%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG133+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 : n004.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 11:48:33 AM UTC 2026
% Result : Unsatisfiable 3.49s 0.87s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 163
% Syntax : Number of formulae : 1465 ( 54 unt; 134 def)
% Number of atoms : 5128 (2533 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6659 (2996 ~;2502 |;1013 &)
% ( 148 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 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,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
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(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(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(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP0_prd )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e3,e0) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e3,e1) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e3,e2) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f147,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f149,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f151,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f155,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f161,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f163,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f187,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,definition,
( sP1_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e3,e2) != e3
| op(e3,e3) != e2 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e2) = e3
& op(e3,e3) = e2 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,e3) = e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e3,e2) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(e2,e0) != e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
( op(e2,e2) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,plain,
( op(e2,e3) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f201,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f203,definition,
( sP2_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f204,plain,
( sP1_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f203]) ).
fof(f205,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e3,e1) != e3
| op(e3,e3) != e1 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e1) = e3
& op(e3,e3) = e1 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e3,e3) = e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e3,e1) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
( op(e1,e0) != e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f209,plain,
( op(e1,e1) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
( op(e1,e2) != e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f211,plain,
( op(e1,e3) != e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f214,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f215,plain,
( sP2_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f214]) ).
fof(f216,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e3,e0) != e3
| op(e3,e3) != e0 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e0) = e3
& op(e3,e3) = e0 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e3,e3) = e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e0) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( op(e0,e0) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f220,plain,
( op(e0,e1) != e1
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( op(e0,e2) != e2
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f222,plain,
( op(e0,e3) != e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f223,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f225,definition,
( sP4_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f226,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f225]) ).
fof(f227,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e2,e3) != e2
| op(e2,e2) != e3 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e3) = e2
& op(e2,e2) = e3 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( op(e2,e2) = e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e2,e3) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f230,plain,
( op(e3,e0) != e0
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f231,plain,
( op(e3,e1) != e1
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f232,plain,
( op(e3,e2) != e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f233,plain,
( op(e3,e3) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f234,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f236,definition,
( sP5_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f237,plain,
( sP4_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f225,f236]) ).
fof(f238,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e2,e0) != e0
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f243,plain,
( op(e2,e2) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f244,plain,
( op(e2,e3) != e3
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f245,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f247,definition,
( sP6_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f248,plain,
( sP5_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f236,f247]) ).
fof(f249,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e2,e1) != e2
| op(e2,e2) != e1 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e1) = e2
& op(e2,e2) = e1 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e2,e2) = e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( op(e2,e1) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,plain,
( op(e1,e1) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f254,plain,
( op(e1,e2) != e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f256,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f258,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f259,plain,
( sP6_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f247,f258]) ).
fof(f260,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e2,e0) != e2
| op(e2,e2) != e0 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e0) = e2
& op(e2,e2) = e0 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e2,e2) = e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e2,e0) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( op(e0,e0) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
( op(e0,e1) != e1
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f265,plain,
( op(e0,e2) != e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,plain,
( op(e0,e3) != e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f267,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f269,definition,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f270,plain,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f269]) ).
fof(f271,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e1,e3) != e1
| op(e1,e1) != e3 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e3) = e1
& op(e1,e1) = e3 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e1,e1) = e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e1,e3) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
( op(e3,e0) != e0
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
( op(e3,e1) != e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f276,plain,
( op(e3,e2) != e2
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f277,plain,
( op(e3,e3) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f278,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f279,plain,
( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e1,e3) != e1
| op(e1,e1) != e3
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f280,definition,
( sP9_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f281,plain,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f269,f280]) ).
fof(f282,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e1,e2) != e1
| op(e1,e1) != e2 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e2) = e1
& op(e1,e1) = e2 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e1,e1) = e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e1,e2) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
( op(e2,e0) != e0
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f286,plain,
( op(e2,e1) != e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f287,plain,
( op(e2,e2) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f288,plain,
( op(e2,e3) != e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f289,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f291,definition,
( sP10_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,plain,
( sP9_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f280,f291]) ).
fof(f293,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e1,e1) = e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,plain,
( op(e1,e1) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f300,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f302,definition,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f303,plain,
( sP10_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f302]) ).
fof(f304,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e1,e0) != e1
| op(e1,e1) != e0 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e0) = e1
& op(e1,e1) = e0 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
( op(e1,e1) = e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( op(e1,e0) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f307,plain,
( op(e0,e0) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f308,plain,
( op(e0,e1) != e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f311,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f313,definition,
( sP12_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f314,plain,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f302,f313]) ).
fof(f315,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e0,e3) != e0
| op(e0,e0) != e3 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e3) = e0
& op(e0,e0) = e3 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op(e0,e0) = e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e0,e3) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e3,e0) != e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op(e3,e1) != e1
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f320,plain,
( op(e3,e2) != e2
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f321,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f324,definition,
( sP13_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f325,plain,
( sP12_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f324]) ).
fof(f326,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e0,e2) != e0
| op(e0,e0) != e2 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e2) = e0
& op(e0,e0) = e2 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e0,e0) = e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e0,e2) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e2,e0) != e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( op(e2,e1) != e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( op(e2,e2) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f333,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f334,plain,
( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e0,e2) != e0
| op(e0,e0) != e2
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f335,definition,
( sP14_prd
<=> ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f336,plain,
( sP13_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f335]) ).
fof(f337,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e0,e1) != e0
| op(e0,e0) != e1 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e1) = e0
& op(e0,e0) = e1 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e0,e0) = e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e0,e1) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
( op(e1,e0) != e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f341,plain,
( op(e1,e1) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f344,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f345,plain,
( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e0,e1) != e0
| op(e0,e0) != e1
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f346,plain,
( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP14_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f347,plain,
( op(e0,e0) = e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( op(e0,e0) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( op(e0,e2) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,plain,
( op(e0,e3) != e3
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f354,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ2_spl
| op(e0,e0) != e2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f354,f357,f360,f363]) ).
fof(f367,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f380,f383,f386,f389]) ).
fof(f393,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f393,f396,f399,f402]) ).
fof(f406,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f406,f409,f412,f415]) ).
fof(f419,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ21_spl
| op(e1,e1) != e1 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f419,f422,f425,f428]) ).
fof(f432,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f432,f435,f438,f441]) ).
fof(f445,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f445,f448,f451,f454]) ).
fof(f458,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ51_spl
| op(e3,e0) != e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ57_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f549,f552,f555,f558]) ).
fof(f562,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f354,f367,f380,f393]) ).
fof(f563,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f354,f406,f458,f510]) ).
fof(f564,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f357,f370,f383,f396]) ).
fof(f565,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f357,f409,f461,f513]) ).
fof(f566,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f360,f373,f386,f399]) ).
fof(f567,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f360,f412,f464,f516]) ).
fof(f568,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f363,f376,f389,f402]) ).
fof(f569,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f363,f415,f467,f519]) ).
fof(f570,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f406,f419,f432,f445]) ).
fof(f571,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f367,f419,f471,f523]) ).
fof(f572,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f409,f422,f435,f448]) ).
fof(f573,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f370,f422,f474,f526]) ).
fof(f574,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f412,f425,f438,f451]) ).
fof(f575,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f373,f425,f477,f529]) ).
fof(f576,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f415,f428,f441,f454]) ).
fof(f577,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f376,f428,f480,f532]) ).
fof(f578,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f458,f471,f484,f497]) ).
fof(f579,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f380,f432,f484,f536]) ).
fof(f580,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f461,f474,f487,f500]) ).
fof(f581,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f383,f435,f487,f539]) ).
fof(f582,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f464,f477,f490,f503]) ).
fof(f584,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f467,f480,f493,f506]) ).
fof(f585,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f389,f441,f493,f545]) ).
fof(f586,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f510,f523,f536,f549]) ).
fof(f587,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f393,f445,f497,f549]) ).
fof(f588,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f513,f526,f539,f552]) ).
fof(f589,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f396,f448,f500,f552]) ).
fof(f590,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f516,f529,f542,f555]) ).
fof(f591,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f399,f451,f503,f555]) ).
fof(f592,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f519,f532,f545,f558]) ).
fof(f593,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f402,f454,f506,f558]) ).
fof(f594,definition,
( sQ64_spl
<=> op(op(e0,e0),e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ64_spl
| op(op(e0,e0),e0) = op(e0,e0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ64_spl
| op(op(e0,e0),e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ65_spl
<=> op(op(e1,e0),e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ65_spl
| op(op(e1,e0),e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ66_spl
<=> op(op(e2,e0),e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ66_spl
| op(op(e2,e0),e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ67_spl
<=> op(op(e3,e0),e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ67_spl
| op(op(e3,e0),e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f594,f597,f600,f603]) ).
fof(f607,definition,
( sQ68_spl
<=> op(op(e0,e1),e0) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ68_spl
| op(op(e0,e1),e0) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ69_spl
<=> op(op(e1,e1),e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ69_spl
| op(op(e1,e1),e1) = op(e1,e1) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ69_spl
| op(op(e1,e1),e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ70_spl
<=> op(op(e2,e1),e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ70_spl
| op(op(e2,e1),e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ71_spl
<=> op(op(e3,e1),e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ71_spl
| op(op(e3,e1),e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f135,f607,f610,f613,f616]) ).
fof(f620,definition,
( sQ72_spl
<=> op(op(e0,e2),e0) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ72_spl
| op(op(e0,e2),e0) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ73_spl
<=> op(op(e1,e2),e1) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ73_spl
| op(op(e1,e2),e1) = op(e1,e2) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ74_spl
<=> op(op(e2,e2),e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ74_spl
| op(op(e2,e2),e2) = op(e2,e2) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ75_spl
<=> op(op(e3,e2),e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ75_spl
| op(op(e3,e2),e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f136,f620,f623,f626,f629]) ).
fof(f633,definition,
( sQ76_spl
<=> op(op(e0,e3),e0) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ76_spl
| op(op(e0,e3),e0) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ76_spl
| op(op(e0,e3),e0) != op(e0,e3) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ77_spl
<=> op(op(e1,e3),e1) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ77_spl
| op(op(e1,e3),e1) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ78_spl
<=> op(op(e2,e3),e2) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ78_spl
| op(op(e2,e3),e2) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ79_spl
<=> op(op(e3,e3),e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ79_spl
| op(op(e3,e3),e3) = op(e3,e3) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f646,definition,
( sQ80_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f138,f646,f558]) ).
fof(f651,plain,
( ~ sQ48_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f140,f646,f510]) ).
fof(f652,plain,
( ~ sQ53_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f141,f646,f526]) ).
fof(f653,plain,
( ~ sQ58_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f142,f646,f542]) ).
fof(f654,plain,
( ~ sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f143,f646,f558]) ).
fof(f655,definition,
( sQ81_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ81_spl
| e1 = op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( sQ81_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ82_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ82_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f145,f549,f655,f658]) ).
fof(f662,definition,
( sQ83_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ83_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ84_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( sQ84_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f147,f484,f662,f665]) ).
fof(f669,definition,
( sQ85_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ85_spl
| e2 = op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( sQ85_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ86_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( sQ86_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f149,f549,f669,f672]) ).
fof(f676,definition,
( sQ87_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( sQ87_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ88_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ88_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( sQ88_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,plain,
( ~ sQ88_spl
| ~ sQ87_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f151,f419,f676,f679]) ).
fof(f683,definition,
( sQ89_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( sQ89_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ90_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ90_spl
| e1 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( sQ90_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f153,f484,f683,f686]) ).
fof(f690,definition,
( sQ91_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ91_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ92_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ92_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ92_spl
| ~ sQ91_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f155,f419,f690,f693]) ).
fof(f697,definition,
( sQ93_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ93_spl
| e0 = op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f699,plain,
( sQ93_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( ~ sQ82_spl
| ~ sQ93_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f157,f552,f697,f658]) ).
fof(f701,definition,
( sQ94_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ94_spl
| e0 = op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( sQ94_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( ~ sQ84_spl
| ~ sQ94_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f159,f487,f701,f665]) ).
fof(f705,definition,
( sQ95_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ95_spl
| e0 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( sQ95_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f161,f552,f669,f705]) ).
fof(f709,definition,
( sQ96_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ96_spl
| e2 = op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( sQ96_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ97_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( sQ97_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f163,f357,f709,f712]) ).
fof(f716,definition,
( sQ98_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ98_spl
| e0 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( sQ98_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f165,f487,f683,f716]) ).
fof(f720,definition,
( sQ99_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( sQ99_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ100_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( sQ100_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f167,f357,f720,f723]) ).
fof(f727,plain,
( ~ sQ86_spl
| ~ sQ93_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f169,f555,f697,f672]) ).
fof(f728,definition,
( sQ101_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ101_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ88_spl
| ~ sQ101_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f171,f425,f728,f679]) ).
fof(f732,plain,
( ~ sQ95_spl
| ~ sQ81_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f173,f555,f655,f705]) ).
fof(f733,definition,
( sQ102_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( sQ102_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f175,f360,f733,f712]) ).
fof(f737,definition,
( sQ103_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ103_spl
| e0 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( sQ103_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( ~ sQ103_spl
| ~ sQ91_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f177,f425,f690,f737]) ).
fof(f741,definition,
( sQ104_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ104_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( ~ sQ104_spl
| ~ sQ99_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f179,f360,f720,f741]) ).
fof(f745,plain,
( ~ sQ90_spl
| ~ sQ94_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f181,f493,f701,f686]) ).
fof(f746,plain,
( ~ sQ92_spl
| ~ sQ101_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f183,f428,f728,f693]) ).
fof(f747,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f185,f493,f662,f716]) ).
fof(f748,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f187,f363,f733,f723]) ).
fof(f749,plain,
( ~ sQ103_spl
| ~ sQ87_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f189,f428,f676,f737]) ).
fof(f750,plain,
( ~ sQ104_spl
| ~ sQ96_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f191,f363,f709,f741]) ).
fof(f751,definition,
( sQ105_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ62_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f195,f646,f751,f555]) ).
fof(f755,plain,
( sQ59_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f196,f646,f751,f545]) ).
fof(f756,plain,
( ~ sQ32_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f197,f646,f751,f458]) ).
fof(f758,plain,
( ~ sQ42_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f199,f646,f751,f490]) ).
fof(f759,plain,
( ~ sQ47_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f200,f646,f751,f506]) ).
fof(f760,plain,
( ~ sQ105_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f201,f646,f751]) ).
fof(f762,definition,
( sQ106_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ61_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f206,f751,f762,f552]) ).
fof(f766,plain,
( sQ55_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f207,f751,f762,f532]) ).
fof(f767,plain,
( ~ sQ16_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f208,f751,f762,f406]) ).
fof(f768,plain,
( ~ sQ21_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f209,f751,f762,f422]) ).
fof(f769,plain,
( ~ sQ26_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f210,f751,f762,f438]) ).
fof(f770,plain,
( ~ sQ31_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f211,f751,f762,f454]) ).
fof(f771,plain,
( ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f212,f751,f762]) ).
fof(f773,definition,
( sQ107_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ60_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f217,f762,f773,f549]) ).
fof(f777,plain,
( sQ51_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f218,f762,f773,f519]) ).
fof(f778,plain,
( ~ sQ0_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f219,f762,f773,f354]) ).
fof(f779,plain,
( ~ sQ5_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f220,f762,f773,f370]) ).
fof(f780,plain,
( ~ sQ10_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f221,f762,f773,f386]) ).
fof(f781,plain,
( ~ sQ15_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f222,f762,f773,f402]) ).
fof(f782,plain,
( ~ sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f223,f762,f773]) ).
fof(f784,definition,
( sQ108_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ43_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f228,f773,f784,f493]) ).
fof(f788,plain,
( sQ46_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f229,f773,f784,f503]) ).
fof(f789,plain,
( ~ sQ48_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f230,f773,f784,f510]) ).
fof(f790,plain,
( ~ sQ53_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f231,f773,f784,f526]) ).
fof(f791,plain,
( ~ sQ58_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f232,f773,f784,f542]) ).
fof(f792,plain,
( ~ sQ63_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f233,f773,f784,f558]) ).
fof(f793,plain,
( ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f234,f773,f784]) ).
fof(f795,definition,
( sQ109_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f239,f784,f795,f490]) ).
fof(f800,plain,
( ~ sQ32_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f241,f784,f795,f458]) ).
fof(f802,plain,
( ~ sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f243,f784,f795,f490]) ).
fof(f803,plain,
( ~ sQ47_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f244,f784,f795,f506]) ).
fof(f804,plain,
( ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f245,f784,f795]) ).
fof(f806,definition,
( sQ110_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ41_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f250,f795,f806,f487]) ).
fof(f810,plain,
( sQ38_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f251,f795,f806,f477]) ).
fof(f812,plain,
( ~ sQ21_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f253,f795,f806,f422]) ).
fof(f813,plain,
( ~ sQ26_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f254,f795,f806,f438]) ).
fof(f815,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f256,f795,f806]) ).
fof(f817,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( sQ40_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f261,f806,f817,f484]) ).
fof(f821,plain,
( sQ34_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f262,f806,f817,f464]) ).
fof(f822,plain,
( ~ sQ0_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f263,f806,f817,f354]) ).
fof(f823,plain,
( ~ sQ5_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f264,f806,f817,f370]) ).
fof(f824,plain,
( ~ sQ10_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f265,f806,f817,f386]) ).
fof(f825,plain,
( ~ sQ15_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f266,f806,f817,f402]) ).
fof(f826,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f267,f806,f817]) ).
fof(f828,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ23_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f272,f817,f828,f428]) ).
fof(f832,plain,
( sQ29_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f273,f817,f828,f448]) ).
fof(f833,plain,
( ~ sQ48_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f274,f817,f828,f510]) ).
fof(f834,plain,
( ~ sQ53_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f275,f817,f828,f526]) ).
fof(f835,plain,
( ~ sQ58_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f276,f817,f828,f542]) ).
fof(f836,plain,
( ~ sQ63_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f277,f817,f828,f558]) ).
fof(f837,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f278,f817,f828]) ).
fof(f838,plain,
( sQ63_spl
| sQ58_spl
| sQ53_spl
| sQ48_spl
| ~ sQ29_spl
| ~ sQ23_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f279,f817,f428,f448,f510,f526,f542,f558]) ).
fof(f839,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ22_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f283,f828,f839,f425]) ).
fof(f843,plain,
( sQ25_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f284,f828,f839,f435]) ).
fof(f844,plain,
( ~ sQ32_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f285,f828,f839,f458]) ).
fof(f845,plain,
( ~ sQ37_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f286,f828,f839,f474]) ).
fof(f846,plain,
( ~ sQ42_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f287,f828,f839,f490]) ).
fof(f847,plain,
( ~ sQ47_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f288,f828,f839,f506]) ).
fof(f848,plain,
( ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f289,f828,f839]) ).
fof(f850,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f294,f839,f850,f422]) ).
fof(f856,plain,
( ~ sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f297,f839,f850,f422]) ).
fof(f859,plain,
( ~ sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f300,f839,f850]) ).
fof(f861,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ20_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f305,f850,f861,f419]) ).
fof(f865,plain,
( sQ17_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f306,f850,f861,f409]) ).
fof(f866,plain,
( ~ sQ0_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f307,f850,f861,f354]) ).
fof(f867,plain,
( ~ sQ5_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f308,f850,f861,f370]) ).
fof(f870,plain,
( ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f311,f850,f861]) ).
fof(f872,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ3_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f316,f861,f872,f363]) ).
fof(f876,plain,
( sQ12_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f317,f861,f872,f393]) ).
fof(f877,plain,
( ~ sQ48_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f318,f861,f872,f510]) ).
fof(f878,plain,
( ~ sQ53_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f319,f861,f872,f526]) ).
fof(f879,plain,
( ~ sQ58_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f320,f861,f872,f542]) ).
fof(f880,plain,
( ~ sQ63_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f321,f861,f872,f558]) ).
fof(f881,plain,
( ~ sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f322,f861,f872]) ).
fof(f883,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( sQ2_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f327,f872,f883,f360]) ).
fof(f887,plain,
( sQ8_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f328,f872,f883,f380]) ).
fof(f888,plain,
( ~ sQ32_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f329,f872,f883,f458]) ).
fof(f889,plain,
( ~ sQ37_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f330,f872,f883,f474]) ).
fof(f890,plain,
( ~ sQ42_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f331,f872,f883,f490]) ).
fof(f892,plain,
( ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f333,f872,f883]) ).
fof(f893,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| ~ sQ8_spl
| ~ sQ2_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f334,f872,f360,f380,f458,f474,f490,f506]) ).
fof(f894,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( sQ1_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f338,f883,f894,f357]) ).
fof(f898,plain,
( sQ4_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f339,f883,f894,f367]) ).
fof(f899,plain,
( ~ sQ16_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f340,f883,f894,f406]) ).
fof(f900,plain,
( ~ sQ21_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f341,f883,f894,f422]) ).
fof(f903,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f344,f883,f894]) ).
fof(f904,plain,
( sQ31_spl
| sQ26_spl
| sQ21_spl
| sQ16_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f345,f883,f357,f367,f406,f422,f438,f454]) ).
fof(f905,plain,
( sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f347,f894,f354]) ).
fof(f907,plain,
( ~ sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f349,f894,f354]) ).
fof(f909,plain,
( ~ sQ10_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f351,f894,f386]) ).
fof(f910,plain,
( ~ sQ15_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f352,f894,f402]) ).
fof(f912,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f113]) ).
fof(f915,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f452,f100]) ).
fof(f918,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f400,f107]) ).
fof(f919,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f400,f106]) ).
fof(f921,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f98]) ).
fof(f922,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f97]) ).
fof(f924,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f530,f123]) ).
fof(f926,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f89]) ).
fof(f927,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f88]) ).
fof(f934,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f501,f119]) ).
fof(f935,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f501,f118]) ).
fof(f938,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f400,f397]) ).
fof(f939,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f129]) ).
fof(f940,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f943,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f94]) ).
fof(f945,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f514]) ).
fof(f946,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f129]) ).
fof(f947,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f501,f498]) ).
fof(f949,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f126]) ).
fof(f950,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f452,f446]) ).
fof(f952,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f127]) ).
fof(f953,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f540,f537]) ).
fof(f955,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f126]) ).
fof(f956,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f530,f524]) ).
fof(f958,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f127]) ).
fof(f959,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f109]) ).
fof(f964,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f390,f105]) ).
fof(f965,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f390,f103]) ).
fof(f967,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f481,f117]) ).
fof(f972,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f81]) ).
fof(f973,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f79]) ).
fof(f974,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f390,f384]) ).
fof(f975,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f130]) ).
fof(f976,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f977,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f468,f462]) ).
fof(f978,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f130]) ).
fof(f979,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f442,f433]) ).
fof(f981,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f128]) ).
fof(f982,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f981]) ).
fof(f983,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f472]) ).
fof(f984,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f128]) ).
fof(f985,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f377,f102]) ).
fof(f987,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f377,f84]) ).
fof(f988,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f416,f108]) ).
fof(f989,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f416,f78]) ).
fof(f990,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f377,f374]) ).
fof(f991,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f131]) ).
fof(f992,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f416,f413]) ).
fof(f994,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f131]) ).
fof(f995,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f998,plain,
( sQ95_spl
| ~ sQ79_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f643,f707]) ).
fof(f1000,plain,
( sQ90_spl
| ~ sQ74_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f627,f688]) ).
fof(f1001,plain,
( sQ98_spl
| ~ sQ74_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f627,f718]) ).
fof(f1006,plain,
( sQ100_spl
| ~ sQ64_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f595,f725]) ).
fof(f1013,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| op(op(e0,e1),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f368,f608]) ).
fof(f1014,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| op(op(e0,e3),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f394,f634]) ).
fof(f1015,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| op(op(e2,e1),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f478,f614]) ).
fof(f1016,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| op(op(e2,e3),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f504,f640]) ).
fof(f1017,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| op(op(e3,e1),e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f533,f617]) ).
fof(f1020,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| op(op(e1,e2),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f439,f624]) ).
fof(f1021,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| op(op(e1,e0),e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f407,f598]) ).
fof(f1022,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f423,f420]) ).
fof(f1023,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f126]) ).
fof(f1024,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f368,f106]) ).
fof(f1027,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f394,f1026]) ).
fof(f1028,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1027]) ).
fof(f1029,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1033,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f397,f104]) ).
fof(f1036,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f520,f121]) ).
fof(f1037,plain,
( ~ sQ51_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f1036]) ).
fof(f1038,plain,
( ~ sQ51_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1037]) ).
fof(f1039,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f520,f83]) ).
fof(f1043,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f504,f119]) ).
fof(f1044,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f478,f118]) ).
fof(f1045,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f504,f1044]) ).
fof(f1046,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1045]) ).
fof(f1047,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f455,f446]) ).
fof(f1049,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f128]) ).
fof(f1050,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f397,f96]) ).
fof(f1052,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f1051]) ).
fof(f1053,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f533,f124]) ).
fof(f1055,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f533,f123]) ).
fof(f1061,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(op(e0,e0),e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f364,f595]) ).
fof(f1063,plain,
( sQ102_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f364,f735]) ).
fof(f1064,plain,
( sQ96_spl
| ~ sQ3_spl
| e2 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f364,f711]) ).
fof(f1067,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f478,f117]) ).
fof(f1069,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f87]) ).
fof(f1070,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f85]) ).
fof(f1072,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f1070]) ).
fof(f1073,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1072]) ).
fof(f1078,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f537,f92]) ).
fof(f1079,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f537,f94]) ).
fof(f1080,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f537,f95]) ).
fof(f1082,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f533,f1017]) ).
fof(f1083,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f1054]) ).
fof(f1084,plain,
( ~ sQ71_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1094,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f410,f407]) ).
fof(f1095,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f126]) ).
fof(f1096,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1100,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f465,f115]) ).
fof(f1101,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f465,f116]) ).
fof(f1102,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(op(e2,e0),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f465,f601]) ).
fof(f1103,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| op(e0,e3) = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f537,f630]) ).
fof(f1106,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f537,f1103]) ).
fof(f1108,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| op(op(e0,e1),e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f371,f608]) ).
fof(f1110,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f371,f84]) ).
fof(f1111,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f371,f105]) ).
fof(f1112,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| ~ sQ15_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f403,f1106]) ).
fof(f1114,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f384,f90]) ).
fof(f1116,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| op(op(e0,e2),e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f384,f621]) ).
fof(f1121,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f101]) ).
fof(f1127,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f355,f80]) ).
fof(f1128,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f465,f83]) ).
fof(f1129,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f537,f121]) ).
fof(f1130,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f559,f122]) ).
fof(f1131,plain,
( ~ sQ48_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f1127]) ).
fof(f1132,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1139,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1078,f380,f536]) ).
fof(f1140,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1079,f432,f536]) ).
fof(f1141,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f498,f118]) ).
fof(f1149,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f368,f1013]) ).
fof(f1150,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f368,f86]) ).
fof(f1152,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f368,f85]) ).
fof(f1153,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| op(op(e1,e2),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f436,f624]) ).
fof(f1154,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f436,f93]) ).
fof(f1156,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f436,f113]) ).
fof(f1165,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f384,f381]) ).
fof(f1166,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f126]) ).
fof(f1167,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1170,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f520,f120]) ).
fof(f1174,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f459]) ).
fof(f1175,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f126]) ).
fof(f1176,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f475,f89]) ).
fof(f1179,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f475,f87]) ).
fof(f1180,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f436,f109]) ).
fof(f1192,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f423,f108]) ).
fof(f1210,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f368,f84]) ).
fof(f1212,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f368,f105]) ).
fof(f1221,plain,
( sQ95_spl
| ~ sQ79_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f550,f998]) ).
fof(f1222,plain,
( sQ95_spl
| ~ sQ79_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1221]) ).
fof(f1223,plain,
( sQ95_spl
| ~ sQ79_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1227,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1100,f490,f464]) ).
fof(f1228,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1101,f503,f464]) ).
fof(f1229,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| e2 = op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1102,f601]) ).
fof(f1232,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1128,f516,f464]) ).
fof(f1239,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f371,f368]) ).
fof(f1242,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f967]) ).
fof(f1243,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1141,f471,f497]) ).
fof(f1246,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1149,f354,f367,f607]) ).
fof(f1247,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1150,f523,f367]) ).
fof(f1249,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1152,f471,f367]) ).
fof(f1252,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f387,f90]) ).
fof(f1253,plain,
( ~ sQ10_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f439,f1252]) ).
fof(f1254,plain,
( ~ sQ10_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1253]) ).
fof(f1255,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f485,f91]) ).
fof(f1258,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f79]) ).
fof(f1259,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f93]) ).
fof(f1260,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1121,f506,f558]) ).
fof(f1264,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f98]) ).
fof(f1266,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f125]) ).
fof(f1270,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1130,f519,f558]) ).
fof(f1276,plain,
( sQ98_spl
| ~ sQ74_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f1001]) ).
fof(f1277,plain,
( sQ98_spl
| ~ sQ74_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1276]) ).
fof(f1278,plain,
( sQ98_spl
| ~ sQ74_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f485,f685]) ).
fof(f1280,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f1279]) ).
fof(f1285,plain,
( sQ83_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f485,f664]) ).
fof(f1286,plain,
( sQ83_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f1285]) ).
fof(f1287,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f358,f1286]) ).
fof(f1288,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1287]) ).
fof(f1289,plain,
( sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f92]) ).
fof(f1293,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f121]) ).
fof(f1299,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f986,f363,f376]) ).
fof(f1300,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f377,f106]) ).
fof(f1303,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f358,f103]) ).
fof(f1304,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f934,f487,f500]) ).
fof(f1305,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f935,f474,f500]) ).
fof(f1310,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f972,f415,f467]) ).
fof(f1311,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f973,f363,f467]) ).
fof(f1316,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f964,f376,f389]) ).
fof(f1317,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f965,f363,f389]) ).
fof(f1321,plain,
( sQ100_spl
| ~ sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1006,f360,f594,f723]) ).
fof(f1325,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f78]) ).
fof(f1330,plain,
( sQ99_spl
| ~ sQ1_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f358,f722]) ).
fof(f1331,plain,
( sQ99_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f358,f1330]) ).
fof(f1336,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f358,f102]) ).
fof(f1342,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1258,f461,f357]) ).
fof(f1343,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f943,f435,f539]) ).
fof(f1344,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f543,f540]) ).
fof(f1345,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f129]) ).
fof(f1346,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1367,plain,
( sQ101_spl
| ~ sQ22_spl
| e0 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f426,f730]) ).
fof(f1379,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f442,f113]) ).
fof(f1380,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| op(op(e1,e2),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f442,f624]) ).
fof(f1382,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f918,f386,f399]) ).
fof(f1383,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f922,f503,f399]) ).
fof(f1385,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f96]) ).
fof(f1389,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f413,f82]) ).
fof(f1391,plain,
( ~ sQ77_spl
| ~ sQ29_spl
| op(op(e1,e3),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f449,f637]) ).
fof(f1392,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f449,f100]) ).
fof(f1397,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f527,f124]) ).
fof(f1400,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f413,f81]) ).
fof(f1403,plain,
( sQ64_spl
| ~ sQ0_spl
| op(op(e0,e0),e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f355,f596]) ).
fof(f1410,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f533,f527]) ).
fof(f1412,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1055,f545,f532]) ).
fof(f1414,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f355,f102]) ).
fof(f1436,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1111,f383,f370]) ).
fof(f1438,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f128]) ).
fof(f1439,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1442,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f514,f122]) ).
fof(f1443,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| op(op(e3,e0),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f514,f604]) ).
fof(f1444,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f924,f542,f529]) ).
fof(f1446,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f926,f477,f529]) ).
fof(f1447,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f426,f927]) ).
fof(f1448,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1447]) ).
fof(f1449,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1451,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f101]) ).
fof(f1452,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f553,f671]) ).
fof(f1457,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1178,f526,f474]) ).
fof(f1478,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1397]) ).
fof(f1479,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1478]) ).
fof(f1480,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1483,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f403,f104]) ).
fof(f1487,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f410,f81]) ).
fof(f1489,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f478,f1015]) ).
fof(f1490,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1067,f490,f477]) ).
fof(f1492,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f381,f90]) ).
fof(f1493,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f381,f103]) ).
fof(f1496,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| op(op(e0,e2),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f381,f621]) ).
fof(f1498,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f491,f488]) ).
fof(f1499,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1498,f129]) ).
fof(f1500,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1501,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f381,f107]) ).
fof(f1509,plain,
( ~ sQ77_spl
| ~ sQ29_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f449,f1391]) ).
fof(f1516,plain,
( sQ96_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f1064]) ).
fof(f1517,plain,
( sQ102_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f1063]) ).
fof(f1523,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f364,f80]) ).
fof(f1530,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1110,f422,f370]) ).
fof(f1543,plain,
( sQ81_spl
| ~ sQ62_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f556,f657]) ).
fof(f1544,plain,
( sQ81_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f1543]) ).
fof(f1545,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f556,f125]) ).
fof(f1548,plain,
( sQ86_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f556,f674]) ).
fof(f1550,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f85]) ).
fof(f1552,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1492,f432,f380]) ).
fof(f1553,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1493,f354,f380]) ).
fof(f1555,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f381,f1496]) ).
fof(f1556,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f364,f1555]) ).
fof(f1557,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f128]) ).
fof(f1558,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1560,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1154,f487,f435]) ).
fof(f1561,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1156,f448,f435]) ).
fof(f1562,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f436,f1153]) ).
fof(f1567,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| op(e1,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f514,f1443]) ).
fof(f1568,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f514,f120]) ).
fof(f1569,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f514,f83]) ).
fof(f1570,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f514,f121]) ).
fof(f1575,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f429,f87]) ).
fof(f1577,plain,
( sQ92_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f429,f695]) ).
fof(f1579,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f429,f88]) ).
fof(f1580,plain,
( sQ87_spl
| ~ sQ23_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f429,f678]) ).
fof(f1582,plain,
( sQ101_spl
| ~ sQ23_spl
| e0 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f429,f730]) ).
fof(f1584,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f95]) ).
fof(f1588,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f82]) ).
fof(f1598,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(op(e2,e0),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1229,f601]) ).
fof(f1606,plain,
( sQ96_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f556,f1516]) ).
fof(f1607,plain,
( sQ96_spl
| ~ sQ3_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1606]) ).
fof(f1608,plain,
( sQ96_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1612,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1523,f519,f363]) ).
fof(f1619,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| op(op(e2,e1),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f481,f614]) ).
fof(f1623,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1379,f454,f441]) ).
fof(f1624,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f442,f1380]) ).
fof(f1628,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f442,f439]) ).
fof(f1629,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1628,f131]) ).
fof(f1630,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1632,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f1633,f1020]) ).
fof(f1633,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| e2 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1020,f624]) ).
fof(f1642,plain,
( sQ81_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f550,f657]) ).
fof(f1643,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f125]) ).
fof(f1647,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| e0 = op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f706]) ).
fof(f1648,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f100]) ).
fof(f1655,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f1656,f92]) ).
fof(f1656,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f481,f1619]) ).
fof(f1659,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f91]) ).
fof(f1665,plain,
( sQ84_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f488,f667]) ).
fof(f1666,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f912,f438,f451]) ).
fof(f1667,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f915,f555,f451]) ).
fof(f1670,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f112]) ).
fof(f1675,plain,
( sQ64_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f355,f1403]) ).
fof(f1680,plain,
( sQ96_spl
| ~ sQ0_spl
| e2 != op(op(e0,e0),e0) ),
inference(backward_demodulation,[status(thm)],[f355,f711]) ).
fof(f1685,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f355,f78]) ).
fof(f1688,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1414,f367,f354]) ).
fof(f1694,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1567,f448,f513,f603]) ).
fof(f1695,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1568,f526,f513]) ).
fof(f1697,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1588,f409,f513]) ).
fof(f1703,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1544,f487,f555,f655]) ).
fof(f1706,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1489,f490,f477,f613]) ).
fof(f1710,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f88]) ).
fof(f1711,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f86]) ).
fof(f1717,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f368,f105]) ).
fof(f1720,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1212,f380,f367]) ).
fof(f1721,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f988,f428,f415]) ).
fof(f1722,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f989,f363,f415]) ).
fof(f1728,plain,
( ~ sQ85_spl
| ~ sQ62_spl
| e2 = op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f556,f670]) ).
fof(f1730,plain,
( ~ sQ85_spl
| ~ sQ62_spl
| e2 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f1728]) ).
fof(f1732,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f403,f107]) ).
fof(f1733,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f403,f97]) ).
fof(f1736,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1483,f363,f402]) ).
fof(f1737,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1575,f480,f428]) ).
fof(f1763,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1501,f393,f380]) ).
fof(f1766,plain,
( ~ sQ77_spl
| ~ sQ29_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1509,f422,f448,f636]) ).
fof(f1774,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1336,f370,f357]) ).
fof(f1775,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1331,f428,f357,f720]) ).
fof(f1780,plain,
( sQ95_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f556,f707]) ).
fof(f1781,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f1780]) ).
fof(f1782,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1781]) ).
fof(f1783,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1784,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f465,f79]) ).
fof(f1789,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f82]) ).
fof(f1794,plain,
( sQ93_spl
| ~ sQ62_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f556,f699]) ).
fof(f1795,plain,
( sQ93_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f1794]) ).
fof(f1811,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1711,f370,f526]) ).
fof(f1813,plain,
( ~ sQ18_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f413,f110]) ).
fof(f1814,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f413,f78]) ).
fof(f1815,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1400,f464,f412]) ).
fof(f1816,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f394,f1014]) ).
fof(f1819,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f394,f96]) ).
fof(f1820,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f394,f104]) ).
fof(f1824,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f546,f92]) ).
fof(f1828,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1545,f542,f555]) ).
fof(f1836,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f413,f108]) ).
fof(f1839,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f420,f87]) ).
fof(f1841,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f420,f112]) ).
fof(f1844,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f420,f692]) ).
fof(f1845,plain,
( sQ87_spl
| ~ sQ20_spl
| e2 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f420,f678]) ).
fof(f1846,plain,
( sQ88_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f420,f681]) ).
fof(f1847,plain,
( sQ92_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f420,f695]) ).
fof(f1854,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1550,f474,f370]) ).
fof(f1855,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f371,f1108]) ).
fof(f1856,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f1855]) ).
fof(f1857,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f129]) ).
fof(f1858,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1864,plain,
( sQ104_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f361,f743]) ).
fof(f1866,plain,
( sQ99_spl
| ~ sQ2_spl
| e3 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f361,f722]) ).
fof(f1867,plain,
( sQ102_spl
| ~ sQ2_spl
| e1 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f361,f735]) ).
fof(f1868,plain,
( sQ97_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f361,f714]) ).
fof(f1870,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1291,f386,f542]) ).
fof(f1871,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1293,f516,f542]) ).
fof(f1874,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1813,f451,f412]) ).
fof(f1875,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1814,f360,f412]) ).
fof(f1876,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f543,f95]) ).
fof(f1887,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f488,f685]) ).
fof(f1890,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f115]) ).
fof(f1891,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1665,f441,f487,f665]) ).
fof(f1892,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1659,f383,f487]) ).
fof(f1893,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1069,f425,f477]) ).
fof(f1900,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1579,f532,f428]) ).
fof(f1905,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f429,f420]) ).
fof(f1919,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f361,f80]) ).
fof(f1921,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1389,f516,f412]) ).
fof(f1938,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1670,f425,f451]) ).
fof(f1947,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f494,f488]) ).
fof(f1957,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1839,f471,f419]) ).
fof(f1958,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1841,f445,f419]) ).
fof(f1962,plain,
( sQ88_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1846,f376,f419,f679]) ).
fof(f1966,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1033,f357,f396]) ).
fof(f1979,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1256,f380,f484]) ).
fof(f1980,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f494,f485]) ).
fof(f1981,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1980,f128]) ).
fof(f1982,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1984,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1789,f406,f510]) ).
fof(f1987,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f511,f122]) ).
fof(f1994,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| op(e3,e1) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f429,f611]) ).
fof(f1995,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ53_spl
| e1 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f527,f1994]) ).
fof(f1996,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f429,f1995]) ).
fof(f1997,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1996,f130]) ).
fof(f1998,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f1999,plain,
( sQ90_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f494,f688]) ).
fof(f2005,plain,
( sQ94_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f494,f703]) ).
fof(f2006,plain,
( sQ94_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f2005]) ).
fof(f2008,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f494,f115]) ).
fof(f2009,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1577,f529,f428,f693]) ).
fof(f2012,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1584,f493,f545]) ).
fof(f2018,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f374,f86]) ).
fof(f2023,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f374,f105]) ).
fof(f2024,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1570,f539,f513]) ).
fof(f2037,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1819,f445,f393]) ).
fof(f2038,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1820,f354,f393]) ).
fof(f2044,plain,
( sQ64_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1675,f354,f594]) ).
fof(f2052,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f394,f97]) ).
fof(f2054,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1816,f104]) ).
fof(f2055,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f394,f2054]) ).
fof(f2056,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2055]) ).
fof(f2057,plain,
( ~ sQ76_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1392,f552,f448]) ).
fof(f2073,plain,
( sQ102_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1517,f552,f363,f733]) ).
fof(f2074,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f364,f1061]) ).
fof(f2075,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2074,f521]) ).
fof(f2076,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1624,f532,f441,f623]) ).
fof(f2079,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f442,f93]) ).
fof(f2082,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f111]) ).
fof(f2083,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f442,f94]) ).
fof(f2086,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f90]) ).
fof(f2087,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f961,f415,f441]) ).
fof(f2100,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f124]) ).
fof(f2105,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f101]) ).
fof(f2106,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1548,f500,f555,f672]) ).
fof(f2108,plain,
( sQ93_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1795,f484,f555,f697]) ).
fof(f2110,plain,
( ~ sQ85_spl
| ~ sQ62_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1730,f490,f555,f669]) ).
fof(f2118,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1710,f422,f526]) ).
fof(f2123,plain,
( sQ90_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f485,f688]) ).
fof(f2129,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f485,f91]) ).
fof(f2134,plain,
( sQ101_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f426,f1367]) ).
fof(f2164,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1784,f360,f464]) ).
fof(f2173,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1192,f409,f422]) ).
fof(f2179,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f426,f423]) ).
fof(f2180,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f129]) ).
fof(f2181,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2180]) ).
fof(f2187,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2018,f529,f373]) ).
fof(f2188,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2023,f386,f373]) ).
fof(f2193,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1824,f389,f545]) ).
fof(f2199,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1266,f545,f558]) ).
fof(f2204,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2082,f428,f441]) ).
fof(f2205,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2083,f545,f441]) ).
fof(f2206,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2086,f389,f441]) ).
fof(f2207,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2100,f529,f555]) ).
fof(f2210,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2105,f503,f555]) ).
fof(f2212,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f429,f112]) ).
fof(f2214,plain,
( sQ69_spl
| ~ sQ23_spl
| op(op(e1,e1),e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f429,f612]) ).
fof(f2216,plain,
( sQ101_spl
| ~ sQ23_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f429,f1582]) ).
fof(f2229,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1836,f425,f412]) ).
fof(f2242,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1442,f552,f513]) ).
fof(f2248,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1129,f510,f536]) ).
fof(f2252,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1080,f484,f536]) ).
fof(f2254,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f504,f1016]) ).
fof(f2258,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f504,f99]) ).
fof(f2262,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1043,f490,f503]) ).
fof(f2279,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1987,f549,f510]) ).
fof(f2294,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1451,f500,f552]) ).
fof(f2305,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f553,f1452]) ).
fof(f2316,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f921,f555,f399]) ).
fof(f2318,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f919,f373,f399]) ).
fof(f2330,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f524,f89]) ).
fof(f2337,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f122]) ).
fof(f2341,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f400,f104]) ).
fof(f2342,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1259,f432,f484]) ).
fof(f2345,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f524,f124]) ).
fof(f2352,plain,
( sQ69_spl
| ~ sQ21_spl
| op(op(e1,e1),e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f423,f612]) ).
fof(f2359,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f423,f112]) ).
fof(f2385,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2330,f471,f523]) ).
fof(f2387,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2345,f549,f523]) ).
fof(f2391,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f488,f1887]) ).
fof(f2394,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f93]) ).
fof(f2399,plain,
( sQ94_spl
| ~ sQ41_spl
| e0 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f488,f703]) ).
fof(f2404,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1947,f130]) ).
fof(f2405,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2404]) ).
fof(f2416,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f125]) ).
fof(f2444,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f116]) ).
fof(f2447,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f118]) ).
fof(f2473,plain,
( sQ100_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f364,f725]) ).
fof(f2484,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1280,f363,f484,f683]) ).
fof(f2485,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2123,f383,f484,f686]) ).
fof(f2496,plain,
( sQ94_spl
| ~ sQ40_spl
| e0 != op(op(e2,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f485,f703]) ).
fof(f2504,plain,
( sQ101_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2134,f484,f425,f728]) ).
fof(f2535,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f465,f1598]) ).
fof(f2536,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2535,f1876]) ).
fof(f2537,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2539,plain,
( ~ sQ98_spl
| ~ sQ40_spl
| e0 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f485,f717]) ).
fof(f2540,plain,
( ~ sQ98_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2539,f2129]) ).
fof(f2541,plain,
( ~ sQ98_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2540]) ).
fof(f2543,plain,
( sQ100_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2473,f516,f363,f723]) ).
fof(f2546,plain,
( ~ sQ93_spl
| ~ sQ85_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f670,f698]) ).
fof(f2547,plain,
( ~ sQ93_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f127]) ).
fof(f2548,plain,
( ~ sQ93_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2549,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1643,f536,f549]) ).
fof(f2550,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1648,f445,f549]) ).
fof(f2551,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f98]) ).
fof(f2556,plain,
( sQ86_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f674]) ).
fof(f2560,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f459,f83]) ).
fof(f2571,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f397,f106]) ).
fof(f2574,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f459,f115]) ).
fof(f2576,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2391,f428,f487,f683]) ).
fof(f2579,plain,
( sQ94_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f488,f2399]) ).
fof(f2588,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f488,f95]) ).
fof(f2624,plain,
( sQ98_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f488,f718]) ).
fof(f2639,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| op(e0,e2) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f459,f601]) ).
fof(f2640,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f459,f2639]) ).
fof(f2641,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2640,f1717]) ).
fof(f2642,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2644,plain,
( ~ sQ90_spl
| ~ sQ41_spl
| e1 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f488,f687]) ).
fof(f2645,plain,
( ~ sQ90_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2644,f2394]) ).
fof(f2646,plain,
( ~ sQ90_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2650,plain,
( sQ104_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f364,f743]) ).
fof(f2663,plain,
( sQ103_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f426,f739]) ).
fof(f2664,plain,
( sQ87_spl
| ~ sQ22_spl
| e2 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f426,f678]) ).
fof(f2670,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f397,f98]) ).
fof(f2687,plain,
( sQ94_spl
| ~ sQ40_spl
| e0 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f2496]) ).
fof(f2703,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f485,f119]) ).
fof(f2710,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f527,f123]) ).
fof(f2729,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2556,f396,f549,f672]) ).
fof(f2741,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f550,f671]) ).
fof(f2743,plain,
( sQ81_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f1642]) ).
fof(f2745,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1647,f393,f549,f705]) ).
fof(f2759,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2254,f490,f503,f639]) ).
fof(f2797,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f407,f1021]) ).
fof(f2821,plain,
( sQ84_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f485,f667]) ).
fof(f2830,plain,
( sQ88_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f681]) ).
fof(f2831,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f481,f2830]) ).
fof(f2832,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2831]) ).
fof(f2833,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2832]) ).
fof(f2844,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f462,f116]) ).
fof(f2849,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| op(e2,e0) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f387,f621]) ).
fof(f2850,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| ~ sQ33_spl
| e1 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f2849]) ).
fof(f2851,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f387,f2850]) ).
fof(f2852,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2851,f129]) ).
fof(f2853,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2852]) ).
fof(f2856,plain,
( sQ104_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2650,f513,f363,f741]) ).
fof(f2876,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2212,f454,f428]) ).
fof(f2877,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2214,f679,f428,f610]) ).
fof(f2878,plain,
( sQ87_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f429,f1580]) ).
fof(f2882,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1905,f128]) ).
fof(f2883,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2882]) ).
fof(f2884,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2670,f552,f396]) ).
fof(f2885,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2571,f370,f396]) ).
fof(f2893,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f420,f1844]) ).
fof(f2894,plain,
( sQ87_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f420,f1845]) ).
fof(f2897,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f420,f88]) ).
fof(f2904,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2447,f480,f506]) ).
fof(f2913,plain,
( ~ sQ88_spl
| ~ sQ20_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f420,f680]) ).
fof(f2917,plain,
( sQ94_spl
| ~ sQ40_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2687,f354,f484,f701]) ).
fof(f2923,plain,
( sQ94_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2579,f419,f487,f701]) ).
fof(f2929,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2588,f539,f487]) ).
fof(f2930,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f488,f485]) ).
fof(f2935,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f550,f2741]) ).
fof(f2960,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2416,f539,f552]) ).
fof(f2975,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1685,f406,f354]) ).
fof(f2978,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f355,f79]) ).
fof(f2982,plain,
( sQ96_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1680,f723,f354,f709]) ).
fof(f2984,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2703,f497,f484]) ).
fof(f3031,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1569,f461,f513]) ).
fof(f3046,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f374,f84]) ).
fof(f3088,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2359,f448,f422]) ).
fof(f3101,plain,
( sQ69_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f423,f2352]) ).
fof(f3102,plain,
( sQ69_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f423,f3101]) ).
fof(f3103,plain,
( sQ69_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3102]) ).
fof(f3104,plain,
( sQ69_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3103]) ).
fof(f3107,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3046,f425,f373]) ).
fof(f3110,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2663,f471,f425,f737]) ).
fof(f3112,plain,
( sQ87_spl
| ~ sQ22_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f426,f2664]) ).
fof(f3119,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2935,f360,f549,f669]) ).
fof(f3134,plain,
( sQ81_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2743,f357,f549,f655]) ).
fof(f3140,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2551,f393,f549]) ).
fof(f3149,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1410,f130]) ).
fof(f3150,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3149]) ).
fof(f3154,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f426,f692]) ).
fof(f3155,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f426,f3154]) ).
fof(f3160,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f87]) ).
fof(f3163,plain,
( sQ97_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1868,f467,f360,f712]) ).
fof(f3164,plain,
( sQ102_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f361,f1867]) ).
fof(f3165,plain,
( sQ99_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f361,f1866]) ).
fof(f3168,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f361,f102]) ).
fof(f3177,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1919,f516,f360]) ).
fof(f3181,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1170,f532,f519]) ).
fof(f3188,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1040,f467,f519]) ).
fof(f3205,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1562,f422,f435,f623]) ).
fof(f3207,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1180,f409,f435]) ).
fof(f3217,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3112,f490,f425,f676]) ).
fof(f3220,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2337,f516,f555]) ).
fof(f3226,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f533,f124]) ).
fof(f3237,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f556,f553]) ).
fof(f3238,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3237,f129]) ).
fof(f3239,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3238]) ).
fof(f3279,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f384,f92]) ).
fof(f3295,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| op(op(e1,e0),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f410,f598]) ).
fof(f3308,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| op(e2,e1) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f611]) ).
fof(f3314,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1733,f506,f402]) ).
fof(f3321,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2444,f467,f506]) ).
fof(f3332,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2560,f510,f458]) ).
fof(f3335,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f468,f459]) ).
fof(f3336,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3335,f128]) ).
fof(f3337,plain,
( ~ sQ32_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3336]) ).
fof(f3339,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2574,f484,f458]) ).
fof(f3340,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f670,f656]) ).
fof(f3341,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3340,f129]) ).
fof(f3342,plain,
( ~ sQ81_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3341]) ).
fof(f3352,plain,
( sQ82_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f660]) ).
fof(f3356,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1325,f409,f357]) ).
fof(f3357,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2710,f539,f526]) ).
fof(f3371,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f459,f81]) ).
fof(f3419,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f3295]) ).
fof(f3420,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3419,f424]) ).
fof(f3421,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3420]) ).
fof(f3422,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1487,f461,f409]) ).
fof(f3432,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1732,f389,f402]) ).
fof(f3435,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f433,f111]) ).
fof(f3444,plain,
( sQ90_spl
| ~ sQ74_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1000,f487,f626,f686]) ).
fof(f3452,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1890,f461,f487]) ).
fof(f3456,plain,
( sQ98_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2624,f432,f487,f716]) ).
fof(f3459,plain,
( sQ95_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f553,f707]) ).
fof(f3461,plain,
( sQ93_spl
| ~ sQ61_spl
| e0 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f553,f699]) ).
fof(f3469,plain,
( sQ102_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3164,f487,f360,f733]) ).
fof(f3471,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3168,f373,f360]) ).
fof(f3488,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f126]) ).
fof(f3489,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3488]) ).
fof(f3622,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| op(op(e2,e2),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f494,f627]) ).
fof(f3628,plain,
( sQ94_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2006,f549,f493,f701]) ).
fof(f3713,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f407,f109]) ).
fof(f3720,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f494,f3622]) ).
fof(f3744,plain,
( sQ90_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1999,f539,f493,f686]) ).
fof(f3750,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3226,f558,f532]) ).
fof(f3754,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2079,f493,f441]) ).
fof(f3767,plain,
( sQ91_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2893,f363,f419,f690]) ).
fof(f3769,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2897,f523,f419]) ).
fof(f3777,plain,
( sQ92_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1847,f373,f419,f693]) ).
fof(f3782,plain,
( ~ sQ88_spl
| ~ sQ20_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f2913,f376,f419,f679]) ).
fof(f3810,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f459,f116]) ).
fof(f3830,plain,
( sQ101_spl
| ~ sQ23_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2216,f549,f428,f728]) ).
fof(f3833,plain,
( sQ82_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3352,f399,f549,f658]) ).
fof(f3839,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f364,f358]) ).
fof(f3840,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3839,f130]) ).
fof(f3841,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3840]) ).
fof(f3849,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1210,f419,f367]) ).
fof(f3865,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1385,f451,f399]) ).
fof(f3867,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2341,f360,f399]) ).
fof(f3869,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f384,f1116]) ).
fof(f3876,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1114,f435,f383]) ).
fof(f3896,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2894,f360,f419,f676]) ).
fof(f3952,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2844,f500,f461]) ).
fof(f3972,plain,
( sQ76_spl
| ~ sQ14_spl
| op(e2,e0) != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f400,f635]) ).
fof(f3973,plain,
( sQ76_spl
| ~ sQ14_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f400,f3972]) ).
fof(f4021,plain,
( sQ95_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3459,f445,f552,f705]) ).
fof(f4024,plain,
( sQ93_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f553,f3461]) ).
fof(f4035,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2305,f425,f552,f669]) ).
fof(f4077,plain,
( ~ sQ34_spl
| sQ76_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f3973]) ).
fof(f4078,plain,
( ~ sQ34_spl
| sQ76_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4077]) ).
fof(f4088,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2878,f555,f428,f676]) ).
fof(f4104,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1303,f383,f357]) ).
fof(f4109,plain,
( sQ100_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f725]) ).
fof(f4123,plain,
( sQ83_spl
| ~ sQ43_spl
| e1 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f494,f664]) ).
fof(f4130,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3279,f539,f383]) ).
fof(f4172,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3869,f409,f383,f620]) ).
fof(f4199,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3713,f432,f406]) ).
fof(f4200,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2797,f367,f406,f597]) ).
fof(f4209,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3435,f419,f432]) ).
fof(f4216,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2052,f497,f393]) ).
fof(f4228,plain,
( ~ sQ90_spl
| ~ sQ43_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f494,f687]) ).
fof(f4230,plain,
( sQ83_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f4123]) ).
fof(f4232,plain,
( sQ99_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3165,f493,f360,f720]) ).
fof(f4255,plain,
( sQ57_spl
| ~ sQ90_spl
| ~ sQ43_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f4228,f541]) ).
fof(f4256,plain,
( sQ57_spl
| ~ sQ90_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4255]) ).
fof(f4257,plain,
( sQ57_spl
| ~ sQ90_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4256]) ).
fof(f4258,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2008,f467,f493]) ).
fof(f4293,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1264,f402,f558]) ).
fof(f4335,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f987,f428,f376]) ).
fof(f4336,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1300,f402,f376]) ).
fof(f4392,plain,
( sQ93_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4024,f419,f552,f697]) ).
fof(f4423,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f94]) ).
fof(f4536,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| e0 = op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f485,f702]) ).
fof(f4537,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| e0 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f4536]) ).
fof(f4538,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| ~ sQ2_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f361,f4537]) ).
fof(f4539,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4538,f127]) ).
fof(f4540,plain,
( ~ sQ94_spl
| ~ sQ40_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4539]) ).
fof(f4577,plain,
( sQ82_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f553,f660]) ).
fof(f4578,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f452,f4577]) ).
fof(f4579,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4578]) ).
fof(f4580,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4579]) ).
fof(f4583,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4423,f438,f542]) ).
fof(f4599,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2930,f126]) ).
fof(f4600,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f4599]) ).
fof(f4621,plain,
( sQ96_spl
| ~ sQ1_spl
| e2 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f358,f711]) ).
fof(f4654,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1632,f477,f438,f623]) ).
fof(f4656,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2821,f389,f484,f665]) ).
fof(f4838,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1855,f409,f370,f607]) ).
fof(f4930,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| op(e2,e0) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f361,f595]) ).
fof(f4931,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e1 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f462,f4930]) ).
fof(f4932,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f361,f4931]) ).
fof(f4933,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4932,f129]) ).
fof(f4934,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f4933]) ).
fof(f4967,plain,
( sQ103_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f429,f739]) ).
fof(f4968,plain,
( sQ103_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f4967]) ).
fof(f4969,plain,
( sQ103_spl
| ~ sQ23_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4968]) ).
fof(f4970,plain,
( sQ103_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4969]) ).
fof(f4988,plain,
( sQ96_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f4621]) ).
fof(f4999,plain,
( sQ100_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4109,f412,f357,f723]) ).
fof(f5075,plain,
( ~ sQ103_spl
| ~ sQ23_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f429,f738]) ).
fof(f5085,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1864,f461,f360,f741]) ).
fof(f5087,plain,
( sQ98_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f494,f718]) ).
fof(f5092,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f494,f91]) ).
fof(f5097,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4230,f552,f493,f662]) ).
fof(f5098,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3720,f545,f493,f626]) ).
fof(f5235,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| op(e3,e1) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f429,f611]) ).
fof(f5236,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ103_spl
| e0 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f5075,f5235]) ).
fof(f5237,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ103_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f429,f5236]) ).
fof(f5238,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5237,f128]) ).
fof(f5239,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f5238]) ).
fof(f5246,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5092,f389,f493]) ).
fof(f5266,plain,
( sQ91_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3155,f493,f425,f690]) ).
fof(f5267,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f426,f3308]) ).
fof(f5268,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5267,f3160]) ).
fof(f5269,plain,
( ~ sQ69_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5268]) ).
fof(f5271,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2978,f458,f354]) ).
fof(f5288,plain,
( ~ sQ96_spl
| ~ sQ0_spl
| e2 = op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f355,f710]) ).
fof(f5289,plain,
( ~ sQ96_spl
| ~ sQ0_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f355,f5288]) ).
fof(f5290,plain,
( ~ sQ96_spl
| ~ sQ0_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5289,f362]) ).
fof(f5291,plain,
( ~ sQ96_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5290]) ).
fof(f5302,plain,
( sQ98_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5087,f536,f493,f716]) ).
fof(f5329,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2258,f451,f503]) ).
fof(f5339,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3810,f497,f458]) ).
fof(f5349,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3371,f406,f458]) ).
fof(f5358,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1179,f422,f474]) ).
fof(f5376,plain,
( sQ96_spl
| ~ sQ1_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4988,f425,f357,f709]) ).
fof(f5514,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1655,f389,f480,f613]) ).
fof(f5641,plain,
( sQ97_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f714]) ).
fof(f5642,plain,
( sQ97_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f416,f5641]) ).
fof(f5643,plain,
( sQ97_spl
| ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5642]) ).
fof(f5644,plain,
( sQ97_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5643]) ).
fof(f5645,plain,
$false,
inference(sat_refutation,[status(thm)],[f366,f379,f392,f405,f418,f431,f444,f457,f470,f483,f496,f509,f522,f535,f548,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f606,f619,f632,f649,f651,f652,f653,f654,f661,f668,f675,f682,f689,f696,f700,f704,f708,f715,f719,f726,f727,f731,f732,f736,f740,f744,f745,f746,f747,f748,f749,f750,f754,f755,f756,f758,f759,f760,f765,f766,f767,f768,f769,f770,f771,f776,f777,f778,f779,f780,f781,f782,f787,f788,f789,f790,f791,f792,f793,f798,f800,f802,f803,f804,f809,f810,f812,f813,f815,f820,f821,f822,f823,f824,f825,f826,f831,f832,f833,f834,f835,f836,f837,f838,f842,f843,f844,f845,f846,f847,f848,f853,f856,f859,f864,f865,f866,f867,f870,f875,f876,f877,f878,f879,f880,f881,f886,f887,f888,f889,f890,f892,f893,f897,f898,f899,f900,f903,f904,f905,f907,f909,f910,f940,f947,f950,f953,f956,f959,f976,f979,f982,f985,f992,f995,f1024,f1029,f1039,f1047,f1050,f1053,f1073,f1084,f1096,f1132,f1139,f1140,f1167,f1176,f1223,f1227,f1228,f1232,f1243,f1244,f1246,f1247,f1249,f1255,f1260,f1270,f1278,f1289,f1299,f1304,f1305,f1310,f1311,f1316,f1317,f1321,f1342,f1343,f1346,f1382,f1383,f1412,f1436,f1439,f1444,f1446,f1449,f1457,f1480,f1490,f1500,f1530,f1552,f1553,f1558,f1560,f1561,f1608,f1612,f1623,f1630,f1666,f1667,f1688,f1694,f1695,f1697,f1703,f1706,f1720,f1721,f1722,f1736,f1737,f1763,f1766,f1774,f1775,f1783,f1811,f1815,f1828,f1854,f1858,f1870,f1871,f1874,f1875,f1891,f1892,f1893,f1900,f1921,f1938,f1957,f1958,f1962,f1966,f1979,f1982,f1984,f1998,f2009,f2012,f2024,f2037,f2038,f2044,f2057,f2058,f2073,f2076,f2077,f2087,f2106,f2108,f2110,f2118,f2164,f2173,f2181,f2187,f2188,f2193,f2199,f2204,f2205,f2206,f2207,f2210,f2229,f2242,f2248,f2252,f2262,f2279,f2294,f2316,f2318,f2342,f2385,f2387,f2405,f2484,f2485,f2504,f2537,f2541,f2543,f2548,f2549,f2550,f2576,f2642,f2646,f2729,f2745,f2759,f2833,f2853,f2856,f2876,f2877,f2883,f2884,f2885,f2904,f2917,f2923,f2929,f2960,f2975,f2982,f2984,f3031,f3088,f3104,f3107,f3110,f3119,f3134,f3140,f3150,f3163,f3177,f3181,f3188,f3205,f3207,f3217,f3220,f3239,f3314,f3321,f3332,f3337,f3339,f3342,f3356,f3357,f3421,f3422,f3432,f3444,f3452,f3456,f3469,f3471,f3489,f3628,f3744,f3750,f3754,f3767,f3769,f3777,f3782,f3830,f3833,f3841,f3849,f3865,f3867,f3876,f3896,f3952,f4021,f4035,f4078,f4088,f4104,f4130,f4172,f4199,f4200,f4209,f4216,f4232,f4257,f4258,f4293,f4335,f4336,f4392,f4540,f4580,f4583,f4600,f4654,f4656,f4838,f4934,f4970,f4999,f5085,f5097,f5098,f5239,f5246,f5266,f5269,f5271,f5291,f5302,f5329,f5339,f5349,f5358,f5376,f5514,f5644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG133+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:58:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 3.49/0.87 % Refutation found
% 3.49/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.49/0.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.49/0.89 % Elapsed time: 0.518916 seconds
% 3.49/0.89 % CPU time: 3.830811 seconds
% 3.49/0.89 % Total memory used: 61.491 MB
% 3.49/0.89 % Net memory used: 60.402 MB
%------------------------------------------------------------------------------