%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG152+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:39 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.84s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 215
% Syntax : Number of formulae : 1508 ( 55 unt; 194 def)
% Number of atoms : 6061 (3251 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 8181 (3628 ~;3251 |;1074 &)
% ( 228 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 196 ( 194 usr; 195 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e3,e2) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e3,e1) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3)))
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(e0,op(e0,op(e0,e0)))
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(e1,op(e1,op(e1,e1)))
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(e0,op(e0,op(e0,e0)))
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,op(e1,e1)))
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e3,e2) = e3 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e3,e1) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f146,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f148,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f150,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f155,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f156,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f163,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f164,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e2 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f166,plain,
( e2 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f170,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f172,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f175,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f176,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e1 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f178,plain,
( e1 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f182,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f184,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f186,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f192,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,definition,
( sP2_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e3,e1) = e3 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f194,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e3,e2) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f193]) ).
fof(f195,definition,
( sP3_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f196,definition,
( sP4_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f197,plain,
( sP0_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e3,e2) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f194,f196,f195]) ).
fof(f198,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP4_prd
| ~ sP3_prd
| op(e3,e2) != e3 )
& ~ sP2_prd )
| sP0_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP4_prd
& sP3_prd
& op(e3,e2) = e3 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e3,e2) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( sP3_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f201,plain,
( sP4_prd
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f202,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f203,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f204,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f209,definition,
( sP5_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f210,plain,
( sP1_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f209]) ).
fof(f211,definition,
( sP6_prd
<=> ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f212,definition,
( sP7_prd
<=> ( op(e1,e2) = e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f213,plain,
( sP1_prd
<=> ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f212,f211]) ).
fof(f214,plain,
( ( ( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP7_prd
| ~ sP6_prd
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP1_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP7_prd
& sP6_prd
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( sP6_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
( sP7_prd
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f219,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f220,plain,
( ~ sP5_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f225,definition,
( sP8_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e3,e0) = e3 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f226,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e3,e1) = e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f193,f225]) ).
fof(f227,definition,
( sP9_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f228,definition,
( sP10_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f229,plain,
( sP2_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e3,e1) = e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f226,f228,f227]) ).
fof(f230,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP10_prd
| ~ sP9_prd
| op(e3,e1) != e3 )
& ~ sP8_prd )
| sP2_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP10_prd
& sP9_prd
& op(e3,e1) = e3 )
| sP8_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( op(e3,e1) = e3
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( sP9_prd
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f233,plain,
( sP10_prd
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f234,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1
| sP8_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f236,plain,
( ~ sP8_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f241,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP3_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f195]) ).
fof(f243,plain,
( op(e0,e0) = e2
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op(e0,e2) = e0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP4_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f246,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
( op(e1,e1) = e2
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f248,plain,
( op(e1,e2) = e1
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f249,definition,
( sP11_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f250,plain,
( sP5_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f249]) ).
fof(f251,definition,
( sP12_prd
<=> ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f252,definition,
( sP13_prd
<=> ( op(e1,e1) = e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f253,plain,
( sP5_prd
<=> ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e1) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f252,f251]) ).
fof(f254,plain,
( ( ( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP13_prd
| ~ sP12_prd
| op(e1,e1) != e1 )
& ~ sP11_prd )
| sP5_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP13_prd
& sP12_prd
& op(e1,e1) = e1 )
| sP11_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( op(e1,e1) = e1
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
( sP12_prd
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f258,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f259,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| sP11_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f260,plain,
( ~ sP11_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f265,plain,
( ( ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP6_prd )
& ( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f211]) ).
fof(f266,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( op(e0,e0) = e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f268,plain,
( op(e0,e2) != e0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f269,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP7_prd )
& ( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f270,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
( op(e1,e1) = e2
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f272,plain,
( op(e1,e2) != e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f273,definition,
( sP14_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f274,plain,
( sP8_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e3,e0) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f225,f273]) ).
fof(f275,definition,
( sP15_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f276,definition,
( sP16_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f277,plain,
( sP8_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP16_prd
& sP15_prd
& op(e3,e0) = e3 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f274,f276,f275]) ).
fof(f278,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP16_prd
| ~ sP15_prd
| op(e3,e0) != e3 )
& ~ sP14_prd )
| sP8_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP16_prd
& sP15_prd
& op(e3,e0) = e3 )
| sP14_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
( op(e3,e0) = e3
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f280,plain,
( sP15_prd
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f281,plain,
( sP16_prd
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f282,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f283,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0
| sP14_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f284,plain,
( ~ sP14_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f289,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP9_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f227]) ).
fof(f290,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( op(e0,e0) = e1
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f292,plain,
( op(e0,e1) = e0
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f294,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e1,e1) = e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,definition,
( sP17_prd
<=> ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f298,definition,
( sP18_prd
<=> ( op(e1,e0) = e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f299,plain,
( sP11_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP18_prd
& sP17_prd
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f249,f298,f297]) ).
fof(f300,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP18_prd
| ~ sP17_prd
| op(e0,e0) != e0
| sP11_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP18_prd
& sP17_prd
& op(e0,e0) = e0 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( op(e0,e0) = e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f303,plain,
( sP18_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f304,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f305,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f306,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP18_prd
| ~ sP17_prd
| op(e0,e0) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f310,plain,
( ( ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP12_prd )
& ( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f311,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f312,plain,
( op(e0,e0) = e1
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f313,plain,
( op(e0,e1) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f314,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP13_prd )
& ( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f252]) ).
fof(f316,plain,
( op(e1,e1) = e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f317,plain,
( op(e1,e1) != e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f318,definition,
( sP19_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f319,plain,
( sP14_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e2,e3) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f273,f318]) ).
fof(f320,definition,
( sP20_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f321,definition,
( sP21_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f322,plain,
( sP14_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP21_prd
& sP20_prd
& op(e2,e3) = e2 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f319,f321,f320]) ).
fof(f323,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e3) != e2 )
& ~ sP19_prd )
| sP14_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP21_prd
& sP20_prd
& op(e2,e3) = e2 )
| sP19_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
( op(e2,e3) = e2
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( sP20_prd
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f326,plain,
( sP21_prd
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f327,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f328,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP19_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f329,plain,
( ~ sP19_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f330,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| ~ sP21_prd
| ~ sP20_prd
| op(e2,e3) != e2
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f334,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP15_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f335,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op(e0,e0) = e0
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f338,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP16_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f276]) ).
fof(f339,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
( op(e1,e1) = e0
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f341,plain,
( op(e1,e0) = e1
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f342,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP17_prd )
& ( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f344,plain,
( op(e0,e0) = e0
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f345,plain,
( op(e0,e0) != e0
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f346,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP18_prd )
& ( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f347,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e1,e1) = e0
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( op(e1,e0) != e1
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,definition,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f351,plain,
( sP19_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e2,e2) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f318,f350]) ).
fof(f352,definition,
( sP23_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f353,definition,
( sP24_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f354,plain,
( sP19_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP24_prd
& sP23_prd
& op(e2,e2) = e2 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f351,f353,f352]) ).
fof(f355,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP24_prd
| ~ sP23_prd
| op(e2,e2) != e2 )
& ~ sP22_prd )
| sP19_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP24_prd
& sP23_prd
& op(e2,e2) = e2 )
| sP22_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e2,e2) = e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f359,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f360,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP22_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f361,plain,
( ~ sP22_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f366,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP20_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f320]) ).
fof(f367,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f368,plain,
( op(e0,e0) = e3
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f369,plain,
( op(e0,e3) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f370,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP21_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f321]) ).
fof(f371,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op(e1,e1) = e3
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f373,plain,
( op(e1,e3) = e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f374,definition,
( sP25_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f375,plain,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e2,e1) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f350,f374]) ).
fof(f376,definition,
( sP26_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f377,definition,
( sP27_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f378,plain,
( sP22_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e2,e1) = e2 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f375,f377,f376]) ).
fof(f379,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP27_prd
| ~ sP26_prd
| op(e2,e1) != e2 )
& ~ sP25_prd )
| sP22_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP27_prd
& sP26_prd
& op(e2,e1) = e2 )
| sP25_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f378]) ).
fof(f380,plain,
( op(e2,e1) = e2
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
( sP26_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f382,plain,
( sP27_prd
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f383,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1
| sP25_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f385,plain,
( ~ sP25_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f390,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP23_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f352]) ).
fof(f392,plain,
( op(e0,e0) = e2
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f393,plain,
( op(e0,e2) = e0
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f394,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP24_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f353]) ).
fof(f395,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
( op(e1,e1) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f397,plain,
( op(e1,e2) = e1
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f398,definition,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f399,plain,
( sP25_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e2,e0) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f374,f398]) ).
fof(f400,definition,
( sP29_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f401,definition,
( sP30_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f402,plain,
( sP25_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP30_prd
& sP29_prd
& op(e2,e0) = e2 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f399,f401,f400]) ).
fof(f403,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP30_prd
| ~ sP29_prd
| op(e2,e0) != e2 )
& ~ sP28_prd )
| sP25_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP30_prd
& sP29_prd
& op(e2,e0) = e2 )
| sP28_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
( op(e2,e0) = e2
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
( sP29_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f406,plain,
( sP30_prd
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f407,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f409,plain,
( ~ sP28_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f414,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP26_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f376]) ).
fof(f415,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f416,plain,
( op(e0,e0) = e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f417,plain,
( op(e0,e1) = e0
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f418,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP27_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f377]) ).
fof(f419,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op(e1,e1) = e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f422,definition,
( sP31_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f423,plain,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f398,f422]) ).
fof(f424,definition,
( sP32_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f425,definition,
( sP33_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f426,plain,
( sP28_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP33_prd
& sP32_prd
& op(e1,e3) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f423,f425,f424]) ).
fof(f427,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP33_prd
| ~ sP32_prd
| op(e1,e3) != e1 )
& ~ sP31_prd )
| sP28_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP33_prd
& sP32_prd
& op(e1,e3) = e1 )
| sP31_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f428,plain,
( op(e1,e3) = e1
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( sP32_prd
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f430,plain,
( sP33_prd
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f431,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f432,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP31_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f433,plain,
( ~ sP31_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f436,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| ~ sP33_prd
| ~ sP32_prd
| op(e1,e3) != e1
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f438,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP29_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f439,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f440,plain,
( op(e0,e0) = e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f442,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP30_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f401]) ).
fof(f443,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f444,plain,
( op(e1,e1) = e0
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f445,plain,
( op(e1,e0) = e1
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f446,definition,
( sP34_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f447,plain,
( sP31_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e1,e2) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f422,f446]) ).
fof(f448,definition,
( sP35_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f449,definition,
( sP36_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f450,plain,
( sP31_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP36_prd
& sP35_prd
& op(e1,e2) = e1 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f447,f449,f448]) ).
fof(f451,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP36_prd
| ~ sP35_prd
| op(e1,e2) != e1 )
& ~ sP34_prd )
| sP31_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP36_prd
& sP35_prd
& op(e1,e2) = e1 )
| sP34_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f450]) ).
fof(f452,plain,
( op(e1,e2) = e1
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f454,plain,
( sP36_prd
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f455,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f456,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2
| sP34_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f457,plain,
( ~ sP34_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f458,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP36_prd
| ~ sP35_prd
| op(e1,e2) != e1
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f462,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP32_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f424]) ).
fof(f463,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f464,plain,
( op(e0,e0) = e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f465,plain,
( op(e0,e3) = e0
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f466,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP33_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f467,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f468,plain,
( op(e1,e1) = e3
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f469,plain,
( op(e1,e3) = e1
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f470,definition,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f471,plain,
( sP34_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e1,e1) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f446,f470]) ).
fof(f472,definition,
( sP38_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f473,definition,
( sP39_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f474,plain,
( sP34_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP39_prd
& sP38_prd
& op(e1,e1) = e1 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f471,f473,f472]) ).
fof(f475,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP39_prd
| ~ sP38_prd
| op(e1,e1) != e1 )
& ~ sP37_prd )
| sP34_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP39_prd
& sP38_prd
& op(e1,e1) = e1 )
| sP37_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f474]) ).
fof(f476,plain,
( op(e1,e1) = e1
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f478,plain,
( sP39_prd
| sP37_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f481,plain,
( ~ sP37_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f486,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP35_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f448]) ).
fof(f488,plain,
( op(e0,e0) = e2
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f489,plain,
( op(e0,e2) = e0
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f490,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP36_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f491,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f492,plain,
( op(e1,e1) = e2
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f493,plain,
( op(e1,e2) = e1
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f490]) ).
fof(f494,definition,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f495,plain,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e1,e0) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f470,f494]) ).
fof(f496,definition,
( sP41_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f497,definition,
( sP42_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f498,plain,
( sP37_prd
<=> ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e1,e0) = e1 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f495,f497,f496]) ).
fof(f499,plain,
( ( ( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP42_prd
| ~ sP41_prd
| op(e1,e0) != e1 )
& ~ sP40_prd )
| sP37_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP42_prd
& sP41_prd
& op(e1,e0) = e1 )
| sP40_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f498]) ).
fof(f500,plain,
( op(e1,e0) = e1
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( sP41_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f502,plain,
( sP42_prd
| sP40_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f505,plain,
( ~ sP40_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f506,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| ~ sP42_prd
| ~ sP41_prd
| op(e1,e0) != e1
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f510,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP38_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f472]) ).
fof(f512,plain,
( op(e0,e0) = e1
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f513,plain,
( op(e0,e1) = e0
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f514,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP39_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f473]) ).
fof(f515,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f516,plain,
( op(e1,e1) = e1
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f518,definition,
( sP43_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f519,plain,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& op(e0,e3) = e0 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f494,f518]) ).
fof(f520,definition,
( sP44_prd
<=> ( op(e0,e3) != e0
| op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f521,definition,
( sP45_prd
<=> ( op(e1,e3) != e1
| op(e1,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f522,plain,
( sP40_prd
<=> ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP45_prd
& sP44_prd
& op(e0,e3) = e0 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f519,f521,f520]) ).
fof(f523,plain,
( ( ( ( ( op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3 )
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e3) != e0 )
& ~ sP43_prd )
| sP40_prd )
& ( ( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& sP45_prd
& sP44_prd
& op(e0,e3) = e0 )
| sP43_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f522]) ).
fof(f524,plain,
( op(e0,e3) = e0
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( sP44_prd
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f526,plain,
( sP45_prd
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f527,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f528,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3
| sP43_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f529,plain,
( ~ sP43_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f530,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e3) != e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f532,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| ~ sP45_prd
| ~ sP44_prd
| op(e0,e3) != e0
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f534,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP41_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f535,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f536,plain,
( op(e0,e0) = e0
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f538,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP42_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f497]) ).
fof(f539,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f540,plain,
( op(e1,e1) = e0
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f541,plain,
( op(e1,e0) = e1
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f542,definition,
( sP46_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f543,plain,
( sP43_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& op(e0,e2) = e0 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f518,f542]) ).
fof(f544,definition,
( sP47_prd
<=> ( op(e0,e2) != e0
| op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f545,definition,
( sP48_prd
<=> ( op(e1,e2) != e1
| op(e1,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f546,plain,
( sP43_prd
<=> ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP48_prd
& sP47_prd
& op(e0,e2) = e0 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f543,f545,f544]) ).
fof(f547,plain,
( ( ( ( ( op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2 )
| ~ sP48_prd
| ~ sP47_prd
| op(e0,e2) != e0 )
& ~ sP46_prd )
| sP43_prd )
& ( ( ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& sP48_prd
& sP47_prd
& op(e0,e2) = e0 )
| sP46_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f546]) ).
fof(f548,plain,
( op(e0,e2) = e0
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f549,plain,
( sP47_prd
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f550,plain,
( sP48_prd
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f551,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2
| sP46_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f553,plain,
( ~ sP46_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f554,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| ~ sP48_prd
| ~ sP47_prd
| op(e0,e2) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f555,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| ~ sP48_prd
| ~ sP47_prd
| op(e0,e2) != e0
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f558,plain,
( ( ( op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP44_prd )
& ( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f520]) ).
fof(f559,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f560,plain,
( op(e0,e0) = e3
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f561,plain,
( op(e0,e3) = e0
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f562,plain,
( ( ( op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP45_prd )
& ( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f563,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f564,plain,
( op(e1,e1) = e3
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f565,plain,
( op(e1,e3) = e1
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f566,definition,
( sP49_prd
<=> ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f567,plain,
( sP46_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& op(e0,e1) = e0 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f542,f566]) ).
fof(f568,definition,
( sP50_prd
<=> ( op(e0,e1) != e0
| op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f569,definition,
( sP51_prd
<=> ( op(e1,e1) != e1
| op(e1,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f570,plain,
( sP46_prd
<=> ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP51_prd
& sP50_prd
& op(e0,e1) = e0 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f567,f569,f568]) ).
fof(f571,plain,
( ( ( ( ( op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1 )
| ~ sP51_prd
| ~ sP50_prd
| op(e0,e1) != e0 )
& ~ sP49_prd )
| sP46_prd )
& ( ( ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& sP51_prd
& sP50_prd
& op(e0,e1) = e0 )
| sP49_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f570]) ).
fof(f572,plain,
( op(e0,e1) = e0
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f573,plain,
( sP50_prd
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f574,plain,
( sP51_prd
| sP49_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f577,plain,
( ~ sP49_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f579,plain,
( op(e3,e1) = e3
| op(e2,e2) = e1
| ~ sP51_prd
| ~ sP50_prd
| op(e0,e1) != e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f580,plain,
( op(e3,e3) = e1
| op(e2,e1) = e2
| ~ sP51_prd
| ~ sP50_prd
| op(e0,e1) != e0
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f582,plain,
( ( ( op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP47_prd )
& ( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f544]) ).
fof(f583,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f584,plain,
( op(e0,e0) = e2
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f585,plain,
( op(e0,e2) = e0
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f582]) ).
fof(f586,plain,
( ( ( op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP48_prd )
& ( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f545]) ).
fof(f587,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f588,plain,
( op(e1,e1) = e2
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f589,plain,
( op(e1,e2) = e1
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f590,definition,
( sP52_prd
<=> ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f591,definition,
( sP53_prd
<=> ( op(e1,e0) != e1
| op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f592,plain,
( sP49_prd
<=> ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f566,f591,f590]) ).
fof(f593,plain,
( ( ( op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0 )
| ~ sP53_prd
| ~ sP52_prd
| op(e0,e0) != e0
| sP49_prd )
& ( ( ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& sP53_prd
& sP52_prd
& op(e0,e0) = e0 )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f592]) ).
fof(f594,plain,
( op(e0,e0) = e0
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
( sP52_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f596,plain,
( sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f603,plain,
( ( ( op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP50_prd )
& ( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f568]) ).
fof(f604,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f605,plain,
( op(e0,e0) = e1
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f606,plain,
( op(e0,e1) = e0
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f607,plain,
( ( ( op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP51_prd )
& ( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f569]) ).
fof(f608,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
( op(e1,e1) = e1
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f611,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0 )
| sP52_prd )
& ( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f590]) ).
fof(f612,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
( op(e0,e0) = e0
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f615,plain,
( ( ( op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP53_prd )
& ( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f591]) ).
fof(f616,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f617,plain,
( op(e1,e1) = e0
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f618,plain,
( op(e1,e0) = e1
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f619,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f619,f622,f625,f628]) ).
fof(f632,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f632,f635,f638,f641]) ).
fof(f645,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f645,f648,f651,f654]) ).
fof(f658,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f658,f661,f664,f667]) ).
fof(f671,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f671,f674,f677,f680]) ).
fof(f684,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f684,f687,f690,f693]) ).
fof(f697,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f697,f700,f703,f706]) ).
fof(f710,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f716,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f710,f713,f716,f719]) ).
fof(f723,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f723,f726,f729,f732]) ).
fof(f736,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f736,f739,f742,f745]) ).
fof(f749,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f749,f752,f755,f758]) ).
fof(f762,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f762,f765,f768,f771]) ).
fof(f775,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f775,f778,f781,f784]) ).
fof(f788,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f788,f791,f794,f797]) ).
fof(f801,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f801,f804,f807,f810]) ).
fof(f814,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f814,f817,f820,f823]) ).
fof(f827,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f619,f632,f645,f658]) ).
fof(f828,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f619,f671,f723,f775]) ).
fof(f830,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f622,f674,f726,f778]) ).
fof(f831,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f625,f638,f651,f664]) ).
fof(f832,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f625,f677,f729,f781]) ).
fof(f833,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f628,f641,f654,f667]) ).
fof(f834,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f628,f680,f732,f784]) ).
fof(f835,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f671,f684,f697,f710]) ).
fof(f836,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f632,f684,f736,f788]) ).
fof(f837,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f674,f687,f700,f713]) ).
fof(f838,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f635,f687,f739,f791]) ).
fof(f839,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f677,f690,f703,f716]) ).
fof(f840,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f638,f690,f742,f794]) ).
fof(f841,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f680,f693,f706,f719]) ).
fof(f842,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f641,f693,f745,f797]) ).
fof(f843,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f723,f736,f749,f762]) ).
fof(f844,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f645,f697,f749,f801]) ).
fof(f845,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f726,f739,f752,f765]) ).
fof(f846,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f648,f700,f752,f804]) ).
fof(f847,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f729,f742,f755,f768]) ).
fof(f848,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f651,f703,f755,f807]) ).
fof(f849,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f732,f745,f758,f771]) ).
fof(f850,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f654,f706,f758,f810]) ).
fof(f851,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f775,f788,f801,f814]) ).
fof(f852,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f658,f710,f762,f814]) ).
fof(f853,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f778,f791,f804,f817]) ).
fof(f854,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f661,f713,f765,f817]) ).
fof(f855,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f781,f794,f807,f820]) ).
fof(f856,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f664,f716,f768,f820]) ).
fof(f857,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f784,f797,f810,f823]) ).
fof(f858,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f667,f719,f771,f823]) ).
fof(f859,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f859,f823]) ).
fof(f863,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f859,f628,f658]) ).
fof(f864,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f859,f693,f713]) ).
fof(f866,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f139,f859,f823]) ).
fof(f867,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f867,f823]) ).
fof(f871,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f141,f867,f628,f658]) ).
fof(f872,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f867,f693,f713]) ).
fof(f873,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f867,f758,f768]) ).
fof(f875,definition,
( sQ66_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( sQ66_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,definition,
( sQ67_spl
<=> e1 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( sQ67_spl
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( ~ sQ43_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f146,f875,f878,f758]) ).
fof(f882,definition,
( sQ68_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( sQ68_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ69_spl
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( sQ69_spl
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f148,f882,f885,f820]) ).
fof(f889,definition,
( sQ70_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( sQ70_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
( sQ71_spl
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( sQ71_spl
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f150,f889,f892,f693]) ).
fof(f896,definition,
( sQ72_spl
<=> e2 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( sQ72_spl
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f900,definition,
( sQ73_spl
<=> e3 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( sQ73_spl
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f904,definition,
( sQ74_spl
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ74_spl
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ41_spl
| ~ sQ74_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f156,f875,f904,f752]) ).
fof(f911,definition,
( sQ76_spl
<=> e0 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( sQ76_spl
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f915,definition,
( sQ77_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ77_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ78_spl
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( sQ78_spl
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f922,definition,
( sQ79_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( sQ79_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f929,plain,
( ~ sQ60_spl
| ~ sQ72_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f164,f915,f896,f814]) ).
fof(f930,definition,
( sQ81_spl
<=> e3 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ2_spl
| ~ sQ81_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f166,f922,f930,f625]) ).
fof(f935,definition,
( sQ82_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ82_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( sQ82_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ83_spl
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( sQ83_spl
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( ~ sQ23_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f170,f935,f938,f693]) ).
fof(f942,definition,
( sQ84_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ84_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( ~ sQ61_spl
| ~ sQ78_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f172,f942,f918,f817]) ).
fof(f946,definition,
( sQ85_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ85_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,definition,
( sQ86_spl
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( sQ86_spl
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f953,plain,
( ~ sQ60_spl
| ~ sQ69_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f176,f942,f885,f814]) ).
fof(f954,plain,
( ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f178,f946,f930,f622]) ).
fof(f955,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f180,f935,f900,f684]) ).
fof(f956,definition,
( sQ87_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( sQ87_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f182,f956,f938,f690]) ).
fof(f960,definition,
( sQ88_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ88_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f184,f960,f911,f752]) ).
fof(f964,definition,
( sQ89_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ89_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,plain,
( ~ sQ2_spl
| ~ sQ86_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f186,f964,f949,f625]) ).
fof(f968,plain,
( ~ sQ40_spl
| ~ sQ67_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f188,f960,f878,f749]) ).
fof(f970,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f192,f956,f892,f684]) ).
fof(f971,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ59_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f859,f971,f810]) ).
fof(f975,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( sQ91_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f859,f971,f975]) ).
fof(f979,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( sQ92_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f201,f859,f971,f979]) ).
fof(f983,plain,
( ~ sQ42_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f202,f859,f971,f755]) ).
fof(f984,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f203,f859,f971,f820,f810]) ).
fof(f985,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f204,f859,f971]) ).
fof(f990,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( sQ42_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f215,f867,f990,f755]) ).
fof(f994,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( sQ94_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f216,f867,f990,f994]) ).
fof(f998,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ95_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f217,f867,f990,f998]) ).
fof(f1003,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f219,f867,f990,f820,f810]) ).
fof(f1004,plain,
( ~ sQ93_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f220,f867,f990]) ).
fof(f1009,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( sQ55_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f231,f971,f1009,f797]) ).
fof(f1013,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( sQ97_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f232,f971,f1009,f1013]) ).
fof(f1017,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( sQ98_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f233,f971,f1009,f1017]) ).
fof(f1021,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f234,f971,f1009,f752,f742]) ).
fof(f1022,plain,
( ~ sQ55_spl
| ~ sQ61_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f235,f971,f1009,f817,f797]) ).
fof(f1023,plain,
( ~ sQ96_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f236,f971,f1009]) ).
fof(f1029,plain,
( sQ2_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f243,f975,f625]) ).
fof(f1030,plain,
( sQ8_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f244,f975,f645]) ).
fof(f1031,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f246,f979,f690,f700]) ).
fof(f1032,plain,
( sQ22_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f247,f979,f690]) ).
fof(f1033,plain,
( sQ25_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f248,f979,f700]) ).
fof(f1034,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( sQ21_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f255,f990,f1034,f687]) ).
fof(f1038,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ100_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f256,f990,f1034,f1038]) ).
fof(f1042,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f258,f990,f1034,f752,f742]) ).
fof(f1047,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ99_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f259,f990,f1034,f817,f797]) ).
fof(f1048,plain,
( ~ sQ99_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f260,f990,f1034]) ).
fof(f1053,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f266,f994,f625,f645]) ).
fof(f1054,plain,
( sQ2_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f267,f994,f625]) ).
fof(f1055,plain,
( ~ sQ8_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f268,f994,f645]) ).
fof(f1056,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f270,f998,f690,f700]) ).
fof(f1057,plain,
( sQ22_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f271,f998,f690]) ).
fof(f1058,plain,
( ~ sQ25_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f272,f998,f700]) ).
fof(f1059,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( sQ51_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f279,f1009,f1059,f784]) ).
fof(f1063,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( sQ103_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f280,f1009,f1059,f1063]) ).
fof(f1067,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( sQ104_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f281,f1009,f1059,f1067]) ).
fof(f1071,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f282,f1009,f1059,f749,f729]) ).
fof(f1072,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| sQ102_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f283,f1009,f1059,f814,f784]) ).
fof(f1073,plain,
( ~ sQ102_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f284,f1009,f1059]) ).
fof(f1078,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f290,f1013,f622,f632]) ).
fof(f1079,plain,
( sQ1_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f291,f1013,f622]) ).
fof(f1080,plain,
( sQ4_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f292,f1013,f632]) ).
fof(f1081,plain,
( ~ sQ21_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f294,f1017,f687]) ).
fof(f1082,plain,
( sQ21_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f295,f1017,f687]) ).
fof(f1084,plain,
( sQ0_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f301,f1034,f619]) ).
fof(f1085,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1089,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( sQ106_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f303,f1034,f1089]) ).
fof(f1093,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f304,f1034,f749,f729]) ).
fof(f1094,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f305,f1034,f814,f784]) ).
fof(f1095,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ106_spl
| ~ sQ105_spl
| ~ sQ0_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f306,f1034,f619,f1085,f1089,f749,f814]) ).
fof(f1099,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f311,f1038,f622,f632]) ).
fof(f1100,plain,
( sQ1_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f312,f1038,f622]) ).
fof(f1101,plain,
( ~ sQ4_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f313,f1038,f632]) ).
fof(f1103,plain,
( sQ21_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f316,f1042,f687]) ).
fof(f1104,plain,
( ~ sQ21_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f317,f1042,f687]) ).
fof(f1105,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( sQ46_spl
| sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f324,f1059,f1105,f768]) ).
fof(f1109,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ108_spl
| sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f325,f1059,f1105,f1109]) ).
fof(f1113,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( sQ109_spl
| sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f326,f1059,f1105,f1113]) ).
fof(f1117,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f327,f1059,f1105,f758,f768]) ).
fof(f1118,plain,
( ~ sQ63_spl
| sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f328,f1059,f1105,f823]) ).
fof(f1119,plain,
( ~ sQ107_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f329,f1059,f1105]) ).
fof(f1120,plain,
( sQ63_spl
| sQ43_spl
| ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ46_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f330,f1059,f768,f1109,f1113,f758,f823]) ).
fof(f1124,plain,
( ~ sQ0_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f335,f1063,f619]) ).
fof(f1125,plain,
( sQ0_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f336,f1063,f619]) ).
fof(f1127,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f339,f1067,f684,f674]) ).
fof(f1128,plain,
( sQ20_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f340,f1067,f684]) ).
fof(f1129,plain,
( sQ17_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f341,f1067,f674]) ).
fof(f1131,plain,
( sQ0_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f344,f1085,f619]) ).
fof(f1132,plain,
( ~ sQ0_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f345,f1085,f619]) ).
fof(f1133,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f347,f1089,f684,f674]) ).
fof(f1134,plain,
( sQ20_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f348,f1089,f684]) ).
fof(f1135,plain,
( ~ sQ17_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f349,f1089,f674]) ).
fof(f1136,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( sQ42_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f356,f1105,f1136,f755]) ).
fof(f1140,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1144,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ42_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f359,f1105,f1136,f755]) ).
fof(f1149,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f360,f1105,f1136,f820,f810]) ).
fof(f1150,plain,
( ~ sQ110_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f361,f1105,f1136]) ).
fof(f1155,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f367,f1109,f628,f658]) ).
fof(f1156,plain,
( sQ3_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f368,f1109,f628]) ).
fof(f1157,plain,
( sQ12_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f369,f1109,f658]) ).
fof(f1158,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f371,f1113,f693,f713]) ).
fof(f1159,plain,
( sQ23_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f372,f1113,f693]) ).
fof(f1160,plain,
( sQ29_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f373,f1113,f713]) ).
fof(f1161,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( sQ38_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f380,f1136,f1161,f742]) ).
fof(f1165,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( sQ114_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f381,f1136,f1161,f1165]) ).
fof(f1169,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( sQ115_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f382,f1136,f1161,f1169]) ).
fof(f1173,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| sQ113_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f383,f1136,f1161,f752,f742]) ).
fof(f1175,plain,
( ~ sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f385,f1136,f1161]) ).
fof(f1181,plain,
( sQ2_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f392,f1140,f625]) ).
fof(f1182,plain,
( sQ8_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f393,f1140,f645]) ).
fof(f1183,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f395,f1144,f690,f700]) ).
fof(f1184,plain,
( sQ22_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f396,f1144,f690]) ).
fof(f1185,plain,
( sQ25_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f397,f1144,f700]) ).
fof(f1186,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ34_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f404,f1161,f1186,f729]) ).
fof(f1190,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( sQ117_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f405,f1161,f1186,f1190]) ).
fof(f1194,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( sQ118_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f406,f1161,f1186,f1194]) ).
fof(f1198,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f407,f1161,f1186,f749,f729]) ).
fof(f1200,plain,
( ~ sQ116_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f409,f1161,f1186]) ).
fof(f1205,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f415,f1165,f622,f632]) ).
fof(f1206,plain,
( sQ1_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f416,f1165,f622]) ).
fof(f1207,plain,
( sQ4_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f417,f1165,f632]) ).
fof(f1208,plain,
( ~ sQ21_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f419,f1169,f687]) ).
fof(f1209,plain,
( sQ21_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f420,f1169,f687]) ).
fof(f1211,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( sQ29_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f428,f1186,f1211,f713]) ).
fof(f1215,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( sQ120_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f429,f1186,f1211,f1215]) ).
fof(f1219,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( sQ121_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f430,f1186,f1211,f1219]) ).
fof(f1223,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f431,f1186,f1211,f758,f768]) ).
fof(f1224,plain,
( ~ sQ63_spl
| sQ119_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f432,f1186,f1211,f823]) ).
fof(f1225,plain,
( ~ sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f433,f1186,f1211]) ).
fof(f1228,plain,
( sQ63_spl
| sQ46_spl
| ~ sQ121_spl
| ~ sQ120_spl
| ~ sQ29_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f436,f1186,f713,f1215,f1219,f768,f823]) ).
fof(f1230,plain,
( ~ sQ0_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f439,f1190,f619]) ).
fof(f1231,plain,
( sQ0_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f440,f1190,f619]) ).
fof(f1233,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f443,f1194,f684,f674]) ).
fof(f1234,plain,
( sQ20_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f444,f1194,f684]) ).
fof(f1235,plain,
( sQ17_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f445,f1194,f674]) ).
fof(f1236,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
( sQ25_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f452,f1211,f1236,f700]) ).
fof(f1240,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1244,definition,
( sQ124_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ124_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f454,f1211,f1236,f1244]) ).
fof(f1248,plain,
( ~ sQ42_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f455,f1211,f1236,f755]) ).
fof(f1249,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ122_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f456,f1211,f1236,f820,f810]) ).
fof(f1250,plain,
( ~ sQ122_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f457,f1211,f1236]) ).
fof(f1251,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ124_spl
| ~ sQ123_spl
| ~ sQ25_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f458,f1211,f700,f1240,f1244,f755,f820]) ).
fof(f1255,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f463,f1215,f628,f658]) ).
fof(f1256,plain,
( sQ3_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f464,f1215,f628]) ).
fof(f1257,plain,
( sQ12_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f465,f1215,f658]) ).
fof(f1258,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f467,f1219,f693,f713]) ).
fof(f1259,plain,
( sQ23_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f468,f1219,f693]) ).
fof(f1260,plain,
( sQ29_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f469,f1219,f713]) ).
fof(f1261,definition,
( sQ125_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( sQ21_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f476,f1236,f1261,f687]) ).
fof(f1265,definition,
( sQ126_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1269,definition,
( sQ127_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( sQ127_spl
| sQ125_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f478,f1236,f1261,f1269]) ).
fof(f1275,plain,
( ~ sQ125_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f481,f1236,f1261]) ).
fof(f1281,plain,
( sQ2_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f488,f1240,f625]) ).
fof(f1282,plain,
( sQ8_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f489,f1240,f645]) ).
fof(f1283,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f491,f1244,f690,f700]) ).
fof(f1284,plain,
( sQ22_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f492,f1244,f690]) ).
fof(f1285,plain,
( sQ25_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f493,f1244,f700]) ).
fof(f1286,definition,
( sQ128_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( sQ17_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f500,f1261,f1286,f674]) ).
fof(f1290,definition,
( sQ129_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( sQ129_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f501,f1261,f1286,f1290]) ).
fof(f1294,definition,
( sQ130_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( sQ130_spl
| sQ128_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f502,f1261,f1286,f1294]) ).
fof(f1300,plain,
( ~ sQ128_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f505,f1261,f1286]) ).
fof(f1301,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ130_spl
| ~ sQ129_spl
| ~ sQ17_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f506,f1261,f674,f1290,f1294,f749,f814]) ).
fof(f1306,plain,
( sQ1_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f512,f1265,f622]) ).
fof(f1307,plain,
( sQ4_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f513,f1265,f632]) ).
fof(f1308,plain,
( ~ sQ21_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f515,f1269,f687]) ).
fof(f1309,plain,
( sQ21_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f516,f1269,f687]) ).
fof(f1311,definition,
( sQ131_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( sQ12_spl
| sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f524,f1286,f1311,f658]) ).
fof(f1315,definition,
( sQ132_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
( sQ132_spl
| sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f525,f1286,f1311,f1315]) ).
fof(f1319,definition,
( sQ133_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ133_spl
| sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f526,f1286,f1311,f1319]) ).
fof(f1323,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f527,f1286,f1311,f758,f768]) ).
fof(f1324,plain,
( ~ sQ63_spl
| sQ131_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f528,f1286,f1311,f823]) ).
fof(f1325,plain,
( ~ sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f529,f1286,f1311]) ).
fof(f1326,plain,
( sQ63_spl
| sQ43_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ12_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f530,f1286,f658,f1315,f1319,f758,f823]) ).
fof(f1328,plain,
( sQ63_spl
| sQ46_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ12_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f532,f1286,f658,f1315,f1319,f768,f823]) ).
fof(f1330,plain,
( ~ sQ0_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f535,f1290,f619]) ).
fof(f1331,plain,
( sQ0_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f536,f1290,f619]) ).
fof(f1333,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f539,f1294,f684,f674]) ).
fof(f1334,plain,
( sQ20_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f540,f1294,f684]) ).
fof(f1335,plain,
( sQ17_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f541,f1294,f674]) ).
fof(f1336,definition,
( sQ134_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( sQ8_spl
| sQ134_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f548,f1311,f1336,f645]) ).
fof(f1340,definition,
( sQ135_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ135_spl
| sQ134_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f549,f1311,f1336,f1340]) ).
fof(f1344,definition,
( sQ136_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( sQ136_spl
| sQ134_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f550,f1311,f1336,f1344]) ).
fof(f1348,plain,
( ~ sQ42_spl
| sQ134_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f551,f1311,f1336,f755]) ).
fof(f1350,plain,
( ~ sQ134_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f553,f1311,f1336]) ).
fof(f1351,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ8_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f554,f1311,f645,f1340,f1344,f755,f820]) ).
fof(f1352,plain,
( sQ59_spl
| sQ42_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ8_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f555,f1311,f645,f1340,f1344,f755,f810]) ).
fof(f1355,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f559,f1315,f628,f658]) ).
fof(f1356,plain,
( sQ3_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f560,f1315,f628]) ).
fof(f1357,plain,
( sQ12_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f561,f1315,f658]) ).
fof(f1358,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f563,f1319,f693,f713]) ).
fof(f1359,plain,
( sQ23_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f564,f1319,f693]) ).
fof(f1360,plain,
( sQ29_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f565,f1319,f713]) ).
fof(f1361,definition,
( sQ137_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1364,plain,
( sQ4_spl
| sQ137_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f572,f1336,f1361,f632]) ).
fof(f1365,definition,
( sQ138_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( sQ138_spl
| sQ137_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f573,f1336,f1361,f1365]) ).
fof(f1369,definition,
( sQ139_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( sQ139_spl
| sQ137_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f574,f1336,f1361,f1369]) ).
fof(f1375,plain,
( ~ sQ137_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f577,f1336,f1361]) ).
fof(f1377,plain,
( sQ55_spl
| sQ41_spl
| ~ sQ139_spl
| ~ sQ138_spl
| ~ sQ4_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f579,f1336,f632,f1365,f1369,f752,f797]) ).
fof(f1378,plain,
( sQ61_spl
| sQ38_spl
| ~ sQ139_spl
| ~ sQ138_spl
| ~ sQ4_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f580,f1336,f632,f1365,f1369,f742,f817]) ).
fof(f1380,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f583,f1340,f625,f645]) ).
fof(f1381,plain,
( sQ2_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f584,f1340,f625]) ).
fof(f1382,plain,
( sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f585,f1340,f645]) ).
fof(f1383,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f587,f1344,f690,f700]) ).
fof(f1384,plain,
( sQ22_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f588,f1344,f690]) ).
fof(f1385,plain,
( sQ25_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f589,f1344,f700]) ).
fof(f1386,plain,
( sQ0_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f594,f1361,f619]) ).
fof(f1387,definition,
( sQ140_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f595,f1361,f1387]) ).
fof(f1391,definition,
( sQ141_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ141_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f596,f1361,f1391]) ).
fof(f1401,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f604,f1365,f622,f632]) ).
fof(f1402,plain,
( sQ1_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f605,f1365,f622]) ).
fof(f1403,plain,
( sQ4_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f606,f1365,f632]) ).
fof(f1404,plain,
( ~ sQ21_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f608,f1369,f687]) ).
fof(f1405,plain,
( sQ21_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f609,f1369,f687]) ).
fof(f1407,plain,
( ~ sQ0_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f612,f1387,f619]) ).
fof(f1408,plain,
( sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f613,f1387,f619]) ).
fof(f1410,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f616,f1391,f684,f674]) ).
fof(f1411,plain,
( sQ20_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f617,f1391,f684]) ).
fof(f1412,plain,
( sQ17_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f618,f1391,f674]) ).
fof(f1414,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f727,f81]) ).
fof(f1415,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f727,f79]) ).
fof(f1416,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f772,f97]) ).
fof(f1417,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f720,f96]) ).
fof(f1419,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f717,f720]) ).
fof(f1420,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f131]) ).
fof(f1421,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1420]) ).
fof(f1424,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f772,f99]) ).
fof(f1425,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f772,f101]) ).
fof(f1426,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f668,f104]) ).
fof(f1427,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f665,f668]) ).
fof(f1428,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f131]) ).
fof(f1429,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1430,plain,
( ~ sQ63_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f1425]) ).
fof(f1431,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f727,f114]) ).
fof(f1433,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f727,f115]) ).
fof(f1434,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f808,f95]) ).
fof(f1435,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f808,f94]) ).
fof(f1436,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f808,f92]) ).
fof(f1437,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f795,f89]) ).
fof(f1438,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f795,f88]) ).
fof(f1439,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f795,f86]) ).
fof(f1440,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f782,f82]) ).
fof(f1441,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f782,f80]) ).
fof(f1442,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f727,f116]) ).
fof(f1444,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f766,f772]) ).
fof(f1445,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1444,f130]) ).
fof(f1446,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f782,f120]) ).
fof(f1448,plain,
( ~ sQ50_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f795,f1447]) ).
fof(f1449,plain,
( ~ sQ50_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1448]) ).
fof(f1450,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1454,plain,
( ~ sQ13_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f662,f107]) ).
fof(f1455,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f662,f106]) ).
fof(f1456,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f805,f808]) ).
fof(f1457,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1456,f129]) ).
fof(f1458,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1457]) ).
fof(f1461,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f779,f122]) ).
fof(f1463,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f763,f119]) ).
fof(f1464,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f763,f118]) ).
fof(f1465,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1463,f749,f762]) ).
fof(f1466,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f711,f113]) ).
fof(f1467,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f711,f112]) ).
fof(f1468,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f711,f110]) ).
fof(f1469,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f711,f100]) ).
fof(f1470,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f789,f792]) ).
fof(f1471,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f126]) ).
fof(f1472,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f776,f779]) ).
fof(f1474,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1473,f126]) ).
fof(f1475,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1474]) ).
fof(f1476,plain,
( ~ sQ41_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f1433]) ).
fof(f1477,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1480,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1441,f625,f781]) ).
fof(f1482,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f662,f668]) ).
fof(f1483,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f130]) ).
fof(f1484,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1485,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f802,f811]) ).
fof(f1486,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f128]) ).
fof(f1487,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1488,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f711,f720]) ).
fof(f1489,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f128]) ).
fof(f1490,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1491,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f707,f111]) ).
fof(f1492,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f707,f109]) ).
fof(f1493,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f707,f93]) ).
fof(f1494,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f707,f90]) ).
fof(f1495,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f655,f105]) ).
fof(f1497,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f655,f91]) ).
fof(f1498,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f746,f117]) ).
fof(f1499,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f746,f87]) ).
fof(f1500,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f746,f85]) ).
fof(f1505,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f652,f655]) ).
fof(f1506,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f131]) ).
fof(f1507,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f740,f746]) ).
fof(f1509,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f130]) ).
fof(f1510,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1415,f622,f726]) ).
fof(f1513,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f724,f733]) ).
fof(f1514,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1513,f128]) ).
fof(f1515,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1514]) ).
fof(f1516,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f737,f740]) ).
fof(f1517,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f126]) ).
fof(f1518,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1519,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1461,f817,f778]) ).
fof(f1520,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f642,f102]) ).
fof(f1521,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f642,f84]) ).
fof(f1522,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f681,f108]) ).
fof(f1523,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f681,f78]) ).
fof(f1527,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f649,f652]) ).
fof(f1528,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f129]) ).
fof(f1529,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f698,f90]) ).
fof(f1531,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f698,f701]) ).
fof(f1532,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1531,f126]) ).
fof(f1533,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1534,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1437,f742,f794]) ).
fof(f1535,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f681,f1492]) ).
fof(f1536,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1535]) ).
fof(f1537,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f672,f678]) ).
fof(f1539,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f127]) ).
fof(f1540,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1530,f645,f697]) ).
fof(f1542,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f636,f639]) ).
fof(f1543,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f129]) ).
fof(f1544,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1545,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1442,f765,f726]) ).
fof(f1546,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1454,f648,f661]) ).
fof(f1547,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1438,f690,f794]) ).
fof(f1550,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f626,f104]) ).
fof(f1551,plain,
( sQ89_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f626,f966]) ).
fof(f1553,plain,
( sQ79_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f626,f924]) ).
fof(f1554,plain,
( sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1551,f654,f625,f964]) ).
fof(f1565,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1440,f677,f781]) ).
fof(f1567,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f769,f101]) ).
fof(f1568,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f769,f99]) ).
fof(f1570,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f694,f88]) ).
fof(f1572,plain,
( sQ82_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f694,f937]) ).
fof(f1573,plain,
( sQ70_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f694,f891]) ).
fof(f1574,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1570,f797,f693]) ).
fof(f1575,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f756,f759]) ).
fof(f1576,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f131]) ).
fof(f1577,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f1568]) ).
fof(f1579,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1578]) ).
fof(f1580,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1434,f755,f807]) ).
fof(f1583,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1464,f736,f762]) ).
fof(f1584,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1455,f635,f661]) ).
fof(f1585,plain,
( sQ70_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1573,f710,f693,f889]) ).
fof(f1587,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f785,f120]) ).
fof(f1588,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f785,f82]) ).
fof(f1589,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f785,f80]) ).
fof(f1590,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f785,f83]) ).
fof(f1592,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f665,f106]) ).
fof(f1593,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f665,f107]) ).
fof(f1595,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f665,f96]) ).
fof(f1599,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f730,f79]) ).
fof(f1602,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f730,f114]) ).
fof(f1603,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f730,f115]) ).
fof(f1604,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f730,f116]) ).
fof(f1608,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f730,f733]) ).
fof(f1609,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f131]) ).
fof(f1610,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1613,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1500,f641,f745]) ).
fof(f1617,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f691,f112]) ).
fof(f1618,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f691,f111]) ).
fof(f1619,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f824,f100]) ).
fof(f1636,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f824,f98]) ).
fof(f1637,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1587,f797,f784]) ).
fof(f1638,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1588,f680,f784]) ).
fof(f1639,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1590,f732,f784]) ).
fof(f1640,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1593,f651,f664]) ).
fof(f1642,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1436,f651,f807]) ).
fof(f1645,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f824,f122]) ).
fof(f1648,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f792,f86]) ).
fof(f1650,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f675,f109]) ).
fof(f1651,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f675,f110]) ).
fof(f1653,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f753,f117]) ).
fof(f1655,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f753,f93]) ).
fof(f1656,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f753,f95]) ).
fof(f1658,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f753,f119]) ).
fof(f1659,plain,
( sQ66_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f753,f877]) ).
fof(f1660,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1658,f765,f752]) ).
fof(f1663,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f792,f124]) ).
fof(f1665,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f629,f103]) ).
fof(f1666,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f685,f87]) ).
fof(f1669,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f766,f118]) ).
fof(f1673,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f685,f84]) ).
fof(f1675,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f623,f629]) ).
fof(f1676,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f130]) ).
fof(f1677,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( sQ82_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f685,f937]) ).
fof(f1679,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f623,f102]) ).
fof(f1680,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f623,f103]) ).
fof(f1682,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f824,f124]) ).
fof(f1685,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f659,f665]) ).
fof(f1686,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f127]) ).
fof(f1687,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1686]) ).
fof(f1689,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1653,f739,f752]) ).
fof(f1691,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1655,f700,f752]) ).
fof(f1692,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1656,f804,f752]) ).
fof(f1693,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1636,f667,f823]) ).
fof(f1695,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1426,f628,f667]) ).
fof(f1696,plain,
( sQ79_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1553,f648,f625,f922]) ).
fof(f1697,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1680,f648,f622]) ).
fof(f1698,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1603,f755,f729]) ).
fof(f1699,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1599,f625,f729]) ).
fof(f1700,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1604,f768,f729]) ).
fof(f1701,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1682,f797,f823]) ).
fof(f1702,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1665,f654,f628]) ).
fof(f1703,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1648,f635,f791]) ).
fof(f1704,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1650,f700,f674]) ).
fof(f1705,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1651,f713,f674]) ).
fof(f1706,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1414,f674,f726]) ).
fof(f1707,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1617,f716,f690]) ).
fof(f1708,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1618,f703,f690]) ).
fof(f1709,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1589,f628,f784]) ).
fof(f1710,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1439,f638,f794]) ).
fof(f1711,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1645,f784,f823]) ).
fof(f1712,plain,
( sQ87_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f685,f958]) ).
fof(f1713,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f685,f88]) ).
fof(f1714,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f685,f108]) ).
fof(f1715,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1712,f680,f684,f956]) ).
fof(f1720,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f620,f79]) ).
fof(f1721,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f620,f80]) ).
fof(f1722,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f620,f104]) ).
fof(f1723,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f620,f78]) ).
fof(f1724,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1721,f775,f619]) ).
fof(f1725,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1722,f658,f619]) ).
fof(f1726,plain,
( sQ73_spl
| ~ sQ20_spl
| e3 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f685,f902]) ).
fof(f1727,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f685,f694]) ).
fof(f1728,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f128]) ).
fof(f1729,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1728]) ).
fof(f1730,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f685,f691]) ).
fof(f1731,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f127]) ).
fof(f1732,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1733,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1521,f693,f641]) ).
fof(f1734,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1522,f693,f680]) ).
fof(f1735,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1493,f758,f706]) ).
fof(f1736,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1498,f758,f745]) ).
fof(f1745,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f688,f112]) ).
fof(f1746,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f688,f111]) ).
fof(f1747,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1745,f713,f687]) ).
fof(f1748,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1713,f788,f684]) ).
fof(f1749,plain,
( sQ82_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1678,f677,f684,f935]) ).
fof(f1750,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1520,f628,f641]) ).
fof(f1751,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1720,f723,f619]) ).
fof(f1752,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1723,f671,f619]) ).
fof(f1753,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1468,f671,f710]) ).
fof(f1757,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f789,f89]) ).
fof(f1758,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f789,f86]) ).
fof(f1759,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f789,f123]) ).
fof(f1760,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f789,f120]) ).
fof(f1761,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1758,f632,f788]) ).
fof(f1762,plain,
( sQ66_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1659,f736,f752,f875]) ).
fof(f1764,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1619,f719,f823]) ).
fof(f1765,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1673,f632,f684]) ).
fof(f1766,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1663,f817,f791]) ).
fof(f1768,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1466,f697,f710]) ).
fof(f1769,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1467,f684,f710]) ).
fof(f1770,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1424,f719,f771]) ).
fof(f1771,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f750,f115]) ).
fof(f1774,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f750,f93]) ).
fof(f1775,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f750,f117]) ).
fof(f1776,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f750,f91]) ).
fof(f1777,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f626,f78]) ).
fof(f1781,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f626,f102]) ).
fof(f1782,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f626,f103]) ).
fof(f1783,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1782,f651,f625]) ).
fof(f1787,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f811,f125]) ).
fof(f1790,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f811,f121]) ).
fof(f1791,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1787,f823,f810]) ).
fof(f1792,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1746,f700,f687]) ).
fof(f1793,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1469,f814,f710]) ).
fof(f1794,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1776,f645,f749]) ).
fof(f1795,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1435,f703,f807]) ).
fof(f1796,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1595,f716,f664]) ).
fof(f1797,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1495,f641,f654]) ).
fof(f1798,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1567,f820,f768]) ).
fof(f1802,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f763,f101]) ).
fof(f1803,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f763,f99]) ).
fof(f1804,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f763,f97]) ).
fof(f1805,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1802,f814,f762]) ).
fof(f1806,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1550,f664,f625]) ).
fof(f1809,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1774,f697,f749]) ).
fof(f1810,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1775,f736,f749]) ).
fof(f1811,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1714,f671,f684]) ).
fof(f1812,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1790,f784,f810]) ).
fof(f1813,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1669,f739,f765]) ).
fof(f1814,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f769,f119]) ).
fof(f1817,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f688,f108]) ).
fof(f1818,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f688,f88]) ).
fof(f1819,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f688,f87]) ).
fof(f1820,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f688,f84]) ).
fof(f1826,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f769,f118]) ).
fof(f1829,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f811,f94]) ).
fof(f1832,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f811,f95]) ).
fof(f1833,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f811,f123]) ).
fof(f1834,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1832,f758,f810]) ).
fof(f1835,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1833,f797,f810]) ).
fof(f1845,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f688,f694]) ).
fof(f1846,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1845,f130]) ).
fof(f1847,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1846]) ).
fof(f1848,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1602,f742,f729]) ).
fof(f1849,plain,
( ~ sQ82_spl
| ~ sQ21_spl
| e2 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f688,f936]) ).
fof(f1850,plain,
( ~ sQ82_spl
| ~ sQ21_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f688,f1849]) ).
fof(f1851,plain,
( ~ sQ82_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1850,f129]) ).
fof(f1852,plain,
( ~ sQ82_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1804,f658,f762]) ).
fof(f1854,plain,
( sQ82_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1572,f716,f693,f935]) ).
fof(f1855,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1499,f693,f745]) ).
fof(f1856,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1491,f693,f706]) ).
fof(f1857,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1819,f739,f687]) ).
fof(f1861,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f730,f83]) ).
fof(f1869,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f717,f100]) ).
fof(f1872,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f717,f113]) ).
fof(f1877,plain,
( sQ85_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f623,f948]) ).
fof(f1881,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f623,f80]) ).
fof(f1883,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f623,f78]) ).
fof(f1884,plain,
( sQ85_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1877,f638,f622,f946]) ).
fof(f1885,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1881,f778,f622]) ).
fof(f1889,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f750,f95]) ).
fof(f1896,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1889,f801,f749]) ).
fof(f1900,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1592,f638,f664]) ).
fof(f1903,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1869,f820,f716]) ).
fof(f1904,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1494,f654,f706]) ).
fof(f1905,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1679,f635,f622]) ).
fof(f1907,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1861,f781,f729]) ).
fof(f1908,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1817,f674,f687]) ).
fof(f1909,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f633,f102]) ).
fof(f1913,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f633,f106]) ).
fof(f1914,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f633,f105]) ).
fof(f1915,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f633,f85]) ).
fof(f1917,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f776,f83]) ).
fof(f1921,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f776,f121]) ).
fof(f1924,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f776,f82]) ).
fof(f1932,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f623,f104]) ).
fof(f1946,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f691,f87]) ).
fof(f1948,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f691,f108]) ).
fof(f1964,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f655,f92]) ).
fof(f1984,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f746,f118]) ).
fof(f1985,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f746,f89]) ).
fof(f1986,plain,
( sQ74_spl
| ~ sQ41_spl
| e3 != op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f753,f906]) ).
fof(f1998,plain,
( sQ88_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f753,f962]) ).
fof(f1999,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f746,f1998]) ).
fof(f2000,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1999]) ).
fof(f2001,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( sQ76_spl
| ~ sQ41_spl
| e0 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f753,f913]) ).
fof(f2003,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f746,f2002]) ).
fof(f2004,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f763,f2003]) ).
fof(f2005,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2004]) ).
fof(f2006,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2010,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f655,f107]) ).
fof(f2024,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f681,f110]) ).
fof(f2049,plain,
( sQ71_spl
| ~ sQ20_spl
| e2 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f685,f894]) ).
fof(f2050,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f681,f2049]) ).
fof(f2057,plain,
( ~ sQ30_spl
| sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f2050]) ).
fof(f2058,plain,
( ~ sQ30_spl
| sQ71_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2057]) ).
fof(f2061,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f701,f113]) ).
fof(f2062,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2061,f713,f700]) ).
fof(f2063,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1523,f628,f680]) ).
fof(f2071,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2024,f719,f680]) ).
fof(f2072,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1417,f667,f719]) ).
fof(f2073,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1917,f723,f775]) ).
fof(f2074,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1771,f723,f749]) ).
fof(f2076,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1909,f619,f632]) ).
fof(f2077,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1777,f677,f625]) ).
fof(f2078,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1803,f710,f762]) ).
fof(f2080,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1914,f645,f632]) ).
fof(f2081,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1814,f755,f768]) ).
fof(f2082,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2010,f667,f654]) ).
fof(f2083,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1416,f667,f771]) ).
fof(f2084,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1759,f801,f788]) ).
fof(f2085,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1818,f791,f687]) ).
fof(f2086,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1932,f661,f622]) ).
fof(f2087,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1946,f742,f690]) ).
fof(f2088,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1826,f742,f768]) ).
fof(f2089,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1872,f703,f716]) ).
fof(f2090,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1432,f739,f726]) ).
fof(f2092,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1985,f797,f745]) ).
fof(f2093,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1984,f771,f745]) ).
fof(f2094,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1781,f638,f625]) ).
fof(f2095,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1913,f658,f632]) ).
fof(f2096,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1820,f635,f687]) ).
fof(f2101,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f756,f93]) ).
fof(f2111,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f707,f113]) ).
fof(f2133,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f636,f105]) ).
fof(f2138,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f646,f107]) ).
fof(f2147,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f646,f92]) ).
fof(f2156,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f711,f96]) ).
fof(f2158,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2156,f658,f710]) ).
fof(f2191,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f681,f81]) ).
fof(f2200,plain,
( sQ86_spl
| ~ sQ2_spl
| e1 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f626,f951]) ).
fof(f2201,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f655,f2200]) ).
fof(f2214,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f815,f824]) ).
fof(f2215,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f128]) ).
fof(f2216,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2224,plain,
( sQ77_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f815,f917]) ).
fof(f2234,plain,
( sQ84_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f815,f944]) ).
fof(f2236,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f779,f120]) ).
fof(f2237,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f779,f121]) ).
fof(f2249,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f629,f79]) ).
fof(f2277,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f779,f2224]) ).
fof(f2278,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2277]) ).
fof(f2279,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2283,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2191,f732,f680]) ).
fof(f2295,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f717,f110]) ).
fof(f2297,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f620,f103]) ).
fof(f2315,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f763,f116]) ).
fof(f2324,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f652,f90]) ).
fof(f2331,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f652,f105]) ).
fof(f2347,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f698,f109]) ).
fof(f2351,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f743,f117]) ).
fof(f2356,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f743,f85]) ).
fof(f2367,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f733,f115]) ).
fof(f2415,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f782,f122]) ).
fof(f2419,plain,
( sQ83_spl
| ~ sQ23_spl
| e0 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f694,f940]) ).
fof(f2420,plain,
( sQ83_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f717,f2419]) ).
fof(f2421,plain,
( sQ83_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f698,f2420]) ).
fof(f2422,plain,
( sQ83_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2421]) ).
fof(f2423,plain,
( sQ83_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2424,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f818,f100]) ).
fof(f2430,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f818,f98]) ).
fof(f2438,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1964,f810,f654]) ).
fof(f2446,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f698,f704]) ).
fof(f2447,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f127]) ).
fof(f2448,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2449,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1915,f736,f632]) ).
fof(f2450,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2324,f703,f651]) ).
fof(f2451,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1921,f801,f775]) ).
fof(f2452,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2331,f638,f651]) ).
fof(f2453,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2347,f671,f697]) ).
fof(f2454,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2237,f804,f778]) ).
fof(f2455,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1757,f736,f788]) ).
fof(f2456,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1883,f674,f622]) ).
fof(f2458,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2297,f645,f619]) ).
fof(f2459,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2147,f801,f645]) ).
fof(f2461,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2367,f758,f732]) ).
fof(f2462,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2249,f732,f628]) ).
fof(f2464,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2101,f703,f755]) ).
fof(f2465,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2234,f781,f814,f942]) ).
fof(f2466,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2295,f677,f716]) ).
fof(f2468,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2138,f658,f645]) ).
fof(f2469,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1948,f677,f690]) ).
fof(f2470,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2236,f791,f778]) ).
fof(f2471,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2356,f638,f742]) ).
fof(f2472,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2351,f755,f742]) ).
fof(f2473,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2315,f723,f762]) ).
fof(f2483,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f802,f94]) ).
fof(f2550,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f802,f805]) ).
fof(f2551,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2550,f126]) ).
fof(f2552,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2551]) ).
fof(f2555,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1666,f736,f684]) ).
fof(f2563,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f795,f798]) ).
fof(f2564,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2563,f131]) ).
fof(f2565,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2564]) ).
fof(f2579,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f795,f124]) ).
fof(f2583,plain,
( sQ72_spl
| ~ sQ60_spl
| e2 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f815,f898]) ).
fof(f2584,plain,
( sQ69_spl
| ~ sQ60_spl
| e1 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f815,f887]) ).
fof(f2705,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f779,f2583]) ).
fof(f2706,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f795,f2705]) ).
fof(f2707,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2706]) ).
fof(f2708,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2712,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2201,f661,f654,f625,f949]) ).
fof(f2784,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f678,f81]) ).
fof(f2813,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f818,f125]) ).
fof(f2830,plain,
( sQ78_spl
| ~ sQ61_spl
| e0 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f818,f920]) ).
fof(f2831,plain,
( sQ78_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f795,f2830]) ).
fof(f2832,plain,
( sQ78_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f802,f2831]) ).
fof(f2833,plain,
( sQ78_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2832]) ).
fof(f2834,plain,
( sQ78_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2833]) ).
fof(f2837,plain,
( sQ84_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f818,f944]) ).
fof(f2838,plain,
( sQ84_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f795,f2837]) ).
fof(f2839,plain,
( sQ84_spl
| ~ sQ61_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2838]) ).
fof(f2840,plain,
( sQ84_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2839]) ).
fof(f2854,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2784,f729,f677]) ).
fof(f2863,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2579,f820,f794]) ).
fof(f2866,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2813,f804,f817]) ).
fof(f2867,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2430,f661,f817]) ).
fof(f2868,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2483,f697,f801]) ).
fof(f2910,plain,
( ~ sQ35_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f733,f116]) ).
fof(f2939,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f642,f86]) ).
fof(f2943,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f792,f123]) ).
fof(f3014,plain,
( sQ67_spl
| ~ sQ40_spl
| e1 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f750,f880]) ).
fof(f3015,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f733,f3014]) ).
fof(f3016,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f766,f3015]) ).
fof(f3017,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3016]) ).
fof(f3018,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3017]) ).
fof(f3021,plain,
( sQ88_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f750,f962]) ).
fof(f3022,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f733,f3021]) ).
fof(f3023,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3022]) ).
fof(f3024,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3112,plain,
( sQ69_spl
| ~ sQ62_spl
| e1 != op(e3,op(e3,e2)) ),
inference(backward_demodulation,[status(thm)],[f821,f887]) ).
fof(f3113,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f802,f3112]) ).
fof(f3114,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f779,f3113]) ).
fof(f3115,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3114]) ).
fof(f3116,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3115]) ).
fof(f3119,plain,
( sQ68_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f821,f884]) ).
fof(f3120,plain,
( sQ68_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f802,f3119]) ).
fof(f3121,plain,
( sQ68_spl
| ~ sQ62_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3120]) ).
fof(f3122,plain,
( sQ68_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3125,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2939,f797,f641]) ).
fof(f3127,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1760,f775,f788]) ).
fof(f3129,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2910,f771,f732]) ).
fof(f3132,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1924,f671,f775]) ).
fof(f3151,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f789,f798]) ).
fof(f3152,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f128]) ).
fof(f3153,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3282,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1829,f706,f810]) ).
fof(f3288,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2111,f719,f706]) ).
fof(f3296,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2943,f804,f791]) ).
fof(f3299,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2415,f820,f781]) ).
fof(f3303,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1497,f758,f654]) ).
fof(f3304,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2133,f648,f635]) ).
fof(f3306,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2424,f713,f817]) ).
fof(f3426,plain,
( sQ66_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f759,f877]) ).
fof(f3427,plain,
( sQ66_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f763,f3426]) ).
fof(f3428,plain,
( sQ66_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3427]) ).
fof(f3429,plain,
( sQ66_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3428]) ).
fof(f3443,plain,
( sQ67_spl
| ~ sQ43_spl
| e1 != op(e2,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f759,f880]) ).
fof(f3444,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f763,f3443]) ).
fof(f3445,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f727,f3444]) ).
fof(f3446,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3445]) ).
fof(f3447,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3485,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f678,f1726]) ).
fof(f3507,plain,
( ~ sQ27_spl
| sQ73_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f3485]) ).
fof(f3508,plain,
( ~ sQ27_spl
| sQ73_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3507]) ).
fof(f3624,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f782,f2584]) ).
fof(f3625,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f805,f3624]) ).
fof(f3626,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3625]) ).
fof(f3627,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3626]) ).
fof(f3673,plain,
( sQ87_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f691,f958]) ).
fof(f3674,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3673,f706,f690,f956]) ).
fof(f3735,plain,
( sQ74_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f737,f1986]) ).
fof(f3736,plain,
( sQ74_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f733,f3735]) ).
fof(f3737,plain,
( sQ74_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3736]) ).
fof(f3738,plain,
( sQ74_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3737]) ).
fof(f3739,plain,
$false,
inference(sat_refutation,[status(thm)],[f631,f644,f657,f670,f683,f696,f709,f722,f735,f748,f761,f774,f787,f800,f813,f826,f827,f828,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f862,f863,f864,f866,f870,f871,f872,f873,f881,f888,f895,f907,f929,f933,f941,f945,f953,f954,f955,f959,f963,f967,f968,f970,f974,f978,f982,f983,f984,f985,f993,f997,f1001,f1003,f1004,f1012,f1016,f1020,f1021,f1022,f1023,f1029,f1030,f1031,f1032,f1033,f1037,f1041,f1046,f1047,f1048,f1053,f1054,f1055,f1056,f1057,f1058,f1062,f1066,f1070,f1071,f1072,f1073,f1078,f1079,f1080,f1081,f1082,f1084,f1092,f1093,f1094,f1095,f1099,f1100,f1101,f1103,f1104,f1108,f1112,f1116,f1117,f1118,f1119,f1120,f1124,f1125,f1127,f1128,f1129,f1131,f1132,f1133,f1134,f1135,f1139,f1148,f1149,f1150,f1155,f1156,f1157,f1158,f1159,f1160,f1164,f1168,f1172,f1173,f1175,f1181,f1182,f1183,f1184,f1185,f1189,f1193,f1197,f1198,f1200,f1205,f1206,f1207,f1208,f1209,f1214,f1218,f1222,f1223,f1224,f1225,f1228,f1230,f1231,f1233,f1234,f1235,f1239,f1247,f1248,f1249,f1250,f1251,f1255,f1256,f1257,f1258,f1259,f1260,f1264,f1272,f1275,f1281,f1282,f1283,f1284,f1285,f1289,f1293,f1297,f1300,f1301,f1306,f1307,f1308,f1309,f1314,f1318,f1322,f1323,f1324,f1325,f1326,f1328,f1330,f1331,f1333,f1334,f1335,f1339,f1343,f1347,f1348,f1350,f1351,f1352,f1355,f1356,f1357,f1358,f1359,f1360,f1364,f1368,f1372,f1375,f1377,f1378,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1390,f1394,f1401,f1402,f1403,f1404,f1405,f1407,f1408,f1410,f1411,f1412,f1421,f1429,f1431,f1446,f1450,f1458,f1465,f1472,f1475,f1477,f1480,f1484,f1487,f1490,f1507,f1510,f1511,f1515,f1518,f1519,f1529,f1533,f1534,f1537,f1540,f1541,f1544,f1545,f1546,f1547,f1554,f1565,f1574,f1577,f1579,f1580,f1583,f1584,f1585,f1610,f1613,f1637,f1638,f1639,f1640,f1642,f1660,f1677,f1687,f1689,f1691,f1692,f1693,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1703,f1704,f1705,f1706,f1707,f1708,f1709,f1710,f1711,f1715,f1724,f1725,f1729,f1732,f1733,f1734,f1735,f1736,f1747,f1748,f1749,f1750,f1751,f1752,f1753,f1761,f1762,f1764,f1765,f1766,f1768,f1769,f1770,f1783,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1805,f1806,f1809,f1810,f1811,f1812,f1813,f1834,f1835,f1847,f1848,f1852,f1853,f1854,f1855,f1856,f1857,f1884,f1885,f1896,f1900,f1903,f1904,f1905,f1907,f1908,f2001,f2006,f2058,f2062,f2063,f2071,f2072,f2073,f2074,f2076,f2077,f2078,f2080,f2081,f2082,f2083,f2084,f2085,f2086,f2087,f2088,f2089,f2090,f2092,f2093,f2094,f2095,f2096,f2158,f2216,f2279,f2283,f2423,f2438,f2448,f2449,f2450,f2451,f2452,f2453,f2454,f2455,f2456,f2458,f2459,f2461,f2462,f2464,f2465,f2466,f2468,f2469,f2470,f2471,f2472,f2473,f2552,f2555,f2565,f2708,f2712,f2834,f2840,f2854,f2863,f2866,f2867,f2868,f3018,f3024,f3116,f3122,f3125,f3127,f3129,f3132,f3153,f3282,f3288,f3296,f3299,f3303,f3304,f3306,f3429,f3447,f3508,f3627,f3674,f3738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG152+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n026.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 13:01:37 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.14/0.84 % Refutation found
% 0.14/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.88 % Elapsed time: 0.322913 seconds
% 0.14/0.88 % CPU time: 2.248771 seconds
% 0.14/0.88 % Total memory used: 51.241 MB
% 0.14/0.88 % Net memory used: 50.383 MB
%------------------------------------------------------------------------------