%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG157+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 11:48:40 AM UTC 2026
% Result : Unsatisfiable 77.92s 10.50s
% Output : CNFRefutation 20.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 291
% Syntax : Number of formulae : 3653 ( 58 unt; 262 def)
% Number of atoms : 12179 (4080 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 16214 (7688 ~;7034 |;1202 &)
% ( 290 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 264 ( 262 usr; 263 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) != e3
& op(e2,op(e3,e3)) != e2
& op(e1,op(e3,e3)) != e1
& op(e0,op(e3,e3)) != e0
& op(e3,e3) = op(e3,e3) )
| ( op(e3,op(e3,e2)) != e3
& op(e2,op(e3,e2)) != e2
& op(e1,op(e3,e2)) != e1
& op(e0,op(e3,e2)) != e0
& op(e2,e3) = op(e3,e2) )
| ( op(e3,op(e3,e1)) != e3
& op(e2,op(e3,e1)) != e2
& op(e1,op(e3,e1)) != e1
& op(e0,op(e3,e1)) != e0
& op(e1,e3) = op(e3,e1) )
| ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,op(e0,op(e0,e0)))
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,op(e0,op(e0,e0)))
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,op(e0,op(e0,e0)))
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,op(e1,op(e1,e1)))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,op(e1,op(e1,e1)))
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,op(e3,op(e3,e3)))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,op(e3,op(e3,e3)))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,op(e3,op(e3,e3)))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,op(e3,op(e3,e3)))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e3,op(e3,e2)) != e3
& op(e2,op(e3,e2)) != e2
& op(e1,op(e3,e2)) != e1
& op(e0,op(e3,e2)) != e0
& op(e2,e3) = op(e3,e2) )
| ( op(e3,op(e3,e1)) != e3
& op(e2,op(e3,e1)) != e2
& op(e1,op(e3,e1)) != e1
& op(e0,op(e3,e1)) != e0
& op(e1,e3) = op(e3,e1) )
| ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( op(e3,op(e3,e3)) != e3
& op(e2,op(e3,e3)) != e2
& op(e1,op(e3,e3)) != e1
& op(e0,op(e3,e3)) != e0
& op(e3,e3) = op(e3,e3) )
| sP1_prd )
& ( ( op(op(e3,e3),e3) != e3
& op(op(e3,e3),e3) = e3
& op(e3,op(e3,e3)) != e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,op(e3,e3)) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(op(e3,e3),e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( op(op(e3,e3),e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e3,e3) = op(e3,e3)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e0,op(e3,e3)) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e1,op(e3,e3)) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( op(e2,op(e3,e3)) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e3,op(e3,e3)) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f144,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f146,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f148,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f150,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f152,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f154,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f156,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f158,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f160,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f162,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f164,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f166,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f168,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f170,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f172,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f174,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f176,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f178,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f180,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f182,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f184,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f186,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f188,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f190,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,definition,
( sP2_prd
<=> ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f192,plain,
( sP0_prd
<=> ( ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f191]) ).
fof(f193,plain,
( ( ( ( op(op(e3,e2),e2) = e3
| op(op(e3,e2),e3) != e2
| op(e3,op(e3,e2)) = e2 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(op(e3,e2),e2) != e3
& op(op(e3,e2),e3) = e2
& op(e3,op(e3,e2)) != e2 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( op(e3,op(e3,e2)) != e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(op(e3,e2),e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
( op(op(e3,e2),e2) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f199,definition,
( sP3_prd
<=> ( ( op(e3,op(e3,e1)) != e3
& op(e2,op(e3,e1)) != e2
& op(e1,op(e3,e1)) != e1
& op(e0,op(e3,e1)) != e0
& op(e1,e3) = op(e3,e1) )
| ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f200,plain,
( sP1_prd
<=> ( ( op(e3,op(e3,e2)) != e3
& op(e2,op(e3,e2)) != e2
& op(e1,op(e3,e2)) != e1
& op(e0,op(e3,e2)) != e0
& op(e2,e3) = op(e3,e2) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f199]) ).
fof(f201,plain,
( ( ( ( op(e3,op(e3,e2)) = e3
| op(e2,op(e3,e2)) = e2
| op(e1,op(e3,e2)) = e1
| op(e0,op(e3,e2)) = e0
| op(e2,e3) != op(e3,e2) )
& ~ sP3_prd )
| sP1_prd )
& ( ( op(e3,op(e3,e2)) != e3
& op(e2,op(e3,e2)) != e2
& op(e1,op(e3,e2)) != e1
& op(e0,op(e3,e2)) != e0
& op(e2,e3) = op(e3,e2) )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
( op(e2,e3) = op(e3,e2)
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e0,op(e3,e2)) != e0
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
( op(e1,op(e3,e2)) != e1
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f205,plain,
( op(e2,op(e3,e2)) != e2
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f206,plain,
( op(e3,op(e3,e2)) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f207,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f208,plain,
( op(e3,op(e3,e2)) = e3
| op(e2,op(e3,e2)) = e2
| op(e1,op(e3,e2)) = e1
| op(e0,op(e3,e2)) = e0
| op(e2,e3) != op(e3,e2)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f209,definition,
( sP4_prd
<=> ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f210,plain,
( sP2_prd
<=> ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f191,f209]) ).
fof(f211,plain,
( ( ( ( op(op(e3,e1),e1) = e3
| op(op(e3,e1),e3) != e1
| op(e3,op(e3,e1)) = e1 )
& ~ sP4_prd )
| sP2_prd )
& ( ( op(op(e3,e1),e1) != e3
& op(op(e3,e1),e3) = e1
& op(e3,op(e3,e1)) != e1 )
| sP4_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
( op(e3,op(e3,e1)) != e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( op(op(e3,e1),e3) = e1
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f214,plain,
( op(op(e3,e1),e1) != e3
| sP4_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f215,plain,
( ~ sP4_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f216,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e1),e3) != e1
| op(e3,op(e3,e1)) = e1
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f217,definition,
( sP5_prd
<=> ( ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f218,plain,
( sP3_prd
<=> ( ( op(e3,op(e3,e1)) != e3
& op(e2,op(e3,e1)) != e2
& op(e1,op(e3,e1)) != e1
& op(e0,op(e3,e1)) != e0
& op(e1,e3) = op(e3,e1) )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f199,f217]) ).
fof(f219,plain,
( ( ( ( op(e3,op(e3,e1)) = e3
| op(e2,op(e3,e1)) = e2
| op(e1,op(e3,e1)) = e1
| op(e0,op(e3,e1)) = e0
| op(e1,e3) != op(e3,e1) )
& ~ sP5_prd )
| sP3_prd )
& ( ( op(e3,op(e3,e1)) != e3
& op(e2,op(e3,e1)) != e2
& op(e1,op(e3,e1)) != e1
& op(e0,op(e3,e1)) != e0
& op(e1,e3) = op(e3,e1) )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( op(e1,e3) = op(e3,e1)
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e0,op(e3,e1)) != e0
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f222,plain,
( op(e1,op(e3,e1)) != e1
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f223,plain,
( op(e2,op(e3,e1)) != e2
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f224,plain,
( op(e3,op(e3,e1)) != e3
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f225,plain,
( ~ sP5_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f227,definition,
( sP6_prd
<=> ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f228,plain,
( sP4_prd
<=> ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f209,f227]) ).
fof(f229,plain,
( ( ( ( op(op(e3,e0),e0) = e3
| op(op(e3,e0),e3) != e0
| op(e3,op(e3,e0)) = e0 )
& ~ sP6_prd )
| sP4_prd )
& ( ( op(op(e3,e0),e0) != e3
& op(op(e3,e0),e3) = e0
& op(e3,op(e3,e0)) != e0 )
| sP6_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e3,op(e3,e0)) != e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( op(op(e3,e0),e3) = e0
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f232,plain,
( op(op(e3,e0),e0) != e3
| sP6_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f233,plain,
( ~ sP6_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f235,definition,
( sP7_prd
<=> ( ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f236,plain,
( sP5_prd
<=> ( ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f217,f235]) ).
fof(f237,plain,
( ( ( ( op(e3,op(e3,e0)) = e3
| op(e2,op(e3,e0)) = e2
| op(e1,op(e3,e0)) = e1
| op(e0,op(e3,e0)) = e0
| op(e0,e3) != op(e3,e0) )
& ~ sP7_prd )
| sP5_prd )
& ( ( op(e3,op(e3,e0)) != e3
& op(e2,op(e3,e0)) != e2
& op(e1,op(e3,e0)) != e1
& op(e0,op(e3,e0)) != e0
& op(e0,e3) = op(e3,e0) )
| sP7_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( op(e0,e3) = op(e3,e0)
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e0,op(e3,e0)) != e0
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f240,plain,
( op(e1,op(e3,e0)) != e1
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f241,plain,
( op(e2,op(e3,e0)) != e2
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f242,plain,
( op(e3,op(e3,e0)) != e3
| sP7_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f243,plain,
( ~ sP7_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f245,definition,
( sP8_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f246,plain,
( sP6_prd
<=> ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f227,f245]) ).
fof(f247,plain,
( ( ( ( op(op(e2,e3),e3) = e2
| op(op(e2,e3),e2) != e3
| op(e2,op(e2,e3)) = e3 )
& ~ sP8_prd )
| sP6_prd )
& ( ( op(op(e2,e3),e3) != e2
& op(op(e2,e3),e2) = e3
& op(e2,op(e2,e3)) != e3 )
| sP8_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( op(e2,op(e2,e3)) != e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op(op(e2,e3),e2) = e3
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op(op(e2,e3),e3) != e2
| sP8_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f251,plain,
( ~ sP8_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f253,definition,
( sP9_prd
<=> ( ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f254,plain,
( sP7_prd
<=> ( ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f235,f253]) ).
fof(f255,plain,
( ( ( ( op(e3,op(e2,e3)) = e3
| op(e2,op(e2,e3)) = e2
| op(e1,op(e2,e3)) = e1
| op(e0,op(e2,e3)) = e0
| op(e3,e2) != op(e2,e3) )
& ~ sP9_prd )
| sP7_prd )
& ( ( op(e3,op(e2,e3)) != e3
& op(e2,op(e2,e3)) != e2
& op(e1,op(e2,e3)) != e1
& op(e0,op(e2,e3)) != e0
& op(e3,e2) = op(e2,e3) )
| sP9_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
( op(e3,e2) = op(e2,e3)
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( op(e0,op(e2,e3)) != e0
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f258,plain,
( op(e1,op(e2,e3)) != e1
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f259,plain,
( op(e2,op(e2,e3)) != e2
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f260,plain,
( op(e3,op(e2,e3)) != e3
| sP9_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f261,plain,
( ~ sP9_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f262,plain,
( op(e3,op(e2,e3)) = e3
| op(e2,op(e2,e3)) = e2
| op(e1,op(e2,e3)) = e1
| op(e0,op(e2,e3)) = e0
| op(e3,e2) != op(e2,e3)
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f263,definition,
( sP10_prd
<=> ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f264,plain,
( sP8_prd
<=> ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f245,f263]) ).
fof(f265,plain,
( ( ( ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,op(e2,e2)) = e2 )
& ~ sP10_prd )
| sP8_prd )
& ( ( op(op(e2,e2),e2) != e2
& op(op(e2,e2),e2) = e2
& op(e2,op(e2,e2)) != e2 )
| sP10_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
( op(e2,op(e2,e2)) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( op(op(e2,e2),e2) = e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f268,plain,
( op(op(e2,e2),e2) != e2
| sP10_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f269,plain,
( ~ sP10_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f271,definition,
( sP11_prd
<=> ( ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f272,plain,
( sP9_prd
<=> ( ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f271]) ).
fof(f273,plain,
( ( ( ( op(e3,op(e2,e2)) = e3
| op(e2,op(e2,e2)) = e2
| op(e1,op(e2,e2)) = e1
| op(e0,op(e2,e2)) = e0
| op(e2,e2) != op(e2,e2) )
& ~ sP11_prd )
| sP9_prd )
& ( ( op(e3,op(e2,e2)) != e3
& op(e2,op(e2,e2)) != e2
& op(e1,op(e2,e2)) != e1
& op(e0,op(e2,e2)) != e0
& op(e2,e2) = op(e2,e2) )
| sP11_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( op(e0,op(e2,e2)) != e0
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
( op(e1,op(e2,e2)) != e1
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f277,plain,
( op(e2,op(e2,e2)) != e2
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f278,plain,
( op(e3,op(e2,e2)) != e3
| sP11_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f279,plain,
( ~ sP11_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f280,plain,
( op(e3,op(e2,e2)) = e3
| op(e2,op(e2,e2)) = e2
| op(e1,op(e2,e2)) = e1
| op(e0,op(e2,e2)) = e0
| op(e2,e2) != op(e2,e2)
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f281,definition,
( sP12_prd
<=> ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f282,plain,
( sP10_prd
<=> ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f263,f281]) ).
fof(f283,plain,
( ( ( ( op(op(e2,e1),e1) = e2
| op(op(e2,e1),e2) != e1
| op(e2,op(e2,e1)) = e1 )
& ~ sP12_prd )
| sP10_prd )
& ( ( op(op(e2,e1),e1) != e2
& op(op(e2,e1),e2) = e1
& op(e2,op(e2,e1)) != e1 )
| sP12_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e2,op(e2,e1)) != e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f285,plain,
( op(op(e2,e1),e2) = e1
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f286,plain,
( op(op(e2,e1),e1) != e2
| sP12_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f287,plain,
( ~ sP12_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f288,plain,
( op(op(e2,e1),e1) = e2
| op(op(e2,e1),e2) != e1
| op(e2,op(e2,e1)) = e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f289,definition,
( sP13_prd
<=> ( ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f290,plain,
( sP11_prd
<=> ( ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f271,f289]) ).
fof(f291,plain,
( ( ( ( op(e3,op(e2,e1)) = e3
| op(e2,op(e2,e1)) = e2
| op(e1,op(e2,e1)) = e1
| op(e0,op(e2,e1)) = e0
| op(e1,e2) != op(e2,e1) )
& ~ sP13_prd )
| sP11_prd )
& ( ( op(e3,op(e2,e1)) != e3
& op(e2,op(e2,e1)) != e2
& op(e1,op(e2,e1)) != e1
& op(e0,op(e2,e1)) != e0
& op(e1,e2) = op(e2,e1) )
| sP13_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f292,plain,
( op(e1,e2) = op(e2,e1)
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f293,plain,
( op(e0,op(e2,e1)) != e0
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f294,plain,
( op(e1,op(e2,e1)) != e1
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f295,plain,
( op(e2,op(e2,e1)) != e2
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f296,plain,
( op(e3,op(e2,e1)) != e3
| sP13_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f297,plain,
( ~ sP13_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f298,plain,
( op(e3,op(e2,e1)) = e3
| op(e2,op(e2,e1)) = e2
| op(e1,op(e2,e1)) = e1
| op(e0,op(e2,e1)) = e0
| op(e1,e2) != op(e2,e1)
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f299,definition,
( sP14_prd
<=> ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f300,plain,
( sP12_prd
<=> ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f281,f299]) ).
fof(f301,plain,
( ( ( ( op(op(e2,e0),e0) = e2
| op(op(e2,e0),e2) != e0
| op(e2,op(e2,e0)) = e0 )
& ~ sP14_prd )
| sP12_prd )
& ( ( op(op(e2,e0),e0) != e2
& op(op(e2,e0),e2) = e0
& op(e2,op(e2,e0)) != e0 )
| sP14_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( op(e2,op(e2,e0)) != e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( op(op(e2,e0),e2) = e0
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f304,plain,
( op(op(e2,e0),e0) != e2
| sP14_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
( ~ sP14_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f306,plain,
( op(op(e2,e0),e0) = e2
| op(op(e2,e0),e2) != e0
| op(e2,op(e2,e0)) = e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f307,definition,
( sP15_prd
<=> ( ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f308,plain,
( sP13_prd
<=> ( ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f289,f307]) ).
fof(f309,plain,
( ( ( ( op(e3,op(e2,e0)) = e3
| op(e2,op(e2,e0)) = e2
| op(e1,op(e2,e0)) = e1
| op(e0,op(e2,e0)) = e0
| op(e0,e2) != op(e2,e0) )
& ~ sP15_prd )
| sP13_prd )
& ( ( op(e3,op(e2,e0)) != e3
& op(e2,op(e2,e0)) != e2
& op(e1,op(e2,e0)) != e1
& op(e0,op(e2,e0)) != e0
& op(e0,e2) = op(e2,e0) )
| sP15_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e0,e2) = op(e2,e0)
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f311,plain,
( op(e0,op(e2,e0)) != e0
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f312,plain,
( op(e1,op(e2,e0)) != e1
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f313,plain,
( op(e2,op(e2,e0)) != e2
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f314,plain,
( op(e3,op(e2,e0)) != e3
| sP15_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f315,plain,
( ~ sP15_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f316,plain,
( op(e3,op(e2,e0)) = e3
| op(e2,op(e2,e0)) = e2
| op(e1,op(e2,e0)) = e1
| op(e0,op(e2,e0)) = e0
| op(e0,e2) != op(e2,e0)
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f317,definition,
( sP16_prd
<=> ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f318,plain,
( sP14_prd
<=> ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f299,f317]) ).
fof(f319,plain,
( ( ( ( op(op(e1,e3),e3) = e1
| op(op(e1,e3),e1) != e3
| op(e1,op(e1,e3)) = e3 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op(op(e1,e3),e3) != e1
& op(op(e1,e3),e1) = e3
& op(e1,op(e1,e3)) != e3 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
( op(e1,op(e1,e3)) != e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op(op(e1,e3),e1) = e3
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f322,plain,
( op(op(e1,e3),e3) != e1
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f323,plain,
( ~ sP16_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f325,definition,
( sP17_prd
<=> ( ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f326,plain,
( sP15_prd
<=> ( ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f307,f325]) ).
fof(f327,plain,
( ( ( ( op(e3,op(e1,e3)) = e3
| op(e2,op(e1,e3)) = e2
| op(e1,op(e1,e3)) = e1
| op(e0,op(e1,e3)) = e0
| op(e3,e1) != op(e1,e3) )
& ~ sP17_prd )
| sP15_prd )
& ( ( op(e3,op(e1,e3)) != e3
& op(e2,op(e1,e3)) != e2
& op(e1,op(e1,e3)) != e1
& op(e0,op(e1,e3)) != e0
& op(e3,e1) = op(e1,e3) )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e3,e1) = op(e1,e3)
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( op(e0,op(e1,e3)) != e0
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f330,plain,
( op(e1,op(e1,e3)) != e1
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f331,plain,
( op(e2,op(e1,e3)) != e2
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f332,plain,
( op(e3,op(e1,e3)) != e3
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f333,plain,
( ~ sP17_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f334,plain,
( op(e3,op(e1,e3)) = e3
| op(e2,op(e1,e3)) = e2
| op(e1,op(e1,e3)) = e1
| op(e0,op(e1,e3)) = e0
| op(e3,e1) != op(e1,e3)
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f335,definition,
( sP18_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f336,plain,
( sP16_prd
<=> ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f317,f335]) ).
fof(f337,plain,
( ( ( ( op(op(e1,e2),e2) = e1
| op(op(e1,e2),e1) != e2
| op(e1,op(e1,e2)) = e2 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op(op(e1,e2),e2) != e1
& op(op(e1,e2),e1) = e2
& op(e1,op(e1,e2)) != e2 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e1,op(e1,e2)) != e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(op(e1,e2),e1) = e2
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
( op(op(e1,e2),e2) != e1
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f341,plain,
( ~ sP18_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f342,plain,
( op(op(e1,e2),e2) = e1
| op(op(e1,e2),e1) != e2
| op(e1,op(e1,e2)) = e2
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f343,definition,
( sP19_prd
<=> ( ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f344,plain,
( sP17_prd
<=> ( ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f325,f343]) ).
fof(f345,plain,
( ( ( ( op(e3,op(e1,e2)) = e3
| op(e2,op(e1,e2)) = e2
| op(e1,op(e1,e2)) = e1
| op(e0,op(e1,e2)) = e0
| op(e2,e1) != op(e1,e2) )
& ~ sP19_prd )
| sP17_prd )
& ( ( op(e3,op(e1,e2)) != e3
& op(e2,op(e1,e2)) != e2
& op(e1,op(e1,e2)) != e1
& op(e0,op(e1,e2)) != e0
& op(e2,e1) = op(e1,e2) )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
( op(e2,e1) = op(e1,e2)
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( op(e0,op(e1,e2)) != e0
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f348,plain,
( op(e1,op(e1,e2)) != e1
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f349,plain,
( op(e2,op(e1,e2)) != e2
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f350,plain,
( op(e3,op(e1,e2)) != e3
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f351,plain,
( ~ sP19_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f352,plain,
( op(e3,op(e1,e2)) = e3
| op(e2,op(e1,e2)) = e2
| op(e1,op(e1,e2)) = e1
| op(e0,op(e1,e2)) = e0
| op(e2,e1) != op(e1,e2)
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f353,definition,
( sP20_prd
<=> ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f354,plain,
( sP18_prd
<=> ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f335,f353]) ).
fof(f355,plain,
( ( ( ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,op(e1,e1)) = e1 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op(op(e1,e1),e1) != e1
& op(op(e1,e1),e1) = e1
& op(e1,op(e1,e1)) != e1 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e1,op(e1,e1)) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( op(op(e1,e1),e1) = e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f358,plain,
( op(op(e1,e1),e1) != e1
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f359,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f361,definition,
( sP21_prd
<=> ( ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f362,plain,
( sP19_prd
<=> ( ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f343,f361]) ).
fof(f363,plain,
( ( ( ( op(e3,op(e1,e1)) = e3
| op(e2,op(e1,e1)) = e2
| op(e1,op(e1,e1)) = e1
| op(e0,op(e1,e1)) = e0
| op(e1,e1) != op(e1,e1) )
& ~ sP21_prd )
| sP19_prd )
& ( ( op(e3,op(e1,e1)) != e3
& op(e2,op(e1,e1)) != e2
& op(e1,op(e1,e1)) != e1
& op(e0,op(e1,e1)) != e0
& op(e1,e1) = op(e1,e1) )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f362]) ).
fof(f365,plain,
( op(e0,op(e1,e1)) != e0
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f366,plain,
( op(e1,op(e1,e1)) != e1
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f367,plain,
( op(e2,op(e1,e1)) != e2
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f368,plain,
( op(e3,op(e1,e1)) != e3
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f369,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f370,plain,
( op(e3,op(e1,e1)) = e3
| op(e2,op(e1,e1)) = e2
| op(e1,op(e1,e1)) = e1
| op(e0,op(e1,e1)) = e0
| op(e1,e1) != op(e1,e1)
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f371,definition,
( sP22_prd
<=> ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f372,plain,
( sP20_prd
<=> ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f353,f371]) ).
fof(f373,plain,
( ( ( ( op(op(e1,e0),e0) = e1
| op(op(e1,e0),e1) != e0
| op(e1,op(e1,e0)) = e0 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op(op(e1,e0),e0) != e1
& op(op(e1,e0),e1) = e0
& op(e1,op(e1,e0)) != e0 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
( op(e1,op(e1,e0)) != e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( op(op(e1,e0),e1) = e0
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f376,plain,
( op(op(e1,e0),e0) != e1
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f377,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f378,plain,
( op(op(e1,e0),e0) = e1
| op(op(e1,e0),e1) != e0
| op(e1,op(e1,e0)) = e0
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f379,definition,
( sP23_prd
<=> ( ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f380,plain,
( sP21_prd
<=> ( ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f361,f379]) ).
fof(f381,plain,
( ( ( ( op(e3,op(e1,e0)) = e3
| op(e2,op(e1,e0)) = e2
| op(e1,op(e1,e0)) = e1
| op(e0,op(e1,e0)) = e0
| op(e0,e1) != op(e1,e0) )
& ~ sP23_prd )
| sP21_prd )
& ( ( op(e3,op(e1,e0)) != e3
& op(e2,op(e1,e0)) != e2
& op(e1,op(e1,e0)) != e1
& op(e0,op(e1,e0)) != e0
& op(e0,e1) = op(e1,e0) )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
( op(e0,e1) = op(e1,e0)
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
( op(e0,op(e1,e0)) != e0
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f384,plain,
( op(e1,op(e1,e0)) != e1
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f385,plain,
( op(e2,op(e1,e0)) != e2
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f386,plain,
( op(e3,op(e1,e0)) != e3
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f387,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f389,definition,
( sP24_prd
<=> ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f390,plain,
( sP22_prd
<=> ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f371,f389]) ).
fof(f391,plain,
( ( ( ( op(op(e0,e3),e3) = e0
| op(op(e0,e3),e0) != e3
| op(e0,op(e0,e3)) = e3 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op(op(e0,e3),e3) != e0
& op(op(e0,e3),e0) = e3
& op(e0,op(e0,e3)) != e3 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
( op(e0,op(e0,e3)) != e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( op(op(e0,e3),e0) = e3
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f394,plain,
( op(op(e0,e3),e3) != e0
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f395,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f396,plain,
( op(op(e0,e3),e3) = e0
| op(op(e0,e3),e0) != e3
| op(e0,op(e0,e3)) = e3
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f397,definition,
( sP25_prd
<=> ( ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f398,plain,
( sP23_prd
<=> ( ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f379,f397]) ).
fof(f399,plain,
( ( ( ( op(e3,op(e0,e3)) = e3
| op(e2,op(e0,e3)) = e2
| op(e1,op(e0,e3)) = e1
| op(e0,op(e0,e3)) = e0
| op(e3,e0) != op(e0,e3) )
& ~ sP25_prd )
| sP23_prd )
& ( ( op(e3,op(e0,e3)) != e3
& op(e2,op(e0,e3)) != e2
& op(e1,op(e0,e3)) != e1
& op(e0,op(e0,e3)) != e0
& op(e3,e0) = op(e0,e3) )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f398]) ).
fof(f400,plain,
( op(e3,e0) = op(e0,e3)
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f401,plain,
( op(e0,op(e0,e3)) != e0
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f402,plain,
( op(e1,op(e0,e3)) != e1
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f403,plain,
( op(e2,op(e0,e3)) != e2
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f404,plain,
( op(e3,op(e0,e3)) != e3
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f405,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f406,plain,
( op(e3,op(e0,e3)) = e3
| op(e2,op(e0,e3)) = e2
| op(e1,op(e0,e3)) = e1
| op(e0,op(e0,e3)) = e0
| op(e3,e0) != op(e0,e3)
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f407,definition,
( sP26_prd
<=> ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f408,plain,
( sP24_prd
<=> ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f389,f407]) ).
fof(f409,plain,
( ( ( ( op(op(e0,e2),e2) = e0
| op(op(e0,e2),e0) != e2
| op(e0,op(e0,e2)) = e2 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op(op(e0,e2),e2) != e0
& op(op(e0,e2),e0) = e2
& op(e0,op(e0,e2)) != e2 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f408]) ).
fof(f410,plain,
( op(e0,op(e0,e2)) != e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f411,plain,
( op(op(e0,e2),e0) = e2
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f412,plain,
( op(op(e0,e2),e2) != e0
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f413,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f414,plain,
( op(op(e0,e2),e2) = e0
| op(op(e0,e2),e0) != e2
| op(e0,op(e0,e2)) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f415,definition,
( sP27_prd
<=> ( ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f416,plain,
( sP25_prd
<=> ( ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f397,f415]) ).
fof(f417,plain,
( ( ( ( op(e3,op(e0,e2)) = e3
| op(e2,op(e0,e2)) = e2
| op(e1,op(e0,e2)) = e1
| op(e0,op(e0,e2)) = e0
| op(e2,e0) != op(e0,e2) )
& ~ sP27_prd )
| sP25_prd )
& ( ( op(e3,op(e0,e2)) != e3
& op(e2,op(e0,e2)) != e2
& op(e1,op(e0,e2)) != e1
& op(e0,op(e0,e2)) != e0
& op(e2,e0) = op(e0,e2) )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f418,plain,
( op(e2,e0) = op(e0,e2)
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f419,plain,
( op(e0,op(e0,e2)) != e0
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f420,plain,
( op(e1,op(e0,e2)) != e1
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
( op(e2,op(e0,e2)) != e2
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f422,plain,
( op(e3,op(e0,e2)) != e3
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f424,plain,
( op(e3,op(e0,e2)) = e3
| op(e2,op(e0,e2)) = e2
| op(e1,op(e0,e2)) = e1
| op(e0,op(e0,e2)) = e0
| op(e2,e0) != op(e0,e2)
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f425,definition,
( sP28_prd
<=> ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f426,plain,
( sP26_prd
<=> ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f407,f425]) ).
fof(f427,plain,
( ( ( ( op(op(e0,e1),e1) = e0
| op(op(e0,e1),e0) != e1
| op(e0,op(e0,e1)) = e1 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op(op(e0,e1),e1) != e0
& op(op(e0,e1),e0) = e1
& op(e0,op(e0,e1)) != e1 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f428,plain,
( op(e0,op(e0,e1)) != e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( op(op(e0,e1),e0) = e1
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f430,plain,
( op(op(e0,e1),e1) != e0
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f431,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f432,plain,
( op(op(e0,e1),e1) = e0
| op(op(e0,e1),e0) != e1
| op(e0,op(e0,e1)) = e1
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f433,definition,
( sP29_prd
<=> ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f434,plain,
( sP27_prd
<=> ( ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f415,f433]) ).
fof(f435,plain,
( ( ( ( op(e3,op(e0,e1)) = e3
| op(e2,op(e0,e1)) = e2
| op(e1,op(e0,e1)) = e1
| op(e0,op(e0,e1)) = e0
| op(e1,e0) != op(e0,e1) )
& ~ sP29_prd )
| sP27_prd )
& ( ( op(e3,op(e0,e1)) != e3
& op(e2,op(e0,e1)) != e2
& op(e1,op(e0,e1)) != e1
& op(e0,op(e0,e1)) != e0
& op(e1,e0) = op(e0,e1) )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
( op(e1,e0) = op(e0,e1)
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
( op(e0,op(e0,e1)) != e0
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f438,plain,
( op(e1,op(e0,e1)) != e1
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f439,plain,
( op(e2,op(e0,e1)) != e2
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f440,plain,
( op(e3,op(e0,e1)) != e3
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f441,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f442,plain,
( op(e3,op(e0,e1)) = e3
| op(e2,op(e0,e1)) = e2
| op(e1,op(e0,e1)) = e1
| op(e0,op(e0,e1)) = e0
| op(e1,e0) != op(e0,e1)
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f443,plain,
( ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,op(e0,e0)) = e0
| sP28_prd )
& ( ( op(op(e0,e0),e0) != e0
& op(op(e0,e0),e0) = e0
& op(e0,op(e0,e0)) != e0 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f444,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f445,plain,
( op(op(e0,e0),e0) = e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f446,plain,
( op(op(e0,e0),e0) != e0
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f448,plain,
( ( op(e3,op(e0,e0)) = e3
| op(e2,op(e0,e0)) = e2
| op(e1,op(e0,e0)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) != op(e0,e0)
| sP29_prd )
& ( ( op(e3,op(e0,e0)) != e3
& op(e2,op(e0,e0)) != e2
& op(e1,op(e0,e0)) != e1
& op(e0,op(e0,e0)) != e0
& op(e0,e0) = op(e0,e0) )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f450,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f451,plain,
( op(e1,op(e0,e0)) != e1
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f452,plain,
( op(e2,op(e0,e0)) != e2
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f453,plain,
( op(e3,op(e0,e0)) != e3
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f454,plain,
( op(e3,op(e0,e0)) = e3
| op(e2,op(e0,e0)) = e2
| op(e1,op(e0,e0)) = e1
| op(e0,op(e0,e0)) = e0
| op(e0,e0) != op(e0,e0)
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f455,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ2_spl
| op(e0,e0) != e2 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f455,f458,f461,f464]) ).
fof(f468,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ4_spl
| op(e0,e1) != e0 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f468,f471,f474,f477]) ).
fof(f481,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ8_spl
| op(e0,e2) != e0 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ10_spl
| op(e0,e2) != e2 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f481,f484,f487,f490]) ).
fof(f494,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ12_spl
| op(e0,e3) != e0 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f494,f497,f500,f503]) ).
fof(f507,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f509,plain,
( sQ16_spl
| op(e1,e0) != e0 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ18_spl
| op(e1,e0) != e2 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f507,f510,f513,f516]) ).
fof(f520,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f520,f523,f526,f529]) ).
fof(f533,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ25_spl
| op(e1,e2) != e1 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ26_spl
| op(e1,e2) != e2 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f533,f536,f539,f542]) ).
fof(f546,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( sQ29_spl
| op(e1,e3) != e1 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f546,f549,f552,f555]) ).
fof(f559,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f559,f562,f565,f568]) ).
fof(f572,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ37_spl
| op(e2,e1) != e1 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f572,f575,f578,f581]) ).
fof(f585,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f585,f588,f591,f594]) ).
fof(f598,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f598,f601,f604,f607]) ).
fof(f611,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ49_spl
| op(e3,e0) != e1 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ51_spl
| op(e3,e0) != e3 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f611,f614,f617,f620]) ).
fof(f624,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ55_spl
| op(e3,e1) != e3 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f624,f627,f630,f633]) ).
fof(f637,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ57_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( sQ58_spl
| op(e3,e2) != e2 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f637,f640,f643,f646]) ).
fof(f650,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f650,f653,f656,f659]) ).
fof(f663,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f455,f468,f481,f494]) ).
fof(f664,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f455,f507,f559,f611]) ).
fof(f665,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f458,f471,f484,f497]) ).
fof(f666,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f458,f510,f562,f614]) ).
fof(f667,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f461,f474,f487,f500]) ).
fof(f668,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f461,f513,f565,f617]) ).
fof(f669,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f464,f477,f490,f503]) ).
fof(f670,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f464,f516,f568,f620]) ).
fof(f671,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f507,f520,f533,f546]) ).
fof(f672,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f468,f520,f572,f624]) ).
fof(f673,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f510,f523,f536,f549]) ).
fof(f674,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f471,f523,f575,f627]) ).
fof(f675,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f513,f526,f539,f552]) ).
fof(f676,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f474,f526,f578,f630]) ).
fof(f677,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f516,f529,f542,f555]) ).
fof(f678,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f477,f529,f581,f633]) ).
fof(f679,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f559,f572,f585,f598]) ).
fof(f680,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f481,f533,f585,f637]) ).
fof(f681,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f562,f575,f588,f601]) ).
fof(f682,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f484,f536,f588,f640]) ).
fof(f683,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f565,f578,f591,f604]) ).
fof(f684,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f487,f539,f591,f643]) ).
fof(f685,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f568,f581,f594,f607]) ).
fof(f686,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f490,f542,f594,f646]) ).
fof(f687,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f611,f624,f637,f650]) ).
fof(f688,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f494,f546,f598,f650]) ).
fof(f689,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f614,f627,f640,f653]) ).
fof(f690,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f497,f549,f601,f653]) ).
fof(f691,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f617,f630,f643,f656]) ).
fof(f692,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f500,f552,f604,f656]) ).
fof(f693,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f620,f633,f646,f659]) ).
fof(f694,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f503,f555,f607,f659]) ).
fof(f695,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f698,definition,
( sQ65_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ65_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( sQ65_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f695,f698]) ).
fof(f702,definition,
( sQ66_spl
<=> op(op(e3,e3),e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ66_spl
| op(op(e3,e3),e3) = e3 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( sQ66_spl
| op(op(e3,e3),e3) != e3 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f695,f702]) ).
fof(f706,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f695,f702]) ).
fof(f707,definition,
( sQ67_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f710,definition,
( sQ68_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f138,f707,f710]) ).
fof(f714,definition,
( sQ69_spl
<=> op(e0,op(e3,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ69_spl
| op(e0,op(e3,e3)) = e0 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( sQ69_spl
| op(e0,op(e3,e3)) != e0 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ69_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f139,f707,f714]) ).
fof(f718,definition,
( sQ70_spl
<=> op(e1,op(e3,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ70_spl
| op(e1,op(e3,e3)) = e1 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( sQ70_spl
| op(e1,op(e3,e3)) != e1 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( ~ sQ70_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f140,f707,f718]) ).
fof(f722,definition,
( sQ71_spl
<=> op(e2,op(e3,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ71_spl
| op(e2,op(e3,e3)) = e2 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f724,plain,
( sQ71_spl
| op(e2,op(e3,e3)) != e2 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( ~ sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f141,f707,f722]) ).
fof(f726,plain,
( ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f142,f707,f698]) ).
fof(f727,definition,
( sQ72_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ72_spl
| e1 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( sQ72_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ73_spl
<=> e3 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ73_spl
| e3 = op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f732,plain,
( sQ73_spl
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,plain,
( ~ sQ73_spl
| ~ sQ2_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f144,f727,f461,f730]) ).
fof(f734,definition,
( sQ74_spl
<=> e2 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ74_spl
| e2 = op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( sQ74_spl
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ74_spl
| ~ sQ3_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f146,f727,f464,f734]) ).
fof(f738,definition,
( sQ75_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ75_spl
| e2 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( sQ75_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f148,f738,f458,f730]) ).
fof(f742,definition,
( sQ76_spl
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ76_spl
| e1 = op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f744,plain,
( sQ76_spl
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ sQ76_spl
| ~ sQ3_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f150,f738,f464,f742]) ).
fof(f746,definition,
( sQ77_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ77_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ sQ74_spl
| ~ sQ1_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f152,f746,f458,f734]) ).
fof(f750,plain,
( ~ sQ76_spl
| ~ sQ2_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f154,f746,f461,f742]) ).
fof(f751,definition,
( sQ78_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ78_spl
| e0 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( sQ78_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ79_spl
<=> e3 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ79_spl
| e3 = op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f756,plain,
( sQ79_spl
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f156,f751,f526,f754]) ).
fof(f758,definition,
( sQ80_spl
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ80_spl
| e2 = op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( sQ80_spl
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f158,f751,f529,f758]) ).
fof(f762,definition,
( sQ81_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ81_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ81_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ sQ79_spl
| ~ sQ20_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f160,f762,f520,f754]) ).
fof(f766,definition,
( sQ82_spl
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( sQ82_spl
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( ~ sQ82_spl
| ~ sQ23_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f162,f762,f529,f766]) ).
fof(f770,definition,
( sQ83_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ83_spl
| e3 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( sQ83_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ80_spl
| ~ sQ20_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f164,f770,f520,f758]) ).
fof(f774,plain,
( ~ sQ82_spl
| ~ sQ22_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f166,f770,f526,f766]) ).
fof(f775,definition,
( sQ84_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ84_spl
| e0 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( sQ84_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ85_spl
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ85_spl
| e3 = op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( sQ85_spl
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( ~ sQ85_spl
| ~ sQ41_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f168,f775,f588,f778]) ).
fof(f782,definition,
( sQ86_spl
<=> e1 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ86_spl
| e1 = op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( sQ86_spl
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,plain,
( ~ sQ86_spl
| ~ sQ43_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f170,f775,f594,f782]) ).
fof(f786,definition,
( sQ87_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ87_spl
| e1 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f788,plain,
( sQ87_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ sQ85_spl
| ~ sQ40_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f172,f786,f585,f778]) ).
fof(f790,definition,
( sQ88_spl
<=> e0 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ88_spl
| e0 = op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( sQ88_spl
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f174,f786,f594,f790]) ).
fof(f794,definition,
( sQ89_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ89_spl
| e3 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ89_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( ~ sQ86_spl
| ~ sQ40_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f176,f794,f585,f782]) ).
fof(f798,plain,
( ~ sQ88_spl
| ~ sQ41_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f178,f794,f588,f790]) ).
fof(f799,definition,
( sQ90_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ90_spl
| e0 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( sQ90_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,definition,
( sQ91_spl
<=> e2 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ91_spl
| e2 = op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( sQ91_spl
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( ~ sQ91_spl
| ~ sQ61_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f180,f799,f653,f802]) ).
fof(f806,definition,
( sQ92_spl
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ92_spl
| e1 = op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f808,plain,
( sQ92_spl
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f182,f799,f656,f806]) ).
fof(f810,definition,
( sQ93_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ93_spl
| e1 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( sQ93_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ91_spl
| ~ sQ60_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f184,f810,f650,f802]) ).
fof(f814,definition,
( sQ94_spl
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ94_spl
| e0 = op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ94_spl
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( ~ sQ94_spl
| ~ sQ62_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f186,f810,f656,f814]) ).
fof(f818,definition,
( sQ95_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ95_spl
| e2 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( sQ95_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( ~ sQ92_spl
| ~ sQ60_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f188,f818,f650,f806]) ).
fof(f822,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f190,f818,f653,f814]) ).
fof(f823,definition,
( sQ96_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f826,definition,
( sQ97_spl
<=> op(e3,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ97_spl
| op(e3,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( sQ97_spl
| op(e3,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( ~ sQ97_spl
| sQ96_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f194,f695,f823,f826]) ).
fof(f830,definition,
( sQ98_spl
<=> op(op(e3,e2),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ98_spl
| op(op(e3,e2),e3) = e2 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( sQ98_spl
| op(op(e3,e2),e3) != e2 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( sQ98_spl
| sQ96_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f195,f695,f823,f830]) ).
fof(f834,definition,
( sQ99_spl
<=> op(op(e3,e2),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ99_spl
| op(op(e3,e2),e2) = e3 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( sQ99_spl
| op(op(e3,e2),e2) != e3 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( ~ sQ99_spl
| sQ96_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f695,f823,f834]) ).
fof(f838,plain,
( ~ sQ96_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f695,f823]) ).
fof(f840,definition,
( sQ100_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f843,definition,
( sQ101_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ101_spl
| op(e2,e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( sQ101_spl
| op(e2,e3) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( sQ101_spl
| sQ100_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f202,f707,f840,f843]) ).
fof(f847,definition,
( sQ102_spl
<=> op(e0,op(e3,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ102_spl
| op(e0,op(e3,e2)) = e0 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ102_spl
| op(e0,op(e3,e2)) != e0 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ102_spl
| sQ100_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f203,f707,f840,f847]) ).
fof(f851,definition,
( sQ103_spl
<=> op(e1,op(e3,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ103_spl
| op(e1,op(e3,e2)) = e1 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( sQ103_spl
| op(e1,op(e3,e2)) != e1 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( ~ sQ103_spl
| sQ100_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f204,f707,f840,f851]) ).
fof(f855,definition,
( sQ104_spl
<=> op(e2,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ104_spl
| op(e2,op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( sQ104_spl
| op(e2,op(e3,e2)) != e2 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( ~ sQ104_spl
| sQ100_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f205,f707,f840,f855]) ).
fof(f859,definition,
( sQ105_spl
<=> op(e3,op(e3,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ105_spl
| op(e3,op(e3,e2)) = e3 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f861,plain,
( sQ105_spl
| op(e3,op(e3,e2)) != e3 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( ~ sQ105_spl
| sQ100_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f206,f707,f840,f859]) ).
fof(f863,plain,
( ~ sQ100_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f207,f707,f840]) ).
fof(f864,plain,
( sQ105_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| ~ sQ101_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f208,f707,f843,f847,f851,f855,f859]) ).
fof(f865,definition,
( sQ106_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f868,definition,
( sQ107_spl
<=> op(e3,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ107_spl
| op(e3,op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f870,plain,
( sQ107_spl
| op(e3,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f212,f823,f865,f868]) ).
fof(f872,definition,
( sQ108_spl
<=> op(op(e3,e1),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ108_spl
| op(op(e3,e1),e3) = e1 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( sQ108_spl
| op(op(e3,e1),e3) != e1 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( sQ108_spl
| sQ106_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f213,f823,f865,f872]) ).
fof(f876,definition,
( sQ109_spl
<=> op(op(e3,e1),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ109_spl
| op(op(e3,e1),e1) = e3 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( sQ109_spl
| op(op(e3,e1),e1) != e3 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ109_spl
| sQ106_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f214,f823,f865,f876]) ).
fof(f880,plain,
( ~ sQ106_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f215,f823,f865]) ).
fof(f881,plain,
( sQ109_spl
| ~ sQ108_spl
| sQ107_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f216,f823,f868,f872,f876]) ).
fof(f882,definition,
( sQ110_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f885,definition,
( sQ111_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ111_spl
| op(e1,e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f887,plain,
( sQ111_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( sQ111_spl
| sQ110_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f220,f840,f882,f885]) ).
fof(f889,definition,
( sQ112_spl
<=> op(e0,op(e3,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( sQ112_spl
| op(e0,op(e3,e1)) != e0 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ112_spl
| sQ110_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f221,f840,f882,f889]) ).
fof(f893,definition,
( sQ113_spl
<=> op(e1,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( sQ113_spl
| op(e1,op(e3,e1)) != e1 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ113_spl
| sQ110_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f222,f840,f882,f893]) ).
fof(f897,definition,
( sQ114_spl
<=> op(e2,op(e3,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ114_spl
| op(e2,op(e3,e1)) = e2 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( sQ114_spl
| op(e2,op(e3,e1)) != e2 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( ~ sQ114_spl
| sQ110_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f223,f840,f882,f897]) ).
fof(f901,definition,
( sQ115_spl
<=> op(e3,op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( sQ115_spl
| op(e3,op(e3,e1)) != e3 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( ~ sQ115_spl
| sQ110_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f224,f840,f882,f901]) ).
fof(f905,plain,
( ~ sQ110_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f225,f840,f882]) ).
fof(f907,definition,
( sQ116_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f910,definition,
( sQ117_spl
<=> op(e3,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ117_spl
| op(e3,op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f912,plain,
( sQ117_spl
| op(e3,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,plain,
( ~ sQ117_spl
| sQ116_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f230,f865,f907,f910]) ).
fof(f914,definition,
( sQ118_spl
<=> op(op(e3,e0),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ118_spl
| op(op(e3,e0),e3) = e0 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f916,plain,
( sQ118_spl
| op(op(e3,e0),e3) != e0 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( sQ118_spl
| sQ116_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f231,f865,f907,f914]) ).
fof(f918,definition,
( sQ119_spl
<=> op(op(e3,e0),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( sQ119_spl
| op(op(e3,e0),e0) != e3 ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( ~ sQ119_spl
| sQ116_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f232,f865,f907,f918]) ).
fof(f922,plain,
( ~ sQ116_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f233,f865,f907]) ).
fof(f924,definition,
( sQ120_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f927,definition,
( sQ121_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ121_spl
| op(e0,e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( sQ121_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( sQ121_spl
| sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f238,f882,f924,f927]) ).
fof(f931,definition,
( sQ122_spl
<=> op(e0,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( sQ122_spl
| op(e0,op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( ~ sQ122_spl
| sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f239,f882,f924,f931]) ).
fof(f935,definition,
( sQ123_spl
<=> op(e1,op(e3,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( sQ123_spl
| op(e1,op(e3,e0)) != e1 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( ~ sQ123_spl
| sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f240,f882,f924,f935]) ).
fof(f939,definition,
( sQ124_spl
<=> op(e2,op(e3,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( sQ124_spl
| op(e2,op(e3,e0)) != e2 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( ~ sQ124_spl
| sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f241,f882,f924,f939]) ).
fof(f943,definition,
( sQ125_spl
<=> op(e3,op(e3,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ125_spl
| sQ120_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f242,f882,f924,f943]) ).
fof(f947,plain,
( ~ sQ120_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f243,f882,f924]) ).
fof(f949,definition,
( sQ126_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f952,definition,
( sQ127_spl
<=> op(e2,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ127_spl
| op(e2,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( sQ127_spl
| op(e2,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,plain,
( ~ sQ127_spl
| sQ126_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f248,f907,f949,f952]) ).
fof(f956,definition,
( sQ128_spl
<=> op(op(e2,e3),e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ128_spl
| op(op(e2,e3),e2) = e3 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f958,plain,
( sQ128_spl
| op(op(e2,e3),e2) != e3 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( sQ128_spl
| sQ126_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f249,f907,f949,f956]) ).
fof(f960,definition,
( sQ129_spl
<=> op(op(e2,e3),e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ129_spl
| op(op(e2,e3),e3) = e2 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( sQ129_spl
| op(op(e2,e3),e3) != e2 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( ~ sQ129_spl
| sQ126_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f250,f907,f949,f960]) ).
fof(f964,plain,
( ~ sQ126_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f251,f907,f949]) ).
fof(f966,definition,
( sQ130_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( sQ101_spl
| sQ130_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f256,f924,f966,f843]) ).
fof(f970,definition,
( sQ131_spl
<=> op(e0,op(e2,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ131_spl
| op(e0,op(e2,e3)) = e0 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( sQ131_spl
| op(e0,op(e2,e3)) != e0 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ131_spl
| sQ130_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f257,f924,f966,f970]) ).
fof(f974,definition,
( sQ132_spl
<=> op(e1,op(e2,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ132_spl
| op(e1,op(e2,e3)) = e1 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f976,plain,
( sQ132_spl
| op(e1,op(e2,e3)) != e1 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( ~ sQ132_spl
| sQ130_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f258,f924,f966,f974]) ).
fof(f978,definition,
( sQ133_spl
<=> op(e2,op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( ~ sQ133_spl
| op(e2,op(e2,e3)) = e2 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( sQ133_spl
| op(e2,op(e2,e3)) != e2 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,plain,
( ~ sQ133_spl
| sQ130_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f259,f924,f966,f978]) ).
fof(f982,definition,
( sQ134_spl
<=> op(e3,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ134_spl
| op(e3,op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f984,plain,
( sQ134_spl
| op(e3,op(e2,e3)) != e3 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( ~ sQ134_spl
| sQ130_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f260,f924,f966,f982]) ).
fof(f986,plain,
( ~ sQ130_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f261,f924,f966]) ).
fof(f987,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| ~ sQ101_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f262,f924,f843,f970,f974,f978,f982]) ).
fof(f988,definition,
( sQ135_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f991,definition,
( sQ136_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ136_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( sQ136_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,plain,
( ~ sQ136_spl
| sQ135_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f266,f949,f988,f991]) ).
fof(f995,definition,
( sQ137_spl
<=> op(op(e2,e2),e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ137_spl
| op(op(e2,e2),e2) = e2 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f997,plain,
( sQ137_spl
| op(op(e2,e2),e2) != e2 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( sQ137_spl
| sQ135_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f267,f949,f988,f995]) ).
fof(f999,plain,
( ~ sQ137_spl
| sQ135_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f268,f949,f988,f995]) ).
fof(f1000,plain,
( ~ sQ135_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f269,f949,f988]) ).
fof(f1002,definition,
( sQ138_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1005,definition,
( sQ139_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( sQ139_spl
| op(e2,e2) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1009,definition,
( sQ140_spl
<=> op(e0,op(e2,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ140_spl
| op(e0,op(e2,e2)) = e0 ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( sQ140_spl
| op(e0,op(e2,e2)) != e0 ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( ~ sQ140_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f275,f966,f1002,f1009]) ).
fof(f1013,definition,
( sQ141_spl
<=> op(e1,op(e2,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ141_spl
| op(e1,op(e2,e2)) = e1 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1015,plain,
( sQ141_spl
| op(e1,op(e2,e2)) != e1 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( ~ sQ141_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f276,f966,f1002,f1013]) ).
fof(f1017,plain,
( ~ sQ136_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f277,f966,f1002,f991]) ).
fof(f1018,definition,
( sQ142_spl
<=> op(e3,op(e2,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ142_spl
| op(e3,op(e2,e2)) = e3 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ142_spl
| op(e3,op(e2,e2)) != e3 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( ~ sQ142_spl
| sQ138_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f278,f966,f1002,f1018]) ).
fof(f1022,plain,
( ~ sQ138_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f279,f966,f1002]) ).
fof(f1023,plain,
( sQ142_spl
| sQ136_spl
| sQ141_spl
| sQ140_spl
| ~ sQ139_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f280,f966,f1005,f1009,f1013,f991,f1018]) ).
fof(f1024,definition,
( sQ143_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1027,definition,
( sQ144_spl
<=> op(e2,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( ~ sQ144_spl
| op(e2,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1029,plain,
( sQ144_spl
| op(e2,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,plain,
( ~ sQ144_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f284,f988,f1024,f1027]) ).
fof(f1031,definition,
( sQ145_spl
<=> op(op(e2,e1),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ145_spl
| op(op(e2,e1),e2) = e1 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sQ145_spl
| op(op(e2,e1),e2) != e1 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,plain,
( sQ145_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f285,f988,f1024,f1031]) ).
fof(f1035,definition,
( sQ146_spl
<=> op(op(e2,e1),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ146_spl
| op(op(e2,e1),e1) = e2 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1037,plain,
( sQ146_spl
| op(op(e2,e1),e1) != e2 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( ~ sQ146_spl
| sQ143_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f286,f988,f1024,f1035]) ).
fof(f1039,plain,
( ~ sQ143_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f287,f988,f1024]) ).
fof(f1040,plain,
( sQ146_spl
| ~ sQ145_spl
| sQ144_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f288,f988,f1027,f1031,f1035]) ).
fof(f1041,definition,
( sQ147_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1044,definition,
( sQ148_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ148_spl
| op(e1,e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1046,plain,
( sQ148_spl
| op(e1,e2) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( sQ148_spl
| sQ147_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f292,f1002,f1041,f1044]) ).
fof(f1048,definition,
( sQ149_spl
<=> op(e0,op(e2,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ149_spl
| op(e0,op(e2,e1)) = e0 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1050,plain,
( sQ149_spl
| op(e0,op(e2,e1)) != e0 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,plain,
( ~ sQ149_spl
| sQ147_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f293,f1002,f1041,f1048]) ).
fof(f1052,definition,
( sQ150_spl
<=> op(e1,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( ~ sQ150_spl
| op(e1,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
( sQ150_spl
| op(e1,op(e2,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( ~ sQ150_spl
| sQ147_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f294,f1002,f1041,f1052]) ).
fof(f1056,definition,
( sQ151_spl
<=> op(e2,op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ151_spl
| op(e2,op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( sQ151_spl
| op(e2,op(e2,e1)) != e2 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ151_spl
| sQ147_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f295,f1002,f1041,f1056]) ).
fof(f1060,definition,
( sQ152_spl
<=> op(e3,op(e2,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ152_spl
| op(e3,op(e2,e1)) = e3 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ152_spl
| op(e3,op(e2,e1)) != e3 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,plain,
( ~ sQ152_spl
| sQ147_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f296,f1002,f1041,f1060]) ).
fof(f1064,plain,
( ~ sQ147_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f297,f1002,f1041]) ).
fof(f1065,plain,
( sQ152_spl
| sQ151_spl
| sQ150_spl
| sQ149_spl
| ~ sQ148_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f298,f1002,f1044,f1048,f1052,f1056,f1060]) ).
fof(f1066,definition,
( sQ153_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1069,definition,
( sQ154_spl
<=> op(e2,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ154_spl
| op(e2,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( sQ154_spl
| op(e2,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( ~ sQ154_spl
| sQ153_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f302,f1024,f1066,f1069]) ).
fof(f1073,definition,
( sQ155_spl
<=> op(op(e2,e0),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ155_spl
| op(op(e2,e0),e2) = e0 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1075,plain,
( sQ155_spl
| op(op(e2,e0),e2) != e0 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,plain,
( sQ155_spl
| sQ153_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f303,f1024,f1066,f1073]) ).
fof(f1077,definition,
( sQ156_spl
<=> op(op(e2,e0),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ156_spl
| op(op(e2,e0),e0) = e2 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1079,plain,
( sQ156_spl
| op(op(e2,e0),e0) != e2 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( ~ sQ156_spl
| sQ153_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f304,f1024,f1066,f1077]) ).
fof(f1081,plain,
( ~ sQ153_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f305,f1024,f1066]) ).
fof(f1082,plain,
( sQ156_spl
| ~ sQ155_spl
| sQ154_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f306,f1024,f1069,f1073,f1077]) ).
fof(f1083,definition,
( sQ157_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1086,definition,
( sQ158_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ158_spl
| op(e0,e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( sQ158_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( sQ158_spl
| sQ157_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f310,f1041,f1083,f1086]) ).
fof(f1090,definition,
( sQ159_spl
<=> op(e0,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( ~ sQ159_spl
| op(e0,op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( sQ159_spl
| op(e0,op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( ~ sQ159_spl
| sQ157_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f311,f1041,f1083,f1090]) ).
fof(f1094,definition,
( sQ160_spl
<=> op(e1,op(e2,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ160_spl
| op(e1,op(e2,e0)) = e1 ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ160_spl
| op(e1,op(e2,e0)) != e1 ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ160_spl
| sQ157_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f312,f1041,f1083,f1094]) ).
fof(f1098,definition,
( sQ161_spl
<=> op(e2,op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ161_spl
| op(e2,op(e2,e0)) = e2 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1100,plain,
( sQ161_spl
| op(e2,op(e2,e0)) != e2 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ161_spl
| sQ157_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f313,f1041,f1083,f1098]) ).
fof(f1102,definition,
( sQ162_spl
<=> op(e3,op(e2,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ162_spl
| op(e3,op(e2,e0)) = e3 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1104,plain,
( sQ162_spl
| op(e3,op(e2,e0)) != e3 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( ~ sQ162_spl
| sQ157_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f314,f1041,f1083,f1102]) ).
fof(f1106,plain,
( ~ sQ157_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f315,f1041,f1083]) ).
fof(f1107,plain,
( sQ162_spl
| sQ161_spl
| sQ160_spl
| sQ159_spl
| ~ sQ158_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f316,f1041,f1086,f1090,f1094,f1098,f1102]) ).
fof(f1108,definition,
( sQ163_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1111,definition,
( sQ164_spl
<=> op(e1,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ164_spl
| op(e1,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1113,plain,
( sQ164_spl
| op(e1,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ164_spl
| sQ163_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f320,f1066,f1108,f1111]) ).
fof(f1115,definition,
( sQ165_spl
<=> op(op(e1,e3),e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( ~ sQ165_spl
| op(op(e1,e3),e1) = e3 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( sQ165_spl
| op(op(e1,e3),e1) != e3 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( sQ165_spl
| sQ163_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f321,f1066,f1108,f1115]) ).
fof(f1119,definition,
( sQ166_spl
<=> op(op(e1,e3),e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ166_spl
| op(op(e1,e3),e3) = e1 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( sQ166_spl
| op(op(e1,e3),e3) != e1 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ sQ166_spl
| sQ163_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f322,f1066,f1108,f1119]) ).
fof(f1123,plain,
( ~ sQ163_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f323,f1066,f1108]) ).
fof(f1125,definition,
( sQ167_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( sQ111_spl
| sQ167_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f328,f1083,f1125,f885]) ).
fof(f1129,definition,
( sQ168_spl
<=> op(e0,op(e1,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ168_spl
| op(e0,op(e1,e3)) = e0 ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1131,plain,
( sQ168_spl
| op(e0,op(e1,e3)) != e0 ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ168_spl
| sQ167_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f329,f1083,f1125,f1129]) ).
fof(f1133,definition,
( sQ169_spl
<=> op(e1,op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ169_spl
| op(e1,op(e1,e3)) = e1 ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ169_spl
| op(e1,op(e1,e3)) != e1 ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ169_spl
| sQ167_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f330,f1083,f1125,f1133]) ).
fof(f1137,definition,
( sQ170_spl
<=> op(e2,op(e1,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ170_spl
| op(e2,op(e1,e3)) = e2 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ170_spl
| op(e2,op(e1,e3)) != e2 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,plain,
( ~ sQ170_spl
| sQ167_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f331,f1083,f1125,f1137]) ).
fof(f1141,definition,
( sQ171_spl
<=> op(e3,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ171_spl
| op(e3,op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( sQ171_spl
| op(e3,op(e1,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( ~ sQ171_spl
| sQ167_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f332,f1083,f1125,f1141]) ).
fof(f1145,plain,
( ~ sQ167_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f333,f1083,f1125]) ).
fof(f1146,plain,
( sQ171_spl
| sQ170_spl
| sQ169_spl
| sQ168_spl
| ~ sQ111_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f334,f1083,f885,f1129,f1133,f1137,f1141]) ).
fof(f1147,definition,
( sQ172_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1150,definition,
( sQ173_spl
<=> op(e1,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ173_spl
| op(e1,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1152,plain,
( sQ173_spl
| op(e1,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,plain,
( ~ sQ173_spl
| sQ172_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f338,f1108,f1147,f1150]) ).
fof(f1154,definition,
( sQ174_spl
<=> op(op(e1,e2),e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ174_spl
| op(op(e1,e2),e1) = e2 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1156,plain,
( sQ174_spl
| op(op(e1,e2),e1) != e2 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( sQ174_spl
| sQ172_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f339,f1108,f1147,f1154]) ).
fof(f1158,definition,
( sQ175_spl
<=> op(op(e1,e2),e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ175_spl
| op(op(e1,e2),e2) = e1 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
( sQ175_spl
| op(op(e1,e2),e2) != e1 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,plain,
( ~ sQ175_spl
| sQ172_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f340,f1108,f1147,f1158]) ).
fof(f1162,plain,
( ~ sQ172_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f341,f1108,f1147]) ).
fof(f1163,plain,
( sQ175_spl
| ~ sQ174_spl
| sQ173_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f342,f1108,f1150,f1154,f1158]) ).
fof(f1164,definition,
( sQ176_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( sQ148_spl
| sQ176_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f346,f1125,f1164,f1044]) ).
fof(f1168,definition,
( sQ177_spl
<=> op(e0,op(e1,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ177_spl
| op(e0,op(e1,e2)) = e0 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1170,plain,
( sQ177_spl
| op(e0,op(e1,e2)) != e0 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sQ177_spl
| sQ176_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f347,f1125,f1164,f1168]) ).
fof(f1172,definition,
( sQ178_spl
<=> op(e1,op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( ~ sQ178_spl
| op(e1,op(e1,e2)) = e1 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1174,plain,
( sQ178_spl
| op(e1,op(e1,e2)) != e1 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( ~ sQ178_spl
| sQ176_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f348,f1125,f1164,f1172]) ).
fof(f1176,definition,
( sQ179_spl
<=> op(e2,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( ~ sQ179_spl
| op(e2,op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1178,plain,
( sQ179_spl
| op(e2,op(e1,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sQ179_spl
| sQ176_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f349,f1125,f1164,f1176]) ).
fof(f1180,definition,
( sQ180_spl
<=> op(e3,op(e1,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ180_spl
| op(e3,op(e1,e2)) = e3 ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( sQ180_spl
| op(e3,op(e1,e2)) != e3 ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,plain,
( ~ sQ180_spl
| sQ176_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f350,f1125,f1164,f1180]) ).
fof(f1184,plain,
( ~ sQ176_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f351,f1125,f1164]) ).
fof(f1185,plain,
( sQ180_spl
| sQ179_spl
| sQ178_spl
| sQ177_spl
| ~ sQ148_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f352,f1125,f1044,f1168,f1172,f1176,f1180]) ).
fof(f1186,definition,
( sQ181_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1189,definition,
( sQ182_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
( ~ sQ182_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1191,plain,
( sQ182_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( ~ sQ182_spl
| sQ181_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f356,f1147,f1186,f1189]) ).
fof(f1193,definition,
( sQ183_spl
<=> op(op(e1,e1),e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ183_spl
| op(op(e1,e1),e1) = e1 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sQ183_spl
| op(op(e1,e1),e1) != e1 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( sQ183_spl
| sQ181_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f357,f1147,f1186,f1193]) ).
fof(f1197,plain,
( ~ sQ183_spl
| sQ181_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f358,f1147,f1186,f1193]) ).
fof(f1198,plain,
( ~ sQ181_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f359,f1147,f1186]) ).
fof(f1200,definition,
( sQ184_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1203,definition,
( sQ185_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ185_spl
| op(e1,e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1207,definition,
( sQ186_spl
<=> op(e0,op(e1,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ186_spl
| op(e0,op(e1,e1)) = e0 ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1209,plain,
( sQ186_spl
| op(e0,op(e1,e1)) != e0 ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1210,plain,
( ~ sQ186_spl
| sQ184_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f365,f1164,f1200,f1207]) ).
fof(f1211,plain,
( ~ sQ182_spl
| sQ184_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f366,f1164,f1200,f1189]) ).
fof(f1212,definition,
( sQ187_spl
<=> op(e2,op(e1,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ187_spl
| op(e2,op(e1,e1)) = e2 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( sQ187_spl
| op(e2,op(e1,e1)) != e2 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( ~ sQ187_spl
| sQ184_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f367,f1164,f1200,f1212]) ).
fof(f1216,definition,
( sQ188_spl
<=> op(e3,op(e1,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ188_spl
| op(e3,op(e1,e1)) = e3 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
( sQ188_spl
| op(e3,op(e1,e1)) != e3 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( ~ sQ188_spl
| sQ184_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f368,f1164,f1200,f1216]) ).
fof(f1220,plain,
( ~ sQ184_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f369,f1164,f1200]) ).
fof(f1221,plain,
( sQ188_spl
| sQ187_spl
| sQ182_spl
| sQ186_spl
| ~ sQ185_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f370,f1164,f1203,f1207,f1189,f1212,f1216]) ).
fof(f1222,definition,
( sQ189_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1225,definition,
( sQ190_spl
<=> op(e1,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ190_spl
| op(e1,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( sQ190_spl
| op(e1,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ sQ190_spl
| sQ189_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f374,f1186,f1222,f1225]) ).
fof(f1229,definition,
( sQ191_spl
<=> op(op(e1,e0),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( ~ sQ191_spl
| op(op(e1,e0),e1) = e0 ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( sQ191_spl
| op(op(e1,e0),e1) != e0 ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( sQ191_spl
| sQ189_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f375,f1186,f1222,f1229]) ).
fof(f1233,definition,
( sQ192_spl
<=> op(op(e1,e0),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ192_spl
| op(op(e1,e0),e0) = e1 ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1235,plain,
( sQ192_spl
| op(op(e1,e0),e0) != e1 ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1236,plain,
( ~ sQ192_spl
| sQ189_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f376,f1186,f1222,f1233]) ).
fof(f1237,plain,
( ~ sQ189_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f377,f1186,f1222]) ).
fof(f1238,plain,
( sQ192_spl
| ~ sQ191_spl
| sQ190_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f378,f1186,f1225,f1229,f1233]) ).
fof(f1239,definition,
( sQ193_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1242,definition,
( sQ194_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ194_spl
| op(e0,e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( sQ194_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( sQ194_spl
| sQ193_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f382,f1200,f1239,f1242]) ).
fof(f1246,definition,
( sQ195_spl
<=> op(e0,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ195_spl
| op(e0,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1248,plain,
( sQ195_spl
| op(e0,op(e1,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ sQ195_spl
| sQ193_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f383,f1200,f1239,f1246]) ).
fof(f1250,definition,
( sQ196_spl
<=> op(e1,op(e1,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( ~ sQ196_spl
| op(e1,op(e1,e0)) = e1 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( sQ196_spl
| op(e1,op(e1,e0)) != e1 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,plain,
( ~ sQ196_spl
| sQ193_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f384,f1200,f1239,f1250]) ).
fof(f1254,definition,
( sQ197_spl
<=> op(e2,op(e1,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ197_spl
| op(e2,op(e1,e0)) = e2 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( sQ197_spl
| op(e2,op(e1,e0)) != e2 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ sQ197_spl
| sQ193_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f385,f1200,f1239,f1254]) ).
fof(f1258,definition,
( sQ198_spl
<=> op(e3,op(e1,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ198_spl
| op(e3,op(e1,e0)) = e3 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1260,plain,
( sQ198_spl
| op(e3,op(e1,e0)) != e3 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( ~ sQ198_spl
| sQ193_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f386,f1200,f1239,f1258]) ).
fof(f1262,plain,
( ~ sQ193_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f387,f1200,f1239]) ).
fof(f1264,definition,
( sQ199_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1267,definition,
( sQ200_spl
<=> op(e0,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ200_spl
| op(e0,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( sQ200_spl
| op(e0,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( ~ sQ200_spl
| sQ199_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f392,f1222,f1264,f1267]) ).
fof(f1271,definition,
( sQ201_spl
<=> op(op(e0,e3),e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ201_spl
| op(op(e0,e3),e0) = e3 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ201_spl
| op(op(e0,e3),e0) != e3 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( sQ201_spl
| sQ199_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f393,f1222,f1264,f1271]) ).
fof(f1275,definition,
( sQ202_spl
<=> op(op(e0,e3),e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ202_spl
| op(op(e0,e3),e3) = e0 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ202_spl
| op(op(e0,e3),e3) != e0 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( ~ sQ202_spl
| sQ199_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f394,f1222,f1264,f1275]) ).
fof(f1279,plain,
( ~ sQ199_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f395,f1222,f1264]) ).
fof(f1280,plain,
( sQ202_spl
| ~ sQ201_spl
| sQ200_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f396,f1222,f1267,f1271,f1275]) ).
fof(f1281,definition,
( sQ203_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( sQ121_spl
| sQ203_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f400,f1239,f1281,f927]) ).
fof(f1285,definition,
( sQ204_spl
<=> op(e0,op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ204_spl
| op(e0,op(e0,e3)) = e0 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ204_spl
| op(e0,op(e0,e3)) != e0 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ204_spl
| sQ203_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f401,f1239,f1281,f1285]) ).
fof(f1289,definition,
( sQ205_spl
<=> op(e1,op(e0,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1290,plain,
( ~ sQ205_spl
| op(e1,op(e0,e3)) = e1 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1291,plain,
( sQ205_spl
| op(e1,op(e0,e3)) != e1 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,plain,
( ~ sQ205_spl
| sQ203_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f402,f1239,f1281,f1289]) ).
fof(f1293,definition,
( sQ206_spl
<=> op(e2,op(e0,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ206_spl
| op(e2,op(e0,e3)) = e2 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( sQ206_spl
| op(e2,op(e0,e3)) != e2 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( ~ sQ206_spl
| sQ203_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f403,f1239,f1281,f1293]) ).
fof(f1297,definition,
( sQ207_spl
<=> op(e3,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ207_spl
| op(e3,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1299,plain,
( sQ207_spl
| op(e3,op(e0,e3)) != e3 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,plain,
( ~ sQ207_spl
| sQ203_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f404,f1239,f1281,f1297]) ).
fof(f1301,plain,
( ~ sQ203_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f405,f1239,f1281]) ).
fof(f1302,plain,
( sQ207_spl
| sQ206_spl
| sQ205_spl
| sQ204_spl
| ~ sQ121_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f406,f1239,f927,f1285,f1289,f1293,f1297]) ).
fof(f1303,definition,
( sQ208_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1306,definition,
( sQ209_spl
<=> op(e0,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ209_spl
| op(e0,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( sQ209_spl
| op(e0,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,plain,
( ~ sQ209_spl
| sQ208_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f410,f1264,f1303,f1306]) ).
fof(f1310,definition,
( sQ210_spl
<=> op(op(e0,e2),e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ210_spl
| op(op(e0,e2),e0) = e2 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1312,plain,
( sQ210_spl
| op(op(e0,e2),e0) != e2 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,plain,
( sQ210_spl
| sQ208_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f411,f1264,f1303,f1310]) ).
fof(f1314,definition,
( sQ211_spl
<=> op(op(e0,e2),e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ211_spl
| op(op(e0,e2),e2) = e0 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1316,plain,
( sQ211_spl
| op(op(e0,e2),e2) != e0 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,plain,
( ~ sQ211_spl
| sQ208_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f412,f1264,f1303,f1314]) ).
fof(f1318,plain,
( ~ sQ208_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f413,f1264,f1303]) ).
fof(f1319,plain,
( sQ211_spl
| ~ sQ210_spl
| sQ209_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f414,f1264,f1306,f1310,f1314]) ).
fof(f1320,definition,
( sQ212_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( sQ158_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f418,f1281,f1320,f1086]) ).
fof(f1324,definition,
( sQ213_spl
<=> op(e0,op(e0,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ213_spl
| op(e0,op(e0,e2)) = e0 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( sQ213_spl
| op(e0,op(e0,e2)) != e0 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,plain,
( ~ sQ213_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f419,f1281,f1320,f1324]) ).
fof(f1328,definition,
( sQ214_spl
<=> op(e1,op(e0,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ214_spl
| op(e1,op(e0,e2)) = e1 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1330,plain,
( sQ214_spl
| op(e1,op(e0,e2)) != e1 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ214_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f420,f1281,f1320,f1328]) ).
fof(f1332,definition,
( sQ215_spl
<=> op(e2,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( ~ sQ215_spl
| op(e2,op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1334,plain,
( sQ215_spl
| op(e2,op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,plain,
( ~ sQ215_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f421,f1281,f1320,f1332]) ).
fof(f1336,definition,
( sQ216_spl
<=> op(e3,op(e0,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( ~ sQ216_spl
| op(e3,op(e0,e2)) = e3 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1338,plain,
( sQ216_spl
| op(e3,op(e0,e2)) != e3 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( ~ sQ216_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f422,f1281,f1320,f1336]) ).
fof(f1340,plain,
( ~ sQ212_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f423,f1281,f1320]) ).
fof(f1341,plain,
( sQ216_spl
| sQ215_spl
| sQ214_spl
| sQ213_spl
| ~ sQ158_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f424,f1281,f1086,f1324,f1328,f1332,f1336]) ).
fof(f1342,definition,
( sQ217_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1345,definition,
( sQ218_spl
<=> op(e0,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( ~ sQ218_spl
| op(e0,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1347,plain,
( sQ218_spl
| op(e0,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( ~ sQ218_spl
| sQ217_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f428,f1303,f1342,f1345]) ).
fof(f1349,definition,
( sQ219_spl
<=> op(op(e0,e1),e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1350,plain,
( ~ sQ219_spl
| op(op(e0,e1),e0) = e1 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1351,plain,
( sQ219_spl
| op(op(e0,e1),e0) != e1 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,plain,
( sQ219_spl
| sQ217_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f429,f1303,f1342,f1349]) ).
fof(f1353,definition,
( sQ220_spl
<=> op(op(e0,e1),e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( ~ sQ220_spl
| op(op(e0,e1),e1) = e0 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( sQ220_spl
| op(op(e0,e1),e1) != e0 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,plain,
( ~ sQ220_spl
| sQ217_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f430,f1303,f1342,f1353]) ).
fof(f1357,plain,
( ~ sQ217_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f431,f1303,f1342]) ).
fof(f1358,plain,
( sQ220_spl
| ~ sQ219_spl
| sQ218_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f432,f1303,f1345,f1349,f1353]) ).
fof(f1359,definition,
( sQ221_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( sQ194_spl
| sQ221_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f436,f1320,f1359,f1242]) ).
fof(f1363,definition,
( sQ222_spl
<=> op(e0,op(e0,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1364,plain,
( ~ sQ222_spl
| op(e0,op(e0,e1)) = e0 ),
inference(component_clause,[status(thm)],[f1363]) ).
fof(f1365,plain,
( sQ222_spl
| op(e0,op(e0,e1)) != e0 ),
inference(component_clause,[status(thm)],[f1363]) ).
fof(f1366,plain,
( ~ sQ222_spl
| sQ221_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f437,f1320,f1359,f1363]) ).
fof(f1367,definition,
( sQ223_spl
<=> op(e1,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( ~ sQ223_spl
| op(e1,op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f1367]) ).
fof(f1369,plain,
( sQ223_spl
| op(e1,op(e0,e1)) != e1 ),
inference(component_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( ~ sQ223_spl
| sQ221_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f438,f1320,f1359,f1367]) ).
fof(f1371,definition,
( sQ224_spl
<=> op(e2,op(e0,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( ~ sQ224_spl
| op(e2,op(e0,e1)) = e2 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
( sQ224_spl
| op(e2,op(e0,e1)) != e2 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1374,plain,
( ~ sQ224_spl
| sQ221_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f439,f1320,f1359,f1371]) ).
fof(f1375,definition,
( sQ225_spl
<=> op(e3,op(e0,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( ~ sQ225_spl
| op(e3,op(e0,e1)) = e3 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1377,plain,
( sQ225_spl
| op(e3,op(e0,e1)) != e3 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1378,plain,
( ~ sQ225_spl
| sQ221_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f440,f1320,f1359,f1375]) ).
fof(f1379,plain,
( ~ sQ221_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f441,f1320,f1359]) ).
fof(f1380,plain,
( sQ225_spl
| sQ224_spl
| sQ223_spl
| sQ222_spl
| ~ sQ194_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f442,f1320,f1242,f1363,f1367,f1371,f1375]) ).
fof(f1381,definition,
( sQ226_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ226_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1383,plain,
( sQ226_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,plain,
( ~ sQ226_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f444,f1342,f1381]) ).
fof(f1385,definition,
( sQ227_spl
<=> op(op(e0,e0),e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ227_spl
| op(op(e0,e0),e0) = e0 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1387,plain,
( sQ227_spl
| op(op(e0,e0),e0) != e0 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1388,plain,
( sQ227_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f445,f1342,f1385]) ).
fof(f1389,plain,
( ~ sQ227_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f446,f1342,f1385]) ).
fof(f1391,definition,
( sQ228_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( sQ228_spl
| op(e0,e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1395,plain,
( ~ sQ226_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f450,f1359,f1381]) ).
fof(f1396,definition,
( sQ229_spl
<=> op(e1,op(e0,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
( ~ sQ229_spl
| op(e1,op(e0,e0)) = e1 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1398,plain,
( sQ229_spl
| op(e1,op(e0,e0)) != e1 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( ~ sQ229_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f451,f1359,f1396]) ).
fof(f1400,definition,
( sQ230_spl
<=> op(e2,op(e0,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( ~ sQ230_spl
| op(e2,op(e0,e0)) = e2 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
( sQ230_spl
| op(e2,op(e0,e0)) != e2 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,plain,
( ~ sQ230_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f452,f1359,f1400]) ).
fof(f1404,definition,
( sQ231_spl
<=> op(e3,op(e0,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ231_spl
| op(e3,op(e0,e0)) = e3 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1406,plain,
( sQ231_spl
| op(e3,op(e0,e0)) != e3 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( ~ sQ231_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f453,f1359,f1404]) ).
fof(f1408,plain,
( sQ231_spl
| sQ230_spl
| sQ229_spl
| sQ226_spl
| ~ sQ228_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f454,f1359,f1391,f1381,f1396,f1400,f1404]) ).
fof(f1409,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f634,f89]) ).
fof(f1410,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f634,f88]) ).
fof(f1411,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f634,f86]) ).
fof(f1412,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f621,f83]) ).
fof(f1413,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f621,f82]) ).
fof(f1414,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f621,f80]) ).
fof(f1415,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f608,f605]) ).
fof(f1416,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1415,f131]) ).
fof(f1417,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1416]) ).
fof(f1418,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f92]) ).
fof(f1419,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f94]) ).
fof(f1420,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f95]) ).
fof(f1421,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f504,f96]) ).
fof(f1422,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f556,f1421]) ).
fof(f1423,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1422]) ).
fof(f1424,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1423]) ).
fof(f1425,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f660,f98]) ).
fof(f1426,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f660,f100]) ).
fof(f1427,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f660,f101]) ).
fof(f1432,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f647,f644]) ).
fof(f1433,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1432,f131]) ).
fof(f1434,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f634,f631]) ).
fof(f1436,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f131]) ).
fof(f1437,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1438,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f621,f618]) ).
fof(f1439,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1438,f131]) ).
fof(f1440,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1439]) ).
fof(f1441,plain,
( sQ69_spl
| ~ sQ63_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f660,f716]) ).
fof(f1443,plain,
( sQ70_spl
| ~ sQ63_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f660,f720]) ).
fof(f1445,plain,
( sQ71_spl
| ~ sQ63_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f660,f724]) ).
fof(f1447,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f553,f550]) ).
fof(f1448,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1447,f129]) ).
fof(f1449,plain,
( ~ sQ29_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f602,f99]) ).
fof(f1451,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f501,f498]) ).
fof(f1452,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f129]) ).
fof(f1453,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f602,f97]) ).
fof(f1455,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f602,f605]) ).
fof(f1456,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1455,f129]) ).
fof(f1457,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1458,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f495,f104]) ).
fof(f1459,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f641,f638]) ).
fof(f1460,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f126]) ).
fof(f1461,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f495,f106]) ).
fof(f1463,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f628,f625]) ).
fof(f1464,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1463,f126]) ).
fof(f1465,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1464]) ).
fof(f1466,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f615,f612]) ).
fof(f1467,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1466,f126]) ).
fof(f1468,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1467]) ).
fof(f1469,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f543,f93]) ).
fof(f1470,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f543,f90]) ).
fof(f1471,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f495,f107]) ).
fof(f1473,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f491,f105]) ).
fof(f1475,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f491,f91]) ).
fof(f1476,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f582,f87]) ).
fof(f1477,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f582,f85]) ).
fof(f1478,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f569,f81]) ).
fof(f1479,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f569,f79]) ).
fof(f1480,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f543,f540]) ).
fof(f1481,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f131]) ).
fof(f1482,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f1483,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f592,f93]) ).
fof(f1485,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f491,f488]) ).
fof(f1486,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f131]) ).
fof(f1487,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1490,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f582,f579]) ).
fof(f1491,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1490,f131]) ).
fof(f1492,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1491]) ).
fof(f1493,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f569,f566]) ).
fof(f1494,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1493,f131]) ).
fof(f1495,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1496,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f599,f608]) ).
fof(f1497,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f128]) ).
fof(f1498,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f547,f553]) ).
fof(f1500,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f127]) ).
fof(f1501,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f592,f595]) ).
fof(f1504,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1503,f131]) ).
fof(f1505,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1504]) ).
fof(f1506,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f495,f498]) ).
fof(f1507,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1506,f126]) ).
fof(f1508,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1509,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f660,f654]) ).
fof(f1510,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1509,f130]) ).
fof(f1511,plain,
( ~ sQ61_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1512,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f537,f109]) ).
fof(f1513,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f537,f111]) ).
fof(f1514,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f537,f534]) ).
fof(f1515,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1514,f126]) ).
fof(f1516,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1517,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f485,f482]) ).
fof(f1518,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f126]) ).
fof(f1519,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f576,f573]) ).
fof(f1521,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f126]) ).
fof(f1522,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f563,f560]) ).
fof(f1524,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f126]) ).
fof(f1525,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1526,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1450,f549,f601]) ).
fof(f1527,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f478,f102]) ).
fof(f1528,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f478,f84]) ).
fof(f1529,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f517,f110]) ).
fof(f1531,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f517,f78]) ).
fof(f1532,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f478,f475]) ).
fof(f1533,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f131]) ).
fof(f1534,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f517,f514]) ).
fof(f1536,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f131]) ).
fof(f1537,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f524,f112]) ).
fof(f1539,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f472,f469]) ).
fof(f1540,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1539,f126]) ).
fof(f1541,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f511,f508]) ).
fof(f1543,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f126]) ).
fof(f1544,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1546,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f566,f116]) ).
fof(f1547,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f566,f115]) ).
fof(f1548,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f566,f114]) ).
fof(f1549,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1546,f604,f565]) ).
fof(f1554,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f589,f117]) ).
fof(f1555,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f589,f119]) ).
fof(f1558,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f118]) ).
fof(f1565,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f547,f113]) ).
fof(f1566,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f638,f123]) ).
fof(f1568,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f638,f121]) ).
fof(f1571,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f504,f498]) ).
fof(f1572,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1571,f130]) ).
fof(f1573,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1572]) ).
fof(f1580,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f592]) ).
fof(f1581,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1580,f129]) ).
fof(f1582,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1581]) ).
fof(f1585,plain,
( sQ69_spl
| ~ sQ63_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1441,f494,f659,f714]) ).
fof(f1586,plain,
( sQ70_spl
| ~ sQ63_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1443,f549,f659,f718]) ).
fof(f1588,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1427,f607,f659]) ).
fof(f1591,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f456,f1458]) ).
fof(f1592,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1591]) ).
fof(f1593,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1592]) ).
fof(f1594,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f638,f644]) ).
fof(f1595,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1594,f127]) ).
fof(f1596,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1595]) ).
fof(f1597,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f550]) ).
fof(f1598,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f126]) ).
fof(f1599,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1600,plain,
( sQ182_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f524,f1191]) ).
fof(f1601,plain,
( sQ182_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f524,f1600]) ).
fof(f1602,plain,
( sQ182_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1601]) ).
fof(f1603,plain,
( sQ182_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1420,f594,f646]) ).
fof(f1605,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1419,f542,f646]) ).
fof(f1606,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f566]) ).
fof(f1607,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1606,f127]) ).
fof(f1608,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1568,f611,f637]) ).
fof(f1610,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f657,f124]) ).
fof(f1611,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f657,f122]) ).
fof(f1612,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1610,f630,f656]) ).
fof(f1613,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1411,f477,f633]) ).
fof(f1614,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1426,f555,f659]) ).
fof(f1615,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1412,f568,f620]) ).
fof(f1616,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1470,f490,f542]) ).
fof(f1617,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1462,f468,f494]) ).
fof(f1618,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1555,f601,f588]) ).
fof(f1619,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1513,f523,f536]) ).
fof(f1621,plain,
( sQ91_spl
| ~ sQ60_spl
| e2 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f651,f804]) ).
fof(f1622,plain,
( sQ93_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f651,f812]) ).
fof(f1623,plain,
( sQ92_spl
| ~ sQ60_spl
| e1 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f651,f808]) ).
fof(f1624,plain,
( sQ95_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f651,f820]) ).
fof(f1626,plain,
( sQ65_spl
| ~ sQ60_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f651,f700]) ).
fof(f1627,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f651,f125]) ).
fof(f1629,plain,
( sQ65_spl
| ~ sQ60_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1626,f620,f650,f698]) ).
fof(f1631,plain,
( sQ89_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f586,f796]) ).
fof(f1634,plain,
( sQ87_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f586,f788]) ).
fof(f1638,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f625,f120]) ).
fof(f1639,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1638,f611,f624]) ).
fof(f1641,plain,
( sQ82_spl
| ~ sQ22_spl
| e0 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f768]) ).
fof(f1643,plain,
( sQ83_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f772]) ).
fof(f1656,plain,
( sQ78_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f753]) ).
fof(f1658,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f641,f644]) ).
fof(f1659,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1658,f129]) ).
fof(f1660,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1662,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1425,f503,f659]) ).
fof(f1663,plain,
( ~ sQ24_spl
| sQ78_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f1656]) ).
fof(f1664,plain,
( ~ sQ24_spl
| sQ78_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1665,plain,
( sQ95_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1624,f617,f650,f818]) ).
fof(f1666,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f514,f511]) ).
fof(f1667,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f129]) ).
fof(f1668,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1409,f581,f633]) ).
fof(f1671,plain,
( ~ sQ78_spl
| ~ sQ22_spl
| e0 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f752]) ).
fof(f1673,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1529,f555,f516]) ).
fof(f1679,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1483,f539,f591]) ).
fof(f1680,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f586,f592]) ).
fof(f1681,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f127]) ).
fof(f1682,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1683,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1548,f578,f565]) ).
fof(f1687,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f586,f595]) ).
fof(f1688,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f128]) ).
fof(f1689,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
( ~ sQ81_spl
| ~ sQ22_spl
| e2 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f763]) ).
fof(f1691,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f456]) ).
fof(f1692,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1691,f127]) ).
fof(f1693,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1696,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f530,f521]) ).
fof(f1697,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1696,f128]) ).
fof(f1698,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1699,plain,
( sQ71_spl
| ~ sQ63_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1445,f604,f659,f722]) ).
fof(f1701,plain,
( ~ sQ78_spl
| ~ sQ22_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1671,f533,f526,f751]) ).
fof(f1702,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f462,f459]) ).
fof(f1703,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f129]) ).
fof(f1704,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( sQ93_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1622,f614,f650,f810]) ).
fof(f1706,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1538,f549,f523]) ).
fof(f1707,plain,
( sQ83_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1643,f542,f526,f770]) ).
fof(f1708,plain,
( sQ89_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1631,f568,f585,f794]) ).
fof(f1710,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1611,f617,f656]) ).
fof(f1711,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1566,f624,f637]) ).
fof(f1712,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1477,f477,f581]) ).
fof(f1713,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1473,f477,f490]) ).
fof(f1714,plain,
( sQ226_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f465,f1383]) ).
fof(f1715,plain,
( sQ75_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f465,f740]) ).
fof(f1717,plain,
( sQ75_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1715,f500,f464,f738]) ).
fof(f1718,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1471,f481,f494]) ).
fof(f1721,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f465,f456]) ).
fof(f1722,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1721,f128]) ).
fof(f1723,plain,
( ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1724,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1475,f594,f490]) ).
fof(f1725,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1478,f516,f568]) ).
fof(f1727,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f628,f86]) ).
fof(f1728,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f628,f88]) ).
fof(f1729,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f628,f89]) ).
fof(f1734,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f644,f92]) ).
fof(f1735,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f644,f94]) ).
fof(f1736,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f644,f95]) ).
fof(f1737,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1735,f539,f643]) ).
fof(f1738,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1736,f591,f643]) ).
fof(f1739,plain,
( sQ226_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1714,f494,f464,f1381]) ).
fof(f1740,plain,
( sQ87_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1634,f562,f585,f786]) ).
fof(f1747,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f566,f81]) ).
fof(f1750,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1747,f513,f565]) ).
fof(f1751,plain,
( ~ sQ3_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f1414]) ).
fof(f1752,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f621,f612]) ).
fof(f1754,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f128]) ).
fof(f1755,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1754]) ).
fof(f1756,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f99]) ).
fof(f1757,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f599,f97]) ).
fof(f1765,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f550,f100]) ).
fof(f1767,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f550,f96]) ).
fof(f1768,plain,
( ~ sQ22_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f111]) ).
fof(f1770,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f485,f91]) ).
fof(f1771,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f485,f103]) ).
fof(f1772,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f485,f105]) ).
fof(f1773,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f485,f90]) ).
fof(f1776,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f508,f109]) ).
fof(f1777,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f501,f98]) ).
fof(f1778,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f501,f104]) ).
fof(f1779,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f501,f106]) ).
fof(f1784,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f527,f84]) ).
fof(f1787,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f508,f110]) ).
fof(f1794,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f576,f85]) ).
fof(f1795,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f508,f108]) ).
fof(f1798,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f508,f78]) ).
fof(f1799,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f599,f116]) ).
fof(f1814,plain,
( ~ sQ219_spl
| ~ sQ7_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f478,f1350]) ).
fof(f1816,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f576,f118]) ).
fof(f1821,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f592,f119]) ).
fof(f1827,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f478,f469]) ).
fof(f1828,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1827,f128]) ).
fof(f1829,plain,
( ~ sQ4_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1831,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1727,f471,f627]) ).
fof(f1833,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f485,f491]) ).
fof(f1834,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f130]) ).
fof(f1835,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1784,f474,f526]) ).
fof(f1837,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1756,f546,f598]) ).
fof(f1838,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1787,f546,f507]) ).
fof(f1839,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1531,f464,f516]) ).
fof(f1840,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1627,f637,f650]) ).
fof(f1841,plain,
( ~ sQ219_spl
| ~ sQ7_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1814,f614,f477,f1349]) ).
fof(f1842,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1528,f529,f477]) ).
fof(f1843,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1454,f497,f601]) ).
fof(f1844,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1765,f653,f549]) ).
fof(f1845,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1757,f494,f598]) ).
fof(f1846,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1558,f572,f598]) ).
fof(f1847,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1777,f656,f500]) ).
fof(f1848,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1778,f461,f500]) ).
fof(f1849,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1410,f529,f633]) ).
fof(f1850,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1469,f594,f542]) ).
fof(f1851,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1771,f458,f484]) ).
fof(f1852,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1773,f536,f484]) ).
fof(f1853,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1795,f520,f507]) ).
fof(f1854,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f660,f125]) ).
fof(f1855,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f660,f122]) ).
fof(f1856,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f660,f124]) ).
fof(f1859,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f537,f94]) ).
fof(f1862,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1859,f640,f536]) ).
fof(f1865,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f631,f89]) ).
fof(f1866,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f631,f88]) ).
fof(f1867,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f631,f86]) ).
fof(f1868,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f631,f120]) ).
fof(f1869,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f631,f123]) ).
fof(f1870,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1866,f526,f630]) ).
fof(f1871,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1856,f633,f659]) ).
fof(f1872,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1479,f464,f568]) ).
fof(f1874,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1772,f471,f484]) ).
fof(f1875,plain,
( ~ sQ180_spl
| ~ sQ27_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f543,f1181]) ).
fof(f1876,plain,
( ~ sQ179_spl
| ~ sQ27_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f543,f1177]) ).
fof(f1877,plain,
( ~ sQ178_spl
| ~ sQ27_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f543,f1173]) ).
fof(f1878,plain,
( ~ sQ178_spl
| ~ sQ27_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1877,f551]) ).
fof(f1879,plain,
( ~ sQ178_spl
| ~ sQ27_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1869,f643,f630]) ).
fof(f1881,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1734,f487,f643]) ).
fof(f1882,plain,
( sQ178_spl
| ~ sQ27_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f543,f1174]) ).
fof(f1883,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1554,f575,f588]) ).
fof(f1884,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1855,f620,f659]) ).
fof(f1885,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1512,f510,f536]) ).
fof(f1886,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1779,f474,f500]) ).
fof(f1887,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1476,f529,f581]) ).
fof(f1888,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1854,f646,f659]) ).
fof(f1889,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1418,f490,f646]) ).
fof(f1890,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1527,f464,f477]) ).
fof(f1892,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1776,f533,f507]) ).
fof(f1894,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f586,f95]) ).
fof(f1895,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f586,f117]) ).
fof(f1897,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f586,f119]) ).
fof(f1902,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f586,f91]) ).
fof(f1912,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f485,f92]) ).
fof(f1918,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f550,f110]) ).
fof(f1926,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f586,f115]) ).
fof(f1933,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f608,f97]) ).
fof(f1939,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f651,f98]) ).
fof(f1941,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f644,f121]) ).
fof(f1954,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f621,f615]) ).
fof(f1955,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1954,f130]) ).
fof(f1956,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1959,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f651,f660]) ).
fof(f1960,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1959,f128]) ).
fof(f1961,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1963,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f651,f819]) ).
fof(f1964,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f651,f101]) ).
fof(f1967,plain,
( sQ82_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f543,f1641]) ).
fof(f1971,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f628,f634]) ).
fof(f1972,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f130]) ).
fof(f1973,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1976,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1413,f516,f620]) ).
fof(f1979,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f651,f654]) ).
fof(f1980,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f126]) ).
fof(f1981,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1980]) ).
fof(f1982,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1897,f598,f585]) ).
fof(f1990,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f508,f81]) ).
fof(f1994,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f527,f87]) ).
fof(f2002,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f459,f79]) ).
fof(f2006,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f537,f113]) ).
fof(f2008,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2006,f549,f536]) ).
fof(f2009,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1865,f578,f630]) ).
fof(f2010,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1868,f617,f630]) ).
fof(f2011,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1867,f474,f630]) ).
fof(f2012,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1728,f523,f627]) ).
fof(f2013,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1547,f591,f565]) ).
fof(f2014,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2002,f562,f458]) ).
fof(f2015,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1926,f559,f585]) ).
fof(f2016,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1894,f637,f585]) ).
fof(f2017,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1794,f471,f575]) ).
fof(f2027,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f608,f99]) ).
fof(f2028,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f608,f119]) ).
fof(f2043,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f615,f80]) ).
fof(f2044,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f615,f82]) ).
fof(f2045,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f615,f83]) ).
fof(f2047,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f576,f117]) ).
fof(f2050,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f576,f114]) ).
fof(f2053,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f537,f93]) ).
fof(f2056,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f521,f112]) ).
fof(f2059,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2056,f546,f520]) ).
fof(f2061,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2028,f594,f607]) ).
fof(f2064,plain,
( ~ sQ101_spl
| ~ sQ47_spl
| e3 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f608,f844]) ).
fof(f2065,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f634,f886]) ).
fof(f2066,plain,
( ~ sQ134_spl
| ~ sQ47_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f608,f983]) ).
fof(f2067,plain,
( ~ sQ133_spl
| ~ sQ47_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f608,f979]) ).
fof(f2068,plain,
( ~ sQ133_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f608,f2067]) ).
fof(f2069,plain,
( ~ sQ133_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2068,f131]) ).
fof(f2070,plain,
( ~ sQ133_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2069]) ).
fof(f2071,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1941,f617,f643]) ).
fof(f2072,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1816,f601,f575]) ).
fof(f2073,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2044,f510,f614]) ).
fof(f2074,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1729,f575,f627]) ).
fof(f2075,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1770,f588,f484]) ).
fof(f2076,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1895,f572,f585]) ).
fof(f2077,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1939,f494,f650]) ).
fof(f2078,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1565,f533,f546]) ).
fof(f2087,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f644,f125]) ).
fof(f2090,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f566,f79]) ).
fof(f2095,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f495,f96]) ).
fof(f2101,plain,
( sQ88_spl
| ~ sQ40_spl
| e0 != op(e2,op(e2,e0)) ),
inference(backward_demodulation,[status(thm)],[f586,f792]) ).
fof(f2105,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ34_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f566,f2101]) ).
fof(f2106,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ34_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f586,f2105]) ).
fof(f2107,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2106]) ).
fof(f2108,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2109,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| e0 = op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f586,f791]) ).
fof(f2126,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f530,f108]) ).
fof(f2140,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f566,f83]) ).
fof(f2146,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f654,f101]) ).
fof(f2147,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f459,f78]) ).
fof(f2173,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f553,f110]) ).
fof(f2211,plain,
( sQ226_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f459,f1383]) ).
fof(f2214,plain,
( sQ229_spl
| ~ sQ1_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f459,f1398]) ).
fof(f2216,plain,
( sQ230_spl
| ~ sQ1_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f459,f1402]) ).
fof(f2218,plain,
( sQ231_spl
| ~ sQ1_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f459,f1406]) ).
fof(f2220,plain,
( sQ77_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f459,f748]) ).
fof(f2231,plain,
( sQ78_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f530,f753]) ).
fof(f2233,plain,
( ~ sQ219_spl
| ~ sQ6_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f475,f1350]) ).
fof(f2234,plain,
( ~ sQ219_spl
| ~ sQ6_spl
| ~ sQ34_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f566,f2233]) ).
fof(f2235,plain,
( ~ sQ219_spl
| ~ sQ6_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f129]) ).
fof(f2236,plain,
( ~ sQ219_spl
| ~ sQ6_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2235]) ).
fof(f2239,plain,
( sQ76_spl
| ~ sQ1_spl
| e1 != op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f459,f744]) ).
fof(f2245,plain,
( sQ74_spl
| ~ sQ1_spl
| e2 != op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f459,f736]) ).
fof(f2246,plain,
( sQ74_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f475,f2245]) ).
fof(f2248,plain,
( sQ219_spl
| ~ sQ6_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f475,f1351]) ).
fof(f2251,plain,
( sQ136_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f586,f993]) ).
fof(f2252,plain,
( sQ136_spl
| ~ sQ40_spl
| ~ sQ34_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f566,f2251]) ).
fof(f2253,plain,
( sQ136_spl
| ~ sQ40_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2252]) ).
fof(f2254,plain,
( sQ136_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2255,plain,
( sQ65_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f654,f700]) ).
fof(f2257,plain,
( sQ81_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f530,f764]) ).
fof(f2258,plain,
( sQ81_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f2257]) ).
fof(f2259,plain,
( sQ81_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2258]) ).
fof(f2260,plain,
( sQ81_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2259]) ).
fof(f2261,plain,
( sQ75_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f459,f740]) ).
fof(f2263,plain,
( sQ95_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f654,f820]) ).
fof(f2266,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f654,f703]) ).
fof(f2267,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f2266]) ).
fof(f2268,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2267,f131]) ).
fof(f2269,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
( ~ sQ227_spl
| ~ sQ1_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f459,f1386]) ).
fof(f2271,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f495,f504]) ).
fof(f2272,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f128]) ).
fof(f2273,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( ~ sQ171_spl
| ~ sQ30_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f1142]) ).
fof(f2275,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f553,f1138]) ).
fof(f2276,plain,
( ~ sQ169_spl
| ~ sQ30_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1134]) ).
fof(f2277,plain,
( ~ sQ168_spl
| ~ sQ30_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f553,f1130]) ).
fof(f2278,plain,
( ~ sQ111_spl
| ~ sQ30_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f553,f886]) ).
fof(f2279,plain,
( ~ sQ166_spl
| ~ sQ30_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1120]) ).
fof(f2280,plain,
( ~ sQ165_spl
| ~ sQ30_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f1116]) ).
fof(f2281,plain,
( ~ sQ164_spl
| ~ sQ30_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f1112]) ).
fof(f2283,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f2065]) ).
fof(f2284,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f131]) ).
fof(f2285,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2284]) ).
fof(f2286,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f113]) ).
fof(f2287,plain,
( ~ sQ134_spl
| ~ sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2066,f659,f607,f982]) ).
fof(f2289,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f96]) ).
fof(f2290,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2140,f617,f565]) ).
fof(f2291,plain,
( ~ sQ81_spl
| ~ sQ22_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1690,f539,f526,f762]) ).
fof(f2293,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2053,f588,f536]) ).
fof(f2294,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2027,f555,f607]) ).
fof(f2295,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f556]) ).
fof(f2296,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f131]) ).
fof(f2297,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1799,f559,f598]) ).
fof(f2299,plain,
( sQ74_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2246,f487,f474,f458,f734]) ).
fof(f2300,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2095,f546,f494]) ).
fof(f2301,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2231,f546,f529,f751]) ).
fof(f2302,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f2239,f1345,f458,f742]) ).
fof(f2303,plain,
( sQ75_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2261,f474,f458,f738]) ).
fof(f2304,plain,
( ~ sQ227_spl
| ~ sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f2270,f507,f458,f1385]) ).
fof(f2305,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1964,f598,f650]) ).
fof(f2306,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1918,f510,f549]) ).
fof(f2308,plain,
( sQ226_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2211,f468,f458,f1381]) ).
fof(f2309,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2043,f458,f614]) ).
fof(f2310,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1902,f481,f585]) ).
fof(f2312,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2090,f461,f565]) ).
fof(f2313,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2087,f656,f643]) ).
fof(f2315,plain,
( ~ sQ101_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2064,f646,f607,f843]) ).
fof(f2316,plain,
( sQ65_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2255,f633,f653,f698]) ).
fof(f2317,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2050,f562,f575]) ).
fof(f2321,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f482,f92]) ).
fof(f2324,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2321,f637,f481]) ).
fof(f2326,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2220,f477,f458,f746]) ).
fof(f2327,plain,
( sQ80_spl
| ~ sQ22_spl
| e2 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f760]) ).
fof(f2329,plain,
( sQ230_spl
| ~ sQ1_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2216,f578,f458,f1400]) ).
fof(f2335,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f482,f488]) ).
fof(f2336,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2335,f127]) ).
fof(f2337,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2336]) ).
fof(f2339,plain,
( sQ82_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1967,f546,f542,f526,f766]) ).
fof(f2341,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| e3 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f771]) ).
fof(f2343,plain,
( ~ sQ219_spl
| ~ sQ6_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2233,f562,f474,f1349]) ).
fof(f2344,plain,
( ~ sQ171_spl
| ~ sQ30_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2274,f646,f552,f1141]) ).
fof(f2345,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2275,f591,f552,f1137]) ).
fof(f2346,plain,
( ~ sQ169_spl
| ~ sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2276,f536,f552,f1133]) ).
fof(f2347,plain,
( ~ sQ166_spl
| ~ sQ30_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2279,f601,f552,f1119]) ).
fof(f2348,plain,
( ~ sQ165_spl
| ~ sQ30_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2280,f581,f552,f1115]) ).
fof(f2349,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2173,f513,f552]) ).
fof(f2350,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1990,f559,f507]) ).
fof(f2351,plain,
( ~ sQ180_spl
| ~ sQ27_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1875,f659,f542,f1180]) ).
fof(f2352,plain,
( ~ sQ179_spl
| ~ sQ27_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1876,f604,f542,f1176]) ).
fof(f2353,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1994,f578,f526]) ).
fof(f2354,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1767,f497,f549]) ).
fof(f2356,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2126,f516,f529]) ).
fof(f2357,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1933,f503,f607]) ).
fof(f2359,plain,
( sQ95_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2263,f630,f653,f818]) ).
fof(f2393,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f589,f115]) ).
fof(f2400,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f462,f78]) ).
fof(f2406,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f462,f80]) ).
fof(f2407,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2400,f513,f461]) ).
fof(f2408,plain,
( sQ86_spl
| ~ sQ41_spl
| e1 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f784]) ).
fof(f2409,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f589,f95]) ).
fof(f2412,plain,
( sQ180_spl
| ~ sQ27_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f543,f1182]) ).
fof(f2414,plain,
( sQ179_spl
| ~ sQ27_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f543,f1178]) ).
fof(f2415,plain,
( sQ165_spl
| ~ sQ28_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f547,f1117]) ).
fof(f2416,plain,
( sQ166_spl
| ~ sQ28_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f547,f1121]) ).
fof(f2417,plain,
( sQ169_spl
| ~ sQ28_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f547,f1135]) ).
fof(f2419,plain,
( sQ171_spl
| ~ sQ28_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f547,f1143]) ).
fof(f2420,plain,
( sQ111_spl
| ~ sQ28_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f547,f887]) ).
fof(f2423,plain,
( sQ148_spl
| ~ sQ27_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f1046]) ).
fof(f2424,plain,
( ~ sQ136_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f992]) ).
fof(f2425,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f543,f1169]) ).
fof(f2426,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2425,f496]) ).
fof(f2427,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2428,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1768,f539,f526]) ).
fof(f2431,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1963,f617,f650,f818]) ).
fof(f2435,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f560,f83]) ).
fof(f2436,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f560,f114]) ).
fof(f2459,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f651,f100]) ).
fof(f2460,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f651,f122]) ).
fof(f2480,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f521,f87]) ).
fof(f2492,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f514,f82]) ).
fof(f2495,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f579,f85]) ).
fof(f2497,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f579,f118]) ).
fof(f2498,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f482,f105]) ).
fof(f2509,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f501,f97]) ).
fof(f2523,plain,
( sQ218_spl
| ~ sQ5_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f472,f1347]) ).
fof(f2524,plain,
( sQ218_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2523,f471,f1345]) ).
fof(f2525,plain,
( sQ73_spl
| ~ sQ3_spl
| e3 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f465,f732]) ).
fof(f2526,plain,
( ~ sQ168_spl
| ~ sQ30_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2277,f481,f552,f1129]) ).
fof(f2536,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f521,f88]) ).
fof(f2542,plain,
( ~ sQ226_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f465,f1382]) ).
fof(f2543,plain,
( ~ sQ101_spl
| ~ sQ45_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f602,f844]) ).
fof(f2544,plain,
( ~ sQ230_spl
| ~ sQ3_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f465,f1401]) ).
fof(f2545,plain,
( ~ sQ230_spl
| ~ sQ3_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f602,f2544]) ).
fof(f2546,plain,
( ~ sQ230_spl
| ~ sQ3_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f129]) ).
fof(f2547,plain,
( ~ sQ230_spl
| ~ sQ3_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2546]) ).
fof(f2548,plain,
( sQ227_spl
| ~ sQ3_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f465,f1387]) ).
fof(f2551,plain,
( sQ83_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f521,f772]) ).
fof(f2552,plain,
( sQ81_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f521,f764]) ).
fof(f2553,plain,
( sQ133_spl
| ~ sQ45_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f602,f980]) ).
fof(f2554,plain,
( sQ134_spl
| ~ sQ45_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f602,f984]) ).
fof(f2555,plain,
( sQ82_spl
| ~ sQ20_spl
| e0 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f521,f768]) ).
fof(f2556,plain,
( sQ74_spl
| ~ sQ3_spl
| e2 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f465,f736]) ).
fof(f2557,plain,
( ~ sQ131_spl
| ~ sQ45_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f602,f971]) ).
fof(f2558,plain,
( ~ sQ229_spl
| ~ sQ3_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f465,f1397]) ).
fof(f2559,plain,
( ~ sQ231_spl
| ~ sQ3_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f465,f1405]) ).
fof(f2560,plain,
( ~ sQ182_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f521,f1190]) ).
fof(f2561,plain,
( ~ sQ158_spl
| ~ sQ32_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f560,f1087]) ).
fof(f2562,plain,
( ~ sQ188_spl
| ~ sQ20_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f521,f1217]) ).
fof(f2563,plain,
( ~ sQ187_spl
| ~ sQ20_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f521,f1213]) ).
fof(f2564,plain,
( ~ sQ187_spl
| ~ sQ20_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f2563]) ).
fof(f2565,plain,
( ~ sQ187_spl
| ~ sQ20_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f127]) ).
fof(f2566,plain,
( ~ sQ187_spl
| ~ sQ20_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2567,plain,
( ~ sQ186_spl
| ~ sQ20_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f521,f1208]) ).
fof(f2568,plain,
( ~ sQ186_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f465,f2567]) ).
fof(f2569,plain,
( ~ sQ186_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2568,f128]) ).
fof(f2570,plain,
( ~ sQ186_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2569]) ).
fof(f2571,plain,
( ~ sQ183_spl
| ~ sQ20_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f521,f1194]) ).
fof(f2572,plain,
( ~ sQ162_spl
| ~ sQ32_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f560,f1103]) ).
fof(f2573,plain,
( ~ sQ161_spl
| ~ sQ32_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f1099]) ).
fof(f2574,plain,
( ~ sQ161_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f2573]) ).
fof(f2575,plain,
( ~ sQ161_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2574,f127]) ).
fof(f2576,plain,
( ~ sQ161_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2578,plain,
( sQ186_spl
| ~ sQ20_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f521,f1209]) ).
fof(f2579,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f521,f111]) ).
fof(f2581,plain,
( ~ sQ164_spl
| ~ sQ30_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f2281,f93]) ).
fof(f2585,plain,
( ~ sQ164_spl
| ~ sQ30_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f2281,f109]) ).
fof(f2586,plain,
( ~ sQ164_spl
| ~ sQ30_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2581,f594,f552,f1111]) ).
fof(f2587,plain,
( ~ sQ164_spl
| ~ sQ30_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2585,f516,f552,f1111]) ).
fof(f2588,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2579,f533,f520]) ).
fof(f2589,plain,
( sQ164_spl
| ~ sQ30_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f553,f1113]) ).
fof(f2595,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f654,f125]) ).
fof(f2608,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f612,f80]) ).
fof(f2609,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2608,f455,f611]) ).
fof(f2615,plain,
( ~ sQ65_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f654,f699]) ).
fof(f2622,plain,
( ~ sQ194_spl
| op(e0,e1) != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1243,f110]) ).
fof(f2623,plain,
( ~ sQ194_spl
| op(e0,e1) != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f1243,f82]) ).
fof(f2624,plain,
( sQ16_spl
| ~ sQ194_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f1243,f509]) ).
fof(f2625,plain,
( sQ16_spl
| ~ sQ194_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2624,f468,f1242,f507]) ).
fof(f2626,plain,
( ~ sQ158_spl
| ~ sQ32_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2561,f481,f559,f1086]) ).
fof(f2629,plain,
( sQ66_spl
| ~ sQ61_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f654,f704]) ).
fof(f2632,plain,
( sQ90_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f654,f801]) ).
fof(f2633,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f654,f715]) ).
fof(f2634,plain,
( ~ sQ70_spl
| ~ sQ61_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f654,f719]) ).
fof(f2635,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f654,f723]) ).
fof(f2636,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f576,f2635]) ).
fof(f2637,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2636,f129]) ).
fof(f2638,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2637]) ).
fof(f2639,plain,
( ~ sQ148_spl
| ~ sQ37_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f576,f1045]) ).
fof(f2640,plain,
( ~ sQ207_spl
| ~ sQ15_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f504,f1298]) ).
fof(f2641,plain,
( ~ sQ207_spl
| ~ sQ15_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f654,f2640]) ).
fof(f2642,plain,
( ~ sQ207_spl
| ~ sQ15_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2641,f130]) ).
fof(f2643,plain,
( ~ sQ207_spl
| ~ sQ15_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2642]) ).
fof(f2644,plain,
( ~ sQ206_spl
| ~ sQ15_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f504,f1294]) ).
fof(f2645,plain,
( ~ sQ205_spl
| ~ sQ15_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f504,f1290]) ).
fof(f2646,plain,
( ~ sQ205_spl
| ~ sQ15_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f551]) ).
fof(f2647,plain,
( ~ sQ205_spl
| ~ sQ15_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2646]) ).
fof(f2648,plain,
( ~ sQ162_spl
| ~ sQ32_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2572,f620,f559,f1102]) ).
fof(f2649,plain,
( ~ sQ152_spl
| ~ sQ37_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f576,f1061]) ).
fof(f2650,plain,
( ~ sQ151_spl
| ~ sQ37_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f576,f1057]) ).
fof(f2651,plain,
( ~ sQ151_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f576,f2650]) ).
fof(f2652,plain,
( ~ sQ151_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2651,f129]) ).
fof(f2653,plain,
( ~ sQ151_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2652]) ).
fof(f2654,plain,
( ~ sQ131_spl
| ~ sQ45_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2557,f468,f601,f970]) ).
fof(f2682,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f657,f101]) ).
fof(f2686,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f459,f102]) ).
fof(f2688,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f459,f104]) ).
fof(f2692,plain,
( sQ227_spl
| ~ sQ1_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f459,f1387]) ).
fof(f2694,plain,
( sQ227_spl
| ~ sQ1_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2692,f507,f458,f1385]) ).
fof(f2718,plain,
( sQ87_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f595,f788]) ).
fof(f2719,plain,
( sQ87_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2718,f601,f594,f786]) ).
fof(f2720,plain,
( ~ sQ87_spl
| ~ sQ43_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f595,f787]) ).
fof(f2721,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f527,f112]) ).
fof(f2728,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f527,f108]) ).
fof(f2760,plain,
( sQ80_spl
| ~ sQ22_spl
| e2 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f760]) ).
fof(f2761,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ25_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f537,f2760]) ).
fof(f2762,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ25_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f527,f2761]) ).
fof(f2763,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2762]) ).
fof(f2764,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2763]) ).
fof(f2776,plain,
( sQ164_spl
| ~ sQ31_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f556,f1113]) ).
fof(f2779,plain,
( sQ164_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2776,f555,f1111]) ).
fof(f2782,plain,
( sQ178_spl
| ~ sQ27_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1882,f549,f542,f1172]) ).
fof(f2783,plain,
( sQ179_spl
| ~ sQ27_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2414,f604,f542,f1176]) ).
fof(f2784,plain,
( sQ180_spl
| ~ sQ27_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2412,f659,f542,f1180]) ).
fof(f2785,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2536,f624,f520]) ).
fof(f2787,plain,
( sQ81_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2552,f513,f520,f762]) ).
fof(f2788,plain,
( ~ sQ182_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2560,f510,f520,f1189]) ).
fof(f2789,plain,
( ~ sQ188_spl
| ~ sQ20_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2562,f620,f520,f1216]) ).
fof(f2790,plain,
( ~ sQ183_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f478,f2571]) ).
fof(f2791,plain,
( ~ sQ183_spl
| ~ sQ20_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2790,f130]) ).
fof(f2792,plain,
( ~ sQ183_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2791]) ).
fof(f2793,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2495,f474,f578]) ).
fof(f2794,plain,
( sQ166_spl
| ~ sQ28_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2416,f497,f546,f1119]) ).
fof(f2795,plain,
( sQ171_spl
| ~ sQ28_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2419,f620,f546,f1141]) ).
fof(f2796,plain,
( sQ219_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2248,f562,f474,f1349]) ).
fof(f2797,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2459,f546,f650]) ).
fof(f2799,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2436,f572,f559]) ).
fof(f2800,plain,
( sQ133_spl
| ~ sQ45_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2553,f578,f601,f978]) ).
fof(f2801,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2286,f539,f552]) ).
fof(f2802,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2289,f500,f552]) ).
fof(f2804,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2147,f510,f458]) ).
fof(f2806,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2686,f471,f458]) ).
fof(f2809,plain,
( sQ83_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2551,f516,f520,f770]) ).
fof(f2810,plain,
( ~ sQ206_spl
| ~ sQ15_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2644,f604,f503,f1293]) ).
fof(f2811,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2409,f640,f588]) ).
fof(f2812,plain,
( ~ sQ136_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2424,f578,f588,f991]) ).
fof(f2813,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2595,f640,f653]) ).
fof(f2814,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f2341,f542,f526,f770]) ).
fof(f2815,plain,
( sQ165_spl
| ~ sQ28_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2415,f477,f546,f1115]) ).
fof(f2816,plain,
( ~ sQ87_spl
| ~ sQ43_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2720,f601,f594,f786]) ).
fof(f2823,plain,
( sQ186_spl
| ~ sQ22_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f527,f1209]) ).
fof(f2828,plain,
( sQ170_spl
| ~ sQ28_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f547,f1139]) ).
fof(f2830,plain,
( sQ168_spl
| ~ sQ28_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f547,f1131]) ).
fof(f2833,plain,
( sQ168_spl
| ~ sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2830,f455,f546,f1129]) ).
fof(f2834,plain,
( ~ sQ168_spl
| ~ sQ28_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f547,f1130]) ).
fof(f2836,plain,
( sQ74_spl
| ~ sQ75_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f739,f736]) ).
fof(f2837,plain,
( sQ74_spl
| ~ sQ75_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2836,f487,f738,f734]) ).
fof(f2841,plain,
( ~ sQ209_spl
| ~ sQ213_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1325,f1307]) ).
fof(f2842,plain,
( ~ sQ209_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2841,f127]) ).
fof(f2843,plain,
( ~ sQ209_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f2842]) ).
fof(f2845,plain,
( sQ84_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f595,f777]) ).
fof(f2846,plain,
( sQ88_spl
| ~ sQ43_spl
| e0 != op(e2,op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f595,f792]) ).
fof(f2849,plain,
( ~ sQ225_spl
| ~ sQ7_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f478,f1376]) ).
fof(f2850,plain,
( ~ sQ224_spl
| ~ sQ7_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f478,f1372]) ).
fof(f2851,plain,
( ~ sQ223_spl
| ~ sQ7_spl
| op(e1,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f478,f1368]) ).
fof(f2852,plain,
( ~ sQ222_spl
| ~ sQ7_spl
| op(e0,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f478,f1364]) ).
fof(f2855,plain,
( ~ sQ223_spl
| ~ sQ7_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2851,f549,f477,f1367]) ).
fof(f2856,plain,
( ~ sQ222_spl
| ~ sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2852,f494,f477,f1363]) ).
fof(f2857,plain,
( sQ223_spl
| ~ sQ7_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f478,f1369]) ).
fof(f2859,plain,
( sQ222_spl
| ~ sQ7_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f478,f1365]) ).
fof(f2860,plain,
( sQ49_spl
| ~ sQ121_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f928,f616]) ).
fof(f2861,plain,
( sQ51_spl
| ~ sQ121_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f928,f622]) ).
fof(f2862,plain,
( sQ49_spl
| ~ sQ121_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2860,f497,f927,f614]) ).
fof(f2863,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2045,f562,f614]) ).
fof(f2864,plain,
( sQ74_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f478,f2245]) ).
fof(f2865,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2688,f497,f458]) ).
fof(f2867,plain,
( ~ sQ148_spl
| ~ sQ37_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2639,f536,f575,f1044]) ).
fof(f2868,plain,
( ~ sQ152_spl
| ~ sQ37_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2649,f633,f575,f1060]) ).
fof(f2872,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2492,f617,f513]) ).
fof(f2873,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2497,f604,f578]) ).
fof(f2874,plain,
( sQ111_spl
| ~ sQ28_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2420,f624,f546,f885]) ).
fof(f2876,plain,
( sQ194_spl
| ~ sQ7_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f478,f1244]) ).
fof(f2877,plain,
( sQ186_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2578,f455,f520,f1207]) ).
fof(f2878,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2480,f572,f520]) ).
fof(f2879,plain,
( sQ134_spl
| ~ sQ45_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2554,f633,f601,f982]) ).
fof(f2880,plain,
( ~ sQ168_spl
| ~ sQ28_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2834,f455,f546,f1129]) ).
fof(f2881,plain,
( sQ169_spl
| ~ sQ28_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2417,f510,f546,f1133]) ).
fof(f2884,plain,
( ~ sQ226_spl
| ~ sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2542,f494,f464,f1381]) ).
fof(f2885,plain,
( ~ sQ229_spl
| ~ sQ3_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2558,f549,f464,f1396]) ).
fof(f2886,plain,
( ~ sQ231_spl
| ~ sQ3_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2559,f659,f464,f1404]) ).
fof(f2887,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2435,f611,f559]) ).
fof(f2888,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2682,f604,f656]) ).
fof(f2889,plain,
( sQ185_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1205]) ).
fof(f2890,plain,
sQ185_spl,
inference(contradiction_clause,[status(thm)],[f2889]) ).
fof(f2891,plain,
( sQ90_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2632,f624,f653,f799]) ).
fof(f2893,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2728,f513,f526]) ).
fof(f2894,plain,
( ~ sQ225_spl
| ~ sQ7_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2849,f659,f477,f1375]) ).
fof(f2895,plain,
( ~ sQ65_spl
| ~ sQ61_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2615,f633,f653,f698]) ).
fof(f2896,plain,
( ~ sQ69_spl
| ~ sQ61_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2633,f468,f653,f714]) ).
fof(f2897,plain,
( ~ sQ70_spl
| ~ sQ61_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2634,f523,f653,f718]) ).
fof(f2898,plain,
( ~ sQ230_spl
| ~ sQ3_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2544,f604,f464,f1400]) ).
fof(f2899,plain,
( sQ228_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1393]) ).
fof(f2900,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2901,plain,
( ~ sQ200_spl
| ~ sQ204_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1286,f1268]) ).
fof(f2902,plain,
( ~ sQ200_spl
| ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2901,f128]) ).
fof(f2903,plain,
( ~ sQ200_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f2902]) ).
fof(f2906,plain,
( ~ sQ190_spl
| ~ sQ196_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1251,f1226]) ).
fof(f2907,plain,
( ~ sQ190_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2906,f126]) ).
fof(f2908,plain,
( ~ sQ190_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2907]) ).
fof(f2910,plain,
( ~ sQ192_spl
| ~ sQ18_spl
| op(e2,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f514,f1234]) ).
fof(f2911,plain,
( ~ sQ195_spl
| ~ sQ18_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f514,f1247]) ).
fof(f2913,plain,
( ~ sQ197_spl
| ~ sQ18_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f514,f1255]) ).
fof(f2914,plain,
( ~ sQ198_spl
| ~ sQ18_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f514,f1259]) ).
fof(f2915,plain,
( ~ sQ195_spl
| ~ sQ18_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2911,f481,f513,f1246]) ).
fof(f2916,plain,
( ~ sQ198_spl
| ~ sQ18_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2914,f646,f513,f1258]) ).
fof(f2917,plain,
( sQ195_spl
| ~ sQ18_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f514,f1248]) ).
fof(f2919,plain,
( ~ sQ174_spl
| ~ sQ25_spl
| op(e1,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f537,f1155]) ).
fof(f2922,plain,
( sQ177_spl
| ~ sQ25_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f537,f1170]) ).
fof(f2923,plain,
( ~ sQ174_spl
| ~ sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2919,f526,f536,f1154]) ).
fof(f2924,plain,
( sQ177_spl
| ~ sQ25_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2922,f468,f536,f1168]) ).
fof(f2928,plain,
( ~ sQ187_spl
| ~ sQ20_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2563,f565,f520,f1212]) ).
fof(f2932,plain,
( sQ148_spl
| ~ sQ27_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2423,f581,f542,f1044]) ).
fof(f2933,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2509,f604,f500]) ).
fof(f2941,plain,
( ~ sQ154_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e2,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f2910,f1070]) ).
fof(f2942,plain,
( ~ sQ155_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e1,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f2910,f1074]) ).
fof(f2944,plain,
( ~ sQ159_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f2910,f1091]) ).
fof(f2947,plain,
( sQ158_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f2910,f1088]) ).
fof(f2948,plain,
( ~ sQ154_spl
| ~ sQ192_spl
| ~ sQ18_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2941,f572,f513,f1233,f1069]) ).
fof(f2949,plain,
( ~ sQ159_spl
| ~ sQ192_spl
| ~ sQ18_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2944,f468,f513,f1233,f1090]) ).
fof(f2954,plain,
( sQ192_spl
| ~ sQ18_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f1235]) ).
fof(f2955,plain,
( ~ sQ190_spl
| ~ sQ18_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f514,f1226]) ).
fof(f2956,plain,
( ~ sQ191_spl
| ~ sQ18_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f514,f1230]) ).
fof(f2957,plain,
( ~ sQ137_spl
| ~ sQ197_spl
| ~ sQ18_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f2913,f996]) ).
fof(f2958,plain,
( ~ sQ140_spl
| ~ sQ197_spl
| ~ sQ18_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f2913,f1010]) ).
fof(f2961,plain,
( ~ sQ137_spl
| ~ sQ197_spl
| ~ sQ18_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2957,f591,f513,f1254,f995]) ).
fof(f2967,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f644,f831]) ).
fof(f2968,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2967,f604,f643,f830]) ).
fof(f2970,plain,
( sQ98_spl
| ~ sQ58_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f644,f832]) ).
fof(f2989,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f654,f122]) ).
fof(f2990,plain,
( sQ91_spl
| ~ sQ61_spl
| e2 != op(e3,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f654,f804]) ).
fof(f3017,plain,
( sQ85_spl
| ~ sQ40_spl
| e3 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f586,f780]) ).
fof(f3031,plain,
( sQ86_spl
| ~ sQ40_spl
| e1 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f586,f784]) ).
fof(f3064,plain,
( ~ sQ28_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f547,f99]) ).
fof(f3126,plain,
( sQ213_spl
| ~ sQ11_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f491,f1326]) ).
fof(f3132,plain,
( sQ194_spl
| ~ sQ4_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f469,f1244]) ).
fof(f3134,plain,
( sQ204_spl
| ~ sQ14_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f501,f1287]) ).
fof(f3136,plain,
( sQ196_spl
| ~ sQ19_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f517,f1252]) ).
fof(f3138,plain,
( sQ70_spl
| ~ sQ61_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f654,f720]) ).
fof(f3142,plain,
( sQ101_spl
| ~ sQ47_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f608,f845]) ).
fof(f3144,plain,
( ~ sQ177_spl
| ~ sQ25_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f537,f1169]) ).
fof(f3159,plain,
( ~ sQ226_spl
| ~ sQ1_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f459,f1382]) ).
fof(f3163,plain,
( ~ sQ219_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f469,f1350]) ).
fof(f3169,plain,
( ~ sQ136_spl
| ~ sQ40_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f586,f992]) ).
fof(f3171,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| e2 = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f759]) ).
fof(f3175,plain,
( ~ sQ158_spl
| ~ sQ11_spl
| e3 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f491,f1087]) ).
fof(f3176,plain,
( ~ sQ158_spl
| ~ sQ11_spl
| ~ sQ34_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f566,f3175]) ).
fof(f3177,plain,
( ~ sQ158_spl
| ~ sQ11_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3176,f131]) ).
fof(f3178,plain,
( ~ sQ158_spl
| ~ sQ11_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3177]) ).
fof(f3179,plain,
( sQ158_spl
| ~ sQ11_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f491,f1088]) ).
fof(f3181,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f501,f928]) ).
fof(f3182,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ48_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f612,f3181]) ).
fof(f3183,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3182,f127]) ).
fof(f3184,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3185,plain,
( sQ92_spl
| ~ sQ61_spl
| e1 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f654,f808]) ).
fof(f3194,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f576,f87]) ).
fof(f3195,plain,
( sQ84_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2845,f598,f594,f775]) ).
fof(f3196,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f469,f475]) ).
fof(f3197,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3196,f127]) ).
fof(f3198,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3197]) ).
fof(f3199,plain,
( sQ80_spl
| ~ sQ22_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f2327,f1150,f526,f758]) ).
fof(f3202,plain,
( sQ192_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2954,f562,f513,f1233]) ).
fof(f3203,plain,
( ~ sQ191_spl
| ~ sQ18_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2956,f572,f513,f1229]) ).
fof(f3204,plain,
( ~ sQ219_spl
| ~ sQ4_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3163,f458,f468,f1349]) ).
fof(f3205,plain,
( sQ158_spl
| ~ sQ11_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3179,f568,f490,f1086]) ).
fof(f3206,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2498,f468,f481]) ).
fof(f3226,plain,
( sQ86_spl
| ~ sQ41_spl
| e1 != op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f589,f784]) ).
fof(f3228,plain,
( sQ196_spl
| ~ sQ18_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f1252]) ).
fof(f3230,plain,
( ~ sQ8_spl
| sQ195_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f2917]) ).
fof(f3231,plain,
( ~ sQ8_spl
| sQ195_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3230]) ).
fof(f3233,plain,
( sQ82_spl
| ~ sQ20_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f2555,f1225,f520,f766]) ).
fof(f3234,plain,
( ~ sQ186_spl
| ~ sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2567,f455,f520,f1207]) ).
fof(f3235,plain,
( ~ sQ226_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f3159,f468,f458,f1381]) ).
fof(f3236,plain,
( sQ74_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2864,f500,f477,f458,f734]) ).
fof(f3237,plain,
( sQ223_spl
| ~ sQ7_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2857,f549,f477,f1367]) ).
fof(f3238,plain,
( sQ101_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3142,f646,f607,f843]) ).
fof(f3239,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3134,f481,f500,f1285]) ).
fof(f3240,plain,
( sQ196_spl
| ~ sQ19_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3136,f549,f516,f1250]) ).
fof(f3243,plain,
( sQ98_spl
| ~ sQ58_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2970,f604,f643,f830]) ).
fof(f3244,plain,
( sQ213_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3126,f494,f490,f1324]) ).
fof(f3247,plain,
( sQ137_spl
| ~ sQ41_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f589,f997]) ).
fof(f3248,plain,
( sQ194_spl
| ~ sQ4_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3132,f507,f468,f1242]) ).
fof(f3249,plain,
( sQ194_spl
| ~ sQ7_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2876,f516,f477,f1242]) ).
fof(f3250,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3171,f1150,f526,f758]) ).
fof(f3255,plain,
( sQ65_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f660,f700]) ).
fof(f3256,plain,
( sQ65_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f660,f3255]) ).
fof(f3257,plain,
( sQ65_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3256]) ).
fof(f3258,plain,
( sQ65_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3259,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2146,f601,f653]) ).
fof(f3260,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2989,f614,f653]) ).
fof(f3262,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f3185,f868,f653,f806]) ).
fof(f3264,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3181,f617,f500,f927]) ).
fof(f3266,plain,
( ~ sQ101_spl
| ~ sQ45_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2543,f640,f601,f843]) ).
fof(f3267,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2065,f555,f633,f885]) ).
fof(f3268,plain,
( sQ51_spl
| ~ sQ121_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2861,f503,f927,f620]) ).
fof(f3269,plain,
( sQ142_spl
| ~ sQ43_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f595,f1020]) ).
fof(f3271,plain,
( sQ136_spl
| ~ sQ43_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f595,f993]) ).
fof(f3302,plain,
( sQ4_spl
| ~ sQ177_spl
| ~ sQ25_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3144,f470]) ).
fof(f3303,plain,
( sQ4_spl
| ~ sQ177_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3302]) ).
fof(f3304,plain,
( sQ4_spl
| ~ sQ177_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3303]) ).
fof(f3308,plain,
( sQ209_spl
| ~ sQ8_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f482,f1308]) ).
fof(f3310,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f482,f103]) ).
fof(f3314,plain,
( sQ200_spl
| ~ sQ14_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f501,f1269]) ).
fof(f3319,plain,
( sQ207_spl
| ~ sQ14_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f501,f1299]) ).
fof(f3328,plain,
( sQ131_spl
| ~ sQ45_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f602,f972]) ).
fof(f3359,plain,
( sQ187_spl
| ~ sQ20_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f521,f1214]) ).
fof(f3363,plain,
( sQ79_spl
| ~ sQ20_spl
| e3 != op(e1,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f521,f756]) ).
fof(f3374,plain,
( sQ197_spl
| ~ sQ18_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f514,f1256]) ).
fof(f3382,plain,
( sQ229_spl
| ~ sQ3_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f465,f1398]) ).
fof(f3385,plain,
( sQ72_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f465,f729]) ).
fof(f3391,plain,
( sQ219_spl
| ~ sQ5_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f472,f1351]) ).
fof(f3396,plain,
( sQ174_spl
| ~ sQ25_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f537,f1156]) ).
fof(f3400,plain,
( sQ188_spl
| ~ sQ20_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f521,f1218]) ).
fof(f3406,plain,
( sQ94_spl
| ~ sQ60_spl
| e0 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f651,f816]) ).
fof(f3410,plain,
( sQ66_spl
| ~ sQ60_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f651,f704]) ).
fof(f3430,plain,
( sQ154_spl
| ~ sQ32_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f560,f1071]) ).
fof(f3432,plain,
( sQ162_spl
| ~ sQ32_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f560,f1104]) ).
fof(f3435,plain,
( sQ154_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3430,f559,f1069]) ).
fof(f3439,plain,
( sQ174_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3396,f526,f536,f1154]) ).
fof(f3444,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f472,f478]) ).
fof(f3445,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3444,f130]) ).
fof(f3446,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3445]) ).
fof(f3468,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f651,f124]) ).
fof(f3474,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f602,f2846]) ).
fof(f3489,plain,
( sQ121_spl
| ~ sQ14_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f501,f929]) ).
fof(f3491,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| e1 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f472,f1243]) ).
fof(f3493,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f472,f2623]) ).
fof(f3494,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f615,f3493]) ).
fof(f3495,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3494]) ).
fof(f3496,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3495]) ).
fof(f3498,plain,
( sQ129_spl
| ~ sQ45_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f602,f962]) ).
fof(f3499,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f651,f699]) ).
fof(f3500,plain,
( ~ sQ223_spl
| ~ sQ5_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f472,f1368]) ).
fof(f3502,plain,
( sQ121_spl
| ~ sQ14_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3489,f617,f500,f927]) ).
fof(f3504,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f651,f819]) ).
fof(f3511,plain,
( sQ205_spl
| ~ sQ14_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f501,f1291]) ).
fof(f3515,plain,
( sQ170_spl
| ~ sQ31_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f1139]) ).
fof(f3525,plain,
( sQ69_spl
| ~ sQ60_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f651,f716]) ).
fof(f3526,plain,
( sQ70_spl
| ~ sQ60_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f651,f720]) ).
fof(f3527,plain,
( sQ158_spl
| ~ sQ8_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f482,f1088]) ).
fof(f3529,plain,
( ~ sQ213_spl
| ~ sQ8_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f482,f1325]) ).
fof(f3530,plain,
( ~ sQ213_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3529,f3310]) ).
fof(f3531,plain,
( ~ sQ213_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3530]) ).
fof(f3533,plain,
( sQ72_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3385,f497,f464,f727]) ).
fof(f3537,plain,
( ~ sQ194_spl
| ~ sQ31_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f556,f2622]) ).
fof(f3538,plain,
( sQ229_spl
| ~ sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2214,f523,f458,f1396]) ).
fof(f3542,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3138,f523,f653,f718]) ).
fof(f3543,plain,
( sQ66_spl
| ~ sQ61_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2629,f555,f653,f702]) ).
fof(f3544,plain,
( sQ200_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3314,f490,f500,f1267]) ).
fof(f3545,plain,
( sQ137_spl
| ~ sQ41_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3247,f539,f588,f995]) ).
fof(f3546,plain,
( ~ sQ140_spl
| ~ sQ197_spl
| ~ sQ18_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2958,f481,f513,f1254,f1009]) ).
fof(f3548,plain,
( ~ sQ76_spl
| ~ sQ74_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f735,f743]) ).
fof(f3549,plain,
( ~ sQ76_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3548,f129]) ).
fof(f3550,plain,
( ~ sQ76_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3549]) ).
fof(f3551,plain,
( ~ sQ223_spl
| ~ sQ5_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3500,f523,f471,f1367]) ).
fof(f3552,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2525,f1267,f464,f730]) ).
fof(f3554,plain,
( sQ142_spl
| ~ sQ43_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3269,f659,f594,f1018]) ).
fof(f3559,plain,
( sQ79_spl
| ~ sQ23_spl
| e3 != op(e1,op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f530,f756]) ).
fof(f3562,plain,
( sQ187_spl
| ~ sQ23_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f1214]) ).
fof(f3564,plain,
( sQ188_spl
| ~ sQ23_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f530,f1218]) ).
fof(f3567,plain,
( sQ188_spl
| ~ sQ23_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3564,f659,f529,f1216]) ).
fof(f3569,plain,
( ~ sQ188_spl
| ~ sQ23_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f530,f1217]) ).
fof(f3575,plain,
( sQ198_spl
| ~ sQ16_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f508,f1260]) ).
fof(f3580,plain,
( sQ191_spl
| ~ sQ16_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f508,f1231]) ).
fof(f3587,plain,
( sQ168_spl
| ~ sQ30_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f553,f1131]) ).
fof(f3588,plain,
( sQ111_spl
| ~ sQ30_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f553,f887]) ).
fof(f3589,plain,
( sQ168_spl
| ~ sQ30_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3587,f481,f552,f1129]) ).
fof(f3614,plain,
( sQ162_spl
| ~ sQ34_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f566,f1104]) ).
fof(f3615,plain,
( sQ160_spl
| ~ sQ34_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f566,f1096]) ).
fof(f3619,plain,
( sQ160_spl
| ~ sQ34_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3615,f536,f565,f1094]) ).
fof(f3620,plain,
( sQ187_spl
| ~ sQ20_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3359,f565,f520,f1212]) ).
fof(f3627,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2109,f1069,f585,f790]) ).
fof(f3635,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f615,f1621]) ).
fof(f3646,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3525,f455,f650,f714]) ).
fof(f3660,plain,
( ~ sQ160_spl
| ~ sQ34_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f566,f1095]) ).
fof(f3661,plain,
( ~ sQ224_spl
| ~ sQ7_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2850,f604,f477,f1371]) ).
fof(f3662,plain,
( sQ170_spl
| ~ sQ28_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2828,f565,f546,f1137]) ).
fof(f3664,plain,
( sQ162_spl
| ~ sQ34_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3614,f646,f565,f1102]) ).
fof(f3665,plain,
( ~ sQ154_spl
| ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f566,f1070]) ).
fof(f3675,plain,
( sQ156_spl
| ~ sQ34_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f566,f1079]) ).
fof(f3676,plain,
( sQ156_spl
| ~ sQ34_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f566,f3675]) ).
fof(f3677,plain,
( sQ156_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3676]) ).
fof(f3678,plain,
( sQ156_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3677]) ).
fof(f3679,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2721,f552,f526]) ).
fof(f3680,plain,
( ~ sQ194_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3491,f510,f471,f1242]) ).
fof(f3681,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2406,f617,f461]) ).
fof(f3682,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1821,f604,f591]) ).
fof(f3683,plain,
( sQ139_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1007]) ).
fof(f3684,plain,
sQ139_spl,
inference(contradiction_clause,[status(thm)],[f3683]) ).
fof(f3685,plain,
( ~ sQ160_spl
| ~ sQ34_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3660,f536,f565,f1094]) ).
fof(f3686,plain,
( ~ sQ154_spl
| ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3665,f585,f565,f1069]) ).
fof(f3687,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3474,f572,f601,f594,f790]) ).
fof(f3689,plain,
( ~ sQ194_spl
| ~ sQ31_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3537,f477,f555,f1242]) ).
fof(f3690,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1912,f640,f484]) ).
fof(f3691,plain,
( ~ sQ188_spl
| ~ sQ23_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f3569,f659,f529,f1216]) ).
fof(f3692,plain,
( ~ sQ207_spl
| ~ sQ15_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2640,f659,f503,f1297]) ).
fof(f3742,plain,
( ~ sQ84_spl
| ~ sQ43_spl
| e0 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f595,f776]) ).
fof(f3747,plain,
( sQ177_spl
| ~ sQ24_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f534,f1170]) ).
fof(f3748,plain,
( sQ177_spl
| ~ sQ24_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f456,f3747]) ).
fof(f3749,plain,
( sQ177_spl
| ~ sQ24_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3748]) ).
fof(f3750,plain,
( sQ177_spl
| ~ sQ24_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3751,plain,
( ~ sQ177_spl
| ~ sQ24_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f534,f1169]) ).
fof(f3756,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f472,f84]) ).
fof(f3761,plain,
( sQ225_spl
| ~ sQ5_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f472,f1377]) ).
fof(f3764,plain,
( ~ sQ72_spl
| ~ sQ0_spl
| e1 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f456,f728]) ).
fof(f3765,plain,
( ~ sQ72_spl
| ~ sQ0_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f456,f3764]) ).
fof(f3766,plain,
( ~ sQ72_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3765,f126]) ).
fof(f3767,plain,
( ~ sQ72_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3766]) ).
fof(f3775,plain,
( sQ191_spl
| ~ sQ16_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3580,f468,f507,f1229]) ).
fof(f3776,plain,
( ~ sQ101_spl
| ~ sQ84_spl
| ~ sQ43_spl
| e0 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f3742,f844]) ).
fof(f3777,plain,
( sQ140_spl
| ~ sQ43_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f595,f1011]) ).
fof(f3778,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ43_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f3742,f3064]) ).
fof(f3779,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3778]) ).
fof(f3780,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3779]) ).
fof(f3781,plain,
( ~ sQ155_spl
| ~ sQ192_spl
| ~ sQ18_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2942,f533,f513,f1233,f1073]) ).
fof(f3782,plain,
( sQ188_spl
| ~ sQ20_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3400,f620,f520,f1216]) ).
fof(f3783,plain,
( sQ197_spl
| ~ sQ18_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3374,f591,f513,f1254]) ).
fof(f3785,plain,
( sQ205_spl
| ~ sQ14_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3511,f536,f500,f1289]) ).
fof(f3786,plain,
( sQ136_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3271,f604,f594,f991]) ).
fof(f3787,plain,
( sQ187_spl
| ~ sQ23_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3562,f604,f529,f1212]) ).
fof(f3791,plain,
( sQ190_spl
| ~ sQ18_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f514,f1227]) ).
fof(f3800,plain,
( sQ94_spl
| ~ sQ61_spl
| e0 != op(e3,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f654,f816]) ).
fof(f3803,plain,
( sQ71_spl
| ~ sQ61_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f654,f724]) ).
fof(f3804,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f2266,f96]) ).
fof(f3808,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3804,f503,f653,f702]) ).
fof(f3810,plain,
( ~ sQ173_spl
| ~ sQ25_spl
| op(e1,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f537,f1151]) ).
fof(f3813,plain,
( ~ sQ173_spl
| ~ sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3810,f526,f536,f1150]) ).
fof(f3821,plain,
( sQ107_spl
| ~ sQ54_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f631,f870]) ).
fof(f3844,plain,
( sQ198_spl
| ~ sQ18_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f514,f1260]) ).
fof(f3851,plain,
( sQ86_spl
| ~ sQ43_spl
| e1 != op(e2,op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f595,f784]) ).
fof(f3855,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f595,f1019]) ).
fof(f3857,plain,
( ~ sQ137_spl
| ~ sQ43_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f595,f996]) ).
fof(f3858,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f3855,f659,f594,f1018]) ).
fof(f3859,plain,
( ~ sQ137_spl
| ~ sQ43_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f3857,f643,f594,f995]) ).
fof(f3865,plain,
( sQ131_spl
| ~ sQ45_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3328,f468,f601,f970]) ).
fof(f3867,plain,
( sQ121_spl
| ~ sQ51_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f621,f929]) ).
fof(f3869,plain,
( sQ137_spl
| ~ sQ43_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f595,f997]) ).
fof(f3871,plain,
( ~ sQ87_spl
| ~ sQ43_spl
| e1 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f595,f787]) ).
fof(f3872,plain,
( ~ sQ230_spl
| ~ sQ1_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f459,f1401]) ).
fof(f3873,plain,
( ~ sQ141_spl
| ~ sQ43_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f595,f1014]) ).
fof(f3874,plain,
( ~ sQ141_spl
| ~ sQ43_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f3873]) ).
fof(f3875,plain,
( ~ sQ141_spl
| ~ sQ43_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3874,f126]) ).
fof(f3876,plain,
( ~ sQ141_spl
| ~ sQ43_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3875]) ).
fof(f3877,plain,
( sQ141_spl
| ~ sQ43_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f595,f1015]) ).
fof(f3879,plain,
( ~ sQ140_spl
| ~ sQ43_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f595,f1010]) ).
fof(f3880,plain,
( ~ sQ140_spl
| ~ sQ43_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3879,f496]) ).
fof(f3881,plain,
( ~ sQ140_spl
| ~ sQ43_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3880]) ).
fof(f3918,plain,
( ~ sQ156_spl
| ~ sQ32_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f1078]) ).
fof(f3922,plain,
( sQ156_spl
| ~ sQ32_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f560,f1079]) ).
fof(f3937,plain,
( sQ223_spl
| ~ sQ4_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f469,f1369]) ).
fof(f3938,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f469,f1346]) ).
fof(f3941,plain,
( sQ219_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f469,f1351]) ).
fof(f3943,plain,
( sQ219_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3941,f458,f468,f1349]) ).
fof(f3948,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f638,f831]) ).
fof(f3949,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f504,f3948]) ).
fof(f3950,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3949,f131]) ).
fof(f3951,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3950]) ).
fof(f3965,plain,
( sQ137_spl
| ~ sQ43_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3869,f643,f594,f995]) ).
fof(f3968,plain,
( sQ158_spl
| ~ sQ8_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3527,f559,f481,f1086]) ).
fof(f3979,plain,
( ~ sQ111_spl
| ~ sQ28_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f547,f886]) ).
fof(f3982,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f459,f1405]) ).
fof(f3983,plain,
( sQ186_spl
| ~ sQ23_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f530,f1209]) ).
fof(f3988,plain,
( ~ sQ118_spl
| ~ sQ51_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f621,f915]) ).
fof(f3991,plain,
( ~ sQ160_spl
| ~ sQ32_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f560,f1095]) ).
fof(f3992,plain,
( ~ sQ160_spl
| ~ sQ32_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f514,f3991]) ).
fof(f3993,plain,
( ~ sQ160_spl
| ~ sQ32_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3992,f129]) ).
fof(f3994,plain,
( ~ sQ160_spl
| ~ sQ32_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3993]) ).
fof(f4001,plain,
( ~ sQ229_spl
| ~ sQ1_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f459,f1397]) ).
fof(f4002,plain,
( ~ sQ229_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f4001]) ).
fof(f4003,plain,
( ~ sQ229_spl
| ~ sQ1_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4002,f130]) ).
fof(f4004,plain,
( ~ sQ229_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f4003]) ).
fof(f4005,plain,
( ~ sQ180_spl
| ~ sQ25_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f537,f1181]) ).
fof(f4006,plain,
( sQ160_spl
| ~ sQ32_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f560,f1096]) ).
fof(f4008,plain,
( ~ sQ159_spl
| ~ sQ32_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f560,f1091]) ).
fof(f4009,plain,
( ~ sQ159_spl
| ~ sQ32_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f459,f4008]) ).
fof(f4010,plain,
( ~ sQ159_spl
| ~ sQ32_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4009,f126]) ).
fof(f4011,plain,
( ~ sQ159_spl
| ~ sQ32_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4017,plain,
( ~ sQ81_spl
| ~ sQ23_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f530,f763]) ).
fof(f4018,plain,
( ~ sQ81_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f547,f4017]) ).
fof(f4019,plain,
( ~ sQ81_spl
| ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4018,f127]) ).
fof(f4020,plain,
( ~ sQ81_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4019]) ).
fof(f4023,plain,
( ~ sQ230_spl
| ~ sQ1_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3872,f578,f458,f1400]) ).
fof(f4027,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f3982,f633,f458,f1404]) ).
fof(f4028,plain,
( sQ121_spl
| ~ sQ51_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3867,f503,f620,f927]) ).
fof(f4029,plain,
( sQ206_spl
| ~ sQ15_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f504,f1295]) ).
fof(f4030,plain,
( ~ sQ171_spl
| ~ sQ28_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f547,f1142]) ).
fof(f4031,plain,
( ~ sQ170_spl
| ~ sQ28_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f547,f1138]) ).
fof(f4032,plain,
( ~ sQ170_spl
| ~ sQ28_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f4031]) ).
fof(f4033,plain,
( ~ sQ170_spl
| ~ sQ28_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4032,f127]) ).
fof(f4034,plain,
( ~ sQ170_spl
| ~ sQ28_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f4033]) ).
fof(f4037,plain,
( sQ80_spl
| ~ sQ23_spl
| e2 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f530,f760]) ).
fof(f4038,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f547,f4037]) ).
fof(f4039,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f514,f4038]) ).
fof(f4040,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4039]) ).
fof(f4041,plain,
( sQ80_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4042,plain,
( sQ209_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3308,f461,f481,f1306]) ).
fof(f4045,plain,
( sQ160_spl
| ~ sQ32_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4006,f510,f559,f1094]) ).
fof(f4052,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3756,f523,f471]) ).
fof(f4054,plain,
( sQ219_spl
| ~ sQ5_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3391,f510,f471,f1349]) ).
fof(f4060,plain,
( ~ sQ194_spl
| ~ sQ51_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f621,f2623]) ).
fof(f4061,plain,
( ~ sQ182_spl
| ~ sQ23_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f1190]) ).
fof(f4062,plain,
( ~ sQ182_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f4061]) ).
fof(f4063,plain,
( ~ sQ182_spl
| ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4062,f126]) ).
fof(f4064,plain,
( ~ sQ182_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4063]) ).
fof(f4068,plain,
( sQ141_spl
| ~ sQ43_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3877,f549,f594,f1013]) ).
fof(f4072,plain,
( sQ94_spl
| ~ sQ60_spl
| ~ sQ51_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f621,f3406]) ).
fof(f4082,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3410,f503,f650,f702]) ).
fof(f4084,plain,
( sQ107_spl
| ~ sQ54_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3821,f640,f630,f868]) ).
fof(f4085,plain,
( sQ182_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f530,f1191]) ).
fof(f4086,plain,
( sQ190_spl
| ~ sQ18_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3791,f533,f513,f1225]) ).
fof(f4087,plain,
( ~ sQ177_spl
| ~ sQ24_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3751,f455,f533,f1168]) ).
fof(f4094,plain,
( ~ sQ117_spl
| ~ sQ51_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f621,f911]) ).
fof(f4101,plain,
( sQ99_spl
| ~ sQ57_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f641,f836]) ).
fof(f4102,plain,
( sQ97_spl
| ~ sQ57_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f641,f828]) ).
fof(f4103,plain,
( sQ97_spl
| ~ sQ57_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4102,f630,f640,f826]) ).
fof(f4109,plain,
( sQ205_spl
| ~ sQ15_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f504,f1291]) ).
fof(f4120,plain,
( sQ94_spl
| ~ sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4072,f650,f620,f814]) ).
fof(f4121,plain,
( sQ117_spl
| ~ sQ51_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f621,f912]) ).
fof(f4122,plain,
( sQ118_spl
| ~ sQ51_spl
| op(e3,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f621,f916]) ).
fof(f4127,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f469,f102]) ).
fof(f4128,plain,
( sQ225_spl
| ~ sQ4_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f469,f1377]) ).
fof(f4136,plain,
( sQ225_spl
| ~ sQ4_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4128,f620,f468,f1375]) ).
fof(f4137,plain,
( ~ sQ225_spl
| ~ sQ4_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f469,f1376]) ).
fof(f4139,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f3938,f103]) ).
fof(f4142,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4139,f484,f468,f1345]) ).
fof(f4143,plain,
( sQ218_spl
| ~ sQ4_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f469,f1347]) ).
fof(f4147,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f534,f90]) ).
fof(f4150,plain,
( ~ sQ179_spl
| ~ sQ24_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f534,f1177]) ).
fof(f4151,plain,
( ~ sQ178_spl
| ~ sQ24_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f534,f1173]) ).
fof(f4152,plain,
( ~ sQ179_spl
| ~ sQ24_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f4150,f565,f533,f1176]) ).
fof(f4153,plain,
( ~ sQ178_spl
| ~ sQ24_spl
| sQ223_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4151,f3937]) ).
fof(f4154,plain,
( ~ sQ178_spl
| ~ sQ24_spl
| sQ223_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4153]) ).
fof(f4157,plain,
( sQ178_spl
| ~ sQ24_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f534,f1174]) ).
fof(f4158,plain,
( ~ sQ223_spl
| ~ sQ4_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f469,f1368]) ).
fof(f4168,plain,
( ~ sQ133_spl
| ~ sQ45_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f602,f979]) ).
fof(f4181,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f504,f1276]) ).
fof(f4188,plain,
( sQ213_spl
| ~ sQ175_spl
| ~ sQ24_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f4189,f1326]) ).
fof(f4189,plain,
( ~ sQ175_spl
| ~ sQ24_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f534,f1159]) ).
fof(f4190,plain,
( sQ213_spl
| ~ sQ175_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4188,f468,f533,f1158,f1324]) ).
fof(f4191,plain,
( sQ175_spl
| ~ sQ24_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f534,f1160]) ).
fof(f4192,plain,
( ~ sQ173_spl
| ~ sQ24_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f534,f1151]) ).
fof(f4193,plain,
( ~ sQ173_spl
| ~ sQ24_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4192,f515]) ).
fof(f4194,plain,
( ~ sQ173_spl
| ~ sQ24_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4193]) ).
fof(f4195,plain,
( ~ sQ174_spl
| ~ sQ24_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f534,f1155]) ).
fof(f4196,plain,
( ~ sQ174_spl
| ~ sQ24_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f469,f4195]) ).
fof(f4197,plain,
( ~ sQ174_spl
| ~ sQ24_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4196,f127]) ).
fof(f4198,plain,
( ~ sQ174_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4197]) ).
fof(f4199,plain,
( sQ173_spl
| ~ sQ24_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f534,f1152]) ).
fof(f4200,plain,
( sQ174_spl
| ~ sQ24_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f534,f1156]) ).
fof(f4202,plain,
( sQ175_spl
| ~ sQ24_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4191,f484,f533,f1158]) ).
fof(f4206,plain,
( sQ72_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f462,f729]) ).
fof(f4209,plain,
( sQ72_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4206,f484,f461,f727]) ).
fof(f4212,plain,
( sQ224_spl
| ~ sQ4_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f469,f1373]) ).
fof(f4224,plain,
( ~ sQ149_spl
| ~ sQ38_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f579,f1049]) ).
fof(f4225,plain,
( ~ sQ144_spl
| ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f579,f1028]) ).
fof(f4228,plain,
( sQ152_spl
| ~ sQ38_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f579,f1062]) ).
fof(f4229,plain,
( ~ sQ149_spl
| ~ sQ38_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4224,f481,f578,f1048]) ).
fof(f4230,plain,
( ~ sQ144_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f4225,f588,f578,f1027]) ).
fof(f4232,plain,
( sQ149_spl
| ~ sQ38_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f579,f1050]) ).
fof(f4236,plain,
( sQ144_spl
| ~ sQ38_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f579,f1029]) ).
fof(f4240,plain,
( sQ127_spl
| ~ sQ45_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f602,f954]) ).
fof(f4245,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f579,f118]) ).
fof(f4264,plain,
( sQ117_spl
| ~ sQ51_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f651,f4121]) ).
fof(f4265,plain,
( sQ117_spl
| ~ sQ51_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4264]) ).
fof(f4266,plain,
( sQ117_spl
| ~ sQ51_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4265]) ).
fof(f4273,plain,
( sQ178_spl
| ~ sQ24_spl
| ~ sQ17_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f511,f4157]) ).
fof(f4274,plain,
( sQ178_spl
| ~ sQ24_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4273]) ).
fof(f4275,plain,
( sQ178_spl
| ~ sQ24_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4274]) ).
fof(f4293,plain,
( sQ200_spl
| ~ sQ15_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f504,f1269]) ).
fof(f4294,plain,
( sQ200_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f504,f4293]) ).
fof(f4295,plain,
( sQ200_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4294]) ).
fof(f4296,plain,
( sQ200_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4295]) ).
fof(f4298,plain,
( sQ144_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f4236,f588,f578,f1027]) ).
fof(f4301,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f644,f95]) ).
fof(f4333,plain,
( sQ164_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2589,f542,f552,f1111]) ).
fof(f4342,plain,
( sQ149_spl
| ~ sQ38_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4232,f481,f578,f1048]) ).
fof(f4343,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f579,f2408]) ).
fof(f4347,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2393,f562,f588]) ).
fof(f4358,plain,
( sQ192_spl
| ~ sQ17_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f511,f1235]) ).
fof(f4359,plain,
( sQ192_spl
| ~ sQ17_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f511,f4358]) ).
fof(f4360,plain,
( sQ192_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4359]) ).
fof(f4361,plain,
( sQ192_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4360]) ).
fof(f4362,plain,
( ~ sQ226_spl
| ~ sQ2_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f1382]) ).
fof(f4376,plain,
( sQ230_spl
| ~ sQ2_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f462,f1402]) ).
fof(f4380,plain,
( sQ91_spl
| ~ sQ65_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f699,f804]) ).
fof(f4382,plain,
( sQ231_spl
| ~ sQ2_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f462,f1406]) ).
fof(f4391,plain,
( sQ177_spl
| ~ sQ27_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f543,f1170]) ).
fof(f4393,plain,
( sQ177_spl
| ~ sQ27_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4391,f494,f542,f1168]) ).
fof(f4394,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f543,f1169]) ).
fof(f4395,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| sQ222_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4394,f2859]) ).
fof(f4396,plain,
( ~ sQ177_spl
| ~ sQ27_spl
| sQ222_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4395]) ).
fof(f4397,plain,
( ~ sQ222_spl
| ~ sQ7_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f478,f1364]) ).
fof(f4421,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f527,f88]) ).
fof(f4424,plain,
( sQ160_spl
| ~ sQ35_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f569,f1096]) ).
fof(f4429,plain,
( sQ159_spl
| ~ sQ35_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1092]) ).
fof(f4434,plain,
( sQ186_spl
| ~ sQ22_spl
| ~ sQ226_spl
| ~ sQ2_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f4362,f2823]) ).
fof(f4435,plain,
( sQ186_spl
| ~ sQ22_spl
| ~ sQ226_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4434]) ).
fof(f4436,plain,
( sQ186_spl
| ~ sQ22_spl
| ~ sQ226_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4435]) ).
fof(f4438,plain,
( sQ226_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f462,f1383]) ).
fof(f4439,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f462,f1405]) ).
fof(f4440,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f644,f4439]) ).
fof(f4441,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f131]) ).
fof(f4442,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4441]) ).
fof(f4446,plain,
( sQ77_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f748]) ).
fof(f4447,plain,
( sQ155_spl
| ~ sQ35_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1075]) ).
fof(f4454,plain,
( ~ sQ227_spl
| ~ sQ2_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f1386]) ).
fof(f4455,plain,
( ~ sQ227_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f569,f4454]) ).
fof(f4456,plain,
( ~ sQ227_spl
| ~ sQ2_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4455,f128]) ).
fof(f4457,plain,
( ~ sQ227_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4456]) ).
fof(f4458,plain,
( ~ sQ186_spl
| ~ sQ22_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f527,f1208]) ).
fof(f4459,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f462,f1401]) ).
fof(f4460,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4459,f4301]) ).
fof(f4461,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4460]) ).
fof(f4462,plain,
( sQ227_spl
| ~ sQ2_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f462,f1387]) ).
fof(f4466,plain,
( ~ sQ136_spl
| ~ sQ40_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3169,f565,f585,f991]) ).
fof(f4467,plain,
( sQ160_spl
| ~ sQ35_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4424,f549,f568,f1094]) ).
fof(f4468,plain,
( sQ159_spl
| ~ sQ35_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4429,f494,f568,f1090]) ).
fof(f4470,plain,
( ~ sQ226_spl
| ~ sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4362,f481,f461,f1381]) ).
fof(f4471,plain,
( ~ sQ183_spl
| ~ sQ22_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1194]) ).
fof(f4472,plain,
( sQ97_spl
| ~ sQ58_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f644,f828]) ).
fof(f4473,plain,
( sQ97_spl
| ~ sQ58_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f644,f4472]) ).
fof(f4474,plain,
( sQ97_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4473]) ).
fof(f4475,plain,
( sQ97_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4474]) ).
fof(f4477,plain,
( sQ219_spl
| ~ sQ7_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f478,f1351]) ).
fof(f4478,plain,
( ~ sQ220_spl
| ~ sQ7_spl
| op(e3,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f478,f1354]) ).
fof(f4479,plain,
( ~ sQ187_spl
| ~ sQ22_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f527,f1213]) ).
fof(f4480,plain,
( ~ sQ188_spl
| ~ sQ22_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f527,f1217]) ).
fof(f4482,plain,
( ~ sQ171_spl
| ~ sQ28_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f4030,f620,f546,f1141]) ).
fof(f4488,plain,
( ~ sQ180_spl
| ~ sQ25_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f4005,f633,f536,f1180]) ).
fof(f4497,plain,
( ~ sQ194_spl
| ~ sQ7_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f478,f2623]) ).
fof(f4501,plain,
( sQ183_spl
| ~ sQ22_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1195]) ).
fof(f4503,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| e2 = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f759]) ).
fof(f4511,plain,
( sQ79_spl
| ~ sQ22_spl
| e3 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f756]) ).
fof(f4517,plain,
( sQ224_spl
| ~ sQ7_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f1373]) ).
fof(f4518,plain,
( sQ218_spl
| ~ sQ7_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f478,f1347]) ).
fof(f4534,plain,
( ~ sQ186_spl
| ~ sQ22_spl
| sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4458,f483]) ).
fof(f4535,plain,
( ~ sQ186_spl
| ~ sQ22_spl
| sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4534]) ).
fof(f4539,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f4181,f650,f503,f1275]) ).
fof(f4540,plain,
( ~ sQ223_spl
| ~ sQ4_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f4158,f510,f468,f1367]) ).
fof(f4541,plain,
( sQ224_spl
| ~ sQ4_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f4212,f565,f468,f1371]) ).
fof(f4542,plain,
( ~ sQ225_spl
| ~ sQ4_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f4137,f620,f468,f1375]) ).
fof(f4544,plain,
( ~ sQ133_spl
| ~ sQ45_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f4168,f578,f601,f978]) ).
fof(f4545,plain,
( sQ127_spl
| ~ sQ45_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4240,f581,f601,f952]) ).
fof(f4548,plain,
( ~ sQ183_spl
| ~ sQ22_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f4471,f575,f526,f1193]) ).
fof(f4549,plain,
( ~ sQ220_spl
| ~ sQ7_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f4478,f624,f477,f1353]) ).
fof(f4550,plain,
( sQ231_spl
| ~ sQ2_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4382,f646,f461,f1404]) ).
fof(f4551,plain,
( ~ sQ178_spl
| ~ sQ24_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f4151,f510,f533,f1172]) ).
fof(f4553,plain,
( ~ sQ78_spl
| ~ sQ22_spl
| e0 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f752]) ).
fof(f4555,plain,
( sQ230_spl
| ~ sQ2_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4376,f591,f461,f1400]) ).
fof(f4574,plain,
( sQ198_spl
| ~ sQ19_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f517,f1260]) ).
fof(f4575,plain,
( sQ197_spl
| ~ sQ19_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f1256]) ).
fof(f4578,plain,
( sQ190_spl
| ~ sQ19_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f517,f1227]) ).
fof(f4590,plain,
( sQ182_spl
| ~ sQ22_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1191]) ).
fof(f4619,plain,
( ~ sQ196_spl
| ~ sQ19_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f1251]) ).
fof(f4632,plain,
( sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f4479,f1020]) ).
fof(f4633,plain,
( sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| ~ sQ188_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f4480,f4632]) ).
fof(f4634,plain,
( sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| ~ sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4633]) ).
fof(f4635,plain,
( sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f4634]) ).
fof(f4636,plain,
( sQ188_spl
| ~ sQ22_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f527,f1218]) ).
fof(f4637,plain,
( ~ sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f4479,f1019]) ).
fof(f4664,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f534,f4511]) ).
fof(f4667,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4664,f516,f533,f526,f754]) ).
fof(f4674,plain,
( sQ227_spl
| ~ sQ2_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4462,f559,f461,f1385]) ).
fof(f4677,plain,
( ~ sQ160_spl
| ~ sQ32_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3991,f510,f559,f1094]) ).
fof(f4681,plain,
( sQ182_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4590,f536,f526,f1189]) ).
fof(f4689,plain,
( sQ218_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4518,f497,f477,f1345]) ).
fof(f4690,plain,
( sQ219_spl
| ~ sQ7_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4477,f614,f477,f1349]) ).
fof(f4691,plain,
( sQ226_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4438,f481,f461,f1381]) ).
fof(f4692,plain,
( sQ186_spl
| ~ sQ22_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2823,f481,f526,f1207]) ).
fof(f4703,plain,
( sQ187_spl
| ~ sQ22_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f527,f1214]) ).
fof(f4704,plain,
( sQ222_spl
| ~ sQ7_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f478,f1365]) ).
fof(f4706,plain,
( sQ91_spl
| ~ sQ65_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4380,f656,f698,f802]) ).
fof(f4707,plain,
( ~ sQ69_spl
| ~ sQ62_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f657,f715]) ).
fof(f4708,plain,
( ~ sQ70_spl
| ~ sQ62_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f657,f719]) ).
fof(f4711,plain,
( ~ sQ90_spl
| ~ sQ62_spl
| e0 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f657,f800]) ).
fof(f4717,plain,
( ~ sQ182_spl
| ~ sQ22_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1190]) ).
fof(f4718,plain,
( sQ65_spl
| ~ sQ62_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f657,f700]) ).
fof(f4719,plain,
( sQ190_spl
| ~ sQ19_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4578,f546,f516,f1225]) ).
fof(f4720,plain,
( ~ sQ219_spl
| ~ sQ7_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f478,f1350]) ).
fof(f4721,plain,
( ~ sQ218_spl
| ~ sQ7_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f478,f1346]) ).
fof(f4741,plain,
( ~ sQ165_spl
| ~ sQ28_spl
| op(e0,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f547,f1116]) ).
fof(f4747,plain,
( sQ93_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f657,f812]) ).
fof(f4760,plain,
( ~ sQ37_spl
| sQ183_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f4501]) ).
fof(f4761,plain,
( ~ sQ37_spl
| sQ183_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4760]) ).
fof(f4763,plain,
( sQ71_spl
| ~ sQ62_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f657,f724]) ).
fof(f4768,plain,
( sQ179_spl
| ~ sQ25_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f537,f1178]) ).
fof(f4803,plain,
( sQ91_spl
| ~ sQ62_spl
| e2 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f657,f804]) ).
fof(f4804,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ59_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f647,f4803]) ).
fof(f4805,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ59_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f657,f4804]) ).
fof(f4806,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4805]) ).
fof(f4807,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4806]) ).
fof(f4808,plain,
( ~ sQ91_spl
| ~ sQ62_spl
| e2 = op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f657,f803]) ).
fof(f4829,plain,
( sQ192_spl
| ~ sQ19_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f517,f1235]) ).
fof(f4830,plain,
( sQ192_spl
| ~ sQ19_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f615,f4829]) ).
fof(f4831,plain,
( sQ192_spl
| ~ sQ19_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4830]) ).
fof(f4832,plain,
( sQ192_spl
| ~ sQ19_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4831]) ).
fof(f4833,plain,
( ~ sQ192_spl
| ~ sQ19_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f1234]) ).
fof(f4835,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| e0 = op(e2,op(e2,e0)) ),
inference(backward_demodulation,[status(thm)],[f586,f791]) ).
fof(f4839,plain,
( sQ225_spl
| ~ sQ7_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f478,f1377]) ).
fof(f4852,plain,
( sQ226_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f456,f1383]) ).
fof(f4854,plain,
( sQ229_spl
| ~ sQ0_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f456,f1398]) ).
fof(f4861,plain,
( sQ226_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4852,f455,f1381]) ).
fof(f4867,plain,
( sQ173_spl
| ~ sQ24_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4199,f513,f533,f1150]) ).
fof(f4868,plain,
( sQ198_spl
| ~ sQ18_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3844,f646,f513,f1258]) ).
fof(f4872,plain,
( sQ182_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4085,f549,f529,f1189]) ).
fof(f4875,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2460,f611,f650]) ).
fof(f4879,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4147,f481,f533]) ).
fof(f4881,plain,
( ~ sQ174_spl
| ~ sQ24_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f4195,f474,f533,f1154]) ).
fof(f4884,plain,
( sQ207_spl
| ~ sQ14_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3319,f646,f500,f1297]) ).
fof(f4891,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f647,f641]) ).
fof(f4892,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4891,f130]) ).
fof(f4893,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4892]) ).
fof(f4894,plain,
( ~ sQ182_spl
| ~ sQ22_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4717,f536,f526,f1189]) ).
fof(f4895,plain,
( ~ sQ187_spl
| ~ sQ22_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4479,f591,f526,f1212]) ).
fof(f4897,plain,
( ~ sQ142_spl
| ~ sQ187_spl
| ~ sQ22_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4637,f646,f526,f1212,f1018]) ).
fof(f4898,plain,
( sQ225_spl
| ~ sQ7_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4839,f659,f477,f1375]) ).
fof(f4900,plain,
( sQ71_spl
| ~ sQ61_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3803,f578,f653,f722]) ).
fof(f4901,plain,
( sQ86_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f4343,f588,f578,f782]) ).
fof(f4903,plain,
( sQ86_spl
| ~ sQ41_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f3226,f1027,f588,f782]) ).
fof(f4905,plain,
( sQ229_spl
| ~ sQ0_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4854,f510,f455,f1396]) ).
fof(f4912,plain,
( ~ sQ162_spl
| ~ sQ35_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1103]) ).
fof(f4914,plain,
( ~ sQ61_spl
| ~ sQ162_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f4912,f654]) ).
fof(f4915,plain,
( ~ sQ61_spl
| ~ sQ162_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4914,f130]) ).
fof(f4916,plain,
( ~ sQ61_spl
| ~ sQ162_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4915]) ).
fof(f4917,plain,
( sQ162_spl
| ~ sQ35_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1104]) ).
fof(f4918,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1091]) ).
fof(f4919,plain,
( sQ161_spl
| ~ sQ35_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f569,f1100]) ).
fof(f4922,plain,
( ~ sQ168_spl
| ~ sQ66_spl
| ~ sQ61_spl
| op(e0,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f2266,f1130]) ).
fof(f4929,plain,
( ~ sQ168_spl
| ~ sQ66_spl
| ~ sQ61_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f4922,f494,f653,f702,f1129]) ).
fof(f4970,plain,
( sQ220_spl
| ~ sQ5_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f472,f1355]) ).
fof(f4971,plain,
( sQ220_spl
| ~ sQ5_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4970,f520,f471,f1353]) ).
fof(f4972,plain,
( ~ sQ220_spl
| ~ sQ5_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f472,f1354]) ).
fof(f4980,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f472,f1350]) ).
fof(f4994,plain,
( sQ140_spl
| ~ sQ41_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f589,f1011]) ).
fof(f5000,plain,
( ~ sQ156_spl
| ~ sQ35_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f569,f1078]) ).
fof(f5006,plain,
( ~ sQ210_spl
| ~ sQ11_spl
| op(e3,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f491,f1311]) ).
fof(f5009,plain,
( ~ sQ88_spl
| ~ sQ41_spl
| e0 = op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f791]) ).
fof(f5018,plain,
( ~ sQ88_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e0 = op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f579,f5009]) ).
fof(f5023,plain,
( ~ sQ88_spl
| ~ sQ41_spl
| ~ sQ38_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f5018,f585,f578,f588,f790]) ).
fof(f5032,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f4980,f81]) ).
fof(f5042,plain,
( ~ sQ56_spl
| sQ155_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f4447]) ).
fof(f5043,plain,
( ~ sQ56_spl
| sQ155_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5042]) ).
fof(f5044,plain,
( ~ sQ154_spl
| ~ sQ35_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1070]) ).
fof(f5045,plain,
( ~ sQ155_spl
| ~ sQ35_spl
| op(e3,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1074]) ).
fof(f5051,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f4980,f110]) ).
fof(f5062,plain,
( sQ231_spl
| ~ sQ0_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f456,f1406]) ).
fof(f5099,plain,
( sQ230_spl
| ~ sQ0_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f456,f1402]) ).
fof(f5104,plain,
( sQ173_spl
| ~ sQ26_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f540,f1152]) ).
fof(f5105,plain,
( sQ173_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f540,f5104]) ).
fof(f5106,plain,
( sQ173_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5105]) ).
fof(f5107,plain,
( sQ173_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5106]) ).
fof(f5108,plain,
( ~ sQ190_spl
| ~ sQ18_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2955,f533,f513,f1225]) ).
fof(f5110,plain,
( ~ sQ165_spl
| ~ sQ28_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f4741,f477,f546,f1115]) ).
fof(f5112,plain,
( ~ sQ156_spl
| ~ sQ32_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3918,f461,f559,f1077]) ).
fof(f5113,plain,
( ~ sQ159_spl
| ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4008,f455,f559,f1090]) ).
fof(f5121,plain,
( ~ sQ155_spl
| ~ sQ35_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f5045,f637,f568,f1073]) ).
fof(f5122,plain,
( sQ65_spl
| ~ sQ62_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4718,f646,f656,f698]) ).
fof(f5124,plain,
( ~ sQ91_spl
| ~ sQ62_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f4808,f826,f656,f802]) ).
fof(f5125,plain,
( ~ sQ90_spl
| ~ sQ62_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f4711,f637,f656,f799]) ).
fof(f5126,plain,
( sQ152_spl
| ~ sQ38_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4228,f646,f578,f1060]) ).
fof(f5129,plain,
( sQ141_spl
| ~ sQ41_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f589,f1015]) ).
fof(f5130,plain,
( ~ sQ69_spl
| ~ sQ62_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4707,f481,f656,f714]) ).
fof(f5131,plain,
( ~ sQ70_spl
| ~ sQ62_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4708,f536,f656,f718]) ).
fof(f5132,plain,
( sQ84_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f589,f777]) ).
fof(f5133,plain,
( sQ85_spl
| ~ sQ41_spl
| e3 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f780]) ).
fof(f5134,plain,
( ~ sQ137_spl
| ~ sQ41_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f996]) ).
fof(f5142,plain,
( sQ136_spl
| ~ sQ41_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f589,f993]) ).
fof(f5144,plain,
( sQ26_spl
| ~ sQ137_spl
| ~ sQ41_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f5134,f541]) ).
fof(f5145,plain,
( sQ26_spl
| ~ sQ137_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5144]) ).
fof(f5146,plain,
( sQ26_spl
| ~ sQ137_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5145]) ).
fof(f5161,plain,
( sQ142_spl
| ~ sQ41_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f589,f1020]) ).
fof(f5163,plain,
( sQ183_spl
| ~ sQ23_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f530,f1195]) ).
fof(f5165,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| e1 = op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f783]) ).
fof(f5170,plain,
( sQ170_spl
| ~ sQ182_spl
| ~ sQ23_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f4061,f1139]) ).
fof(f5171,plain,
( sQ170_spl
| ~ sQ182_spl
| ~ sQ23_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5170,f578,f529,f1189,f1137]) ).
fof(f5172,plain,
( ~ sQ170_spl
| ~ sQ182_spl
| ~ sQ23_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f4061,f1138]) ).
fof(f5173,plain,
( ~ sQ170_spl
| ~ sQ182_spl
| ~ sQ23_spl
| sQ136_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5172,f5142]) ).
fof(f5174,plain,
( ~ sQ170_spl
| ~ sQ182_spl
| ~ sQ23_spl
| sQ136_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5173]) ).
fof(f5175,plain,
( sQ162_spl
| ~ sQ32_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3432,f620,f559,f1102]) ).
fof(f5179,plain,
( ~ sQ117_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f4094,f650,f620,f910]) ).
fof(f5195,plain,
( sQ93_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4747,f640,f656,f810]) ).
fof(f5198,plain,
( ~ sQ75_spl
| ~ sQ1_spl
| e2 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f459,f739]) ).
fof(f5201,plain,
( ~ sQ175_spl
| ~ sQ24_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f4189,f484,f533,f1158]) ).
fof(f5203,plain,
( ~ sQ169_spl
| ~ sQ182_spl
| ~ sQ23_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f4061,f1134]) ).
fof(f5204,plain,
( ~ sQ169_spl
| ~ sQ182_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f5203]) ).
fof(f5205,plain,
( ~ sQ169_spl
| ~ sQ182_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5204,f130]) ).
fof(f5206,plain,
( ~ sQ169_spl
| ~ sQ182_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5207,plain,
( ~ sQ186_spl
| ~ sQ23_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f530,f1208]) ).
fof(f5208,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| e2 = op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f530,f759]) ).
fof(f5209,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ182_spl
| e2 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f4061,f5208]) ).
fof(f5210,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ182_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f530,f5209]) ).
fof(f5211,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5210,f131]) ).
fof(f5212,plain,
( ~ sQ80_spl
| ~ sQ23_spl
| ~ sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f5211]) ).
fof(f5213,plain,
( ~ sQ222_spl
| ~ sQ218_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f1346,f1364]) ).
fof(f5214,plain,
( ~ sQ222_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5213,f126]) ).
fof(f5215,plain,
( ~ sQ222_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f5214]) ).
fof(f5222,plain,
( sQ218_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4143,f458,f468,f1345]) ).
fof(f5233,plain,
( ~ sQ210_spl
| ~ sQ11_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f5006,f617,f490,f1310]) ).
fof(f5234,plain,
( ~ sQ227_spl
| ~ sQ2_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f4454,f559,f461,f1385]) ).
fof(f5236,plain,
( sQ71_spl
| ~ sQ62_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4763,f591,f656,f722]) ).
fof(f5237,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f4980,f510,f471,f1349]) ).
fof(f5238,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5051,f549,f471,f1349]) ).
fof(f5239,plain,
( ~ sQ219_spl
| ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f5032,f562,f471,f1349]) ).
fof(f5240,plain,
( sQ99_spl
| ~ sQ57_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4101,f542,f640,f834]) ).
fof(f5241,plain,
( ~ sQ218_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f4721,f497,f477,f1345]) ).
fof(f5242,plain,
( sQ222_spl
| ~ sQ7_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4704,f494,f477,f1363]) ).
fof(f5245,plain,
( ~ sQ154_spl
| ~ sQ35_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f5044,f598,f568,f1069]) ).
fof(f5295,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f103]) ).
fof(f5306,plain,
( sQ66_spl
| ~ sQ62_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f657,f704]) ).
fof(f5333,plain,
( ~ sQ137_spl
| ~ sQ40_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f586,f996]) ).
fof(f5334,plain,
( ~ sQ137_spl
| ~ sQ40_spl
| sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5333,f489]) ).
fof(f5335,plain,
( ~ sQ137_spl
| ~ sQ40_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f5334]) ).
fof(f5367,plain,
( ~ sQ200_spl
| ~ sQ159_spl
| ~ sQ35_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f4918,f1268]) ).
fof(f5368,plain,
( ~ sQ200_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f462,f5367]) ).
fof(f5369,plain,
( ~ sQ200_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5368,f131]) ).
fof(f5370,plain,
( ~ sQ200_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5369]) ).
fof(f5371,plain,
( ~ sQ148_spl
| ~ sQ38_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f579,f1045]) ).
fof(f5373,plain,
( ~ sQ205_spl
| ~ sQ159_spl
| ~ sQ35_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f4918,f1290]) ).
fof(f5374,plain,
( ~ sQ229_spl
| ~ sQ2_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f462,f1397]) ).
fof(f5375,plain,
( ~ sQ229_spl
| ~ sQ2_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5374,f538]) ).
fof(f5376,plain,
( ~ sQ229_spl
| ~ sQ2_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f5375]) ).
fof(f5377,plain,
( ~ sQ134_spl
| ~ sQ45_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f602,f983]) ).
fof(f5378,plain,
( ~ sQ134_spl
| ~ sQ45_spl
| sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5377,f635]) ).
fof(f5379,plain,
( ~ sQ134_spl
| ~ sQ45_spl
| sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f5378]) ).
fof(f5381,plain,
( ~ sQ127_spl
| ~ sQ45_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f602,f953]) ).
fof(f5382,plain,
( ~ sQ127_spl
| ~ sQ45_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f579,f5381]) ).
fof(f5383,plain,
( ~ sQ127_spl
| ~ sQ45_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5382,f131]) ).
fof(f5384,plain,
( ~ sQ127_spl
| ~ sQ45_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5383]) ).
fof(f5385,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5295,f487,f461]) ).
fof(f5392,plain,
( ~ sQ74_spl
| ~ sQ2_spl
| e2 = op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f462,f735]) ).
fof(f5393,plain,
( ~ sQ204_spl
| ~ sQ159_spl
| ~ sQ35_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f4918,f1286]) ).
fof(f5394,plain,
( ~ sQ204_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f5393]) ).
fof(f5395,plain,
( ~ sQ204_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5394,f127]) ).
fof(f5396,plain,
( ~ sQ204_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5395]) ).
fof(f5401,plain,
( sQ196_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3228,f536,f513,f1250]) ).
fof(f5434,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f4918,f104]) ).
fof(f5436,plain,
( sQ179_spl
| ~ sQ25_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4768,f578,f536,f1176]) ).
fof(f5444,plain,
( sQ182_spl
| ~ sQ20_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f521,f1191]) ).
fof(f5445,plain,
( sQ121_spl
| ~ sQ159_spl
| ~ sQ35_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f4918,f929]) ).
fof(f5446,plain,
( sQ137_spl
| ~ sQ40_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f586,f997]) ).
fof(f5449,plain,
( sQ141_spl
| ~ sQ40_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f586,f1015]) ).
fof(f5451,plain,
( sQ90_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f657,f801]) ).
fof(f5452,plain,
( sQ69_spl
| ~ sQ62_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f657,f716]) ).
fof(f5478,plain,
( sQ140_spl
| ~ sQ40_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f586,f1011]) ).
fof(f5497,plain,
( sQ165_spl
| ~ sQ31_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f556,f1117]) ).
fof(f5520,plain,
( ~ sQ152_spl
| ~ sQ38_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f579,f1061]) ).
fof(f5529,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f488,f90]) ).
fof(f5547,plain,
( sQ117_spl
| ~ sQ48_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f612,f912]) ).
fof(f5548,plain,
( sQ117_spl
| ~ sQ48_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f612,f5547]) ).
fof(f5549,plain,
( sQ117_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5548]) ).
fof(f5550,plain,
( sQ117_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5549]) ).
fof(f5551,plain,
( sQ140_spl
| ~ sQ40_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5478,f455,f585,f1009]) ).
fof(f5561,plain,
( sQ161_spl
| ~ sQ35_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4919,f604,f568,f1098]) ).
fof(f5566,plain,
( sQ206_spl
| ~ sQ15_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4029,f604,f503,f1293]) ).
fof(f5581,plain,
( ~ sQ194_spl
| ~ sQ18_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f514,f1243]) ).
fof(f5584,plain,
( ~ sQ160_spl
| ~ sQ35_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f569,f1095]) ).
fof(f5585,plain,
( ~ sQ141_spl
| ~ sQ40_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f586,f1014]) ).
fof(f5589,plain,
( sQ156_spl
| ~ sQ35_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f569,f1079]) ).
fof(f5593,plain,
( ~ sQ140_spl
| ~ sQ40_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f586,f1010]) ).
fof(f5594,plain,
( ~ sQ161_spl
| ~ sQ35_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f569,f1099]) ).
fof(f5595,plain,
( sQ79_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f514,f3363]) ).
fof(f5597,plain,
( sQ86_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f569,f3031]) ).
fof(f5604,plain,
( ~ sQ71_spl
| ~ sQ60_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f651,f723]) ).
fof(f5605,plain,
( ~ sQ71_spl
| ~ sQ60_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f5604,f565,f650,f722]) ).
fof(f5614,plain,
( sQ154_spl
| ~ sQ35_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f569,f1071]) ).
fof(f5615,plain,
( ~ sQ27_spl
| sQ79_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f5595]) ).
fof(f5616,plain,
( ~ sQ27_spl
| sQ79_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5615]) ).
fof(f5618,plain,
( ~ sQ186_spl
| ~ sQ23_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f5207,f494,f529,f1207]) ).
fof(f5621,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1798,f455,f507]) ).
fof(f5624,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5529,f539,f487]) ).
fof(f5625,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f3468]) ).
fof(f5626,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5625]) ).
fof(f5627,plain,
( ~ sQ75_spl
| ~ sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f5198,f474,f458,f738]) ).
fof(f5629,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f5163,f627,f529,f1193]) ).
fof(f5630,plain,
( sQ154_spl
| ~ sQ35_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5614,f598,f568,f1069]) ).
fof(f5632,plain,
( sQ140_spl
| ~ sQ41_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4994,f468,f588,f1009]) ).
fof(f5634,plain,
( ~ sQ152_spl
| ~ sQ38_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f5520,f646,f578,f1060]) ).
fof(f5635,plain,
( ~ sQ148_spl
| ~ sQ38_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f5371,f539,f578,f1044]) ).
fof(f5636,plain,
( ~ sQ158_spl
| ~ sQ35_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1087]) ).
fof(f5637,plain,
( ~ sQ220_spl
| ~ sQ5_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4972,f520,f471,f1353]) ).
fof(f5645,plain,
( sQ134_spl
| ~ sQ161_spl
| ~ sQ35_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f5594,f984]) ).
fof(f5659,plain,
( ~ sQ161_spl
| ~ sQ35_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f5594,f118]) ).
fof(f5677,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f534,f94]) ).
fof(f5689,plain,
( ~ sQ38_spl
| ~ sQ161_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f579,f5659]) ).
fof(f5690,plain,
( ~ sQ38_spl
| ~ sQ161_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5689]) ).
fof(f5696,plain,
( ~ sQ202_spl
| ~ sQ14_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f501,f1276]) ).
fof(f5697,plain,
( ~ sQ200_spl
| ~ sQ14_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f501,f1268]) ).
fof(f5707,plain,
( sQ165_spl
| ~ sQ29_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f550,f1117]) ).
fof(f5708,plain,
( sQ165_spl
| ~ sQ29_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f530,f5707]) ).
fof(f5709,plain,
( sQ165_spl
| ~ sQ29_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5708]) ).
fof(f5710,plain,
( sQ165_spl
| ~ sQ29_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f5709]) ).
fof(f5711,plain,
( ~ sQ164_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f550,f1112]) ).
fof(f5712,plain,
( ~ sQ165_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f550,f1116]) ).
fof(f5728,plain,
( ~ sQ101_spl
| ~ sQ58_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f644,f844]) ).
fof(f5729,plain,
( ~ sQ101_spl
| ~ sQ58_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5728,f4245]) ).
fof(f5730,plain,
( ~ sQ101_spl
| ~ sQ58_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5729]) ).
fof(f5731,plain,
( sQ101_spl
| ~ sQ58_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f644,f845]) ).
fof(f5732,plain,
( ~ sQ111_spl
| ~ sQ29_spl
| e1 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f550,f886]) ).
fof(f5733,plain,
( ~ sQ102_spl
| ~ sQ58_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f644,f848]) ).
fof(f5734,plain,
( ~ sQ102_spl
| ~ sQ58_spl
| sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5733,f483]) ).
fof(f5735,plain,
( ~ sQ102_spl
| ~ sQ58_spl
| sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f5734]) ).
fof(f5736,plain,
( ~ sQ103_spl
| ~ sQ58_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f644,f852]) ).
fof(f5737,plain,
( ~ sQ103_spl
| ~ sQ58_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f534,f5736]) ).
fof(f5738,plain,
( ~ sQ103_spl
| ~ sQ58_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5737,f126]) ).
fof(f5739,plain,
( ~ sQ103_spl
| ~ sQ58_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f5738]) ).
fof(f5740,plain,
( ~ sQ104_spl
| ~ sQ58_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f644,f856]) ).
fof(f5741,plain,
( ~ sQ104_spl
| ~ sQ58_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f5740]) ).
fof(f5742,plain,
( ~ sQ104_spl
| ~ sQ58_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5741,f129]) ).
fof(f5743,plain,
( ~ sQ104_spl
| ~ sQ58_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5742]) ).
fof(f5744,plain,
( ~ sQ105_spl
| ~ sQ58_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f644,f860]) ).
fof(f5745,plain,
( ~ sQ105_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f644,f5744]) ).
fof(f5746,plain,
( ~ sQ105_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5745,f131]) ).
fof(f5747,plain,
( ~ sQ105_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5746]) ).
fof(f5753,plain,
( sQ164_spl
| ~ sQ29_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f550,f1113]) ).
fof(f5754,plain,
( sQ164_spl
| ~ sQ29_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f530,f5753]) ).
fof(f5755,plain,
( sQ164_spl
| ~ sQ29_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5754]) ).
fof(f5756,plain,
( sQ164_spl
| ~ sQ29_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f5755]) ).
fof(f5757,plain,
( sQ170_spl
| ~ sQ29_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f550,f1139]) ).
fof(f5786,plain,
( sQ168_spl
| ~ sQ29_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f550,f1131]) ).
fof(f5791,plain,
( sQ171_spl
| ~ sQ29_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f550,f1143]) ).
fof(f5798,plain,
( ~ sQ93_spl
| ~ sQ63_spl
| e1 = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f660,f811]) ).
fof(f5799,plain,
( ~ sQ93_spl
| ~ sQ63_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f660,f5798]) ).
fof(f5800,plain,
( ~ sQ93_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5799,f130]) ).
fof(f5801,plain,
( ~ sQ93_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5800]) ).
fof(f5802,plain,
( ~ sQ188_spl
| ~ sQ22_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4480,f646,f526,f1216]) ).
fof(f5803,plain,
( sQ171_spl
| ~ sQ29_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5791,f633,f549,f1141]) ).
fof(f5804,plain,
( ~ sQ165_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f5712,f529,f549,f1115]) ).
fof(f5805,plain,
( ~ sQ164_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f5711,f529,f549,f1111]) ).
fof(f5807,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ156_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3504,f5589]) ).
fof(f5808,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ156_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5807]) ).
fof(f5809,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3526,f510,f650,f718]) ).
fof(f5811,plain,
( ~ sQ162_spl
| ~ sQ35_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f4912,f659,f568,f1102]) ).
fof(f5812,plain,
( ~ sQ111_spl
| ~ sQ30_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f2278,f630,f552,f885]) ).
fof(f5813,plain,
( sQ174_spl
| ~ sQ24_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4200,f474,f533,f1154]) ).
fof(f5814,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f569,f563]) ).
fof(f5815,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5814,f130]) ).
fof(f5816,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5815]) ).
fof(f5818,plain,
( ~ sQ74_spl
| ~ sQ226_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1382,f735]) ).
fof(f5819,plain,
( ~ sQ74_spl
| ~ sQ226_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5818,f463]) ).
fof(f5820,plain,
( ~ sQ74_spl
| ~ sQ226_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5819]) ).
fof(f5821,plain,
( sQ158_spl
| ~ sQ192_spl
| ~ sQ18_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2947,f484,f513,f1233,f1086]) ).
fof(f5822,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4127,f455,f468]) ).
fof(f5824,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5786,f468,f549,f1129]) ).
fof(f5825,plain,
( sQ91_spl
| ~ sQ62_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4803,f826,f656,f802]) ).
fof(f5826,plain,
( sQ231_spl
| ~ sQ0_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f5062,f620,f455,f1404]) ).
fof(f5827,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5677,f637,f533]) ).
fof(f5829,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5451,f637,f656,f799]) ).
fof(f5830,plain,
( sQ74_spl
| ~ sQ226_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f1382,f736]) ).
fof(f5831,plain,
( sQ86_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f5597,f601,f568,f585,f782]) ).
fof(f5832,plain,
( ~ sQ158_spl
| ~ sQ35_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f5636,f490,f568,f1086]) ).
fof(f5833,plain,
( ~ sQ160_spl
| ~ sQ35_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f5584,f549,f568,f1094]) ).
fof(f5834,plain,
( sQ182_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5444,f510,f520,f1189]) ).
fof(f5835,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3499,f620,f650,f698]) ).
fof(f5836,plain,
( sQ141_spl
| ~ sQ40_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5449,f510,f585,f1013]) ).
fof(f5837,plain,
( sQ137_spl
| ~ sQ40_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5446,f487,f585,f995]) ).
fof(f5839,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3194,f523,f575]) ).
fof(f5840,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f3948,f500,f637,f830]) ).
fof(f5841,plain,
( sQ227_spl
| ~ sQ3_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2548,f611,f464,f1385]) ).
fof(f5842,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2635,f578,f653,f722]) ).
fof(f5902,plain,
( sQ148_spl
| ~ sQ24_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f534,f1046]) ).
fof(f5933,plain,
( sQ231_spl
| ~ sQ3_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f465,f1406]) ).
fof(f5936,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f654,f98]) ).
fof(f5979,plain,
( sQ137_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f592,f997]) ).
fof(f5980,plain,
( sQ137_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f592,f5979]) ).
fof(f5981,plain,
( sQ137_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5980]) ).
fof(f5982,plain,
( sQ137_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5981]) ).
fof(f5988,plain,
( ~ sQ229_spl
| ~ sQ1_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f4001,f523,f458,f1396]) ).
fof(f5993,plain,
( ~ sQ156_spl
| ~ sQ35_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f5000,f617,f568,f1077]) ).
fof(f5998,plain,
( sQ134_spl
| ~ sQ161_spl
| ~ sQ35_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5645,f646,f568,f1098,f982]) ).
fof(f6000,plain,
( sQ121_spl
| ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f5445,f611,f568,f1090,f927]) ).
fof(f6001,plain,
( ~ sQ205_spl
| ~ sQ159_spl
| ~ sQ35_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f5373,f510,f568,f1090,f1289]) ).
fof(f6013,plain,
( ~ sQ140_spl
| ~ sQ40_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5593,f455,f585,f1009]) ).
fof(f6026,plain,
( ~ sQ196_spl
| ~ sQ18_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f514,f1251]) ).
fof(f6029,plain,
( sQ188_spl
| ~ sQ22_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4636,f646,f526,f1216]) ).
fof(f6030,plain,
( ~ sQ111_spl
| ~ sQ28_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3979,f624,f546,f885]) ).
fof(f6062,plain,
( sQ73_spl
| ~ sQ1_spl
| e3 != op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f459,f732]) ).
fof(f6081,plain,
( sQ121_spl
| ~ sQ48_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f612,f929]) ).
fof(f6124,plain,
( ~ sQ224_spl
| ~ sQ4_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f469,f1372]) ).
fof(f6126,plain,
( sQ220_spl
| ~ sQ4_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f469,f1355]) ).
fof(f6132,plain,
( sQ220_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6126,f468,f1353]) ).
fof(f6135,plain,
( sQ187_spl
| ~ sQ22_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4703,f591,f526,f1212]) ).
fof(f6141,plain,
( ~ sQ111_spl
| ~ sQ29_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f5732,f627,f549,f885]) ).
fof(f6147,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| e3 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f771]) ).
fof(f6152,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f5165,f1027,f588,f782]) ).
fof(f6153,plain,
( sQ142_spl
| ~ sQ41_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5161,f633,f588,f1018]) ).
fof(f6154,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5132,f572,f588,f775]) ).
fof(f6158,plain,
( sQ205_spl
| ~ sQ15_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4109,f549,f503,f1289]) ).
fof(f6171,plain,
( ~ sQ2_spl
| sQ74_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f5830]) ).
fof(f6172,plain,
( ~ sQ2_spl
| sQ74_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f6171]) ).
fof(f6208,plain,
( sQ175_spl
| ~ sQ27_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f543,f1160]) ).
fof(f6228,plain,
( sQ197_spl
| ~ sQ16_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f508,f1256]) ).
fof(f6305,plain,
( ~ sQ174_spl
| ~ sQ27_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f543,f1155]) ).
fof(f6306,plain,
( ~ sQ174_spl
| ~ sQ27_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6305,f4421]) ).
fof(f6307,plain,
( ~ sQ174_spl
| ~ sQ27_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f6306]) ).
fof(f6308,plain,
( sQ174_spl
| ~ sQ27_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f543,f1156]) ).
fof(f6309,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f543,f4503]) ).
fof(f6310,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ178_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1877,f6309]) ).
fof(f6311,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6310,f129]) ).
fof(f6312,plain,
( ~ sQ80_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f6311]) ).
fof(f6330,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f644,f835]) ).
fof(f6331,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f589,f6330]) ).
fof(f6332,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6331,f130]) ).
fof(f6333,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f6332]) ).
fof(f6361,plain,
( sQ151_spl
| ~ sQ36_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f573,f1058]) ).
fof(f6386,plain,
( ~ sQ209_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f482,f1307]) ).
fof(f6412,plain,
( ~ sQ101_spl
| ~ sQ161_spl
| ~ sQ35_spl
| e2 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f5594,f844]) ).
fof(f6418,plain,
( ~ sQ192_spl
| ~ sQ16_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f508,f1234]) ).
fof(f6419,plain,
( ~ sQ192_spl
| ~ sQ16_spl
| ~ sQ2_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f462,f6418]) ).
fof(f6420,plain,
( ~ sQ192_spl
| ~ sQ16_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6419,f129]) ).
fof(f6421,plain,
( ~ sQ192_spl
| ~ sQ16_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6420]) ).
fof(f6422,plain,
( sQ192_spl
| ~ sQ16_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f508,f1235]) ).
fof(f6427,plain,
( sQ107_spl
| ~ sQ55_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f634,f870]) ).
fof(f6429,plain,
( sQ109_spl
| ~ sQ55_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f634,f878]) ).
fof(f6430,plain,
( sQ109_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f634,f6429]) ).
fof(f6431,plain,
( sQ109_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6430]) ).
fof(f6432,plain,
( sQ109_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6431]) ).
fof(f6434,plain,
( sQ156_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f2910,f1079]) ).
fof(f6436,plain,
( sQ154_spl
| ~ sQ192_spl
| ~ sQ18_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f2910,f1071]) ).
fof(f6437,plain,
( sQ156_spl
| ~ sQ192_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f6434,f513,f1233,f1077]) ).
fof(f6438,plain,
( ~ sQ192_spl
| ~ sQ16_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f6418,f458,f507,f1233]) ).
fof(f6439,plain,
( ~ sQ224_spl
| ~ sQ4_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f6124,f565,f468,f1371]) ).
fof(f6450,plain,
( sQ230_spl
| ~ sQ3_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f465,f1402]) ).
fof(f6455,plain,
( ~ sQ205_spl
| ~ sQ14_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f501,f1290]) ).
fof(f6456,plain,
( ~ sQ206_spl
| ~ sQ14_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f501,f1294]) ).
fof(f6457,plain,
( ~ sQ205_spl
| ~ sQ14_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f6455,f536,f500,f1289]) ).
fof(f6473,plain,
( ~ sQ84_spl
| ~ sQ42_spl
| e0 = op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f592,f776]) ).
fof(f6477,plain,
( ~ sQ84_spl
| ~ sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f6473,f585,f591,f775]) ).
fof(f6486,plain,
( sQ155_spl
| ~ sQ33_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f563,f1075]) ).
fof(f6487,plain,
( sQ159_spl
| ~ sQ33_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f563,f1092]) ).
fof(f6492,plain,
( sQ159_spl
| ~ sQ33_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6487,f468,f562,f1090]) ).
fof(f6494,plain,
( sQ76_spl
| ~ sQ3_spl
| e1 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f465,f744]) ).
fof(f6495,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f501,f6494]) ).
fof(f6496,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f485,f6495]) ).
fof(f6497,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6496]) ).
fof(f6498,plain,
( sQ76_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f6497]) ).
fof(f6503,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f5452,f481,f656,f714]) ).
fof(f6510,plain,
( sQ133_spl
| ~ sQ44_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f599,f980]) ).
fof(f6512,plain,
( sQ128_spl
| ~ sQ44_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f599,f958]) ).
fof(f6515,plain,
( sQ127_spl
| ~ sQ44_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f599,f954]) ).
fof(f6561,plain,
( ~ sQ171_spl
| ~ sQ178_spl
| ~ sQ27_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f1877,f1142]) ).
fof(f6563,plain,
( ~ sQ171_spl
| ~ sQ178_spl
| ~ sQ27_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f6561,f633,f542,f1172,f1141]) ).
fof(f6633,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f582,f89]) ).
fof(f6690,plain,
( sQ151_spl
| ~ sQ39_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f582,f1058]) ).
fof(f6692,plain,
( ~ sQ57_spl
| sQ175_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f6208]) ).
fof(f6693,plain,
( ~ sQ57_spl
| sQ175_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6692]) ).
fof(f6695,plain,
( sQ161_spl
| ~ sQ33_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f563,f1100]) ).
fof(f6699,plain,
( sQ160_spl
| ~ sQ33_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f563,f1096]) ).
fof(f6715,plain,
( ~ sQ108_spl
| ~ sQ52_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f625,f873]) ).
fof(f6716,plain,
( ~ sQ108_spl
| ~ sQ52_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f6715,f497,f624,f872]) ).
fof(f6721,plain,
( ~ sQ209_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f6386,f461,f481,f1306]) ).
fof(f6726,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f599,f3851]) ).
fof(f6743,plain,
( ~ sQ101_spl
| ~ sQ84_spl
| ~ sQ43_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f3776,f637,f594,f775,f843]) ).
fof(f6750,plain,
( ~ sQ183_spl
| ~ sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2571,f471,f520,f1193]) ).
fof(f6762,plain,
( ~ sQ192_spl
| ~ sQ19_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4833,f614,f516,f1233]) ).
fof(f6771,plain,
( sQ133_spl
| ~ sQ44_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f6510,f565,f598,f978]) ).
fof(f6781,plain,
( ~ sQ131_spl
| ~ sQ44_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f599,f971]) ).
fof(f6782,plain,
( ~ sQ132_spl
| ~ sQ44_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f599,f975]) ).
fof(f6783,plain,
( ~ sQ134_spl
| ~ sQ44_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f599,f983]) ).
fof(f6785,plain,
( sQ197_spl
| ~ sQ19_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4575,f604,f516,f1254]) ).
fof(f6796,plain,
( sQ105_spl
| ~ sQ57_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f641,f861]) ).
fof(f6798,plain,
( sQ105_spl
| ~ sQ57_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f6796,f633,f640,f859]) ).
fof(f6803,plain,
( sQ121_spl
| ~ sQ48_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f6081,f494,f611,f927]) ).
fof(f6805,plain,
( sQ66_spl
| ~ sQ62_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f5306,f607,f656,f702]) ).
fof(f6809,plain,
( ~ sQ86_spl
| ~ sQ136_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f992,f783]) ).
fof(f6824,plain,
( ~ sQ83_spl
| ~ sQ20_spl
| e3 = op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f521,f771]) ).
fof(f6836,plain,
( sQ80_spl
| ~ sQ20_spl
| e2 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f521,f760]) ).
fof(f6838,plain,
( sQ80_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f517,f6836]) ).
fof(f6861,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f475,f6062]) ).
fof(f6865,plain,
( sQ222_spl
| ~ sQ6_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f475,f1365]) ).
fof(f6866,plain,
( sQ224_spl
| ~ sQ6_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f475,f1373]) ).
fof(f6867,plain,
( sQ73_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f6861,f490,f474,f458,f730]) ).
fof(f6887,plain,
( ~ sQ101_spl
| ~ sQ57_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f641,f844]) ).
fof(f6889,plain,
( ~ sQ197_spl
| ~ sQ19_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f517,f1255]) ).
fof(f6919,plain,
( sQ223_spl
| ~ sQ6_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f475,f1369]) ).
fof(f6923,plain,
( sQ177_spl
| ~ sQ26_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f540,f1170]) ).
fof(f6926,plain,
( sQ180_spl
| ~ sQ26_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f540,f1182]) ).
fof(f6929,plain,
( sQ177_spl
| ~ sQ26_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6923,f481,f539,f1168]) ).
fof(f6932,plain,
( ~ sQ177_spl
| ~ sQ26_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f540,f1169]) ).
fof(f6940,plain,
( sQ85_spl
| ~ sQ136_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f992,f780]) ).
fof(f6948,plain,
( ~ sQ86_spl
| ~ sQ136_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6809,f2047]) ).
fof(f6949,plain,
( ~ sQ86_spl
| ~ sQ136_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f6948]) ).
fof(f6953,plain,
( ~ sQ43_spl
| sQ85_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f6940]) ).
fof(f6954,plain,
( ~ sQ43_spl
| sQ85_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f6953]) ).
fof(f6955,plain,
( ~ sQ85_spl
| ~ sQ136_spl
| e3 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f992,f779]) ).
fof(f6961,plain,
( sQ155_spl
| ~ sQ32_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f560,f1075]) ).
fof(f6969,plain,
( sQ155_spl
| ~ sQ32_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6961,f481,f559,f1073]) ).
fof(f6975,plain,
( ~ sQ222_spl
| ~ sQ6_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f475,f1364]) ).
fof(f7014,plain,
( sQ152_spl
| ~ sQ37_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f576,f1062]) ).
fof(f7015,plain,
( sQ152_spl
| ~ sQ37_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f634,f7014]) ).
fof(f7016,plain,
( sQ152_spl
| ~ sQ37_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7015]) ).
fof(f7017,plain,
( sQ152_spl
| ~ sQ37_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f7016]) ).
fof(f7019,plain,
( ~ sQ101_spl
| ~ sQ161_spl
| ~ sQ35_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f6412,f643,f568,f1098,f843]) ).
fof(f7032,plain,
( sQ224_spl
| ~ sQ7_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4517,f604,f477,f1371]) ).
fof(f7034,plain,
( sQ141_spl
| ~ sQ41_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f5129,f523,f588,f1013]) ).
fof(f7035,plain,
( sQ148_spl
| ~ sQ24_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5902,f572,f533,f1044]) ).
fof(f7039,plain,
( sQ170_spl
| ~ sQ31_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3515,f604,f555,f1137]) ).
fof(f7079,plain,
( sQ127_spl
| ~ sQ46_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f605,f954]) ).
fof(f7085,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f4918,f97]) ).
fof(f7145,plain,
( ~ sQ98_spl
| ~ sQ198_spl
| ~ sQ18_spl
| op(e3,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f7147,f831]) ).
fof(f7147,plain,
( ~ sQ198_spl
| ~ sQ18_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f514,f1259]) ).
fof(f7149,plain,
( ~ sQ98_spl
| ~ sQ198_spl
| ~ sQ18_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f7145,f656,f513,f1258,f830]) ).
fof(f7151,plain,
( sQ194_spl
| ~ sQ18_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f514,f1244]) ).
fof(f7152,plain,
( sQ162_spl
| ~ sQ35_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4917,f659,f568,f1102]) ).
fof(f7181,plain,
( sQ128_spl
| ~ sQ44_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f6512,f490,f598,f956]) ).
fof(f7183,plain,
( sQ127_spl
| ~ sQ44_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6515,f568,f598,f952]) ).
fof(f7194,plain,
( ~ sQ85_spl
| ~ sQ136_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f6955,f594,f991,f778]) ).
fof(f7197,plain,
( ~ sQ158_spl
| ~ sQ35_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1087]) ).
fof(f7200,plain,
( sQ191_spl
| ~ sQ18_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f514,f1231]) ).
fof(f7202,plain,
( ~ sQ140_spl
| ~ sQ41_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f589,f1010]) ).
fof(f7204,plain,
( ~ sQ142_spl
| ~ sQ41_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f589,f1019]) ).
fof(f7272,plain,
( sQ102_spl
| ~ sQ58_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f644,f849]) ).
fof(f7306,plain,
( sQ209_spl
| ~ sQ200_spl
| ~ sQ14_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f5697,f1308]) ).
fof(f7310,plain,
( sQ209_spl
| ~ sQ200_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7306,f500,f1267,f1306]) ).
fof(f7315,plain,
( ~ sQ214_spl
| ~ sQ200_spl
| ~ sQ14_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f5697,f1329]) ).
fof(f7321,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| e1 = op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f783]) ).
fof(f7335,plain,
( ~ sQ70_spl
| ~ sQ63_spl
| op(e1,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f660,f719]) ).
fof(f7395,plain,
( ~ sQ141_spl
| ~ sQ41_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f589,f1014]) ).
fof(f7396,plain,
( ~ sQ141_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f7395]) ).
fof(f7397,plain,
( ~ sQ141_spl
| ~ sQ41_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7396,f130]) ).
fof(f7398,plain,
( ~ sQ141_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7397]) ).
fof(f7406,plain,
( ~ sQ142_spl
| ~ sQ41_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f628,f7204]) ).
fof(f7407,plain,
( ~ sQ142_spl
| ~ sQ41_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7406,f130]) ).
fof(f7408,plain,
( ~ sQ142_spl
| ~ sQ41_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f7407]) ).
fof(f7444,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f501,f98]) ).
fof(f7465,plain,
( ~ sQ108_spl
| ~ sQ53_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f628,f873]) ).
fof(f7466,plain,
( sQ109_spl
| ~ sQ53_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f628,f878]) ).
fof(f7467,plain,
( sQ109_spl
| ~ sQ53_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f530,f7466]) ).
fof(f7468,plain,
( sQ109_spl
| ~ sQ53_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7467]) ).
fof(f7469,plain,
( sQ109_spl
| ~ sQ53_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7468]) ).
fof(f7472,plain,
( ~ sQ140_spl
| ~ sQ41_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f7202,f468,f588,f1009]) ).
fof(f7485,plain,
( sQ136_spl
| ~ sQ41_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f589,f993]) ).
fof(f7493,plain,
( ~ sQ180_spl
| ~ sQ24_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f534,f1181]) ).
fof(f7494,plain,
( ~ sQ180_spl
| ~ sQ24_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f612,f7493]) ).
fof(f7495,plain,
( ~ sQ180_spl
| ~ sQ24_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7494,f128]) ).
fof(f7496,plain,
( ~ sQ180_spl
| ~ sQ24_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f7495]) ).
fof(f7510,plain,
( ~ sQ79_spl
| ~ sQ141_spl
| ~ sQ41_spl
| e3 = op(e1,op(e1,e1)) ),
inference(backward_demodulation,[status(thm)],[f7395,f755]) ).
fof(f7512,plain,
( ~ sQ79_spl
| ~ sQ141_spl
| ~ sQ41_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f7510,f770,f588,f1013,f754]) ).
fof(f7531,plain,
( ~ sQ127_spl
| ~ sQ170_spl
| ~ sQ66_spl
| ~ sQ61_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f7534,f953]) ).
fof(f7533,plain,
( ~ sQ128_spl
| ~ sQ170_spl
| ~ sQ66_spl
| ~ sQ61_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f7534,f957]) ).
fof(f7534,plain,
( ~ sQ170_spl
| ~ sQ66_spl
| ~ sQ61_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f2266,f1138]) ).
fof(f7535,plain,
( ~ sQ127_spl
| ~ sQ170_spl
| ~ sQ66_spl
| ~ sQ61_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f7531,f594,f653,f702,f1137,f952]) ).
fof(f7536,plain,
( ~ sQ128_spl
| ~ sQ170_spl
| ~ sQ66_spl
| ~ sQ61_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f7533,f594,f653,f702,f1137,f956]) ).
fof(f7609,plain,
( sQ94_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f631,f3800]) ).
fof(f7651,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e1 = op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f573,f7321]) ).
fof(f7655,plain,
( ~ sQ86_spl
| ~ sQ41_spl
| ~ sQ36_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f7651,f562,f572,f588,f782]) ).
fof(f7658,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f573,f5133]) ).
fof(f7659,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f569,f7658]) ).
fof(f7660,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7659]) ).
fof(f7661,plain,
( sQ85_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f7660]) ).
fof(f7676,plain,
( sQ127_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f7079,f594,f604,f952]) ).
fof(f7696,plain,
( sQ186_spl
| ~ sQ23_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3983,f494,f529,f1207]) ).
fof(f7697,plain,
( sQ79_spl
| ~ sQ23_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f3559,f1111,f529,f754]) ).
fof(f7699,plain,
( sQ140_spl
| ~ sQ43_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3777,f494,f594,f1009]) ).
fof(f7702,plain,
( sQ230_spl
| ~ sQ3_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6450,f604,f464,f1400]) ).
fof(f7704,plain,
( sQ231_spl
| ~ sQ3_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5933,f659,f464,f1404]) ).
fof(f7709,plain,
( sQ229_spl
| ~ sQ3_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3382,f549,f464,f1396]) ).
fof(f7724,plain,
( ~ sQ101_spl
| ~ sQ57_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6887,f601,f640,f843]) ).
fof(f7728,plain,
( sQ155_spl
| ~ sQ33_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6486,f533,f562,f1073]) ).
fof(f7731,plain,
( sQ154_spl
| ~ sQ192_spl
| ~ sQ18_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6436,f572,f513,f1233,f1069]) ).
fof(f7732,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| op(e2,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f631,f877]) ).
fof(f7733,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f573,f7732]) ).
fof(f7734,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7733,f128]) ).
fof(f7735,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f7734]) ).
fof(f7748,plain,
( ~ sQ134_spl
| ~ sQ44_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f6783,f620,f598,f982]) ).
fof(f7749,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2218,f633,f458,f1404]) ).
fof(f7757,plain,
( ~ sQ196_spl
| ~ sQ18_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f6026,f536,f513,f1250]) ).
fof(f7759,plain,
( sQ174_spl
| ~ sQ27_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f6308,f630,f542,f1154]) ).
fof(f7763,plain,
( ~ sQ70_spl
| ~ sQ63_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f7335,f549,f659,f718]) ).
fof(f7764,plain,
( sQ160_spl
| ~ sQ33_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f6699,f523,f562,f1094]) ).
fof(f7765,plain,
( sQ151_spl
| ~ sQ39_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6690,f604,f581,f1056]) ).
fof(f7766,plain,
( sQ222_spl
| ~ sQ6_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6865,f481,f474,f1363]) ).
fof(f7767,plain,
( ~ sQ74_spl
| ~ sQ2_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5392,f1306,f461,f734]) ).
fof(f7770,plain,
( sQ77_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4446,f490,f461,f746]) ).
fof(f7773,plain,
( sQ161_spl
| ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6695,f578,f562,f1098]) ).
fof(f7777,plain,
( sQ103_spl
| ~ sQ57_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f641,f853]) ).
fof(f7778,plain,
( sQ104_spl
| ~ sQ57_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f641,f857]) ).
fof(f7781,plain,
( sQ104_spl
| ~ sQ57_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f7778,f578,f640,f855]) ).
fof(f7788,plain,
( sQ183_spl
| ~ sQ20_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f521,f1195]) ).
fof(f7790,plain,
( sQ183_spl
| ~ sQ20_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f7788,f471,f520,f1193]) ).
fof(f7812,plain,
( sQ111_spl
| ~ sQ29_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f550,f887]) ).
fof(f7875,plain,
( ~ sQ177_spl
| ~ sQ26_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f6932,f107]) ).
fof(f7876,plain,
( ~ sQ177_spl
| ~ sQ26_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f7875,f494,f539,f1168]) ).
fof(f7888,plain,
( sQ76_spl
| ~ sQ2_spl
| e1 != op(e0,op(e0,e2)) ),
inference(backward_demodulation,[status(thm)],[f462,f744]) ).
fof(f7895,plain,
( sQ174_spl
| ~ sQ26_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f540,f1156]) ).
fof(f7930,plain,
( ~ sQ38_spl
| sQ170_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f579,f5757]) ).
fof(f7931,plain,
( ~ sQ38_spl
| sQ170_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f7930]) ).
fof(f7932,plain,
( sQ174_spl
| ~ sQ26_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f7895,f578,f539,f1154]) ).
fof(f7934,plain,
( ~ sQ170_spl
| ~ sQ29_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f550,f1138]) ).
fof(f7958,plain,
( sQ101_spl
| ~ sQ57_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f641,f845]) ).
fof(f7990,plain,
( sQ142_spl
| ~ sQ40_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f586,f1020]) ).
fof(f8014,plain,
( ~ sQ156_spl
| ~ sQ33_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f563,f1078]) ).
fof(f8017,plain,
( sQ154_spl
| ~ sQ33_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f563,f1071]) ).
fof(f8020,plain,
( ~ sQ156_spl
| ~ sQ33_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f8014,f513,f562,f1077]) ).
fof(f8032,plain,
( ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f6824,f1251]) ).
fof(f8036,plain,
( ~ sQ162_spl
| ~ sQ33_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1103]) ).
fof(f8055,plain,
( sQ80_spl
| ~ sQ20_spl
| ~ sQ83_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f6824,f6836]) ).
fof(f8082,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f641,f831]) ).
fof(f8083,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f550,f8082]) ).
fof(f8084,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8083,f129]) ).
fof(f8085,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f8084]) ).
fof(f8147,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f462,f1401]) ).
fof(f8151,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4439,f646,f461,f1404]) ).
fof(f8152,plain,
( sQ73_spl
| ~ sQ2_spl
| e3 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f462,f732]) ).
fof(f8154,plain,
( ~ sQ168_spl
| ~ sQ29_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f550,f1130]) ).
fof(f8163,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| e3 = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f527,f755]) ).
fof(f8165,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ83_spl
| e3 = op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f6147,f8163]) ).
fof(f8168,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ83_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f8165,f555,f770,f526,f754]) ).
fof(f8325,plain,
( sQ136_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f592,f993]) ).
fof(f8326,plain,
( sQ142_spl
| ~ sQ42_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f592,f1020]) ).
fof(f8336,plain,
( sQ136_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f8325,f591,f991]) ).
fof(f8345,plain,
( sQ86_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6726,f562,f598,f594,f782]) ).
fof(f8351,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f8082,f552,f640,f830]) ).
fof(f8363,plain,
( sQ136_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f7485,f578,f588,f991]) ).
fof(f8365,plain,
( sQ156_spl
| ~ sQ32_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3922,f461,f559,f1077]) ).
fof(f8366,plain,
( ~ sQ174_spl
| ~ sQ27_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f6305,f630,f542,f1154]) ).
fof(f8367,plain,
( sQ102_spl
| ~ sQ58_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f7272,f481,f643,f847]) ).
fof(f8368,plain,
( ~ sQ108_spl
| ~ sQ53_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f7465,f549,f627,f872]) ).
fof(f8369,plain,
( ~ sQ168_spl
| ~ sQ29_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f8154,f468,f549,f1129]) ).
fof(f8370,plain,
( sQ180_spl
| ~ sQ26_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6926,f646,f539,f1180]) ).
fof(f8371,plain,
( sQ197_spl
| ~ sQ16_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f6228,f565,f507,f1254]) ).
fof(f8372,plain,
( sQ91_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3635,f630,f614,f650,f802]) ).
fof(f8373,plain,
( ~ sQ142_spl
| ~ sQ41_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f7204,f633,f588,f1018]) ).
fof(f8515,plain,
( ~ sQ162_spl
| ~ sQ34_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f566,f1103]) ).
fof(f8551,plain,
( ~ sQ137_spl
| ~ sQ41_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f996]) ).
fof(f8571,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f498,f2556]) ).
fof(f8572,plain,
( sQ201_spl
| ~ sQ13_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f498,f1273]) ).
fof(f8576,plain,
( sQ74_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f8571,f474,f497,f464,f734]) ).
fof(f8639,plain,
( sQ159_spl
| ~ sQ34_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f566,f1092]) ).
fof(f8640,plain,
( sQ159_spl
| ~ sQ34_spl
| ~ sQ8_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f482,f8639]) ).
fof(f8641,plain,
( sQ159_spl
| ~ sQ34_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8640]) ).
fof(f8642,plain,
( sQ159_spl
| ~ sQ34_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f8641]) ).
fof(f8657,plain,
( sQ99_spl
| ~ sQ59_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f836]) ).
fof(f8658,plain,
( sQ99_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f647,f8657]) ).
fof(f8659,plain,
( sQ99_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8658]) ).
fof(f8660,plain,
( sQ99_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f8659]) ).
fof(f8661,plain,
( sQ194_spl
| ~ sQ18_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f7151,f474,f513,f1242]) ).
fof(f8668,plain,
( sQ142_spl
| ~ sQ40_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f7990,f620,f585,f1018]) ).
fof(f8671,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f6330,f594,f643,f834]) ).
fof(f8675,plain,
( ~ sQ222_spl
| ~ sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f6975,f481,f474,f1363]) ).
fof(f8676,plain,
( ~ sQ162_spl
| ~ sQ33_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f8036,f633,f562,f1102]) ).
fof(f8700,plain,
( ~ sQ169_spl
| ~ sQ28_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f1134]) ).
fof(f8702,plain,
( ~ sQ166_spl
| ~ sQ28_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f1120]) ).
fof(f8705,plain,
( ~ sQ61_spl
| ~ sQ166_spl
| ~ sQ28_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f8702,f5936]) ).
fof(f8706,plain,
( ~ sQ61_spl
| ~ sQ166_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8705]) ).
fof(f8707,plain,
( ~ sQ61_spl
| ~ sQ166_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f8706]) ).
fof(f8709,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f654,f800]) ).
fof(f8736,plain,
( sQ88_spl
| ~ sQ41_spl
| e0 != op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f589,f792]) ).
fof(f8742,plain,
( ~ sQ183_spl
| ~ sQ23_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f530,f1194]) ).
fof(f8744,plain,
( ~ sQ183_spl
| ~ sQ23_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f8742,f627,f529,f1193]) ).
fof(f8750,plain,
( sQ82_spl
| ~ sQ23_spl
| e0 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f530,f768]) ).
fof(f8769,plain,
( sQ89_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f589,f796]) ).
fof(f9019,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| ~ sQ34_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f8515,f827]) ).
fof(f9020,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| ~ sQ34_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f654,f9019]) ).
fof(f9021,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| ~ sQ34_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9020,f129]) ).
fof(f9022,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| ~ sQ34_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f9021]) ).
fof(f9043,plain,
( sQ190_spl
| ~ sQ17_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f1227]) ).
fof(f9044,plain,
( sQ197_spl
| ~ sQ17_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f511,f1256]) ).
fof(f9046,plain,
( sQ198_spl
| ~ sQ17_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f511,f1260]) ).
fof(f9080,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f631,f8709]) ).
fof(f9081,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9080,f127]) ).
fof(f9082,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f9081]) ).
fof(f9097,plain,
( ~ sQ108_spl
| ~ sQ54_spl
| op(e2,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f631,f873]) ).
fof(f9098,plain,
( ~ sQ108_spl
| ~ sQ54_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f608,f9097]) ).
fof(f9099,plain,
( ~ sQ108_spl
| ~ sQ54_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9098,f130]) ).
fof(f9100,plain,
( ~ sQ108_spl
| ~ sQ54_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f9099]) ).
fof(f9101,plain,
( sQ108_spl
| ~ sQ54_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f631,f874]) ).
fof(f9112,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| e1 = op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f654,f807]) ).
fof(f9117,plain,
( sQ127_spl
| ~ sQ47_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f608,f954]) ).
fof(f9118,plain,
( sQ127_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f608,f9117]) ).
fof(f9119,plain,
( sQ127_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9118]) ).
fof(f9120,plain,
( sQ127_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f9119]) ).
fof(f9127,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f7085,f598,f568,f1090]) ).
fof(f9129,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f4918,f494,f568,f1090]) ).
fof(f9133,plain,
( ~ sQ159_spl
| ~ sQ35_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5434,f455,f568,f1090]) ).
fof(f9134,plain,
( ~ sQ200_spl
| ~ sQ159_spl
| ~ sQ35_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f5367,f464,f568,f1090,f1267]) ).
fof(f9141,plain,
( sQ190_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f9043,f520,f510,f1225]) ).
fof(f9181,plain,
( sQ198_spl
| ~ sQ17_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f9046,f633,f510,f1258]) ).
fof(f9205,plain,
( sQ165_spl
| ~ sQ31_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5497,f633,f555,f1115]) ).
fof(f9206,plain,
( ~ sQ214_spl
| ~ sQ200_spl
| ~ sQ14_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f7315,f549,f500,f1267,f1328]) ).
fof(f9211,plain,
( sQ197_spl
| ~ sQ17_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f9044,f578,f510,f1254]) ).
fof(f9219,plain,
( ~ sQ65_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f654,f699]) ).
fof(f9222,plain,
( sQ194_spl
| ~ sQ5_spl
| e1 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f472,f1244]) ).
fof(f9223,plain,
( sQ194_spl
| ~ sQ5_spl
| ~ sQ17_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f511,f9222]) ).
fof(f9224,plain,
( sQ194_spl
| ~ sQ5_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9223]) ).
fof(f9225,plain,
( sQ194_spl
| ~ sQ5_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f9224]) ).
fof(f9226,plain,
( ~ sQ141_spl
| ~ sQ43_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3873,f549,f594,f1013]) ).
fof(f9343,plain,
( ~ sQ66_spl
| ~ sQ60_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f651,f703]) ).
fof(f9361,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f651,f819]) ).
fof(f9381,plain,
( sQ170_spl
| ~ sQ30_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f553,f1139]) ).
fof(f9492,plain,
( ~ sQ191_spl
| ~ sQ19_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f517,f1230]) ).
fof(f9495,plain,
( ~ sQ191_spl
| ~ sQ19_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f9492,f624,f516,f1229]) ).
fof(f9506,plain,
( sQ92_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f618,f1623]) ).
fof(f9507,plain,
( sQ92_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f641,f9506]) ).
fof(f9508,plain,
( sQ92_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9507]) ).
fof(f9509,plain,
( sQ92_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f9508]) ).
fof(f9524,plain,
( sQ82_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f553,f8750]) ).
fof(f9525,plain,
( sQ82_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f534,f9524]) ).
fof(f9526,plain,
( sQ82_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9525]) ).
fof(f9527,plain,
( sQ82_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f9526]) ).
fof(f9548,plain,
( ~ sQ194_spl
| ~ sQ50_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f618,f2623]) ).
fof(f9549,plain,
( ~ sQ194_spl
| ~ sQ30_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f2622]) ).
fof(f9561,plain,
( sQ198_spl
| ~ sQ19_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4574,f659,f516,f1258]) ).
fof(f9562,plain,
( sQ98_spl
| ~ sQ57_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f641,f832]) ).
fof(f9563,plain,
( sQ98_spl
| ~ sQ57_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f553,f9562]) ).
fof(f9564,plain,
( sQ98_spl
| ~ sQ57_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9563]) ).
fof(f9565,plain,
( sQ98_spl
| ~ sQ57_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f9564]) ).
fof(f9599,plain,
( sQ158_spl
| ~ sQ10_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f488,f1088]) ).
fof(f9601,plain,
( sQ209_spl
| ~ sQ10_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f488,f1308]) ).
fof(f9602,plain,
( sQ209_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f488,f9601]) ).
fof(f9603,plain,
( sQ209_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9602]) ).
fof(f9604,plain,
( sQ209_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f9603]) ).
fof(f9779,plain,
( sQ164_spl
| ~ sQ28_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f547,f1113]) ).
fof(f9816,plain,
( sQ149_spl
| ~ sQ36_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f573,f1050]) ).
fof(f9820,plain,
( sQ149_spl
| ~ sQ36_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f9816,f455,f572,f1048]) ).
fof(f9844,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e1 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f631,f9112]) ).
fof(f9845,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ54_spl
| sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9844,f642]) ).
fof(f9846,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ54_spl
| sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f9845]) ).
fof(f9851,plain,
( sQ94_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7609,f637,f630,f653,f814]) ).
fof(f9896,plain,
( ~ sQ194_spl
| ~ sQ51_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4060,f477,f620,f1242]) ).
fof(f9901,plain,
( sQ187_spl
| ~ sQ21_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f524,f1214]) ).
fof(f9903,plain,
( ~ sQ164_spl
| ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f547,f1112]) ).
fof(f9904,plain,
( ~ sQ164_spl
| ~ sQ28_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f514,f9903]) ).
fof(f9905,plain,
( ~ sQ164_spl
| ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9904,f131]) ).
fof(f9906,plain,
( ~ sQ164_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f9905]) ).
fof(f9907,plain,
( sQ214_spl
| ~ sQ9_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f485,f1330]) ).
fof(f9908,plain,
( ~ sQ194_spl
| ~ sQ7_spl
| e3 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f478,f1243]) ).
fof(f9914,plain,
( ~ sQ213_spl
| ~ sQ9_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f485,f1325]) ).
fof(f9915,plain,
( ~ sQ213_spl
| ~ sQ9_spl
| ~ sQ7_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f478,f9914]) ).
fof(f9916,plain,
( ~ sQ213_spl
| ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9915,f128]) ).
fof(f9917,plain,
( ~ sQ213_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f9916]) ).
fof(f9918,plain,
( ~ sQ215_spl
| ~ sQ9_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f485,f1333]) ).
fof(f9919,plain,
( ~ sQ216_spl
| ~ sQ9_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f485,f1337]) ).
fof(f9920,plain,
( ~ sQ204_spl
| ~ sQ14_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f501,f1286]) ).
fof(f9921,plain,
( ~ sQ204_spl
| ~ sQ14_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f485,f9920]) ).
fof(f9922,plain,
( ~ sQ204_spl
| ~ sQ14_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9921,f126]) ).
fof(f9923,plain,
( ~ sQ204_spl
| ~ sQ14_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f9922]) ).
fof(f9941,plain,
( ~ sQ197_spl
| ~ sQ19_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f6889,f604,f516,f1254]) ).
fof(f9949,plain,
( sQ158_spl
| ~ sQ9_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f1088]) ).
fof(f9950,plain,
( ~ sQ207_spl
| ~ sQ14_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f501,f1298]) ).
fof(f9951,plain,
( ~ sQ121_spl
| ~ sQ14_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f501,f928]) ).
fof(f9953,plain,
( ~ sQ206_spl
| ~ sQ14_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f6456,f591,f500,f1293]) ).
fof(f9954,plain,
( ~ sQ211_spl
| ~ sQ9_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f485,f1315]) ).
fof(f9956,plain,
( ~ sQ202_spl
| ~ sQ14_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f5696,f598,f500,f1275]) ).
fof(f9957,plain,
( ~ sQ209_spl
| ~ sQ9_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f485,f1307]) ).
fof(f9958,plain,
( ~ sQ209_spl
| ~ sQ9_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f478,f9957]) ).
fof(f9959,plain,
( ~ sQ209_spl
| ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9958,f131]) ).
fof(f9960,plain,
( ~ sQ209_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f9959]) ).
fof(f9961,plain,
( sQ213_spl
| ~ sQ9_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f1326]) ).
fof(f9967,plain,
( sQ209_spl
| ~ sQ9_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f485,f1308]) ).
fof(f9969,plain,
( sQ206_spl
| ~ sQ14_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f501,f1295]) ).
fof(f10001,plain,
( sQ162_spl
| ~ sQ33_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f563,f1104]) ).
fof(f10007,plain,
( ~ sQ216_spl
| ~ sQ9_spl
| sQ162_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9919,f10001]) ).
fof(f10008,plain,
( ~ sQ216_spl
| ~ sQ9_spl
| sQ162_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f10007]) ).
fof(f10069,plain,
( ~ sQ231_spl
| ~ sQ0_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f456,f1405]) ).
fof(f10070,plain,
( ~ sQ231_spl
| ~ sQ0_spl
| ~ sQ194_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10069,f4497]) ).
fof(f10071,plain,
( ~ sQ231_spl
| ~ sQ0_spl
| ~ sQ194_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f10070]) ).
fof(f10077,plain,
( sQ166_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f8032,f1121]) ).
fof(f10080,plain,
( sQ166_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f10077,f549,f520,f770,f1250,f1119]) ).
fof(f10091,plain,
( ~ sQ151_spl
| ~ sQ38_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f579,f1057]) ).
fof(f10092,plain,
( ~ sQ150_spl
| ~ sQ38_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f579,f1053]) ).
fof(f10094,plain,
( ~ sQ151_spl
| ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f10091,f591,f578,f1056]) ).
fof(f10095,plain,
( ~ sQ150_spl
| ~ sQ38_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f10092,f536,f578,f1052]) ).
fof(f10099,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f608,f971]) ).
fof(f10100,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f501,f10099]) ).
fof(f10101,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10100,f127]) ).
fof(f10102,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f10101]) ).
fof(f10103,plain,
( sQ131_spl
| ~ sQ47_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f608,f972]) ).
fof(f10106,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f563,f4835]) ).
fof(f10111,plain,
( sQ215_spl
| ~ sQ9_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f485,f1334]) ).
fof(f10112,plain,
( sQ215_spl
| ~ sQ9_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f579,f10111]) ).
fof(f10113,plain,
( sQ215_spl
| ~ sQ9_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10112]) ).
fof(f10114,plain,
( sQ215_spl
| ~ sQ9_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f10113]) ).
fof(f10122,plain,
( sQ111_spl
| ~ sQ29_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f7812,f627,f549,f885]) ).
fof(f10125,plain,
( sQ158_spl
| ~ sQ9_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f9949,f562,f484,f1086]) ).
fof(f10126,plain,
( sQ132_spl
| ~ sQ47_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f608,f976]) ).
fof(f10127,plain,
( sQ132_spl
| ~ sQ47_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f8032,f10126]) ).
fof(f10128,plain,
( sQ132_spl
| ~ sQ47_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10127]) ).
fof(f10129,plain,
( sQ132_spl
| ~ sQ47_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f10128]) ).
fof(f10130,plain,
( ~ sQ111_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| e1 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f8032,f886]) ).
fof(f10132,plain,
( ~ sQ211_spl
| ~ sQ9_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f9954,f533,f484,f1314]) ).
fof(f10134,plain,
( ~ sQ91_spl
| ~ sQ95_spl
| e2 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f819,f803]) ).
fof(f10135,plain,
( ~ sQ91_spl
| ~ sQ95_spl
| sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10134,f645]) ).
fof(f10136,plain,
( ~ sQ91_spl
| ~ sQ95_spl
| sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f10135]) ).
fof(f10137,plain,
( ~ sQ129_spl
| ~ sQ47_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f608,f961]) ).
fof(f10138,plain,
( ~ sQ129_spl
| ~ sQ47_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10137,f7444]) ).
fof(f10139,plain,
( ~ sQ129_spl
| ~ sQ47_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f10138]) ).
fof(f10140,plain,
( ~ sQ73_spl
| ~ sQ0_spl
| e3 = op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f456,f731]) ).
fof(f10141,plain,
( ~ sQ73_spl
| ~ sQ0_spl
| e3 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f456,f10140]) ).
fof(f10142,plain,
( ~ sQ73_spl
| ~ sQ0_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f456,f10141]) ).
fof(f10143,plain,
( ~ sQ73_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10142,f128]) ).
fof(f10144,plain,
( ~ sQ73_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f10143]) ).
fof(f10151,plain,
( sQ103_spl
| ~ sQ57_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f7777,f523,f640,f851]) ).
fof(f10155,plain,
( ~ sQ132_spl
| ~ sQ44_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f6782,f510,f598,f974]) ).
fof(f10160,plain,
( ~ sQ155_spl
| ~ sQ33_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f563,f1074]) ).
fof(f10182,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f8147,f93]) ).
fof(f10183,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f8147,f117]) ).
fof(f10233,plain,
( sQ66_spl
| ~ sQ198_spl
| ~ sQ19_spl
| op(e3,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f10236,f704]) ).
fof(f10234,plain,
( ~ sQ198_spl
| ~ sQ19_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f10236,f125]) ).
fof(f10236,plain,
( ~ sQ198_spl
| ~ sQ19_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f517,f1259]) ).
fof(f10240,plain,
( sQ66_spl
| ~ sQ198_spl
| ~ sQ19_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10233,f659,f516,f1258,f702]) ).
fof(f10273,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| op(e3,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f641,f827]) ).
fof(f10274,plain,
( ~ sQ99_spl
| ~ sQ57_spl
| op(e1,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f641,f835]) ).
fof(f10280,plain,
( ~ sQ99_spl
| ~ sQ57_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f10274,f542,f640,f834]) ).
fof(f10325,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f491,f7888]) ).
fof(f10329,plain,
( sQ76_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f10325,f497,f490,f461,f742]) ).
fof(f10388,plain,
( sQ200_spl
| ~ sQ13_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f498,f1269]) ).
fof(f10469,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f582,f8736]) ).
fof(f10478,plain,
( sQ144_spl
| ~ sQ39_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f582,f1029]) ).
fof(f10492,plain,
( sQ55_spl
| ~ sQ111_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f886,f635]) ).
fof(f10494,plain,
( ~ sQ39_spl
| ~ sQ111_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f886,f6633]) ).
fof(f10511,plain,
( sQ134_spl
| ~ sQ46_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f605,f984]) ).
fof(f10516,plain,
( sQ134_spl
| ~ sQ46_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f10511,f646,f604,f982]) ).
fof(f10531,plain,
( sQ205_spl
| ~ sQ13_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f498,f1291]) ).
fof(f10533,plain,
( sQ129_spl
| ~ sQ46_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f605,f962]) ).
fof(f10534,plain,
( sQ129_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f605,f10533]) ).
fof(f10535,plain,
( sQ129_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10534]) ).
fof(f10536,plain,
( sQ129_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f10535]) ).
fof(f10538,plain,
( ~ sQ107_spl
| ~ sQ111_spl
| op(e3,op(e1,e3)) = e1 ),
inference(forward_demodulation,[status(thm)],[f886,f869]) ).
fof(f10539,plain,
( ~ sQ148_spl
| ~ sQ24_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f534,f1045]) ).
fof(f10540,plain,
( ~ sQ148_spl
| ~ sQ24_spl
| ~ sQ39_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f582,f10539]) ).
fof(f10541,plain,
( ~ sQ148_spl
| ~ sQ24_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10540,f128]) ).
fof(f10542,plain,
( ~ sQ148_spl
| ~ sQ24_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f10541]) ).
fof(f10555,plain,
( ~ sQ39_spl
| ~ sQ111_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10494,f555,f885,f581]) ).
fof(f10556,plain,
( sQ55_spl
| ~ sQ111_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10492,f555,f885,f633]) ).
fof(f10609,plain,
( sQ144_spl
| ~ sQ39_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f10478,f601,f581,f1027]) ).
fof(f10627,plain,
( ~ sQ145_spl
| ~ sQ39_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f582,f1032]) ).
fof(f10628,plain,
( sQ146_spl
| ~ sQ39_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f582,f1037]) ).
fof(f10633,plain,
( sQ101_spl
| ~ sQ57_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f7958,f601,f640,f843]) ).
fof(f10635,plain,
( sQ108_spl
| ~ sQ54_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f9101,f601,f630,f872]) ).
fof(f10642,plain,
( sQ206_spl
| ~ sQ14_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f9969,f591,f500,f1293]) ).
fof(f10643,plain,
( ~ sQ149_spl
| ~ sQ39_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f582,f1049]) ).
fof(f10645,plain,
( sQ112_spl
| ~ sQ111_spl
| op(e0,op(e1,e3)) != e0 ),
inference(forward_demodulation,[status(thm)],[f886,f891]) ).
fof(f10646,plain,
( sQ113_spl
| ~ sQ111_spl
| op(e1,op(e1,e3)) != e1 ),
inference(forward_demodulation,[status(thm)],[f886,f895]) ).
fof(f10647,plain,
( sQ114_spl
| ~ sQ111_spl
| op(e2,op(e1,e3)) != e2 ),
inference(forward_demodulation,[status(thm)],[f886,f899]) ).
fof(f10648,plain,
( sQ115_spl
| ~ sQ111_spl
| op(e3,op(e1,e3)) != e3 ),
inference(forward_demodulation,[status(thm)],[f886,f903]) ).
fof(f10667,plain,
( sQ191_spl
| ~ sQ18_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f7200,f572,f513,f1229]) ).
fof(f10670,plain,
( ~ sQ158_spl
| ~ sQ11_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f3175,f568,f490,f1086]) ).
fof(f10673,plain,
( sQ111_spl
| ~ sQ30_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3588,f630,f552,f885]) ).
fof(f10675,plain,
( sQ170_spl
| ~ sQ30_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f9381,f591,f552,f1137]) ).
fof(f10676,plain,
( ~ sQ198_spl
| ~ sQ19_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f10236,f659,f516,f1258]) ).
fof(f10677,plain,
( ~ sQ198_spl
| ~ sQ19_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f10234,f646,f516,f1258]) ).
fof(f10680,plain,
( sQ154_spl
| ~ sQ33_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f8017,f572,f562,f1069]) ).
fof(f10682,plain,
( ~ sQ196_spl
| ~ sQ19_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4619,f549,f516,f1250]) ).
fof(f10794,plain,
( ~ sQ222_spl
| ~ sQ7_spl
| sQ131_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4397,f10103]) ).
fof(f10795,plain,
( ~ sQ222_spl
| ~ sQ7_spl
| sQ131_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f10794]) ).
fof(f10809,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f563,f3017]) ).
fof(f10825,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| ~ sQ33_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f10106,f572,f562,f585,f790]) ).
fof(f10827,plain,
( ~ sQ170_spl
| ~ sQ29_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7934,f578,f549,f1137]) ).
fof(f10832,plain,
( ~ sQ149_spl
| ~ sQ39_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f10643,f494,f581,f1048]) ).
fof(f10836,plain,
( ~ sQ215_spl
| ~ sQ9_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f9918,f578,f484,f1332]) ).
fof(f10837,plain,
( sQ114_spl
| ~ sQ111_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f10647,f1137,f885,f897]) ).
fof(f10840,plain,
( ~ sQ213_spl
| ~ sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f9914,f468,f484,f1324]) ).
fof(f10841,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9967,f474,f484,f1306]) ).
fof(f10851,plain,
( ~ sQ158_spl
| ~ sQ9_spl
| e1 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f1087]) ).
fof(f10855,plain,
( sQ98_spl
| ~ sQ59_spl
| op(e3,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f647,f832]) ).
fof(f10863,plain,
( ~ sQ101_spl
| ~ sQ59_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f647,f844]) ).
fof(f10915,plain,
( sQ107_spl
| ~ sQ111_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f10130,f870]) ).
fof(f10916,plain,
( sQ107_spl
| ~ sQ111_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f10130,f10915]) ).
fof(f10917,plain,
( sQ107_spl
| ~ sQ111_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10916]) ).
fof(f10918,plain,
( sQ107_spl
| ~ sQ111_spl
| ~ sQ196_spl
| ~ sQ83_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f10917]) ).
fof(f10930,plain,
( sQ164_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f9779,f516,f546,f1111]) ).
fof(f10932,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f485,f8152]) ).
fof(f10953,plain,
( ~ sQ108_spl
| ~ sQ54_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f9097,f601,f630,f872]) ).
fof(f10963,plain,
( ~ sQ141_spl
| ~ sQ40_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f5585,f510,f585,f1013]) ).
fof(f10968,plain,
( ~ sQ160_spl
| ~ sQ33_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f563,f1095]) ).
fof(f10969,plain,
( sQ102_spl
| ~ sQ59_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f647,f849]) ).
fof(f10970,plain,
( sQ103_spl
| ~ sQ59_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f647,f853]) ).
fof(f10977,plain,
( ~ sQ190_spl
| ~ sQ19_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f517,f1226]) ).
fof(f10985,plain,
( sQ101_spl
| ~ sQ58_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f5731,f604,f643,f843]) ).
fof(f10993,plain,
( sQ198_spl
| ~ sQ16_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3575,f620,f507,f1258]) ).
fof(f10995,plain,
( ~ sQ209_spl
| ~ sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f9957,f474,f484,f1306]) ).
fof(f10996,plain,
( sQ213_spl
| ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f9961,f468,f484,f1324]) ).
fof(f11003,plain,
( ~ sQ131_spl
| ~ sQ44_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6781,f455,f598,f970]) ).
fof(f11004,plain,
( ~ sQ101_spl
| ~ sQ59_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f10863,f607,f646,f843]) ).
fof(f11008,plain,
( sQ73_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f10932,f477,f484,f461,f730]) ).
fof(f11010,plain,
( ~ sQ154_spl
| ~ sQ33_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f563,f1070]) ).
fof(f11012,plain,
( sQ214_spl
| ~ sQ9_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f9907,f523,f484,f1328]) ).
fof(f11016,plain,
( sQ224_spl
| ~ sQ6_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f6866,f591,f474,f1371]) ).
fof(f11017,plain,
( ~ sQ194_spl
| ~ sQ50_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9548,f474,f617,f1242]) ).
fof(f11018,plain,
( ~ sQ214_spl
| ~ sQ9_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f485,f1329]) ).
fof(f11019,plain,
( ~ sQ190_spl
| ~ sQ19_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f10977,f546,f516,f1225]) ).
fof(f11106,plain,
( sQ169_spl
| ~ sQ30_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1135]) ).
fof(f11121,plain,
( ~ sQ175_spl
| ~ sQ24_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f534,f1159]) ).
fof(f11124,plain,
( sQ179_spl
| ~ sQ24_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f534,f1178]) ).
fof(f11203,plain,
( sQ71_spl
| ~ sQ60_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f651,f724]) ).
fof(f11317,plain,
( ~ sQ192_spl
| ~ sQ19_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f1234]) ).
fof(f11377,plain,
( ~ sQ72_spl
| ~ sQ2_spl
| e1 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f728]) ).
fof(f11388,plain,
( sQ171_spl
| ~ sQ30_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f553,f1143]) ).
fof(f11429,plain,
( ~ sQ118_spl
| ~ sQ192_spl
| ~ sQ19_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f11317,f915]) ).
fof(f11430,plain,
( ~ sQ118_spl
| ~ sQ192_spl
| ~ sQ19_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f553,f11429]) ).
fof(f11431,plain,
( ~ sQ118_spl
| ~ sQ192_spl
| ~ sQ19_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11430,f127]) ).
fof(f11432,plain,
( ~ sQ118_spl
| ~ sQ192_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f11431]) ).
fof(f11435,plain,
( ~ sQ145_spl
| ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f579,f1032]) ).
fof(f11436,plain,
( ~ sQ145_spl
| ~ sQ38_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f595,f11435]) ).
fof(f11437,plain,
( ~ sQ145_spl
| ~ sQ38_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11436,f130]) ).
fof(f11438,plain,
( ~ sQ145_spl
| ~ sQ38_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f11437]) ).
fof(f11441,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| ~ sQ43_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f3871,f957]) ).
fof(f11472,plain,
( sQ98_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f10855,f656,f646,f830]) ).
fof(f11484,plain,
( sQ103_spl
| ~ sQ59_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f10970,f549,f646,f851]) ).
fof(f11485,plain,
( sQ102_spl
| ~ sQ59_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f10969,f494,f646,f847]) ).
fof(f11491,plain,
( sQ142_spl
| ~ sQ42_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f8326,f646,f591,f1018]) ).
fof(f11495,plain,
( ~ sQ214_spl
| ~ sQ9_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f11018,f523,f484,f1328]) ).
fof(f11497,plain,
( sQ180_spl
| ~ sQ24_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f534,f1182]) ).
fof(f11498,plain,
( sQ211_spl
| ~ sQ9_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f1316]) ).
fof(f11499,plain,
( sQ211_spl
| ~ sQ9_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f534,f11498]) ).
fof(f11500,plain,
( sQ211_spl
| ~ sQ9_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11499]) ).
fof(f11501,plain,
( sQ211_spl
| ~ sQ9_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f11500]) ).
fof(f11599,plain,
( ~ sQ66_spl
| ~ sQ62_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f657,f703]) ).
fof(f11666,plain,
( sQ200_spl
| ~ sQ12_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f495,f1269]) ).
fof(f11667,plain,
( sQ200_spl
| ~ sQ12_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f465,f11666]) ).
fof(f11668,plain,
( sQ200_spl
| ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11667]) ).
fof(f11669,plain,
( sQ200_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f11668]) ).
fof(f11730,plain,
( sQ205_spl
| ~ sQ12_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f495,f1291]) ).
fof(f11735,plain,
( sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f5581,f1347]) ).
fof(f11736,plain,
( sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f485,f11735]) ).
fof(f11737,plain,
( sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11736]) ).
fof(f11738,plain,
( sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f11737]) ).
fof(f11740,plain,
( sQ223_spl
| ~ sQ194_spl
| ~ sQ18_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f5581,f1369]) ).
fof(f11742,plain,
( ~ sQ73_spl
| ~ sQ3_spl
| e3 = op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f465,f731]) ).
fof(f11747,plain,
( ~ sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f5581,f1346]) ).
fof(f11764,plain,
( ~ sQ224_spl
| ~ sQ194_spl
| ~ sQ18_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f5581,f1372]) ).
fof(f11800,plain,
( ~ sQ109_spl
| ~ sQ52_spl
| op(e0,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f625,f877]) ).
fof(f11803,plain,
( ~ sQ109_spl
| ~ sQ52_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f11800,f477,f624,f876]) ).
fof(f11836,plain,
( ~ sQ121_spl
| ~ sQ12_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f495,f928]) ).
fof(f11837,plain,
( ~ sQ121_spl
| ~ sQ12_spl
| ~ sQ49_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f615,f11836]) ).
fof(f11838,plain,
( ~ sQ121_spl
| ~ sQ12_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11837,f126]) ).
fof(f11839,plain,
( ~ sQ121_spl
| ~ sQ12_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f11838]) ).
fof(f11842,plain,
( sQ131_spl
| ~ sQ66_spl
| ~ sQ62_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f11599,f972]) ).
fof(f11843,plain,
( sQ131_spl
| ~ sQ66_spl
| ~ sQ62_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f495,f11842]) ).
fof(f11844,plain,
( sQ131_spl
| ~ sQ66_spl
| ~ sQ62_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11843]) ).
fof(f11845,plain,
( sQ131_spl
| ~ sQ66_spl
| ~ sQ62_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f11844]) ).
fof(f11933,plain,
( sQ144_spl
| ~ sQ154_spl
| ~ sQ33_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f11010,f1029]) ).
fof(f11934,plain,
( sQ144_spl
| ~ sQ154_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f563,f11933]) ).
fof(f11935,plain,
( sQ144_spl
| ~ sQ154_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11934]) ).
fof(f11936,plain,
( sQ144_spl
| ~ sQ154_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f11935]) ).
fof(f11996,plain,
( sQ158_spl
| ~ sQ10_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f9599,f565,f487,f1086]) ).
fof(f11998,plain,
( sQ202_spl
| ~ sQ12_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f495,f1277]) ).
fof(f11999,plain,
( sQ202_spl
| ~ sQ12_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f495,f11998]) ).
fof(f12000,plain,
( sQ202_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11999]) ).
fof(f12001,plain,
( sQ202_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f12000]) ).
fof(f12004,plain,
( sQ200_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f10388,f477,f497,f1267]) ).
fof(f12008,plain,
( sQ88_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10469,f598,f581,f588,f790]) ).
fof(f12012,plain,
( sQ115_spl
| ~ sQ111_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f10648,f1141,f885,f901]) ).
fof(f12013,plain,
( sQ171_spl
| ~ sQ30_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f11388,f646,f552,f1141]) ).
fof(f12016,plain,
( sQ89_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8769,f581,f588,f794]) ).
fof(f12317,plain,
( sQ144_spl
| ~ sQ37_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f576,f1029]) ).
fof(f12322,plain,
( sQ144_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f12317,f575,f1027]) ).
fof(f12341,plain,
( sQ85_spl
| ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10809,f581,f562,f585,f778]) ).
fof(f12390,plain,
( sQ205_spl
| ~ sQ13_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f10531,f523,f497,f1289]) ).
fof(f12401,plain,
( ~ sQ102_spl
| ~ sQ57_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f641,f848]) ).
fof(f12406,plain,
( ~ sQ145_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f11435,f588,f578,f1031]) ).
fof(f12423,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f10273,f630,f640,f826]) ).
fof(f12508,plain,
( ~ sQ175_spl
| ~ sQ27_spl
| op(e3,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f543,f1159]) ).
fof(f12564,plain,
( ~ sQ159_spl
| ~ sQ33_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f563,f1091]) ).
fof(f12613,plain,
( sQ121_spl
| ~ sQ166_spl
| ~ sQ28_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f8702,f929]) ).
fof(f12618,plain,
( ~ sQ72_spl
| ~ sQ3_spl
| e1 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f465,f728]) ).
fof(f12729,plain,
( ~ sQ161_spl
| ~ sQ33_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f563,f1099]) ).
fof(f12754,plain,
( sQ94_spl
| ~ sQ62_spl
| e0 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f657,f816]) ).
fof(f12755,plain,
( sQ94_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f641,f12754]) ).
fof(f12787,plain,
( ~ sQ201_spl
| ~ sQ166_spl
| ~ sQ28_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f8702,f1272]) ).
fof(f12788,plain,
( ~ sQ201_spl
| ~ sQ166_spl
| ~ sQ28_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f514,f12787]) ).
fof(f12789,plain,
( ~ sQ201_spl
| ~ sQ166_spl
| ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12788,f131]) ).
fof(f12790,plain,
( ~ sQ201_spl
| ~ sQ166_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f12789]) ).
fof(f12831,plain,
( sQ148_spl
| ~ sQ38_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f579,f1046]) ).
fof(f13055,plain,
( sQ111_spl
| ~ sQ31_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f556,f887]) ).
fof(f13088,plain,
( ~ sQ83_spl
| ~ sQ141_spl
| ~ sQ41_spl
| e3 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f7395,f771]) ).
fof(f13089,plain,
( ~ sQ83_spl
| ~ sQ141_spl
| ~ sQ41_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f7395,f13088]) ).
fof(f13090,plain,
( ~ sQ83_spl
| ~ sQ141_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13089,f130]) ).
fof(f13091,plain,
( ~ sQ83_spl
| ~ sQ141_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f13090]) ).
fof(f13116,plain,
( ~ sQ200_spl
| ~ sQ13_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f498,f1268]) ).
fof(f13128,plain,
( ~ sQ136_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f589,f992]) ).
fof(f13130,plain,
( ~ sQ118_spl
| ~ sQ219_spl
| ~ sQ7_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f4720,f915]) ).
fof(f13131,plain,
( ~ sQ118_spl
| ~ sQ219_spl
| ~ sQ7_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f556,f13130]) ).
fof(f13132,plain,
( ~ sQ118_spl
| ~ sQ219_spl
| ~ sQ7_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13131,f128]) ).
fof(f13133,plain,
( ~ sQ118_spl
| ~ sQ219_spl
| ~ sQ7_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f13132]) ).
fof(f13137,plain,
( sQ107_spl
| ~ sQ52_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f625,f870]) ).
fof(f13138,plain,
( sQ107_spl
| ~ sQ52_spl
| ~ sQ219_spl
| ~ sQ7_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f4720,f13137]) ).
fof(f13139,plain,
( sQ107_spl
| ~ sQ52_spl
| ~ sQ219_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13138]) ).
fof(f13140,plain,
( sQ107_spl
| ~ sQ52_spl
| ~ sQ219_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f13139]) ).
fof(f13181,plain,
( sQ92_spl
| ~ sQ62_spl
| e1 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f657,f808]) ).
fof(f13193,plain,
( ~ sQ118_spl
| ~ sQ49_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f615,f915]) ).
fof(f13237,plain,
( ~ sQ118_spl
| ~ sQ49_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f13193,f113]) ).
fof(f13305,plain,
( sQ111_spl
| ~ sQ118_spl
| ~ sQ49_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f13193,f887]) ).
fof(f13337,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f638,f13181]) ).
fof(f13338,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f615,f13337]) ).
fof(f13339,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13338]) ).
fof(f13340,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f13339]) ).
fof(f13361,plain,
( ~ sQ145_spl
| ~ sQ39_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f10627,f640,f581,f1031]) ).
fof(f13362,plain,
( sQ146_spl
| ~ sQ39_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f10628,f630,f581,f1035]) ).
fof(f13370,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f638,f844]) ).
fof(f13385,plain,
( ~ sQ148_spl
| ~ sQ27_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f1045]) ).
fof(f13387,plain,
( sQ102_spl
| ~ sQ56_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f638,f849]) ).
fof(f13391,plain,
( sQ183_spl
| ~ sQ141_spl
| ~ sQ41_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f7395,f1195]) ).
fof(f13392,plain,
( sQ183_spl
| ~ sQ141_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7395,f13391]) ).
fof(f13393,plain,
( sQ183_spl
| ~ sQ141_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13392]) ).
fof(f13394,plain,
( sQ183_spl
| ~ sQ141_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f13393]) ).
fof(f13395,plain,
( sQ204_spl
| ~ sQ13_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f1287]) ).
fof(f13396,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ4_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f469,f13395]) ).
fof(f13397,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13396]) ).
fof(f13398,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f13397]) ).
fof(f13399,plain,
( sQ121_spl
| ~ sQ166_spl
| ~ sQ28_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f12613,f614,f546,f1119,f927]) ).
fof(f13400,plain,
( sQ121_spl
| ~ sQ13_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f498,f929]) ).
fof(f13401,plain,
( sQ121_spl
| ~ sQ13_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f615,f13400]) ).
fof(f13402,plain,
( sQ121_spl
| ~ sQ13_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13401]) ).
fof(f13403,plain,
( sQ121_spl
| ~ sQ13_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f13402]) ).
fof(f13415,plain,
( ~ sQ89_spl
| ~ sQ41_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f589,f795]) ).
fof(f13416,plain,
( sQ104_spl
| ~ sQ56_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f638,f857]) ).
fof(f13420,plain,
( ~ sQ173_spl
| ~ sQ27_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f543,f1151]) ).
fof(f13422,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f469,f1346]) ).
fof(f13423,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f465,f13422]) ).
fof(f13424,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13423,f130]) ).
fof(f13425,plain,
( ~ sQ218_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f13424]) ).
fof(f13426,plain,
( ~ sQ73_spl
| ~ sQ3_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f11742,f1267,f464,f730]) ).
fof(f13433,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| op(e3,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f638,f827]) ).
fof(f13434,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f615,f13433]) ).
fof(f13435,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13434,f129]) ).
fof(f13436,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f13435]) ).
fof(f13439,plain,
( sQ117_spl
| ~ sQ49_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f912]) ).
fof(f13440,plain,
( sQ119_spl
| ~ sQ49_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f615,f920]) ).
fof(f13444,plain,
( ~ sQ175_spl
| ~ sQ27_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f12508,f640,f542,f1158]) ).
fof(f13462,plain,
( sQ97_spl
| ~ sQ56_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f638,f828]) ).
fof(f13486,plain,
( sQ150_spl
| ~ sQ39_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f582,f1054]) ).
fof(f13511,plain,
( ~ sQ127_spl
| ~ sQ46_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f605,f953]) ).
fof(f13512,plain,
( ~ sQ127_spl
| ~ sQ46_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f589,f13511]) ).
fof(f13513,plain,
( ~ sQ127_spl
| ~ sQ46_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13512,f130]) ).
fof(f13514,plain,
( ~ sQ127_spl
| ~ sQ46_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f13513]) ).
fof(f13521,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| ~ sQ46_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f605,f13370]) ).
fof(f13522,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13521,f127]) ).
fof(f13523,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f13522]) ).
fof(f13534,plain,
( sQ111_spl
| ~ sQ118_spl
| ~ sQ49_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f13305,f624,f614,f914,f885]) ).
fof(f13535,plain,
( ~ sQ118_spl
| ~ sQ49_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f13237,f533,f614,f914]) ).
fof(f13575,plain,
( ~ sQ173_spl
| ~ sQ27_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f13420,f552,f542,f1150]) ).
fof(f13578,plain,
( ~ sQ121_spl
| ~ sQ49_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f615,f928]) ).
fof(f13580,plain,
( sQ122_spl
| ~ sQ49_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f615,f933]) ).
fof(f13581,plain,
( sQ123_spl
| ~ sQ49_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f615,f937]) ).
fof(f13582,plain,
( sQ124_spl
| ~ sQ49_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f615,f941]) ).
fof(f13671,plain,
( ~ sQ148_spl
| ~ sQ27_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f13385,f89]) ).
fof(f13808,plain,
( sQ122_spl
| ~ sQ49_spl
| ~ sQ4_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f469,f13580]) ).
fof(f13809,plain,
( sQ122_spl
| ~ sQ49_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13808]) ).
fof(f13810,plain,
( sQ122_spl
| ~ sQ49_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f13809]) ).
fof(f13835,plain,
( sQ180_spl
| ~ sQ24_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f11497,f620,f533,f1180]) ).
fof(f13848,plain,
( sQ94_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f12755,f624,f640,f656,f814]) ).
fof(f13852,plain,
( ~ sQ102_spl
| ~ sQ57_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f12401,f468,f640,f847]) ).
fof(f13867,plain,
( ~ sQ121_spl
| ~ sQ12_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f11836,f611,f494,f927]) ).
fof(f13871,plain,
( ~ sQ118_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3988,f650,f620,f914]) ).
fof(f13874,plain,
( sQ187_spl
| ~ sQ21_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f9901,f578,f523,f1212]) ).
fof(f13875,plain,
( sQ214_spl
| ~ sQ10_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f488,f1330]) ).
fof(f13879,plain,
( ~ sQ103_spl
| ~ sQ58_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f5736,f536,f643,f851]) ).
fof(f13884,plain,
( ~ sQ224_spl
| ~ sQ194_spl
| ~ sQ18_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f11764,f591,f513,f1242,f1371]) ).
fof(f13938,plain,
( ~ sQ146_spl
| ~ sQ89_spl
| ~ sQ41_spl
| op(e3,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f13415,f1036]) ).
fof(f13940,plain,
( ~ sQ146_spl
| ~ sQ89_spl
| ~ sQ41_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f13938,f630,f588,f794,f1035]) ).
fof(f13988,plain,
( sQ201_spl
| ~ sQ121_spl
| ~ sQ51_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f13989,f1273]) ).
fof(f13989,plain,
( ~ sQ121_spl
| ~ sQ51_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f621,f928]) ).
fof(f13990,plain,
( sQ201_spl
| ~ sQ121_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f13988,f620,f927,f1271]) ).
fof(f14140,plain,
( sQ188_spl
| ~ sQ21_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f524,f1218]) ).
fof(f14148,plain,
( ~ sQ114_spl
| ~ sQ52_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f625,f898]) ).
fof(f14149,plain,
( ~ sQ114_spl
| ~ sQ52_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f560,f14148]) ).
fof(f14150,plain,
( ~ sQ114_spl
| ~ sQ52_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14149,f127]) ).
fof(f14151,plain,
( ~ sQ114_spl
| ~ sQ52_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f14150]) ).
fof(f14219,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f625,f2990]) ).
fof(f14337,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| e0 = op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f654,f815]) ).
fof(f14338,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f625,f14337]) ).
fof(f14339,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ51_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f621,f14338]) ).
fof(f14340,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14339,f128]) ).
fof(f14341,plain,
( ~ sQ94_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f14340]) ).
fof(f14357,plain,
( ~ sQ148_spl
| ~ sQ27_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f1045]) ).
fof(f14391,plain,
( ~ sQ210_spl
| ~ sQ102_spl
| ~ sQ58_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f5733,f1311]) ).
fof(f14392,plain,
( ~ sQ210_spl
| ~ sQ102_spl
| ~ sQ58_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f459,f14391]) ).
fof(f14393,plain,
( ~ sQ210_spl
| ~ sQ102_spl
| ~ sQ58_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14392,f129]) ).
fof(f14394,plain,
( ~ sQ210_spl
| ~ sQ102_spl
| ~ sQ58_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f14393]) ).
fof(f14395,plain,
( ~ sQ148_spl
| ~ sQ27_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f14357,f581,f542,f1044]) ).
fof(f14430,plain,
( ~ sQ148_spl
| ~ sQ27_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f13671,f633,f542,f1044]) ).
fof(f14449,plain,
( sQ119_spl
| ~ sQ49_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f13440,f516,f614,f918]) ).
fof(f14479,plain,
( sQ117_spl
| ~ sQ49_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f13439,f624,f614,f910]) ).
fof(f14482,plain,
( ~ sQ107_spl
| ~ sQ111_spl
| ~ sQ28_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f547,f10538]) ).
fof(f14490,plain,
( sQ123_spl
| ~ sQ49_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f13581,f523,f614,f935]) ).
fof(f14491,plain,
( sQ124_spl
| ~ sQ49_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f13582,f578,f614,f939]) ).
fof(f14494,plain,
( sQ107_spl
| ~ sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f6427,f653,f633,f868]) ).
fof(f14626,plain,
( ~ sQ1_spl
| sQ192_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f6422]) ).
fof(f14627,plain,
( ~ sQ1_spl
| sQ192_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f14626]) ).
fof(f14657,plain,
( sQ148_spl
| ~ sQ137_spl
| ~ sQ41_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f8551,f1046]) ).
fof(f14658,plain,
( sQ148_spl
| ~ sQ137_spl
| ~ sQ41_spl
| ~ sQ136_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f13128,f14657]) ).
fof(f14659,plain,
( sQ148_spl
| ~ sQ137_spl
| ~ sQ41_spl
| ~ sQ136_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f14658]) ).
fof(f14660,plain,
( sQ148_spl
| ~ sQ137_spl
| ~ sQ41_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f14659]) ).
fof(f14661,plain,
( sQ97_spl
| ~ sQ56_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f13462,f617,f637,f826]) ).
fof(f14662,plain,
( ~ sQ207_spl
| ~ sQ14_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f9950,f646,f500,f1297]) ).
fof(f14663,plain,
( sQ108_spl
| ~ sQ65_spl
| ~ sQ61_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f9219,f874]) ).
fof(f14664,plain,
( sQ108_spl
| ~ sQ65_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f654,f14663]) ).
fof(f14665,plain,
( sQ108_spl
| ~ sQ65_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f14664]) ).
fof(f14666,plain,
( sQ108_spl
| ~ sQ65_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f14665]) ).
fof(f14668,plain,
( sQ111_spl
| ~ sQ31_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f13055,f633,f555,f885]) ).
fof(f14924,plain,
( ~ sQ118_spl
| ~ sQ121_spl
| ~ sQ14_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f9951,f915]) ).
fof(f14925,plain,
( sQ117_spl
| ~ sQ121_spl
| ~ sQ14_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f9951,f912]) ).
fof(f14926,plain,
( sQ117_spl
| ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f638,f14925]) ).
fof(f14927,plain,
( sQ117_spl
| ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f14926]) ).
fof(f14928,plain,
( sQ117_spl
| ~ sQ121_spl
| ~ sQ14_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f14927]) ).
fof(f15000,plain,
( sQ91_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f14219,f617,f624,f653,f802]) ).
fof(f15071,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| ~ sQ28_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f8700,f1243]) ).
fof(f15239,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| ~ sQ28_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f15071,f86]) ).
fof(f15290,plain,
( ~ sQ210_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f482,f1311]) ).
fof(f15291,plain,
( ~ sQ210_spl
| ~ sQ8_spl
| ~ sQ3_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f465,f15290]) ).
fof(f15292,plain,
( ~ sQ210_spl
| ~ sQ8_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15291,f131]) ).
fof(f15293,plain,
( ~ sQ210_spl
| ~ sQ8_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f15292]) ).
fof(f15294,plain,
( sQ210_spl
| ~ sQ8_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f482,f1312]) ).
fof(f15297,plain,
( ~ sQ201_spl
| ~ sQ14_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f501,f1272]) ).
fof(f15298,plain,
( ~ sQ201_spl
| ~ sQ14_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f566,f15297]) ).
fof(f15299,plain,
( ~ sQ201_spl
| ~ sQ14_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15298,f131]) ).
fof(f15300,plain,
( ~ sQ201_spl
| ~ sQ14_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f15299]) ).
fof(f15502,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f573,f1032]) ).
fof(f15503,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f482,f15502]) ).
fof(f15504,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15503,f126]) ).
fof(f15505,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f15504]) ).
fof(f15533,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f13433,f617,f637,f826]) ).
fof(f15539,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f15502,f484,f572,f1031]) ).
fof(f15557,plain,
( ~ sQ187_spl
| ~ sQ23_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f530,f1213]) ).
fof(f15558,plain,
( ~ sQ187_spl
| ~ sQ23_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f608,f15557]) ).
fof(f15559,plain,
( ~ sQ187_spl
| ~ sQ23_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15558,f131]) ).
fof(f15560,plain,
( ~ sQ187_spl
| ~ sQ23_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f15559]) ).
fof(f15567,plain,
( ~ sQ149_spl
| ~ sQ36_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f573,f1049]) ).
fof(f15569,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| ~ sQ28_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f15071,f471,f546,f1133,f1242]) ).
fof(f15570,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| ~ sQ28_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f15239,f627,f546,f1133,f1242]) ).
fof(f15596,plain,
( sQ175_spl
| ~ sQ137_spl
| ~ sQ41_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f8551,f1160]) ).
fof(f15597,plain,
( sQ175_spl
| ~ sQ137_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f589,f15596]) ).
fof(f15598,plain,
( sQ175_spl
| ~ sQ137_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15597]) ).
fof(f15599,plain,
( sQ175_spl
| ~ sQ137_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f15598]) ).
fof(f15600,plain,
( ~ sQ201_spl
| ~ sQ166_spl
| ~ sQ28_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f12787,f516,f546,f1119,f1271]) ).
fof(f15611,plain,
( ~ sQ210_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f15290,f461,f481,f1310]) ).
fof(f15947,plain,
( sQ145_spl
| ~ sQ39_spl
| op(e3,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f582,f1033]) ).
fof(f16023,plain,
( ~ sQ151_spl
| ~ sQ39_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f582,f1057]) ).
fof(f16033,plain,
( sQ218_spl
| ~ sQ6_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f475,f1347]) ).
fof(f16054,plain,
( ~ sQ205_spl
| ~ sQ66_spl
| ~ sQ60_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f9343,f1290]) ).
fof(f16068,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f9361,f915]) ).
fof(f16069,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ46_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f605,f16068]) ).
fof(f16070,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16069,f127]) ).
fof(f16071,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f16070]) ).
fof(f16080,plain,
( ~ sQ107_spl
| ~ sQ111_spl
| ~ sQ28_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f14482,f614,f546,f885,f868]) ).
fof(f16083,plain,
( sQ148_spl
| ~ sQ38_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f12831,f539,f578,f1044]) ).
fof(f16092,plain,
( ~ sQ201_spl
| ~ sQ14_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f15297,f568,f500,f1271]) ).
fof(f16123,plain,
( sQ113_spl
| ~ sQ111_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f10646,f1133,f885,f893]) ).
fof(f16127,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f8147,f591,f461,f1400]) ).
fof(f16128,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10183,f578,f461,f1400]) ).
fof(f16129,plain,
( ~ sQ230_spl
| ~ sQ2_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f10182,f539,f461,f1400]) ).
fof(f16373,plain,
( sQ118_spl
| ~ sQ121_spl
| op(op(e0,e3),e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f928,f916]) ).
fof(f16546,plain,
( ~ sQ210_spl
| ~ sQ72_spl
| ~ sQ2_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f11377,f1311]) ).
fof(f16547,plain,
( ~ sQ210_spl
| ~ sQ72_spl
| ~ sQ2_spl
| ~ sQ169_spl
| ~ sQ28_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f8700,f16546]) ).
fof(f16548,plain,
( ~ sQ210_spl
| ~ sQ72_spl
| ~ sQ2_spl
| ~ sQ169_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16547,f129]) ).
fof(f16549,plain,
( ~ sQ210_spl
| ~ sQ72_spl
| ~ sQ2_spl
| ~ sQ169_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f16548]) ).
fof(f16576,plain,
( sQ118_spl
| ~ sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4122,f650,f620,f914]) ).
fof(f16584,plain,
( ~ sQ160_spl
| ~ sQ33_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f10968,f523,f562,f1094]) ).
fof(f16620,plain,
( sQ210_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f15294,f461,f481,f1310]) ).
fof(f16683,plain,
( ~ sQ161_spl
| ~ sQ33_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f12729,f578,f562,f1098]) ).
fof(f16685,plain,
( ~ sQ159_spl
| ~ sQ33_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f12564,f468,f562,f1090]) ).
fof(f16716,plain,
( sQ166_spl
| ~ sQ205_spl
| ~ sQ66_spl
| ~ sQ60_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f16054,f1121]) ).
fof(f16721,plain,
( sQ166_spl
| ~ sQ205_spl
| ~ sQ66_spl
| ~ sQ60_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f16716,f549,f650,f702,f1289,f1119]) ).
fof(f16957,plain,
( sQ216_spl
| ~ sQ8_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f482,f1338]) ).
fof(f16958,plain,
( sQ216_spl
| ~ sQ8_spl
| ~ sQ51_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f621,f16957]) ).
fof(f16959,plain,
( sQ216_spl
| ~ sQ8_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f16958]) ).
fof(f16960,plain,
( sQ216_spl
| ~ sQ8_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f16959]) ).
fof(f16961,plain,
( ~ sQ158_spl
| ~ sQ8_spl
| e0 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f482,f1087]) ).
fof(f16962,plain,
( ~ sQ158_spl
| ~ sQ8_spl
| ~ sQ33_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f563,f16961]) ).
fof(f16963,plain,
( ~ sQ158_spl
| ~ sQ8_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16962,f126]) ).
fof(f16964,plain,
( ~ sQ158_spl
| ~ sQ8_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f16963]) ).
fof(f16966,plain,
( ~ sQ148_spl
| ~ sQ26_spl
| e2 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f540,f1045]) ).
fof(f16967,plain,
( ~ sQ148_spl
| ~ sQ26_spl
| ~ sQ154_spl
| ~ sQ33_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f11010,f16966]) ).
fof(f16968,plain,
( ~ sQ148_spl
| ~ sQ26_spl
| ~ sQ154_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16967,f127]) ).
fof(f16969,plain,
( ~ sQ148_spl
| ~ sQ26_spl
| ~ sQ154_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f16968]) ).
fof(f17001,plain,
( ~ sQ158_spl
| ~ sQ33_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f563,f1087]) ).
fof(f17029,plain,
( sQ190_spl
| ~ sQ16_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f508,f1227]) ).
fof(f17030,plain,
( sQ190_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f508,f17029]) ).
fof(f17031,plain,
( sQ190_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f17030]) ).
fof(f17032,plain,
( sQ190_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f17031]) ).
fof(f17033,plain,
( sQ223_spl
| ~ sQ194_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f11740,f536,f513,f1242,f1367]) ).
fof(f17034,plain,
( ~ sQ118_spl
| ~ sQ49_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f13193,f546,f614,f914]) ).
fof(f17035,plain,
( sQ223_spl
| ~ sQ6_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f6919,f536,f474,f1367]) ).
fof(f17354,plain,
( ~ sQ194_spl
| ~ sQ6_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f475,f1243]) ).
fof(f17386,plain,
( ~ sQ161_spl
| ~ sQ35_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f569,f1099]) ).
fof(f17387,plain,
( sQ210_spl
| ~ sQ158_spl
| ~ sQ35_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f7197,f1312]) ).
fof(f17446,plain,
( ~ sQ201_spl
| ~ sQ121_spl
| ~ sQ49_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f13578,f1272]) ).
fof(f17447,plain,
( ~ sQ201_spl
| ~ sQ121_spl
| ~ sQ49_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f514,f17446]) ).
fof(f17448,plain,
( ~ sQ201_spl
| ~ sQ121_spl
| ~ sQ49_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17447,f131]) ).
fof(f17449,plain,
( ~ sQ201_spl
| ~ sQ121_spl
| ~ sQ49_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f17448]) ).
fof(f17522,plain,
( sQ104_spl
| ~ sQ56_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f13416,f565,f637,f855]) ).
fof(f17523,plain,
( sQ102_spl
| ~ sQ56_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13387,f455,f637,f847]) ).
fof(f17537,plain,
( ~ sQ158_spl
| ~ sQ9_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f10851,f562,f484,f1086]) ).
fof(f17757,plain,
( ~ sQ158_spl
| ~ sQ9_spl
| e1 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f1087]) ).
fof(f17992,plain,
( ~ sQ210_spl
| ~ sQ9_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f485,f1311]) ).
fof(f17993,plain,
( ~ sQ210_spl
| ~ sQ9_spl
| ~ sQ194_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f9908,f17992]) ).
fof(f17994,plain,
( ~ sQ210_spl
| ~ sQ9_spl
| ~ sQ194_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17993,f131]) ).
fof(f17995,plain,
( ~ sQ210_spl
| ~ sQ9_spl
| ~ sQ194_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f17994]) ).
fof(f18000,plain,
( ~ sQ155_spl
| ~ sQ158_spl
| ~ sQ9_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f17757,f1074]) ).
fof(f18001,plain,
( ~ sQ155_spl
| ~ sQ158_spl
| ~ sQ9_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f540,f18000]) ).
fof(f18002,plain,
( ~ sQ155_spl
| ~ sQ158_spl
| ~ sQ9_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18001,f127]) ).
fof(f18003,plain,
( ~ sQ155_spl
| ~ sQ158_spl
| ~ sQ9_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f18002]) ).
fof(f18004,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| op(e2,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f9361,f915]) ).
fof(f18005,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f608,f18004]) ).
fof(f18006,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18005,f128]) ).
fof(f18007,plain,
( ~ sQ118_spl
| ~ sQ95_spl
| ~ sQ60_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f18006]) ).
fof(f18016,plain,
( ~ sQ158_spl
| ~ sQ33_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f17001,f484,f562,f1086]) ).
fof(f18023,plain,
( sQ201_spl
| ~ sQ13_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f8572,f516,f497,f1271]) ).
fof(f18035,plain,
( sQ214_spl
| ~ sQ10_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f13875,f536,f487,f1328]) ).
fof(f18055,plain,
( sQ37_spl
| ~ sQ148_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1045,f577]) ).
fof(f18057,plain,
( sQ145_spl
| ~ sQ148_spl
| op(op(e1,e2),e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f1045,f1033]) ).
fof(f18081,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f563,f114]) ).
fof(f18082,plain,
( ~ sQ33_spl
| ~ sQ148_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1045,f18081]) ).
fof(f18099,plain,
( sQ119_spl
| ~ sQ50_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f618,f920]) ).
fof(f18100,plain,
( sQ117_spl
| ~ sQ50_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f618,f912]) ).
fof(f18102,plain,
( sQ117_spl
| ~ sQ50_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f18100,f637,f617,f910]) ).
fof(f18429,plain,
( sQ201_spl
| ~ sQ14_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f501,f1273]) ).
fof(f18529,plain,
( sQ168_spl
| ~ sQ31_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f556,f1131]) ).
fof(f18531,plain,
( ~ sQ128_spl
| ~ sQ44_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f599,f957]) ).
fof(f18532,plain,
( ~ sQ128_spl
| ~ sQ44_spl
| ~ sQ175_spl
| ~ sQ24_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f11121,f18531]) ).
fof(f18533,plain,
( ~ sQ128_spl
| ~ sQ44_spl
| ~ sQ175_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18532,f130]) ).
fof(f18534,plain,
( ~ sQ128_spl
| ~ sQ44_spl
| ~ sQ175_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f18533]) ).
fof(f18546,plain,
( ~ sQ128_spl
| ~ sQ44_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f18531,f490,f598,f956]) ).
fof(f18658,plain,
( sQ134_spl
| ~ sQ44_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f599,f984]) ).
fof(f18659,plain,
( sQ131_spl
| ~ sQ44_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f599,f972]) ).
fof(f18678,plain,
( ~ sQ218_spl
| ~ sQ194_spl
| ~ sQ18_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f11747,f484,f513,f1242,f1345]) ).
fof(f18682,plain,
( ~ sQ33_spl
| ~ sQ148_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f18082,f536,f1044,f562]) ).
fof(f18685,plain,
( sQ37_spl
| ~ sQ148_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f18055,f536,f1044,f575]) ).
fof(f18686,plain,
( sQ131_spl
| ~ sQ44_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f18659,f455,f598,f970]) ).
fof(f18688,plain,
( sQ134_spl
| ~ sQ44_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f18658,f620,f598,f982]) ).
fof(f18689,plain,
( sQ210_spl
| ~ sQ158_spl
| ~ sQ35_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f17387,f617,f568,f1086,f1310]) ).
fof(f18690,plain,
( sQ119_spl
| ~ sQ50_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f18099,f568,f617,f918]) ).
fof(f19139,plain,
( sQ215_spl
| ~ sQ11_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f491,f1334]) ).
fof(f19140,plain,
( sQ215_spl
| ~ sQ11_spl
| ~ sQ161_spl
| ~ sQ35_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f17386,f19139]) ).
fof(f19141,plain,
( sQ215_spl
| ~ sQ11_spl
| ~ sQ161_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f19140]) ).
fof(f19142,plain,
( sQ215_spl
| ~ sQ11_spl
| ~ sQ161_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f19141]) ).
fof(f19193,plain,
( ~ sQ155_spl
| ~ sQ33_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f10160,f533,f562,f1073]) ).
fof(f19284,plain,
( sQ179_spl
| ~ sQ24_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f11124,f565,f533,f1176]) ).
fof(f19289,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f11203,f565,f650,f722]) ).
fof(f19297,plain,
( ~ sQ194_spl
| ~ sQ30_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9549,f474,f552,f1242]) ).
fof(f19306,plain,
( ~ sQ194_spl
| ~ sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f17354,f513,f474,f1242]) ).
fof(f19309,plain,
( ~ sQ200_spl
| ~ sQ13_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f13116,f477,f497,f1267]) ).
fof(f19312,plain,
( sQ230_spl
| ~ sQ0_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5099,f565,f455,f1400]) ).
fof(f19315,plain,
( sQ151_spl
| ~ sQ36_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f6361,f565,f572,f1056]) ).
fof(f19317,plain,
( sQ188_spl
| ~ sQ21_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f14140,f633,f523,f1216]) ).
fof(f19319,plain,
( sQ80_spl
| ~ sQ20_spl
| ~ sQ83_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f8055,f552,f770,f520,f758]) ).
fof(f19327,plain,
( sQ80_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f6838,f552,f516,f520,f758]) ).
fof(f19329,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| ~ sQ43_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f11441,f542,f594,f786,f956]) ).
fof(f19330,plain,
( ~ sQ118_spl
| ~ sQ121_spl
| ~ sQ14_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f14924,f598,f500,f927,f914]) ).
fof(f19331,plain,
( sQ205_spl
| ~ sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f11730,f510,f494,f1289]) ).
fof(f19332,plain,
( ~ sQ149_spl
| ~ sQ36_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15567,f455,f572,f1048]) ).
fof(f19333,plain,
( sQ118_spl
| ~ sQ121_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f16373,f1275,f927,f914]) ).
fof(f19334,plain,
( sQ112_spl
| ~ sQ111_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f10645,f1129,f885,f889]) ).
fof(f19335,plain,
( sQ168_spl
| ~ sQ31_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f18529,f494,f555,f1129]) ).
fof(f19337,plain,
( sQ225_spl
| ~ sQ5_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3761,f633,f471,f1375]) ).
fof(f19809,plain,
( ~ sQ128_spl
| ~ sQ45_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f602,f957]) ).
fof(f19810,plain,
( ~ sQ128_spl
| ~ sQ45_spl
| ~ sQ78_spl
| ~ sQ22_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f4553,f19809]) ).
fof(f19811,plain,
( ~ sQ128_spl
| ~ sQ45_spl
| ~ sQ78_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19810,f128]) ).
fof(f19812,plain,
( ~ sQ128_spl
| ~ sQ45_spl
| ~ sQ78_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f19811]) ).
fof(f19830,plain,
( sQ201_spl
| ~ sQ14_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f18429,f568,f500,f1271]) ).
fof(f19899,plain,
( ~ sQ187_spl
| ~ sQ22_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f527,f1213]) ).
fof(f20186,plain,
( sQ202_spl
| ~ sQ14_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f501,f1277]) ).
fof(f20345,plain,
( ~ sQ201_spl
| ~ sQ72_spl
| ~ sQ3_spl
| op(e1,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f12618,f1272]) ).
fof(f20347,plain,
( ~ sQ201_spl
| ~ sQ72_spl
| ~ sQ3_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f20345,f516,f464,f727,f1271]) ).
fof(f20348,plain,
( ~ sQ210_spl
| ~ sQ72_spl
| ~ sQ2_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f16546,f513,f461,f727,f1310]) ).
fof(f20349,plain,
( ~ sQ210_spl
| ~ sQ9_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f17992,f513,f484,f1310]) ).
fof(f20372,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f11106,f536,f552,f1133]) ).
fof(f20374,plain,
( sQ129_spl
| ~ sQ45_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3498,f552,f601,f960]) ).
fof(f20375,plain,
( ~ sQ128_spl
| ~ sQ45_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f19809,f542,f601,f956]) ).
fof(f20921,plain,
( sQ107_spl
| ~ sQ53_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f628,f870]) ).
fof(f20922,plain,
( sQ107_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f628,f20921]) ).
fof(f20923,plain,
( sQ107_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f20922]) ).
fof(f20924,plain,
( sQ107_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f20923]) ).
fof(f20928,plain,
( sQ202_spl
| ~ sQ14_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f20186,f598,f500,f1275]) ).
fof(f20972,plain,
( sQ145_spl
| ~ sQ39_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f15947,f640,f581,f1031]) ).
fof(f20975,plain,
( ~ sQ151_spl
| ~ sQ39_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f16023,f604,f581,f1056]) ).
fof(f20976,plain,
( sQ150_spl
| ~ sQ39_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f13486,f549,f581,f1052]) ).
fof(f20985,plain,
( sQ145_spl
| ~ sQ148_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f18057,f1158,f1044,f1031]) ).
fof(f21006,plain,
( sQ218_spl
| ~ sQ6_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16033,f484,f474,f1345]) ).
fof(f21528,plain,
( sQ124_spl
| ~ sQ50_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f618,f941]) ).
fof(f21529,plain,
( sQ124_spl
| ~ sQ50_spl
| ~ sQ187_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f19899,f21528]) ).
fof(f21530,plain,
( sQ124_spl
| ~ sQ50_spl
| ~ sQ187_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21529]) ).
fof(f21531,plain,
( sQ124_spl
| ~ sQ50_spl
| ~ sQ187_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f21530]) ).
fof(f21532,plain,
$false,
inference(sat_refutation,[status(thm)],[f467,f480,f493,f506,f519,f532,f545,f558,f571,f584,f597,f610,f623,f636,f649,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f701,f705,f706,f713,f717,f721,f725,f726,f733,f737,f741,f745,f749,f750,f757,f761,f765,f769,f773,f774,f781,f785,f789,f793,f797,f798,f805,f809,f813,f817,f821,f822,f829,f833,f837,f838,f846,f850,f854,f858,f862,f863,f864,f871,f875,f879,f880,f881,f888,f892,f896,f900,f904,f905,f913,f917,f921,f922,f930,f934,f938,f942,f946,f947,f955,f959,f963,f964,f969,f973,f977,f981,f985,f986,f987,f994,f998,f999,f1000,f1012,f1016,f1017,f1021,f1022,f1023,f1030,f1034,f1038,f1039,f1040,f1047,f1051,f1055,f1059,f1063,f1064,f1065,f1072,f1076,f1080,f1081,f1082,f1089,f1093,f1097,f1101,f1105,f1106,f1107,f1114,f1118,f1122,f1123,f1128,f1132,f1136,f1140,f1144,f1145,f1146,f1153,f1157,f1161,f1162,f1163,f1167,f1171,f1175,f1179,f1183,f1184,f1185,f1192,f1196,f1197,f1198,f1210,f1211,f1215,f1219,f1220,f1221,f1228,f1232,f1236,f1237,f1238,f1245,f1249,f1253,f1257,f1261,f1262,f1270,f1274,f1278,f1279,f1280,f1284,f1288,f1292,f1296,f1300,f1301,f1302,f1309,f1313,f1317,f1318,f1319,f1323,f1327,f1331,f1335,f1339,f1340,f1341,f1348,f1352,f1356,f1357,f1358,f1362,f1366,f1370,f1374,f1378,f1379,f1380,f1384,f1388,f1389,f1395,f1399,f1403,f1407,f1408,f1417,f1424,f1434,f1437,f1440,f1449,f1453,f1457,f1461,f1465,f1468,f1482,f1487,f1492,f1495,f1498,f1501,f1505,f1508,f1511,f1516,f1519,f1522,f1525,f1526,f1534,f1537,f1541,f1544,f1549,f1573,f1582,f1585,f1586,f1588,f1593,f1596,f1599,f1603,f1604,f1605,f1608,f1609,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1629,f1639,f1660,f1662,f1664,f1665,f1668,f1669,f1673,f1679,f1682,f1683,f1689,f1693,f1698,f1699,f1701,f1704,f1705,f1706,f1707,f1708,f1710,f1711,f1712,f1713,f1717,f1718,f1723,f1724,f1725,f1737,f1738,f1739,f1740,f1750,f1752,f1755,f1829,f1831,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1845,f1846,f1847,f1848,f1849,f1850,f1851,f1852,f1853,f1862,f1870,f1871,f1872,f1874,f1879,f1880,f1881,f1883,f1884,f1885,f1886,f1887,f1888,f1889,f1890,f1892,f1956,f1961,f1973,f1976,f1981,f1982,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2059,f2061,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2108,f2236,f2254,f2260,f2269,f2273,f2285,f2287,f2290,f2291,f2293,f2294,f2297,f2298,f2299,f2300,f2301,f2302,f2303,f2304,f2305,f2306,f2308,f2309,f2310,f2312,f2313,f2315,f2316,f2317,f2324,f2326,f2329,f2337,f2339,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2356,f2357,f2359,f2407,f2427,f2428,f2431,f2524,f2526,f2547,f2566,f2570,f2576,f2586,f2587,f2588,f2609,f2625,f2626,f2638,f2643,f2647,f2648,f2653,f2654,f2694,f2719,f2764,f2779,f2782,f2783,f2784,f2785,f2787,f2788,f2789,f2792,f2793,f2794,f2795,f2796,f2797,f2799,f2800,f2801,f2802,f2804,f2806,f2809,f2810,f2811,f2812,f2813,f2814,f2815,f2816,f2833,f2837,f2843,f2855,f2856,f2862,f2863,f2865,f2867,f2868,f2872,f2873,f2874,f2877,f2878,f2879,f2880,f2881,f2884,f2885,f2886,f2887,f2888,f2890,f2891,f2893,f2894,f2895,f2896,f2897,f2898,f2900,f2903,f2908,f2915,f2916,f2923,f2924,f2928,f2932,f2933,f2948,f2949,f2961,f2968,f3178,f3184,f3195,f3198,f3199,f3202,f3203,f3204,f3205,f3206,f3231,f3233,f3234,f3235,f3236,f3237,f3238,f3239,f3240,f3243,f3244,f3248,f3249,f3250,f3258,f3259,f3260,f3262,f3264,f3266,f3267,f3268,f3304,f3435,f3439,f3446,f3496,f3502,f3531,f3533,f3538,f3542,f3543,f3544,f3545,f3546,f3550,f3551,f3552,f3554,f3567,f3589,f3619,f3620,f3627,f3646,f3661,f3662,f3664,f3678,f3679,f3680,f3681,f3682,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3692,f3750,f3767,f3775,f3780,f3781,f3782,f3783,f3785,f3786,f3787,f3808,f3813,f3858,f3859,f3865,f3876,f3881,f3943,f3951,f3965,f3968,f3994,f4004,f4011,f4020,f4023,f4027,f4028,f4034,f4041,f4042,f4045,f4052,f4054,f4064,f4068,f4082,f4084,f4086,f4087,f4103,f4120,f4136,f4142,f4152,f4154,f4190,f4194,f4198,f4202,f4209,f4229,f4230,f4266,f4275,f4296,f4298,f4333,f4342,f4347,f4361,f4393,f4396,f4436,f4442,f4457,f4461,f4466,f4467,f4468,f4470,f4475,f4482,f4488,f4535,f4539,f4540,f4541,f4542,f4544,f4545,f4548,f4549,f4550,f4551,f4555,f4635,f4667,f4674,f4677,f4681,f4689,f4690,f4691,f4692,f4706,f4719,f4761,f4807,f4832,f4861,f4867,f4868,f4872,f4875,f4879,f4881,f4884,f4893,f4894,f4895,f4897,f4898,f4900,f4901,f4903,f4905,f4916,f4929,f4971,f5023,f5043,f5107,f5108,f5110,f5112,f5113,f5121,f5122,f5124,f5125,f5126,f5130,f5131,f5146,f5171,f5174,f5175,f5179,f5195,f5201,f5206,f5212,f5215,f5222,f5233,f5234,f5236,f5237,f5238,f5239,f5240,f5241,f5242,f5245,f5335,f5370,f5376,f5379,f5384,f5385,f5396,f5401,f5436,f5550,f5551,f5561,f5566,f5605,f5616,f5618,f5621,f5624,f5626,f5627,f5629,f5630,f5632,f5634,f5635,f5637,f5690,f5710,f5730,f5735,f5739,f5743,f5747,f5756,f5801,f5802,f5803,f5804,f5805,f5808,f5809,f5811,f5812,f5813,f5816,f5820,f5821,f5822,f5824,f5825,f5826,f5827,f5829,f5831,f5832,f5833,f5834,f5835,f5836,f5837,f5839,f5840,f5841,f5842,f5982,f5988,f5993,f5998,f6000,f6001,f6013,f6029,f6030,f6132,f6135,f6141,f6152,f6153,f6154,f6158,f6172,f6307,f6312,f6333,f6421,f6432,f6437,f6438,f6439,f6457,f6477,f6492,f6498,f6503,f6563,f6693,f6716,f6721,f6743,f6750,f6762,f6771,f6785,f6798,f6803,f6805,f6867,f6929,f6949,f6954,f6969,f7017,f7019,f7032,f7034,f7035,f7039,f7149,f7152,f7181,f7183,f7194,f7310,f7398,f7408,f7469,f7472,f7496,f7512,f7535,f7536,f7655,f7661,f7676,f7696,f7697,f7699,f7702,f7704,f7709,f7724,f7728,f7731,f7735,f7748,f7749,f7757,f7759,f7763,f7764,f7765,f7766,f7767,f7770,f7773,f7781,f7790,f7876,f7931,f7932,f8020,f8085,f8151,f8168,f8336,f8345,f8351,f8363,f8365,f8366,f8367,f8368,f8369,f8370,f8371,f8372,f8373,f8576,f8642,f8660,f8661,f8668,f8671,f8675,f8676,f8707,f8744,f9022,f9082,f9100,f9120,f9127,f9129,f9133,f9134,f9141,f9181,f9205,f9206,f9211,f9225,f9226,f9495,f9509,f9527,f9561,f9565,f9604,f9820,f9846,f9851,f9896,f9906,f9917,f9923,f9941,f9953,f9956,f9960,f10008,f10071,f10080,f10094,f10095,f10102,f10114,f10122,f10125,f10129,f10132,f10136,f10139,f10144,f10151,f10155,f10240,f10280,f10329,f10516,f10536,f10542,f10555,f10556,f10609,f10633,f10635,f10642,f10667,f10670,f10673,f10675,f10676,f10677,f10680,f10682,f10795,f10825,f10827,f10832,f10836,f10837,f10840,f10841,f10918,f10930,f10953,f10963,f10985,f10993,f10995,f10996,f11003,f11004,f11008,f11012,f11016,f11017,f11019,f11432,f11438,f11472,f11484,f11485,f11491,f11495,f11501,f11669,f11738,f11803,f11839,f11845,f11936,f11996,f12001,f12004,f12008,f12012,f12013,f12016,f12322,f12341,f12390,f12406,f12423,f12790,f13091,f13133,f13140,f13340,f13361,f13362,f13394,f13398,f13399,f13403,f13425,f13426,f13436,f13444,f13514,f13523,f13534,f13535,f13575,f13810,f13835,f13848,f13852,f13867,f13871,f13874,f13879,f13884,f13940,f13990,f14151,f14341,f14394,f14395,f14430,f14449,f14479,f14490,f14491,f14494,f14627,f14660,f14661,f14662,f14666,f14668,f14928,f15000,f15293,f15300,f15505,f15533,f15539,f15560,f15569,f15570,f15599,f15600,f15611,f16071,f16080,f16083,f16092,f16123,f16127,f16128,f16129,f16549,f16576,f16584,f16620,f16683,f16685,f16721,f16960,f16964,f16969,f17032,f17033,f17034,f17035,f17449,f17522,f17523,f17537,f17995,f18003,f18007,f18016,f18023,f18035,f18102,f18534,f18546,f18678,f18682,f18685,f18686,f18688,f18689,f18690,f19142,f19193,f19284,f19289,f19297,f19306,f19309,f19312,f19315,f19317,f19319,f19327,f19329,f19330,f19331,f19332,f19333,f19334,f19335,f19337,f19812,f19830,f20347,f20348,f20349,f20372,f20374,f20375,f20924,f20928,f20972,f20975,f20976,f20985,f21006,f21531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG157+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.54 % Computer : n020.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Mon Sep 21 13:00:33 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.14/0.56 % Drodi V4.1.1
% 77.92/10.50 % Refutation found
% 77.92/10.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 77.92/10.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 45.04/11.70 % Elapsed time: 10.934402 seconds
% 45.04/11.70 % CPU time: 75.374788 seconds
% 45.04/11.70 % Total memory used: 238.516 MB
% 45.04/11.70 % Net memory used: 233.705 MB
%------------------------------------------------------------------------------