%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG131+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:32 AM UTC 2026
% Result : Unsatisfiable 5.59s 1.31s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 163
% Syntax : Number of formulae : 1701 ( 55 unt; 134 def)
% Number of atoms : 5956 (2652 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7851 (3596 ~;3094 |;1013 &)
% ( 148 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e3)) = e2
| op(e1,op(e1,e3)) = e1
| op(e0,op(e0,e3)) = e0 )
& ( op(e3,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| op(e1,op(e1,e2)) = e1
| op(e0,op(e0,e2)) = e0 )
& ( op(e3,op(e3,e1)) = e3
| op(e2,op(e2,e1)) = e2
| op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e0 )
& ( op(e3,op(e3,e0)) = e3
| op(e2,op(e2,e0)) = e2
| op(e1,op(e1,e0)) = e1
| op(e0,op(e0,e0)) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP0_prd )
& ( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e3)) = e2
| op(e1,op(e1,e3)) = e1
| op(e0,op(e0,e3)) = e0 )
& ( op(e3,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| op(e1,op(e1,e2)) = e1
| op(e0,op(e0,e2)) = e0 )
& ( op(e3,op(e3,e1)) = e3
| op(e2,op(e2,e1)) = e2
| op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e0 )
& ( op(e3,op(e3,e0)) = e3
| op(e2,op(e2,e0)) = e2
| op(e1,op(e1,e0)) = e1
| op(e0,op(e0,e0)) = e0 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e3,op(e3,e0)) = e3
| op(e2,op(e2,e0)) = e2
| op(e1,op(e1,e0)) = e1
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(e3,op(e3,e1)) = e3
| op(e2,op(e2,e1)) = e2
| op(e1,op(e1,e1)) = e1
| op(e0,op(e0,e1)) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e3,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| op(e1,op(e1,e2)) = e1
| op(e0,op(e0,e2)) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e3,op(e3,e3)) = e3
| op(e2,op(e2,e3)) = e2
| op(e1,op(e1,e3)) = e1
| op(e0,op(e0,e3)) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e1,e1) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e2,e2) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f147,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f149,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f151,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f155,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f161,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f163,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f187,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,definition,
( sP1_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,e2) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e2,e3) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(e0,e0) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
( op(e1,e1) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
( op(e2,e2) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,plain,
( op(e3,e3) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f201,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f203,definition,
( sP2_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f204,plain,
( sP1_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f203]) ).
fof(f205,plain,
( ( ( ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e3,e1) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e1,e3) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
( op(e0,e0) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f209,plain,
( op(e1,e1) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
( op(e2,e2) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f211,plain,
( op(e3,e3) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f214,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f215,plain,
( sP2_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f214]) ).
fof(f216,plain,
( ( ( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e3,e0) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e0,e3) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( op(e0,e0) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f220,plain,
( op(e1,e1) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( op(e2,e2) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f222,plain,
( op(e3,e3) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f223,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f225,definition,
( sP4_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f226,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f225]) ).
fof(f227,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( op(e2,e3) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e3,e2) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f230,plain,
( op(e0,e0) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f231,plain,
( op(e1,e1) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f232,plain,
( op(e2,e2) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f233,plain,
( op(e3,e3) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f234,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f236,definition,
( sP5_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f237,plain,
( sP4_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f225,f236]) ).
fof(f238,plain,
( ( ( ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e0,e0) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f242,plain,
( op(e1,e1) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f243,plain,
( op(e2,e2) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f244,plain,
( op(e3,e3) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f245,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f247,definition,
( sP6_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f248,plain,
( sP5_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f236,f247]) ).
fof(f249,plain,
( ( ( ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e2,e1) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( op(e1,e2) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,plain,
( op(e0,e0) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,plain,
( op(e1,e1) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f254,plain,
( op(e2,e2) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f255,plain,
( op(e3,e3) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f256,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f257,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e2) != e2
| op(e2,e1) != e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f258,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f259,plain,
( sP6_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f247,f258]) ).
fof(f260,plain,
( ( ( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e2,e0) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e0,e2) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( op(e0,e0) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
( op(e1,e1) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f265,plain,
( op(e2,e2) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,plain,
( op(e3,e3) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f267,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f269,definition,
( sP8_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f270,plain,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f269]) ).
fof(f271,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e1,e3) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e3,e1) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
( op(e0,e0) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
( op(e1,e1) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f276,plain,
( op(e2,e2) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f277,plain,
( op(e3,e3) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f278,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f280,definition,
( sP9_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f281,plain,
( sP8_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f269,f280]) ).
fof(f282,plain,
( ( ( ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e1,e2) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e2,e1) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
( op(e0,e0) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f286,plain,
( op(e1,e1) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f287,plain,
( op(e2,e2) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f288,plain,
( op(e3,e3) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f289,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f290,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f291,definition,
( sP10_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,plain,
( sP9_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f280,f291]) ).
fof(f293,plain,
( ( ( ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e1,e1) = e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f296,plain,
( op(e0,e0) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,plain,
( op(e1,e1) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f298,plain,
( op(e2,e2) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f299,plain,
( op(e3,e3) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f300,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f302,definition,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f303,plain,
( sP10_prd
<=> ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f302]) ).
fof(f304,plain,
( ( ( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
( op(e1,e0) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( op(e0,e1) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f307,plain,
( op(e0,e0) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f308,plain,
( op(e1,e1) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f309,plain,
( op(e2,e2) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f310,plain,
( op(e3,e3) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f311,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f312,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f313,definition,
( sP12_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f314,plain,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f302,f313]) ).
fof(f315,plain,
( ( ( ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op(e0,e3) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e3,e0) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e0,e0) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op(e1,e1) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f320,plain,
( op(e2,e2) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f321,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f323,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f324,definition,
( sP13_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f325,plain,
( sP12_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f324]) ).
fof(f326,plain,
( ( ( ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e0,e2) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e2,e0) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e0,e0) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( op(e1,e1) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( op(e2,e2) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f332,plain,
( op(e3,e3) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f333,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f334,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f335,definition,
( sP14_prd
<=> ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f336,plain,
( sP13_prd
<=> ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f335]) ).
fof(f337,plain,
( ( ( ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e0,e1) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e1,e0) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
( op(e0,e0) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f341,plain,
( op(e1,e1) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f342,plain,
( op(e2,e2) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f343,plain,
( op(e3,e3) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f344,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f345,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f346,plain,
( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP14_prd )
& ( ( op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f347,plain,
( op(e0,e0) = e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( op(e0,e0) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,plain,
( op(e1,e1) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( op(e2,e2) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,plain,
( op(e3,e3) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f354,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f354,f357,f360,f363]) ).
fof(f367,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f380,f383,f386,f389]) ).
fof(f393,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f393,f396,f399,f402]) ).
fof(f406,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f406,f409,f412,f415]) ).
fof(f419,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ21_spl
| op(e1,e1) != e1 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ22_spl
| op(e1,e1) != e2 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f419,f422,f425,f428]) ).
fof(f432,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ25_spl
| op(e1,e2) != e1 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f432,f435,f438,f441]) ).
fof(f445,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f445,f448,f451,f454]) ).
fof(f458,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ36_spl
| op(e2,e1) != e0 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ38_spl
| op(e2,e1) != e2 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ41_spl
| op(e2,e2) != e1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f549,f552,f555,f558]) ).
fof(f562,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f354,f367,f380,f393]) ).
fof(f563,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f354,f406,f458,f510]) ).
fof(f564,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f357,f370,f383,f396]) ).
fof(f565,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f357,f409,f461,f513]) ).
fof(f566,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f360,f373,f386,f399]) ).
fof(f567,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f360,f412,f464,f516]) ).
fof(f568,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f363,f376,f389,f402]) ).
fof(f569,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f363,f415,f467,f519]) ).
fof(f570,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f406,f419,f432,f445]) ).
fof(f571,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f367,f419,f471,f523]) ).
fof(f572,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f409,f422,f435,f448]) ).
fof(f573,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f370,f422,f474,f526]) ).
fof(f574,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f412,f425,f438,f451]) ).
fof(f575,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f373,f425,f477,f529]) ).
fof(f576,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f415,f428,f441,f454]) ).
fof(f577,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f376,f428,f480,f532]) ).
fof(f578,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f458,f471,f484,f497]) ).
fof(f579,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f380,f432,f484,f536]) ).
fof(f580,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f461,f474,f487,f500]) ).
fof(f581,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f383,f435,f487,f539]) ).
fof(f582,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f464,f477,f490,f503]) ).
fof(f583,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f386,f438,f490,f542]) ).
fof(f584,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f467,f480,f493,f506]) ).
fof(f585,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f389,f441,f493,f545]) ).
fof(f586,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f510,f523,f536,f549]) ).
fof(f587,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f393,f445,f497,f549]) ).
fof(f588,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f513,f526,f539,f552]) ).
fof(f589,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f396,f448,f500,f552]) ).
fof(f590,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f516,f529,f542,f555]) ).
fof(f591,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f399,f451,f503,f555]) ).
fof(f592,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f519,f532,f545,f558]) ).
fof(f593,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f402,f454,f506,f558]) ).
fof(f594,definition,
( sQ64_spl
<=> op(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ64_spl
| op(e0,op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ64_spl
| op(e0,op(e0,e0)) != e0 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ65_spl
<=> op(e1,op(e1,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ65_spl
| op(e1,op(e1,e0)) = e1 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( sQ65_spl
| op(e1,op(e1,e0)) != e1 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ66_spl
<=> op(e2,op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ66_spl
| op(e2,op(e2,e0)) = e2 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ67_spl
<=> op(e3,op(e3,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ67_spl
| op(e3,op(e3,e0)) = e3 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f594,f597,f600,f603]) ).
fof(f607,definition,
( sQ68_spl
<=> op(e0,op(e0,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ68_spl
| op(e0,op(e0,e1)) = e0 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ69_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ69_spl
| op(e1,op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ69_spl
| op(e1,op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ70_spl
<=> op(e2,op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ70_spl
| op(e2,op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ71_spl
<=> op(e3,op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ71_spl
| op(e3,op(e3,e1)) = e3 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f135,f607,f610,f613,f616]) ).
fof(f620,definition,
( sQ72_spl
<=> op(e0,op(e0,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ72_spl
| op(e0,op(e0,e2)) = e0 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ72_spl
| op(e0,op(e0,e2)) != e0 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ73_spl
<=> op(e1,op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ73_spl
| op(e1,op(e1,e2)) = e1 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( sQ73_spl
| op(e1,op(e1,e2)) != e1 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ74_spl
<=> op(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ74_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( sQ74_spl
| op(e2,op(e2,e2)) != e2 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ75_spl
<=> op(e3,op(e3,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ75_spl
| op(e3,op(e3,e2)) = e3 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f136,f620,f623,f626,f629]) ).
fof(f633,definition,
( sQ76_spl
<=> op(e0,op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ76_spl
| op(e0,op(e0,e3)) = e0 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ76_spl
| op(e0,op(e0,e3)) != e0 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ77_spl
<=> op(e1,op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ77_spl
| op(e1,op(e1,e3)) = e1 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ78_spl
<=> op(e2,op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ78_spl
| op(e2,op(e2,e3)) = e2 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( sQ78_spl
| op(e2,op(e2,e3)) != e2 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ79_spl
<=> op(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ79_spl
| op(e3,op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f644,plain,
( sQ79_spl
| op(e3,op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f137,f633,f636,f639,f642]) ).
fof(f646,definition,
( sQ80_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f138,f646,f558]) ).
fof(f651,plain,
( ~ sQ3_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f140,f646,f363]) ).
fof(f652,plain,
( ~ sQ23_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f141,f646,f428]) ).
fof(f653,plain,
( ~ sQ43_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f142,f646,f493]) ).
fof(f654,plain,
( ~ sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f143,f646,f558]) ).
fof(f655,definition,
( sQ81_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ81_spl
| e0 = op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( sQ81_spl
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ82_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ82_spl
| e2 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ82_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f145,f655,f552,f658]) ).
fof(f662,definition,
( sQ83_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ83_spl
| e0 = op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( sQ83_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ84_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ84_spl
| e3 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( sQ84_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f147,f662,f487,f665]) ).
fof(f669,definition,
( sQ85_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( sQ85_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ sQ85_spl
| ~ sQ62_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f149,f655,f555,f669]) ).
fof(f673,definition,
( sQ86_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ86_spl
| e0 = op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( sQ86_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ87_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( sQ87_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f151,f673,f425,f676]) ).
fof(f680,definition,
( sQ88_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( sQ88_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f153,f662,f493,f680]) ).
fof(f684,definition,
( sQ89_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ89_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ89_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( ~ sQ89_spl
| ~ sQ23_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f155,f673,f428,f684]) ).
fof(f688,definition,
( sQ90_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ90_spl
| e1 = op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( sQ90_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f157,f688,f549,f658]) ).
fof(f692,definition,
( sQ91_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ91_spl
| e1 = op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( sQ91_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( ~ sQ84_spl
| ~ sQ40_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f159,f692,f484,f665]) ).
fof(f696,definition,
( sQ92_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( sQ92_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f161,f688,f555,f696]) ).
fof(f700,definition,
( sQ93_spl
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( sQ93_spl
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ94_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( sQ94_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ sQ94_spl
| ~ sQ2_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f163,f700,f360,f703]) ).
fof(f707,definition,
( sQ95_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ95_spl
| e0 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( sQ95_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ sQ95_spl
| ~ sQ43_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f165,f692,f493,f707]) ).
fof(f711,definition,
( sQ96_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ96_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ96_spl
| ~ sQ3_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f167,f700,f363,f711]) ).
fof(f715,definition,
( sQ97_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( sQ97_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ85_spl
| ~ sQ60_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f169,f715,f549,f669]) ).
fof(f719,definition,
( sQ98_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ98_spl
| e2 = op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( sQ98_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ87_spl
| ~ sQ20_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f171,f719,f419,f676]) ).
fof(f723,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f173,f715,f552,f696]) ).
fof(f724,definition,
( sQ99_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ99_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f175,f724,f357,f703]) ).
fof(f728,definition,
( sQ100_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ100_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f177,f719,f428,f728]) ).
fof(f732,definition,
( sQ101_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ101_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( ~ sQ101_spl
| ~ sQ3_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f179,f724,f363,f732]) ).
fof(f736,definition,
( sQ102_spl
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( sQ102_spl
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f181,f736,f484,f680]) ).
fof(f740,definition,
( sQ103_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ103_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( ~ sQ89_spl
| ~ sQ20_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f183,f740,f419,f684]) ).
fof(f744,plain,
( ~ sQ95_spl
| ~ sQ41_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f185,f736,f487,f707]) ).
fof(f745,definition,
( sQ104_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( sQ104_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f187,f745,f357,f711]) ).
fof(f749,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f189,f740,f425,f728]) ).
fof(f750,plain,
( ~ sQ101_spl
| ~ sQ2_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f191,f745,f360,f732]) ).
fof(f751,definition,
( sQ105_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ59_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f195,f646,f751,f545]) ).
fof(f755,plain,
( sQ47_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f196,f646,f751,f506]) ).
fof(f756,plain,
( ~ sQ2_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f197,f646,f751,f360]) ).
fof(f757,plain,
( ~ sQ22_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f198,f646,f751,f425]) ).
fof(f758,plain,
( ~ sQ42_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f199,f646,f751,f490]) ).
fof(f759,plain,
( ~ sQ62_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f200,f646,f751,f555]) ).
fof(f760,plain,
( ~ sQ105_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f201,f646,f751]) ).
fof(f762,definition,
( sQ106_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ55_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f206,f751,f762,f532]) ).
fof(f766,plain,
( sQ31_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f207,f751,f762,f454]) ).
fof(f767,plain,
( ~ sQ1_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f208,f751,f762,f357]) ).
fof(f768,plain,
( ~ sQ21_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f209,f751,f762,f422]) ).
fof(f769,plain,
( ~ sQ41_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f210,f751,f762,f487]) ).
fof(f770,plain,
( ~ sQ61_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f211,f751,f762,f552]) ).
fof(f771,plain,
( ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f212,f751,f762]) ).
fof(f773,definition,
( sQ107_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ51_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f217,f762,f773,f519]) ).
fof(f777,plain,
( sQ15_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f218,f762,f773,f402]) ).
fof(f778,plain,
( ~ sQ0_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f219,f762,f773,f354]) ).
fof(f779,plain,
( ~ sQ20_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f220,f762,f773,f419]) ).
fof(f780,plain,
( ~ sQ40_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f221,f762,f773,f484]) ).
fof(f781,plain,
( ~ sQ60_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f222,f762,f773,f549]) ).
fof(f782,plain,
( ~ sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f223,f762,f773]) ).
fof(f784,definition,
( sQ108_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ46_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f228,f773,f784,f503]) ).
fof(f788,plain,
( sQ58_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f229,f773,f784,f542]) ).
fof(f789,plain,
( ~ sQ3_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f230,f773,f784,f363]) ).
fof(f790,plain,
( ~ sQ23_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f231,f773,f784,f428]) ).
fof(f791,plain,
( ~ sQ43_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f232,f773,f784,f493]) ).
fof(f792,plain,
( ~ sQ63_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f233,f773,f784,f558]) ).
fof(f793,plain,
( ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f234,f773,f784]) ).
fof(f795,definition,
( sQ109_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f239,f784,f795,f490]) ).
fof(f800,plain,
( ~ sQ2_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f241,f784,f795,f360]) ).
fof(f801,plain,
( ~ sQ22_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f242,f784,f795,f425]) ).
fof(f802,plain,
( ~ sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f243,f784,f795,f490]) ).
fof(f803,plain,
( ~ sQ62_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f244,f784,f795,f555]) ).
fof(f804,plain,
( ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f245,f784,f795]) ).
fof(f806,definition,
( sQ110_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ38_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f250,f795,f806,f477]) ).
fof(f810,plain,
( sQ26_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f251,f795,f806,f438]) ).
fof(f811,plain,
( ~ sQ1_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f252,f795,f806,f357]) ).
fof(f812,plain,
( ~ sQ21_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f253,f795,f806,f422]) ).
fof(f813,plain,
( ~ sQ41_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f254,f795,f806,f487]) ).
fof(f814,plain,
( ~ sQ61_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f255,f795,f806,f552]) ).
fof(f815,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f256,f795,f806]) ).
fof(f816,plain,
( sQ61_spl
| sQ41_spl
| sQ21_spl
| sQ1_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f257,f795,f477,f438,f357,f422,f487,f552]) ).
fof(f817,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( sQ34_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f261,f806,f817,f464]) ).
fof(f821,plain,
( sQ10_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f262,f806,f817,f386]) ).
fof(f822,plain,
( ~ sQ0_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f263,f806,f817,f354]) ).
fof(f823,plain,
( ~ sQ20_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f264,f806,f817,f419]) ).
fof(f824,plain,
( ~ sQ40_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f265,f806,f817,f484]) ).
fof(f825,plain,
( ~ sQ60_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f266,f806,f817,f549]) ).
fof(f826,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f267,f806,f817]) ).
fof(f828,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ29_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f272,f817,f828,f448]) ).
fof(f832,plain,
( sQ53_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f273,f817,f828,f526]) ).
fof(f833,plain,
( ~ sQ3_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f274,f817,f828,f363]) ).
fof(f834,plain,
( ~ sQ23_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f275,f817,f828,f428]) ).
fof(f835,plain,
( ~ sQ43_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f276,f817,f828,f493]) ).
fof(f836,plain,
( ~ sQ63_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f277,f817,f828,f558]) ).
fof(f837,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f278,f817,f828]) ).
fof(f839,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ25_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f283,f828,f839,f435]) ).
fof(f843,plain,
( sQ37_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f284,f828,f839,f474]) ).
fof(f844,plain,
( ~ sQ2_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f285,f828,f839,f360]) ).
fof(f845,plain,
( ~ sQ22_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f286,f828,f839,f425]) ).
fof(f846,plain,
( ~ sQ42_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f287,f828,f839,f490]) ).
fof(f847,plain,
( ~ sQ62_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f288,f828,f839,f555]) ).
fof(f848,plain,
( ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f289,f828,f839]) ).
fof(f849,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f290,f828,f435,f474,f360,f425,f490,f555]) ).
fof(f850,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f294,f839,f850,f422]) ).
fof(f855,plain,
( ~ sQ1_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f296,f839,f850,f357]) ).
fof(f856,plain,
( ~ sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f297,f839,f850,f422]) ).
fof(f857,plain,
( ~ sQ41_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f298,f839,f850,f487]) ).
fof(f858,plain,
( ~ sQ61_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f299,f839,f850,f552]) ).
fof(f859,plain,
( ~ sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f300,f839,f850]) ).
fof(f861,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ17_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f305,f850,f861,f409]) ).
fof(f865,plain,
( sQ5_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f306,f850,f861,f370]) ).
fof(f866,plain,
( ~ sQ0_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f307,f850,f861,f354]) ).
fof(f867,plain,
( ~ sQ20_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f308,f850,f861,f419]) ).
fof(f868,plain,
( ~ sQ40_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f309,f850,f861,f484]) ).
fof(f869,plain,
( ~ sQ60_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f310,f850,f861,f549]) ).
fof(f870,plain,
( ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f311,f850,f861]) ).
fof(f871,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f312,f850,f409,f370,f354,f419,f484,f549]) ).
fof(f872,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ12_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f316,f861,f872,f393]) ).
fof(f876,plain,
( sQ48_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f317,f861,f872,f510]) ).
fof(f877,plain,
( ~ sQ3_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f318,f861,f872,f363]) ).
fof(f878,plain,
( ~ sQ23_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f319,f861,f872,f428]) ).
fof(f879,plain,
( ~ sQ43_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f320,f861,f872,f493]) ).
fof(f880,plain,
( ~ sQ63_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f321,f861,f872,f558]) ).
fof(f881,plain,
( ~ sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f322,f861,f872]) ).
fof(f882,plain,
( sQ63_spl
| sQ43_spl
| sQ23_spl
| sQ3_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f323,f861,f393,f510,f363,f428,f493,f558]) ).
fof(f883,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( sQ8_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f327,f872,f883,f380]) ).
fof(f887,plain,
( sQ32_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f328,f872,f883,f458]) ).
fof(f888,plain,
( ~ sQ2_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f329,f872,f883,f360]) ).
fof(f889,plain,
( ~ sQ22_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f330,f872,f883,f425]) ).
fof(f890,plain,
( ~ sQ42_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f331,f872,f883,f490]) ).
fof(f891,plain,
( ~ sQ62_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f332,f872,f883,f555]) ).
fof(f892,plain,
( ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f333,f872,f883]) ).
fof(f893,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f334,f872,f380,f458,f360,f425,f490,f555]) ).
fof(f894,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( sQ4_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f338,f883,f894,f367]) ).
fof(f898,plain,
( sQ16_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f339,f883,f894,f406]) ).
fof(f899,plain,
( ~ sQ1_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f340,f883,f894,f357]) ).
fof(f900,plain,
( ~ sQ21_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f341,f883,f894,f422]) ).
fof(f901,plain,
( ~ sQ41_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f342,f883,f894,f487]) ).
fof(f902,plain,
( ~ sQ61_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f343,f883,f894,f552]) ).
fof(f903,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f344,f883,f894]) ).
fof(f904,plain,
( sQ61_spl
| sQ41_spl
| sQ21_spl
| sQ1_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f345,f883,f367,f406,f357,f422,f487,f552]) ).
fof(f905,plain,
( sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f347,f894,f354]) ).
fof(f907,plain,
( ~ sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f349,f894,f354]) ).
fof(f908,plain,
( ~ sQ20_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f350,f894,f419]) ).
fof(f909,plain,
( ~ sQ40_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f351,f894,f484]) ).
fof(f910,plain,
( ~ sQ60_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f352,f894,f549]) ).
fof(f913,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f112]) ).
fof(f916,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f452,f99]) ).
fof(f919,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f400,f106]) ).
fof(f920,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f400,f104]) ).
fof(f921,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f98]) ).
fof(f922,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f97]) ).
fof(f925,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f120]) ).
fof(f926,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f89]) ).
fof(f932,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f82]) ).
fof(f936,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f501,f116]) ).
fof(f938,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f400,f397]) ).
fof(f939,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f129]) ).
fof(f940,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f95]) ).
fof(f944,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f92]) ).
fof(f945,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f514]) ).
fof(f946,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f129]) ).
fof(f947,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f501,f498]) ).
fof(f949,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f126]) ).
fof(f950,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f452,f446]) ).
fof(f952,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f127]) ).
fof(f953,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f540,f537]) ).
fof(f955,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f126]) ).
fof(f956,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f530,f524]) ).
fof(f958,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f127]) ).
fof(f959,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f111]) ).
fof(f970,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f481,f85]) ).
fof(f972,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f81]) ).
fof(f974,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f390,f384]) ).
fof(f975,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f130]) ).
fof(f976,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f977,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f468,f462]) ).
fof(f978,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f130]) ).
fof(f979,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f442,f433]) ).
fof(f981,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f128]) ).
fof(f982,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f981]) ).
fof(f983,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f472]) ).
fof(f984,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f128]) ).
fof(f985,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f377,f102]) ).
fof(f987,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f377,f84]) ).
fof(f988,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f416,f108]) ).
fof(f990,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f377,f374]) ).
fof(f991,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f131]) ).
fof(f992,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f416,f413]) ).
fof(f994,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f131]) ).
fof(f995,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( sQ81_spl
| ~ sQ79_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f643,f657]) ).
fof(f1002,plain,
( sQ83_spl
| ~ sQ74_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f627,f664]) ).
fof(f1008,plain,
( sQ86_spl
| ~ sQ69_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f611,f675]) ).
fof(f1010,plain,
( sQ98_spl
| ~ sQ69_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f611,f721]) ).
fof(f1012,plain,
( sQ103_spl
| ~ sQ69_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f611,f742]) ).
fof(f1014,plain,
( sQ93_spl
| ~ sQ64_spl
| e1 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f595,f702]) ).
fof(f1020,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f368,f608]) ).
fof(f1021,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f407,f598]) ).
fof(f1022,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f381,f621]) ).
fof(f1023,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f459,f601]) ).
fof(f1024,plain,
( ~ sQ67_spl
| ~ sQ48_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f511,f604]) ).
fof(f1025,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f410,f407]) ).
fof(f1026,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f371,f368]) ).
fof(f1027,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f436,f624]) ).
fof(f1028,plain,
( ~ sQ77_spl
| ~ sQ29_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f449,f637]) ).
fof(f1029,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| e2 = e0 ),
inference(backward_demodulation,[status(thm)],[f465,f459]) ).
fof(f1030,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f478,f614]) ).
fof(f1032,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f504,f640]) ).
fof(f1033,plain,
( ~ sQ75_spl
| ~ sQ58_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f543,f630]) ).
fof(f1034,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| e3 = e0 ),
inference(backward_demodulation,[status(thm)],[f520,f511]) ).
fof(f1036,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f546,f543]) ).
fof(f1038,plain,
( ~ sQ29_spl
| ~ sQ31_spl
| e3 = e1 ),
inference(backward_demodulation,[status(thm)],[f455,f449]) ).
fof(f1040,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(backward_demodulation,[status(thm)],[f439,f436]) ).
fof(f1042,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f533,f527]) ).
fof(f1043,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f130]) ).
fof(f1044,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1045,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f478,f475]) ).
fof(f1046,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f129]) ).
fof(f1047,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f387,f107]) ).
fof(f1054,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f403,f97]) ).
fof(f1055,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f507,f1054]) ).
fof(f1056,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1055]) ).
fof(f1057,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f403,f397]) ).
fof(f1059,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f130]) ).
fof(f1060,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1059]) ).
fof(f1061,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f520,f514]) ).
fof(f1062,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f130]) ).
fof(f1063,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f465,f83]) ).
fof(f1067,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f465,f116]) ).
fof(f1069,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f455,f446]) ).
fof(f1070,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1069,f128]) ).
fof(f1071,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f423,f112]) ).
fof(f1075,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f546,f125]) ).
fof(f1077,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f439,f94]) ).
fof(f1079,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f387,f92]) ).
fof(f1084,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f120]) ).
fof(f1085,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f89]) ).
fof(f1093,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f387,f103]) ).
fof(f1094,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f387,f91]) ).
fof(f1095,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f465,f115]) ).
fof(f1096,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f410,f81]) ).
fof(f1098,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f465,f79]) ).
fof(f1099,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f439,f433]) ).
fof(f1100,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f127]) ).
fof(f1101,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f423,f111]) ).
fof(f1104,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f387,f90]) ).
fof(f1105,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f465,f114]) ).
fof(f1106,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f423,f87]) ).
fof(f1107,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f85]) ).
fof(f1109,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f84]) ).
fof(f1110,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f423,f1109]) ).
fof(f1111,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1110]) ).
fof(f1112,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1111]) ).
fof(f1115,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f410,f108]) ).
fof(f1117,plain,
( sQ83_spl
| ~ sQ74_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1002,f484,f626,f662]) ).
fof(f1118,plain,
( sQ86_spl
| ~ sQ69_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1008,f419,f610,f673]) ).
fof(f1119,plain,
( sQ93_spl
| ~ sQ64_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1014,f357,f594,f700]) ).
fof(f1120,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1020,f354,f367,f607]) ).
fof(f1121,plain,
( ~ sQ67_spl
| ~ sQ48_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1024,f519,f510,f603]) ).
fof(f1122,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f126]) ).
fof(f1123,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f126]) ).
fof(f1125,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1126,plain,
( ~ sQ77_spl
| ~ sQ29_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1028,f422,f448,f636]) ).
fof(f1127,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f127]) ).
fof(f1128,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1032,f490,f503,f639]) ).
fof(f1130,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f131]) ).
fof(f1131,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f387,f621]) ).
fof(f1133,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f387,f1132]) ).
fof(f1134,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f127]) ).
fof(f1135,plain,
( ~ sQ72_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1134]) ).
fof(f1139,plain,
( ~ sQ71_spl
| ~ sQ52_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f524,f617]) ).
fof(f1140,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1027,f422,f435,f623]) ).
fof(f1151,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f932,f412,f516]) ).
fof(f1152,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| ~ sQ52_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1139,f517]) ).
fof(f1153,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f131]) ).
fof(f1154,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1155,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1030,f490,f477,f613]) ).
fof(f1158,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f478,f87]) ).
fof(f1160,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f478,f117]) ).
fof(f1163,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f442,f439]) ).
fof(f1164,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f131]) ).
fof(f1165,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f936,f461,f500]) ).
fof(f1170,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f501,f99]) ).
fof(f1171,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f501,f101]) ).
fof(f1172,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f501,f119]) ).
fof(f1175,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f355,f102]) ).
fof(f1182,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f355,f104]) ).
fof(f1183,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f128]) ).
fof(f1184,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f394,f106]) ).
fof(f1187,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f394,f98]) ).
fof(f1199,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1075,f558,f545]) ).
fof(f1200,plain,
( ~ sQ75_spl
| ~ sQ59_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f546,f630]) ).
fof(f1203,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f384,f91]) ).
fof(f1204,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f384,f90]) ).
fof(f1205,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f384,f105]) ).
fof(f1212,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f546,f537]) ).
fof(f1213,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f128]) ).
fof(f1214,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( sQ81_spl
| ~ sQ79_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f996,f549,f642,f655]) ).
fof(f1216,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1021,f409,f406,f597]) ).
fof(f1223,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f407,f109]) ).
fof(f1224,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1170,f448,f500]) ).
fof(f1225,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1171,f552,f500]) ).
fof(f1226,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1172,f487,f500]) ).
fof(f1229,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f423,f88]) ).
fof(f1237,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1073,f448,f422]) ).
fof(f1238,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1102,f435,f422]) ).
fof(f1243,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f533,f89]) ).
fof(f1245,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1048,f399,f386]) ).
fof(f1246,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1093,f360,f386]) ).
fof(f1247,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1094,f490,f386]) ).
fof(f1248,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1104,f438,f386]) ).
fof(f1249,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1079,f542,f386]) ).
fof(f1251,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f465,f601]) ).
fof(f1254,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1067,f503,f464]) ).
fof(f1255,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1105,f477,f464]) ).
fof(f1256,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1098,f360,f464]) ).
fof(f1257,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1095,f490,f464]) ).
fof(f1260,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f919,f373,f399]) ).
fof(f1261,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f920,f360,f399]) ).
fof(f1262,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f921,f555,f399]) ).
fof(f1263,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f922,f503,f399]) ).
fof(f1265,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f972,f415,f467]) ).
fof(f1266,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f468,f465]) ).
fof(f1272,plain,
( ~ sQ35_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f468,f114]) ).
fof(f1274,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f472,f85]) ).
fof(f1277,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f472,f614]) ).
fof(f1278,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f468,f1277]) ).
fof(f1279,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1278,f131]) ).
fof(f1280,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1286,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f374,f102]) ).
fof(f1290,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f374,f84]) ).
fof(f1294,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(backward_demodulation,[status(thm)],[f390,f387]) ).
fof(f1303,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f94]) ).
fof(f1307,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f78]) ).
fof(f1308,plain,
( sQ94_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f705]) ).
fof(f1310,plain,
( sQ96_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f713]) ).
fof(f1315,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f80]) ).
fof(f1318,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f533,f524]) ).
fof(f1319,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f128]) ).
fof(f1320,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1323,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f485,f117]) ).
fof(f1326,plain,
( sQ102_spl
| ~ sQ40_spl
| e3 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f485,f738]) ).
fof(f1327,plain,
( sQ88_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f682]) ).
fof(f1329,plain,
( sQ84_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f667]) ).
fof(f1330,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| e0 = op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f485,f663]) ).
fof(f1333,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f540,f121]) ).
fof(f1336,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f540,f630]) ).
fof(f1339,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f100]) ).
fof(f1342,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1229,f526,f422]) ).
fof(f1350,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1251,f490,f464,f600]) ).
fof(f1352,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1175,f367,f354]) ).
fof(f1353,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1182,f393,f354]) ).
fof(f1362,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1096,f461,f409]) ).
fof(f1365,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1115,f422,f409]) ).
fof(f1368,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1185,f367,f393]) ).
fof(f1369,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1187,f549,f393]) ).
fof(f1371,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f394,f96]) ).
fof(f1372,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f394,f634]) ).
fof(f1379,plain,
( ~ sQ47_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f118]) ).
fof(f1385,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f455,f452]) ).
fof(f1386,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1385,f131]) ).
fof(f1387,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f970,f376,f480]) ).
fof(f1409,plain,
( ~ sQ75_spl
| ~ sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1200,f558,f545,f629]) ).
fof(f1419,plain,
( sQ90_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f550,f690]) ).
fof(f1421,plain,
( sQ85_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f671]) ).
fof(f1426,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1303,f435,f539]) ).
fof(f1430,plain,
( ~ sQ54_spl
| ~ sQ75_spl
| ~ sQ57_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1336,f530]) ).
fof(f1431,plain,
( ~ sQ54_spl
| ~ sQ75_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f131]) ).
fof(f1432,plain,
( ~ sQ54_spl
| ~ sQ75_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1435,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f527,f123]) ).
fof(f1438,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f527,f89]) ).
fof(f1443,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1323,f471,f484]) ).
fof(f1451,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1339,f445,f549]) ).
fof(f1456,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f381,f103]) ).
fof(f1460,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f507,f501]) ).
fof(f1461,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1460,f130]) ).
fof(f1462,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1461]) ).
fof(f1463,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f381,f92]) ).
fof(f1465,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f944,f383,f539]) ).
fof(f1467,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f381,f91]) ).
fof(f1471,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1203,f487,f383]) ).
fof(f1472,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1205,f370,f383]) ).
fof(f1478,plain,
( ~ sQ7_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f377,f105]) ).
fof(f1485,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f416,f109]) ).
fof(f1487,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f416,f110]) ).
fof(f1488,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f416,f82]) ).
fof(f1492,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| e0 = op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f420,f674]) ).
fof(f1493,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f416,f1492]) ).
fof(f1494,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ53_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f527,f1493]) ).
fof(f1495,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1494,f126]) ).
fof(f1496,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1495]) ).
fof(f1499,plain,
( sQ104_spl
| ~ sQ64_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f595,f747]) ).
fof(f1501,plain,
( sQ99_spl
| ~ sQ64_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f595,f726]) ).
fof(f1503,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f420,f88]) ).
fof(f1511,plain,
( sQ98_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f420,f721]) ).
fof(f1513,plain,
( sQ87_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f420,f678]) ).
fof(f1514,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f416,f1513]) ).
fof(f1515,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1514]) ).
fof(f1516,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1518,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f420,f87]) ).
fof(f1521,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f926,f477,f529]) ).
fof(f1522,plain,
( ~ sQ36_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f1518]) ).
fof(f1523,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1525,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f925,f516,f529]) ).
fof(f1527,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f507,f498]) ).
fof(f1528,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f128]) ).
fof(f1529,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1537,plain,
( sQ95_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f488,f709]) ).
fof(f1539,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f117]) ).
fof(f1541,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f122]) ).
fof(f1545,plain,
( sQ82_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f553,f660]) ).
fof(f1551,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f488,f664]) ).
fof(f1559,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f530,f124]) ).
fof(f1561,plain,
( sQ104_spl
| ~ sQ64_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1499,f363,f594,f745]) ).
fof(f1562,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1456,f354,f380]) ).
fof(f1564,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f381,f105]) ).
fof(f1565,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f381,f107]) ).
fof(f1579,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1065,f516,f464]) ).
fof(f1582,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f110]) ).
fof(f1584,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f96]) ).
fof(f1589,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f507,f640]) ).
fof(f1590,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f507,f1589]) ).
fof(f1591,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f131]) ).
fof(f1592,plain,
( ~ sQ78_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1591]) ).
fof(f1611,plain,
( sQ89_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f420,f686]) ).
fof(f1615,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f420,f84]) ).
fof(f1626,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1286,f360,f373]) ).
fof(f1627,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f374,f105]) ).
fof(f1630,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f374,f608]) ).
fof(f1633,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1290,f425,f373]) ).
fof(f1635,plain,
( ~ sQ13_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f397,f107]) ).
fof(f1639,plain,
( ~ sQ76_spl
| ~ sQ13_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f397,f634]) ).
fof(f1642,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f520,f120]) ).
fof(f1645,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1503,f523,f419]) ).
fof(f1652,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f598]) ).
fof(f1653,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f424]) ).
fof(f1654,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1582,f412,f451]) ).
fof(f1656,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1584,f399,f451]) ).
fof(f1664,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1463,f536,f380]) ).
fof(f1665,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1022,f354,f380,f620]) ).
fof(f1666,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1564,f367,f380]) ).
fof(f1673,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1467,f484,f380]) ).
fof(f1674,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1023,f464,f458,f600]) ).
fof(f1691,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f459,f116]) ).
fof(f1699,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f478]) ).
fof(f1700,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f131]) ).
fof(f1701,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f1705,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f452,f100]) ).
fof(f1720,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f913,f425,f451]) ).
fof(f1735,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1106,f474,f422]) ).
fof(f1750,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f514,f82]) ).
fof(f1753,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f104]) ).
fof(f1759,plain,
( sQ101_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f734]) ).
fof(f1761,plain,
( ~ sQ3_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f364,f78]) ).
fof(f1765,plain,
( sQ98_spl
| ~ sQ69_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1010,f425,f610,f719]) ).
fof(f1774,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f131]) ).
fof(f1775,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1776,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1485,f441,f415]) ).
fof(f1778,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1488,f519,f415]) ).
fof(f1785,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1635,f383,f396]) ).
fof(f1786,plain,
( ~ sQ76_spl
| ~ sQ13_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1639,f367,f396,f633]) ).
fof(f1805,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f491,f119]) ).
fof(f1806,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f491,f93]) ).
fof(f1812,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f491,f95]) ).
fof(f1814,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f491,f485]) ).
fof(f1815,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f127]) ).
fof(f1816,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1160,f490,f477]) ).
fof(f1821,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1158,f425,f477]) ).
fof(f1825,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f361,f80]) ).
fof(f1829,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f377,f86]) ).
fof(f1831,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f986,f363,f376]) ).
fof(f1833,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1478,f389,f376]) ).
fof(f1839,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f123]) ).
fof(f1847,plain,
( sQ101_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f361,f734]) ).
fof(f1851,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1084,f510,f523]) ).
fof(f1858,plain,
( sQ64_spl
| ~ sQ2_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f361,f596]) ).
fof(f1870,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f100]) ).
fof(f1871,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f559,f122]) ).
fof(f1885,plain,
( sQ101_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1759,f396,f363,f732]) ).
fof(f1887,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1761,f415,f363]) ).
fof(f1891,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f942,f487,f539]) ).
fof(f1892,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1333,f513,f539]) ).
fof(f1899,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f82]) ).
fof(f1904,plain,
( sQ83_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f494,f664]) ).
fof(f1909,plain,
( sQ69_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f423,f612]) ).
fof(f1934,plain,
( sQ96_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f364,f713]) ).
fof(f1948,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f364,f103]) ).
fof(f1971,plain,
( sQ95_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f709]) ).
fof(f1972,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f1971]) ).
fof(f1973,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1972]) ).
fof(f1974,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1976,plain,
( sQ88_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f682]) ).
fof(f1982,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f113]) ).
fof(f1987,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1627,f386,f373]) ).
fof(f1992,plain,
( sQ99_spl
| ~ sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1501,f360,f594,f724]) ).
fof(f2002,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1982,f438,f451]) ).
fof(f2005,plain,
( sQ72_spl
| ~ sQ9_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f384,f622]) ).
fof(f2010,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f429,f420]) ).
fof(f2011,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f128]) ).
fof(f2012,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2011]) ).
fof(f2020,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1327,f461,f484,f680]) ).
fof(f2027,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f988,f428,f415]) ).
fof(f2035,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f429,f112]) ).
fof(f2036,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f429,f87]) ).
fof(f2041,plain,
( sQ100_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f429,f730]) ).
fof(f2051,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1077,f542,f438]) ).
fof(f2060,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f462,f79]) ).
fof(f2069,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2035,f454,f428]) ).
fof(f2071,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f115]) ).
fof(f2083,plain,
( sQ64_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1858,f380,f360,f594]) ).
fof(f2084,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1870,f454,f558]) ).
fof(f2085,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1871,f519,f558]) ).
fof(f2103,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1085,f471,f523]) ).
fof(f2109,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f524,f86]) ).
fof(f2118,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f397,f96]) ).
fof(f2120,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f397,f106]) ).
fof(f2123,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1565,f393,f380]) ).
fof(f2152,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1615,f367,f419]) ).
fof(f2160,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f485,f95]) ).
fof(f2180,plain,
( sQ96_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1934,f399,f363,f711]) ).
fof(f2207,plain,
( sQ72_spl
| ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2005,f367,f383,f620]) ).
fof(f2223,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1379,f480,f506]) ).
fof(f2244,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f364,f595]) ).
fof(f2245,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f400,f2244]) ).
fof(f2246,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2245,f127]) ).
fof(f2247,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2246]) ).
fof(f2249,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1899,f406,f510]) ).
fof(f2251,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f83]) ).
fof(f2282,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f361,f595]) ).
fof(f2288,plain,
( sQ101_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1847,f383,f360,f732]) ).
fof(f2302,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f916,f503,f451]) ).
fof(f2303,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1705,f555,f451]) ).
fof(f2309,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1805,f503,f490]) ).
fof(f2310,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1812,f542,f490]) ).
fof(f2326,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1559,f555,f529]) ).
fof(f2344,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f377,f106]) ).
fof(f2346,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f987,f428,f376]) ).
fof(f2354,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1223,f432,f406]) ).
fof(f2372,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1329,f467,f484,f665]) ).
fof(f2379,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e0 = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f468,f1330]) ).
fof(f2383,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ35_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f2379,f2160]) ).
fof(f2384,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2383]) ).
fof(f2385,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2384]) ).
fof(f2398,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1421,f513,f549,f669]) ).
fof(f2399,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f101]) ).
fof(f2405,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1539,f474,f487]) ).
fof(f2415,plain,
( sQ78_spl
| ~ sQ47_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f507,f641]) ).
fof(f2416,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f116]) ).
fof(f2425,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2120,f370,f396]) ).
fof(f2449,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f433,f624]) ).
fof(f2454,plain,
( sQ84_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f488,f667]) ).
fof(f2471,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f433,f94]) ).
fof(f2483,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2244,f393,f363,f594]) ).
fof(f2493,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f387,f381]) ).
fof(f2494,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2493,f127]) ).
fof(f2495,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2494]) ).
fof(f2514,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f371,f608]) ).
fof(f2515,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f371,f2514]) ).
fof(f2516,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2515,f126]) ).
fof(f2517,plain,
( ~ sQ68_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2567,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1829,f532,f376]) ).
fof(f2569,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2344,f402,f376]) ).
fof(f2581,plain,
( sQ97_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f550,f717]) ).
fof(f2594,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1315,f513,f357]) ).
fof(f2595,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f102]) ).
fof(f2596,plain,
( sQ64_spl
| ~ sQ1_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f358,f596]) ).
fof(f2602,plain,
( sQ103_spl
| ~ sQ69_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1012,f428,f610,f740]) ).
fof(f2619,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f485,f115]) ).
fof(f2620,plain,
( sQ91_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f485,f694]) ).
fof(f2636,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f465,f81]) ).
fof(f2670,plain,
( sQ64_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2596,f367,f357,f594]) ).
fof(f2676,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f556,f125]) ).
fof(f2678,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f556,f101]) ).
fof(f2692,plain,
( sQ91_spl
| ~ sQ41_spl
| e1 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f488,f694]) ).
fof(f2696,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2251,f458,f510]) ).
fof(f2704,plain,
( sQ96_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1310,f373,f357,f711]) ).
fof(f2714,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f358,f104]) ).
fof(f2730,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f413,f1492]) ).
fof(f2731,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f473]) ).
fof(f2732,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2733,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1107,f474,f370]) ).
fof(f2742,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1541,f513,f552]) ).
fof(f2743,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f556,f553]) ).
fof(f2744,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2743,f129]) ).
fof(f2745,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2749,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f420,f108]) ).
fof(f2750,plain,
( sQ69_spl
| ~ sQ20_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f420,f612]) ).
fof(f2753,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f420,f112]) ).
fof(f2769,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(op(e3,e1),e3) ),
inference(forward_demodulation,[status(thm)],[f553,f657]) ).
fof(f2775,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f553,f100]) ).
fof(f2789,plain,
( sQ94_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1308,f376,f357,f703]) ).
fof(f2800,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f358,f595]) ).
fof(f2801,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1307,f409,f357]) ).
fof(f2808,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f478,f118]) ).
fof(f2810,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f553,f550]) ).
fof(f2811,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f126]) ).
fof(f2812,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2822,plain,
( sQ78_spl
| ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2415,f503,f506,f639]) ).
fof(f2823,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2416,f467,f506]) ).
fof(f2827,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f99]) ).
fof(f2832,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f468,f115]) ).
fof(f2843,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f546,f95]) ).
fof(f2862,plain,
( sQ69_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2750,f409,f419,f610]) ).
fof(f2863,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2753,f445,f419]) ).
fof(f2897,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f446,f113]) ).
fof(f2910,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1753,f402,f363]) ).
fof(f2917,plain,
( sQ100_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f426,f730]) ).
fof(f2918,plain,
( sQ103_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f426,f742]) ).
fof(f2923,plain,
( sQ69_spl
| ~ sQ22_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f426,f612]) ).
fof(f2925,plain,
( sQ86_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f426,f675]) ).
fof(f2935,plain,
( sQ100_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2041,f445,f428,f728]) ).
fof(f2938,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2036,f480,f428]) ).
fof(f2956,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f93]) ).
fof(f2962,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2454,f480,f487,f665]) ).
fof(f2979,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f524,f2769]) ).
fof(f3002,plain,
( sQ64_spl
| ~ sQ3_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f364,f596]) ).
fof(f3009,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f481,f614]) ).
fof(f3023,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1371,f445,f393]) ).
fof(f3033,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2897,f432,f445]) ).
fof(f3034,plain,
( sQ100_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2917,f432,f425,f728]) ).
fof(f3035,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f433,f2918]) ).
fof(f3037,plain,
( sQ69_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2923,f435,f425,f610]) ).
fof(f3039,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2956,f435,f487]) ).
fof(f3042,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2800,f367,f357,f594]) ).
fof(f3049,plain,
( sQ99_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f358,f726]) ).
fof(f3052,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2714,f396,f357]) ).
fof(f3061,plain,
( ~ sQ7_spl
| sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f3035]) ).
fof(f3062,plain,
( ~ sQ7_spl
| sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3061]) ).
fof(f3063,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1487,f454,f415]) ).
fof(f3066,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f397,f98]) ).
fof(f3068,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2118,f448,f396]) ).
fof(f3081,plain,
( sQ90_spl
| ~ sQ79_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f643,f690]) ).
fof(f3082,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f86]) ).
fof(f3085,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f120]) ).
fof(f3089,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1435,f539,f526]) ).
fof(f3095,plain,
( sQ98_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f416,f1511]) ).
fof(f3099,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2749,f406,f419]) ).
fof(f3137,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1825,f516,f360]) ).
fof(f3147,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2843,f493,f545]) ).
fof(f3148,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f2282,f107]) ).
fof(f3156,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f2282,f90]) ).
fof(f3168,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f550,f643]) ).
fof(f3178,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2808,f503,f477]) ).
fof(f3207,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f546,f540]) ).
fof(f3208,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3207,f130]) ).
fof(f3209,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3208]) ).
fof(f3213,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3066,f552,f396]) ).
fof(f3214,plain,
( sQ90_spl
| ~ sQ79_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3081,f552,f642,f688]) ).
fof(f3221,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1948,f389,f363]) ).
fof(f3225,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f364,f595]) ).
fof(f3226,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f397,f3225]) ).
fof(f3227,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3226,f126]) ).
fof(f3228,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3227]) ).
fof(f3230,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1611,f412,f419,f684]) ).
fof(f3233,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2636,f412,f464]) ).
fof(f3247,plain,
( sQ97_spl
| ~ sQ61_spl
| e2 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f553,f717]) ).
fof(f3248,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2775,f448,f552]) ).
fof(f3250,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f511,f121]) ).
fof(f3259,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1839,f529,f542]) ).
fof(f3288,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1243,f480,f532]) ).
fof(f3300,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2595,f370,f357]) ).
fof(f3352,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1272,f480,f467]) ).
fof(f3356,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f131]) ).
fof(f3357,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3356]) ).
fof(f3368,plain,
( sQ64_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3002,f393,f363,f594]) ).
fof(f3384,plain,
( sQ98_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f429,f721]) ).
fof(f3386,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f429,f88]) ).
fof(f3388,plain,
( sQ86_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f429,f675]) ).
fof(f3421,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f93]) ).
fof(f3478,plain,
( sQ97_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f524,f3247]) ).
fof(f3481,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2979,f393,f523,f552,f655]) ).
fof(f3505,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f407,f81]) ).
fof(f3539,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e0 = op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f462,f1330]) ).
fof(f3568,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f429,f611]) ).
fof(f3569,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f452,f3568]) ).
fof(f3570,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3569,f129]) ).
fof(f3571,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3570]) ).
fof(f3573,plain,
( sQ93_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f364,f702]) ).
fof(f3574,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f452,f3384]) ).
fof(f3575,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f3574]) ).
fof(f3576,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3575]) ).
fof(f3577,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3576]) ).
fof(f3606,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f478,f2692]) ).
fof(f3607,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f488,f3606]) ).
fof(f3608,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3607]) ).
fof(f3609,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3694,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3421,f432,f484]) ).
fof(f3726,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2619,f458,f484]) ).
fof(f3738,plain,
( sQ90_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f550,f690]) ).
fof(f3739,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f517,f3738]) ).
fof(f3751,plain,
( ~ sQ67_spl
| ~ sQ50_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f517,f604]) ).
fof(f3754,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f527,f617]) ).
fof(f3755,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3754,f3386]) ).
fof(f3756,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3755]) ).
fof(f3763,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2071,f487,f461]) ).
fof(f3781,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3082,f370,f526]) ).
fof(f3800,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f3568,f113]) ).
fof(f3808,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f400,f3573]) ).
fof(f3844,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2060,f357,f461]) ).
fof(f3885,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f507,f119]) ).
fof(f3915,plain,
( ~ sQ65_spl
| ~ sQ19_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f416,f598]) ).
fof(f3916,plain,
( ~ sQ65_spl
| ~ sQ19_spl
| ~ sQ30_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f452,f3915]) ).
fof(f3917,plain,
( ~ sQ65_spl
| ~ sQ19_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3916,f129]) ).
fof(f3918,plain,
( ~ sQ65_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3919,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f3923,f98]) ).
fof(f3922,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f3923,f104]) ).
fof(f3923,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f377,f608]) ).
fof(f3961,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3168,f519,f549,f642]) ).
fof(f3969,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2449,f409,f432,f623]) ).
fof(f4057,plain,
( sQ69_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1909,f422,f610]) ).
fof(f4075,plain,
( sQ65_spl
| ~ sQ19_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f416,f599]) ).
fof(f4078,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3919,f549,f376,f607]) ).
fof(f4079,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3922,f354,f376,f607]) ).
fof(f4109,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2827,f454,f506]) ).
fof(f4123,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f83]) ).
fof(f4130,plain,
( ~ sQ79_spl
| ~ sQ62_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f556,f643]) ).
fof(f4158,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f4123]) ).
fof(f4159,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4158]) ).
fof(f4167,plain,
( ~ sQ29_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f130]) ).
fof(f4168,plain,
( ~ sQ29_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4167]) ).
fof(f4183,plain,
( sQ98_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3095,f529,f415,f419,f719]) ).
fof(f4189,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1493,f523,f415,f419,f673]) ).
fof(f4209,plain,
( sQ79_spl
| ~ sQ60_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f550,f644]) ).
fof(f4215,plain,
( sQ97_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f514,f2581]) ).
fof(f4217,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f514,f1419]) ).
fof(f4218,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f449,f4217]) ).
fof(f4219,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4218]) ).
fof(f4220,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4219]) ).
fof(f4228,plain,
( ~ sQ76_spl
| ~ sQ14_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f400,f634]) ).
fof(f4259,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f384,f621]) ).
fof(f4285,plain,
( sQ64_spl
| ~ sQ0_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f355,f596]) ).
fof(f4322,plain,
( sQ79_spl
| ~ sQ61_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f553,f644]) ).
fof(f4329,plain,
( sQ97_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3478,f399,f523,f552,f715]) ).
fof(f4335,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ33_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3539,f432,f461,f484,f662]) ).
fof(f4418,plain,
( ~ sQ66_spl
| ~ sQ33_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f462,f601]) ).
fof(f4421,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| e2 = op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f423,f720]) ).
fof(f4422,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| e2 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f423,f4421]) ).
fof(f4423,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4422,f427]) ).
fof(f4424,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4423]) ).
fof(f4429,plain,
( ~ sQ76_spl
| ~ sQ14_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4228,f380,f399,f633]) ).
fof(f4444,plain,
( sQ64_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4285,f354,f594]) ).
fof(f4465,plain,
( sQ102_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f462,f1326]) ).
fof(f4470,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f439,f624]) ).
fof(f4471,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f439,f4470]) ).
fof(f4472,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f129]) ).
fof(f4473,plain,
( ~ sQ73_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4472]) ).
fof(f4474,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f553,f698]) ).
fof(f4480,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3885,f493,f506]) ).
fof(f4484,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f377,f3049]) ).
fof(f4498,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1545,f529,f552,f658]) ).
fof(f4585,plain,
( ~ sQ76_spl
| ~ sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1372,f354,f393,f633]) ).
fof(f4607,plain,
( sQ65_spl
| ~ sQ19_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4075,f448,f415,f597]) ).
fof(f4612,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2282,f380,f360,f594]) ).
fof(f4623,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3156,f432,f360,f594]) ).
fof(f4624,plain,
( ~ sQ64_spl
| ~ sQ2_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3148,f393,f360,f594]) ).
fof(f4643,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2676,f542,f555]) ).
fof(f4645,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2678,f503,f555]) ).
fof(f4646,plain,
( ~ sQ79_spl
| ~ sQ62_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4130,f545,f555,f642]) ).
fof(f4666,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1750,f409,f513]) ).
fof(f4681,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f481,f1551]) ).
fof(f4691,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f449,f113]) ).
fof(f4713,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4691,f435,f448]) ).
fof(f4727,plain,
( sQ102_spl
| ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4465,f441,f461,f484,f736]) ).
fof(f4758,plain,
( sQ79_spl
| ~ sQ60_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4209,f519,f549,f642]) ).
fof(f4818,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f403,f98]) ).
fof(f4823,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f403,f634]) ).
fof(f4824,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f403,f4823]) ).
fof(f4825,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4824,f128]) ).
fof(f4826,plain,
( ~ sQ76_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4825]) ).
fof(f4834,plain,
( ~ sQ64_spl
| ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f355,f595]) ).
fof(f4878,plain,
( sQ95_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1537,f471,f487,f707]) ).
fof(f4895,plain,
( sQ97_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4215,f451,f513,f549,f715]) ).
fof(f4956,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f88]) ).
fof(f4970,plain,
( sQ73_spl
| ~ sQ24_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f433,f625]) ).
fof(f5060,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f472,f1551]) ).
fof(f5073,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4956,f425,f529]) ).
fof(f5124,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4681,f536,f480,f487,f662]) ).
fof(f5136,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f550,f643]) ).
fof(f5161,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f530,f527]) ).
fof(f5162,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5161,f129]) ).
fof(f5163,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f5162]) ).
fof(f5173,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f537,f630]) ).
fof(f5221,plain,
( sQ79_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f4322,f532,f552,f642]) ).
fof(f5250,plain,
( sQ73_spl
| ~ sQ24_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4970,f409,f432,f623]) ).
fof(f5258,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2471,f536,f432]) ).
fof(f5323,plain,
( ~ sQ75_spl
| ~ sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f5173,f519,f536,f629]) ).
fof(f5334,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f494,f485]) ).
fof(f5335,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5334,f128]) ).
fof(f5336,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5335]) ).
fof(f5338,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f494,f93]) ).
fof(f5342,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f494,f91]) ).
fof(f5393,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f124]) ).
fof(f5399,plain,
( sQ69_spl
| ~ sQ23_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f429,f612]) ).
fof(f5400,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f429,f88]) ).
fof(f5413,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f452,f3388]) ).
fof(f5491,plain,
( ~ sQ75_spl
| ~ sQ58_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1033,f545,f542,f629]) ).
fof(f5509,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3505,f458,f406]) ).
fof(f5528,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f462,f459]) ).
fof(f5529,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5528,f126]) ).
fof(f5530,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f5529]) ).
fof(f5534,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5399,f448,f428,f610]) ).
fof(f5535,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5400,f532,f428]) ).
fof(f5563,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f5060,f380,f471,f487,f662]) ).
fof(f5734,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f468,f2620]) ).
fof(f5778,plain,
( ~ sQ64_spl
| ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f4834,f80]) ).
fof(f5843,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f4259,f367,f383,f620]) ).
fof(f5874,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3739,f500,f516,f549,f688]) ).
fof(f5895,plain,
( sQ91_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f485,f694]) ).
fof(f5913,plain,
( ~ sQ84_spl
| ~ sQ40_spl
| e3 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f485,f666]) ).
fof(f5916,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f384,f621]) ).
fof(f5917,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ7_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f377,f5916]) ).
fof(f5918,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5917,f128]) ).
fof(f5919,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5918]) ).
fof(f5941,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2832,f493,f467]) ).
fof(f5945,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f501,f1904]) ).
fof(f5950,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5342,f389,f493]) ).
fof(f5958,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1642,f532,f519]) ).
fof(f5971,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f426,f87]) ).
fof(f5980,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f494,f95]) ).
fof(f5992,plain,
( sQ86_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f433,f2925]) ).
fof(f6052,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f5136,f120]) ).
fof(f6066,plain,
( ~ sQ55_spl
| ~ sQ79_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f6052]) ).
fof(f6067,plain,
( ~ sQ55_spl
| ~ sQ79_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f6066]) ).
fof(f6297,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f488,f627]) ).
fof(f6298,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6297,f479]) ).
fof(f6299,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f6298]) ).
fof(f6300,plain,
( ~ sQ81_spl
| ~ sQ90_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f689,f656]) ).
fof(f6301,plain,
( ~ sQ81_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6300,f126]) ).
fof(f6302,plain,
( ~ sQ81_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f6301]) ).
fof(f6309,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f5393,f526,f552]) ).
fof(f6315,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f553,f643]) ).
fof(f6346,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2109,f367,f523]) ).
fof(f6409,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3808,f461,f399,f363,f700]) ).
fof(f6420,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f485,f119]) ).
fof(f6425,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f485,f95]) ).
fof(f6428,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3800,f435,f428,f610]) ).
fof(f6440,plain,
( ~ sQ69_spl
| ~ sQ23_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3568,f448,f428,f610]) ).
fof(f6451,plain,
( sQ76_spl
| ~ sQ14_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f400,f635]) ).
fof(f6481,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1204,f435,f383]) ).
fof(f6514,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f129]) ).
fof(f6515,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6514]) ).
fof(f6648,plain,
( ~ sQ64_spl
| ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f5778,f510,f354,f594]) ).
fof(f6653,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3250,f536,f510]) ).
fof(f6655,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f517,f511]) ).
fof(f6656,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6655,f127]) ).
fof(f6657,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f6656]) ).
fof(f6663,plain,
( ~ sQ95_spl
| ~ sQ43_spl
| e0 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f708]) ).
fof(f6693,plain,
( ~ sQ60_spl
| ~ sQ95_spl
| ~ sQ43_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f6663,f2399]) ).
fof(f6694,plain,
( ~ sQ60_spl
| ~ sQ95_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6693]) ).
fof(f6695,plain,
( ~ sQ60_spl
| ~ sQ95_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f6694]) ).
fof(f6738,plain,
( sQ86_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5992,f367,f432,f425,f673]) ).
fof(f6755,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f433,f90]) ).
fof(f6810,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f533,f123]) ).
fof(f6818,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f533,f124]) ).
fof(f6906,plain,
( ~ sQ70_spl
| ~ sQ37_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f475,f614]) ).
fof(f6907,plain,
( ~ sQ70_spl
| ~ sQ37_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6906,f5971]) ).
fof(f6908,plain,
( ~ sQ70_spl
| ~ sQ37_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f6907]) ).
fof(f6910,plain,
( ~ sQ67_spl
| ~ sQ50_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3751,f545,f516,f603]) ).
fof(f6912,plain,
( ~ sQ67_spl
| ~ sQ50_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f517,f604]) ).
fof(f6916,plain,
( sQ99_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f364,f726]) ).
fof(f6966,plain,
( ~ sQ55_spl
| ~ sQ67_spl
| ~ sQ50_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f6912,f6810]) ).
fof(f6967,plain,
( ~ sQ55_spl
| ~ sQ67_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6966]) ).
fof(f6968,plain,
( ~ sQ55_spl
| ~ sQ67_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f6967]) ).
fof(f6973,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f455,f100]) ).
fof(f6981,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4474,f523,f552,f696]) ).
fof(f6998,plain,
( sQ76_spl
| ~ sQ14_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6451,f380,f399,f633]) ).
fof(f7023,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1691,f497,f458]) ).
fof(f7041,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f3009,f503,f480,f613]) ).
fof(f7043,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6755,f380,f432]) ).
fof(f7115,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f455,f96]) ).
fof(f7130,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5734,f539,f467,f484,f692]) ).
fof(f7138,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ84_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f5913,f5895]) ).
fof(f7142,plain,
( sQ83_spl
| ~ sQ84_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f666,f664]) ).
fof(f7175,plain,
( sQ103_spl
| ~ sQ20_spl
| e3 != op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f420,f742]) ).
fof(f7201,plain,
( ~ sQ57_spl
| sQ91_spl
| ~ sQ40_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f7138]) ).
fof(f7202,plain,
( ~ sQ57_spl
| sQ91_spl
| ~ sQ40_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f7201]) ).
fof(f7237,plain,
( ~ sQ78_spl
| ~ sQ45_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f501,f640]) ).
fof(f7363,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f413,f7175]) ).
fof(f7379,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f390,f621]) ).
fof(f7380,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f400,f7379]) ).
fof(f7381,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7380,f127]) ).
fof(f7382,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f7381]) ).
fof(f7386,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f533,f617]) ).
fof(f7390,plain,
( ~ sQ89_spl
| ~ sQ20_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f420,f685]) ).
fof(f7414,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f7386,f6818]) ).
fof(f7415,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7414]) ).
fof(f7416,plain,
( ~ sQ55_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f7415]) ).
fof(f7452,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f488,f627]) ).
fof(f7475,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4484,f516,f376,f357,f724]) ).
fof(f7543,plain,
( sQ104_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f358,f747]) ).
fof(f7551,plain,
( ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f5136,f604]) ).
fof(f7570,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f7390,f7175]) ).
fof(f7597,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7363,f480,f412,f419,f740]) ).
fof(f7608,plain,
( ~ sQ39_spl
| sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f7570]) ).
fof(f7609,plain,
( ~ sQ39_spl
| sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f7608]) ).
fof(f7627,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1438,f474,f526]) ).
fof(f7629,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3085,f513,f526]) ).
fof(f7647,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4818,f558,f402]) ).
fof(f7652,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f960,f428,f441]) ).
fof(f7657,plain,
( sQ83_spl
| ~ sQ84_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7142,f536,f665,f662]) ).
fof(f7668,plain,
( ~ sQ84_spl
| ~ sQ40_spl
| e3 = op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f666]) ).
fof(f7673,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6420,f497,f484]) ).
fof(f7675,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f6425,f536,f484]) ).
fof(f7716,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f426,f611]) ).
fof(f7717,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7716,f437]) ).
fof(f7718,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f7717]) ).
fof(f7727,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6810,f545,f532]) ).
fof(f7737,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f533,f124]) ).
fof(f7759,plain,
( ~ sQ78_spl
| ~ sQ45_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7237,f477,f500,f639]) ).
fof(f7782,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f7115,f402,f454]) ).
fof(f7915,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f494,f627]) ).
fof(f7931,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1976,f500,f493,f680]) ).
fof(f8014,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f514,f604]) ).
fof(f8042,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f7915,f503,f493,f626]) ).
fof(f8046,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7737,f558,f532]) ).
fof(f8050,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f494,f488]) ).
fof(f8051,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8050,f130]) ).
fof(f8052,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f8051]) ).
fof(f8103,plain,
( ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f7551,f558,f549,f642,f603]) ).
fof(f8203,plain,
( ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f5136,f604]) ).
fof(f8252,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f8203,f6973]) ).
fof(f8253,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8252]) ).
fof(f8254,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ79_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f8253]) ).
fof(f8267,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f481,f117]) ).
fof(f8289,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f7379,f393,f389,f620]) ).
fof(f8292,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f390,f621]) ).
fof(f8293,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f397,f8292]) ).
fof(f8294,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8293,f126]) ).
fof(f8295,plain,
( ~ sQ72_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f8294]) ).
fof(f8296,plain,
( sQ86_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f426,f675]) ).
fof(f8314,plain,
( ~ sQ66_spl
| ~ sQ33_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f4418,f477,f461,f600]) ).
fof(f8315,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f8267,f493,f480]) ).
fof(f8347,plain,
( sQ99_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f397,f6916]) ).
fof(f8376,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f5338,f441,f493]) ).
fof(f8499,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f6315,f120]) ).
fof(f8598,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f374,f7543]) ).
fof(f8604,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1630,f380,f373,f607]) ).
fof(f8607,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f374,f608]) ).
fof(f8608,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| ~ sQ11_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f390,f8607]) ).
fof(f8609,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8608,f128]) ).
fof(f8610,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f8609]) ).
fof(f8628,plain,
( sQ104_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f358,f747]) ).
fof(f8629,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f374,f8628]) ).
fof(f8630,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ40_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f7668,f8629]) ).
fof(f8631,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8630]) ).
fof(f8632,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f8631]) ).
fof(f8663,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f361,f78]) ).
fof(f8694,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f426,f108]) ).
fof(f8831,plain,
( sQ93_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f361,f702]) ).
fof(f8832,plain,
( sQ93_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f390,f8831]) ).
fof(f8855,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f455,f637]) ).
fof(f8856,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f455,f8855]) ).
fof(f8857,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8856,f130]) ).
fof(f8858,plain,
( ~ sQ77_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f8857]) ).
fof(f8872,plain,
( sQ99_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f8347,f412,f396,f363,f724]) ).
fof(f8929,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f8014,f532,f513,f603]) ).
fof(f9041,plain,
( ~ sQ70_spl
| ~ sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f6906,f477,f474,f613]) ).
fof(f9057,plain,
( sQ98_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f429,f721]) ).
fof(f9058,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f446,f9057]) ).
fof(f9114,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(op(e3,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f553,f657]) ).
fof(f9127,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f6315,f532,f552,f642]) ).
fof(f9128,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f530,f2769]) ).
fof(f9132,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f8499,f519,f552,f642]) ).
fof(f9168,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f553,f643]) ).
fof(f9198,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| e2 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f553,f659]) ).
fof(f9199,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ79_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f9168,f9198]) ).
fof(f9200,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9199,f131]) ).
fof(f9201,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f9200]) ).
fof(f9273,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f7452,f85]) ).
fof(f9335,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f3754,f532,f526,f616]) ).
fof(f9495,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f598]) ).
fof(f9496,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f442,f9495]) ).
fof(f9497,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9496,f130]) ).
fof(f9498,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f9497]) ).
fof(f9523,plain,
( ~ sQ91_spl
| ~ sQ74_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f627,f693]) ).
fof(f9539,plain,
( sQ41_spl
| ~ sQ91_spl
| ~ sQ74_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f9523,f489]) ).
fof(f9540,plain,
( sQ41_spl
| ~ sQ91_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9539]) ).
fof(f9541,plain,
( sQ41_spl
| ~ sQ91_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f9540]) ).
fof(f9584,plain,
( sQ86_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f442,f8296]) ).
fof(f9599,plain,
( ~ sQ50_spl
| ~ sQ79_spl
| ~ sQ60_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f5136,f517]) ).
fof(f9600,plain,
( ~ sQ50_spl
| ~ sQ79_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9599,f131]) ).
fof(f9601,plain,
( ~ sQ50_spl
| ~ sQ79_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f9600]) ).
fof(f9610,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1277,f464,f471,f613]) ).
fof(f9620,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1274,f367,f471]) ).
fof(f9634,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1806,f438,f490]) ).
fof(f9648,plain,
( sQ74_spl
| ~ sQ42_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f491,f628]) ).
fof(f9649,plain,
( sQ74_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f491,f9648]) ).
fof(f9650,plain,
( sQ74_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9649]) ).
fof(f9651,plain,
( sQ74_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f9650]) ).
fof(f9655,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f520,f83]) ).
fof(f9660,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f520,f122]) ).
fof(f9755,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f520,f604]) ).
fof(f9756,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9755,f9660]) ).
fof(f9757,plain,
( ~ sQ67_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f9756]) ).
fof(f9774,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f9655,f467,f519]) ).
fof(f9784,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f8598,f467,f373,f357,f745]) ).
fof(f9799,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9273,f373,f487,f626]) ).
fof(f9829,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f520,f517]) ).
fof(f9830,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9829,f131]) ).
fof(f9831,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f9830]) ).
fof(f9865,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ82_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f9198,f9114]) ).
fof(f9911,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5413,f471,f451,f428,f673]) ).
fof(f10117,plain,
( ~ sQ24_spl
| ~ sQ77_spl
| ~ sQ30_spl
| e1 = e0 ),
inference(backward_demodulation,[status(thm)],[f10118,f433]) ).
fof(f10118,plain,
( ~ sQ77_spl
| ~ sQ30_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f452,f637]) ).
fof(f10162,plain,
( ~ sQ24_spl
| ~ sQ77_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10117,f126]) ).
fof(f10163,plain,
( ~ sQ24_spl
| ~ sQ77_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f10162]) ).
fof(f10183,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5945,f432,f500,f493,f662]) ).
fof(f10296,plain,
( sQ89_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f429,f686]) ).
fof(f10297,plain,
( sQ89_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f452,f10296]) ).
fof(f10298,plain,
( sQ89_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10297]) ).
fof(f10299,plain,
( sQ89_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f10298]) ).
fof(f10310,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f9128,f497,f529,f552,f655]) ).
fof(f10311,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ82_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f9865,f497,f658,f552,f655]) ).
fof(f10430,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f530,f617]) ).
fof(f10431,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10430,f5980]) ).
fof(f10432,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f10431]) ).
fof(f10459,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f8663,f412,f360]) ).
fof(f10476,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f8694,f412,f425]) ).
fof(f10488,plain,
( sQ86_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f9584,f523,f441,f425,f673]) ).
fof(f10637,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f410]) ).
fof(f10638,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10637,f129]) ).
fof(f10639,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f10638]) ).
fof(f10772,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1336,f532,f539,f629]) ).
fof(f10856,plain,
( sQ91_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f494,f694]) ).
fof(f10857,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ95_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f6663,f10856]) ).
fof(f11014,plain,
( ~ sQ77_spl
| ~ sQ28_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f446,f637]) ).
fof(f11022,plain,
( sQ87_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f426,f678]) ).
fof(f11023,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f442,f11022]) ).
fof(f11024,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11023]) ).
fof(f11025,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f11024]) ).
fof(f11037,plain,
( sQ90_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f556,f690]) ).
fof(f11093,plain,
( sQ93_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f8832,f513,f389,f360,f700]) ).
fof(f11315,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f537,f11037]) ).
fof(f11316,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f397,f11315]) ).
fof(f11317,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11316]) ).
fof(f11318,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f11317]) ).
fof(f11329,plain,
( sQ94_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f361,f705]) ).
fof(f11330,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f390,f11329]) ).
fof(f11331,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11330]) ).
fof(f11332,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f11331]) ).
fof(f11352,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ95_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f10857,f383,f707,f493,f692]) ).
fof(f11353,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f498,f10856]) ).
fof(f11455,plain,
( ~ sQ9_spl
| sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f11353]) ).
fof(f11456,plain,
( ~ sQ9_spl
| sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f11455]) ).
fof(f11662,plain,
( ~ sQ77_spl
| ~ sQ28_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f11014,f409,f445,f636]) ).
fof(f11669,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9058,f373,f445,f428,f719]) ).
fof(f11746,plain,
$false,
inference(sat_refutation,[status(thm)],[f366,f379,f392,f405,f418,f431,f444,f457,f470,f483,f496,f509,f522,f535,f548,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f606,f619,f632,f645,f649,f651,f652,f653,f654,f661,f668,f672,f679,f683,f687,f691,f695,f699,f706,f710,f714,f718,f722,f723,f727,f731,f735,f739,f743,f744,f748,f749,f750,f754,f755,f756,f757,f758,f759,f760,f765,f766,f767,f768,f769,f770,f771,f776,f777,f778,f779,f780,f781,f782,f787,f788,f789,f790,f791,f792,f793,f798,f800,f801,f802,f803,f804,f809,f810,f811,f812,f813,f814,f815,f816,f820,f821,f822,f823,f824,f825,f826,f831,f832,f833,f834,f835,f836,f837,f842,f843,f844,f845,f846,f847,f848,f849,f853,f855,f856,f857,f858,f859,f864,f865,f866,f867,f868,f869,f870,f871,f875,f876,f877,f878,f879,f880,f881,f882,f886,f887,f888,f889,f890,f891,f892,f893,f897,f898,f899,f900,f901,f902,f903,f904,f905,f907,f908,f909,f910,f940,f947,f950,f953,f956,f959,f976,f979,f982,f985,f992,f995,f1044,f1047,f1057,f1060,f1063,f1071,f1101,f1112,f1117,f1118,f1119,f1120,f1121,f1123,f1125,f1126,f1128,f1129,f1131,f1135,f1140,f1151,f1154,f1155,f1165,f1167,f1184,f1199,f1214,f1215,f1216,f1224,f1225,f1226,f1237,f1238,f1245,f1246,f1247,f1248,f1249,f1254,f1255,f1256,f1257,f1260,f1261,f1262,f1263,f1265,f1280,f1320,f1342,f1350,f1352,f1353,f1362,f1365,f1368,f1369,f1387,f1389,f1409,f1426,f1432,f1443,f1451,f1462,f1465,f1471,f1472,f1496,f1516,f1521,f1523,f1525,f1529,f1561,f1562,f1579,f1592,f1626,f1633,f1645,f1654,f1655,f1656,f1664,f1665,f1666,f1673,f1674,f1701,f1720,f1735,f1765,f1775,f1776,f1778,f1785,f1786,f1816,f1817,f1821,f1831,f1833,f1851,f1885,f1887,f1891,f1892,f1974,f1987,f1992,f2002,f2012,f2020,f2027,f2051,f2069,f2083,f2084,f2085,f2103,f2123,f2152,f2180,f2207,f2223,f2247,f2249,f2288,f2302,f2303,f2309,f2310,f2326,f2346,f2354,f2372,f2385,f2398,f2405,f2425,f2483,f2495,f2517,f2567,f2569,f2594,f2602,f2670,f2696,f2704,f2732,f2733,f2742,f2745,f2789,f2801,f2812,f2822,f2823,f2862,f2863,f2910,f2935,f2938,f2962,f3023,f3033,f3034,f3037,f3039,f3042,f3052,f3062,f3063,f3068,f3089,f3099,f3137,f3147,f3178,f3209,f3213,f3214,f3221,f3228,f3230,f3233,f3248,f3259,f3288,f3300,f3352,f3357,f3368,f3481,f3571,f3577,f3609,f3694,f3726,f3756,f3763,f3781,f3844,f3918,f3961,f3969,f4057,f4078,f4079,f4109,f4159,f4168,f4183,f4189,f4220,f4329,f4335,f4424,f4429,f4444,f4473,f4480,f4498,f4585,f4607,f4612,f4623,f4624,f4643,f4645,f4646,f4666,f4713,f4727,f4758,f4826,f4878,f4895,f5073,f5124,f5163,f5221,f5250,f5258,f5323,f5336,f5491,f5509,f5530,f5534,f5535,f5563,f5843,f5874,f5919,f5941,f5950,f5958,f6067,f6299,f6302,f6309,f6346,f6409,f6428,f6440,f6481,f6515,f6648,f6653,f6657,f6695,f6738,f6908,f6910,f6968,f6981,f6998,f7023,f7041,f7043,f7130,f7202,f7382,f7416,f7475,f7597,f7609,f7627,f7629,f7647,f7652,f7657,f7673,f7675,f7718,f7727,f7759,f7782,f7931,f8042,f8046,f8052,f8103,f8254,f8289,f8295,f8314,f8315,f8376,f8604,f8610,f8632,f8858,f8872,f8929,f9041,f9127,f9132,f9201,f9335,f9498,f9541,f9601,f9610,f9620,f9634,f9651,f9757,f9774,f9784,f9799,f9831,f9911,f10163,f10183,f10299,f10310,f10311,f10432,f10459,f10476,f10488,f10639,f10772,f11025,f11093,f11318,f11332,f11352,f11456,f11662,f11669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG131+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:03:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 5.59/1.31 % Refutation found
% 5.59/1.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.59/1.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.59/1.36 % Elapsed time: 1.002182 seconds
% 0.59/1.36 % CPU time: 7.500365 seconds
% 0.59/1.36 % Total memory used: 79.922 MB
% 0.59/1.36 % Net memory used: 78.132 MB
%------------------------------------------------------------------------------