%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG021+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:46 AM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 153
% Syntax : Number of formulae : 895 ( 124 unt; 149 def)
% Number of atoms : 4563 (3326 equ)
% Maximal formula atoms : 180 ( 5 avg)
% Number of connectives : 6516 (2848 ~;2225 |;1271 &)
% ( 172 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 151 ( 149 usr; 150 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(e3,e3) = e0
& op(e3,e2) = e1
& op(e3,e1) = e2
& op(e3,e0) = e3
& op(e2,e3) = e1
& op(e2,e2) = e0
& op(e2,e1) = e3
& op(e2,e0) = e2
& op(e1,e3) = e2
& op(e1,e2) = e3
& op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e3) = e3
& op(e0,e2) = e2
& op(e0,e1) = e1
& op(e0,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( inv(e3) = e3
& inv(e2) = e2
& inv(e1) = e1
& inv(e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
( ( inv(e3) = e3
| inv(e3) = e2
| inv(e3) = e1
| inv(e3) = e0 )
& ( inv(e2) = e3
| inv(e2) = e2
| inv(e2) = e1
| inv(e2) = e0 )
& ( inv(e1) = e3
| inv(e1) = e2
| inv(e1) = e1
| inv(e1) = e0 )
& ( inv(e0) = e3
| inv(e0) = e2
| inv(e0) = e1
| inv(e0) = e0 )
& op(inv(e3),e3) = unit
& op(e3,inv(e3)) = unit
& op(inv(e2),e2) = unit
& op(e2,inv(e2)) = unit
& op(inv(e1),e1) = unit
& op(e1,inv(e1)) = unit
& op(inv(e0),e0) = unit
& op(e0,inv(e0)) = unit
& ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& 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
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ( ( inv(e3) = e3
| inv(e3) = e2
| inv(e3) = e1
| inv(e3) = e0 )
& ( inv(e2) = e3
| inv(e2) = e2
| inv(e2) = e1
| inv(e2) = e0 )
& ( inv(e1) = e3
| inv(e1) = e2
| inv(e1) = e1
| inv(e1) = e0 )
& ( inv(e0) = e3
| inv(e0) = e2
| inv(e0) = e1
| inv(e0) = e0 )
& op(inv(e3),e3) = unit
& op(e3,inv(e3)) = unit
& op(inv(e2),e2) = unit
& op(e2,inv(e2)) = unit
& op(inv(e1),e1) = unit
& op(e1,inv(e1)) = unit
& op(inv(e0),e0) = unit
& op(e0,inv(e0)) = unit
& ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& 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
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f13,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
op(e0,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
op(e0,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
op(e0,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
op(e1,e0) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
op(e1,e1) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
op(e1,e2) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
op(e1,e3) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
op(e2,e0) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
op(e2,e1) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
op(e2,e2) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
op(e2,e3) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
op(e3,e0) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
op(e3,e1) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
op(e3,e2) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
op(e3,e3) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
unit = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
inv(e0) = e0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
inv(e1) = e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
inv(e2) = e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
inv(e3) = e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( ( inv(e3) != e3
& inv(e3) != e2
& inv(e3) != e1
& inv(e3) != e0 )
| ( inv(e2) != e3
& inv(e2) != e2
& inv(e2) != e1
& inv(e2) != e0 )
| ( inv(e1) != e3
& inv(e1) != e2
& inv(e1) != e1
& inv(e1) != e0 )
| ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f35,definition,
( sP0_prd
<=> ( ( inv(e2) != e3
& inv(e2) != e2
& inv(e2) != e1
& inv(e2) != e0 )
| ( inv(e1) != e3
& inv(e1) != e2
& inv(e1) != e1
& inv(e1) != e0 )
| ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f36,plain,
( ( inv(e3) != e3
& inv(e3) != e2
& inv(e3) != e1
& inv(e3) != e0 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f34,f35]) ).
fof(f40,plain,
( inv(e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f41,definition,
( sP1_prd
<=> ( ( inv(e1) != e3
& inv(e1) != e2
& inv(e1) != e1
& inv(e1) != e0 )
| ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f42,plain,
( sP0_prd
<=> ( ( inv(e2) != e3
& inv(e2) != e2
& inv(e2) != e1
& inv(e2) != e0 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f35,f41]) ).
fof(f43,plain,
( ( ( ( inv(e2) = e3
| inv(e2) = e2
| inv(e2) = e1
| inv(e2) = e0 )
& ~ sP1_prd )
| sP0_prd )
& ( ( inv(e2) != e3
& inv(e2) != e2
& inv(e2) != e1
& inv(e2) != e0 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
( inv(e2) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f50,definition,
( sP2_prd
<=> ( ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f51,plain,
( sP1_prd
<=> ( ( inv(e1) != e3
& inv(e1) != e2
& inv(e1) != e1
& inv(e1) != e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f41,f50]) ).
fof(f52,plain,
( ( ( ( inv(e1) = e3
| inv(e1) = e2
| inv(e1) = e1
| inv(e1) = e0 )
& ~ sP2_prd )
| sP1_prd )
& ( ( inv(e1) != e3
& inv(e1) != e2
& inv(e1) != e1
& inv(e1) != e0 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
( inv(e1) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f59,definition,
( sP3_prd
<=> ( op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f60,plain,
( sP2_prd
<=> ( ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f50,f59]) ).
fof(f61,plain,
( ( ( ( inv(e0) = e3
| inv(e0) = e2
| inv(e0) = e1
| inv(e0) = e0 )
& ~ sP3_prd )
| sP2_prd )
& ( ( inv(e0) != e3
& inv(e0) != e2
& inv(e0) != e1
& inv(e0) != e0 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
( inv(e0) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f68,definition,
( sP4_prd
<=> ( 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f69,plain,
( sP3_prd
<=> ( op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f59,f68]) ).
fof(f70,plain,
( ( ( op(inv(e3),e3) = unit
& op(e3,inv(e3)) = unit
& op(inv(e2),e2) = unit
& op(e2,inv(e2)) = unit
& op(inv(e1),e1) = unit
& op(e1,inv(e1)) = unit
& op(inv(e0),e0) = unit
& op(e0,inv(e0)) = unit
& ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& ~ sP4_prd )
| sP3_prd )
& ( op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| ( unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
( op(inv(e3),e3) != unit
| op(e3,inv(e3)) != unit
| op(inv(e2),e2) != unit
| op(e2,inv(e2)) != unit
| op(inv(e1),e1) != unit
| op(e1,inv(e1)) != unit
| op(inv(e0),e0) != unit
| op(e0,inv(e0)) != unit
| unit != e0
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f85,definition,
( sP5_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f86,plain,
( sP4_prd
<=> ( 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f68,f85]) ).
fof(f87,plain,
( ( ( 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
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ~ sP5_prd )
| sP4_prd )
& ( 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
( 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
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(e3,e3) != e0
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f166,definition,
( sP6_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f167,plain,
( sP5_prd
<=> ( ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f85,f166]) ).
fof(f168,plain,
( ( ( ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f167]) ).
fof(f170,plain,
( op(e3,e2) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f175,definition,
( sP7_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f176,plain,
( sP6_prd
<=> ( ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f166,f175]) ).
fof(f177,plain,
( ( ( ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f176]) ).
fof(f180,plain,
( op(e3,e1) != e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f184,definition,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f185,plain,
( sP7_prd
<=> ( ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f175,f184]) ).
fof(f186,plain,
( ( ( ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f185]) ).
fof(f190,plain,
( op(e3,e0) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f193,definition,
( sP9_prd
<=> ( ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f194,plain,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f184,f193]) ).
fof(f195,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(e2,e3) != e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f202,definition,
( sP10_prd
<=> ( ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f203,plain,
( sP9_prd
<=> ( ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f193,f202]) ).
fof(f204,plain,
( ( ( ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( op(e2,e2) != e0
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f211,definition,
( sP11_prd
<=> ( ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f212,plain,
( sP10_prd
<=> ( ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f211]) ).
fof(f213,plain,
( ( ( ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f217,plain,
( op(e2,e1) != e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f220,definition,
( sP12_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f221,plain,
( sP11_prd
<=> ( ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f211,f220]) ).
fof(f222,plain,
( ( ( ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e2,e0) != e2
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f229,definition,
( sP13_prd
<=> ( ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f230,plain,
( sP12_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f220,f229]) ).
fof(f231,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f230]) ).
fof(f234,plain,
( op(e1,e3) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f238,definition,
( sP14_prd
<=> ( ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f239,plain,
( sP13_prd
<=> ( ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f229,f238]) ).
fof(f240,plain,
( ( ( ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f239]) ).
fof(f244,plain,
( op(e1,e2) != e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f247,definition,
( sP15_prd
<=> ( ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f248,plain,
( sP14_prd
<=> ( ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f238,f247]) ).
fof(f249,plain,
( ( ( ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ~ sP15_prd )
| sP14_prd )
& ( ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| sP15_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e1,e1) != e0
| sP15_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f256,definition,
( sP16_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f257,plain,
( sP15_prd
<=> ( ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f247,f256]) ).
fof(f258,plain,
( ( ( ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ~ sP16_prd )
| sP15_prd )
& ( ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| sP16_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f257]) ).
fof(f260,plain,
( op(e1,e0) != e1
| sP16_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f265,definition,
( sP17_prd
<=> ( ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f266,plain,
( sP16_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f256,f265]) ).
fof(f267,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ~ sP17_prd )
| sP16_prd )
& ( ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| sP17_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f266]) ).
fof(f271,plain,
( op(e0,e3) != e3
| sP17_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f274,definition,
( sP18_prd
<=> ( ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f275,plain,
( sP17_prd
<=> ( ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f265,f274]) ).
fof(f276,plain,
( ( ( ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ~ sP18_prd )
| sP17_prd )
& ( ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| sP18_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f279,plain,
( op(e0,e2) != e2
| sP18_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f283,definition,
( sP19_prd
<=> ( ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f284,plain,
( sP18_prd
<=> ( ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f274,f283]) ).
fof(f285,plain,
( ( ( ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ~ sP19_prd )
| sP18_prd )
& ( ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| sP19_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( op(e0,e1) != e1
| sP19_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f292,definition,
( sP20_prd
<=> ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f293,plain,
( sP19_prd
<=> ( ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f283,f292]) ).
fof(f294,plain,
( ( ( ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& ~ sP20_prd )
| sP19_prd )
& ( ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| sP20_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e0,e0) != e0
| sP20_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f301,definition,
( sP21_prd
<=> ( ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f302,plain,
( sP20_prd
<=> ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f301]) ).
fof(f303,plain,
( ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ~ sP21_prd
| sP20_prd )
& ( ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& sP21_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f302]) ).
fof(f304,plain,
( sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f310,definition,
( sP22_prd
<=> ( ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f311,plain,
( sP21_prd
<=> ( ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f301,f310]) ).
fof(f312,plain,
( ( ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ~ sP22_prd
| sP21_prd )
& ( ( ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& sP22_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
( sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f319,definition,
( sP23_prd
<=> ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f320,plain,
( sP22_prd
<=> ( ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f310,f319]) ).
fof(f321,plain,
( ( ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ~ sP23_prd
| sP22_prd )
& ( ( ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& sP23_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( sP23_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f328,plain,
( ( ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 )
| sP23_prd )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f329,plain,
( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f334,definition,
( sQ0_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f349,definition,
( sQ4_spl
<=> inv(e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ4_spl
| inv(e3) != e3 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f334,f349]) ).
fof(f353,definition,
( sQ5_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f364,definition,
( sQ8_spl
<=> inv(e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( sQ8_spl
| inv(e2) != e2 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( ~ sQ8_spl
| sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f334,f353,f364]) ).
fof(f374,definition,
( sQ10_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f381,definition,
( sQ12_spl
<=> inv(e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ12_spl
| inv(e1) != e1 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( ~ sQ12_spl
| sQ10_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f54,f353,f374,f381]) ).
fof(f395,definition,
( sQ15_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f398,definition,
( sQ16_spl
<=> inv(e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ16_spl
| inv(e0) != e0 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( ~ sQ16_spl
| sQ15_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f62,f374,f395,f398]) ).
fof(f416,definition,
( sQ20_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f419,definition,
( sQ21_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( sQ21_spl
| unit != e0 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ22_spl
<=> op(e0,inv(e0)) = unit ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ22_spl
| op(e0,inv(e0)) != unit ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ23_spl
<=> op(inv(e0),e0) = unit ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ23_spl
| op(inv(e0),e0) != unit ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ24_spl
<=> op(e1,inv(e1)) = unit ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ24_spl
| op(e1,inv(e1)) != unit ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ25_spl
<=> op(inv(e1),e1) = unit ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ25_spl
| op(inv(e1),e1) != unit ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ26_spl
<=> op(e2,inv(e2)) = unit ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( sQ26_spl
| op(e2,inv(e2)) != unit ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ27_spl
<=> op(inv(e2),e2) = unit ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( sQ27_spl
| op(inv(e2),e2) != unit ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ28_spl
<=> op(e3,inv(e3)) = unit ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ28_spl
| op(e3,inv(e3)) != unit ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ29_spl
<=> op(inv(e3),e3) = unit ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ29_spl
| op(inv(e3),e3) != unit ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ20_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f71,f395,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443]) ).
fof(f469,definition,
( sQ33_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f472,definition,
( sQ34_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ34_spl
| op(e3,e3) != e0 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ35_spl
<=> op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ35_spl
| op(op(e0,e0),e0) != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ36_spl
<=> op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ36_spl
| op(op(e0,e0),e1) != op(e0,op(e0,e1)) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ37_spl
<=> op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ37_spl
| op(op(e0,e0),e2) != op(e0,op(e0,e2)) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ38_spl
<=> op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ38_spl
| op(op(e0,e0),e3) != op(e0,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ39_spl
<=> op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ39_spl
| op(op(e0,e1),e0) != op(e0,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ40_spl
<=> op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ40_spl
| op(op(e0,e1),e1) != op(e0,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ41_spl
<=> op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ41_spl
| op(op(e0,e1),e2) != op(e0,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ42_spl
<=> op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ42_spl
| op(op(e0,e1),e3) != op(e0,op(e1,e3)) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ43_spl
<=> op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ43_spl
| op(op(e0,e2),e0) != op(e0,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ44_spl
<=> op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ44_spl
| op(op(e0,e2),e1) != op(e0,op(e2,e1)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ45_spl
<=> op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ45_spl
| op(op(e0,e2),e2) != op(e0,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ46_spl
<=> op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ46_spl
| op(op(e0,e2),e3) != op(e0,op(e2,e3)) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ47_spl
<=> op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ47_spl
| op(op(e0,e3),e0) != op(e0,op(e3,e0)) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ48_spl
<=> op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( sQ48_spl
| op(op(e0,e3),e1) != op(e0,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ49_spl
<=> op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ49_spl
| op(op(e0,e3),e2) != op(e0,op(e3,e2)) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ50_spl
<=> op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( sQ50_spl
| op(op(e0,e3),e3) != op(e0,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ51_spl
<=> op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ51_spl
| op(op(e1,e0),e0) != op(e1,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ52_spl
<=> op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ52_spl
| op(op(e1,e0),e1) != op(e1,op(e0,e1)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ53_spl
<=> op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ53_spl
| op(op(e1,e0),e2) != op(e1,op(e0,e2)) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ54_spl
<=> op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ54_spl
| op(op(e1,e0),e3) != op(e1,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ55_spl
<=> op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ55_spl
| op(op(e1,e1),e0) != op(e1,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ56_spl
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ56_spl
| op(op(e1,e1),e1) != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ57_spl
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( sQ57_spl
| op(op(e1,e1),e2) != op(e1,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ58_spl
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ58_spl
| op(op(e1,e1),e3) != op(e1,op(e1,e3)) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ59_spl
<=> op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ59_spl
| op(op(e1,e2),e0) != op(e1,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ60_spl
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( sQ60_spl
| op(op(e1,e2),e1) != op(e1,op(e2,e1)) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ61_spl
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( sQ61_spl
| op(op(e1,e2),e2) != op(e1,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ62_spl
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( sQ62_spl
| op(op(e1,e2),e3) != op(e1,op(e2,e3)) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ63_spl
<=> op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ63_spl
| op(op(e1,e3),e0) != op(e1,op(e3,e0)) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ64_spl
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( sQ64_spl
| op(op(e1,e3),e1) != op(e1,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ65_spl
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( sQ65_spl
| op(op(e1,e3),e2) != op(e1,op(e3,e2)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ66_spl
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( sQ66_spl
| op(op(e1,e3),e3) != op(e1,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ67_spl
<=> op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( sQ67_spl
| op(op(e2,e0),e0) != op(e2,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ68_spl
<=> op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( sQ68_spl
| op(op(e2,e0),e1) != op(e2,op(e0,e1)) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ69_spl
<=> op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( sQ69_spl
| op(op(e2,e0),e2) != op(e2,op(e0,e2)) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ70_spl
<=> op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ70_spl
| op(op(e2,e0),e3) != op(e2,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ71_spl
<=> op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ71_spl
| op(op(e2,e1),e0) != op(e2,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ72_spl
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( sQ72_spl
| op(op(e2,e1),e1) != op(e2,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ73_spl
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ73_spl
| op(op(e2,e1),e2) != op(e2,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ74_spl
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ74_spl
| op(op(e2,e1),e3) != op(e2,op(e1,e3)) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ75_spl
<=> op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ75_spl
| op(op(e2,e2),e0) != op(e2,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ76_spl
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ76_spl
| op(op(e2,e2),e1) != op(e2,op(e2,e1)) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ77_spl
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( sQ77_spl
| op(op(e2,e2),e2) != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ78_spl
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( sQ78_spl
| op(op(e2,e2),e3) != op(e2,op(e2,e3)) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ79_spl
<=> op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( sQ79_spl
| op(op(e2,e3),e0) != op(e2,op(e3,e0)) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ80_spl
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ80_spl
| op(op(e2,e3),e1) != op(e2,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ81_spl
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ81_spl
| op(op(e2,e3),e2) != op(e2,op(e3,e2)) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ82_spl
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( sQ82_spl
| op(op(e2,e3),e3) != op(e2,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ83_spl
<=> op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( sQ83_spl
| op(op(e3,e0),e0) != op(e3,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ84_spl
<=> op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( sQ84_spl
| op(op(e3,e0),e1) != op(e3,op(e0,e1)) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ85_spl
<=> op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( sQ85_spl
| op(op(e3,e0),e2) != op(e3,op(e0,e2)) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ86_spl
<=> op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ86_spl
| op(op(e3,e0),e3) != op(e3,op(e0,e3)) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ87_spl
<=> op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( sQ87_spl
| op(op(e3,e1),e0) != op(e3,op(e1,e0)) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ88_spl
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( sQ88_spl
| op(op(e3,e1),e1) != op(e3,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ89_spl
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( sQ89_spl
| op(op(e3,e1),e2) != op(e3,op(e1,e2)) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ90_spl
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( sQ90_spl
| op(op(e3,e1),e3) != op(e3,op(e1,e3)) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ91_spl
<=> op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ91_spl
| op(op(e3,e2),e0) != op(e3,op(e2,e0)) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ92_spl
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( sQ92_spl
| op(op(e3,e2),e1) != op(e3,op(e2,e1)) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ93_spl
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( sQ93_spl
| op(op(e3,e2),e2) != op(e3,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ94_spl
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( sQ94_spl
| op(op(e3,e2),e3) != op(e3,op(e2,e3)) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ95_spl
<=> op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( sQ95_spl
| op(op(e3,e3),e0) != op(e3,op(e3,e0)) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ96_spl
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ96_spl
| op(op(e3,e3),e1) != op(e3,op(e3,e1)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ97_spl
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ97_spl
| op(op(e3,e3),e2) != op(e3,op(e3,e2)) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ98_spl
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( sQ98_spl
| op(op(e3,e3),e3) != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ99_spl
<=> op(unit,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( sQ99_spl
| op(unit,e0) != e0 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ100_spl
<=> op(e0,unit) = e0 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( sQ100_spl
| op(e0,unit) != e0 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ101_spl
<=> op(unit,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( sQ101_spl
| op(unit,e1) != e1 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ102_spl
<=> op(e1,unit) = e1 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( sQ102_spl
| op(e1,unit) != e1 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ103_spl
<=> op(unit,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( sQ103_spl
| op(unit,e2) != e2 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ104_spl
<=> op(e2,unit) = e2 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( sQ104_spl
| op(e2,unit) != e2 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ105_spl
<=> op(unit,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( sQ105_spl
| op(unit,e3) != e3 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ106_spl
<=> op(e3,unit) = e3 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( sQ106_spl
| op(e3,unit) != e3 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ106_spl
| ~ sQ105_spl
| ~ sQ104_spl
| ~ sQ103_spl
| ~ sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ97_spl
| ~ sQ96_spl
| ~ sQ95_spl
| ~ sQ94_spl
| ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ91_spl
| ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ88_spl
| ~ sQ87_spl
| ~ sQ86_spl
| ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ82_spl
| ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ77_spl
| ~ sQ76_spl
| ~ sQ75_spl
| ~ sQ74_spl
| ~ sQ73_spl
| ~ sQ72_spl
| ~ sQ71_spl
| ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ65_spl
| ~ sQ64_spl
| ~ sQ63_spl
| ~ sQ62_spl
| ~ sQ61_spl
| ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ58_spl
| ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ55_spl
| ~ sQ54_spl
| ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ51_spl
| ~ sQ50_spl
| ~ sQ49_spl
| ~ sQ48_spl
| ~ sQ47_spl
| ~ sQ46_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ42_spl
| ~ sQ41_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| sQ33_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f88,f416,f469,f472,f475,f478,f481,f484,f487,f490,f493,f496,f499,f502,f505,f508,f511,f514,f517,f520,f523,f526,f529,f532,f535,f538,f541,f544,f547,f550,f553,f556,f559,f562,f565,f568,f571,f574,f577,f580,f583,f586,f589,f592,f595,f598,f601,f604,f607,f610,f613,f616,f619,f622,f625,f628,f631,f634,f637,f640,f643,f646,f649,f652,f655,f658,f661,f664,f667,f670,f673,f676,f679,f682,f685,f688]) ).
fof(f778,definition,
( sQ110_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f785,definition,
( sQ112_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ112_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ sQ112_spl
| sQ110_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f170,f469,f778,f785]) ).
fof(f799,definition,
( sQ115_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f810,definition,
( sQ118_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( sQ118_spl
| op(e3,e1) != e2 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ118_spl
| sQ115_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f180,f778,f799,f810]) ).
fof(f820,definition,
( sQ120_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f835,definition,
( sQ124_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( sQ124_spl
| op(e3,e0) != e3 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( ~ sQ124_spl
| sQ120_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f190,f799,f820,f835]) ).
fof(f841,definition,
( sQ125_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f848,definition,
( sQ127_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( sQ127_spl
| op(e2,e3) != e1 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( ~ sQ127_spl
| sQ125_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f197,f820,f841,f848]) ).
fof(f862,definition,
( sQ130_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f865,definition,
( sQ131_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( sQ131_spl
| op(e2,e2) != e0 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( ~ sQ131_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f205,f841,f862,f865]) ).
fof(f883,definition,
( sQ135_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f898,definition,
( sQ139_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( sQ139_spl
| op(e2,e1) != e3 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( ~ sQ139_spl
| sQ135_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f217,f862,f883,f898]) ).
fof(f904,definition,
( sQ140_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f915,definition,
( sQ143_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ143_spl
| op(e2,e0) != e2 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ143_spl
| sQ140_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f225,f883,f904,f915]) ).
fof(f925,definition,
( sQ145_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f936,definition,
( sQ148_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ148_spl
| op(e1,e3) != e2 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( ~ sQ148_spl
| sQ145_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f234,f904,f925,f936]) ).
fof(f946,definition,
( sQ150_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f961,definition,
( sQ154_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ154_spl
| op(e1,e2) != e3 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( ~ sQ154_spl
| sQ150_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f244,f925,f946,f961]) ).
fof(f967,definition,
( sQ155_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f970,definition,
( sQ156_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ156_spl
| op(e1,e1) != e0 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ156_spl
| sQ155_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f250,f946,f967,f970]) ).
fof(f988,definition,
( sQ160_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f995,definition,
( sQ162_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( sQ162_spl
| op(e1,e0) != e1 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( ~ sQ162_spl
| sQ160_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f260,f967,f988,f995]) ).
fof(f1009,definition,
( sQ165_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1024,definition,
( sQ169_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( sQ169_spl
| op(e0,e3) != e3 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1027,plain,
( ~ sQ169_spl
| sQ165_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f271,f988,f1009,f1024]) ).
fof(f1030,definition,
( sQ170_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1041,definition,
( sQ173_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( sQ173_spl
| op(e0,e2) != e2 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( ~ sQ173_spl
| sQ170_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f279,f1009,f1030,f1041]) ).
fof(f1051,definition,
( sQ175_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1058,definition,
( sQ177_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( sQ177_spl
| op(e0,e1) != e1 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( ~ sQ177_spl
| sQ175_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f287,f1030,f1051,f1058]) ).
fof(f1072,definition,
( sQ180_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1075,definition,
( sQ181_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( sQ181_spl
| op(e0,e0) != e0 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( ~ sQ181_spl
| sQ180_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f295,f1051,f1072,f1075]) ).
fof(f1093,definition,
( sQ185_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ185_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f304,f1072,f1093]) ).
fof(f1102,definition,
( sQ186_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( sQ186_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f313,f1093,f1102]) ).
fof(f1111,definition,
( sQ187_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( sQ187_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f322,f1102,f1111]) ).
fof(f1120,plain,
( ~ sQ34_spl
| ~ sQ131_spl
| ~ sQ156_spl
| ~ sQ181_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f329,f1111,f1075,f970,f865,f472]) ).
fof(f1125,plain,
( sQ4_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f33,f351]) ).
fof(f1126,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1125]) ).
fof(f1127,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1131,plain,
( sQ106_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f29,f690]) ).
fof(f1132,plain,
( sQ106_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f1131]) ).
fof(f1133,plain,
( sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1132]) ).
fof(f1134,plain,
sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ105_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f29,f687]) ).
fof(f1136,plain,
( sQ105_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1135]) ).
fof(f1137,plain,
( sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1136]) ).
fof(f1138,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ104_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f29,f684]) ).
fof(f1140,plain,
( sQ104_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f1139]) ).
fof(f1141,plain,
( sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1140]) ).
fof(f1142,plain,
sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( sQ103_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f29,f681]) ).
fof(f1144,plain,
( sQ103_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1143]) ).
fof(f1145,plain,
( sQ103_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1144]) ).
fof(f1146,plain,
sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sQ102_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f29,f678]) ).
fof(f1148,plain,
( sQ102_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f1147]) ).
fof(f1149,plain,
( sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1148]) ).
fof(f1150,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( sQ101_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f29,f675]) ).
fof(f1152,plain,
( sQ101_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1151]) ).
fof(f1153,plain,
( sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1152]) ).
fof(f1154,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1155,plain,
( sQ100_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f672]) ).
fof(f1156,plain,
( sQ100_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1155]) ).
fof(f1157,plain,
( sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1156]) ).
fof(f1158,plain,
sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( sQ99_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f669]) ).
fof(f1160,plain,
( sQ99_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1159]) ).
fof(f1161,plain,
( sQ99_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1160]) ).
fof(f1162,plain,
sQ99_spl,
inference(contradiction_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( sQ98_spl
| op(e0,e3) != op(e3,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f28,f666]) ).
fof(f1164,plain,
( sQ98_spl
| e3 != op(e3,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f16,f1163]) ).
fof(f1165,plain,
( sQ98_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f28,f1164]) ).
fof(f1166,plain,
( sQ98_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f1165]) ).
fof(f1167,plain,
( sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1166]) ).
fof(f1168,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( sQ97_spl
| op(e0,e2) != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f28,f663]) ).
fof(f1170,plain,
( sQ97_spl
| e2 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f15,f1169]) ).
fof(f1171,plain,
( sQ97_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f27,f1170]) ).
fof(f1172,plain,
( sQ97_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f1171]) ).
fof(f1173,plain,
( sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1172]) ).
fof(f1174,plain,
sQ97_spl,
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( sQ96_spl
| op(e0,e1) != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f28,f660]) ).
fof(f1176,plain,
( sQ96_spl
| e1 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f14,f1175]) ).
fof(f1177,plain,
( sQ96_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f26,f1176]) ).
fof(f1178,plain,
( sQ96_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f27,f1177]) ).
fof(f1179,plain,
( sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1178]) ).
fof(f1180,plain,
sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( sQ95_spl
| op(e0,e0) != op(e3,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f28,f657]) ).
fof(f1182,plain,
( sQ95_spl
| e0 != op(e3,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f13,f1181]) ).
fof(f1183,plain,
( sQ95_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f25,f1182]) ).
fof(f1184,plain,
( sQ95_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f1183]) ).
fof(f1185,plain,
( sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1184]) ).
fof(f1186,plain,
sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1187,plain,
( sQ94_spl
| op(e1,e3) != op(e3,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f27,f654]) ).
fof(f1188,plain,
( sQ94_spl
| e2 != op(e3,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f20,f1187]) ).
fof(f1189,plain,
( sQ94_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f24,f1188]) ).
fof(f1190,plain,
( sQ94_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f1189]) ).
fof(f1191,plain,
( sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1190]) ).
fof(f1192,plain,
sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1191]) ).
fof(f1193,plain,
( sQ93_spl
| op(e1,e2) != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f27,f651]) ).
fof(f1194,plain,
( sQ93_spl
| e3 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f19,f1193]) ).
fof(f1195,plain,
( sQ93_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f23,f1194]) ).
fof(f1196,plain,
( sQ93_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f1195]) ).
fof(f1197,plain,
( sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1196]) ).
fof(f1198,plain,
sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( sQ92_spl
| op(e1,e1) != op(e3,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f27,f648]) ).
fof(f1200,plain,
( sQ92_spl
| e0 != op(e3,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f18,f1199]) ).
fof(f1201,plain,
( sQ92_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f22,f1200]) ).
fof(f1202,plain,
( sQ92_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f1201]) ).
fof(f1203,plain,
( sQ92_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1202]) ).
fof(f1204,plain,
sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1205,plain,
( sQ91_spl
| op(e1,e0) != op(e3,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f27,f645]) ).
fof(f1206,plain,
( sQ91_spl
| e1 != op(e3,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f17,f1205]) ).
fof(f1207,plain,
( sQ91_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f21,f1206]) ).
fof(f1208,plain,
( sQ91_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f27,f1207]) ).
fof(f1209,plain,
( sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1208]) ).
fof(f1210,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1209]) ).
fof(f1211,plain,
( sQ90_spl
| op(e2,e3) != op(e3,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f26,f642]) ).
fof(f1212,plain,
( sQ90_spl
| e1 != op(e3,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f24,f1211]) ).
fof(f1213,plain,
( sQ90_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f20,f1212]) ).
fof(f1214,plain,
( sQ90_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f27,f1213]) ).
fof(f1215,plain,
( sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1214]) ).
fof(f1216,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sQ89_spl
| op(e2,e2) != op(e3,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f26,f639]) ).
fof(f1218,plain,
( sQ89_spl
| e0 != op(e3,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f23,f1217]) ).
fof(f1219,plain,
( sQ89_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f19,f1218]) ).
fof(f1220,plain,
( sQ89_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f1219]) ).
fof(f1221,plain,
( sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1220]) ).
fof(f1222,plain,
sQ89_spl,
inference(contradiction_clause,[status(thm)],[f1221]) ).
fof(f1223,plain,
( sQ88_spl
| op(e2,e1) != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f26,f636]) ).
fof(f1224,plain,
( sQ88_spl
| e3 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f22,f1223]) ).
fof(f1225,plain,
( sQ88_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f18,f1224]) ).
fof(f1226,plain,
( sQ88_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f1225]) ).
fof(f1227,plain,
( sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1226]) ).
fof(f1228,plain,
sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( sQ87_spl
| op(e2,e0) != op(e3,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f26,f633]) ).
fof(f1230,plain,
( sQ87_spl
| e2 != op(e3,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f21,f1229]) ).
fof(f1231,plain,
( sQ87_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f17,f1230]) ).
fof(f1232,plain,
( sQ87_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f1231]) ).
fof(f1233,plain,
( sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1232]) ).
fof(f1234,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1233]) ).
fof(f1235,plain,
( sQ86_spl
| op(e3,e3) != op(e3,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f25,f630]) ).
fof(f1236,plain,
( sQ86_spl
| e0 != op(e3,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f28,f1235]) ).
fof(f1237,plain,
( sQ86_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f16,f1236]) ).
fof(f1238,plain,
( sQ86_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f1237]) ).
fof(f1239,plain,
( sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1238]) ).
fof(f1240,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1239]) ).
fof(f1241,plain,
( sQ85_spl
| op(e3,e2) != op(e3,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f25,f627]) ).
fof(f1242,plain,
( sQ85_spl
| e1 != op(e3,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f27,f1241]) ).
fof(f1243,plain,
( sQ85_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f15,f1242]) ).
fof(f1244,plain,
( sQ85_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f27,f1243]) ).
fof(f1245,plain,
( sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1244]) ).
fof(f1246,plain,
sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1247,plain,
( sQ84_spl
| op(e3,e1) != op(e3,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f25,f624]) ).
fof(f1248,plain,
( sQ84_spl
| e2 != op(e3,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f26,f1247]) ).
fof(f1249,plain,
( sQ84_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f14,f1248]) ).
fof(f1250,plain,
( sQ84_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f1249]) ).
fof(f1251,plain,
( sQ84_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1250]) ).
fof(f1252,plain,
sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1251]) ).
fof(f1253,plain,
( sQ83_spl
| op(e3,e0) != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f25,f621]) ).
fof(f1254,plain,
( sQ83_spl
| e3 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f25,f1253]) ).
fof(f1255,plain,
( sQ83_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f13,f1254]) ).
fof(f1256,plain,
( sQ83_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f1255]) ).
fof(f1257,plain,
( sQ83_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1256]) ).
fof(f1258,plain,
sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1257]) ).
fof(f1259,plain,
( sQ82_spl
| op(e1,e3) != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f24,f618]) ).
fof(f1260,plain,
( sQ82_spl
| e2 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f20,f1259]) ).
fof(f1261,plain,
( sQ82_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f28,f1260]) ).
fof(f1262,plain,
( sQ82_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f1261]) ).
fof(f1263,plain,
( sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1262]) ).
fof(f1264,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1265,plain,
( sQ81_spl
| op(e1,e2) != op(e2,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f24,f615]) ).
fof(f1266,plain,
( sQ81_spl
| e3 != op(e2,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f19,f1265]) ).
fof(f1267,plain,
( sQ81_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f27,f1266]) ).
fof(f1268,plain,
( sQ81_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1267]) ).
fof(f1269,plain,
( sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1268]) ).
fof(f1270,plain,
sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( sQ80_spl
| op(e1,e1) != op(e2,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f24,f612]) ).
fof(f1272,plain,
( sQ80_spl
| e0 != op(e2,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f18,f1271]) ).
fof(f1273,plain,
( sQ80_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f26,f1272]) ).
fof(f1274,plain,
( sQ80_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f23,f1273]) ).
fof(f1275,plain,
( sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1274]) ).
fof(f1276,plain,
sQ80_spl,
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ79_spl
| op(e1,e0) != op(e2,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f24,f609]) ).
fof(f1278,plain,
( sQ79_spl
| e1 != op(e2,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f17,f1277]) ).
fof(f1279,plain,
( sQ79_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f25,f1278]) ).
fof(f1280,plain,
( sQ79_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f1279]) ).
fof(f1281,plain,
( sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1280]) ).
fof(f1282,plain,
sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( sQ78_spl
| op(e0,e3) != op(e2,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f23,f606]) ).
fof(f1284,plain,
( sQ78_spl
| e3 != op(e2,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f16,f1283]) ).
fof(f1285,plain,
( sQ78_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f24,f1284]) ).
fof(f1286,plain,
( sQ78_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1285]) ).
fof(f1287,plain,
( sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1286]) ).
fof(f1288,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1289,plain,
( sQ77_spl
| op(e0,e2) != op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f23,f603]) ).
fof(f1290,plain,
( sQ77_spl
| e2 != op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f15,f1289]) ).
fof(f1291,plain,
( sQ77_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f23,f1290]) ).
fof(f1292,plain,
( sQ77_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f1291]) ).
fof(f1293,plain,
( sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1292]) ).
fof(f1294,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( sQ76_spl
| op(e0,e1) != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f23,f600]) ).
fof(f1296,plain,
( sQ76_spl
| e1 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f14,f1295]) ).
fof(f1297,plain,
( sQ76_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f22,f1296]) ).
fof(f1298,plain,
( sQ76_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f1297]) ).
fof(f1299,plain,
( sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1298]) ).
fof(f1300,plain,
sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( sQ75_spl
| op(e0,e0) != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f23,f597]) ).
fof(f1302,plain,
( sQ75_spl
| e0 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f13,f1301]) ).
fof(f1303,plain,
( sQ75_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f21,f1302]) ).
fof(f1304,plain,
( sQ75_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f23,f1303]) ).
fof(f1305,plain,
( sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1304]) ).
fof(f1306,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f1305]) ).
fof(f1307,plain,
( sQ74_spl
| op(e3,e3) != op(e2,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f22,f594]) ).
fof(f1308,plain,
( sQ74_spl
| e0 != op(e2,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f28,f1307]) ).
fof(f1309,plain,
( sQ74_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f20,f1308]) ).
fof(f1310,plain,
( sQ74_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f23,f1309]) ).
fof(f1311,plain,
( sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1310]) ).
fof(f1312,plain,
sQ74_spl,
inference(contradiction_clause,[status(thm)],[f1311]) ).
fof(f1313,plain,
( sQ73_spl
| op(e3,e2) != op(e2,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f22,f591]) ).
fof(f1314,plain,
( sQ73_spl
| e1 != op(e2,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f27,f1313]) ).
fof(f1315,plain,
( sQ73_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f19,f1314]) ).
fof(f1316,plain,
( sQ73_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f1315]) ).
fof(f1317,plain,
( sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1316]) ).
fof(f1318,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( sQ72_spl
| op(e3,e1) != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f22,f588]) ).
fof(f1320,plain,
( sQ72_spl
| e2 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f26,f1319]) ).
fof(f1321,plain,
( sQ72_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f18,f1320]) ).
fof(f1322,plain,
( sQ72_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f1321]) ).
fof(f1323,plain,
( sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1322]) ).
fof(f1324,plain,
sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1325,plain,
( sQ71_spl
| op(e3,e0) != op(e2,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f22,f585]) ).
fof(f1326,plain,
( sQ71_spl
| e3 != op(e2,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f25,f1325]) ).
fof(f1327,plain,
( sQ71_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f17,f1326]) ).
fof(f1328,plain,
( sQ71_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1327]) ).
fof(f1329,plain,
( sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1328]) ).
fof(f1330,plain,
sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1331,plain,
( sQ70_spl
| op(e2,e3) != op(e2,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f21,f582]) ).
fof(f1332,plain,
( sQ70_spl
| e1 != op(e2,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f24,f1331]) ).
fof(f1333,plain,
( sQ70_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f16,f1332]) ).
fof(f1334,plain,
( sQ70_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f1333]) ).
fof(f1335,plain,
( sQ70_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1334]) ).
fof(f1336,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1337,plain,
( sQ69_spl
| op(e2,e2) != op(e2,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f21,f579]) ).
fof(f1338,plain,
( sQ69_spl
| e0 != op(e2,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f23,f1337]) ).
fof(f1339,plain,
( sQ69_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f15,f1338]) ).
fof(f1340,plain,
( sQ69_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f23,f1339]) ).
fof(f1341,plain,
( sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1340]) ).
fof(f1342,plain,
sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( sQ68_spl
| op(e2,e1) != op(e2,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f21,f576]) ).
fof(f1344,plain,
( sQ68_spl
| e3 != op(e2,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f22,f1343]) ).
fof(f1345,plain,
( sQ68_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f14,f1344]) ).
fof(f1346,plain,
( sQ68_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f1345]) ).
fof(f1347,plain,
( sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1346]) ).
fof(f1348,plain,
sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1349,plain,
( sQ67_spl
| op(e2,e0) != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f21,f573]) ).
fof(f1350,plain,
( sQ67_spl
| e2 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f21,f1349]) ).
fof(f1351,plain,
( sQ67_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f13,f1350]) ).
fof(f1352,plain,
( sQ67_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f1351]) ).
fof(f1353,plain,
( sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1352]) ).
fof(f1354,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( sQ66_spl
| op(e2,e3) != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f20,f570]) ).
fof(f1356,plain,
( sQ66_spl
| e1 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f24,f1355]) ).
fof(f1357,plain,
( sQ66_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f28,f1356]) ).
fof(f1358,plain,
( sQ66_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f1357]) ).
fof(f1359,plain,
( sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1358]) ).
fof(f1360,plain,
sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1361,plain,
( sQ65_spl
| op(e2,e2) != op(e1,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f20,f567]) ).
fof(f1362,plain,
( sQ65_spl
| e0 != op(e1,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f23,f1361]) ).
fof(f1363,plain,
( sQ65_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f27,f1362]) ).
fof(f1364,plain,
( sQ65_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f1363]) ).
fof(f1365,plain,
( sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1364]) ).
fof(f1366,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
( sQ64_spl
| op(e2,e1) != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f20,f564]) ).
fof(f1368,plain,
( sQ64_spl
| e3 != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f22,f1367]) ).
fof(f1369,plain,
( sQ64_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f26,f1368]) ).
fof(f1370,plain,
( sQ64_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f19,f1369]) ).
fof(f1371,plain,
( sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1370]) ).
fof(f1372,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
( sQ63_spl
| op(e2,e0) != op(e1,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f20,f561]) ).
fof(f1374,plain,
( sQ63_spl
| e2 != op(e1,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f21,f1373]) ).
fof(f1375,plain,
( sQ63_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f25,f1374]) ).
fof(f1376,plain,
( sQ63_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1375]) ).
fof(f1377,plain,
( sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1376]) ).
fof(f1378,plain,
sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( sQ62_spl
| op(e3,e3) != op(e1,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f19,f558]) ).
fof(f1380,plain,
( sQ62_spl
| e0 != op(e1,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f28,f1379]) ).
fof(f1381,plain,
( sQ62_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f24,f1380]) ).
fof(f1382,plain,
( sQ62_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f1381]) ).
fof(f1383,plain,
( sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1382]) ).
fof(f1384,plain,
sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1385,plain,
( sQ61_spl
| op(e3,e2) != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f19,f555]) ).
fof(f1386,plain,
( sQ61_spl
| e1 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f27,f1385]) ).
fof(f1387,plain,
( sQ61_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f23,f1386]) ).
fof(f1388,plain,
( sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f1387]) ).
fof(f1389,plain,
( sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1388]) ).
fof(f1390,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
( sQ60_spl
| op(e3,e1) != op(e1,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f19,f552]) ).
fof(f1392,plain,
( sQ60_spl
| e2 != op(e1,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f26,f1391]) ).
fof(f1393,plain,
( sQ60_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f22,f1392]) ).
fof(f1394,plain,
( sQ60_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1393]) ).
fof(f1395,plain,
( sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1394]) ).
fof(f1396,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1395]) ).
fof(f1397,plain,
( sQ59_spl
| op(e3,e0) != op(e1,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f19,f549]) ).
fof(f1398,plain,
( sQ59_spl
| e3 != op(e1,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f25,f1397]) ).
fof(f1399,plain,
( sQ59_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f21,f1398]) ).
fof(f1400,plain,
( sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f19,f1399]) ).
fof(f1401,plain,
( sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1400]) ).
fof(f1402,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1401]) ).
fof(f1403,plain,
( sQ58_spl
| op(e0,e3) != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f18,f546]) ).
fof(f1404,plain,
( sQ58_spl
| e3 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f16,f1403]) ).
fof(f1405,plain,
( sQ58_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f20,f1404]) ).
fof(f1406,plain,
( sQ58_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f19,f1405]) ).
fof(f1407,plain,
( sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1406]) ).
fof(f1408,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1409,plain,
( sQ57_spl
| op(e0,e2) != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f18,f543]) ).
fof(f1410,plain,
( sQ57_spl
| e2 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f15,f1409]) ).
fof(f1411,plain,
( sQ57_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f19,f1410]) ).
fof(f1412,plain,
( sQ57_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1411]) ).
fof(f1413,plain,
( sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1412]) ).
fof(f1414,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1413]) ).
fof(f1415,plain,
( sQ56_spl
| op(e0,e1) != op(e1,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f18,f540]) ).
fof(f1416,plain,
( sQ56_spl
| e1 != op(e1,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f14,f1415]) ).
fof(f1417,plain,
( sQ56_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f18,f1416]) ).
fof(f1418,plain,
( sQ56_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f1417]) ).
fof(f1419,plain,
( sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1418]) ).
fof(f1420,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f1419]) ).
fof(f1421,plain,
( sQ55_spl
| op(e0,e0) != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f18,f537]) ).
fof(f1422,plain,
( sQ55_spl
| e0 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f13,f1421]) ).
fof(f1423,plain,
( sQ55_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f17,f1422]) ).
fof(f1424,plain,
( sQ55_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f1423]) ).
fof(f1425,plain,
( sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1424]) ).
fof(f1426,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1427,plain,
( sQ54_spl
| op(e1,e3) != op(e1,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f17,f534]) ).
fof(f1428,plain,
( sQ54_spl
| e2 != op(e1,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f20,f1427]) ).
fof(f1429,plain,
( sQ54_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f16,f1428]) ).
fof(f1430,plain,
( sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f1429]) ).
fof(f1431,plain,
( sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1430]) ).
fof(f1432,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
( sQ53_spl
| op(e1,e2) != op(e1,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f17,f531]) ).
fof(f1434,plain,
( sQ53_spl
| e3 != op(e1,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f19,f1433]) ).
fof(f1435,plain,
( sQ53_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f15,f1434]) ).
fof(f1436,plain,
( sQ53_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f19,f1435]) ).
fof(f1437,plain,
( sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1436]) ).
fof(f1438,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( sQ52_spl
| op(e1,e1) != op(e1,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f17,f528]) ).
fof(f1440,plain,
( sQ52_spl
| e0 != op(e1,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f18,f1439]) ).
fof(f1441,plain,
( sQ52_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f14,f1440]) ).
fof(f1442,plain,
( sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f1441]) ).
fof(f1443,plain,
( sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1442]) ).
fof(f1444,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1445,plain,
( sQ51_spl
| op(e1,e0) != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f17,f525]) ).
fof(f1446,plain,
( sQ51_spl
| e1 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f17,f1445]) ).
fof(f1447,plain,
( sQ51_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f13,f1446]) ).
fof(f1448,plain,
( sQ51_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f1447]) ).
fof(f1449,plain,
( sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1448]) ).
fof(f1450,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1451,plain,
( sQ50_spl
| op(e3,e3) != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f16,f522]) ).
fof(f1452,plain,
( sQ50_spl
| e0 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f28,f1451]) ).
fof(f1453,plain,
( sQ50_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f28,f1452]) ).
fof(f1454,plain,
( sQ50_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1453]) ).
fof(f1455,plain,
( sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1454]) ).
fof(f1456,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( sQ49_spl
| op(e3,e2) != op(e0,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f16,f519]) ).
fof(f1458,plain,
( sQ49_spl
| e1 != op(e0,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f27,f1457]) ).
fof(f1459,plain,
( sQ49_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f27,f1458]) ).
fof(f1460,plain,
( sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1459]) ).
fof(f1461,plain,
( sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1460]) ).
fof(f1462,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f1461]) ).
fof(f1463,plain,
( sQ48_spl
| op(e3,e1) != op(e0,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f16,f516]) ).
fof(f1464,plain,
( sQ48_spl
| e2 != op(e0,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f26,f1463]) ).
fof(f1465,plain,
( sQ48_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f26,f1464]) ).
fof(f1466,plain,
( sQ48_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1465]) ).
fof(f1467,plain,
( sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1466]) ).
fof(f1468,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1467]) ).
fof(f1469,plain,
( sQ47_spl
| op(e3,e0) != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f16,f513]) ).
fof(f1470,plain,
( sQ47_spl
| e3 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f25,f1469]) ).
fof(f1471,plain,
( sQ47_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f25,f1470]) ).
fof(f1472,plain,
( sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1471]) ).
fof(f1473,plain,
( sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1472]) ).
fof(f1474,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1473]) ).
fof(f1475,plain,
( sQ46_spl
| op(e2,e3) != op(e0,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f15,f510]) ).
fof(f1476,plain,
( sQ46_spl
| e1 != op(e0,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f24,f1475]) ).
fof(f1477,plain,
( sQ46_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f24,f1476]) ).
fof(f1478,plain,
( sQ46_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1477]) ).
fof(f1479,plain,
( sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1478]) ).
fof(f1480,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1481,plain,
( sQ45_spl
| op(e2,e2) != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f15,f507]) ).
fof(f1482,plain,
( sQ45_spl
| e0 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f23,f1481]) ).
fof(f1483,plain,
( sQ45_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f23,f1482]) ).
fof(f1484,plain,
( sQ45_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1483]) ).
fof(f1485,plain,
( sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1484]) ).
fof(f1486,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1485]) ).
fof(f1487,plain,
( sQ44_spl
| op(e2,e1) != op(e0,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f15,f504]) ).
fof(f1488,plain,
( sQ44_spl
| e3 != op(e0,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f22,f1487]) ).
fof(f1489,plain,
( sQ44_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f22,f1488]) ).
fof(f1490,plain,
( sQ44_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1489]) ).
fof(f1491,plain,
( sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1490]) ).
fof(f1492,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1491]) ).
fof(f1493,plain,
( sQ43_spl
| op(e2,e0) != op(e0,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f15,f501]) ).
fof(f1494,plain,
( sQ43_spl
| e2 != op(e0,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f21,f1493]) ).
fof(f1495,plain,
( sQ43_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f21,f1494]) ).
fof(f1496,plain,
( sQ43_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1495]) ).
fof(f1497,plain,
( sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1496]) ).
fof(f1498,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( sQ42_spl
| op(e1,e3) != op(e0,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f14,f498]) ).
fof(f1500,plain,
( sQ42_spl
| e2 != op(e0,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f20,f1499]) ).
fof(f1501,plain,
( sQ42_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f20,f1500]) ).
fof(f1502,plain,
( sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1501]) ).
fof(f1503,plain,
( sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1502]) ).
fof(f1504,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1505,plain,
( sQ41_spl
| op(e1,e2) != op(e0,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f14,f495]) ).
fof(f1506,plain,
( sQ41_spl
| e3 != op(e0,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f19,f1505]) ).
fof(f1507,plain,
( sQ41_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f19,f1506]) ).
fof(f1508,plain,
( sQ41_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1507]) ).
fof(f1509,plain,
( sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1508]) ).
fof(f1510,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( sQ40_spl
| op(e1,e1) != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f14,f492]) ).
fof(f1512,plain,
( sQ40_spl
| e0 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f18,f1511]) ).
fof(f1513,plain,
( sQ40_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f18,f1512]) ).
fof(f1514,plain,
( sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1513]) ).
fof(f1515,plain,
( sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1514]) ).
fof(f1516,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1517,plain,
( sQ39_spl
| op(e1,e0) != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f14,f489]) ).
fof(f1518,plain,
( sQ39_spl
| e1 != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f17,f1517]) ).
fof(f1519,plain,
( sQ39_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f17,f1518]) ).
fof(f1520,plain,
( sQ39_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1519]) ).
fof(f1521,plain,
( sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1520]) ).
fof(f1522,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( sQ38_spl
| op(e0,e3) != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f13,f486]) ).
fof(f1524,plain,
( sQ38_spl
| e3 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f16,f1523]) ).
fof(f1525,plain,
( sQ38_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f16,f1524]) ).
fof(f1526,plain,
( sQ38_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1525]) ).
fof(f1527,plain,
( sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1526]) ).
fof(f1528,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1529,plain,
( sQ37_spl
| op(e0,e2) != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f13,f483]) ).
fof(f1530,plain,
( sQ37_spl
| e2 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f15,f1529]) ).
fof(f1531,plain,
( sQ37_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f15,f1530]) ).
fof(f1532,plain,
( sQ37_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1531]) ).
fof(f1533,plain,
( sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1532]) ).
fof(f1534,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( sQ36_spl
| op(e0,e1) != op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f13,f480]) ).
fof(f1536,plain,
( sQ36_spl
| e1 != op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f14,f1535]) ).
fof(f1537,plain,
( sQ36_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f14,f1536]) ).
fof(f1538,plain,
( sQ36_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1537]) ).
fof(f1539,plain,
( sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1538]) ).
fof(f1540,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( sQ29_spl
| op(e3,e3) != unit ),
inference(forward_demodulation,[status(thm)],[f33,f445]) ).
fof(f1542,plain,
( sQ29_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f28,f1541]) ).
fof(f1543,plain,
( sQ29_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1542]) ).
fof(f1544,plain,
( sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1543]) ).
fof(f1545,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1546,plain,
( sQ28_spl
| op(e3,e3) != unit ),
inference(forward_demodulation,[status(thm)],[f33,f442]) ).
fof(f1547,plain,
( sQ28_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f28,f1546]) ).
fof(f1548,plain,
( sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1547]) ).
fof(f1549,plain,
( sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1548]) ).
fof(f1550,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1551,plain,
( sQ27_spl
| op(e2,e2) != unit ),
inference(forward_demodulation,[status(thm)],[f32,f439]) ).
fof(f1552,plain,
( sQ27_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f23,f1551]) ).
fof(f1553,plain,
( sQ27_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1552]) ).
fof(f1554,plain,
( sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1553]) ).
fof(f1555,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( sQ26_spl
| op(e2,e2) != unit ),
inference(forward_demodulation,[status(thm)],[f32,f436]) ).
fof(f1557,plain,
( sQ26_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f23,f1556]) ).
fof(f1558,plain,
( sQ26_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1557]) ).
fof(f1559,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1558]) ).
fof(f1560,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( sQ25_spl
| op(e1,e1) != unit ),
inference(forward_demodulation,[status(thm)],[f31,f433]) ).
fof(f1562,plain,
( sQ25_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f18,f1561]) ).
fof(f1563,plain,
( sQ25_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1562]) ).
fof(f1564,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1563]) ).
fof(f1565,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1566,plain,
( sQ24_spl
| op(e1,e1) != unit ),
inference(forward_demodulation,[status(thm)],[f31,f430]) ).
fof(f1567,plain,
( sQ24_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f18,f1566]) ).
fof(f1568,plain,
( sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1567]) ).
fof(f1569,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1568]) ).
fof(f1570,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1571,plain,
( sQ23_spl
| op(e0,e0) != unit ),
inference(forward_demodulation,[status(thm)],[f30,f427]) ).
fof(f1572,plain,
( sQ23_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f13,f1571]) ).
fof(f1573,plain,
( sQ23_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1572]) ).
fof(f1574,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1573]) ).
fof(f1575,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1574]) ).
fof(f1576,plain,
( sQ22_spl
| op(e0,e0) != unit ),
inference(forward_demodulation,[status(thm)],[f30,f424]) ).
fof(f1577,plain,
( sQ22_spl
| e0 != unit ),
inference(forward_demodulation,[status(thm)],[f13,f1576]) ).
fof(f1578,plain,
( sQ22_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f1577]) ).
fof(f1579,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1578]) ).
fof(f1580,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1813,plain,
( sQ35_spl
| op(e0,e0) != op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f13,f477]) ).
fof(f1814,plain,
( sQ35_spl
| e0 != op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f13,f1813]) ).
fof(f1815,plain,
( sQ35_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f13,f1814]) ).
fof(f1816,plain,
( sQ35_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1815]) ).
fof(f1817,plain,
( sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1816]) ).
fof(f1818,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1817]) ).
fof(f1822,plain,
( sQ131_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f23,f867]) ).
fof(f1823,plain,
( sQ131_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1822]) ).
fof(f1824,plain,
sQ131_spl,
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1834,plain,
( sQ156_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f18,f972]) ).
fof(f1835,plain,
( sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1834]) ).
fof(f1836,plain,
sQ156_spl,
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1837,plain,
( sQ181_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f13,f1077]) ).
fof(f1838,plain,
( sQ181_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1837]) ).
fof(f1839,plain,
sQ181_spl,
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( sQ34_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f28,f474]) ).
fof(f1841,plain,
( sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1840]) ).
fof(f1842,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1845,plain,
( sQ8_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f32,f366]) ).
fof(f1846,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1845]) ).
fof(f1847,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1846]) ).
fof(f1984,plain,
( sQ12_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f31,f383]) ).
fof(f1985,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1984]) ).
fof(f1986,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f2032,plain,
( sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f30,f400]) ).
fof(f2033,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2032]) ).
fof(f2034,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2035,plain,
( sQ21_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f29,f421]) ).
fof(f2036,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2035]) ).
fof(f2037,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2038,plain,
( sQ112_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f27,f787]) ).
fof(f2039,plain,
( sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2038]) ).
fof(f2040,plain,
sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2041,plain,
( sQ118_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f26,f812]) ).
fof(f2042,plain,
( sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2041]) ).
fof(f2043,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2044,plain,
( sQ124_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f25,f837]) ).
fof(f2045,plain,
( sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2044]) ).
fof(f2046,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( sQ127_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f24,f850]) ).
fof(f2048,plain,
( sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2047]) ).
fof(f2049,plain,
sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2048]) ).
fof(f2050,plain,
( sQ139_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f22,f900]) ).
fof(f2051,plain,
( sQ139_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2050]) ).
fof(f2052,plain,
sQ139_spl,
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2053,plain,
( sQ143_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f21,f917]) ).
fof(f2054,plain,
( sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2053]) ).
fof(f2055,plain,
sQ143_spl,
inference(contradiction_clause,[status(thm)],[f2054]) ).
fof(f2056,plain,
( sQ148_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f20,f938]) ).
fof(f2057,plain,
( sQ148_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2056]) ).
fof(f2058,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f2057]) ).
fof(f2059,plain,
( sQ154_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f19,f963]) ).
fof(f2060,plain,
( sQ154_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2059]) ).
fof(f2061,plain,
sQ154_spl,
inference(contradiction_clause,[status(thm)],[f2060]) ).
fof(f2062,plain,
( sQ162_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f17,f997]) ).
fof(f2063,plain,
( sQ162_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2062]) ).
fof(f2064,plain,
sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2065,plain,
( sQ169_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f16,f1026]) ).
fof(f2066,plain,
( sQ169_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2065]) ).
fof(f2067,plain,
sQ169_spl,
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2068,plain,
( sQ173_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f15,f1043]) ).
fof(f2069,plain,
( sQ173_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2068]) ).
fof(f2070,plain,
sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2069]) ).
fof(f2071,plain,
( sQ177_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f14,f1060]) ).
fof(f2072,plain,
( sQ177_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2071]) ).
fof(f2073,plain,
sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2074,plain,
$false,
inference(sat_refutation,[status(thm)],[f352,f367,f384,f401,f446,f691,f788,f813,f838,f851,f868,f901,f918,f939,f964,f973,f998,f1027,f1044,f1061,f1078,f1096,f1105,f1114,f1120,f1127,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1168,f1174,f1180,f1186,f1192,f1198,f1204,f1210,f1216,f1222,f1228,f1234,f1240,f1246,f1252,f1258,f1264,f1270,f1276,f1282,f1288,f1294,f1300,f1306,f1312,f1318,f1324,f1330,f1336,f1342,f1348,f1354,f1360,f1366,f1372,f1378,f1384,f1390,f1396,f1402,f1408,f1414,f1420,f1426,f1432,f1438,f1444,f1450,f1456,f1462,f1468,f1474,f1480,f1486,f1492,f1498,f1504,f1510,f1516,f1522,f1528,f1534,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1818,f1824,f1836,f1839,f1842,f1847,f1986,f2034,f2037,f2040,f2043,f2046,f2049,f2052,f2055,f2058,f2061,f2064,f2067,f2070,f2073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG021+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:58:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46 % Elapsed time: 0.081534 seconds
% 0.10/0.46 % CPU time: 0.237100 seconds
% 0.10/0.46 % Total memory used: 59.840 MB
% 0.10/0.46 % Net memory used: 59.730 MB
%------------------------------------------------------------------------------