%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG164+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:43 AM UTC 2026
% Result : Unsatisfiable 16.62s 2.53s
% Output : CNFRefutation 16.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 221
% Syntax : Number of formulae : 2361 ( 55 unt; 192 def)
% Number of atoms : 8317 (3525 equ)
% Maximal formula atoms : 144 ( 3 avg)
% Number of connectives : 10289 (4333 ~;4368 |;1368 &)
% ( 220 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 194 ( 192 usr; 193 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox2/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(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
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(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(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,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP1_prd )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,op(e3,e3)) != e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(op(e3,e3),e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(op(e3,e3),e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,e3) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e3,op(e3,e0)) = e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e3,op(e3,e1)) = e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,op(e3,e2)) = e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e3,op(e3,e3)) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f147,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f149,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f151,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f155,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f161,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f163,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f187,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,definition,
( sP2_prd
<=> ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(op(e3,e2),e2) = e3
| op(op(e3,e2),e3) != e2
| op(e3,op(e3,e2)) = e2 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,op(e3,e2)) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(op(e3,e2),e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(op(e3,e2),e2) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,definition,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f201,plain,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f200]) ).
fof(f202,plain,
( ( ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e0)) != e0
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e3,e2) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( op(e2,e3) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f205,plain,
( op(e3,op(e3,e0)) = e0
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f206,plain,
( op(e3,op(e3,e1)) = e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f207,plain,
( op(e3,op(e3,e2)) = e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f208,plain,
( op(e3,op(e3,e3)) = e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f209,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f211,definition,
( sP4_prd
<=> ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f212,plain,
( sP2_prd
<=> ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f211]) ).
fof(f213,plain,
( ( ( ( op(op(e3,e1),e1) = e3
| op(op(e3,e1),e3) != e1
| op(e3,op(e3,e1)) = e1 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
( op(e3,op(e3,e1)) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( op(op(e3,e1),e3) = e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f216,plain,
( op(op(e3,e1),e1) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f217,plain,
( ~ sP4_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f219,definition,
( sP5_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f220,plain,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f200,f219]) ).
fof(f221,plain,
( ( ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e0)) != e0
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( op(e3,e1) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e1,e3) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e3,op(e3,e0)) = e0
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e3,op(e3,e1)) = e1
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f226,plain,
( op(e3,op(e3,e2)) = e2
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f227,plain,
( op(e3,op(e3,e3)) = e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f230,definition,
( sP6_prd
<=> ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f231,plain,
( sP4_prd
<=> ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f211,f230]) ).
fof(f232,plain,
( ( ( ( op(op(e3,e0),e0) = e3
| op(op(e3,e0),e3) != e0
| op(e3,op(e3,e0)) = e0 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( op(e3,op(e3,e0)) != e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
( op(op(e3,e0),e3) = e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f235,plain,
( op(op(e3,e0),e0) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f236,plain,
( ~ sP6_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f237,plain,
( op(op(e3,e0),e0) = e3
| op(op(e3,e0),e3) != e0
| op(e3,op(e3,e0)) = e0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f238,definition,
( sP7_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f239,plain,
( sP5_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f219,f238]) ).
fof(f240,plain,
( ( ( ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e0)) != e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e0)) = e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( op(e3,e0) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( op(e0,e3) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f243,plain,
( op(e3,op(e3,e0)) = e0
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f244,plain,
( op(e3,op(e3,e1)) = e1
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f245,plain,
( op(e3,op(e3,e2)) = e2
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f246,plain,
( op(e3,op(e3,e3)) = e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f247,plain,
( ~ sP7_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f249,definition,
( sP8_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f250,plain,
( sP6_prd
<=> ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f230,f249]) ).
fof(f251,plain,
( ( ( ( op(op(e2,e3),e3) = e2
| op(op(e2,e3),e2) != e3
| op(e2,op(e2,e3)) = e3 )
& ~ sP8_prd )
| sP6_prd )
& ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| sP8_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
( op(e2,op(e2,e3)) != e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(op(e2,e3),e2) = e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
( op(op(e2,e3),e3) != e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
( ~ sP8_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f257,definition,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f258,plain,
( sP7_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f238,f257]) ).
fof(f259,plain,
( ( ( ( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP9_prd )
| sP7_prd )
& ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP9_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
( op(e2,e3) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e3,e2) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f262,plain,
( op(e2,op(e2,e0)) = e0
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f263,plain,
( op(e2,op(e2,e1)) = e1
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f264,plain,
( op(e2,op(e2,e2)) = e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f265,plain,
( op(e2,op(e2,e3)) = e3
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f266,plain,
( ~ sP9_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f268,definition,
( sP10_prd
<=> ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f269,plain,
( sP8_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f249,f268]) ).
fof(f270,plain,
( ( ( ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,op(e2,e2)) = e2 )
& ~ sP10_prd )
| sP8_prd )
& ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| sP10_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
( op(e2,op(e2,e2)) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(op(e2,e2),e2) = e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f273,plain,
( op(op(e2,e2),e2) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f274,plain,
( ~ sP10_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f276,definition,
( sP11_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f277,plain,
( sP9_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f257,f276]) ).
fof(f278,plain,
( ( ( ( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP11_prd )
| sP9_prd )
& ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP11_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
( op(e2,e2) = e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f281,plain,
( op(e2,op(e2,e0)) = e0
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f282,plain,
( op(e2,op(e2,e1)) = e1
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f283,plain,
( op(e2,op(e2,e2)) = e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f284,plain,
( op(e2,op(e2,e3)) = e3
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f285,plain,
( ~ sP11_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f286,plain,
( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e2,e2) != e2
| op(e2,e2) != e2
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f287,definition,
( sP12_prd
<=> ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f288,plain,
( sP10_prd
<=> ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f268,f287]) ).
fof(f289,plain,
( ( ( ( op(op(e2,e1),e1) = e2
| op(op(e2,e1),e2) != e1
| op(e2,op(e2,e1)) = e1 )
& ~ sP12_prd )
| sP10_prd )
& ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| sP12_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( op(e2,op(e2,e1)) != e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( op(op(e2,e1),e2) = e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f292,plain,
( op(op(e2,e1),e1) != e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( ~ sP12_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f294,plain,
( op(op(e2,e1),e1) = e2
| op(op(e2,e1),e2) != e1
| op(e2,op(e2,e1)) = e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f295,definition,
( sP13_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f296,plain,
( sP11_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f276,f295]) ).
fof(f297,plain,
( ( ( ( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP13_prd )
| sP11_prd )
& ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP13_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( op(e2,e1) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f299,plain,
( op(e1,e2) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f300,plain,
( op(e2,op(e2,e0)) = e0
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f301,plain,
( op(e2,op(e2,e1)) = e1
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f302,plain,
( op(e2,op(e2,e2)) = e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f303,plain,
( op(e2,op(e2,e3)) = e3
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f304,plain,
( ~ sP13_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f306,definition,
( sP14_prd
<=> ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f307,plain,
( sP12_prd
<=> ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f287,f306]) ).
fof(f308,plain,
( ( ( ( op(op(e2,e0),e0) = e2
| op(op(e2,e0),e2) != e0
| op(e2,op(e2,e0)) = e0 )
& ~ sP14_prd )
| sP12_prd )
& ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| sP14_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e2,op(e2,e0)) != e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(op(e2,e0),e2) = e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(op(e2,e0),e0) != e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( ~ sP14_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f313,plain,
( op(op(e2,e0),e0) = e2
| op(op(e2,e0),e2) != e0
| op(e2,op(e2,e0)) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f314,definition,
( sP15_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f315,plain,
( sP13_prd
<=> ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f295,f314]) ).
fof(f316,plain,
( ( ( ( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP15_prd )
| sP13_prd )
& ( ( op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e0)) = e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP15_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e2,e0) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( op(e0,e2) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f319,plain,
( op(e2,op(e2,e0)) = e0
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f320,plain,
( op(e2,op(e2,e1)) = e1
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f321,plain,
( op(e2,op(e2,e2)) = e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f322,plain,
( op(e2,op(e2,e3)) = e3
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f323,plain,
( ~ sP15_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f324,plain,
( op(e2,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e0)) != e0
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f325,definition,
( sP16_prd
<=> ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f326,plain,
( sP14_prd
<=> ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f306,f325]) ).
fof(f327,plain,
( ( ( ( op(op(e1,e3),e3) = e1
| op(op(e1,e3),e1) != e3
| op(e1,op(e1,e3)) = e3 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e1,op(e1,e3)) != e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( op(op(e1,e3),e1) = e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f330,plain,
( op(op(e1,e3),e3) != e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f331,plain,
( ~ sP16_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f332,plain,
( op(op(e1,e3),e3) = e1
| op(op(e1,e3),e1) != e3
| op(e1,op(e1,e3)) = e3
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f333,definition,
( sP17_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f334,plain,
( sP15_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f314,f333]) ).
fof(f335,plain,
( ( ( ( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op(e1,e3) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( op(e3,e1) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f338,plain,
( op(e1,op(e1,e0)) = e0
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f339,plain,
( op(e1,op(e1,e1)) = e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f340,plain,
( op(e1,op(e1,e2)) = e2
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f341,plain,
( op(e1,op(e1,e3)) = e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f342,plain,
( ~ sP17_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f344,definition,
( sP18_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f345,plain,
( sP16_prd
<=> ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f325,f344]) ).
fof(f346,plain,
( ( ( ( op(op(e1,e2),e2) = e1
| op(op(e1,e2),e1) != e2
| op(e1,op(e1,e2)) = e2 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( op(e1,op(e1,e2)) != e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(op(e1,e2),e1) = e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( op(op(e1,e2),e2) != e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,plain,
( ~ sP18_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( op(op(e1,e2),e2) = e1
| op(op(e1,e2),e1) != e2
| op(e1,op(e1,e2)) = e2
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,definition,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f353,plain,
( sP17_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f333,f352]) ).
fof(f354,plain,
( ( ( ( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
( op(e1,e2) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e2,e1) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f357,plain,
( op(e1,op(e1,e0)) = e0
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f358,plain,
( op(e1,op(e1,e1)) = e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f359,plain,
( op(e1,op(e1,e2)) = e2
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f360,plain,
( op(e1,op(e1,e3)) = e3
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f361,plain,
( ~ sP19_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f362,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f363,definition,
( sP20_prd
<=> ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f364,plain,
( sP18_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f344,f363]) ).
fof(f365,plain,
( ( ( ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,op(e1,e1)) = e1 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f366,plain,
( op(e1,op(e1,e1)) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f367,plain,
( op(op(e1,e1),e1) = e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f368,plain,
( op(op(e1,e1),e1) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f369,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f371,definition,
( sP21_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f372,plain,
( sP19_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f352,f371]) ).
fof(f373,plain,
( ( ( ( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( op(e1,e1) = e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f376,plain,
( op(e1,op(e1,e0)) = e0
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f377,plain,
( op(e1,op(e1,e1)) = e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f378,plain,
( op(e1,op(e1,e2)) = e2
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f379,plain,
( op(e1,op(e1,e3)) = e3
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f380,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f381,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,e1) != e1
| op(e1,e1) != e1
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f382,definition,
( sP22_prd
<=> ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f383,plain,
( sP20_prd
<=> ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f363,f382]) ).
fof(f384,plain,
( ( ( ( op(op(e1,e0),e0) = e1
| op(op(e1,e0),e1) != e0
| op(e1,op(e1,e0)) = e0 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e1,op(e1,e0)) != e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(op(e1,e0),e1) = e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(op(e1,e0),e0) != e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(op(e1,e0),e0) = e1
| op(op(e1,e0),e1) != e0
| op(e1,op(e1,e0)) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,definition,
( sP23_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f391,plain,
( sP21_prd
<=> ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f371,f390]) ).
fof(f392,plain,
( ( ( ( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e0)) = e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(e1,e0) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( op(e0,e1) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(e1,op(e1,e0)) = e0
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( op(e1,op(e1,e1)) = e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( op(e1,op(e1,e2)) = e2
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( op(e1,op(e1,e3)) = e3
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f399,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f400,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e0)) != e0
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f401,definition,
( sP24_prd
<=> ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f402,plain,
( sP22_prd
<=> ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f401]) ).
fof(f403,plain,
( ( ( ( op(op(e0,e3),e3) = e0
| op(op(e0,e3),e0) != e3
| op(e0,op(e0,e3)) = e3 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
( op(e0,op(e0,e3)) != e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
( op(op(e0,e3),e0) = e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f406,plain,
( op(op(e0,e3),e3) != e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f407,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f408,plain,
( op(op(e0,e3),e3) = e0
| op(op(e0,e3),e0) != e3
| op(e0,op(e0,e3)) = e3
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f409,definition,
( sP25_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f410,plain,
( sP23_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f390,f409]) ).
fof(f411,plain,
( ( ( ( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f410]) ).
fof(f412,plain,
( op(e0,e3) = e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( op(e3,e0) = e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f415,plain,
( op(e0,op(e0,e1)) = e1
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f416,plain,
( op(e0,op(e0,e2)) = e2
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f417,plain,
( op(e0,op(e0,e3)) = e3
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f418,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f419,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f420,definition,
( sP26_prd
<=> ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f421,plain,
( sP24_prd
<=> ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f401,f420]) ).
fof(f422,plain,
( ( ( ( op(op(e0,e2),e2) = e0
| op(op(e0,e2),e0) != e2
| op(e0,op(e0,e2)) = e2 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f421]) ).
fof(f423,plain,
( op(e0,op(e0,e2)) != e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op(op(e0,e2),e0) = e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f425,plain,
( op(op(e0,e2),e2) != e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f426,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f427,plain,
( op(op(e0,e2),e2) = e0
| op(op(e0,e2),e0) != e2
| op(e0,op(e0,e2)) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,definition,
( sP27_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f429,plain,
( sP25_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f409,f428]) ).
fof(f430,plain,
( ( ( ( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f429]) ).
fof(f431,plain,
( op(e0,e2) = e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f432,plain,
( op(e2,e0) = e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f435,plain,
( op(e0,op(e0,e2)) = e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f436,plain,
( op(e0,op(e0,e3)) = e3
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f437,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f438,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f439,definition,
( sP28_prd
<=> ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f440,plain,
( sP26_prd
<=> ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f420,f439]) ).
fof(f441,plain,
( ( ( ( op(op(e0,e1),e1) = e0
| op(op(e0,e1),e0) != e1
| op(e0,op(e0,e1)) = e1 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( op(e0,op(e0,e1)) != e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f443,plain,
( op(op(e0,e1),e0) = e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f444,plain,
( op(op(e0,e1),e1) != e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f445,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f446,plain,
( op(op(e0,e1),e1) = e0
| op(op(e0,e1),e0) != e1
| op(e0,op(e0,e1)) = e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f447,definition,
( sP29_prd
<=> ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f448,plain,
( sP27_prd
<=> ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f428,f447]) ).
fof(f449,plain,
( ( ( ( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( op(e0,e1) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op(e1,e0) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f452,plain,
( op(e0,op(e0,e0)) = e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f453,plain,
( op(e0,op(e0,e1)) = e1
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f454,plain,
( op(e0,op(e0,e2)) = e2
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f455,plain,
( op(e0,op(e0,e3)) = e3
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f456,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f457,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f458,plain,
( ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,op(e0,e0)) = e0
| sP28_prd )
& ( ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f439]) ).
fof(f459,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f460,plain,
( op(op(e0,e0),e0) = e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f461,plain,
( op(op(e0,e0),e0) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f463,plain,
( ( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP29_prd )
& ( ( op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f447]) ).
fof(f464,plain,
( op(e0,e0) = e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f467,plain,
( op(e0,op(e0,e1)) = e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f468,plain,
( op(e0,op(e0,e2)) = e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f469,plain,
( op(e0,op(e0,e3)) = e3
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f470,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f471,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ14_spl
| op(e0,e3) != e2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f549,f552,f555,f558]) ).
fof(f562,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f562,f565,f568,f571]) ).
fof(f575,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f575,f578,f581,f584]) ).
fof(f588,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f588,f591,f594,f597]) ).
fof(f601,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f601,f604,f607,f610]) ).
fof(f614,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ44_spl
| op(e2,e3) != e0 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f614,f617,f620,f623]) ).
fof(f627,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ50_spl
| op(e3,e0) != e2 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f627,f630,f633,f636]) ).
fof(f640,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f640,f643,f646,f649]) ).
fof(f653,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( sQ59_spl
| op(e3,e2) != e3 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f653,f656,f659,f662]) ).
fof(f666,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f666,f669,f672,f675]) ).
fof(f679,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f471,f484,f497,f510]) ).
fof(f680,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f471,f523,f575,f627]) ).
fof(f681,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f474,f487,f500,f513]) ).
fof(f682,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f474,f526,f578,f630]) ).
fof(f683,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f477,f490,f503,f516]) ).
fof(f684,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f477,f529,f581,f633]) ).
fof(f685,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f480,f493,f506,f519]) ).
fof(f686,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f480,f532,f584,f636]) ).
fof(f687,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f523,f536,f549,f562]) ).
fof(f688,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f484,f536,f588,f640]) ).
fof(f689,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f526,f539,f552,f565]) ).
fof(f690,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f487,f539,f591,f643]) ).
fof(f691,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f529,f542,f555,f568]) ).
fof(f692,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f490,f542,f594,f646]) ).
fof(f693,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f532,f545,f558,f571]) ).
fof(f694,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f493,f545,f597,f649]) ).
fof(f695,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f575,f588,f601,f614]) ).
fof(f696,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f497,f549,f601,f653]) ).
fof(f697,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f578,f591,f604,f617]) ).
fof(f698,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f500,f552,f604,f656]) ).
fof(f699,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f581,f594,f607,f620]) ).
fof(f700,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f503,f555,f607,f659]) ).
fof(f701,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f584,f597,f610,f623]) ).
fof(f702,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f506,f558,f610,f662]) ).
fof(f703,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f627,f640,f653,f666]) ).
fof(f704,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f510,f562,f614,f666]) ).
fof(f705,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f630,f643,f656,f669]) ).
fof(f706,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f513,f565,f617,f669]) ).
fof(f707,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f633,f646,f659,f672]) ).
fof(f708,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f516,f568,f620,f672]) ).
fof(f709,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f636,f649,f662,f675]) ).
fof(f710,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f519,f571,f623,f675]) ).
fof(f711,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f714,definition,
( sQ65_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ65_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( sQ65_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f711,f714]) ).
fof(f718,definition,
( sQ66_spl
<=> op(op(e3,e3),e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ66_spl
| op(op(e3,e3),e3) = e3 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( sQ66_spl
| op(op(e3,e3),e3) != e3 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f711,f718]) ).
fof(f722,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f711,f718]) ).
fof(f723,definition,
( sQ67_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f138,f723,f675]) ).
fof(f728,definition,
( sQ68_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ68_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f730,plain,
( sQ68_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f140,f723,f728]) ).
fof(f732,definition,
( sQ69_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ69_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f734,plain,
( sQ69_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ69_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f141,f723,f732]) ).
fof(f736,definition,
( sQ70_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ70_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( sQ70_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( sQ70_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f142,f723,f736]) ).
fof(f740,plain,
( sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f143,f723,f714]) ).
fof(f741,definition,
( sQ71_spl
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ71_spl
| e0 = op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f743,plain,
( sQ71_spl
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ72_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ72_spl
| e1 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( sQ72_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( ~ sQ43_spl
| ~ sQ72_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f145,f741,f744,f610]) ).
fof(f748,definition,
( sQ73_spl
<=> e0 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ73_spl
| e0 = op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( sQ73_spl
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ74_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( sQ74_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( ~ sQ62_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f147,f748,f751,f672]) ).
fof(f755,definition,
( sQ75_spl
<=> e0 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ75_spl
| e0 = op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f757,plain,
( sQ75_spl
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ76_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( sQ76_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ sQ23_spl
| ~ sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f149,f755,f758,f545]) ).
fof(f762,definition,
( sQ77_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ77_spl
| e2 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ77_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ sQ61_spl
| ~ sQ77_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f151,f748,f762,f669]) ).
fof(f766,definition,
( sQ78_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( sQ78_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( ~ sQ22_spl
| ~ sQ78_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f153,f755,f766,f542]) ).
fof(f770,definition,
( sQ79_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ79_spl
| e3 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( sQ79_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ41_spl
| ~ sQ79_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f155,f741,f770,f604]) ).
fof(f774,definition,
( sQ80_spl
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ80_spl
| e1 = op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f776,plain,
( sQ80_spl
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ81_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ81_spl
| e0 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( sQ81_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sQ43_spl
| ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f157,f774,f777,f610]) ).
fof(f781,definition,
( sQ82_spl
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ82_spl
| e1 = op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( sQ82_spl
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ83_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ83_spl
| e0 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f786,plain,
( sQ83_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( ~ sQ62_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f159,f781,f784,f672]) ).
fof(f788,definition,
( sQ84_spl
<=> e1 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ84_spl
| e1 = op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( sQ84_spl
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ85_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ85_spl
| e2 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( sQ85_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( ~ sQ3_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f161,f788,f791,f480]) ).
fof(f795,plain,
( ~ sQ60_spl
| ~ sQ77_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f163,f781,f762,f666]) ).
fof(f796,definition,
( sQ86_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ86_spl
| e3 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( sQ86_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ2_spl
| ~ sQ86_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f165,f788,f796,f477]) ).
fof(f800,plain,
( ~ sQ40_spl
| ~ sQ79_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f167,f774,f770,f601]) ).
fof(f801,definition,
( sQ87_spl
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( sQ87_spl
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ88_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( sQ88_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( ~ sQ23_spl
| ~ sQ88_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f169,f801,f804,f545]) ).
fof(f808,definition,
( sQ89_spl
<=> e2 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( ~ sQ89_spl
| e2 = op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f810,plain,
( sQ89_spl
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( ~ sQ61_spl
| ~ sQ83_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f171,f808,f784,f669]) ).
fof(f812,definition,
( sQ90_spl
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ90_spl
| e2 = op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ90_spl
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ91_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ91_spl
| e1 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( sQ91_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( ~ sQ3_spl
| ~ sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f173,f812,f815,f480]) ).
fof(f819,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f175,f808,f751,f666]) ).
fof(f820,plain,
( ~ sQ1_spl
| ~ sQ86_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f177,f812,f796,f474]) ).
fof(f821,plain,
( ~ sQ20_spl
| ~ sQ78_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f179,f801,f766,f536]) ).
fof(f822,definition,
( sQ92_spl
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( sQ92_spl
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ22_spl
| ~ sQ88_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f181,f822,f804,f542]) ).
fof(f826,definition,
( sQ93_spl
<=> e3 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ93_spl
| e3 = op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( sQ93_spl
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( ~ sQ41_spl
| ~ sQ81_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f183,f826,f777,f604]) ).
fof(f830,definition,
( sQ94_spl
<=> e3 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ94_spl
| e3 = op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( sQ94_spl
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( ~ sQ2_spl
| ~ sQ91_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f185,f830,f815,f477]) ).
fof(f834,plain,
( ~ sQ40_spl
| ~ sQ72_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f187,f826,f744,f601]) ).
fof(f835,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f189,f830,f791,f474]) ).
fof(f836,plain,
( ~ sQ20_spl
| ~ sQ76_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f191,f822,f758,f536]) ).
fof(f837,definition,
( sQ95_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ70_spl
| sQ95_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f195,f711,f837,f736]) ).
fof(f841,definition,
( sQ96_spl
<=> op(op(e3,e2),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ96_spl
| op(op(e3,e2),e3) = e2 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( sQ96_spl
| op(op(e3,e2),e3) != e2 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f711,f837,f841]) ).
fof(f845,definition,
( sQ97_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ97_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( sQ97_spl
| op(op(e3,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ97_spl
| sQ95_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f711,f837,f845]) ).
fof(f849,plain,
( ~ sQ95_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f711,f837]) ).
fof(f851,definition,
( sQ98_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ59_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f203,f723,f851,f662]) ).
fof(f855,plain,
( sQ47_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f204,f723,f851,f623]) ).
fof(f856,plain,
( sQ68_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f205,f723,f851,f728]) ).
fof(f857,plain,
( sQ69_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f206,f723,f851,f732]) ).
fof(f858,plain,
( sQ70_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f207,f723,f851,f736]) ).
fof(f859,plain,
( sQ65_spl
| sQ98_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f208,f723,f851,f714]) ).
fof(f860,plain,
( ~ sQ98_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f209,f723,f851]) ).
fof(f862,definition,
( sQ99_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ69_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f214,f837,f862,f732]) ).
fof(f866,definition,
( sQ100_spl
<=> op(op(e3,e1),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ100_spl
| op(op(e3,e1),e3) = e1 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( sQ100_spl
| op(op(e3,e1),e3) != e1 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( sQ100_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f215,f837,f862,f866]) ).
fof(f870,definition,
( sQ101_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( sQ101_spl
| op(op(e3,e1),e1) != e3 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( ~ sQ101_spl
| sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f216,f837,f862,f870]) ).
fof(f874,plain,
( ~ sQ99_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f217,f837,f862]) ).
fof(f876,definition,
( sQ102_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( sQ55_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f222,f851,f876,f649]) ).
fof(f880,plain,
( sQ31_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f223,f851,f876,f571]) ).
fof(f881,plain,
( sQ68_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f224,f851,f876,f728]) ).
fof(f882,plain,
( sQ69_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f225,f851,f876,f732]) ).
fof(f883,plain,
( sQ70_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f226,f851,f876,f736]) ).
fof(f884,plain,
( sQ65_spl
| sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f227,f851,f876,f714]) ).
fof(f885,plain,
( ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f228,f851,f876]) ).
fof(f887,definition,
( sQ103_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ68_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f233,f862,f887,f728]) ).
fof(f891,definition,
( sQ104_spl
<=> op(op(e3,e0),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ104_spl
| op(op(e3,e0),e3) = e0 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( sQ104_spl
| op(op(e3,e0),e3) != e0 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( sQ104_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f234,f862,f887,f891]) ).
fof(f895,definition,
( sQ105_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ105_spl
| op(op(e3,e0),e0) = e3 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ105_spl
| op(op(e3,e0),e0) != e3 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( ~ sQ105_spl
| sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f235,f862,f887,f895]) ).
fof(f899,plain,
( ~ sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f236,f862,f887]) ).
fof(f900,plain,
( sQ105_spl
| ~ sQ104_spl
| sQ68_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f237,f862,f728,f891,f895]) ).
fof(f901,definition,
( sQ106_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( sQ51_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f241,f876,f901,f636]) ).
fof(f905,plain,
( sQ15_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f242,f876,f901,f519]) ).
fof(f906,plain,
( sQ68_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f243,f876,f901,f728]) ).
fof(f907,plain,
( sQ69_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f244,f876,f901,f732]) ).
fof(f908,plain,
( sQ70_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f245,f876,f901,f736]) ).
fof(f909,plain,
( sQ65_spl
| sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f246,f876,f901,f714]) ).
fof(f910,plain,
( ~ sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f247,f876,f901]) ).
fof(f912,definition,
( sQ107_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f915,definition,
( sQ108_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ108_spl
| op(e2,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( sQ108_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ108_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f252,f887,f912,f915]) ).
fof(f919,definition,
( sQ109_spl
<=> op(op(e2,e3),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ109_spl
| op(op(e2,e3),e2) = e3 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( sQ109_spl
| op(op(e2,e3),e2) != e3 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( sQ109_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f253,f887,f912,f919]) ).
fof(f923,definition,
( sQ110_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ110_spl
| op(op(e2,e3),e3) = e2 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( sQ110_spl
| op(op(e2,e3),e3) != e2 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ110_spl
| sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f254,f887,f912,f923]) ).
fof(f927,plain,
( ~ sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f255,f887,f912]) ).
fof(f929,definition,
( sQ111_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( sQ46_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f260,f901,f929,f620]) ).
fof(f933,plain,
( sQ58_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f261,f901,f929,f659]) ).
fof(f934,definition,
( sQ112_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ112_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( sQ112_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( sQ112_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f262,f901,f929,f934]) ).
fof(f938,definition,
( sQ113_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ113_spl
| op(e2,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ113_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( sQ113_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f263,f901,f929,f938]) ).
fof(f942,definition,
( sQ114_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ114_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( sQ114_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( sQ114_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f264,f901,f929,f942]) ).
fof(f946,plain,
( sQ108_spl
| sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f265,f901,f929,f915]) ).
fof(f947,plain,
( ~ sQ111_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f266,f901,f929]) ).
fof(f949,definition,
( sQ115_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ114_spl
| sQ115_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f271,f912,f949,f942]) ).
fof(f953,definition,
( sQ116_spl
<=> op(op(e2,e2),e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( ~ sQ116_spl
| op(op(e2,e2),e2) = e2 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f955,plain,
( sQ116_spl
| op(op(e2,e2),e2) != e2 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( sQ116_spl
| sQ115_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f272,f912,f949,f953]) ).
fof(f957,plain,
( ~ sQ116_spl
| sQ115_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f273,f912,f949,f953]) ).
fof(f958,plain,
( ~ sQ115_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f274,f912,f949]) ).
fof(f960,definition,
( sQ117_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ42_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f279,f929,f960,f607]) ).
fof(f965,plain,
( sQ112_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f281,f929,f960,f934]) ).
fof(f966,plain,
( sQ113_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f282,f929,f960,f938]) ).
fof(f967,plain,
( sQ114_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f283,f929,f960,f942]) ).
fof(f968,plain,
( sQ108_spl
| sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f284,f929,f960,f915]) ).
fof(f969,plain,
( ~ sQ117_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f285,f929,f960]) ).
fof(f970,plain,
( ~ sQ108_spl
| ~ sQ114_spl
| ~ sQ113_spl
| ~ sQ112_spl
| ~ sQ42_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f286,f929,f607,f934,f938,f942,f915]) ).
fof(f971,definition,
( sQ118_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ113_spl
| sQ118_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f290,f949,f971,f938]) ).
fof(f975,definition,
( sQ119_spl
<=> op(op(e2,e1),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ119_spl
| op(op(e2,e1),e2) = e1 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( sQ119_spl
| sQ118_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f291,f949,f971,f975]) ).
fof(f979,definition,
( sQ120_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ120_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f981,plain,
( sQ120_spl
| op(op(e2,e1),e1) != e2 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ120_spl
| sQ118_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f292,f949,f971,f979]) ).
fof(f983,plain,
( ~ sQ118_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f293,f949,f971]) ).
fof(f984,plain,
( sQ120_spl
| ~ sQ119_spl
| sQ113_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f294,f949,f938,f975,f979]) ).
fof(f985,definition,
( sQ121_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( sQ38_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f298,f960,f985,f594]) ).
fof(f989,plain,
( sQ26_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f299,f960,f985,f555]) ).
fof(f990,plain,
( sQ112_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f300,f960,f985,f934]) ).
fof(f991,plain,
( sQ113_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f301,f960,f985,f938]) ).
fof(f992,plain,
( sQ114_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f302,f960,f985,f942]) ).
fof(f993,plain,
( sQ108_spl
| sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f303,f960,f985,f915]) ).
fof(f994,plain,
( ~ sQ121_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f304,f960,f985]) ).
fof(f996,definition,
( sQ122_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ112_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f309,f971,f996,f934]) ).
fof(f1000,definition,
( sQ123_spl
<=> op(op(e2,e0),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ123_spl
| op(op(e2,e0),e2) = e0 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( sQ123_spl
| op(op(e2,e0),e2) != e0 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( sQ123_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f310,f971,f996,f1000]) ).
fof(f1004,definition,
( sQ124_spl
<=> op(op(e2,e0),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ124_spl
| op(op(e2,e0),e0) = e2 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1006,plain,
( sQ124_spl
| op(op(e2,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,plain,
( ~ sQ124_spl
| sQ122_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f311,f971,f996,f1004]) ).
fof(f1008,plain,
( ~ sQ122_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f312,f971,f996]) ).
fof(f1009,plain,
( sQ124_spl
| ~ sQ123_spl
| sQ112_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f313,f971,f934,f1000,f1004]) ).
fof(f1010,definition,
( sQ125_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( sQ34_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f317,f985,f1010,f581]) ).
fof(f1014,plain,
( sQ10_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f318,f985,f1010,f503]) ).
fof(f1015,plain,
( sQ112_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f319,f985,f1010,f934]) ).
fof(f1016,plain,
( sQ113_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f320,f985,f1010,f938]) ).
fof(f1017,plain,
( sQ114_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f321,f985,f1010,f942]) ).
fof(f1018,plain,
( sQ108_spl
| sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f322,f985,f1010,f915]) ).
fof(f1019,plain,
( ~ sQ125_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f323,f985,f1010]) ).
fof(f1020,plain,
( ~ sQ108_spl
| ~ sQ114_spl
| ~ sQ113_spl
| ~ sQ112_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f324,f985,f581,f503,f934,f938,f942,f915]) ).
fof(f1021,definition,
( sQ126_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1024,definition,
( sQ127_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ127_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1026,plain,
( sQ127_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1027,plain,
( ~ sQ127_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f328,f996,f1021,f1024]) ).
fof(f1028,definition,
( sQ128_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ128_spl
| op(op(e1,e3),e1) = e3 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( sQ128_spl
| op(op(e1,e3),e1) != e3 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( sQ128_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f329,f996,f1021,f1028]) ).
fof(f1032,definition,
( sQ129_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ129_spl
| op(op(e1,e3),e3) = e1 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1034,plain,
( sQ129_spl
| op(op(e1,e3),e3) != e1 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ129_spl
| sQ126_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f330,f996,f1021,f1032]) ).
fof(f1036,plain,
( ~ sQ126_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f331,f996,f1021]) ).
fof(f1037,plain,
( sQ129_spl
| ~ sQ128_spl
| sQ127_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f332,f996,f1024,f1028,f1032]) ).
fof(f1038,definition,
( sQ130_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ29_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f336,f1010,f1038,f565]) ).
fof(f1042,plain,
( sQ53_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f337,f1010,f1038,f643]) ).
fof(f1043,definition,
( sQ131_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ131_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1045,plain,
( sQ131_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,plain,
( sQ131_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f338,f1010,f1038,f1043]) ).
fof(f1047,definition,
( sQ132_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ132_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
( sQ132_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( sQ132_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f339,f1010,f1038,f1047]) ).
fof(f1051,definition,
( sQ133_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ133_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1053,plain,
( sQ133_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( sQ133_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f340,f1010,f1038,f1051]) ).
fof(f1055,plain,
( sQ127_spl
| sQ130_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f341,f1010,f1038,f1024]) ).
fof(f1056,plain,
( ~ sQ130_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f342,f1010,f1038]) ).
fof(f1058,definition,
( sQ134_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ133_spl
| sQ134_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f347,f1021,f1058,f1051]) ).
fof(f1062,definition,
( sQ135_spl
<=> op(op(e1,e2),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ135_spl
| op(op(e1,e2),e1) = e2 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( sQ135_spl
| op(op(e1,e2),e1) != e2 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( sQ135_spl
| sQ134_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f348,f1021,f1058,f1062]) ).
fof(f1066,definition,
( sQ136_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ136_spl
| op(op(e1,e2),e2) = e1 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ136_spl
| op(op(e1,e2),e2) != e1 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( ~ sQ136_spl
| sQ134_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f349,f1021,f1058,f1066]) ).
fof(f1070,plain,
( ~ sQ134_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f350,f1021,f1058]) ).
fof(f1071,plain,
( sQ136_spl
| ~ sQ135_spl
| sQ133_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f351,f1021,f1051,f1062,f1066]) ).
fof(f1072,definition,
( sQ137_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( sQ25_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f355,f1038,f1072,f552]) ).
fof(f1076,plain,
( sQ37_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f356,f1038,f1072,f591]) ).
fof(f1077,plain,
( sQ131_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f357,f1038,f1072,f1043]) ).
fof(f1078,plain,
( sQ132_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f358,f1038,f1072,f1047]) ).
fof(f1079,plain,
( sQ133_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f359,f1038,f1072,f1051]) ).
fof(f1080,plain,
( sQ127_spl
| sQ137_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f360,f1038,f1072,f1024]) ).
fof(f1081,plain,
( ~ sQ137_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f361,f1038,f1072]) ).
fof(f1082,plain,
( ~ sQ127_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ131_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f362,f1038,f552,f591,f1043,f1047,f1051,f1024]) ).
fof(f1083,definition,
( sQ138_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ132_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f366,f1058,f1083,f1047]) ).
fof(f1087,definition,
( sQ139_spl
<=> op(op(e1,e1),e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( sQ139_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f367,f1058,f1083,f1087]) ).
fof(f1091,plain,
( ~ sQ139_spl
| sQ138_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f368,f1058,f1083,f1087]) ).
fof(f1092,plain,
( ~ sQ138_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f369,f1058,f1083]) ).
fof(f1094,definition,
( sQ140_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ21_spl
| sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f374,f1072,f1094,f539]) ).
fof(f1099,plain,
( sQ131_spl
| sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f376,f1072,f1094,f1043]) ).
fof(f1100,plain,
( sQ132_spl
| sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f377,f1072,f1094,f1047]) ).
fof(f1101,plain,
( sQ133_spl
| sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f378,f1072,f1094,f1051]) ).
fof(f1102,plain,
( sQ127_spl
| sQ140_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f379,f1072,f1094,f1024]) ).
fof(f1103,plain,
( ~ sQ140_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f380,f1072,f1094]) ).
fof(f1104,plain,
( ~ sQ127_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ131_spl
| ~ sQ21_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f381,f1072,f539,f1043,f1047,f1051,f1024]) ).
fof(f1105,definition,
( sQ141_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( ~ sQ131_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f385,f1083,f1105,f1043]) ).
fof(f1109,definition,
( sQ142_spl
<=> op(op(e1,e0),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( ~ sQ142_spl
| op(op(e1,e0),e1) = e0 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
( sQ142_spl
| op(op(e1,e0),e1) != e0 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( sQ142_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f386,f1083,f1105,f1109]) ).
fof(f1113,definition,
( sQ143_spl
<=> op(op(e1,e0),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( ~ sQ143_spl
| op(op(e1,e0),e0) = e1 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
( sQ143_spl
| op(op(e1,e0),e0) != e1 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ sQ143_spl
| sQ141_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f387,f1083,f1105,f1113]) ).
fof(f1117,plain,
( ~ sQ141_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f388,f1083,f1105]) ).
fof(f1118,plain,
( sQ143_spl
| ~ sQ142_spl
| sQ131_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f389,f1083,f1043,f1109,f1113]) ).
fof(f1119,definition,
( sQ144_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( sQ17_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f393,f1094,f1119,f526]) ).
fof(f1123,plain,
( sQ5_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f394,f1094,f1119,f487]) ).
fof(f1124,plain,
( sQ131_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f395,f1094,f1119,f1043]) ).
fof(f1125,plain,
( sQ132_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f396,f1094,f1119,f1047]) ).
fof(f1126,plain,
( sQ133_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f397,f1094,f1119,f1051]) ).
fof(f1127,plain,
( sQ127_spl
| sQ144_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f398,f1094,f1119,f1024]) ).
fof(f1128,plain,
( ~ sQ144_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f399,f1094,f1119]) ).
fof(f1129,plain,
( ~ sQ127_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ131_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f400,f1094,f526,f487,f1043,f1047,f1051,f1024]) ).
fof(f1130,definition,
( sQ145_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1133,definition,
( sQ146_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ146_spl
| op(e0,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ146_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ146_spl
| sQ145_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f404,f1105,f1130,f1133]) ).
fof(f1137,definition,
( sQ147_spl
<=> op(op(e0,e3),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ147_spl
| op(op(e0,e3),e0) = e3 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ147_spl
| op(op(e0,e3),e0) != e3 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,plain,
( sQ147_spl
| sQ145_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f405,f1105,f1130,f1137]) ).
fof(f1141,definition,
( sQ148_spl
<=> op(op(e0,e3),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ148_spl
| op(op(e0,e3),e3) = e0 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( sQ148_spl
| op(op(e0,e3),e3) != e0 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( ~ sQ148_spl
| sQ145_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f406,f1105,f1130,f1141]) ).
fof(f1145,plain,
( ~ sQ145_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f407,f1105,f1130]) ).
fof(f1146,plain,
( sQ148_spl
| ~ sQ147_spl
| sQ146_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f408,f1105,f1133,f1137,f1141]) ).
fof(f1147,definition,
( sQ149_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
( sQ12_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f412,f1119,f1147,f510]) ).
fof(f1151,plain,
( sQ48_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f413,f1119,f1147,f627]) ).
fof(f1152,definition,
( sQ150_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( ~ sQ150_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( sQ150_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1156,definition,
( sQ151_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ151_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( sQ151_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,plain,
( sQ151_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f415,f1119,f1147,f1156]) ).
fof(f1160,definition,
( sQ152_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ152_spl
| op(e0,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1162,plain,
( sQ152_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( sQ152_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f416,f1119,f1147,f1160]) ).
fof(f1164,plain,
( sQ146_spl
| sQ149_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f417,f1119,f1147,f1133]) ).
fof(f1165,plain,
( ~ sQ149_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f418,f1119,f1147]) ).
fof(f1166,plain,
( ~ sQ146_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f419,f1119,f510,f627,f1152,f1156,f1160,f1133]) ).
fof(f1167,definition,
( sQ153_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( ~ sQ152_spl
| sQ153_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f423,f1130,f1167,f1160]) ).
fof(f1171,definition,
( sQ154_spl
<=> op(op(e0,e2),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ154_spl
| op(op(e0,e2),e0) = e2 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1173,plain,
( sQ154_spl
| op(op(e0,e2),e0) != e2 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( sQ154_spl
| sQ153_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f424,f1130,f1167,f1171]) ).
fof(f1175,definition,
( sQ155_spl
<=> op(op(e0,e2),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( ~ sQ155_spl
| op(op(e0,e2),e2) = e0 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1177,plain,
( sQ155_spl
| op(op(e0,e2),e2) != e0 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ155_spl
| sQ153_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f425,f1130,f1167,f1175]) ).
fof(f1179,plain,
( ~ sQ153_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f426,f1130,f1167]) ).
fof(f1180,plain,
( sQ155_spl
| ~ sQ154_spl
| sQ152_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f427,f1130,f1160,f1171,f1175]) ).
fof(f1181,definition,
( sQ156_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( sQ8_spl
| sQ156_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f431,f1147,f1181,f497]) ).
fof(f1185,plain,
( sQ32_spl
| sQ156_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f432,f1147,f1181,f575]) ).
fof(f1188,plain,
( sQ152_spl
| sQ156_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f435,f1147,f1181,f1160]) ).
fof(f1189,plain,
( sQ146_spl
| sQ156_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f436,f1147,f1181,f1133]) ).
fof(f1190,plain,
( ~ sQ156_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f437,f1147,f1181]) ).
fof(f1191,plain,
( ~ sQ146_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f438,f1147,f497,f575,f1152,f1156,f1160,f1133]) ).
fof(f1192,definition,
( sQ157_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ151_spl
| sQ157_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f442,f1167,f1192,f1156]) ).
fof(f1196,definition,
( sQ158_spl
<=> op(op(e0,e1),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ158_spl
| op(op(e0,e1),e0) = e1 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1198,plain,
( sQ158_spl
| op(op(e0,e1),e0) != e1 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( sQ158_spl
| sQ157_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f443,f1167,f1192,f1196]) ).
fof(f1200,definition,
( sQ159_spl
<=> op(op(e0,e1),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
( ~ sQ159_spl
| op(op(e0,e1),e1) = e0 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( sQ159_spl
| op(op(e0,e1),e1) != e0 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ159_spl
| sQ157_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f444,f1167,f1192,f1200]) ).
fof(f1204,plain,
( ~ sQ157_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f445,f1167,f1192]) ).
fof(f1205,plain,
( sQ159_spl
| ~ sQ158_spl
| sQ151_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f446,f1167,f1156,f1196,f1200]) ).
fof(f1206,definition,
( sQ160_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( sQ4_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f450,f1181,f1206,f484]) ).
fof(f1210,plain,
( sQ16_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f451,f1181,f1206,f523]) ).
fof(f1211,plain,
( sQ150_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f452,f1181,f1206,f1152]) ).
fof(f1212,plain,
( sQ151_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f453,f1181,f1206,f1156]) ).
fof(f1213,plain,
( sQ152_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f454,f1181,f1206,f1160]) ).
fof(f1214,plain,
( sQ146_spl
| sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f455,f1181,f1206,f1133]) ).
fof(f1215,plain,
( ~ sQ160_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f456,f1181,f1206]) ).
fof(f1216,plain,
( ~ sQ146_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f457,f1181,f484,f523,f1152,f1156,f1160,f1133]) ).
fof(f1217,plain,
( ~ sQ150_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f459,f1192,f1152]) ).
fof(f1218,definition,
( sQ161_spl
<=> op(op(e0,e0),e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ161_spl
| op(op(e0,e0),e0) = e0 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( sQ161_spl
| op(op(e0,e0),e0) != e0 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,plain,
( sQ161_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f460,f1192,f1218]) ).
fof(f1222,plain,
( ~ sQ161_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f461,f1192,f1218]) ).
fof(f1224,plain,
( sQ0_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f464,f1206,f471]) ).
fof(f1227,plain,
( sQ151_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f467,f1206,f1156]) ).
fof(f1228,plain,
( sQ152_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f468,f1206,f1160]) ).
fof(f1229,plain,
( sQ146_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f469,f1206,f1133]) ).
fof(f1230,plain,
( ~ sQ146_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ0_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f470,f1206,f471,f1152,f1156,f1160,f1133]) ).
fof(f1231,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f125]) ).
fof(f1232,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f124]) ).
fof(f1233,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f122]) ).
fof(f1234,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f101]) ).
fof(f1236,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f676,f98]) ).
fof(f1238,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f569,f112]) ).
fof(f1239,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f569,f110]) ).
fof(f1240,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f569,f99]) ).
fof(f1242,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f107]) ).
fof(f1243,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f106]) ).
fof(f1245,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f517,f97]) ).
fof(f1246,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f647,f123]) ).
fof(f1247,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f120]) ).
fof(f1248,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f89]) ).
fof(f1250,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f86]) ).
fof(f1251,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f634,f121]) ).
fof(f1252,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f634,f83]) ).
fof(f1253,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f634,f82]) ).
fof(f1254,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f634,f80]) ).
fof(f1256,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f118]) ).
fof(f1257,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f116]) ).
fof(f1258,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f514,f517]) ).
fof(f1259,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f129]) ).
fof(f1260,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ sQ127_spl
| ~ sQ30_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1025]) ).
fof(f1263,plain,
( ~ sQ129_spl
| ~ sQ30_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f569,f1033]) ).
fof(f1264,plain,
( ~ sQ128_spl
| ~ sQ30_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1029]) ).
fof(f1265,plain,
( ~ sQ108_spl
| ~ sQ45_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f618,f916]) ).
fof(f1266,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f657,f95]) ).
fof(f1267,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f657,f94]) ).
fof(f1268,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f657,f92]) ).
fof(f1269,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f631,f634]) ).
fof(f1270,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f129]) ).
fof(f1271,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1272,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f615,f618]) ).
fof(f1273,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1272,f126]) ).
fof(f1274,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f563,f569]) ).
fof(f1276,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f127]) ).
fof(f1277,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1276]) ).
fof(f1278,plain,
( ~ sQ70_spl
| ~ sQ57_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f657,f737]) ).
fof(f1279,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f654,f657]) ).
fof(f1280,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f126]) ).
fof(f1281,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1282,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f641,f647]) ).
fof(f1283,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f127]) ).
fof(f1284,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f109]) ).
fof(f1287,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f559,f93]) ).
fof(f1288,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f90]) ).
fof(f1290,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f103]) ).
fof(f1291,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f507,f91]) ).
fof(f1292,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f598,f117]) ).
fof(f1293,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f598,f114]) ).
fof(f1295,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f598,f85]) ).
fof(f1297,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f585,f81]) ).
fof(f1298,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f585,f79]) ).
fof(f1299,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f501,f507]) ).
fof(f1300,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f130]) ).
fof(f1301,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1302,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f579,f585]) ).
fof(f1303,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f130]) ).
fof(f1304,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1305,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f550,f559]) ).
fof(f1306,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f128]) ).
fof(f1307,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f589,f598]) ).
fof(f1309,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f128]) ).
fof(f1310,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f494,f102]) ).
fof(f1314,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f533,f78]) ).
fof(f1315,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f491,f494]) ).
fof(f1316,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f131]) ).
fof(f1317,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1318,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f530,f533]) ).
fof(f1319,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f131]) ).
fof(f1320,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1336,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f524,f527]) ).
fof(f1337,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f126]) ).
fof(f1338,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1337]) ).
fof(f1339,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f511,f96]) ).
fof(f1340,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f485,f488]) ).
fof(f1341,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f126]) ).
fof(f1342,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( ~ sQ70_spl
| ~ sQ57_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1278,f646,f656,f736]) ).
fof(f1344,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f628,f120]) ).
fof(f1346,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f576,f114]) ).
fof(f1362,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f576,f582]) ).
fof(f1363,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1362,f127]) ).
fof(f1364,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1365,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f592,f114]) ).
fof(f1366,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f498,f504]) ).
fof(f1367,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f127]) ).
fof(f1368,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f592,f595]) ).
fof(f1371,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f129]) ).
fof(f1372,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1376,plain,
( ~ sQ57_spl
| ~ sQ25_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1267]) ).
fof(f1377,plain,
( ~ sQ57_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1376]) ).
fof(f1378,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f540,f543]) ).
fof(f1380,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1379,f129]) ).
fof(f1381,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1380]) ).
fof(f1382,plain,
( ~ sQ127_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f566,f1025]) ).
fof(f1383,plain,
( ~ sQ146_spl
| ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f511,f1134]) ).
fof(f1385,plain,
( ~ sQ147_spl
| ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f511,f1138]) ).
fof(f1387,plain,
( ~ sQ128_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f566,f1029]) ).
fof(f1388,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1365,f578,f591]) ).
fof(f1389,plain,
( ~ sQ129_spl
| ~ sQ30_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1263,f617,f568,f1032]) ).
fof(f1392,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f566,f569]) ).
fof(f1393,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f129]) ).
fof(f1394,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1248,f594,f646]) ).
fof(f1396,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f644,f647]) ).
fof(f1397,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1396,f129]) ).
fof(f1398,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1399,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f511,f514]) ).
fof(f1400,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f126]) ).
fof(f1401,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f628,f121]) ).
fof(f1403,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f628,f83]) ).
fof(f1404,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f628,f82]) ).
fof(f1405,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f628,f80]) ).
fof(f1406,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1295,f493,f597]) ).
fof(f1408,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1252,f581,f633]) ).
fof(f1409,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f628,f634]) ).
fof(f1410,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1409,f127]) ).
fof(f1411,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1410]) ).
fof(f1427,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f660,f663]) ).
fof(f1428,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f131]) ).
fof(f1429,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1430,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1339,f562,f510]) ).
fof(f1431,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1344,f640,f627]) ).
fof(f1432,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1402,f653,f627]) ).
fof(f1433,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1403,f575,f627]) ).
fof(f1434,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1243,f490,f516]) ).
fof(f1435,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f621,f1245]) ).
fof(f1436,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1435]) ).
fof(f1437,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1438,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f608,f611]) ).
fof(f1439,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1438,f131]) ).
fof(f1440,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1439]) ).
fof(f1445,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1297,f532,f584]) ).
fof(f1446,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1246,f659,f646]) ).
fof(f1449,plain,
( ~ sQ148_spl
| ~ sQ15_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f520,f1142]) ).
fof(f1450,plain,
( ~ sQ147_spl
| ~ sQ15_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f520,f1138]) ).
fof(f1451,plain,
( ~ sQ136_spl
| ~ sQ26_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f556,f1067]) ).
fof(f1452,plain,
( ~ sQ135_spl
| ~ sQ26_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f556,f1063]) ).
fof(f1469,plain,
( ~ sQ63_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f624,f1234]) ).
fof(f1470,plain,
( ~ sQ63_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1469]) ).
fof(f1471,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f572,f100]) ).
fof(f1475,plain,
( sQ150_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f472,f1154]) ).
fof(f1476,plain,
( sQ150_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f472,f1475]) ).
fof(f1477,plain,
( sQ150_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1476]) ).
fof(f1478,plain,
( sQ150_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1481,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1287,f610,f558]) ).
fof(f1482,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f556,f559]) ).
fof(f1483,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f131]) ).
fof(f1484,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1485,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1293,f584,f597]) ).
fof(f1489,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1251,f659,f633]) ).
fof(f1490,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1253,f529,f633]) ).
fof(f1493,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f572,f113]) ).
fof(f1495,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f572,f110]) ).
fof(f1496,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f572,f99]) ).
fof(f1497,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f624,f1496]) ).
fof(f1498,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f520,f1236]) ).
fof(f1501,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1500]) ).
fof(f1502,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1503,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1231,f662,f675]) ).
fof(f1504,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1232,f649,f675]) ).
fof(f1505,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1233,f636,f675]) ).
fof(f1506,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1250,f490,f646]) ).
fof(f1507,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1473,f675,f571]) ).
fof(f1509,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1404,f523,f627]) ).
fof(f1510,plain,
( ~ sQ43_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f1291]) ).
fof(f1511,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1512,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f1290]) ).
fof(f1513,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1512]) ).
fof(f1515,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f478,f104]) ).
fof(f1516,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f478,f79]) ).
fof(f1517,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f478,f102]) ).
fof(f1518,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1516,f581,f477]) ).
fof(f1519,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f1254]) ).
fof(f1520,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1519]) ).
fof(f1521,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f650,f120]) ).
fof(f1523,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f650,f86]) ).
fof(f1526,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f650,f123]) ).
fof(f1527,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f650,f733]) ).
fof(f1528,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1522,f636,f649]) ).
fof(f1529,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1526,f662,f649]) ).
fof(f1530,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1247,f633,f646]) ).
fof(f1531,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1346,f588,f575]) ).
fof(f1532,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1268,f500,f656]) ).
fof(f1533,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f475,f78]) ).
fof(f1534,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1533,f526,f474]) ).
fof(f1535,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f475,f478]) ).
fof(f1536,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f129]) ).
fof(f1537,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1541,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f475,f481]) ).
fof(f1542,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f130]) ).
fof(f1543,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1314,f480,f532]) ).
fof(f1545,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1292,f610,f597]) ).
fof(f1547,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f90]) ).
fof(f1548,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f556,f93]) ).
fof(f1549,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f109]) ).
fof(f1550,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f111]) ).
fof(f1551,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f556,f94]) ).
fof(f1552,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1547,f503,f555]) ).
fof(f1553,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1548,f607,f555]) ).
fof(f1554,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1550,f542,f555]) ).
fof(f1557,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f550,f556]) ).
fof(f1558,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f127]) ).
fof(f1559,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1257,f578,f617]) ).
fof(f1561,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1493,f558,f571]) ).
fof(f1562,plain,
( ~ sQ146_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1383,f480,f510,f1133]) ).
fof(f1563,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1288,f506,f558]) ).
fof(f1564,plain,
( ~ sQ147_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1385,f480,f510,f1137]) ).
fof(f1565,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f546,f88]) ).
fof(f1566,plain,
( sQ132_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f546,f1049]) ).
fof(f1567,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f546,f112]) ).
fof(f1569,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f546,f84]) ).
fof(f1570,plain,
( sQ76_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f546,f760]) ).
fof(f1572,plain,
( sQ88_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f546,f806]) ).
fof(f1575,plain,
( sQ75_spl
| ~ sQ23_spl
| e0 != op(op(e3,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f546,f757]) ).
fof(f1576,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f546,f87]) ).
fof(f1577,plain,
( sQ132_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1566,f565,f545,f1047]) ).
fof(f1578,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1567,f571,f545]) ).
fof(f1579,plain,
( sQ88_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1572,f640,f545,f804]) ).
fof(f1580,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1576,f597,f545]) ).
fof(f1582,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f566,f110]) ).
fof(f1583,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f566,f99]) ).
fof(f1584,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f566,f96]) ).
fof(f1585,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1583,f617,f565]) ).
fof(f1586,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1584,f513,f565]) ).
fof(f1587,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1569,f493,f545]) ).
fof(f1588,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1549,f529,f555]) ).
fof(f1589,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1551,f659,f555]) ).
fof(f1590,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1311,f480,f493]) ).
fof(f1592,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1515,f516,f477]) ).
fof(f1594,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1570,f646,f545,f758]) ).
fof(f1596,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1565,f649,f545]) ).
fof(f1598,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1298,f480,f584]) ).
fof(f1599,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1517,f490,f477]) ).
fof(f1600,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1405,f471,f627]) ).
fof(f1601,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f498,f91]) ).
fof(f1602,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f498,f103]) ).
fof(f1603,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f498,f105]) ).
fof(f1604,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f498,f107]) ).
fof(f1605,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f498,f92]) ).
fof(f1606,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1602,f471,f497]) ).
fof(f1607,plain,
( ~ sQ127_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1382,f545,f565,f1024]) ).
fof(f1608,plain,
( ~ sQ128_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1387,f545,f565,f1028]) ).
fof(f1609,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1582,f526,f565]) ).
fof(f1611,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f540,f111]) ).
fof(f1613,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f673,f101]) ).
fof(f1614,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f673,f122]) ).
fof(f1616,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f673,f125]) ).
fof(f1617,plain,
( sQ74_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f673,f753]) ).
fof(f1618,plain,
( sQ89_spl
| ~ sQ62_spl
| e2 != op(op(e2,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f673,f810]) ).
fof(f1619,plain,
( sQ83_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f673,f786]) ).
fof(f1621,plain,
( sQ82_spl
| ~ sQ62_spl
| e1 != op(op(e2,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f673,f783]) ).
fof(f1622,plain,
( sQ73_spl
| ~ sQ62_spl
| e0 != op(op(e2,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f673,f750]) ).
fof(f1623,plain,
( ~ sQ65_spl
| ~ sQ62_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f673,f715]) ).
fof(f1624,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1613,f620,f672]) ).
fof(f1625,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1614,f633,f672]) ).
fof(f1626,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1618,f923,f672,f808]) ).
fof(f1627,plain,
( sQ83_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1619,f614,f672,f784]) ).
fof(f1633,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1242,f503,f516]) ).
fof(f1634,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1256,f591,f617]) ).
fof(f1638,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f602,f93]) ).
fof(f1639,plain,
( sQ72_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f602,f746]) ).
fof(f1642,plain,
( sQ79_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f602,f772]) ).
fof(f1643,plain,
( sQ80_spl
| ~ sQ40_spl
| e1 != op(op(e0,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f602,f776]) ).
fof(f1644,plain,
( sQ71_spl
| ~ sQ40_spl
| e0 != op(op(e0,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f602,f743]) ).
fof(f1645,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f602,f115]) ).
fof(f1646,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f602,f119]) ).
fof(f1647,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f602,f95]) ).
fof(f1648,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f602,f117]) ).
fof(f1649,plain,
( sQ72_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1639,f500,f601,f744]) ).
fof(f1650,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1645,f575,f601]) ).
fof(f1651,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1647,f653,f601]) ).
fof(f1652,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1495,f532,f571]) ).
fof(f1654,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1646,f614,f601]) ).
fof(f1655,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1601,f601,f497]) ).
fof(f1656,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1604,f510,f497]) ).
fof(f1657,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1611,f552,f539]) ).
fof(f1659,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f537,f112]) ).
fof(f1664,plain,
( sQ75_spl
| ~ sQ20_spl
| e0 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f537,f757]) ).
fof(f1665,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f537,f87]) ).
fof(f1666,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f100]) ).
fof(f1667,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f91]) ).
fof(f1669,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f101]) ).
fof(f1670,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f122]) ).
fof(f1671,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f124]) ).
fof(f1672,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f667,f125]) ).
fof(f1673,plain,
( sQ74_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f667,f753]) ).
fof(f1675,plain,
( sQ77_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f667,f764]) ).
fof(f1679,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1685,f120]) ).
fof(f1680,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1685,f80]) ).
fof(f1681,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1685,f121]) ).
fof(f1682,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f1685,f83]) ).
fof(f1685,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f667,f715]) ).
fof(f1686,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1680,f480,f666,f714]) ).
fof(f1687,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1681,f662,f666,f714]) ).
fof(f1688,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1670,f627,f666]) ).
fof(f1689,plain,
( sQ65_spl
| ~ sQ60_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f667,f716]) ).
fof(f1691,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1679,f649,f666,f714]) ).
fof(f1692,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f667,f1527]) ).
fof(f1693,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f126]) ).
fof(f1694,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1693]) ).
fof(f1696,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1605,f653,f497]) ).
fof(f1699,plain,
( ~ sQ36_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f1665]) ).
fof(f1700,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1703,plain,
( sQ128_spl
| ~ sQ29_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f566,f1030]) ).
fof(f1707,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f566,f113]) ).
fof(f1709,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f93]) ).
fof(f1711,plain,
( sQ81_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f605,f779]) ).
fof(f1712,plain,
( sQ79_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f605,f772]) ).
fof(f1714,plain,
( sQ71_spl
| ~ sQ41_spl
| e0 != op(op(e1,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f605,f743]) ).
fof(f1715,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f115]) ).
fof(f1716,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f605,f119]) ).
fof(f1718,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f117]) ).
fof(f1719,plain,
( sQ127_spl
| ~ sQ29_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f566,f1026]) ).
fof(f1721,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f520,f107]) ).
fof(f1722,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f520,f104]) ).
fof(f1723,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f520,f97]) ).
fof(f1724,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f520,f106]) ).
fof(f1725,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1721,f506,f519]) ).
fof(f1726,plain,
( ~ sQ23_spl
| sQ127_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f1719]) ).
fof(f1727,plain,
( ~ sQ23_spl
| sQ127_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1728,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f605,f611]) ).
fof(f1729,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1728,f130]) ).
fof(f1730,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1729]) ).
fof(f1732,plain,
( ~ sQ27_spl
| sQ79_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f1712]) ).
fof(f1733,plain,
( ~ sQ27_spl
| sQ79_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1734,plain,
( ~ sQ57_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f1266]) ).
fof(f1735,plain,
( ~ sQ57_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1734]) ).
fof(f1736,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1735]) ).
fof(f1737,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1722,f480,f519]) ).
fof(f1738,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1723,f623,f519]) ).
fof(f1739,plain,
( ~ sQ127_spl
| ~ sQ30_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1262,f558,f568,f1024]) ).
fof(f1740,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1239,f529,f568]) ).
fof(f1741,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1240,f620,f568]) ).
fof(f1742,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1638,f549,f601]) ).
fof(f1743,plain,
( sQ128_spl
| ~ sQ29_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1703,f545,f565,f1028]) ).
fof(f1744,plain,
( sQ89_spl
| ~ sQ61_spl
| e2 != op(op(e1,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f670,f810]) ).
fof(f1745,plain,
( sQ73_spl
| ~ sQ61_spl
| e0 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f670,f750]) ).
fof(f1746,plain,
( sQ82_spl
| ~ sQ61_spl
| e1 != op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f670,f783]) ).
fof(f1747,plain,
( sQ77_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f670,f764]) ).
fof(f1750,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f124]) ).
fof(f1751,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f122]) ).
fof(f1752,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f101]) ).
fof(f1753,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f670,f98]) ).
fof(f1757,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f540,f88]) ).
fof(f1758,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f540,f112]) ).
fof(f1759,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f108]) ).
fof(f1763,plain,
( sQ75_spl
| ~ sQ21_spl
| e0 != op(op(e1,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f540,f757]) ).
fof(f1766,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1757,f643,f539]) ).
fof(f1767,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1758,f565,f539]) ).
fof(f1772,plain,
( sQ75_spl
| ~ sQ21_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1763,f804,f539,f755]) ).
fof(f1775,plain,
( ~ sQ65_spl
| ~ sQ62_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1623,f662,f672,f714]) ).
fof(f1776,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f670,f673]) ).
fof(f1777,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1776,f129]) ).
fof(f1778,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1777]) ).
fof(f1779,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1667,f500,f604]) ).
fof(f1780,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1709,f552,f604]) ).
fof(f1781,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1716,f617,f604]) ).
fof(f1783,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1672,f653,f666]) ).
fof(f1784,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1675,f516,f666,f762]) ).
fof(f1785,plain,
( sQ65_spl
| ~ sQ60_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1689,f636,f666,f714]) ).
fof(f1786,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1671,f640,f666]) ).
fof(f1787,plain,
( sQ65_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f670,f716]) ).
fof(f1788,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1238,f542,f568]) ).
fof(f1789,plain,
( ~ sQ30_spl
| sQ77_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f1747]) ).
fof(f1790,plain,
( ~ sQ30_spl
| sQ77_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1791,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1707,f552,f565]) ).
fof(f1797,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f654,f94]) ).
fof(f1799,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f595,f117]) ).
fof(f1802,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f595,f118]) ).
fof(f1803,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f595,f114]) ).
fof(f1804,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f595,f85]) ).
fof(f1805,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f524,f110]) ).
fof(f1808,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f524,f109]) ).
fof(f1809,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f524,f78]) ).
fof(f1810,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f524,f81]) ).
fof(f1815,plain,
( ~ sQ68_spl
| ~ sQ50_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f634,f729]) ).
fof(f1820,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f524,f108]) ).
fof(f1822,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f517,f96]) ).
fof(f1830,plain,
( ~ sQ158_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f485,f1197]) ).
fof(f1833,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f485,f102]) ).
fof(f1845,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f517,f98]) ).
fof(f1853,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f615,f99]) ).
fof(f1856,plain,
( ~ sQ70_spl
| ~ sQ56_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f654,f737]) ).
fof(f1857,plain,
( sQ114_spl
| ~ sQ41_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f605,f944]) ).
fof(f1862,plain,
( sQ80_spl
| ~ sQ41_spl
| e1 != op(op(e1,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f605,f776]) ).
fof(f1865,plain,
( sQ114_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1857,f594,f604,f942]) ).
fof(f1868,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ26_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f1862]) ).
fof(f1869,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ26_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f605,f1868]) ).
fof(f1870,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1869]) ).
fof(f1871,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( sQ146_spl
| ~ sQ14_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f517,f1135]) ).
fof(f1873,plain,
( sQ147_spl
| ~ sQ14_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f517,f1139]) ).
fof(f1879,plain,
( sQ82_spl
| ~ sQ69_spl
| ~ sQ55_spl
| e1 != op(op(e1,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f1527,f783]) ).
fof(f1885,plain,
( sQ82_spl
| ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1879,f1032,f649,f732,f781]) ).
fof(f1896,plain,
( sQ85_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f475,f793]) ).
fof(f1899,plain,
( sQ86_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f475,f798]) ).
fof(f1900,plain,
( sQ90_spl
| ~ sQ1_spl
| e2 != op(op(e1,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f475,f814]) ).
fof(f1902,plain,
( sQ85_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1896,f529,f474,f791]) ).
fof(f1920,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ31_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f572,f1746]) ).
fof(f1924,plain,
( ~ sQ82_spl
| ~ sQ69_spl
| ~ sQ55_spl
| e1 = op(op(e1,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f1527,f782]) ).
fof(f1933,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f585,f115]) ).
fof(f1937,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f585,f83]) ).
fof(f1947,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f647,f650]) ).
fof(f1948,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1947,f131]) ).
fof(f1949,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1956,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f647,f124]) ).
fof(f1958,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f647,f733]) ).
fof(f1964,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1659,f562,f536]) ).
fof(f1965,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1853,f562,f614]) ).
fof(f1968,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f647,f1575]) ).
fof(f1970,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f657,f125]) ).
fof(f1984,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f488,f105]) ).
fof(f1985,plain,
( ~ sQ158_spl
| ~ sQ5_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f488,f1197]) ).
fof(f1989,plain,
( ~ sQ158_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1985,f526,f487,f1196]) ).
fof(f1990,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1523,f493,f649]) ).
fof(f1991,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1845,f672,f516]) ).
fof(f1993,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1616,f659,f672]) ).
fof(f1994,plain,
( sQ74_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1617,f617,f672,f751]) ).
fof(f1995,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f488,f86]) ).
fof(f1996,plain,
( sQ147_spl
| ~ sQ14_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1873,f584,f516,f1137]) ).
fof(f1997,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1984,f500,f487]) ).
fof(f1998,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1797,f549,f653]) ).
fof(f1999,plain,
( ~ sQ108_spl
| ~ sQ45_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1265,f597,f617,f915]) ).
fof(f2000,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1933,f610,f584]) ).
fof(f2002,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f488,f494]) ).
fof(f2003,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f130]) ).
fof(f2004,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( sQ158_spl
| ~ sQ5_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f488,f1198]) ).
fof(f2007,plain,
( ~ sQ159_spl
| ~ sQ5_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f488,f1201]) ).
fof(f2008,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1715,f578,f604]) ).
fof(f2010,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1711,f549,f604,f777]) ).
fof(f2012,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1751,f630,f669]) ).
fof(f2016,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f1664,f1200,f536,f755]) ).
fof(f2018,plain,
( sQ159_spl
| ~ sQ5_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f488,f1202]) ).
fof(f2019,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f488,f85]) ).
fof(f2020,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f488,f106]) ).
fof(f2024,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f88]) ).
fof(f2038,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f598,f118]) ).
fof(f2047,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f537,f111]) ).
fof(f2064,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f579,f79]) ).
fof(f2066,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f579,f81]) ).
fof(f2071,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f566,f100]) ).
fof(f2082,plain,
( sQ93_spl
| ~ sQ40_spl
| e3 != op(op(e0,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f602,f828]) ).
fof(f2098,plain,
( sQ94_spl
| ~ sQ2_spl
| e3 != op(op(e2,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f478,f832]) ).
fof(f2099,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f478,f78]) ).
fof(f2101,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f579,f2098]) ).
fof(f2106,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f511,f97]) ).
fof(f2109,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f511,f98]) ).
fof(f2110,plain,
( sQ146_spl
| ~ sQ12_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f511,f1135]) ).
fof(f2111,plain,
( sQ147_spl
| ~ sQ12_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f511,f1139]) ).
fof(f2122,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f507,f1643]) ).
fof(f2126,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2122,f656,f506,f601,f774]) ).
fof(f2132,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2109,f666,f510]) ).
fof(f2138,plain,
( sQ147_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2111,f480,f510,f1137]) ).
fof(f2139,plain,
( sQ146_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2110,f480,f510,f1133]) ).
fof(f2140,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f511,f104]) ).
fof(f2141,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1759,f526,f539]) ).
fof(f2142,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1833,f471,f484]) ).
fof(f2143,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1804,f490,f594]) ).
fof(f2145,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1802,f620,f594]) ).
fof(f2146,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1803,f581,f594]) ).
fof(f2147,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2071,f669,f565]) ).
fof(f2149,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1970,f669,f656]) ).
fof(f2155,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2047,f549,f536]) ).
fof(f2157,plain,
( sQ159_spl
| ~ sQ5_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2018,f536,f487,f1200]) ).
fof(f2159,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1956,f672,f646]) ).
fof(f2162,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1968,f588,f646,f545,f755]) ).
fof(f2164,plain,
( ~ sQ159_spl
| ~ sQ5_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2007,f536,f487,f1200]) ).
fof(f2165,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1752,f617,f669]) ).
fof(f2166,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1750,f643,f669]) ).
fof(f2168,plain,
( ~ sQ128_spl
| ~ sQ30_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1264,f597,f568,f1028]) ).
fof(f2169,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1648,f588,f601]) ).
fof(f2170,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1642,f506,f601,f770]) ).
fof(f2171,plain,
( sQ71_spl
| ~ sQ40_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f1644,f1175,f601,f741]) ).
fof(f2172,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1673,f513,f666,f751]) ).
fof(f2173,plain,
( ~ sQ68_spl
| ~ sQ50_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1815,f653,f633,f728]) ).
fof(f2174,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1809,f471,f523]) ).
fof(f2175,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2099,f529,f477]) ).
fof(f2176,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1603,f484,f497]) ).
fof(f2177,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1799,f607,f594]) ).
fof(f2179,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2106,f614,f510]) ).
fof(f2180,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2140,f471,f510]) ).
fof(f2181,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1995,f643,f487]) ).
fof(f2182,plain,
( sQ65_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1787,f649,f669,f714]) ).
fof(f2190,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f589,f89]) ).
fof(f2197,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f481,f80]) ).
fof(f2202,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f530,f81]) ).
fof(f2203,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f530,f108]) ).
fof(f2211,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f579,f83]) ).
fof(f2220,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f106]) ).
fof(f2227,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f611,f119]) ).
fof(f2229,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f611,f95]) ).
fof(f2235,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f90]) ).
fof(f2241,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f491,f84]) ).
fof(f2246,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f1153]) ).
fof(f2251,plain,
( ~ sQ151_spl
| ~ sQ6_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f491,f1157]) ).
fof(f2253,plain,
( sQ80_spl
| ~ sQ43_spl
| e1 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f611,f776]) ).
fof(f2256,plain,
( sQ69_spl
| ~ sQ55_spl
| op(e3,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f650,f734]) ).
fof(f2261,plain,
( sQ69_spl
| ~ sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2256,f669,f649,f732]) ).
fof(f2264,plain,
( sQ91_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f481,f817]) ).
fof(f2266,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f650,f733]) ).
fof(f2267,plain,
( ~ sQ82_spl
| ~ sQ69_spl
| ~ sQ55_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1924,f1032,f649,f732,f781]) ).
fof(f2269,plain,
( sQ158_spl
| ~ sQ6_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f491,f1198]) ).
fof(f2270,plain,
( sQ158_spl
| ~ sQ6_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f579,f2269]) ).
fof(f2271,plain,
( sQ158_spl
| ~ sQ6_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2270]) ).
fof(f2272,plain,
( sQ158_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2273,plain,
( sQ159_spl
| ~ sQ6_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f491,f1202]) ).
fof(f2274,plain,
( sQ159_spl
| ~ sQ6_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f589,f2273]) ).
fof(f2275,plain,
( sQ159_spl
| ~ sQ6_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2274]) ).
fof(f2276,plain,
( sQ159_spl
| ~ sQ6_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2282,plain,
( sQ72_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f611,f746]) ).
fof(f2283,plain,
( ~ sQ131_spl
| ~ sQ18_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f530,f1044]) ).
fof(f2284,plain,
( ~ sQ143_spl
| ~ sQ18_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f1114]) ).
fof(f2285,plain,
( ~ sQ100_spl
| ~ sQ55_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f650,f867]) ).
fof(f2290,plain,
( ~ sQ112_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f579,f935]) ).
fof(f2291,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f589,f939]) ).
fof(f2292,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f611,f943]) ).
fof(f2293,plain,
( ~ sQ79_spl
| ~ sQ43_spl
| e3 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f611,f771]) ).
fof(f2294,plain,
( ~ sQ79_spl
| ~ sQ43_spl
| sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2293,f664]) ).
fof(f2295,plain,
( ~ sQ79_spl
| ~ sQ43_spl
| sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2296,plain,
( ~ sQ133_spl
| ~ sQ24_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f550,f1052]) ).
fof(f2297,plain,
( ~ sQ158_spl
| ~ sQ6_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f491,f1197]) ).
fof(f2298,plain,
( ~ sQ158_spl
| ~ sQ4_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1830,f474,f484,f1196]) ).
fof(f2299,plain,
( ~ sQ159_spl
| ~ sQ6_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f491,f1201]) ).
fof(f2300,plain,
( ~ sQ155_spl
| ~ sQ151_spl
| ~ sQ6_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f2251,f1176]) ).
fof(f2357,plain,
( ~ sQ65_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f670,f715]) ).
fof(f2359,plain,
( sQ108_spl
| ~ sQ46_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f621,f917]) ).
fof(f2360,plain,
( sQ108_spl
| ~ sQ46_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f611,f2359]) ).
fof(f2361,plain,
( sQ108_spl
| ~ sQ46_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2360]) ).
fof(f2362,plain,
( sQ108_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2361]) ).
fof(f2378,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f628,f631]) ).
fof(f2379,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2378,f126]) ).
fof(f2380,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2379]) ).
fof(f2390,plain,
( sQ83_spl
| ~ sQ69_spl
| ~ sQ55_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f2266,f786]) ).
fof(f2392,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f2266,f98]) ).
fof(f2397,plain,
( ~ sQ114_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f605,f943]) ).
fof(f2407,plain,
( ~ sQ68_spl
| ~ sQ50_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f634,f729]) ).
fof(f2428,plain,
( ~ sQ146_spl
| ~ sQ14_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f517,f1134]) ).
fof(f2429,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| op(e2,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f517,f1138]) ).
fof(f2452,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f507,f92]) ).
fof(f2453,plain,
( ~ sQ152_spl
| ~ sQ11_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f507,f1161]) ).
fof(f2501,plain,
( ~ sQ114_spl
| ~ sQ41_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f2397,f118]) ).
fof(f2525,plain,
( ~ sQ108_spl
| ~ sQ44_spl
| op(e2,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f615,f916]) ).
fof(f2526,plain,
( sQ110_spl
| ~ sQ44_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f615,f925]) ).
fof(f2527,plain,
( sQ110_spl
| ~ sQ44_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2526,f516,f614,f923]) ).
fof(f2528,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1666,f562,f666]) ).
fof(f2532,plain,
( sQ72_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2282,f656,f610,f744]) ).
fof(f2533,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2292,f620,f610,f942]) ).
fof(f2537,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2291,f578,f588,f938]) ).
fof(f2539,plain,
( ~ sQ147_spl
| ~ sQ15_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1450,f636,f519,f1137]) ).
fof(f2545,plain,
( ~ sQ65_spl
| ~ sQ61_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2357,f649,f669,f714]) ).
fof(f2550,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1958,f656,f646,f732]) ).
fof(f2551,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1822,f568,f516]) ).
fof(f2555,plain,
( ~ sQ70_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1856,f633,f653,f736]) ).
fof(f2557,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1286,f532,f558]) ).
fof(f2558,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2064,f474,f578]) ).
fof(f2560,plain,
( sQ91_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2264,f630,f480,f815]) ).
fof(f2561,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2246,f510,f480,f1152]) ).
fof(f2562,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2235,f497,f549]) ).
fof(f2563,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| e0 = op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f540,f756]) ).
fof(f2564,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| e0 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f540,f2563]) ).
fof(f2565,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2220,f484,f510]) ).
fof(f2576,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f485,f84]) ).
fof(f2582,plain,
( sQ151_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f485,f1158]) ).
fof(f2584,plain,
( sQ151_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2582,f474,f484,f1156]) ).
fof(f2586,plain,
( sQ113_spl
| ~ sQ38_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f595,f940]) ).
fof(f2587,plain,
( sQ158_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f485,f1198]) ).
fof(f2588,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2564,f536,f539,f755]) ).
fof(f2590,plain,
( sQ120_spl
| ~ sQ38_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f595,f981]) ).
fof(f2591,plain,
( sQ120_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f595,f2590]) ).
fof(f2592,plain,
( sQ120_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2591]) ).
fof(f2593,plain,
( sQ120_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2592]) ).
fof(f2599,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f113]) ).
fof(f2625,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f660,f95]) ).
fof(f2631,plain,
( sQ93_spl
| ~ sQ81_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f778,f828]) ).
fof(f2636,plain,
( sQ90_spl
| ~ sQ161_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1219,f814]) ).
fof(f2637,plain,
( sQ84_spl
| ~ sQ161_spl
| e1 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1219,f790]) ).
fof(f2638,plain,
( sQ94_spl
| ~ sQ161_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f1219,f832]) ).
fof(f2640,plain,
( sQ94_spl
| ~ sQ161_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2638,f480,f1218,f830]) ).
fof(f2647,plain,
( ~ sQ96_spl
| ~ sQ58_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f2651,f99]) ).
fof(f2651,plain,
( ~ sQ96_spl
| ~ sQ58_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f660,f842]) ).
fof(f2654,plain,
( sQ73_spl
| ~ sQ66_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f719,f750]) ).
fof(f2655,plain,
( ~ sQ72_spl
| ~ sQ81_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f778,f745]) ).
fof(f2656,plain,
( ~ sQ72_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2655,f126]) ).
fof(f2657,plain,
( ~ sQ72_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2656]) ).
fof(f2658,plain,
( sQ73_spl
| ~ sQ66_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2654,f666,f718,f748]) ).
fof(f2659,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1669,f614,f666]) ).
fof(f2662,plain,
( sQ158_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2587,f474,f484,f1196]) ).
fof(f2663,plain,
( ~ sQ133_spl
| ~ sQ24_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2296,f529,f549,f1051]) ).
fof(f2667,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1808,f549,f523]) ).
fof(f2669,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2197,f636,f480]) ).
fof(f2670,plain,
( ~ sQ131_spl
| ~ sQ18_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2283,f549,f529,f1043]) ).
fof(f2672,plain,
( ~ sQ155_spl
| ~ sQ151_spl
| ~ sQ6_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2300,f549,f490,f1156,f1175]) ).
fof(f2673,plain,
( ~ sQ112_spl
| ~ sQ33_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2290,f588,f578,f934]) ).
fof(f2674,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2038,f623,f597]) ).
fof(f2677,plain,
( sQ161_spl
| ~ sQ3_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f481,f1220]) ).
fof(f2686,plain,
( sQ161_spl
| ~ sQ3_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2677,f627,f480,f1218]) ).
fof(f2687,plain,
( sQ113_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2586,f604,f594,f938]) ).
fof(f2688,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2576,f536,f484]) ).
fof(f2690,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1820,f536,f523]) ).
fof(f2691,plain,
( sQ84_spl
| ~ sQ161_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2637,f474,f1218,f788]) ).
fof(f2694,plain,
( sQ89_spl
| ~ sQ77_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f763,f810]) ).
fof(f2695,plain,
( sQ82_spl
| ~ sQ77_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f763,f783]) ).
fof(f2696,plain,
( sQ89_spl
| ~ sQ77_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2694,f620,f762,f808]) ).
fof(f2698,plain,
( sQ85_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f481,f793]) ).
fof(f2733,plain,
( sQ71_spl
| ~ sQ43_spl
| e0 != op(op(e3,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f611,f743]) ).
fof(f2736,plain,
( sQ81_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f611,f779]) ).
fof(f2747,plain,
( sQ129_spl
| ~ sQ29_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f566,f1034]) ).
fof(f2752,plain,
( sQ129_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2747,f565,f1032]) ).
fof(f2753,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1682,f584,f666,f714]) ).
fof(f2754,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1937,f636,f584]) ).
fof(f2755,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1724,f493,f519]) ).
fof(f2756,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2066,f526,f578]) ).
fof(f2759,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f527,f82]) ).
fof(f2761,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f527,f109]) ).
fof(f2766,plain,
( sQ84_spl
| ~ sQ3_spl
| e1 != op(op(e3,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f481,f790]) ).
fof(f2767,plain,
( sQ90_spl
| ~ sQ3_spl
| e2 != op(op(e3,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f481,f814]) ).
fof(f2768,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f481,f102]) ).
fof(f2827,plain,
( sQ150_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f481,f1154]) ).
fof(f2833,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f504,f91]) ).
fof(f2837,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f504,f92]) ).
fof(f2840,plain,
( sQ155_spl
| ~ sQ10_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f504,f1177]) ).
fof(f2855,plain,
( sQ127_spl
| ~ sQ30_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f569,f1026]) ).
fof(f2858,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f569,f100]) ).
fof(f2860,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f569,f113]) ).
fof(f2863,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f647,f733]) ).
fof(f2872,plain,
( sQ133_spl
| ~ sQ24_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f550,f1053]) ).
fof(f2885,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f615,f116]) ).
fof(f2887,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f615,f118]) ).
fof(f2890,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ57_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f657,f2733]) ).
fof(f2895,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ57_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2890,f549,f656,f610,f741]) ).
fof(f2896,plain,
( sQ93_spl
| ~ sQ43_spl
| e3 != op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f611,f828]) ).
fof(f2897,plain,
( sQ92_spl
| ~ sQ23_spl
| e3 != op(op(e3,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f546,f824]) ).
fof(f2915,plain,
( sQ135_spl
| ~ sQ24_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f550,f1064]) ).
fof(f2917,plain,
( sQ142_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f527,f1111]) ).
fof(f2919,plain,
( ~ sQ116_spl
| ~ sQ43_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f611,f954]) ).
fof(f2923,plain,
( ~ sQ132_spl
| ~ sQ23_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f546,f1048]) ).
fof(f2952,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f478,f103]) ).
fof(f2957,plain,
( sQ150_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f478,f1154]) ).
fof(f2980,plain,
( sQ93_spl
| ~ sQ43_spl
| ~ sQ58_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f660,f2896]) ).
fof(f2982,plain,
( sQ93_spl
| ~ sQ58_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2980,f610,f659,f826]) ).
fof(f2983,plain,
( ~ sQ93_spl
| ~ sQ43_spl
| e3 = op(op(e3,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f611,f827]) ).
fof(f2986,plain,
( ~ sQ154_spl
| ~ sQ9_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f501,f1172]) ).
fof(f2987,plain,
( ~ sQ154_spl
| ~ sQ9_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2986,f529,f500,f1171]) ).
fof(f2988,plain,
( sQ154_spl
| ~ sQ9_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f501,f1173]) ).
fof(f3003,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ53_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f644,f2897]) ).
fof(f3005,plain,
( sQ92_spl
| ~ sQ53_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3003,f545,f643,f822]) ).
fof(f3025,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f501,f107]) ).
fof(f3028,plain,
( sQ66_spl
| ~ sQ60_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f667,f720]) ).
fof(f3029,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f520,f3028]) ).
fof(f3030,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3029]) ).
fof(f3031,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3030]) ).
fof(f3036,plain,
( sQ161_spl
| ~ sQ2_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f478,f1220]) ).
fof(f3037,plain,
( sQ161_spl
| ~ sQ2_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f576,f3036]) ).
fof(f3038,plain,
( sQ161_spl
| ~ sQ2_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3037]) ).
fof(f3039,plain,
( sQ161_spl
| ~ sQ2_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3040,plain,
( sQ90_spl
| ~ sQ161_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2636,f477,f1218,f812]) ).
fof(f3044,plain,
( sQ155_spl
| ~ sQ9_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f501,f1177]) ).
fof(f3045,plain,
( sQ155_spl
| ~ sQ9_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f550,f3044]) ).
fof(f3046,plain,
( sQ155_spl
| ~ sQ9_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3045]) ).
fof(f3047,plain,
( sQ155_spl
| ~ sQ9_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3046]) ).
fof(f3048,plain,
( ~ sQ155_spl
| ~ sQ9_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f501,f1176]) ).
fof(f3055,plain,
( sQ112_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f576,f936]) ).
fof(f3056,plain,
( sQ112_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f576,f3055]) ).
fof(f3057,plain,
( sQ112_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3056]) ).
fof(f3058,plain,
( sQ112_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3057]) ).
fof(f3072,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2452,f662,f506]) ).
fof(f3076,plain,
( sQ69_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f644,f734]) ).
fof(f3077,plain,
( sQ69_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f644,f3076]) ).
fof(f3078,plain,
( sQ69_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3077]) ).
fof(f3079,plain,
( sQ69_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3078]) ).
fof(f3080,plain,
( ~ sQ116_spl
| ~ sQ43_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f2919,f659,f610,f953]) ).
fof(f3082,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2227,f623,f610]) ).
fof(f3083,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2229,f662,f610]) ).
fof(f3087,plain,
( sQ150_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2957,f497,f477,f1152]) ).
fof(f3088,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2101,f532,f578,f477,f830]) ).
fof(f3089,plain,
( ~ sQ155_spl
| ~ sQ9_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3048,f549,f500,f1175]) ).
fof(f3090,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2858,f672,f568]) ).
fof(f3091,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2860,f555,f568]) ).
fof(f3096,plain,
( ~ sQ136_spl
| ~ sQ26_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1451,f604,f555,f1066]) ).
fof(f3097,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2211,f630,f578]) ).
fof(f3098,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2887,f588,f614]) ).
fof(f3099,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3025,f513,f500]) ).
fof(f3101,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2190,f640,f588]) ).
fof(f3102,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1746,f1032,f669,f781]) ).
fof(f3103,plain,
( sQ82_spl
| ~ sQ31_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1920,f669,f571,f781]) ).
fof(f3104,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1718,f591,f604]) ).
fof(f3105,plain,
( ~ sQ159_spl
| ~ sQ6_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2299,f588,f490,f1200]) ).
fof(f3106,plain,
( ~ sQ108_spl
| ~ sQ44_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2525,f584,f614,f915]) ).
fof(f3107,plain,
( ~ sQ135_spl
| ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1452,f594,f555,f1062]) ).
fof(f3108,plain,
( sQ155_spl
| ~ sQ10_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2840,f601,f503,f1175]) ).
fof(f3109,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1753,f513,f669]) ).
fof(f3110,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2241,f542,f490]) ).
fof(f3111,plain,
( ~ sQ158_spl
| ~ sQ6_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2297,f578,f490,f1196]) ).
fof(f3112,plain,
( ~ sQ151_spl
| ~ sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2251,f500,f490,f1156]) ).
fof(f3113,plain,
( ~ sQ152_spl
| ~ sQ11_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f2453,f516,f506,f1160]) ).
fof(f3114,plain,
( ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2392,f513,f649,f732]) ).
fof(f3115,plain,
( sQ83_spl
| ~ sQ69_spl
| ~ sQ55_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2390,f562,f649,f732,f784]) ).
fof(f3116,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2203,f542,f529]) ).
fof(f3122,plain,
( sQ114_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f602,f944]) ).
fof(f3148,plain,
( sQ131_spl
| ~ sQ18_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f530,f1045]) ).
fof(f3152,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f475,f1153]) ).
fof(f3160,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f475,f104]) ).
fof(f3163,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f3152,f484,f474,f1152]) ).
fof(f3176,plain,
( sQ161_spl
| ~ sQ1_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f475,f1220]) ).
fof(f3207,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f491,f105]) ).
fof(f3208,plain,
( ~ sQ80_spl
| ~ sQ71_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f742,f775]) ).
fof(f3209,plain,
( ~ sQ80_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3208,f126]) ).
fof(f3210,plain,
( ~ sQ80_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3209]) ).
fof(f3212,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| e0 = op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f673,f785]) ).
fof(f3218,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3212,f614,f672,f784]) ).
fof(f3238,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f111]) ).
fof(f3239,plain,
( sQ87_spl
| ~ sQ23_spl
| e2 != op(op(e3,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f546,f803]) ).
fof(f3247,plain,
( sQ135_spl
| ~ sQ26_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f1064]) ).
fof(f3249,plain,
( sQ136_spl
| ~ sQ26_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f556,f1068]) ).
fof(f3253,plain,
( sQ136_spl
| ~ sQ26_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3249,f604,f555,f1066]) ).
fof(f3262,plain,
( sQ152_spl
| ~ sQ11_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f507,f1162]) ).
fof(f3279,plain,
( ~ sQ120_spl
| ~ sQ36_spl
| op(e0,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f589,f980]) ).
fof(f3284,plain,
( sQ65_spl
| ~ sQ62_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f673,f716]) ).
fof(f3285,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f644,f120]) ).
fof(f3303,plain,
( sQ97_spl
| ~ sQ56_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f654,f847]) ).
fof(f3304,plain,
( sQ97_spl
| ~ sQ56_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3303,f506,f653,f845]) ).
fof(f3309,plain,
( sQ151_spl
| ~ sQ6_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f491,f1158]) ).
fof(f3314,plain,
( sQ110_spl
| ~ sQ47_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f624,f925]) ).
fof(f3315,plain,
( ~ sQ109_spl
| ~ sQ47_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f624,f920]) ).
fof(f3320,plain,
( sQ110_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3314,f672,f623,f923]) ).
fof(f3321,plain,
( ~ sQ109_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3315,f662,f623,f919]) ).
fof(f3322,plain,
( sQ109_spl
| ~ sQ47_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f624,f921]) ).
fof(f3324,plain,
( ~ sQ110_spl
| ~ sQ47_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f624,f924]) ).
fof(f3329,plain,
( ~ sQ16_spl
| sQ161_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f3176]) ).
fof(f3330,plain,
( ~ sQ16_spl
| sQ161_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3329]) ).
fof(f3331,plain,
( ~ sQ84_spl
| ~ sQ1_spl
| e1 = op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f475,f789]) ).
fof(f3342,plain,
( ~ sQ112_spl
| ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f582,f935]) ).
fof(f3344,plain,
( ~ sQ112_spl
| ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3342,f601,f581,f934]) ).
fof(f3347,plain,
( ~ sQ93_spl
| ~ sQ43_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2983,f845,f610,f826]) ).
fof(f3350,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2736,f653,f610,f777]) ).
fof(f3352,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f654,f2253]) ).
fof(f3355,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2698,f633,f480,f791]) ).
fof(f3366,plain,
( ~ sQ132_spl
| ~ sQ23_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2923,f565,f545,f1047]) ).
fof(f3393,plain,
( sQ116_spl
| ~ sQ43_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f611,f955]) ).
fof(f3463,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f634,f2766]) ).
fof(f3467,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3463,f578,f633,f480,f788]) ).
fof(f3470,plain,
( sQ135_spl
| ~ sQ26_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3247,f594,f555,f1062]) ).
fof(f3471,plain,
( ~ sQ146_spl
| ~ sQ14_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f2428,f506,f516,f1133]) ).
fof(f3474,plain,
( ~ sQ9_spl
| sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f3352]) ).
fof(f3475,plain,
( ~ sQ9_spl
| sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3474]) ).
fof(f3476,plain,
( sQ154_spl
| ~ sQ9_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2988,f529,f500,f1171]) ).
fof(f3478,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2759,f630,f526]) ).
fof(f3484,plain,
( sQ131_spl
| ~ sQ18_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3148,f549,f529,f1043]) ).
fof(f3487,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2599,f562,f549]) ).
fof(f3492,plain,
( sQ133_spl
| ~ sQ24_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2872,f529,f549,f1051]) ).
fof(f3500,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3285,f630,f643]) ).
fof(f3502,plain,
( ~ sQ91_spl
| ~ sQ3_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f481,f816]) ).
fof(f3530,plain,
( sQ108_spl
| ~ sQ45_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f618,f917]) ).
fof(f3551,plain,
( ~ sQ127_spl
| ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1025]) ).
fof(f3556,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f576,f79]) ).
fof(f3567,plain,
( ~ sQ127_spl
| ~ sQ28_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f3551,f108]) ).
fof(f3568,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f641,f88]) ).
fof(f3574,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f475,f80]) ).
fof(f3582,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ28_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f3551,f1900]) ).
fof(f3592,plain,
( ~ sQ50_spl
| sQ90_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f3582]) ).
fof(f3593,plain,
( ~ sQ50_spl
| sQ90_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3592]) ).
fof(f3594,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f641,f3239]) ).
fof(f3596,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3238,f558,f545]) ).
fof(f3598,plain,
( sQ150_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2827,f510,f480,f1152]) ).
fof(f3601,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3207,f503,f490]) ).
fof(f3608,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2202,f581,f529]) ).
fof(f3611,plain,
( sQ69_spl
| ~ sQ52_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f641,f734]) ).
fof(f3612,plain,
( sQ109_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3322,f662,f623,f919]) ).
fof(f3613,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2019,f591,f487]) ).
fof(f3616,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2833,f607,f503]) ).
fof(f3617,plain,
( sQ100_spl
| ~ sQ52_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f641,f868]) ).
fof(f3618,plain,
( sQ65_spl
| ~ sQ62_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3284,f662,f672,f714]) ).
fof(f3619,plain,
( sQ116_spl
| ~ sQ43_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3393,f659,f610,f953]) ).
fof(f3629,plain,
( ~ sQ96_spl
| ~ sQ58_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2651,f620,f659,f841]) ).
fof(f3630,plain,
( ~ sQ96_spl
| ~ sQ58_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2647,f568,f659,f841]) ).
fof(f3631,plain,
( ~ sQ100_spl
| ~ sQ52_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f641,f867]) ).
fof(f3632,plain,
( sQ151_spl
| ~ sQ6_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3309,f500,f490,f1156]) ).
fof(f3633,plain,
( ~ sQ110_spl
| ~ sQ47_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3324,f672,f623,f923]) ).
fof(f3634,plain,
( sQ158_spl
| ~ sQ5_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2005,f526,f487,f1196]) ).
fof(f3663,plain,
( sQ128_spl
| ~ sQ30_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1030]) ).
fof(f3665,plain,
( sQ129_spl
| ~ sQ30_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f569,f1034]) ).
fof(f3679,plain,
( sQ83_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f670,f786]) ).
fof(f3687,plain,
( sQ73_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f569,f1745]) ).
fof(f3719,plain,
( ~ sQ96_spl
| ~ sQ68_spl
| ~ sQ50_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f2407,f842]) ).
fof(f3723,plain,
( ~ sQ96_spl
| ~ sQ68_spl
| ~ sQ50_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f3719,f516,f633,f728,f841]) ).
fof(f3724,plain,
( sQ68_spl
| ~ sQ50_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f634,f730]) ).
fof(f3739,plain,
( sQ76_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f537,f760]) ).
fof(f3756,plain,
( ~ sQ131_spl
| ~ sQ17_spl
| op(e1,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f527,f1044]) ).
fof(f3772,plain,
( sQ70_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f654,f738]) ).
fof(f3773,plain,
( sQ70_spl
| ~ sQ56_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f634,f3772]) ).
fof(f3774,plain,
( sQ70_spl
| ~ sQ56_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3773]) ).
fof(f3775,plain,
( sQ70_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3774]) ).
fof(f3784,plain,
( ~ sQ85_spl
| ~ sQ3_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f481,f792]) ).
fof(f3797,plain,
( ~ sQ75_spl
| ~ sQ20_spl
| e0 = op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f537,f756]) ).
fof(f3799,plain,
( sQ71_spl
| ~ sQ41_spl
| ~ sQ27_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f559,f1714]) ).
fof(f3800,plain,
( sQ71_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f654,f3799]) ).
fof(f3801,plain,
( sQ71_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3800]) ).
fof(f3802,plain,
( sQ71_spl
| ~ sQ41_spl
| ~ sQ27_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3801]) ).
fof(f3806,plain,
( sQ114_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3122,f581,f601,f942]) ).
fof(f3810,plain,
( sQ129_spl
| ~ sQ30_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3665,f617,f568,f1032]) ).
fof(f3813,plain,
( sQ108_spl
| ~ sQ45_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3530,f597,f617,f915]) ).
fof(f3823,plain,
( sQ128_spl
| ~ sQ30_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3663,f597,f568,f1028]) ).
fof(f3827,plain,
( sQ78_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f537,f768]) ).
fof(f3830,plain,
( ~ sQ94_spl
| ~ sQ3_spl
| e3 = op(op(e3,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f481,f831]) ).
fof(f3831,plain,
( sQ127_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2855,f558,f568,f1024]) ).
fof(f3837,plain,
( ~ sQ128_spl
| ~ sQ30_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1029]) ).
fof(f3838,plain,
( sQ131_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f527,f1045]) ).
fof(f3839,plain,
( sQ131_spl
| ~ sQ17_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f537,f3838]) ).
fof(f3840,plain,
( sQ131_spl
| ~ sQ17_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3839]) ).
fof(f3841,plain,
( sQ131_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3840]) ).
fof(f3843,plain,
( ~ sQ132_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f537,f1048]) ).
fof(f3850,plain,
( sQ151_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f1158]) ).
fof(f3851,plain,
( sQ151_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3850,f487,f1156]) ).
fof(f3870,plain,
( sQ68_spl
| ~ sQ48_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f628,f730]) ).
fof(f3871,plain,
( sQ68_spl
| ~ sQ48_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f628,f3870]) ).
fof(f3872,plain,
( sQ68_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3871]) ).
fof(f3873,plain,
( sQ68_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f3872]) ).
fof(f3885,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f644,f89]) ).
fof(f3900,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f608,f119]) ).
fof(f3909,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f501,f103]) ).
fof(f3939,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f618,f97]) ).
fof(f3951,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| op(e2,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f517,f1138]) ).
fof(f3959,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f2429,f81]) ).
fof(f3985,plain,
( ~ sQ158_spl
| ~ sQ7_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f494,f1197]) ).
fof(f3991,plain,
( ~ sQ158_spl
| ~ sQ7_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3985,f630,f493,f1196]) ).
fof(f3995,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f501,f2082]) ).
fof(f3996,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f559,f3995]) ).
fof(f3997,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3996]) ).
fof(f3998,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3997]) ).
fof(f4005,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3909,f474,f500]) ).
fof(f4011,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f618,f1622]) ).
fof(f4018,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3574,f630,f474]) ).
fof(f4022,plain,
( ~ sQ84_spl
| ~ sQ1_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f3331,f1113,f474,f788]) ).
fof(f4027,plain,
( sQ110_spl
| ~ sQ45_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f618,f925]) ).
fof(f4028,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3939,f513,f617]) ).
fof(f4029,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2020,f513,f487]) ).
fof(f4030,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2625,f607,f659]) ).
fof(f4036,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3900,f620,f607]) ).
fof(f4037,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f618,f621]) ).
fof(f4038,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4037,f129]) ).
fof(f4039,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4038]) ).
fof(f4040,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1805,f562,f523]) ).
fof(f4041,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1810,f575,f523]) ).
fof(f4042,plain,
( ~ sQ100_spl
| ~ sQ55_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2285,f669,f649,f866]) ).
fof(f4043,plain,
( sQ86_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1899,f532,f474,f796]) ).
fof(f4044,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4011,f562,f617,f672,f748]) ).
fof(f4147,plain,
( sQ97_spl
| ~ sQ57_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f657,f847]) ).
fof(f4148,plain,
( sQ70_spl
| ~ sQ57_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f657,f738]) ).
fof(f4180,plain,
( ~ sQ27_spl
| sQ97_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f4147]) ).
fof(f4181,plain,
( ~ sQ27_spl
| sQ97_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4180]) ).
fof(f4183,plain,
( ~ sQ120_spl
| ~ sQ36_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f3279,f490,f588,f979]) ).
fof(f4196,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3679,f562,f669,f784]) ).
fof(f4218,plain,
( ~ sQ127_spl
| ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1025]) ).
fof(f4220,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f563,f1744]) ).
fof(f4254,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| e3 = op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f475,f797]) ).
fof(f4261,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| e1 = op(op(e1,e3),e3) ),
inference(backward_demodulation,[status(thm)],[f670,f782]) ).
fof(f4263,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e1 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f563,f4261]) ).
fof(f4264,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4263,f3160]) ).
fof(f4265,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f4264]) ).
fof(f4295,plain,
( sQ69_spl
| ~ sQ54_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f647,f734]) ).
fof(f4318,plain,
( sQ151_spl
| ~ sQ7_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f494,f1158]) ).
fof(f4328,plain,
( ~ sQ143_spl
| ~ sQ19_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f533,f1114]) ).
fof(f4331,plain,
( ~ sQ143_spl
| ~ sQ19_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4328,f630,f532,f1113]) ).
fof(f4339,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f533,f1900]) ).
fof(f4343,plain,
( sQ143_spl
| ~ sQ19_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f533,f1115]) ).
fof(f4351,plain,
( sQ97_spl
| ~ sQ59_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f663,f847]) ).
fof(f4352,plain,
( sQ70_spl
| ~ sQ59_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f663,f738]) ).
fof(f4355,plain,
( ~ sQ96_spl
| ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f663,f842]) ).
fof(f4356,plain,
( sQ97_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4351,f662,f845]) ).
fof(f4358,plain,
( ~ sQ96_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f4355,f672,f662,f841]) ).
fof(f4368,plain,
( sQ151_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4318,f513,f493,f1156]) ).
fof(f4380,plain,
( sQ132_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f540,f1049]) ).
fof(f4381,plain,
( sQ132_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f540,f4380]) ).
fof(f4382,plain,
( sQ132_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4381]) ).
fof(f4383,plain,
( sQ132_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4382]) ).
fof(f4386,plain,
( sQ70_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4352,f672,f662,f736]) ).
fof(f4387,plain,
( ~ sQ100_spl
| ~ sQ52_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f3631,f513,f640,f866]) ).
fof(f4388,plain,
( sQ158_spl
| ~ sQ7_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f494,f1198]) ).
fof(f4390,plain,
( sQ69_spl
| ~ sQ54_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4295,f656,f646,f732]) ).
fof(f4391,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2024,f542,f646]) ).
fof(f4393,plain,
( ~ sQ143_spl
| ~ sQ18_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2284,f578,f529,f1113]) ).
fof(f4394,plain,
( ~ sQ75_spl
| ~ sQ20_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3797,f1200,f536,f755]) ).
fof(f4395,plain,
( ~ sQ132_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3843,f526,f536,f1047]) ).
fof(f4396,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3739,f490,f536,f758]) ).
fof(f4430,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f4435,f92]) ).
fof(f4432,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f4435,f123]) ).
fof(f4433,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f4435,f121]) ).
fof(f4435,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f559,f1067]) ).
fof(f4436,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4430,f500,f558,f1066]) ).
fof(f4437,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4433,f630,f558,f1066]) ).
fof(f4439,plain,
( ~ sQ133_spl
| ~ sQ27_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f559,f1052]) ).
fof(f4440,plain,
( ~ sQ133_spl
| ~ sQ27_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f566,f4439]) ).
fof(f4441,plain,
( ~ sQ133_spl
| ~ sQ27_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f129]) ).
fof(f4442,plain,
( ~ sQ133_spl
| ~ sQ27_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4441]) ).
fof(f4467,plain,
( ~ sQ94_spl
| ~ sQ3_spl
| ~ sQ91_spl
| e3 = op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f3502,f3830]) ).
fof(f4470,plain,
( ~ sQ68_spl
| ~ sQ91_spl
| ~ sQ3_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f3502,f729]) ).
fof(f4476,plain,
( ~ sQ94_spl
| ~ sQ3_spl
| ~ sQ91_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f4467,f532,f815,f480,f830]) ).
fof(f4477,plain,
( ~ sQ68_spl
| ~ sQ91_spl
| ~ sQ3_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f4470,f640,f480,f815,f728]) ).
fof(f4479,plain,
( sQ69_spl
| ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3611,f630,f640,f732]) ).
fof(f4480,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3568,f536,f640]) ).
fof(f4482,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ91_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f3502,f2767]) ).
fof(f4553,plain,
( ~ sQ152_spl
| ~ sQ9_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f501,f1161]) ).
fof(f4558,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f673,f809]) ).
fof(f4603,plain,
( sQ136_spl
| ~ sQ24_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f550,f1068]) ).
fof(f4607,plain,
( sQ136_spl
| ~ sQ24_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4603,f500,f549,f1066]) ).
fof(f4608,plain,
( ~ sQ136_spl
| ~ sQ24_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f550,f1067]) ).
fof(f4643,plain,
( sQ100_spl
| ~ sQ53_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f644,f868]) ).
fof(f4645,plain,
( sQ100_spl
| ~ sQ53_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4643,f565,f643,f866]) ).
fof(f4646,plain,
( ~ sQ100_spl
| ~ sQ53_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f644,f867]) ).
fof(f4654,plain,
( sQ96_spl
| ~ sQ59_spl
| op(e3,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f663,f843]) ).
fof(f4655,plain,
( sQ96_spl
| ~ sQ59_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f673,f4654]) ).
fof(f4656,plain,
( sQ96_spl
| ~ sQ59_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4655]) ).
fof(f4657,plain,
( sQ96_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4656]) ).
fof(f4675,plain,
( ~ sQ65_spl
| ~ sQ62_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f673,f715]) ).
fof(f4701,plain,
( sQ112_spl
| ~ sQ33_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f579,f936]) ).
fof(f4702,plain,
( sQ112_spl
| ~ sQ33_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f589,f4701]) ).
fof(f4703,plain,
( sQ112_spl
| ~ sQ33_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4702]) ).
fof(f4704,plain,
( sQ112_spl
| ~ sQ33_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4703]) ).
fof(f4725,plain,
( sQ113_spl
| ~ sQ36_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f589,f940]) ).
fof(f4726,plain,
( sQ113_spl
| ~ sQ36_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f579,f4725]) ).
fof(f4727,plain,
( sQ113_spl
| ~ sQ36_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4726]) ).
fof(f4728,plain,
( sQ113_spl
| ~ sQ36_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f4727]) ).
fof(f4881,plain,
( sQ143_spl
| ~ sQ17_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1115]) ).
fof(f4882,plain,
( sQ143_spl
| ~ sQ17_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f527,f4881]) ).
fof(f4883,plain,
( sQ143_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4882]) ).
fof(f4884,plain,
( sQ143_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4883]) ).
fof(f4961,plain,
( ~ sQ142_spl
| ~ sQ18_spl
| op(e2,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f530,f1110]) ).
fof(f4962,plain,
( ~ sQ142_spl
| ~ sQ18_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f4961,f588,f529,f1109]) ).
fof(f4985,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2917,f536,f526,f1109]) ).
fof(f4987,plain,
( sQ82_spl
| ~ sQ77_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2695,f617,f762,f781]) ).
fof(f5026,plain,
( sQ92_spl
| ~ sQ20_spl
| e3 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f537,f824]) ).
fof(f5085,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| e0 = op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f667,f749]) ).
fof(f5145,plain,
( sQ68_spl
| ~ sQ49_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f631,f730]) ).
fof(f5151,plain,
( sQ147_spl
| ~ sQ15_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f520,f1139]) ).
fof(f5160,plain,
( ~ sQ131_spl
| ~ sQ19_spl
| op(e1,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f533,f1044]) ).
fof(f5164,plain,
( ~ sQ131_spl
| ~ sQ19_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f5160,f562,f532,f1043]) ).
fof(f5165,plain,
( sQ131_spl
| ~ sQ19_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f533,f1045]) ).
fof(f5170,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f660,f846]) ).
fof(f5175,plain,
( sQ96_spl
| ~ sQ58_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f660,f843]) ).
fof(f5185,plain,
( ~ sQ152_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f498,f1161]) ).
fof(f5192,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| e1 = op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f667,f782]) ).
fof(f5193,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ15_spl
| e1 = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f520,f5192]) ).
fof(f5194,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ15_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f667,f5193]) ).
fof(f5195,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5194,f126]) ).
fof(f5196,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f5195]) ).
fof(f5205,plain,
( sQ133_spl
| ~ sQ25_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f1053]) ).
fof(f5209,plain,
( ~ sQ30_spl
| ~ sQ104_spl
| ~ sQ49_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f5210,f569]) ).
fof(f5210,plain,
( ~ sQ104_spl
| ~ sQ49_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f631,f892]) ).
fof(f5211,plain,
( ~ sQ30_spl
| ~ sQ104_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5209,f127]) ).
fof(f5212,plain,
( ~ sQ30_spl
| ~ sQ104_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f5211]) ).
fof(f5213,plain,
( sQ104_spl
| ~ sQ49_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f631,f893]) ).
fof(f5214,plain,
( ~ sQ109_spl
| ~ sQ45_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f618,f920]) ).
fof(f5215,plain,
( ~ sQ109_spl
| ~ sQ45_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f5214]) ).
fof(f5216,plain,
( ~ sQ109_spl
| ~ sQ45_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5215,f130]) ).
fof(f5217,plain,
( ~ sQ109_spl
| ~ sQ45_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f5216]) ).
fof(f5218,plain,
( sQ136_spl
| ~ sQ25_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1068]) ).
fof(f5219,plain,
( sQ136_spl
| ~ sQ25_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f5218]) ).
fof(f5220,plain,
( sQ136_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5219]) ).
fof(f5221,plain,
( sQ136_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f5220]) ).
fof(f5232,plain,
( sQ68_spl
| ~ sQ49_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f5145,f640,f630,f728]) ).
fof(f5269,plain,
( sQ158_spl
| ~ sQ7_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4388,f630,f493,f1196]) ).
fof(f5277,plain,
( sQ100_spl
| ~ sQ52_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3617,f513,f640,f866]) ).
fof(f5279,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f595,f939]) ).
fof(f5287,plain,
( sQ105_spl
| ~ sQ49_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f631,f897]) ).
fof(f5288,plain,
( sQ105_spl
| ~ sQ49_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f533,f5287]) ).
fof(f5289,plain,
( sQ105_spl
| ~ sQ49_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5288]) ).
fof(f5290,plain,
( sQ105_spl
| ~ sQ49_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5289]) ).
fof(f5363,plain,
( sQ94_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f475,f832]) ).
fof(f5413,plain,
( sQ92_spl
| ~ sQ22_spl
| e3 != op(op(e2,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f543,f824]) ).
fof(f5479,plain,
( ~ sQ104_spl
| ~ sQ51_spl
| op(e3,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f637,f892]) ).
fof(f5481,plain,
( sQ105_spl
| ~ sQ51_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f637,f897]) ).
fof(f5485,plain,
( ~ sQ104_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f5479,f666,f636,f891]) ).
fof(f5486,plain,
( sQ105_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f5481,f636,f895]) ).
fof(f5488,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f5170,f610,f659,f845]) ).
fof(f5527,plain,
( sQ152_spl
| ~ sQ11_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3262,f516,f506,f1160]) ).
fof(f5546,plain,
( sQ127_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f572,f1026]) ).
fof(f5547,plain,
( sQ127_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f572,f5546]) ).
fof(f5548,plain,
( sQ127_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5547]) ).
fof(f5549,plain,
( sQ127_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f5548]) ).
fof(f5550,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ91_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4482,f529,f815,f480,f812]) ).
fof(f5554,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3594,f490,f640,f545,f801]) ).
fof(f5556,plain,
( sQ104_spl
| ~ sQ49_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5213,f562,f630,f891]) ).
fof(f5557,plain,
( ~ sQ127_spl
| ~ sQ28_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f4218,f532,f562,f1024]) ).
fof(f5560,plain,
( ~ sQ127_spl
| ~ sQ28_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3567,f545,f562,f1024]) ).
fof(f5561,plain,
( ~ sQ152_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f5185,f477,f497,f1160]) ).
fof(f5564,plain,
( sQ143_spl
| ~ sQ18_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f530,f1115]) ).
fof(f5610,plain,
( sQ94_spl
| ~ sQ1_spl
| e3 != op(op(e1,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f475,f832]) ).
fof(f5620,plain,
( sQ94_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f5610]) ).
fof(f5627,plain,
( sQ94_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f5363]) ).
fof(f5671,plain,
( ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ54_spl
| op(e1,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f2863,f846]) ).
fof(f5688,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| sQ94_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3951,f5627]) ).
fof(f5689,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| sQ94_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5688]) ).
fof(f5748,plain,
( sQ127_spl
| ~ sQ28_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1026]) ).
fof(f5794,plain,
( sQ146_spl
| ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f514,f1135]) ).
fof(f5797,plain,
( ~ sQ147_spl
| ~ sQ13_spl
| op(e1,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f514,f1138]) ).
fof(f5799,plain,
( ~ sQ147_spl
| ~ sQ13_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f5797,f532,f513,f1137]) ).
fof(f5804,plain,
( sQ133_spl
| ~ sQ27_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f559,f1053]) ).
fof(f5808,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1029]) ).
fof(f5809,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5808,f2768]) ).
fof(f5810,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5809]) ).
fof(f5811,plain,
( sQ128_spl
| ~ sQ28_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1030]) ).
fof(f5812,plain,
( ~ sQ135_spl
| ~ sQ27_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f559,f1063]) ).
fof(f5813,plain,
( sQ136_spl
| ~ sQ27_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f559,f1068]) ).
fof(f5814,plain,
( sQ136_spl
| ~ sQ27_spl
| ~ sQ69_spl
| ~ sQ54_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f2863,f5813]) ).
fof(f5815,plain,
( sQ136_spl
| ~ sQ27_spl
| ~ sQ69_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5814]) ).
fof(f5816,plain,
( sQ136_spl
| ~ sQ27_spl
| ~ sQ69_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f5815]) ).
fof(f5817,plain,
( sQ146_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5794,f493,f513,f1133]) ).
fof(f5826,plain,
( ~ sQ135_spl
| ~ sQ27_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f5812,f646,f558,f1062]) ).
fof(f5828,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2837,f659,f503]) ).
fof(f5836,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2952,f503,f477]) ).
fof(f5842,plain,
( sQ96_spl
| ~ sQ58_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f5175,f620,f659,f841]) ).
fof(f5847,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2761,f552,f526]) ).
fof(f5848,plain,
( ~ sQ131_spl
| ~ sQ17_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3756,f536,f526,f1043]) ).
fof(f5850,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3885,f591,f643]) ).
fof(f5853,plain,
( ~ sQ100_spl
| ~ sQ53_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4646,f565,f643,f866]) ).
fof(f5856,plain,
( sQ133_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5205,f542,f552,f1051]) ).
fof(f5860,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f4435,f656,f558,f1066]) ).
fof(f5862,plain,
( ~ sQ136_spl
| ~ sQ27_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4432,f643,f558,f1066]) ).
fof(f5865,plain,
( ~ sQ105_spl
| ~ sQ48_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f628,f896]) ).
fof(f5868,plain,
( sQ129_spl
| ~ sQ28_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f563,f1034]) ).
fof(f5869,plain,
( sQ129_spl
| ~ sQ28_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f5868]) ).
fof(f5870,plain,
( sQ129_spl
| ~ sQ28_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5869]) ).
fof(f5871,plain,
( sQ129_spl
| ~ sQ28_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5870]) ).
fof(f5884,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f5808,f105]) ).
fof(f5892,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f5808,f84]) ).
fof(f6072,plain,
( sQ120_spl
| ~ sQ37_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f592,f981]) ).
fof(f6073,plain,
( sQ113_spl
| ~ sQ37_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f592,f940]) ).
fof(f6076,plain,
( sQ120_spl
| ~ sQ37_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f6072,f542,f591,f979]) ).
fof(f6077,plain,
( sQ113_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f6073,f591,f938]) ).
fof(f6078,plain,
( sQ143_spl
| ~ sQ19_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4343,f630,f532,f1113]) ).
fof(f6079,plain,
( sQ131_spl
| ~ sQ19_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5165,f562,f532,f1043]) ).
fof(f6112,plain,
( ~ sQ105_spl
| ~ sQ49_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f631,f896]) ).
fof(f6122,plain,
( ~ sQ105_spl
| ~ sQ49_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f6112,f81]) ).
fof(f6143,plain,
( ~ sQ100_spl
| ~ sQ54_spl
| op(e2,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f647,f867]) ).
fof(f6151,plain,
( ~ sQ100_spl
| ~ sQ54_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6143,f617,f646,f866]) ).
fof(f6201,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f654,f846]) ).
fof(f6272,plain,
( sQ132_spl
| ~ sQ20_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f537,f1049]) ).
fof(f6281,plain,
( sQ87_spl
| ~ sQ20_spl
| e2 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f537,f803]) ).
fof(f6294,plain,
( sQ108_spl
| ~ sQ44_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f615,f917]) ).
fof(f6302,plain,
( sQ113_spl
| ~ sQ39_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f598,f940]) ).
fof(f6304,plain,
( ~ sQ41_spl
| ~ sQ123_spl
| ~ sQ34_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f6305,f605]) ).
fof(f6305,plain,
( ~ sQ123_spl
| ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f582,f1001]) ).
fof(f6306,plain,
( ~ sQ41_spl
| ~ sQ123_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6304,f126]) ).
fof(f6307,plain,
( ~ sQ41_spl
| ~ sQ123_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f6306]) ).
fof(f6309,plain,
( sQ120_spl
| ~ sQ39_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f598,f981]) ).
fof(f6310,plain,
( sQ120_spl
| ~ sQ39_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f647,f6309]) ).
fof(f6311,plain,
( sQ120_spl
| ~ sQ39_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6310]) ).
fof(f6312,plain,
( sQ120_spl
| ~ sQ39_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f6311]) ).
fof(f6362,plain,
( sQ70_spl
| ~ sQ57_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4148,f646,f656,f736]) ).
fof(f6382,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4220,f516,f562,f669,f808]) ).
fof(f6407,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f4254,f82]) ).
fof(f6484,plain,
( sQ120_spl
| ~ sQ36_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f589,f981]) ).
fof(f6511,plain,
( sQ90_spl
| ~ sQ1_spl
| e2 != op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f475,f814]) ).
fof(f6512,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ86_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f4254,f6511]) ).
fof(f6515,plain,
( sQ152_spl
| ~ sQ8_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f498,f1162]) ).
fof(f6525,plain,
( sQ150_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f475,f1154]) ).
fof(f6537,plain,
( ~ sQ119_spl
| ~ sQ36_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f589,f976]) ).
fof(f6538,plain,
( ~ sQ119_spl
| ~ sQ36_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f498,f6537]) ).
fof(f6539,plain,
( ~ sQ119_spl
| ~ sQ36_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6538,f126]) ).
fof(f6540,plain,
( ~ sQ119_spl
| ~ sQ36_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f6539]) ).
fof(f6541,plain,
( ~ sQ109_spl
| ~ sQ45_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f5214,f558,f617,f919]) ).
fof(f6557,plain,
( ~ sQ123_spl
| ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f6305,f601,f581,f1000]) ).
fof(f6558,plain,
( sQ124_spl
| ~ sQ34_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f582,f1006]) ).
fof(f6559,plain,
( sQ124_spl
| ~ sQ34_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f582,f6558]) ).
fof(f6560,plain,
( sQ124_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6559]) ).
fof(f6561,plain,
( sQ124_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f6560]) ).
fof(f6562,plain,
( sQ68_spl
| ~ sQ50_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3724,f653,f633,f728]) ).
fof(f6563,plain,
( sQ132_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f6272,f526,f536,f1047]) ).
fof(f6565,plain,
( sQ146_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1872,f506,f516,f1133]) ).
fof(f6571,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2885,f575,f614]) ).
fof(f6577,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3556,f471,f575]) ).
fof(f6580,plain,
( ~ sQ148_spl
| ~ sQ14_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f517,f1142]) ).
fof(f6581,plain,
( sQ120_spl
| ~ sQ36_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6484,f490,f588,f979]) ).
fof(f6582,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f5085,f1141,f666,f748]) ).
fof(f6583,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ86_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6512,f633,f796,f474,f812]) ).
fof(f6584,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4339,f633,f532,f474,f812]) ).
fof(f6587,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f5279,f604,f594,f938]) ).
fof(f6724,plain,
( ~ sQ68_spl
| ~ sQ49_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f631,f729]) ).
fof(f6799,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| e2 = op(op(e2,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f478,f813]) ).
fof(f6802,plain,
( sQ86_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f478,f798]) ).
fof(f6830,plain,
( sQ159_spl
| ~ sQ7_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f494,f1202]) ).
fof(f6831,plain,
( sQ159_spl
| ~ sQ7_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f641,f6830]) ).
fof(f6832,plain,
( sQ159_spl
| ~ sQ7_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6831]) ).
fof(f6833,plain,
( sQ159_spl
| ~ sQ7_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6832]) ).
fof(f6839,plain,
( sQ127_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f5748,f532,f562,f1024]) ).
fof(f6872,plain,
( sQ152_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f6515,f477,f497,f1160]) ).
fof(f6925,plain,
( ~ sQ129_spl
| ~ sQ28_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f563,f1033]) ).
fof(f7016,plain,
( sQ155_spl
| ~ sQ97_spl
| ~ sQ56_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f6201,f1177]) ).
fof(f7017,plain,
( ~ sQ154_spl
| ~ sQ97_spl
| ~ sQ56_spl
| op(e3,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f6201,f1172]) ).
fof(f7021,plain,
( sQ155_spl
| ~ sQ97_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7016,f653,f845,f1175]) ).
fof(f7022,plain,
( ~ sQ154_spl
| ~ sQ97_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f7017,f633,f653,f845,f1171]) ).
fof(f7051,plain,
( sQ148_spl
| ~ sQ129_spl
| ~ sQ28_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f6925,f1143]) ).
fof(f7052,plain,
( sQ148_spl
| ~ sQ129_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f563,f7051]) ).
fof(f7053,plain,
( sQ148_spl
| ~ sQ129_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7052]) ).
fof(f7054,plain,
( sQ148_spl
| ~ sQ129_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f7053]) ).
fof(f7059,plain,
( sQ150_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6525,f484,f474,f1152]) ).
fof(f7095,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6802,f584,f477,f796]) ).
fof(f7104,plain,
( sQ108_spl
| ~ sQ44_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6294,f584,f614,f915]) ).
fof(f7152,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| e2 = op(op(e2,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f478,f813]) ).
fof(f7158,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f585,f7152]) ).
fof(f7159,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl
| sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7158,f635]) ).
fof(f7160,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl
| sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f7159]) ).
fof(f7215,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f478,f817]) ).
fof(f7240,plain,
( ~ sQ68_spl
| ~ sQ49_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f631,f729]) ).
fof(f7261,plain,
( ~ sQ68_spl
| ~ sQ49_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f6724,f88]) ).
fof(f7275,plain,
( ~ sQ142_spl
| ~ sQ16_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f524,f1110]) ).
fof(f7279,plain,
( ~ sQ142_spl
| ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f7275,f484,f523,f1109]) ).
fof(f7281,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f494,f6281]) ).
fof(f7325,plain,
( ~ sQ123_spl
| ~ sQ35_spl
| op(e3,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f585,f1001]) ).
fof(f7326,plain,
( sQ124_spl
| ~ sQ35_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f585,f1006]) ).
fof(f7328,plain,
( sQ112_spl
| ~ sQ35_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f585,f936]) ).
fof(f7329,plain,
( sQ112_spl
| ~ sQ35_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f7328]) ).
fof(f7330,plain,
( sQ112_spl
| ~ sQ35_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7329]) ).
fof(f7331,plain,
( sQ112_spl
| ~ sQ35_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f7330]) ).
fof(f7356,plain,
( ~ sQ112_spl
| ~ sQ35_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f585,f935]) ).
fof(f7361,plain,
( sQ93_spl
| ~ sQ81_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2631,f506,f777,f826]) ).
fof(f7391,plain,
( ~ sQ123_spl
| ~ sQ35_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f7325,f653,f584,f1000]) ).
fof(f7397,plain,
( sQ123_spl
| ~ sQ35_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f585,f1002]) ).
fof(f7400,plain,
( sQ84_spl
| ~ sQ2_spl
| e1 != op(op(e2,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f478,f790]) ).
fof(f7401,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f585,f7400]) ).
fof(f7442,plain,
( ~ sQ49_spl
| sQ84_spl
| ~ sQ2_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f7401]) ).
fof(f7443,plain,
( ~ sQ49_spl
| sQ84_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f7442]) ).
fof(f7536,plain,
( ~ sQ148_spl
| ~ sQ14_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f6580,f99]) ).
fof(f7644,plain,
( ~ sQ108_spl
| ~ sQ148_spl
| ~ sQ14_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f6580,f916]) ).
fof(f7648,plain,
( sQ105_spl
| ~ sQ50_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f634,f897]) ).
fof(f7649,plain,
( sQ105_spl
| ~ sQ50_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f585,f7648]) ).
fof(f7650,plain,
( sQ105_spl
| ~ sQ50_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7649]) ).
fof(f7651,plain,
( sQ105_spl
| ~ sQ50_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f7650]) ).
fof(f7653,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| e2 = op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f475,f813]) ).
fof(f7654,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| ~ sQ16_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f524,f7653]) ).
fof(f7655,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| ~ sQ16_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f475,f7654]) ).
fof(f7656,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7655,f129]) ).
fof(f7657,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f7656]) ).
fof(f7660,plain,
( ~ sQ154_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f498,f1172]) ).
fof(f7670,plain,
( ~ sQ159_spl
| ~ sQ7_spl
| op(e3,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f494,f1201]) ).
fof(f7682,plain,
( ~ sQ114_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f605,f943]) ).
fof(f7695,plain,
( sQ131_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f1045]) ).
fof(f7696,plain,
( sQ131_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f7695]) ).
fof(f7697,plain,
( sQ131_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7696]) ).
fof(f7698,plain,
( sQ131_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f7697]) ).
fof(f7704,plain,
( sQ128_spl
| ~ sQ28_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5811,f493,f562,f1028]) ).
fof(f7733,plain,
( sQ101_spl
| ~ sQ52_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f641,f872]) ).
fof(f7734,plain,
( sQ101_spl
| ~ sQ52_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f494,f7733]) ).
fof(f7735,plain,
( sQ101_spl
| ~ sQ52_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7734]) ).
fof(f7736,plain,
( sQ101_spl
| ~ sQ52_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f7735]) ).
fof(f7737,plain,
( ~ sQ114_spl
| ~ sQ41_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2501,f620,f604,f942]) ).
fof(f7738,plain,
( ~ sQ114_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7682,f594,f604,f942]) ).
fof(f7748,plain,
( sQ147_spl
| ~ sQ15_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f5151,f636,f519,f1137]) ).
fof(f7749,plain,
( ~ sQ148_spl
| ~ sQ15_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1449,f666,f519,f1141]) ).
fof(f7825,plain,
( sQ88_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f806]) ).
fof(f7832,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f637,f121]) ).
fof(f7881,plain,
( sQ70_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f660,f738]) ).
fof(f7884,plain,
( sQ70_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f7881,f659,f736]) ).
fof(f7886,plain,
( ~ sQ105_spl
| ~ sQ49_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f6112,f532,f630,f895]) ).
fof(f7888,plain,
( ~ sQ105_spl
| ~ sQ49_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6122,f584,f630,f895]) ).
fof(f7895,plain,
( sQ123_spl
| ~ sQ35_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7397,f653,f584,f1000]) ).
fof(f7904,plain,
( ~ sQ68_spl
| ~ sQ49_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f7240,f640,f630,f728]) ).
fof(f7906,plain,
( ~ sQ68_spl
| ~ sQ49_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f7261,f536,f630,f728]) ).
fof(f7969,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ112_spl
| ~ sQ35_spl
| e2 = op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f7356,f4558]) ).
fof(f7976,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ112_spl
| ~ sQ35_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f7969,f516,f584,f934,f672,f808]) ).
fof(f7977,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ112_spl
| ~ sQ35_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f7356,f1621]) ).
fof(f7995,plain,
( ~ sQ96_spl
| ~ sQ56_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f654,f842]) ).
fof(f7999,plain,
( ~ sQ96_spl
| ~ sQ56_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f7995,f516,f653,f841]) ).
fof(f8001,plain,
( ~ sQ152_spl
| ~ sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f4553,f490,f500,f1160]) ).
fof(f8021,plain,
( ~ sQ159_spl
| ~ sQ7_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f7670,f640,f493,f1200]) ).
fof(f8023,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f7281,f646,f493,f536,f801]) ).
fof(f8267,plain,
( sQ154_spl
| ~ sQ11_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f507,f1173]) ).
fof(f8285,plain,
( ~ sQ155_spl
| ~ sQ11_spl
| op(e3,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f507,f1176]) ).
fof(f8288,plain,
( sQ101_spl
| ~ sQ54_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f872]) ).
fof(f8289,plain,
( sQ101_spl
| ~ sQ54_spl
| ~ sQ128_spl
| ~ sQ30_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f3837,f8288]) ).
fof(f8290,plain,
( sQ101_spl
| ~ sQ54_spl
| ~ sQ128_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8289]) ).
fof(f8291,plain,
( sQ101_spl
| ~ sQ54_spl
| ~ sQ128_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f8290]) ).
fof(f8292,plain,
( sQ154_spl
| ~ sQ11_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f8267,f633,f506,f1171]) ).
fof(f8324,plain,
( sQ135_spl
| ~ sQ24_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2915,f490,f549,f1062]) ).
fof(f8348,plain,
( sQ142_spl
| ~ sQ19_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f533,f1111]) ).
fof(f8350,plain,
( ~ sQ154_spl
| ~ sQ11_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f507,f1172]) ).
fof(f8351,plain,
( ~ sQ155_spl
| ~ sQ11_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f8285,f653,f506,f1175]) ).
fof(f8353,plain,
( ~ sQ136_spl
| ~ sQ24_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f4608,f500,f549,f1066]) ).
fof(f8354,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ112_spl
| ~ sQ35_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f7977,f513,f584,f934,f672,f781]) ).
fof(f8379,plain,
( ~ sQ96_spl
| ~ sQ57_spl
| op(e1,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f657,f842]) ).
fof(f8387,plain,
( ~ sQ96_spl
| ~ sQ57_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f8379,f568,f656,f841]) ).
fof(f8391,plain,
( ~ sQ104_spl
| ~ sQ49_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f5210,f562,f630,f891]) ).
fof(f8402,plain,
( ~ sQ94_spl
| ~ sQ3_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f3830,f895,f480,f830]) ).
fof(f8404,plain,
( ~ sQ148_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f7536,f562,f516,f1141]) ).
fof(f8406,plain,
( ~ sQ108_spl
| ~ sQ148_spl
| ~ sQ14_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f7644,f584,f516,f1141,f915]) ).
fof(f8407,plain,
( ~ sQ148_spl
| ~ sQ14_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f6580,f614,f516,f1141]) ).
fof(f8428,plain,
( ~ sQ104_spl
| ~ sQ85_spl
| ~ sQ3_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f3784,f892]) ).
fof(f8436,plain,
( ~ sQ104_spl
| ~ sQ85_spl
| ~ sQ3_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f8428,f614,f480,f791,f891]) ).
fof(f8455,plain,
( sQ75_spl
| ~ sQ22_spl
| e0 != op(op(e2,e1),e1) ),
inference(backward_demodulation,[status(thm)],[f543,f757]) ).
fof(f8461,plain,
( sQ148_spl
| ~ sQ14_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f517,f1143]) ).
fof(f8463,plain,
( ~ sQ104_spl
| ~ sQ50_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f634,f892]) ).
fof(f8464,plain,
( ~ sQ104_spl
| ~ sQ50_spl
| sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8463,f616]) ).
fof(f8465,plain,
( ~ sQ104_spl
| ~ sQ50_spl
| sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f8464]) ).
fof(f8467,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3827,f493,f536,f766]) ).
fof(f8473,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f517,f1138]) ).
fof(f8475,plain,
( ~ sQ154_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f7660,f477,f497,f1171]) ).
fof(f8574,plain,
( sQ92_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f491,f5026]) ).
fof(f8590,plain,
( sQ152_spl
| ~ sQ9_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f501,f1162]) ).
fof(f8594,plain,
( sQ152_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f8590,f490,f500,f1160]) ).
fof(f8625,plain,
( sQ89_spl
| ~ sQ60_spl
| e2 != op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f667,f810]) ).
fof(f8692,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f514,f8625]) ).
fof(f8694,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f8692,f568,f513,f666,f808]) ).
fof(f8709,plain,
( ~ sQ154_spl
| ~ sQ11_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f8350,f633,f506,f1171]) ).
fof(f8742,plain,
( sQ148_spl
| ~ sQ14_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8461,f614,f516,f1141]) ).
fof(f8788,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f8473,f79]) ).
fof(f8790,plain,
( ~ sQ112_spl
| ~ sQ147_spl
| ~ sQ14_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f8473,f935]) ).
fof(f8791,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f8473,f114]) ).
fof(f8794,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f8788,f480,f516,f1137]) ).
fof(f8795,plain,
( ~ sQ112_spl
| ~ sQ147_spl
| ~ sQ14_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f8790,f614,f516,f1137,f934]) ).
fof(f8796,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8791,f597,f516,f1137]) ).
fof(f8797,plain,
( sQ143_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f5564,f578,f529,f1113]) ).
fof(f8798,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f7215,f578,f477,f815]) ).
fof(f8800,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f7825,f588,f542,f804]) ).
fof(f8864,plain,
( ~ sQ142_spl
| ~ sQ19_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f533,f1110]) ).
fof(f8872,plain,
( ~ sQ142_spl
| ~ sQ19_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f8864,f640,f532,f1109]) ).
fof(f8888,plain,
( sQ133_spl
| ~ sQ27_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5804,f568,f558,f1051]) ).
fof(f8900,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f579,f6799]) ).
fof(f8967,plain,
( ~ sQ135_spl
| ~ sQ24_spl
| op(e0,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f550,f1063]) ).
fof(f8972,plain,
( ~ sQ135_spl
| ~ sQ24_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f8967,f490,f549,f1062]) ).
fof(f8973,plain,
( sQ92_spl
| ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8574,f597,f490,f536,f822]) ).
fof(f8974,plain,
( sQ114_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f608,f944]) ).
fof(f8975,plain,
( sQ114_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f608,f8974]) ).
fof(f8976,plain,
( sQ114_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8975]) ).
fof(f8977,plain,
( sQ114_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f8976]) ).
fof(f8978,plain,
( sQ124_spl
| ~ sQ35_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f7326,f633,f584,f1004]) ).
fof(f9152,plain,
( sQ124_spl
| ~ sQ33_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f579,f1006]) ).
fof(f9153,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| op(e1,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f579,f1001]) ).
fof(f9158,plain,
( sQ124_spl
| ~ sQ33_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f9152,f529,f578,f1004]) ).
fof(f9167,plain,
( sQ73_spl
| ~ sQ61_spl
| ~ sQ30_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3687,f614,f568,f669,f748]) ).
fof(f9182,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| ~ sQ33_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f8900,f529,f578,f477,f812]) ).
fof(f9188,plain,
( ~ sQ90_spl
| ~ sQ2_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f7152,f1004,f477,f812]) ).
fof(f9205,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f9153,f549,f578,f1000]) ).
fof(f9211,plain,
( ~ sQ124_spl
| ~ sQ33_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f579,f1005]) ).
fof(f9249,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f637,f82]) ).
fof(f9277,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e2 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f615,f4558]) ).
fof(f9278,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ44_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9277,f518]) ).
fof(f9279,plain,
( ~ sQ89_spl
| ~ sQ62_spl
| ~ sQ44_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f9278]) ).
fof(f9284,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f615,f1621]) ).
fof(f9293,plain,
( ~ sQ13_spl
| sQ82_spl
| ~ sQ62_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f9284]) ).
fof(f9294,plain,
( ~ sQ13_spl
| sQ82_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f9293]) ).
fof(f9310,plain,
( sQ142_spl
| ~ sQ19_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f8348,f640,f532,f1109]) ).
fof(f9315,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f598,f8455]) ).
fof(f9411,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f641,f9315]) ).
fof(f9412,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9411]) ).
fof(f9413,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ39_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f9412]) ).
fof(f9416,plain,
( sQ78_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f768]) ).
fof(f9417,plain,
( sQ78_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f598,f9416]) ).
fof(f9418,plain,
( sQ78_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9417]) ).
fof(f9419,plain,
( sQ78_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f9418]) ).
fof(f9448,plain,
( sQ113_spl
| ~ sQ39_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f6302,f617,f597,f938]) ).
fof(f9449,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f598,f976]) ).
fof(f9475,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f657,f846]) ).
fof(f9518,plain,
( ~ sQ30_spl
| sQ110_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f4027]) ).
fof(f9519,plain,
( ~ sQ30_spl
| sQ110_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f9518]) ).
fof(f9520,plain,
( sQ94_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f5620,f584,f529,f474,f830]) ).
fof(f9734,plain,
( sQ110_spl
| ~ sQ46_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f621,f925]) ).
fof(f9738,plain,
( sQ110_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f9734,f620,f923]) ).
fof(f9744,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f5808,f493,f562,f1028]) ).
fof(f9745,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5884,f506,f562,f1028]) ).
fof(f9746,plain,
( ~ sQ128_spl
| ~ sQ28_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f5892,f545,f562,f1028]) ).
fof(f9761,plain,
( ~ sQ119_spl
| ~ sQ36_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f6537,f500,f588,f975]) ).
fof(f9792,plain,
( ~ sQ65_spl
| ~ sQ62_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f4675,f121]) ).
fof(f9904,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f589,f5413]) ).
fof(f9912,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f9904,f493,f588,f542,f822]) ).
fof(f9917,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f9449,f656,f597,f975]) ).
fof(f9936,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f9249,f532,f636]) ).
fof(f9940,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f7832,f662,f636]) ).
fof(f9949,plain,
( ~ sQ105_spl
| ~ sQ48_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f5865,f480,f627,f895]) ).
fof(f9955,plain,
( ~ sQ65_spl
| ~ sQ62_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f9792,f636,f672,f714]) ).
fof(f9956,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6407,f636,f474,f796]) ).
fof(f9971,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3959,f532,f516,f1137]) ).
fof(f9972,plain,
( ~ sQ147_spl
| ~ sQ14_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f8473,f584,f516,f1137]) ).
fof(f9977,plain,
( ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ54_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f5671,f558,f646,f732,f845]) ).
fof(f9989,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f9475,f558,f656,f845]) ).
fof(f10198,plain,
( sQ152_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f504,f1162]) ).
fof(f10202,plain,
( sQ152_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f10198,f503,f1160]) ).
fof(f10249,plain,
( ~ sQ109_spl
| ~ sQ44_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f615,f920]) ).
fof(f10449,plain,
( ~ sQ109_spl
| ~ sQ44_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f498,f10249]) ).
fof(f10450,plain,
( ~ sQ109_spl
| ~ sQ44_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10449,f128]) ).
fof(f10451,plain,
( ~ sQ109_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f10450]) ).
fof(f10453,plain,
( ~ sQ109_spl
| ~ sQ44_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f10249,f506,f614,f919]) ).
fof(f10454,plain,
( ~ sQ124_spl
| ~ sQ33_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f9211,f529,f578,f1004]) ).
fof(f10463,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f496,f509,f522,f535,f548,f561,f574,f587,f600,f613,f626,f639,f652,f665,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f717,f721,f722,f726,f731,f735,f739,f740,f747,f754,f761,f765,f769,f773,f780,f787,f794,f795,f799,f800,f807,f811,f818,f819,f820,f821,f825,f829,f833,f834,f835,f836,f840,f844,f848,f849,f854,f855,f856,f857,f858,f859,f860,f865,f869,f873,f874,f879,f880,f881,f882,f883,f884,f885,f890,f894,f898,f899,f900,f904,f905,f906,f907,f908,f909,f910,f918,f922,f926,f927,f932,f933,f937,f941,f945,f946,f947,f952,f956,f957,f958,f963,f965,f966,f967,f968,f969,f970,f974,f978,f982,f983,f984,f988,f989,f990,f991,f992,f993,f994,f999,f1003,f1007,f1008,f1009,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1027,f1031,f1035,f1036,f1037,f1041,f1042,f1046,f1050,f1054,f1055,f1056,f1061,f1065,f1069,f1070,f1071,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1086,f1090,f1091,f1092,f1097,f1099,f1100,f1101,f1102,f1103,f1104,f1108,f1112,f1116,f1117,f1118,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1136,f1140,f1144,f1145,f1146,f1150,f1151,f1159,f1163,f1164,f1165,f1166,f1170,f1174,f1178,f1179,f1180,f1184,f1185,f1188,f1189,f1190,f1191,f1195,f1199,f1203,f1204,f1205,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1221,f1222,f1224,f1227,f1228,f1229,f1230,f1260,f1271,f1274,f1277,f1281,f1284,f1301,f1304,f1307,f1310,f1317,f1320,f1338,f1342,f1343,f1364,f1368,f1372,f1378,f1381,f1388,f1389,f1394,f1395,f1398,f1401,f1406,f1408,f1411,f1429,f1430,f1431,f1432,f1433,f1434,f1437,f1440,f1445,f1446,f1471,f1478,f1481,f1484,f1485,f1489,f1490,f1499,f1502,f1503,f1504,f1505,f1506,f1507,f1509,f1511,f1513,f1518,f1521,f1528,f1529,f1530,f1531,f1532,f1534,f1537,f1543,f1544,f1545,f1552,f1553,f1554,f1559,f1560,f1561,f1562,f1563,f1564,f1577,f1578,f1579,f1580,f1585,f1586,f1587,f1588,f1589,f1590,f1592,f1594,f1596,f1598,f1599,f1600,f1606,f1607,f1608,f1609,f1624,f1625,f1626,f1627,f1633,f1634,f1649,f1650,f1651,f1652,f1654,f1655,f1656,f1657,f1686,f1687,f1688,f1691,f1694,f1696,f1700,f1725,f1727,f1730,f1733,f1736,f1737,f1738,f1739,f1740,f1741,f1742,f1743,f1766,f1767,f1772,f1775,f1778,f1779,f1780,f1781,f1783,f1784,f1785,f1786,f1788,f1790,f1791,f1865,f1871,f1885,f1902,f1949,f1964,f1965,f1989,f1990,f1991,f1993,f1994,f1996,f1997,f1998,f1999,f2000,f2004,f2008,f2010,f2012,f2016,f2126,f2132,f2138,f2139,f2141,f2142,f2143,f2145,f2146,f2147,f2149,f2155,f2157,f2159,f2162,f2164,f2165,f2166,f2168,f2169,f2170,f2171,f2172,f2173,f2174,f2175,f2176,f2177,f2179,f2180,f2181,f2182,f2261,f2267,f2272,f2276,f2295,f2298,f2362,f2380,f2527,f2528,f2532,f2533,f2537,f2539,f2545,f2550,f2551,f2555,f2557,f2558,f2560,f2561,f2562,f2565,f2584,f2588,f2593,f2640,f2657,f2658,f2659,f2662,f2663,f2667,f2669,f2670,f2672,f2673,f2674,f2686,f2687,f2688,f2690,f2691,f2696,f2752,f2753,f2754,f2755,f2756,f2895,f2982,f2987,f3005,f3031,f3039,f3040,f3047,f3058,f3072,f3079,f3080,f3082,f3083,f3087,f3088,f3089,f3090,f3091,f3096,f3097,f3098,f3099,f3101,f3102,f3103,f3104,f3105,f3106,f3107,f3108,f3109,f3110,f3111,f3112,f3113,f3114,f3115,f3116,f3163,f3210,f3218,f3253,f3304,f3320,f3321,f3330,f3344,f3347,f3350,f3355,f3366,f3467,f3470,f3471,f3475,f3476,f3478,f3484,f3487,f3492,f3500,f3593,f3596,f3598,f3601,f3608,f3612,f3613,f3616,f3618,f3619,f3629,f3630,f3632,f3633,f3634,f3723,f3775,f3802,f3806,f3810,f3813,f3823,f3831,f3841,f3851,f3873,f3991,f3998,f4005,f4018,f4022,f4028,f4029,f4030,f4036,f4039,f4040,f4041,f4042,f4043,f4044,f4181,f4183,f4196,f4265,f4331,f4356,f4358,f4368,f4383,f4386,f4387,f4390,f4391,f4393,f4394,f4395,f4396,f4436,f4437,f4442,f4476,f4477,f4479,f4480,f4607,f4645,f4657,f4704,f4728,f4884,f4962,f4985,f4987,f5164,f5196,f5212,f5217,f5221,f5232,f5269,f5277,f5290,f5485,f5486,f5488,f5527,f5549,f5550,f5554,f5556,f5557,f5560,f5561,f5689,f5799,f5810,f5816,f5817,f5826,f5828,f5836,f5842,f5847,f5848,f5850,f5853,f5856,f5860,f5862,f5871,f6076,f6077,f6078,f6079,f6151,f6307,f6312,f6362,f6382,f6540,f6541,f6557,f6561,f6562,f6563,f6565,f6571,f6577,f6581,f6582,f6583,f6584,f6587,f6833,f6839,f6872,f7021,f7022,f7054,f7059,f7095,f7104,f7160,f7279,f7331,f7361,f7391,f7443,f7651,f7657,f7698,f7704,f7736,f7737,f7738,f7748,f7749,f7884,f7886,f7888,f7895,f7904,f7906,f7976,f7999,f8001,f8021,f8023,f8291,f8292,f8324,f8351,f8353,f8354,f8387,f8391,f8402,f8404,f8406,f8407,f8436,f8465,f8467,f8475,f8594,f8694,f8709,f8742,f8794,f8795,f8796,f8797,f8798,f8800,f8872,f8888,f8972,f8973,f8977,f8978,f9158,f9167,f9182,f9188,f9205,f9279,f9294,f9310,f9413,f9419,f9448,f9519,f9520,f9738,f9744,f9745,f9746,f9761,f9912,f9917,f9936,f9940,f9949,f9955,f9956,f9971,f9972,f9977,f9989,f10202,f10451,f10453,f10454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG164+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:04:59 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 16.62/2.53 % Refutation found
% 16.62/2.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.62/2.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.62/2.59 % Elapsed time: 2.206298 seconds
% 16.62/2.59 % CPU time: 17.011375 seconds
% 16.62/2.59 % Total memory used: 106.439 MB
% 16.62/2.59 % Net memory used: 104.490 MB
%------------------------------------------------------------------------------