%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG145+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 : n003.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 11:48:37 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.57s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 156
% Syntax : Number of formulae : 1382 ( 55 unt; 133 def)
% Number of atoms : 4973 (2575 equ)
% Maximal formula atoms : 176 ( 3 avg)
% Number of connectives : 6386 (2795 ~;2419 |;1025 &)
% ( 147 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 135 ( 133 usr; 134 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e0) != e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) != e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e2,e0) != e2 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e3) != e1 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e2) != e1 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) != e1 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e1,e0) != e1 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP0_prd )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e0) != e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) != e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e2,e0) != e2 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e3) != e1 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e2) != e1 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) != e1 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e1,e0) != e1 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f135,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f145,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f150,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f153,plain,
( op(e3,op(e3,e1)) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f154,plain,
( op(e3,op(e3,e2)) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f155,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f156,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f157,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f159,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f162,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f163,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f165,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f167,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f169,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f171,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f173,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f175,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f178,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f179,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f181,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f183,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f186,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f187,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f189,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f193,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f196,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f197,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f199,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f204,definition,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f205,plain,
( sP0_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f204]) ).
fof(f206,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e3,e2) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( op(e2,e3) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f209,plain,
( op(e3,op(e3,e0)) != e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f210,plain,
( op(e3,op(e3,e1)) != e1
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f211,plain,
( op(e3,op(e3,e2)) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f212,plain,
( op(e3,op(e3,e3)) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f213,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f215,definition,
( sP2_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f216,plain,
( sP1_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f215]) ).
fof(f217,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e1) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
( op(e1,e3) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f220,plain,
( op(e3,op(e3,e0)) != e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f221,plain,
( op(e3,op(e3,e1)) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f222,plain,
( op(e3,op(e3,e2)) != e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f223,plain,
( op(e3,op(e3,e3)) != e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f224,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f226,definition,
( sP3_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f227,plain,
( sP2_prd
<=> ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f215,f226]) ).
fof(f228,plain,
( ( ( ( op(e3,op(e3,e3)) = e3
| op(e3,op(e3,e2)) = e2
| op(e3,op(e3,e1)) = e1
| op(e3,op(e3,e0)) = e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e2)) != e2
& op(e3,op(e3,e1)) != e1
& op(e3,op(e3,e0)) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e3,e0) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e0,e3) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e3,op(e3,e0)) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
( op(e3,op(e3,e1)) != e1
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f233,plain,
( op(e3,op(e3,e2)) != e2
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f234,plain,
( op(e3,op(e3,e3)) != e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f235,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f237,definition,
( sP4_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f238,plain,
( sP3_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f226,f237]) ).
fof(f239,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e2,e3) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( op(e3,e2) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f242,plain,
( op(e2,op(e2,e0)) != e0
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f243,plain,
( op(e2,op(e2,e1)) != e1
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f244,plain,
( op(e2,op(e2,e2)) != e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f245,plain,
( op(e2,op(e2,e3)) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f246,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f248,definition,
( sP5_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f249,plain,
( sP4_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f237,f248]) ).
fof(f250,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f255,plain,
( op(e2,op(e2,e2)) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f256,plain,
( op(e2,op(e2,e3)) != e3
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f257,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f259,definition,
( sP6_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f260,plain,
( sP5_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f248,f259]) ).
fof(f261,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e2,e1) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( op(e1,e2) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f264,plain,
( op(e2,op(e2,e0)) != e0
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f265,plain,
( op(e2,op(e2,e1)) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f266,plain,
( op(e2,op(e2,e2)) != e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f267,plain,
( op(e2,op(e2,e3)) != e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f268,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f270,definition,
( sP7_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f271,plain,
( sP6_prd
<=> ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f259,f270]) ).
fof(f272,plain,
( ( ( ( op(e2,op(e2,e3)) = e3
| op(e2,op(e2,e2)) = e2
| op(e2,op(e2,e1)) = e1
| op(e2,op(e2,e0)) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e2,op(e2,e3)) != e3
& op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e1)) != e1
& op(e2,op(e2,e0)) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e2,e0) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( op(e0,e2) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( op(e2,op(e2,e0)) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f276,plain,
( op(e2,op(e2,e1)) != e1
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f277,plain,
( op(e2,op(e2,e2)) != e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f278,plain,
( op(e2,op(e2,e3)) != e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f279,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f281,definition,
( sP8_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f282,plain,
( sP7_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f270,f281]) ).
fof(f283,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e1,e3) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f285,plain,
( op(e3,e1) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f286,plain,
( op(e1,op(e1,e0)) != e0
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f287,plain,
( op(e1,op(e1,e1)) != e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f288,plain,
( op(e1,op(e1,e2)) != e2
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f289,plain,
( op(e1,op(e1,e3)) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f290,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f292,definition,
( sP9_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f293,plain,
( sP8_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f281,f292]) ).
fof(f294,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e1,e2) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f296,plain,
( op(e2,e1) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f297,plain,
( op(e1,op(e1,e0)) != e0
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f299,plain,
( op(e1,op(e1,e2)) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f300,plain,
( op(e1,op(e1,e3)) != e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f301,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f303,definition,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f304,plain,
( sP9_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f292,f303]) ).
fof(f305,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( op(e1,e1) = e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,plain,
( op(e1,op(e1,e1)) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f312,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f314,definition,
( sP11_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f315,plain,
( sP10_prd
<=> ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f303,f314]) ).
fof(f316,plain,
( ( ( ( op(e1,op(e1,e3)) = e3
| op(e1,op(e1,e2)) = e2
| op(e1,op(e1,e1)) = e1
| op(e1,op(e1,e0)) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e1,op(e1,e3)) != e3
& op(e1,op(e1,e2)) != e2
& op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e0)) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e1,e0) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( op(e0,e1) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f319,plain,
( op(e1,op(e1,e0)) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f320,plain,
( op(e1,op(e1,e1)) != e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f321,plain,
( op(e1,op(e1,e2)) != e2
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f322,plain,
( op(e1,op(e1,e3)) != e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f323,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f325,definition,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f326,plain,
( sP11_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f314,f325]) ).
fof(f327,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e0,e3) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( op(e3,e0) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f330,plain,
( op(e0,op(e0,e0)) != e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f331,plain,
( op(e0,op(e0,e1)) != e1
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f332,plain,
( op(e0,op(e0,e2)) != e2
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f333,plain,
( op(e0,op(e0,e3)) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f334,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f336,definition,
( sP13_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f337,plain,
( sP12_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f325,f336]) ).
fof(f338,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e0,e2) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
( op(e2,e0) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f341,plain,
( op(e0,op(e0,e0)) != e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f342,plain,
( op(e0,op(e0,e1)) != e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f343,plain,
( op(e0,op(e0,e2)) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f344,plain,
( op(e0,op(e0,e3)) != e3
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f345,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f347,definition,
( sP14_prd
<=> ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f348,plain,
( sP13_prd
<=> ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f336,f347]) ).
fof(f349,plain,
( ( ( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( op(e0,e1) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( op(e1,e0) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f352,plain,
( op(e0,op(e0,e0)) != e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f354,plain,
( op(e0,op(e0,e2)) != e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f355,plain,
( op(e0,op(e0,e3)) != e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f356,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f358,plain,
( ( op(e0,op(e0,e3)) = e3
| op(e0,op(e0,e2)) = e2
| op(e0,op(e0,e1)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP14_prd )
& ( ( op(e0,op(e0,e3)) != e3
& op(e0,op(e0,e2)) != e2
& op(e0,op(e0,e1)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f359,plain,
( op(e0,e0) = e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f361,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f362,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f363,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f364,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f366,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f366,f369,f372,f375]) ).
fof(f379,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f418,f421,f424,f427]) ).
fof(f431,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f431,f434,f437,f440]) ).
fof(f444,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f444,f447,f450,f453]) ).
fof(f457,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f457,f460,f463,f466]) ).
fof(f470,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f470,f473,f476,f479]) ).
fof(f483,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f483,f486,f489,f492]) ).
fof(f496,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f496,f499,f502,f505]) ).
fof(f509,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f509,f512,f515,f518]) ).
fof(f522,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f522,f525,f528,f531]) ).
fof(f535,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f535,f538,f541,f544]) ).
fof(f548,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f548,f551,f554,f557]) ).
fof(f561,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f561,f564,f567,f570]) ).
fof(f574,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f366,f379,f392,f405]) ).
fof(f575,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f366,f418,f470,f522]) ).
fof(f576,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f369,f382,f395,f408]) ).
fof(f577,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f369,f421,f473,f525]) ).
fof(f578,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f372,f385,f398,f411]) ).
fof(f579,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f372,f424,f476,f528]) ).
fof(f580,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f375,f388,f401,f414]) ).
fof(f581,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f375,f427,f479,f531]) ).
fof(f582,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f418,f431,f444,f457]) ).
fof(f583,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f379,f431,f483,f535]) ).
fof(f584,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f421,f434,f447,f460]) ).
fof(f585,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f382,f434,f486,f538]) ).
fof(f586,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f424,f437,f450,f463]) ).
fof(f587,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f385,f437,f489,f541]) ).
fof(f588,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f427,f440,f453,f466]) ).
fof(f589,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f388,f440,f492,f544]) ).
fof(f590,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f470,f483,f496,f509]) ).
fof(f591,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f392,f444,f496,f548]) ).
fof(f592,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f473,f486,f499,f512]) ).
fof(f593,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f395,f447,f499,f551]) ).
fof(f594,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f476,f489,f502,f515]) ).
fof(f595,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f398,f450,f502,f554]) ).
fof(f596,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f479,f492,f505,f518]) ).
fof(f597,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f401,f453,f505,f557]) ).
fof(f598,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f522,f535,f548,f561]) ).
fof(f599,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f405,f457,f509,f561]) ).
fof(f600,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f525,f538,f551,f564]) ).
fof(f601,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f408,f460,f512,f564]) ).
fof(f602,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f528,f541,f554,f567]) ).
fof(f603,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f411,f463,f515,f567]) ).
fof(f604,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f531,f544,f557,f570]) ).
fof(f605,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f414,f466,f518,f570]) ).
fof(f607,plain,
( sQ61_spl
| sQ41_spl
| sQ21_spl
| sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f135,f379,f369,f434,f499,f564]) ).
fof(f608,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f136,f392,f372,f437,f502,f567]) ).
fof(f609,plain,
( sQ63_spl
| sQ43_spl
| sQ23_spl
| sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f137,f405,f375,f440,f505,f570]) ).
fof(f610,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f138,f421,f366,f431,f496,f561]) ).
fof(f612,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f140,f447,f372,f437,f502,f567]) ).
fof(f613,plain,
( sQ63_spl
| sQ43_spl
| sQ23_spl
| sQ3_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f141,f460,f375,f440,f505,f570]) ).
fof(f614,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f142,f476,f366,f431,f496,f561]) ).
fof(f615,plain,
( sQ61_spl
| sQ41_spl
| sQ21_spl
| sQ1_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f143,f489,f369,f434,f499,f564]) ).
fof(f617,plain,
( sQ63_spl
| sQ43_spl
| sQ23_spl
| sQ3_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f145,f515,f375,f440,f505,f570]) ).
fof(f618,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f146,f531,f366,f431,f496,f561]) ).
fof(f619,plain,
( sQ61_spl
| sQ41_spl
| sQ21_spl
| sQ1_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f147,f544,f369,f434,f499,f564]) ).
fof(f620,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f148,f557,f372,f437,f502,f567]) ).
fof(f622,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f150,f622,f570]) ).
fof(f627,definition,
( sQ65_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ65_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f631,definition,
( sQ66_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ66_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ66_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f153,f622,f631]) ).
fof(f635,definition,
( sQ67_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( sQ67_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( ~ sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f154,f622,f635]) ).
fof(f639,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ68_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f155,f622,f639]) ).
fof(f643,definition,
( sQ69_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ69_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ70_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( sQ70_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( ~ sQ43_spl
| ~ sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f157,f643,f646,f505]) ).
fof(f650,definition,
( sQ71_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ71_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ72_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( sQ72_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( ~ sQ62_spl
| ~ sQ72_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f159,f650,f653,f567]) ).
fof(f657,definition,
( sQ73_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( sQ73_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f664,definition,
( sQ75_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( sQ75_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( ~ sQ61_spl
| ~ sQ75_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f163,f650,f664,f564]) ).
fof(f668,definition,
( sQ76_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( sQ76_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( ~ sQ22_spl
| ~ sQ76_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f165,f657,f668,f437]) ).
fof(f672,definition,
( sQ77_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( sQ77_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( ~ sQ41_spl
| ~ sQ77_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f167,f643,f672,f499]) ).
fof(f676,definition,
( sQ78_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( sQ78_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ79_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( sQ79_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,plain,
( ~ sQ43_spl
| ~ sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f169,f676,f679,f505]) ).
fof(f683,definition,
( sQ80_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( sQ80_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ81_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( sQ81_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( ~ sQ62_spl
| ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f171,f683,f686,f567]) ).
fof(f690,definition,
( sQ82_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ82_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ83_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ83_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ3_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f173,f690,f693,f375]) ).
fof(f697,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f175,f683,f664,f561]) ).
fof(f698,definition,
( sQ84_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( sQ84_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f702,plain,
( ~ sQ40_spl
| ~ sQ77_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f179,f676,f672,f496]) ).
fof(f703,definition,
( sQ85_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ85_spl
| e2 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ85_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ86_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ23_spl
| ~ sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f181,f703,f706,f440]) ).
fof(f710,definition,
( sQ87_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( sQ87_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f183,f710,f686,f564]) ).
fof(f714,definition,
( sQ88_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( sQ88_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ89_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( sQ89_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f721,plain,
( ~ sQ60_spl
| ~ sQ72_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f187,f710,f653,f561]) ).
fof(f722,plain,
( ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f189,f714,f698,f369]) ).
fof(f723,plain,
( ~ sQ20_spl
| ~ sQ76_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f191,f703,f668,f431]) ).
fof(f724,definition,
( sQ90_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ90_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ22_spl
| ~ sQ86_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f193,f724,f706,f437]) ).
fof(f728,definition,
( sQ91_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ91_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f732,definition,
( sQ92_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ92_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( ~ sQ2_spl
| ~ sQ89_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f197,f732,f717,f372]) ).
fof(f736,plain,
( ~ sQ40_spl
| ~ sQ70_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f199,f728,f646,f496]) ).
fof(f739,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ59_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f622,f739,f557]) ).
fof(f743,plain,
( sQ47_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f622,f739,f518]) ).
fof(f744,plain,
( ~ sQ65_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f209,f622,f739,f627]) ).
fof(f745,plain,
( ~ sQ66_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f622,f739,f631]) ).
fof(f746,plain,
( ~ sQ67_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f211,f622,f739,f635]) ).
fof(f747,plain,
( ~ sQ68_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f212,f622,f739,f639]) ).
fof(f748,plain,
( ~ sQ93_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f213,f622,f739]) ).
fof(f750,definition,
( sQ94_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( sQ55_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f218,f739,f750,f544]) ).
fof(f754,plain,
( sQ31_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f219,f739,f750,f466]) ).
fof(f755,plain,
( ~ sQ65_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f220,f739,f750,f627]) ).
fof(f756,plain,
( ~ sQ66_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f221,f739,f750,f631]) ).
fof(f757,plain,
( ~ sQ67_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f222,f739,f750,f635]) ).
fof(f758,plain,
( ~ sQ68_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f223,f739,f750,f639]) ).
fof(f759,plain,
( ~ sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f224,f739,f750]) ).
fof(f761,definition,
( sQ95_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( sQ51_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f229,f750,f761,f531]) ).
fof(f765,plain,
( sQ15_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f230,f750,f761,f414]) ).
fof(f766,plain,
( ~ sQ65_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f231,f750,f761,f627]) ).
fof(f767,plain,
( ~ sQ66_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f232,f750,f761,f631]) ).
fof(f768,plain,
( ~ sQ67_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f233,f750,f761,f635]) ).
fof(f769,plain,
( ~ sQ68_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f234,f750,f761,f639]) ).
fof(f770,plain,
( ~ sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f235,f750,f761]) ).
fof(f772,definition,
( sQ96_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( sQ46_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f240,f761,f772,f515]) ).
fof(f776,plain,
( sQ58_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f241,f761,f772,f554]) ).
fof(f777,definition,
( sQ97_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( sQ97_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sQ97_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f242,f761,f772,f777]) ).
fof(f781,definition,
( sQ98_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( sQ98_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ98_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f243,f761,f772,f781]) ).
fof(f785,definition,
( sQ99_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ99_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ99_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ sQ99_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f244,f761,f772,f785]) ).
fof(f789,definition,
( sQ100_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ100_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( ~ sQ100_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f245,f761,f772,f789]) ).
fof(f793,plain,
( ~ sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f246,f761,f772]) ).
fof(f795,definition,
( sQ101_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ42_spl
| sQ101_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f251,f772,f795,f502]) ).
fof(f802,plain,
( ~ sQ99_spl
| sQ101_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f255,f772,f795,f785]) ).
fof(f803,plain,
( ~ sQ100_spl
| sQ101_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f256,f772,f795,f789]) ).
fof(f804,plain,
( ~ sQ101_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f257,f772,f795]) ).
fof(f806,definition,
( sQ102_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ38_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f262,f795,f806,f489]) ).
fof(f810,plain,
( sQ26_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f263,f795,f806,f450]) ).
fof(f811,plain,
( ~ sQ97_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f264,f795,f806,f777]) ).
fof(f812,plain,
( ~ sQ98_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f265,f795,f806,f781]) ).
fof(f813,plain,
( ~ sQ99_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f266,f795,f806,f785]) ).
fof(f814,plain,
( ~ sQ100_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f267,f795,f806,f789]) ).
fof(f815,plain,
( ~ sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f268,f795,f806]) ).
fof(f817,definition,
( sQ103_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( sQ34_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f273,f806,f817,f476]) ).
fof(f821,plain,
( sQ10_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f274,f806,f817,f398]) ).
fof(f822,plain,
( ~ sQ97_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f275,f806,f817,f777]) ).
fof(f823,plain,
( ~ sQ98_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f276,f806,f817,f781]) ).
fof(f824,plain,
( ~ sQ99_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f277,f806,f817,f785]) ).
fof(f825,plain,
( ~ sQ100_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f278,f806,f817,f789]) ).
fof(f826,plain,
( ~ sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f279,f806,f817]) ).
fof(f828,definition,
( sQ104_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ29_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f284,f817,f828,f460]) ).
fof(f832,plain,
( sQ53_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f285,f817,f828,f538]) ).
fof(f833,definition,
( sQ105_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( sQ105_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ105_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f286,f817,f828,f833]) ).
fof(f837,definition,
( sQ106_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ106_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( ~ sQ106_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f287,f817,f828,f837]) ).
fof(f841,definition,
( sQ107_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( sQ107_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ107_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f288,f817,f828,f841]) ).
fof(f845,definition,
( sQ108_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( sQ108_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ108_spl
| sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f289,f817,f828,f845]) ).
fof(f849,plain,
( ~ sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f290,f817,f828]) ).
fof(f851,definition,
( sQ109_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ25_spl
| sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f295,f828,f851,f447]) ).
fof(f855,plain,
( sQ37_spl
| sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f296,f828,f851,f486]) ).
fof(f856,plain,
( ~ sQ105_spl
| sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f297,f828,f851,f833]) ).
fof(f858,plain,
( ~ sQ107_spl
| sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f299,f828,f851,f841]) ).
fof(f859,plain,
( ~ sQ108_spl
| sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f300,f828,f851,f845]) ).
fof(f860,plain,
( ~ sQ109_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f301,f828,f851]) ).
fof(f862,definition,
( sQ110_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( sQ21_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f306,f851,f862,f434]) ).
fof(f868,plain,
( ~ sQ106_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f309,f851,f862,f837]) ).
fof(f871,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f312,f851,f862]) ).
fof(f873,definition,
( sQ111_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( sQ17_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f317,f862,f873,f421]) ).
fof(f877,plain,
( sQ5_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f318,f862,f873,f382]) ).
fof(f878,plain,
( ~ sQ105_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f319,f862,f873,f833]) ).
fof(f879,plain,
( ~ sQ106_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f320,f862,f873,f837]) ).
fof(f880,plain,
( ~ sQ107_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f321,f862,f873,f841]) ).
fof(f881,plain,
( ~ sQ108_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f322,f862,f873,f845]) ).
fof(f882,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f323,f862,f873]) ).
fof(f884,definition,
( sQ112_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( sQ12_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f328,f873,f884,f405]) ).
fof(f888,plain,
( sQ48_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f329,f873,f884,f522]) ).
fof(f889,definition,
( sQ113_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ113_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sQ113_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ113_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f330,f873,f884,f889]) ).
fof(f893,definition,
( sQ114_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( sQ114_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ114_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f331,f873,f884,f893]) ).
fof(f897,definition,
( sQ115_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( sQ115_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( ~ sQ115_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f332,f873,f884,f897]) ).
fof(f901,definition,
( sQ116_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( sQ116_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( ~ sQ116_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f333,f873,f884,f901]) ).
fof(f905,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f334,f873,f884]) ).
fof(f907,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( sQ8_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f339,f884,f907,f392]) ).
fof(f911,plain,
( sQ32_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f340,f884,f907,f470]) ).
fof(f912,plain,
( ~ sQ113_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f341,f884,f907,f889]) ).
fof(f913,plain,
( ~ sQ114_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f342,f884,f907,f893]) ).
fof(f914,plain,
( ~ sQ115_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f343,f884,f907,f897]) ).
fof(f915,plain,
( ~ sQ116_spl
| sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f344,f884,f907,f901]) ).
fof(f916,plain,
( ~ sQ117_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f345,f884,f907]) ).
fof(f918,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ4_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f350,f907,f918,f379]) ).
fof(f922,plain,
( sQ16_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f351,f907,f918,f418]) ).
fof(f923,plain,
( ~ sQ113_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f352,f907,f918,f889]) ).
fof(f925,plain,
( ~ sQ115_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f354,f907,f918,f897]) ).
fof(f926,plain,
( ~ sQ116_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f355,f907,f918,f901]) ).
fof(f927,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f356,f907,f918]) ).
fof(f929,plain,
( sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f359,f918,f366]) ).
fof(f931,plain,
( ~ sQ113_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f361,f918,f889]) ).
fof(f932,plain,
( ~ sQ114_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f362,f918,f893]) ).
fof(f933,plain,
( ~ sQ115_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f363,f918,f897]) ).
fof(f934,plain,
( ~ sQ116_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f364,f918,f901]) ).
fof(f936,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f571,f101]) ).
fof(f937,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f571,f100]) ).
fof(f938,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f571,f98]) ).
fof(f939,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f464,f113]) ).
fof(f940,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f464,f112]) ).
fof(f941,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f464,f110]) ).
fof(f942,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f464,f99]) ).
fof(f943,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f464,f96]) ).
fof(f944,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f571,f122]) ).
fof(f945,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f107]) ).
fof(f946,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f106]) ).
fof(f947,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f104]) ).
fof(f948,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f412,f97]) ).
fof(f950,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f571,f125]) ).
fof(f952,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f542,f123]) ).
fof(f954,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f542,f89]) ).
fof(f956,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f542,f86]) ).
fof(f958,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f529,f121]) ).
fof(f959,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f529,f83]) ).
fof(f960,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f529,f82]) ).
fof(f961,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f529,f80]) ).
fof(f962,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f513,f119]) ).
fof(f963,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f513,f118]) ).
fof(f964,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f513,f116]) ).
fof(f965,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f409,f412]) ).
fof(f966,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f129]) ).
fof(f967,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f970,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f552,f95]) ).
fof(f973,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f526,f529]) ).
fof(f974,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f129]) ).
fof(f975,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f976,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f552,f121]) ).
fof(f977,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f510,f513]) ).
fof(f978,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f126]) ).
fof(f979,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f458,f464]) ).
fof(f981,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f127]) ).
fof(f982,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f981]) ).
fof(f983,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f542,f545]) ).
fof(f984,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f131]) ).
fof(f985,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f552,f558]) ).
fof(f987,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f986,f130]) ).
fof(f988,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f987]) ).
fof(f989,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f571,f641]) ).
fof(f990,plain,
( sQ68_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f571,f989]) ).
fof(f991,plain,
( sQ68_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f990]) ).
fof(f992,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f454,f111]) ).
fof(f994,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f454,f109]) ).
fof(f995,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f454,f93]) ).
fof(f996,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f454,f90]) ).
fof(f997,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f105]) ).
fof(f998,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f103]) ).
fof(f999,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f402,f91]) ).
fof(f1000,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f493,f117]) ).
fof(f1002,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f493,f87]) ).
fof(f1003,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f493,f85]) ).
fof(f1004,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f480,f115]) ).
fof(f1006,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f480,f79]) ).
fof(f1007,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f396,f402]) ).
fof(f1008,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f130]) ).
fof(f1009,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1012,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f474,f480]) ).
fof(f1013,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f130]) ).
fof(f1014,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1015,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f445,f454]) ).
fof(f1016,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f128]) ).
fof(f1017,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f484,f493]) ).
fof(f1019,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1018,f128]) ).
fof(f1020,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1021,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f389,f102]) ).
fof(f1022,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f389,f84]) ).
fof(f1023,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f428,f108]) ).
fof(f1024,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f428,f78]) ).
fof(f1025,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f386,f389]) ).
fof(f1026,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f131]) ).
fof(f1027,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1028,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f425,f428]) ).
fof(f1029,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1028,f131]) ).
fof(f1030,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1029]) ).
fof(f1065,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f432,f435]) ).
fof(f1066,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f126]) ).
fof(f1067,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ85_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f432,f705]) ).
fof(f1069,plain,
( sQ76_spl
| ~ sQ20_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f432,f670]) ).
fof(f1070,plain,
( sQ76_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f432,f1069]) ).
fof(f1089,plain,
( sQ66_spl
| ~ sQ52_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f536,f633]) ).
fof(f1090,plain,
( sQ67_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f549,f637]) ).
fof(f1091,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f536,f545]) ).
fof(f1092,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f128]) ).
fof(f1093,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f549,f558]) ).
fof(f1095,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f128]) ).
fof(f1096,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1107,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f367,f370]) ).
fof(f1108,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1107,f126]) ).
fof(f1109,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1110,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f497,f503]) ).
fof(f1111,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1110,f127]) ).
fof(f1112,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f497,f678]) ).
fof(f1115,plain,
( sQ77_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f497,f674]) ).
fof(f1116,plain,
( sQ77_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f497,f1115]) ).
fof(f1124,plain,
( sQ91_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f497,f730]) ).
fof(f1125,plain,
( sQ70_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f497,f648]) ).
fof(f1126,plain,
( sQ70_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f497,f1125]) ).
fof(f1128,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f497,f500]) ).
fof(f1129,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f126]) ).
fof(f1130,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( sQ73_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f438,f659]) ).
fof(f1134,plain,
( sQ80_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f562,f685]) ).
fof(f1135,plain,
( sQ75_spl
| ~ sQ60_spl
| e2 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f562,f666]) ).
fof(f1137,plain,
( sQ87_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f562,f712]) ).
fof(f1138,plain,
( sQ72_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f562,f655]) ).
fof(f1139,plain,
( sQ75_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f562,f1135]) ).
fof(f1140,plain,
( sQ75_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f373,f1139]) ).
fof(f1141,plain,
( sQ75_spl
| ~ sQ60_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1140]) ).
fof(f1142,plain,
( sQ75_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( sQ72_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f562,f1138]) ).
fof(f1145,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f562,f565]) ).
fof(f1146,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f126]) ).
fof(f1147,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f438,f441]) ).
fof(f1149,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f131]) ).
fof(f1150,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f497,f506]) ).
fof(f1152,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1151,f128]) ).
fof(f1153,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f380,f383]) ).
fof(f1155,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f126]) ).
fof(f1156,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1159,plain,
( sQ113_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f376,f891]) ).
fof(f1161,plain,
( sQ115_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f399,f899]) ).
fof(f1162,plain,
( sQ115_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f399,f1161]) ).
fof(f1163,plain,
( sQ115_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1162]) ).
fof(f1164,plain,
( sQ115_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f490]) ).
fof(f1167,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f129]) ).
fof(f1168,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f471,f477]) ).
fof(f1170,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f127]) ).
fof(f1171,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1170]) ).
fof(f1172,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f419,f428]) ).
fof(f1173,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f128]) ).
fof(f1174,plain,
( ~ sQ19_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f376,f1024]) ).
fof(f1176,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1175]) ).
fof(f1177,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1176]) ).
fof(f1178,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f939]) ).
fof(f1179,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1178]) ).
fof(f1180,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f941,f424,f463]) ).
fof(f1183,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f964,f473,f512]) ).
fof(f1185,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f960,f424,f528]) ).
fof(f1186,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f523,f529]) ).
fof(f1187,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f127]) ).
fof(f1188,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1187]) ).
fof(f1189,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f945,f398,f411]) ).
fof(f1190,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f947,f372,f411]) ).
fof(f1191,plain,
( sQ66_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f539,f633]) ).
fof(f1192,plain,
( sQ66_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f539,f1191]) ).
fof(f1193,plain,
( sQ66_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1192]) ).
fof(f1194,plain,
( sQ66_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sQ67_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f555,f637]) ).
fof(f1196,plain,
( sQ67_spl
| ~ sQ58_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f555,f1195]) ).
fof(f1197,plain,
( sQ67_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1196]) ).
fof(f1198,plain,
( sQ67_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f996,f401,f453]) ).
fof(f1200,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f995,f505,f453]) ).
fof(f1201,plain,
( sQ73_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1132,f483,f437,f657]) ).
fof(f1202,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1021,f375,f388]) ).
fof(f1203,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f997,f388,f401]) ).
fof(f1204,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f998,f375,f401]) ).
fof(f1205,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f999,f505,f401]) ).
fof(f1207,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f568,f571]) ).
fof(f1208,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f131]) ).
fof(f1209,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f954,f489,f541]) ).
fof(f1212,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f938]) ).
fof(f1213,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f107]) ).
fof(f1216,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f106]) ).
fof(f1220,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f406,f415]) ).
fof(f1221,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f128]) ).
fof(f1222,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1221]) ).
fof(f1223,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f393,f396]) ).
fof(f1224,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1223,f126]) ).
fof(f1225,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1226,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1114,f395,f496,f676]) ).
fof(f1228,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f963,f486,f512]) ).
fof(f1229,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1089,f525,f535,f631]) ).
fof(f1230,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f946,f385,f411]) ).
fof(f1232,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f952,f554,f541]) ).
fof(f1234,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f519,f97]) ).
fof(f1235,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f519,f119]) ).
fof(f1236,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f519,f118]) ).
fof(f1237,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f519,f116]) ).
fof(f1238,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f422,f82]) ).
fof(f1239,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f461,f467]) ).
fof(f1240,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f130]) ).
fof(f1241,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1244,plain,
( sQ70_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1126,f369,f496,f646]) ).
fof(f1245,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1216,f388,f414]) ).
fof(f1246,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f1234]) ).
fof(f1247,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1004,f505,f479]) ).
fof(f1250,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1006,f375,f479]) ).
fof(f1251,plain,
( sQ105_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f422,f835]) ).
fof(f1253,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1002,f440,f492]) ).
fof(f1254,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1003,f388,f492]) ).
fof(f1255,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f970,f499,f551]) ).
fof(f1256,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f976,f525,f551]) ).
fof(f1257,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1022,f440,f388]) ).
fof(f1258,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f422,f425]) ).
fof(f1259,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f129]) ).
fof(f1260,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f944,f531,f570]) ).
fof(f1262,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f937,f466,f570]) ).
fof(f1263,plain,
( ~ sQ25_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f448,f90]) ).
fof(f1265,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f448,f109]) ).
fof(f1266,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f448,f111]) ).
fof(f1267,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f448,f113]) ).
fof(f1268,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f448,f94]) ).
fof(f1269,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1266,f434,f447]) ).
fof(f1270,plain,
( sQ85_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1068,f385,f431,f703]) ).
fof(f1271,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1237,f479,f518]) ).
fof(f1272,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f448,f451]) ).
fof(f1273,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1272,f129]) ).
fof(f1274,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1000,f505,f492]) ).
fof(f1279,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f503,f95]) ).
fof(f1280,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1279,f554,f502]) ).
fof(f1281,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f956,f385,f541]) ).
fof(f1283,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f532,f121]) ).
fof(f1284,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f532,f120]) ).
fof(f1286,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f532,f83]) ).
fof(f1287,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1283,f557,f531]) ).
fof(f1290,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f993,f440,f453]) ).
fof(f1292,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f532,f82]) ).
fof(f1295,plain,
( sQ71_spl
| ~ sQ62_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f568,f652]) ).
fof(f1297,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f98]) ).
fof(f1298,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f100]) ).
fof(f1299,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f101]) ).
fof(f1300,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f124]) ).
fof(f1301,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f125]) ).
fof(f1303,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1299,f515,f567]) ).
fof(f1304,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1300,f541,f567]) ).
fof(f1305,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1235,f505,f518]) ).
fof(f1306,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f961,f372,f528]) ).
fof(f1307,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f940,f437,f463]) ).
fof(f1312,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f503,f93]) ).
fof(f1313,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f503,f119]) ).
fof(f1315,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1312,f450,f502]) ).
fof(f1316,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1313,f515,f502]) ).
fof(f1318,plain,
( sQ72_spl
| ~ sQ61_spl
| e1 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f565,f655]) ).
fof(f1319,plain,
( sQ72_spl
| ~ sQ61_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f565,f1318]) ).
fof(f1321,plain,
( sQ87_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f565,f712]) ).
fof(f1322,plain,
( sQ75_spl
| ~ sQ61_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f565,f666]) ).
fof(f1323,plain,
( sQ75_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f565,f1322]) ).
fof(f1324,plain,
( sQ68_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f565,f641]) ).
fof(f1328,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f435,f108]) ).
fof(f1329,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f435,f84]) ).
fof(f1330,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f435,f87]) ).
fof(f1331,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f435,f112]) ).
fof(f1332,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f435,f88]) ).
fof(f1336,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1328,f421,f434]) ).
fof(f1337,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1330,f486,f434]) ).
fof(f1338,plain,
( sQ76_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1070,f375,f431,f668]) ).
fof(f1339,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1236,f492,f518]) ).
fof(f1340,plain,
( sQ77_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1116,f375,f496,f672]) ).
fof(f1341,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1263,f395,f447]) ).
fof(f1342,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1265,f421,f447]) ).
fof(f1343,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1267,f460,f447]) ).
fof(f1344,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1329,f382,f434]) ).
fof(f1346,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f565,f688]) ).
fof(f1347,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f565,f1346]) ).
fof(f1348,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f122]) ).
fof(f1349,plain,
( sQ71_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f565,f652]) ).
fof(f1351,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f98]) ).
fof(f1352,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f100]) ).
fof(f1353,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f101]) ).
fof(f1354,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f124]) ).
fof(f1355,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f565,f125]) ).
fof(f1364,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f396,f91]) ).
fof(f1366,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f396,f107]) ).
fof(f1367,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f103]) ).
fof(f1368,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f105]) ).
fof(f1369,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f396,f92]) ).
fof(f1370,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1364,f499,f395]) ).
fof(f1371,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1366,f408,f395]) ).
fof(f1372,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1134,f408,f561,f683]) ).
fof(f1373,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1144,f369,f561,f653]) ).
fof(f1374,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f959,f476,f528]) ).
fof(f1375,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f942,f515,f463]) ).
fof(f1376,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1347,f431,f564,f686]) ).
fof(f1382,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f383,f85]) ).
fof(f1388,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f448,f93]) ).
fof(f1392,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1388,f499,f447]) ).
fof(f1393,plain,
( sQ113_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1159,f405,f375,f889]) ).
fof(f1394,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1332,f538,f434]) ).
fof(f1396,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1319,f434,f564,f653]) ).
fof(f1398,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f962,f499,f512]) ).
fof(f1401,plain,
( sQ82_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f376,f692]) ).
fof(f1402,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f376,f80]) ).
fof(f1403,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f376,f104]) ).
fof(f1406,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1401,f525,f375,f690]) ).
fof(f1407,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1351,f408,f564]) ).
fof(f1408,plain,
( sQ87_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1321,f463,f564,f710]) ).
fof(f1416,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f373,f102]) ).
fof(f1427,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f373,f103]) ).
fof(f1430,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f373,f78]) ).
fof(f1431,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f373,f79]) ).
fof(f1435,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f503,f91]) ).
fof(f1437,plain,
( ~ sQ42_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f503,f117]) ).
fof(f1440,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1435,f398,f502]) ).
fof(f1441,plain,
( sQ89_spl
| ~ sQ2_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f373,f719]) ).
fof(f1442,plain,
( sQ89_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f373,f1441]) ).
fof(f1443,plain,
( sQ71_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1349,f457,f564,f650]) ).
fof(f1446,plain,
( sQ66_spl
| ~ sQ54_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f542,f633]) ).
fof(f1448,plain,
( ~ sQ113_spl
| ~ sQ2_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f373,f890]) ).
fof(f1449,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f1430]) ).
fof(f1450,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1455,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1382,f486,f382]) ).
fof(f1457,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f510,f101]) ).
fof(f1458,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f510,f97]) ).
fof(f1459,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f510,f118]) ).
fof(f1460,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f510,f116]) ).
fof(f1461,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f510,f99]) ).
fof(f1462,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1459,f483,f509]) ).
fof(f1463,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f936,f518,f570]) ).
fof(f1464,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f994,f427,f453]) ).
fof(f1465,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1268,f551,f447]) ).
fof(f1466,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1355,f551,f564]) ).
fof(f1467,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1460,f470,f509]) ).
fof(f1468,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1461,f457,f509]) ).
fof(f1469,plain,
( sQ75_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1323,f437,f564,f664]) ).
fof(f1470,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1292,f427,f531]) ).
fof(f1471,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1297,f411,f567]) ).
fof(f1473,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1402,f531,f375]) ).
fof(f1474,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1369,f551,f395]) ).
fof(f1475,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1367,f369,f395]) ).
fof(f1476,plain,
( sQ89_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1442,f499,f372,f717]) ).
fof(f1477,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1023,f440,f427]) ).
fof(f1478,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1137,f411,f561,f710]) ).
fof(f1480,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f471,f79]) ).
fof(f1481,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f471,f115]) ).
fof(f1483,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f471,f83]) ).
fof(f1484,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f471,f114]) ).
fof(f1485,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f471,f81]) ).
fof(f1486,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1480,f366,f470]) ).
fof(f1487,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1485,f418,f470]) ).
fof(f1488,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1124,f401,f496,f728]) ).
fof(f1489,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1427,f398,f372]) ).
fof(f1490,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1431,f476,f372]) ).
fof(f1491,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1416,f385,f372]) ).
fof(f1492,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1298,f463,f567]) ).
fof(f1493,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1352,f460,f564]) ).
fof(f1494,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1403,f414,f375]) ).
fof(f1496,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1238,f525,f421]) ).
fof(f1497,plain,
( sQ105_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1251,f431,f421,f833]) ).
fof(f1498,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1348,f525,f564]) ).
fof(f1500,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f445,f90]) ).
fof(f1501,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f445,f111]) ).
fof(f1502,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f445,f93]) ).
fof(f1503,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f445,f94]) ).
fof(f1504,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f445,f113]) ).
fof(f1505,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f445,f109]) ).
fof(f1506,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1503,f548,f444]) ).
fof(f1507,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1457,f561,f509]) ).
fof(f1508,plain,
( sQ71_spl
| ~ sQ62_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1295,f509,f567,f650]) ).
fof(f1509,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f526,f83]) ).
fof(f1511,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f526,f80]) ).
fof(f1512,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f526,f120]) ).
fof(f1516,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1509,f473,f525]) ).
fof(f1517,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1331,f460,f434]) ).
fof(f1518,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1502,f496,f444]) ).
fof(f1519,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f948,f515,f411]) ).
fof(f1520,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1483,f522,f470]) ).
fof(f1521,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f943,f411,f463]) ).
fof(f1522,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1215,f401,f414]) ).
fof(f1523,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1437,f489,f502]) ).
fof(f1526,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1301,f554,f567]) ).
fof(f1527,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1512,f538,f525]) ).
fof(f1528,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f536,f120]) ).
fof(f1530,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f536,f88]) ).
fof(f1531,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f536,f124]) ).
fof(f1532,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f536,f89]) ).
fof(f1534,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f536,f86]) ).
fof(f1535,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1528,f522,f535]) ).
fof(f1536,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1534,f379,f535]) ).
fof(f1540,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f367,f80]) ).
fof(f1544,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f367,f103]) ).
fof(f1545,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f367,f104]) ).
fof(f1546,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f367,f78]) ).
fof(f1551,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1546,f418,f366]) ).
fof(f1553,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1531,f561,f535]) ).
fof(f1554,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1484,f483,f470]) ).
fof(f1555,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1532,f483,f535]) ).
fof(f1564,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f484,f87]) ).
fof(f1565,plain,
( sQ107_spl
| ~ sQ26_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f843]) ).
fof(f1571,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f111]) ).
fof(f1572,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f90]) ).
fof(f1573,plain,
( sQ107_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1565,f450,f841]) ).
fof(f1578,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f562,f122]) ).
fof(f1580,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f562,f98]) ).
fof(f1581,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f562,f100]) ).
fof(f1586,plain,
( sQ69_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f506,f645]) ).
fof(f1592,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f516,f116]) ).
fof(f1595,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1592,f476,f515]) ).
fof(f1597,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1572,f398,f450]) ).
fof(f1598,plain,
( sQ99_spl
| ~ sQ43_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f506,f787]) ).
fof(f1599,plain,
( sQ68_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1324,f544,f564,f639]) ).
fof(f1600,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1368,f382,f395]) ).
fof(f1602,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1090,f528,f548,f635]) ).
fof(f1608,plain,
( sQ70_spl
| ~ sQ43_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f506,f648]) ).
fof(f1609,plain,
( sQ70_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f506,f1608]) ).
fof(f1610,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1284,f544,f531]) ).
fof(f1612,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1580,f405,f561]) ).
fof(f1613,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1571,f437,f450]) ).
fof(f1614,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1458,f405,f509]) ).
fof(f1615,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1545,f405,f366]) ).
fof(f1618,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f383,f102]) ).
fof(f1619,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f383,f86]) ).
fof(f1620,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f383,f106]) ).
fof(f1623,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1618,f369,f382]) ).
fof(f1624,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1620,f408,f382]) ).
fof(f1625,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1564,f431,f483]) ).
fof(f1627,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1500,f392,f444]) ).
fof(f1628,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1511,f369,f525]) ).
fof(f1629,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1581,f457,f561]) ).
fof(f1630,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1504,f457,f444]) ).
fof(f1635,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f467,f113]) ).
fof(f1636,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f467,f112]) ).
fof(f1647,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f503,f115]) ).
fof(f1653,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1647,f476,f502]) ).
fof(f1655,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1635,f453,f466]) ).
fof(f1658,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1636,f440,f466]) ).
fof(f1659,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1540,f522,f366]) ).
fof(f1660,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1544,f392,f366]) ).
fof(f1661,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1586,f548,f505,f643]) ).
fof(f1664,plain,
( sQ65_spl
| ~ sQ49_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f526,f629]) ).
fof(f1678,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f568,f101]) ).
fof(f1687,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f109]) ).
fof(f1694,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f545,f88]) ).
fof(f1699,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f386,f105]) ).
fof(f1703,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f386,f85]) ).
fof(f1724,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f467,f110]) ).
fof(f1726,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f467,f99]) ).
fof(f1729,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1724,f427,f466]) ).
fof(f1730,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1726,f518,f466]) ).
fof(f1734,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f545,f124]) ).
fof(f1739,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1505,f418,f444]) ).
fof(f1742,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f435,f438]) ).
fof(f1743,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1742,f129]) ).
fof(f1744,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1743]) ).
fof(f1745,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1664,f535,f525,f627]) ).
fof(f1746,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1699,f398,f385]) ).
fof(f1747,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1687,f424,f450]) ).
fof(f1749,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1501,f431,f444]) ).
fof(f1771,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f409,f97]) ).
fof(f1772,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f409,f104]) ).
fof(f1785,plain,
( sQ92_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f373,f734]) ).
fof(f1807,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f536,f632]) ).
fof(f1842,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f558,f92]) ).
fof(f1846,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f393,f91]) ).
fof(f1850,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f500,f117]) ).
fof(f1860,plain,
( sQ113_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f373,f891]) ).
fof(f1861,plain,
( sQ113_spl
| ~ sQ2_spl
| ~ sQ8_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f1860]) ).
fof(f1862,plain,
( sQ113_spl
| ~ sQ2_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1861]) ).
fof(f1863,plain,
( sQ113_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1870,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f500,f115]) ).
fof(f1876,plain,
( sQ77_spl
| ~ sQ41_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f500,f674]) ).
fof(f1877,plain,
( sQ77_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f500,f1876]) ).
fof(f1887,plain,
( sQ80_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f568,f685]) ).
fof(f1894,plain,
( sQ115_spl
| ~ sQ11_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f402,f899]) ).
fof(f1917,plain,
( sQ113_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f367,f891]) ).
fof(f1919,plain,
( sQ113_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1917,f366,f889]) ).
fof(f1925,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1578,f522,f561]) ).
fof(f1929,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1772,f369,f408]) ).
fof(f1937,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1771,f512,f408]) ).
fof(f1939,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f484,f117]) ).
fof(f1946,plain,
( sQ81_spl
| ~ sQ62_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f568,f688]) ).
fof(f1947,plain,
( sQ81_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f568,f1946]) ).
fof(f1952,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1354,f538,f564]) ).
fof(f1953,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1353,f512,f564]) ).
fof(f1959,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1703,f489,f385]) ).
fof(f1960,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f451,f454]) ).
fof(f1961,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1960,f131]) ).
fof(f1962,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1961]) ).
fof(f1975,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f490,f114]) ).
fof(f1976,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f490,f118]) ).
fof(f1978,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f490,f87]) ).
fof(f1980,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1975,f476,f489]) ).
fof(f1981,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1976,f515,f489]) ).
fof(f1983,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1846,f496,f392]) ).
fof(f1984,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1978,f437,f489]) ).
fof(f1985,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f493]) ).
fof(f1986,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f131]) ).
fof(f1987,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1988,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1887,f512,f567,f683]) ).
fof(f1990,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1947,f496,f567,f686]) ).
fof(f1992,plain,
( sQ83_spl
| ~ sQ3_spl
| e2 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f376,f695]) ).
fof(f1993,plain,
( sQ83_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f376,f1992]) ).
fof(f1997,plain,
( sQ99_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f497,f787]) ).
fof(f2004,plain,
( sQ99_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1997,f476,f496,f785]) ).
fof(f2014,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f106]) ).
fof(f2015,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f107]) ).
fof(f2018,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f406,f96]) ).
fof(f2019,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2014,f379,f405]) ).
fof(f2033,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f399,f92]) ).
fof(f2039,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f513,f99]) ).
fof(f2050,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f552,f123]) ).
fof(f2065,plain,
( sQ108_spl
| ~ sQ30_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f464,f847]) ).
fof(f2080,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f506,f678]) ).
fof(f2082,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2080,f551,f505,f676]) ).
fof(f2083,plain,
( sQ79_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f506,f681]) ).
fof(f2084,plain,
( sQ79_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f506,f2083]) ).
fof(f2085,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f562,f2084]) ).
fof(f2086,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2085]) ).
fof(f2087,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2090,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f958,f554,f528]) ).
fof(f2096,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1870,f473,f499]) ).
fof(f2099,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1619,f538,f382]) ).
fof(f2105,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2015,f392,f405]) ).
fof(f2106,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1842,f401,f557]) ).
fof(f2107,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1530,f431,f535]) ).
fof(f2109,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1807,f525,f535,f631]) ).
fof(f2110,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f950,f557,f570]) ).
fof(f2111,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1993,f567,f375,f693]) ).
fof(f2112,plain,
( sQ99_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1598,f515,f505,f785]) ).
fof(f2113,plain,
( ~ sQ113_spl
| ~ sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1448,f392,f372,f889]) ).
fof(f2114,plain,
( sQ92_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1785,f479,f372,f732]) ).
fof(f2116,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2033,f554,f398]) ).
fof(f2117,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1481,f496,f470]) ).
fof(f2119,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2050,f538,f551]) ).
fof(f2124,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f458,f110]) ).
fof(f2125,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f458,f112]) ).
fof(f2129,plain,
( sQ97_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f471,f779]) ).
fof(f2137,plain,
( sQ97_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2129,f470,f777]) ).
fof(f2187,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f529,f122]) ).
fof(f2215,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f493,f114]) ).
fof(f2220,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f422,f81]) ).
fof(f2224,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2220,f473,f421]) ).
fof(f2228,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1609,f564,f505,f646]) ).
fof(f2231,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2018,f457,f405]) ).
fof(f2248,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f389,f86]) ).
fof(f2252,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f542,f88]) ).
fof(f2253,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f542,f120]) ).
fof(f2257,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2252,f437,f541]) ).
fof(f2258,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2253,f528,f541]) ).
fof(f2259,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2039,f460,f512]) ).
fof(f2263,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f461,f110]) ).
fof(f2344,plain,
( sQ85_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f441,f705]) ).
fof(f2381,plain,
( sQ106_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f441,f839]) ).
fof(f2382,plain,
( sQ106_spl
| ~ sQ23_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f461,f2381]) ).
fof(f2383,plain,
( sQ106_spl
| ~ sQ23_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2382]) ).
fof(f2384,plain,
( sQ106_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2412,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1850,f486,f499]) ).
fof(f2413,plain,
( sQ77_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1877,f440,f499,f672]) ).
fof(f2414,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f441,f704]) ).
fof(f2415,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| ~ sQ53_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f539,f2414]) ).
fof(f2416,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2415,f129]) ).
fof(f2417,plain,
( ~ sQ85_spl
| ~ sQ23_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2416]) ).
fof(f2421,plain,
( ~ sQ99_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f506,f786]) ).
fof(f2465,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f438,f84]) ).
fof(f2471,plain,
( sQ90_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f438,f726]) ).
fof(f2472,plain,
( sQ76_spl
| ~ sQ22_spl
| e3 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f438,f670]) ).
fof(f2473,plain,
( sQ76_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f438,f2472]) ).
fof(f2474,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f506,f2473]) ).
fof(f2475,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2474]) ).
fof(f2476,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2493,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f523,f82]) ).
fof(f2514,plain,
( ~ sQ62_spl
| ~ sQ99_spl
| ~ sQ43_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f2421,f1678]) ).
fof(f2515,plain,
( ~ sQ62_spl
| ~ sQ99_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2514]) ).
fof(f2516,plain,
( ~ sQ62_spl
| ~ sQ99_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2515]) ).
fof(f2600,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ3_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f2601,f409]) ).
fof(f2601,plain,
( ~ sQ113_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f376,f890]) ).
fof(f2602,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f126]) ).
fof(f2603,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2602]) ).
fof(f2613,plain,
( sQ67_spl
| ~ sQ57_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f552,f637]) ).
fof(f2628,plain,
( sQ65_spl
| ~ sQ48_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f523,f629]) ).
fof(f2629,plain,
( sQ65_spl
| ~ sQ48_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f523,f2628]) ).
fof(f2630,plain,
( sQ65_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2629]) ).
fof(f2631,plain,
( sQ65_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f2633,plain,
( sQ90_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2471,f492,f437,f724]) ).
fof(f2634,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1286,f479,f531]) ).
fof(f2640,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2187,f567,f528]) ).
fof(f2645,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2465,f385,f437]) ).
fof(f2652,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2215,f479,f492]) ).
fof(f2664,plain,
( sQ100_spl
| ~ sQ44_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f510,f791]) ).
fof(f2671,plain,
( sQ108_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f467,f847]) ).
fof(f2672,plain,
( sQ108_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f467,f2671]) ).
fof(f2673,plain,
( sQ108_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2672]) ).
fof(f2674,plain,
( sQ108_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2673]) ).
fof(f2675,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2344,f541,f440,f703]) ).
fof(f2676,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2125,f431,f457]) ).
fof(f2693,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f487,f89]) ).
fof(f2860,plain,
( sQ98_spl
| ~ sQ37_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f487,f783]) ).
fof(f2861,plain,
( sQ98_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f487,f2860]) ).
fof(f2862,plain,
( sQ98_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2861]) ).
fof(f2863,plain,
( sQ98_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2862]) ).
fof(f2864,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1939,f496,f483]) ).
fof(f2870,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2248,f544,f388]) ).
fof(f2880,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2493,f418,f522]) ).
fof(f2882,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1734,f570,f544]) ).
fof(f2888,plain,
( sQ108_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2065,f453,f463,f845]) ).
fof(f2889,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2263,f421,f460]) ).
fof(f2890,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2693,f538,f486]) ).
fof(f2892,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2613,f541,f551,f635]) ).
fof(f2893,plain,
( sQ66_spl
| ~ sQ54_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1446,f551,f541,f631]) ).
fof(f2894,plain,
( sQ100_spl
| ~ sQ44_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2664,f479,f509,f789]) ).
fof(f2929,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f545,f123]) ).
fof(f3025,plain,
( sQ100_spl
| ~ sQ47_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f519,f791]) ).
fof(f3029,plain,
( sQ100_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3025,f518,f789]) ).
fof(f3036,plain,
( sQ115_spl
| ~ sQ11_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1894,f411,f401,f897]) ).
fof(f3041,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1694,f440,f544]) ).
fof(f3047,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2929,f557,f544]) ).
fof(f3063,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f484,f85]) ).
fof(f3217,plain,
( sQ108_spl
| ~ sQ28_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f458,f847]) ).
fof(f3222,plain,
( sQ106_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f435,f839]) ).
fof(f3223,plain,
( sQ106_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f435,f3222]) ).
fof(f3224,plain,
( sQ106_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3223]) ).
fof(f3225,plain,
( sQ106_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3224]) ).
fof(f3245,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f549,f121]) ).
fof(f3255,plain,
( sQ99_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f503,f787]) ).
fof(f3256,plain,
( sQ99_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f503,f3255]) ).
fof(f3257,plain,
( sQ99_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3256]) ).
fof(f3258,plain,
( sQ99_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3448,plain,
( sQ88_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f370,f716]) ).
fof(f3449,plain,
( sQ92_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f370,f734]) ).
fof(f3552,plain,
( sQ107_spl
| ~ sQ25_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f448,f843]) ).
fof(f3560,plain,
( sQ105_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f419,f835]) ).
fof(f3561,plain,
( sQ105_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f419,f3560]) ).
fof(f3562,plain,
( sQ105_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3561]) ).
fof(f3563,plain,
( sQ105_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3562]) ).
fof(f3577,plain,
( sQ107_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3552,f437,f447,f841]) ).
fof(f3589,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f105]) ).
fof(f3598,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f393,f92]) ).
fof(f3601,plain,
( sQ108_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3217,f427,f457,f845]) ).
fof(f3618,plain,
( sQ88_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3448,f424,f369,f714]) ).
fof(f3619,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3245,f522,f548]) ).
fof(f3796,plain,
( sQ114_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f383,f895]) ).
fof(f3797,plain,
( sQ114_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f383,f3796]) ).
fof(f3798,plain,
( sQ114_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3797]) ).
fof(f3799,plain,
( sQ114_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3798]) ).
fof(f3965,plain,
( sQ113_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f370,f891]) ).
fof(f3993,plain,
( sQ84_spl
| ~ sQ1_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f370,f700]) ).
fof(f3994,plain,
( sQ84_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f370,f3993]) ).
fof(f3995,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f441,f3994]) ).
fof(f3996,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3995]) ).
fof(f3997,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3996]) ).
fof(f4014,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3449,f427,f369,f732]) ).
fof(f4141,plain,
( sQ116_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f903]) ).
fof(f4145,plain,
( sQ116_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4141,f414,f901]) ).
fof(f4160,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3598,f548,f392]) ).
fof(f4163,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3589,f379,f392]) ).
fof(f4165,plain,
( sQ113_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3965,f379,f369,f889]) ).
fof(f4166,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3063,f379,f483]) ).
fof(f4172,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2124,f418,f457]) ).
fof(f4175,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f448,f454]) ).
fof(f4176,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4175,f130]) ).
fof(f4177,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f4176]) ).
fof(f4178,plain,
$false,
inference(sat_refutation,[status(thm)],[f378,f391,f404,f417,f430,f443,f456,f469,f482,f495,f508,f521,f534,f547,f560,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f607,f608,f609,f610,f612,f613,f614,f615,f617,f618,f619,f620,f625,f634,f638,f642,f649,f656,f667,f671,f675,f682,f689,f696,f697,f702,f709,f713,f721,f722,f723,f727,f735,f736,f742,f743,f744,f745,f746,f747,f748,f753,f754,f755,f756,f757,f758,f759,f764,f765,f766,f767,f768,f769,f770,f775,f776,f780,f784,f788,f792,f793,f798,f802,f803,f804,f809,f810,f811,f812,f813,f814,f815,f820,f821,f822,f823,f824,f825,f826,f831,f832,f836,f840,f844,f848,f849,f854,f855,f856,f858,f859,f860,f865,f868,f871,f876,f877,f878,f879,f880,f881,f882,f887,f888,f892,f896,f900,f904,f905,f910,f911,f912,f913,f914,f915,f916,f921,f922,f923,f925,f926,f927,f929,f931,f932,f933,f934,f967,f975,f979,f982,f985,f988,f992,f1009,f1014,f1017,f1020,f1027,f1030,f1067,f1093,f1096,f1109,f1112,f1130,f1142,f1147,f1150,f1153,f1156,f1164,f1168,f1171,f1174,f1177,f1180,f1181,f1183,f1185,f1188,f1189,f1190,f1194,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1209,f1210,f1214,f1222,f1225,f1226,f1228,f1229,f1230,f1232,f1241,f1244,f1245,f1247,f1249,f1250,f1253,f1254,f1255,f1256,f1257,f1260,f1261,f1262,f1269,f1270,f1271,f1274,f1275,f1280,f1281,f1287,f1290,f1303,f1304,f1305,f1306,f1307,f1315,f1316,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1392,f1393,f1394,f1396,f1398,f1406,f1407,f1408,f1440,f1443,f1450,f1455,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1473,f1474,f1475,f1476,f1477,f1478,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1496,f1497,f1498,f1506,f1507,f1508,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1526,f1527,f1535,f1536,f1551,f1553,f1554,f1555,f1573,f1595,f1597,f1599,f1600,f1602,f1610,f1612,f1613,f1614,f1615,f1623,f1624,f1625,f1627,f1628,f1629,f1630,f1653,f1655,f1658,f1659,f1660,f1661,f1729,f1730,f1739,f1744,f1745,f1746,f1747,f1749,f1863,f1919,f1925,f1929,f1937,f1952,f1953,f1959,f1962,f1980,f1981,f1983,f1984,f1987,f1988,f1990,f2004,f2019,f2082,f2087,f2090,f2096,f2099,f2105,f2106,f2107,f2109,f2110,f2111,f2112,f2113,f2114,f2116,f2117,f2119,f2137,f2224,f2228,f2231,f2257,f2258,f2259,f2384,f2412,f2413,f2417,f2476,f2516,f2603,f2631,f2633,f2634,f2640,f2645,f2652,f2674,f2675,f2676,f2863,f2864,f2870,f2880,f2882,f2888,f2889,f2890,f2892,f2893,f2894,f3029,f3036,f3041,f3047,f3225,f3258,f3563,f3577,f3601,f3618,f3619,f3799,f3997,f4014,f4145,f4160,f4163,f4165,f4166,f4172,f4177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG145+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 13:00:16 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.57 % Refutation found
% 0.12/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.10/0.61 % Elapsed time: 0.254952 seconds
% 2.10/0.61 % CPU time: 1.738172 seconds
% 2.10/0.61 % Total memory used: 37.388 MB
% 2.10/0.61 % Net memory used: 36.910 MB
%------------------------------------------------------------------------------