TSTP Solution File: ALG131+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG131+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:10 EDT 2024
% Result : Unsatisfiable 3.86s 0.87s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 163
% Syntax : Number of formulae : 1565 ( 55 unt; 0 def)
% Number of atoms : 5951 (3118 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 8037 (3651 ~;2743 |;1509 &)
% ( 119 <=>; 15 =>; 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(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) = e1
| op(e2,op(e2,e0)) = e2
| op(e3,op(e3,e0)) = e3 )
& ( op(e0,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) = e2
| op(e3,op(e3,e1)) = e3 )
& ( op(e0,op(e0,e2)) = e0
| op(e1,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) = e3 )
& ( op(e0,op(e0,e3)) = e0
| op(e1,op(e1,e3)) = e1
| op(e2,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f71,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( pd0_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( ( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) = e1
| op(e2,op(e2,e0)) = e2
| op(e3,op(e3,e0)) = e3 )
& ( op(e0,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) = e2
| op(e3,op(e3,e1)) = e3 )
& ( op(e0,op(e0,e2)) = e0
| op(e1,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) = e3 )
& ( op(e0,op(e0,e3)) = e0
| op(e1,op(e1,e3)) = e1
| op(e2,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3 )
& ( pd0_0
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e0,op(e0,e0)) = e0
| op(e1,op(e1,e0)) = e1
| op(e2,op(e2,e0)) = e2
| op(e3,op(e3,e0)) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
( op(e0,op(e0,e1)) = e0
| op(e1,op(e1,e1)) = e1
| op(e2,op(e2,e1)) = e2
| op(e3,op(e3,e1)) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( op(e0,op(e0,e2)) = e0
| op(e1,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e3,op(e3,e2)) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
( op(e0,op(e0,e3)) = e0
| op(e1,op(e1,e3)) = e1
| op(e2,op(e2,e3)) = e2
| op(e3,op(e3,e3)) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f140,plain,
( pd0_0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f141,plain,
( pd0_0
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
( pd0_0
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
( pd0_0
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f144,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f145,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f144]) ).
fof(f146,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f147,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f149,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f151,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f153,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f155,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f157,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f159,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f161,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f163,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f165,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f167,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f169,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f171,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f173,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f174,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f175,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f177,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f179,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f180,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f181,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f183,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f185,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f187,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f188,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f189,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f191,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f192,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f193,plain,
( pd0_1
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ) ),
introduced(predicate_definition,[f192]) ).
fof(f194,plain,
( ~ pd0_0
| pd0_1
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f192,f193]) ).
fof(f195,plain,
( ~ pd0_0
| pd0_1
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f196,plain,
( ~ pd0_0
| pd0_1
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f197,plain,
( ~ pd0_0
| pd0_1
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f198,plain,
( ~ pd0_0
| pd0_1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f199,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f200,plain,
( ~ pd0_0
| pd0_1
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f201,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f193]) ).
fof(f202,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ) ),
introduced(predicate_definition,[f201]) ).
fof(f203,plain,
( ~ pd0_1
| pd0_2
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f201,f202]) ).
fof(f204,plain,
( ~ pd0_1
| pd0_2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f205,plain,
( ~ pd0_1
| pd0_2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f206,plain,
( ~ pd0_1
| pd0_2
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f207,plain,
( ~ pd0_1
| pd0_2
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f209,plain,
( ~ pd0_1
| pd0_2
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f210,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f202]) ).
fof(f211,plain,
( pd0_3
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f210]) ).
fof(f212,plain,
( ~ pd0_2
| pd0_3
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f210,f211]) ).
fof(f213,plain,
( ~ pd0_2
| pd0_3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f214,plain,
( ~ pd0_2
| pd0_3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f215,plain,
( ~ pd0_2
| pd0_3
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f216,plain,
( ~ pd0_2
| pd0_3
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f217,plain,
( ~ pd0_2
| pd0_3
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f218,plain,
( ~ pd0_2
| pd0_3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f219,plain,
( ~ pd0_3
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f211]) ).
fof(f220,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ) ),
introduced(predicate_definition,[f219]) ).
fof(f221,plain,
( ~ pd0_3
| pd0_4
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f219,f220]) ).
fof(f222,plain,
( ~ pd0_3
| pd0_4
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f223,plain,
( ~ pd0_3
| pd0_4
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f224,plain,
( ~ pd0_3
| pd0_4
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f225,plain,
( ~ pd0_3
| pd0_4
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f226,plain,
( ~ pd0_3
| pd0_4
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f227,plain,
( ~ pd0_3
| pd0_4
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f228,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f220]) ).
fof(f229,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ) ),
introduced(predicate_definition,[f228]) ).
fof(f230,plain,
( ~ pd0_4
| pd0_5
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f228,f229]) ).
fof(f231,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f233,plain,
( ~ pd0_4
| pd0_5
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f234,plain,
( ~ pd0_4
| pd0_5
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f235,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f236,plain,
( ~ pd0_4
| pd0_5
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f237,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f229]) ).
fof(f238,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ) ),
introduced(predicate_definition,[f237]) ).
fof(f239,plain,
( ~ pd0_5
| pd0_6
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f237,f238]) ).
fof(f240,plain,
( ~ pd0_5
| pd0_6
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f241,plain,
( ~ pd0_5
| pd0_6
| op(e1,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f242,plain,
( ~ pd0_5
| pd0_6
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f243,plain,
( ~ pd0_5
| pd0_6
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f244,plain,
( ~ pd0_5
| pd0_6
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f245,plain,
( ~ pd0_5
| pd0_6
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f246,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f238]) ).
fof(f247,plain,
( pd0_7
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f246]) ).
fof(f248,plain,
( ~ pd0_6
| pd0_7
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f246,f247]) ).
fof(f249,plain,
( ~ pd0_6
| pd0_7
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f250,plain,
( ~ pd0_6
| pd0_7
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f251,plain,
( ~ pd0_6
| pd0_7
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f252,plain,
( ~ pd0_6
| pd0_7
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f253,plain,
( ~ pd0_6
| pd0_7
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f254,plain,
( ~ pd0_6
| pd0_7
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f255,plain,
( ~ pd0_7
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f247]) ).
fof(f256,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ) ),
introduced(predicate_definition,[f255]) ).
fof(f257,plain,
( ~ pd0_7
| pd0_8
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f255,f256]) ).
fof(f258,plain,
( ~ pd0_7
| pd0_8
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f259,plain,
( ~ pd0_7
| pd0_8
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f260,plain,
( ~ pd0_7
| pd0_8
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f261,plain,
( ~ pd0_7
| pd0_8
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f263,plain,
( ~ pd0_7
| pd0_8
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f264,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f256]) ).
fof(f265,plain,
( pd0_9
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ) ),
introduced(predicate_definition,[f264]) ).
fof(f266,plain,
( ~ pd0_8
| pd0_9
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f264,f265]) ).
fof(f267,plain,
( ~ pd0_8
| pd0_9
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f268,plain,
( ~ pd0_8
| pd0_9
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f269,plain,
( ~ pd0_8
| pd0_9
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f270,plain,
( ~ pd0_8
| pd0_9
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f271,plain,
( ~ pd0_8
| pd0_9
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f272,plain,
( ~ pd0_8
| pd0_9
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f273,plain,
( ~ pd0_9
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f265]) ).
fof(f274,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ) ),
introduced(predicate_definition,[f273]) ).
fof(f275,plain,
( ~ pd0_9
| pd0_10
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f273,f274]) ).
fof(f276,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f278,plain,
( ~ pd0_9
| pd0_10
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f279,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f280,plain,
( ~ pd0_9
| pd0_10
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f281,plain,
( ~ pd0_9
| pd0_10
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f282,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f274]) ).
fof(f283,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f282]) ).
fof(f284,plain,
( ~ pd0_10
| pd0_11
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(formula_renaming,[status(thm)],[f282,f283]) ).
fof(f285,plain,
( ~ pd0_10
| pd0_11
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f286,plain,
( ~ pd0_10
| pd0_11
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f287,plain,
( ~ pd0_10
| pd0_11
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f288,plain,
( ~ pd0_10
| pd0_11
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f289,plain,
( ~ pd0_10
| pd0_11
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f290,plain,
( ~ pd0_10
| pd0_11
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f291,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f283]) ).
fof(f292,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ) ),
introduced(predicate_definition,[f291]) ).
fof(f293,plain,
( ~ pd0_11
| pd0_12
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e0,e0) != e3
& op(e1,e1) != e3
& op(e2,e2) != e3
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f291,f292]) ).
fof(f294,plain,
( ~ pd0_11
| pd0_12
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f295,plain,
( ~ pd0_11
| pd0_12
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f296,plain,
( ~ pd0_11
| pd0_12
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f297,plain,
( ~ pd0_11
| pd0_12
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f298,plain,
( ~ pd0_11
| pd0_12
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f299,plain,
( ~ pd0_11
| pd0_12
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f293]) ).
fof(f300,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f292]) ).
fof(f301,plain,
( pd0_13
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ) ),
introduced(predicate_definition,[f300]) ).
fof(f302,plain,
( ~ pd0_12
| pd0_13
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e0,e0) != e2
& op(e1,e1) != e2
& op(e2,e2) != e2
& op(e3,e3) != e2 ) ),
inference(formula_renaming,[status(thm)],[f300,f301]) ).
fof(f303,plain,
( ~ pd0_12
| pd0_13
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f304,plain,
( ~ pd0_12
| pd0_13
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f305,plain,
( ~ pd0_12
| pd0_13
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f306,plain,
( ~ pd0_12
| pd0_13
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f307,plain,
( ~ pd0_12
| pd0_13
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f308,plain,
( ~ pd0_12
| pd0_13
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f309,plain,
( ~ pd0_13
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f301]) ).
fof(f310,plain,
( pd0_14
=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
introduced(predicate_definition,[f309]) ).
fof(f311,plain,
( ~ pd0_13
| pd0_14
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e0,e0) != e1
& op(e1,e1) != e1
& op(e2,e2) != e1
& op(e3,e3) != e1 ) ),
inference(formula_renaming,[status(thm)],[f309,f310]) ).
fof(f312,plain,
( ~ pd0_13
| pd0_14
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f313,plain,
( ~ pd0_13
| pd0_14
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f314,plain,
( ~ pd0_13
| pd0_14
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f315,plain,
( ~ pd0_13
| pd0_14
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f316,plain,
( ~ pd0_13
| pd0_14
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f317,plain,
( ~ pd0_13
| pd0_14
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f318,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e2,e2) != e0
& op(e3,e3) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f310]) ).
fof(f319,plain,
( ~ pd0_14
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f321,plain,
( ~ pd0_14
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f322,plain,
( ~ pd0_14
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f323,plain,
( ~ pd0_14
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f324,plain,
( ~ pd0_14
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f325,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f327,plain,
( op(e0,e0) != e0
| spl0_0 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f335,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f325,f328,f331,f334]) ).
fof(f338,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f338,f341,f344,f347]) ).
fof(f351,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f351,f354,f357,f360]) ).
fof(f364,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f364,f367,f370,f373]) ).
fof(f377,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f377,f380,f383,f386]) ).
fof(f390,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( op(e1,e1) != e1
| spl0_21 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f400,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f390,f393,f396,f399]) ).
fof(f403,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e1,e2) != e1
| spl0_25 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f413,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f403,f406,f409,f412]) ).
fof(f416,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( op(e1,e3) != e1
| spl0_29 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f416,f419,f422,f425]) ).
fof(f429,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f429,f432,f435,f438]) ).
fof(f442,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f442,f445,f448,f451]) ).
fof(f455,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( op(e2,e2) != e2
| spl0_42 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f455,f458,f461,f464]) ).
fof(f468,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f468,f471,f474,f477]) ).
fof(f481,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f481,f484,f487,f490]) ).
fof(f494,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( op(e3,e1) != e3
| spl0_55 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f494,f497,f500,f503]) ).
fof(f507,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f508,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f511,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f507,f510,f513,f516]) ).
fof(f520,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f520,f523,f526,f529]) ).
fof(f533,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f325,f338,f351,f364]) ).
fof(f534,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f325,f377,f429,f481]) ).
fof(f535,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f328,f341,f354,f367]) ).
fof(f536,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f328,f380,f432,f484]) ).
fof(f537,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f331,f344,f357,f370]) ).
fof(f538,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f331,f383,f435,f487]) ).
fof(f539,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f334,f347,f360,f373]) ).
fof(f540,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f334,f386,f438,f490]) ).
fof(f541,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f377,f390,f403,f416]) ).
fof(f542,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f338,f390,f442,f494]) ).
fof(f543,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f380,f393,f406,f419]) ).
fof(f544,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f341,f393,f445,f497]) ).
fof(f545,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f383,f396,f409,f422]) ).
fof(f546,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f344,f396,f448,f500]) ).
fof(f547,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f386,f399,f412,f425]) ).
fof(f548,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f347,f399,f451,f503]) ).
fof(f549,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f429,f442,f455,f468]) ).
fof(f550,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f351,f403,f455,f507]) ).
fof(f551,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f432,f445,f458,f471]) ).
fof(f552,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f354,f406,f458,f510]) ).
fof(f553,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f435,f448,f461,f474]) ).
fof(f554,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f357,f409,f461,f513]) ).
fof(f555,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f438,f451,f464,f477]) ).
fof(f556,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f360,f412,f464,f516]) ).
fof(f557,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f481,f494,f507,f520]) ).
fof(f558,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f364,f416,f468,f520]) ).
fof(f559,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f484,f497,f510,f523]) ).
fof(f560,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f367,f419,f471,f523]) ).
fof(f561,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f487,f500,f513,f526]) ).
fof(f562,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f370,f422,f474,f526]) ).
fof(f563,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f490,f503,f516,f529]) ).
fof(f564,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f373,f425,f477,f529]) ).
fof(f565,plain,
( spl0_64
<=> op(e0,op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( op(e0,op(e0,e0)) = e0
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( op(e0,op(e0,e0)) != e0
| spl0_64 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_65
<=> op(e1,op(e1,e0)) = e1 ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( op(e1,op(e1,e0)) = e1
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_66
<=> op(e2,op(e2,e0)) = e2 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op(e2,op(e2,e0)) = e2
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_67
<=> op(e3,op(e3,e0)) = e3 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op(e3,op(e3,e0)) = e3
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( op(e3,op(e3,e0)) != e3
| spl0_67 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f134,f565,f568,f571,f574]) ).
fof(f578,plain,
( spl0_68
<=> op(e0,op(e0,e1)) = e0 ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( op(e0,op(e0,e1)) = e0
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( op(e0,op(e0,e1)) != e0
| spl0_68 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_69
<=> op(e1,op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( op(e1,op(e1,e1)) = e1
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( op(e1,op(e1,e1)) != e1
| spl0_69 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( spl0_70
<=> op(e2,op(e2,e1)) = e2 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op(e2,op(e2,e1)) = e2
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( op(e2,op(e2,e1)) != e2
| spl0_70 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_71
<=> op(e3,op(e3,e1)) = e3 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op(e3,op(e3,e1)) = e3
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( op(e3,op(e3,e1)) != e3
| spl0_71 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f135,f578,f581,f584,f587]) ).
fof(f591,plain,
( spl0_72
<=> op(e0,op(e0,e2)) = e0 ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( op(e0,op(e0,e2)) = e0
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( op(e0,op(e0,e2)) != e0
| spl0_72 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( spl0_73
<=> op(e1,op(e1,e2)) = e1 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(e1,op(e1,e2)) = e1
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( op(e1,op(e1,e2)) != e1
| spl0_73 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( spl0_74
<=> op(e2,op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op(e2,op(e2,e2)) = e2
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( op(e2,op(e2,e2)) != e2
| spl0_74 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_75
<=> op(e3,op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op(e3,op(e3,e2)) = e3
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f136,f591,f594,f597,f600]) ).
fof(f604,plain,
( spl0_76
<=> op(e0,op(e0,e3)) = e0 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( op(e0,op(e0,e3)) = e0
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( op(e0,op(e0,e3)) != e0
| spl0_76 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( spl0_77
<=> op(e1,op(e1,e3)) = e1 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( op(e1,op(e1,e3)) = e1
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( op(e1,op(e1,e3)) != e1
| spl0_77 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( spl0_78
<=> op(e2,op(e2,e3)) = e2 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(e2,op(e2,e3)) = e2
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( op(e2,op(e2,e3)) != e2
| spl0_78 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( spl0_79
<=> op(e3,op(e3,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( op(e3,op(e3,e3)) = e3
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( op(e3,op(e3,e3)) != e3
| spl0_79 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f137,f604,f607,f610,f613]) ).
fof(f617,plain,
( spl0_80
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( spl0_80
| spl0_63 ),
inference(split_clause,[status(thm)],[f138,f617,f529]) ).
fof(f622,plain,
( spl0_80
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f140,f617,f334]) ).
fof(f623,plain,
( spl0_80
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f141,f617,f399]) ).
fof(f624,plain,
( spl0_80
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f142,f617,f464]) ).
fof(f625,plain,
( spl0_80
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f143,f617,f529]) ).
fof(f626,plain,
( spl0_81
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f628,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| spl0_81 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_82
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( e2 = op(e3,op(e3,e3))
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( e2 != op(e3,op(e3,e3))
| spl0_82 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( ~ spl0_81
| ~ spl0_61
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f145,f626,f523,f629]) ).
fof(f633,plain,
( spl0_83
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( e0 = op(op(e2,op(e2,e2)),e2)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| spl0_83 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( spl0_84
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( e3 != op(e2,op(e2,e2))
| spl0_84 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( ~ spl0_83
| ~ spl0_41
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f147,f633,f458,f636]) ).
fof(f640,plain,
( spl0_85
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( e1 != op(e3,op(e3,e3))
| spl0_85 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( ~ spl0_81
| ~ spl0_62
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f149,f626,f526,f640]) ).
fof(f644,plain,
( spl0_86
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| spl0_86 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( spl0_87
<=> e3 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f648,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f649,plain,
( e3 != op(e1,op(e1,e1))
| spl0_87 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( ~ spl0_86
| ~ spl0_22
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f151,f644,f396,f647]) ).
fof(f651,plain,
( spl0_88
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( e1 != op(e2,op(e2,e2))
| spl0_88 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( ~ spl0_83
| ~ spl0_43
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f153,f633,f464,f651]) ).
fof(f655,plain,
( spl0_89
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( e2 != op(e1,op(e1,e1))
| spl0_89 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ spl0_86
| ~ spl0_23
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f155,f644,f399,f655]) ).
fof(f659,plain,
( spl0_90
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f661,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| spl0_90 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ spl0_90
| ~ spl0_60
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f157,f659,f520,f629]) ).
fof(f663,plain,
( spl0_91
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| spl0_91 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ spl0_91
| ~ spl0_40
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f159,f663,f455,f636]) ).
fof(f667,plain,
( spl0_92
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( e0 = op(e3,op(e3,e3))
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( e0 != op(e3,op(e3,e3))
| spl0_92 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( ~ spl0_90
| ~ spl0_62
| ~ spl0_92 ),
inference(split_clause,[status(thm)],[f161,f659,f526,f667]) ).
fof(f671,plain,
( spl0_93
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| spl0_93 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_94
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( e3 != op(e0,op(e0,e0))
| spl0_94 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ spl0_93
| ~ spl0_2
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f163,f671,f331,f674]) ).
fof(f678,plain,
( spl0_95
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( e0 = op(e2,op(e2,e2))
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( e0 != op(e2,op(e2,e2))
| spl0_95 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( ~ spl0_91
| ~ spl0_43
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f165,f663,f464,f678]) ).
fof(f682,plain,
( spl0_96
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f683,plain,
( e2 = op(e0,op(e0,e0))
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( e2 != op(e0,op(e0,e0))
| spl0_96 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( ~ spl0_93
| ~ spl0_3
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f167,f671,f334,f682]) ).
fof(f686,plain,
( spl0_97
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| spl0_97 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( ~ spl0_97
| ~ spl0_60
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f169,f686,f520,f640]) ).
fof(f690,plain,
( spl0_98
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| spl0_98 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ spl0_98
| ~ spl0_20
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f171,f690,f390,f647]) ).
fof(f694,plain,
( ~ spl0_97
| ~ spl0_61
| ~ spl0_92 ),
inference(split_clause,[status(thm)],[f173,f686,f523,f667]) ).
fof(f695,plain,
( spl0_99
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f697,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| spl0_99 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( ~ spl0_99
| ~ spl0_1
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f175,f695,f328,f674]) ).
fof(f699,plain,
( spl0_100
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f700,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f701,plain,
( e0 != op(e1,op(e1,e1))
| spl0_100 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( ~ spl0_98
| ~ spl0_23
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f177,f690,f399,f699]) ).
fof(f703,plain,
( spl0_101
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( e1 = op(e0,op(e0,e0))
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( e1 != op(e0,op(e0,e0))
| spl0_101 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ spl0_99
| ~ spl0_3
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f179,f695,f334,f703]) ).
fof(f707,plain,
( spl0_102
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f709,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| spl0_102 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ spl0_102
| ~ spl0_40
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f181,f707,f455,f651]) ).
fof(f711,plain,
( spl0_103
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f712,plain,
( e3 = op(op(e1,op(e1,e1)),e1)
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| spl0_103 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ spl0_103
| ~ spl0_20
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f183,f711,f390,f655]) ).
fof(f715,plain,
( ~ spl0_102
| ~ spl0_41
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f185,f707,f458,f678]) ).
fof(f716,plain,
( spl0_104
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| spl0_104 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( ~ spl0_104
| ~ spl0_1
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f187,f716,f328,f682]) ).
fof(f720,plain,
( ~ spl0_103
| ~ spl0_22
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f189,f711,f396,f699]) ).
fof(f721,plain,
( ~ spl0_104
| ~ spl0_2
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f191,f716,f331,f703]) ).
fof(f722,plain,
( spl0_105
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( ~ spl0_80
| spl0_105
| spl0_59 ),
inference(split_clause,[status(thm)],[f195,f617,f722,f516]) ).
fof(f726,plain,
( ~ spl0_80
| spl0_105
| spl0_47 ),
inference(split_clause,[status(thm)],[f196,f617,f722,f477]) ).
fof(f727,plain,
( ~ spl0_80
| spl0_105
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f197,f617,f722,f331]) ).
fof(f728,plain,
( ~ spl0_80
| spl0_105
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f198,f617,f722,f396]) ).
fof(f729,plain,
( ~ spl0_80
| spl0_105
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f199,f617,f722,f461]) ).
fof(f730,plain,
( ~ spl0_80
| spl0_105
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f200,f617,f722,f526]) ).
fof(f731,plain,
( spl0_106
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( ~ spl0_105
| spl0_106
| spl0_55 ),
inference(split_clause,[status(thm)],[f204,f722,f731,f503]) ).
fof(f735,plain,
( ~ spl0_105
| spl0_106
| spl0_31 ),
inference(split_clause,[status(thm)],[f205,f722,f731,f425]) ).
fof(f736,plain,
( ~ spl0_105
| spl0_106
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f206,f722,f731,f328]) ).
fof(f737,plain,
( ~ spl0_105
| spl0_106
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f207,f722,f731,f393]) ).
fof(f739,plain,
( ~ spl0_105
| spl0_106
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f209,f722,f731,f523]) ).
fof(f740,plain,
( spl0_107
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( ~ spl0_106
| spl0_107
| spl0_51 ),
inference(split_clause,[status(thm)],[f213,f731,f740,f490]) ).
fof(f744,plain,
( ~ spl0_106
| spl0_107
| spl0_15 ),
inference(split_clause,[status(thm)],[f214,f731,f740,f373]) ).
fof(f745,plain,
( ~ spl0_106
| spl0_107
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f215,f731,f740,f325]) ).
fof(f746,plain,
( ~ spl0_106
| spl0_107
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f216,f731,f740,f390]) ).
fof(f747,plain,
( ~ spl0_106
| spl0_107
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f217,f731,f740,f455]) ).
fof(f748,plain,
( ~ spl0_106
| spl0_107
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f218,f731,f740,f520]) ).
fof(f749,plain,
( spl0_108
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( ~ spl0_107
| spl0_108
| spl0_46 ),
inference(split_clause,[status(thm)],[f222,f740,f749,f474]) ).
fof(f753,plain,
( ~ spl0_107
| spl0_108
| spl0_58 ),
inference(split_clause,[status(thm)],[f223,f740,f749,f513]) ).
fof(f754,plain,
( ~ spl0_107
| spl0_108
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f224,f740,f749,f334]) ).
fof(f755,plain,
( ~ spl0_107
| spl0_108
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f225,f740,f749,f399]) ).
fof(f756,plain,
( ~ spl0_107
| spl0_108
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f226,f740,f749,f464]) ).
fof(f757,plain,
( ~ spl0_107
| spl0_108
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f227,f740,f749,f529]) ).
fof(f758,plain,
( spl0_109
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f761,plain,
( ~ spl0_108
| spl0_109
| spl0_42 ),
inference(split_clause,[status(thm)],[f231,f749,f758,f461]) ).
fof(f763,plain,
( ~ spl0_108
| spl0_109
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f233,f749,f758,f331]) ).
fof(f764,plain,
( ~ spl0_108
| spl0_109
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f234,f749,f758,f396]) ).
fof(f765,plain,
( ~ spl0_108
| spl0_109
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f235,f749,f758,f461]) ).
fof(f766,plain,
( ~ spl0_108
| spl0_109
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f236,f749,f758,f526]) ).
fof(f767,plain,
( spl0_110
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( ~ spl0_109
| spl0_110
| spl0_38 ),
inference(split_clause,[status(thm)],[f240,f758,f767,f448]) ).
fof(f771,plain,
( ~ spl0_109
| spl0_110
| spl0_26 ),
inference(split_clause,[status(thm)],[f241,f758,f767,f409]) ).
fof(f772,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f242,f758,f767,f328]) ).
fof(f773,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f243,f758,f767,f393]) ).
fof(f774,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f244,f758,f767,f458]) ).
fof(f775,plain,
( ~ spl0_109
| spl0_110
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f245,f758,f767,f523]) ).
fof(f776,plain,
( spl0_111
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( ~ spl0_110
| spl0_111
| spl0_34 ),
inference(split_clause,[status(thm)],[f249,f767,f776,f435]) ).
fof(f780,plain,
( ~ spl0_110
| spl0_111
| spl0_10 ),
inference(split_clause,[status(thm)],[f250,f767,f776,f357]) ).
fof(f781,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f251,f767,f776,f325]) ).
fof(f782,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f252,f767,f776,f390]) ).
fof(f783,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f253,f767,f776,f455]) ).
fof(f784,plain,
( ~ spl0_110
| spl0_111
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f254,f767,f776,f520]) ).
fof(f785,plain,
( spl0_112
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( ~ spl0_111
| spl0_112
| spl0_29 ),
inference(split_clause,[status(thm)],[f258,f776,f785,f419]) ).
fof(f789,plain,
( ~ spl0_111
| spl0_112
| spl0_53 ),
inference(split_clause,[status(thm)],[f259,f776,f785,f497]) ).
fof(f790,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f260,f776,f785,f334]) ).
fof(f791,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f261,f776,f785,f399]) ).
fof(f793,plain,
( ~ spl0_111
| spl0_112
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f263,f776,f785,f529]) ).
fof(f794,plain,
( spl0_113
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f797,plain,
( ~ spl0_112
| spl0_113
| spl0_25 ),
inference(split_clause,[status(thm)],[f267,f785,f794,f406]) ).
fof(f798,plain,
( ~ spl0_112
| spl0_113
| spl0_37 ),
inference(split_clause,[status(thm)],[f268,f785,f794,f445]) ).
fof(f799,plain,
( ~ spl0_112
| spl0_113
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f269,f785,f794,f331]) ).
fof(f800,plain,
( ~ spl0_112
| spl0_113
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f270,f785,f794,f396]) ).
fof(f801,plain,
( ~ spl0_112
| spl0_113
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f271,f785,f794,f461]) ).
fof(f802,plain,
( ~ spl0_112
| spl0_113
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f272,f785,f794,f526]) ).
fof(f803,plain,
( spl0_114
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( ~ spl0_113
| spl0_114
| spl0_21 ),
inference(split_clause,[status(thm)],[f276,f794,f803,f393]) ).
fof(f808,plain,
( ~ spl0_113
| spl0_114
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f278,f794,f803,f328]) ).
fof(f809,plain,
( ~ spl0_113
| spl0_114
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f279,f794,f803,f393]) ).
fof(f810,plain,
( ~ spl0_113
| spl0_114
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f280,f794,f803,f458]) ).
fof(f811,plain,
( ~ spl0_113
| spl0_114
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f281,f794,f803,f523]) ).
fof(f812,plain,
( spl0_115
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( ~ spl0_114
| spl0_115
| spl0_17 ),
inference(split_clause,[status(thm)],[f285,f803,f812,f380]) ).
fof(f816,plain,
( ~ spl0_114
| spl0_115
| spl0_5 ),
inference(split_clause,[status(thm)],[f286,f803,f812,f341]) ).
fof(f817,plain,
( ~ spl0_114
| spl0_115
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f287,f803,f812,f325]) ).
fof(f818,plain,
( ~ spl0_114
| spl0_115
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f288,f803,f812,f390]) ).
fof(f819,plain,
( ~ spl0_114
| spl0_115
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f289,f803,f812,f455]) ).
fof(f820,plain,
( ~ spl0_114
| spl0_115
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f290,f803,f812,f520]) ).
fof(f821,plain,
( spl0_116
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f824,plain,
( ~ spl0_115
| spl0_116
| spl0_12 ),
inference(split_clause,[status(thm)],[f294,f812,f821,f364]) ).
fof(f825,plain,
( ~ spl0_115
| spl0_116
| spl0_48 ),
inference(split_clause,[status(thm)],[f295,f812,f821,f481]) ).
fof(f826,plain,
( ~ spl0_115
| spl0_116
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f296,f812,f821,f334]) ).
fof(f827,plain,
( ~ spl0_115
| spl0_116
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f297,f812,f821,f399]) ).
fof(f828,plain,
( ~ spl0_115
| spl0_116
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f298,f812,f821,f464]) ).
fof(f829,plain,
( ~ spl0_115
| spl0_116
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f299,f812,f821,f529]) ).
fof(f830,plain,
( spl0_117
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f833,plain,
( ~ spl0_116
| spl0_117
| spl0_8 ),
inference(split_clause,[status(thm)],[f303,f821,f830,f351]) ).
fof(f834,plain,
( ~ spl0_116
| spl0_117
| spl0_32 ),
inference(split_clause,[status(thm)],[f304,f821,f830,f429]) ).
fof(f835,plain,
( ~ spl0_116
| spl0_117
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f305,f821,f830,f331]) ).
fof(f836,plain,
( ~ spl0_116
| spl0_117
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f306,f821,f830,f396]) ).
fof(f837,plain,
( ~ spl0_116
| spl0_117
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f307,f821,f830,f461]) ).
fof(f838,plain,
( ~ spl0_116
| spl0_117
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f308,f821,f830,f526]) ).
fof(f839,plain,
( spl0_118
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f842,plain,
( ~ spl0_117
| spl0_118
| spl0_4 ),
inference(split_clause,[status(thm)],[f312,f830,f839,f338]) ).
fof(f843,plain,
( ~ spl0_117
| spl0_118
| spl0_16 ),
inference(split_clause,[status(thm)],[f313,f830,f839,f377]) ).
fof(f844,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f314,f830,f839,f328]) ).
fof(f845,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f315,f830,f839,f393]) ).
fof(f846,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f316,f830,f839,f458]) ).
fof(f847,plain,
( ~ spl0_117
| spl0_118
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f317,f830,f839,f523]) ).
fof(f848,plain,
( ~ spl0_118
| spl0_0 ),
inference(split_clause,[status(thm)],[f319,f839,f325]) ).
fof(f850,plain,
( ~ spl0_118
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f321,f839,f325]) ).
fof(f851,plain,
( ~ spl0_118
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f322,f839,f390]) ).
fof(f852,plain,
( ~ spl0_118
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f323,f839,f455]) ).
fof(f853,plain,
( ~ spl0_118
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f324,f839,f520]) ).
fof(f855,plain,
( e0 != op(e0,e2)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f339,f105]) ).
fof(f856,plain,
( op(e0,e0) != e0
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f339,f102]) ).
fof(f858,plain,
( e0 != op(e2,e1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f339,f85]) ).
fof(f859,plain,
( e0 != op(e1,e1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f339,f84]) ).
fof(f862,plain,
( e0 != op(e1,e1)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f378,f108]) ).
fof(f863,plain,
( e0 != op(e3,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f378,f82]) ).
fof(f864,plain,
( e0 != op(e2,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f378,f81]) ).
fof(f865,plain,
( op(e0,e0) != e0
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f378,f78]) ).
fof(f867,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f352,f103]) ).
fof(f869,plain,
( e0 != op(e2,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f352,f91]) ).
fof(f870,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f352,f90]) ).
fof(f872,plain,
( e0 != op(e2,e2)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f430,f115]) ).
fof(f873,plain,
( e0 != op(e2,e1)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f430,f114]) ).
fof(f875,plain,
( op(e0,e0) != e0
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f430,f79]) ).
fof(f876,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f517,f125]) ).
fof(f877,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f517,f123]) ).
fof(f879,plain,
( op(e2,e2) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f517,f95]) ).
fof(f883,plain,
( e3 != op(e3,e3)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f478,f101]) ).
fof(f885,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f478,f97]) ).
fof(f886,plain,
( e2 != op(e2,e2)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f449,f117]) ).
fof(f887,plain,
( e2 != op(e3,e1)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f449,f89]) ).
fof(f888,plain,
( op(e1,e1) != e2
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f449,f87]) ).
fof(f889,plain,
( e2 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f410,f113]) ).
fof(f890,plain,
( op(e1,e1) != e2
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f410,f111]) ).
fof(f892,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f430,f436]) ).
fof(f893,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f127]) ).
fof(f894,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f449,f114]) ).
fof(f897,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f352,f358]) ).
fof(f898,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f127]) ).
fof(f899,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( op(e0,e2) != e3
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f517,f92]) ).
fof(f901,plain,
( op(e0,e2) != e2
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f410,f90]) ).
fof(f902,plain,
( e2 = e1
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f410,f407]) ).
fof(f903,plain,
( $false
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f129]) ).
fof(f904,plain,
( ~ spl0_26
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f905,plain,
( e2 = e1
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f449,f446]) ).
fof(f906,plain,
( $false
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f129]) ).
fof(f907,plain,
( ~ spl0_38
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f908,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f378,f381]) ).
fof(f909,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f126]) ).
fof(f910,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( ~ spl0_40
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f869,f455,f351]) ).
fof(f914,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f339,f342]) ).
fof(f915,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f126]) ).
fof(f916,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( op(e2,e0) != e0
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f482,f83]) ).
fof(f919,plain,
( ~ spl0_32
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f918,f429,f481]) ).
fof(f920,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f482,f122]) ).
fof(f921,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f920,f520,f481]) ).
fof(f922,plain,
( e0 != op(e3,e1)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f482,f120]) ).
fof(f923,plain,
( op(e0,e0) != e0
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f482,f80]) ).
fof(f924,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f859,f390,f338]) ).
fof(f925,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f862,f390,f377]) ).
fof(f926,plain,
( e0 != e0
| ~ spl0_48
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f482,f863]) ).
fof(f927,plain,
( $false
| ~ spl0_48
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f926]) ).
fof(f928,plain,
( ~ spl0_48
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f365,f106]) ).
fof(f930,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f929,f338,f364]) ).
fof(f932,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f365,f104]) ).
fof(f933,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f365,f98]) ).
fof(f934,plain,
( ~ spl0_60
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f933,f520,f364]) ).
fof(f935,plain,
( e0 != op(e1,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f365,f96]) ).
fof(f936,plain,
( op(e3,e0) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f498,f120]) ).
fof(f937,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f498,f86]) ).
fof(f938,plain,
( op(e2,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f498,f89]) ).
fof(f939,plain,
( e1 != op(e3,e3)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f498,f124]) ).
fof(f940,plain,
( op(e1,e1) != e1
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f498,f88]) ).
fof(f942,plain,
( op(e1,e0) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f420,f110]) ).
fof(f943,plain,
( op(e1,e2) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f420,f113]) ).
fof(f944,plain,
( op(e1,e1) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f420,f112]) ).
fof(f945,plain,
( e1 != op(e3,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f420,f100]) ).
fof(f946,plain,
( e3 = e2
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f517,f514]) ).
fof(f947,plain,
( $false
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f131]) ).
fof(f948,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f951,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f888,f396,f448]) ).
fof(f952,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f896,f435,f448]) ).
fof(f955,plain,
( e3 = e2
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f478,f475]) ).
fof(f956,plain,
( $false
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f131]) ).
fof(f957,plain,
( ~ spl0_47
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f956]) ).
fof(f958,plain,
( e1 != op(e2,e3)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f420,f99]) ).
fof(f964,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f374,f104]) ).
fof(f967,plain,
( e3 != op(e3,e2)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f491,f121]) ).
fof(f968,plain,
( op(e0,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f491,f80]) ).
fof(f969,plain,
( e3 != op(e3,e3)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f491,f122]) ).
fof(f970,plain,
( op(e2,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f491,f83]) ).
fof(f971,plain,
( op(e1,e0) != e3
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f491,f82]) ).
fof(f972,plain,
( e1 = e3
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f420,f426]) ).
fof(f973,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f130]) ).
fof(f974,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f975,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f374,f96]) ).
fof(f976,plain,
( e3 = e0
| ~ spl0_15
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f374,f365]) ).
fof(f977,plain,
( $false
| ~ spl0_15
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f128]) ).
fof(f978,plain,
( ~ spl0_15
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f979,plain,
( e3 = e0
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f491,f482]) ).
fof(f980,plain,
( $false
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f128]) ).
fof(f981,plain,
( ~ spl0_51
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( ~ spl0_0
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f923,f325,f481]) ).
fof(f983,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f498,f504]) ).
fof(f984,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f130]) ).
fof(f985,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f987,plain,
( e2 != op(e3,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f423,f100]) ).
fof(f988,plain,
( ~ spl0_62
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f987,f526,f422]) ).
fof(f989,plain,
( op(e1,e1) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f423,f112]) ).
fof(f991,plain,
( op(e1,e0) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f423,f110]) ).
fof(f993,plain,
( e2 != op(e1,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f371,f96]) ).
fof(f995,plain,
( op(e0,e2) != e2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f371,f107]) ).
fof(f998,plain,
( e2 != op(e2,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f371,f97]) ).
fof(f999,plain,
( op(e1,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f501,f88]) ).
fof(f1000,plain,
( e2 != op(e3,e3)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f501,f124]) ).
fof(f1002,plain,
( op(e0,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f501,f86]) ).
fof(f1004,plain,
( e2 != op(e3,e2)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f501,f123]) ).
fof(f1006,plain,
( op(e2,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f488,f83]) ).
fof(f1007,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1006,f435,f487]) ).
fof(f1009,plain,
( op(e0,e0) != e2
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f488,f80]) ).
fof(f1010,plain,
( e2 != op(e3,e2)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f488,f121]) ).
fof(f1012,plain,
( e1 != op(e3,e3)
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f472,f101]) ).
fof(f1013,plain,
( ~ spl0_61
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1012,f523,f471]) ).
fof(f1014,plain,
( op(e2,e1) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f472,f118]) ).
fof(f1015,plain,
( ~ spl0_37
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1014,f445,f471]) ).
fof(f1016,plain,
( op(e2,e2) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f472,f119]) ).
fof(f1017,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1016,f458,f471]) ).
fof(f1018,plain,
( op(e2,e0) != e1
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f472,f116]) ).
fof(f1021,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f879,f464,f516]) ).
fof(f1024,plain,
( e2 != e2
| ~ spl0_54
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f501,f887]) ).
fof(f1025,plain,
( $false
| ~ spl0_54
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1024]) ).
fof(f1026,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( e2 = e0
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f371,f365]) ).
fof(f1028,plain,
( $false
| ~ spl0_14
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f127]) ).
fof(f1029,plain,
( ~ spl0_14
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( ~ spl0_59
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f967,f516,f490]) ).
fof(f1032,plain,
( e1 != op(e2,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f368,f97]) ).
fof(f1034,plain,
( op(e0,e0) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f368,f104]) ).
fof(f1035,plain,
( op(e0,e2) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f368,f107]) ).
fof(f1036,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f368,f106]) ).
fof(f1037,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1036,f341,f367]) ).
fof(f1039,plain,
( op(e3,e1) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f511,f123]) ).
fof(f1041,plain,
( op(e1,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f511,f94]) ).
fof(f1042,plain,
( ~ spl0_25
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1041,f406,f510]) ).
fof(f1043,plain,
( op(e2,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f511,f95]) ).
fof(f1044,plain,
( e1 != op(e3,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f511,f125]) ).
fof(f1045,plain,
( ~ spl0_61
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1044,f523,f510]) ).
fof(f1046,plain,
( op(e0,e2) != e1
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f511,f92]) ).
fof(f1047,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f867,f325,f351]) ).
fof(f1048,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f875,f325,f429]) ).
fof(f1049,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f855,f351,f338]) ).
fof(f1052,plain,
( op(e0,e0) != e1
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f485,f80]) ).
fof(f1053,plain,
( e1 != op(e3,e3)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f485,f122]) ).
fof(f1054,plain,
( ~ spl0_61
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1053,f523,f484]) ).
fof(f1059,plain,
( op(e2,e2) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f469,f119]) ).
fof(f1060,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1059,f455,f468]) ).
fof(f1061,plain,
( op(e2,e1) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f469,f118]) ).
fof(f1063,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f469,f99]) ).
fof(f1066,plain,
( op(e1,e0) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f417,f110]) ).
fof(f1069,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f417,f100]) ).
fof(f1070,plain,
( op(e0,e2) != e0
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f508,f92]) ).
fof(f1071,plain,
( e0 != op(e3,e3)
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f508,f125]) ).
fof(f1072,plain,
( op(e2,e2) != e0
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f508,f95]) ).
fof(f1075,plain,
( op(e0,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f495,f86]) ).
fof(f1076,plain,
( op(e2,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f495,f89]) ).
fof(f1077,plain,
( e0 != op(e3,e3)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f495,f124]) ).
fof(f1078,plain,
( op(e1,e1) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f495,f88]) ).
fof(f1080,plain,
( e3 != op(e2,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f413,f93]) ).
fof(f1081,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1080,f464,f412]) ).
fof(f1082,plain,
( op(e1,e1) != e3
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f413,f111]) ).
fof(f1083,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1082,f399,f412]) ).
fof(f1085,plain,
( e0 != e0
| ~ spl0_52
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f495,f922]) ).
fof(f1086,plain,
( $false
| ~ spl0_52
| ~ spl0_48 ),
inference(trivial_equality_resolution,[status(esa)],[f1085]) ).
fof(f1087,plain,
( ~ spl0_52
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1010,f513,f487]) ).
fof(f1089,plain,
( op(e3,e0) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f508,f121]) ).
fof(f1091,plain,
( e0 = e2
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f508,f514]) ).
fof(f1092,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f127]) ).
fof(f1093,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f417,f426]) ).
fof(f1095,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f128]) ).
fof(f1096,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1043,f458,f510]) ).
fof(f1098,plain,
( e3 != op(e0,e3)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f361,f107]) ).
fof(f1100,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f361,f91]) ).
fof(f1101,plain,
( op(e0,e0) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f361,f103]) ).
fof(f1102,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f361,f90]) ).
fof(f1104,plain,
( e3 != op(e3,e1)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f452,f89]) ).
fof(f1107,plain,
( op(e1,e1) != e3
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f452,f87]) ).
fof(f1108,plain,
( e3 != op(e2,e2)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f452,f117]) ).
fof(f1111,plain,
( e3 != op(e2,e3)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f439,f116]) ).
fof(f1113,plain,
( op(e0,e0) != e3
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f439,f79]) ).
fof(f1114,plain,
( e3 != op(e2,e2)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f439,f115]) ).
fof(f1115,plain,
( e3 = e1
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f361,f355]) ).
fof(f1116,plain,
( $false
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f130]) ).
fof(f1117,plain,
( ~ spl0_11
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1118,plain,
( e3 != e3
| ~ spl0_35
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f439,f970]) ).
fof(f1119,plain,
( $false
| ~ spl0_35
| ~ spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f1118]) ).
fof(f1120,plain,
( ~ spl0_35
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f433,f115]) ).
fof(f1122,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f433,f79]) ).
fof(f1123,plain,
( op(e1,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f433,f81]) ).
fof(f1125,plain,
( e1 != op(e3,e0)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f433,f83]) ).
fof(f1126,plain,
( ~ spl0_49
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1125,f484,f432]) ).
fof(f1131,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f404,f113]) ).
fof(f1132,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1131,f416,f403]) ).
fof(f1133,plain,
( e0 != op(e3,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f404,f94]) ).
fof(f1134,plain,
( ~ spl0_56
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1133,f507,f403]) ).
fof(f1135,plain,
( op(e1,e1) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f404,f111]) ).
fof(f1136,plain,
( e0 != op(e2,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f404,f93]) ).
fof(f1138,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f943,f406,f419]) ).
fof(f1139,plain,
( ~ spl0_49
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f936,f484,f497]) ).
fof(f1141,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1098,f373,f360]) ).
fof(f1144,plain,
( ~ spl0_1
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1052,f328,f484]) ).
fof(f1145,plain,
( ~ spl0_32
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f864,f429,f377]) ).
fof(f1146,plain,
( e3 = e1
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f452,f446]) ).
fof(f1147,plain,
( $false
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f130]) ).
fof(f1148,plain,
( ~ spl0_39
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1063,f416,f468]) ).
fof(f1151,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1066,f377,f416]) ).
fof(f1153,plain,
( e3 != op(e3,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f348,f86]) ).
fof(f1154,plain,
( ~ spl0_55
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1153,f503,f347]) ).
fof(f1155,plain,
( e3 != op(e0,e3)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f348,f106]) ).
fof(f1156,plain,
( e3 != op(e1,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f348,f84]) ).
fof(f1157,plain,
( op(e0,e0) != e3
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f348,f102]) ).
fof(f1161,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f993,f422,f370]) ).
fof(f1163,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f995,f357,f370]) ).
fof(f1165,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f975,f425,f373]) ).
fof(f1166,plain,
( ~ spl0_4
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1075,f338,f494]) ).
fof(f1167,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f443,f1076]) ).
fof(f1168,plain,
( $false
| ~ spl0_36
| ~ spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f1167]) ).
fof(f1169,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1168]) ).
fof(f1170,plain,
( ~ spl0_60
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1071,f520,f507]) ).
fof(f1171,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1072,f455,f507]) ).
fof(f1172,plain,
( ~ spl0_3
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1113,f334,f438]) ).
fof(f1173,plain,
( ~ spl0_43
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1114,f464,f438]) ).
fof(f1174,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1104,f503,f451]) ).
fof(f1175,plain,
( ~ spl0_46
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f998,f474,f370]) ).
fof(f1176,plain,
( ~ spl0_0
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f856,f325,f338]) ).
fof(f1177,plain,
( ~ spl0_36
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f858,f442,f338]) ).
fof(f1178,plain,
( ~ spl0_63
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f883,f529,f477]) ).
fof(f1179,plain,
( ~ spl0_23
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1156,f399,f347]) ).
fof(f1180,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f876,f529,f516]) ).
fof(f1181,plain,
( ~ spl0_28
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f935,f416,f364]) ).
fof(f1182,plain,
( ~ spl0_0
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f865,f325,f377]) ).
fof(f1183,plain,
( ~ spl0_36
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1061,f442,f468]) ).
fof(f1186,plain,
( e3 != op(e1,e3)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f387,f110]) ).
fof(f1187,plain,
( ~ spl0_31
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1186,f425,f386]) ).
fof(f1189,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f387,f78]) ).
fof(f1190,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1189,f334,f386]) ).
fof(f1191,plain,
( e3 != op(e1,e1)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f387,f108]) ).
fof(f1192,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1100,f464,f360]) ).
fof(f1193,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1089,f481,f507]) ).
fof(f1194,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f942,f380,f419]) ).
fof(f1195,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1135,f390,f403]) ).
fof(f1196,plain,
( ~ spl0_60
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1069,f520,f416]) ).
fof(f1197,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1035,f354,f367]) ).
fof(f1198,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f345,f102]) ).
fof(f1199,plain,
( e2 != op(e1,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f345,f84]) ).
fof(f1202,plain,
( e2 != op(e0,e2)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f345,f105]) ).
fof(f1203,plain,
( ~ spl0_10
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1202,f357,f344]) ).
fof(f1204,plain,
( e2 != op(e2,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f345,f85]) ).
fof(f1205,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f384,f108]) ).
fof(f1206,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1205,f396,f383]) ).
fof(f1207,plain,
( op(e0,e0) != e2
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f384,f78]) ).
fof(f1208,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1207,f331,f383]) ).
fof(f1209,plain,
( e2 != op(e3,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f384,f82]) ).
fof(f1211,plain,
( e2 != op(e2,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f384,f81]) ).
fof(f1212,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1211,f435,f383]) ).
fof(f1213,plain,
( e2 != op(e1,e2)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f384,f109]) ).
fof(f1214,plain,
( ~ spl0_22
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f999,f396,f500]) ).
fof(f1215,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f968,f334,f490]) ).
fof(f1216,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f964,f334,f373]) ).
fof(f1217,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f889,f422,f409]) ).
fof(f1218,plain,
( ~ spl0_61
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f939,f523,f497]) ).
fof(f1219,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1121,f458,f432]) ).
fof(f1220,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1122,f328,f432]) ).
fof(f1221,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1204,f448,f344]) ).
fof(f1223,plain,
( ~ spl0_61
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f945,f523,f419]) ).
fof(f1225,plain,
( e1 != op(e3,e3)
| ~ spl0_79
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f614,f661]) ).
fof(f1228,plain,
( e2 != op(e3,e3)
| ~ spl0_79
| spl0_97 ),
inference(backward_demodulation,[status(thm)],[f614,f688]) ).
fof(f1229,plain,
( ~ spl0_62
| ~ spl0_79
| spl0_97 ),
inference(split_clause,[status(thm)],[f1228,f526,f613,f686]) ).
fof(f1230,plain,
( e0 != op(e3,e3)
| ~ spl0_79
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f614,f628]) ).
fof(f1231,plain,
( ~ spl0_60
| ~ spl0_79
| spl0_81 ),
inference(split_clause,[status(thm)],[f1230,f520,f613,f626]) ).
fof(f1235,plain,
( e3 != op(e2,e0)
| ~ spl0_40
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f456,f638]) ).
fof(f1237,plain,
( e1 != op(e2,e0)
| ~ spl0_40
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f456,f653]) ).
fof(f1241,plain,
( op(e2,e0) = e2
| ~ spl0_40
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f456,f598]) ).
fof(f1241_001,plain,
( op(e2,e0) = e2
| ~ spl0_40
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f456,f598]) ).
fof(f1244,plain,
( e2 != op(e2,e1)
| ~ spl0_40
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f1241,f114]) ).
fof(f1245,plain,
( e2 != op(e3,e0)
| ~ spl0_40
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f1241,f83]) ).
fof(f1246,plain,
( e2 != op(e2,e3)
| ~ spl0_40
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f1241,f116]) ).
fof(f1247,plain,
( ~ spl0_46
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1246,f474,f455,f597]) ).
fof(f1248,plain,
( op(e0,e0) != e2
| ~ spl0_40
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f1241,f79]) ).
fof(f1249,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1248,f331,f455,f597]) ).
fof(f1250,plain,
( op(e2,e0) != e2
| ~ spl0_40
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f456,f599]) ).
fof(f1265,plain,
( op(e3,e2) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f527,f125]) ).
fof(f1266,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1265,f513,f526]) ).
fof(f1267,plain,
( op(e2,e3) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f527,f101]) ).
fof(f1268,plain,
( ~ spl0_46
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1267,f474,f526]) ).
fof(f1269,plain,
( ~ spl0_33
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1018,f432,f471]) ).
fof(f1270,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1123,f380,f432]) ).
fof(f1272,plain,
( ~ spl0_9
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1046,f354,f510]) ).
fof(f1273,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1191,f399,f386]) ).
fof(f1274,plain,
( ~ spl0_11
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f900,f360,f516]) ).
fof(f1275,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f877,f503,f516]) ).
fof(f1276,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1070,f351,f507]) ).
fof(f1278,plain,
( ~ spl0_36
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f873,f442,f429]) ).
fof(f1280,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f932,f325,f364]) ).
fof(f1281,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_88 ),
inference(split_clause,[status(thm)],[f1237,f432,f455,f651]) ).
fof(f1285,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1157,f334,f347]) ).
fof(f1286,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f991,f383,f422]) ).
fof(f1287,plain,
( ~ spl0_20
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1078,f390,f494]) ).
fof(f1288,plain,
( ~ spl0_50
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1209,f487,f383]) ).
fof(f1290,plain,
( ~ spl0_40
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f872,f455,f429]) ).
fof(f1295,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1136,f455,f403]) ).
fof(f1296,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f885,f373,f477]) ).
fof(f1298,plain,
( ~ spl0_47
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1111,f477,f438]) ).
fof(f1299,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f870,f403,f351]) ).
fof(f1300,plain,
( ~ spl0_60
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1077,f520,f494]) ).
fof(f1303,plain,
( e3 != op(e1,e1)
| ~ spl0_69
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f582,f713]) ).
fof(f1304,plain,
( ~ spl0_23
| ~ spl0_69
| spl0_103 ),
inference(split_clause,[status(thm)],[f1303,f399,f581,f711]) ).
fof(f1306,plain,
( e2 != op(e1,e1)
| ~ spl0_69
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f582,f692]) ).
fof(f1307,plain,
( e0 != op(e1,e1)
| ~ spl0_69
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f582,f646]) ).
fof(f1308,plain,
( ~ spl0_20
| ~ spl0_69
| spl0_86 ),
inference(split_clause,[status(thm)],[f1307,f390,f581,f644]) ).
fof(f1311,plain,
( op(e2,e3) = e2
| ~ spl0_47
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f478,f611]) ).
fof(f1312,plain,
( spl0_46
| ~ spl0_47
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1311,f474,f477,f610]) ).
fof(f1313,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f478,f118]) ).
fof(f1320,plain,
( op(e3,e3) = e3
| ~ spl0_59
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f517,f601]) ).
fof(f1321,plain,
( spl0_63
| ~ spl0_59
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f1320,f529,f516,f600]) ).
fof(f1331,plain,
( op(e0,e0) != e1
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f381,f78]) ).
fof(f1332,plain,
( e1 != op(e1,e2)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f381,f109]) ).
fof(f1333,plain,
( ~ spl0_25
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1332,f406,f380]) ).
fof(f1334,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f886,f461,f448]) ).
fof(f1335,plain,
( e3 = e1
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f517,f511]) ).
fof(f1336,plain,
( $false
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f130]) ).
fof(f1337,plain,
( ~ spl0_59
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1336]) ).
fof(f1338,plain,
( e1 != op(e3,e0)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f381,f82]) ).
fof(f1339,plain,
( ~ spl0_49
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1338,f484,f380]) ).
fof(f1346,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1213,f409,f383]) ).
fof(f1351,plain,
( e3 != op(e3,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f400,f88]) ).
fof(f1352,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1313,f451,f477]) ).
fof(f1361,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1107,f399,f451]) ).
fof(f1362,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f944,f393,f419]) ).
fof(f1363,plain,
( ~ spl0_45
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f958,f471,f419]) ).
fof(f1364,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1331,f328,f380]) ).
fof(f1365,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1009,f331,f487]) ).
fof(f1366,plain,
( ~ spl0_58
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1004,f513,f500]) ).
fof(f1367,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1002,f344,f500]) ).
fof(f1369,plain,
( ~ spl0_53
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1039,f497,f510]) ).
fof(f1370,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f937,f341,f497]) ).
fof(f1376,plain,
( op(e2,e0) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f475,f116]) ).
fof(f1377,plain,
( op(e2,e2) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f475,f119]) ).
fof(f1378,plain,
( ~ spl0_42
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1377,f461,f474]) ).
fof(f1380,plain,
( e1 != op(e1,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f342,f84]) ).
fof(f1381,plain,
( op(e0,e1) = e0
| ~ spl0_5
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f342,f579]) ).
fof(f1382,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f1381,f338,f341,f578]) ).
fof(f1390,plain,
( e1 != op(e1,e1)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f381,f108]) ).
fof(f1397,plain,
( op(e3,e2) = e3
| ~ spl0_50
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f488,f575]) ).
fof(f1398,plain,
( spl0_59
| ~ spl0_50
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1397,f516,f487,f574]) ).
fof(f1405,plain,
( op(e0,e2) = e0
| ~ spl0_14
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f371,f605]) ).
fof(f1420,plain,
( op(e3,e1) != e3
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f530,f124]) ).
fof(f1426,plain,
( op(e2,e2) = e2
| ~ spl0_38
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f449,f585]) ).
fof(f1427,plain,
( spl0_42
| ~ spl0_38
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f1426,f461,f448,f584]) ).
fof(f1436,plain,
( op(e0,e0) = e0
| ~ spl0_8
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f352,f592]) ).
fof(f1437,plain,
( spl0_0
| ~ spl0_8
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f1436,f325,f351,f591]) ).
fof(f1443,plain,
( op(e3,e0) = e3
| ~ spl0_52
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f495,f588]) ).
fof(f1444,plain,
( spl0_51
| ~ spl0_52
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f1443,f490,f494,f587]) ).
fof(f1445,plain,
( op(e3,e0) != e3
| ~ spl0_52
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f495,f589]) ).
fof(f1453,plain,
( op(e1,e0) = e1
| ~ spl0_28
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f417,f608]) ).
fof(f1460,plain,
( e1 != op(e2,e3)
| ~ spl0_43
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f465,f653]) ).
fof(f1461,plain,
( ~ spl0_45
| ~ spl0_43
| spl0_88 ),
inference(split_clause,[status(thm)],[f1460,f471,f464,f651]) ).
fof(f1467,plain,
( e0 != op(e2,e3)
| ~ spl0_43
| spl0_95 ),
inference(backward_demodulation,[status(thm)],[f465,f680]) ).
fof(f1469,plain,
( e1 != op(op(e2,e3),e2)
| ~ spl0_43
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f465,f665]) ).
fof(f1483,plain,
( e2 != op(op(e1,e3),e1)
| ~ spl0_23
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f400,f692]) ).
fof(f1484,plain,
( e2 != op(e0,e1)
| ~ spl0_28
| ~ spl0_23
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f417,f1483]) ).
fof(f1486,plain,
( e0 != op(e1,e3)
| ~ spl0_23
| spl0_100 ),
inference(backward_demodulation,[status(thm)],[f400,f701]) ).
fof(f1487,plain,
( ~ spl0_28
| ~ spl0_23
| spl0_100 ),
inference(split_clause,[status(thm)],[f1486,f416,f399,f699]) ).
fof(f1488,plain,
( e2 != op(e1,e3)
| ~ spl0_23
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f400,f657]) ).
fof(f1502,plain,
( e2 != op(e0,e3)
| ~ spl0_3
| spl0_96 ),
inference(backward_demodulation,[status(thm)],[f335,f684]) ).
fof(f1503,plain,
( ~ spl0_14
| ~ spl0_3
| spl0_96 ),
inference(split_clause,[status(thm)],[f1502,f370,f334,f682]) ).
fof(f1507,plain,
( e1 != op(e0,e3)
| ~ spl0_3
| spl0_101 ),
inference(backward_demodulation,[status(thm)],[f335,f705]) ).
fof(f1512,plain,
( e1 != op(op(e0,e3),e0)
| ~ spl0_3
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f335,f673]) ).
fof(f1513,plain,
( e1 != op(e2,e0)
| ~ spl0_14
| ~ spl0_3
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f371,f1512]) ).
fof(f1515,plain,
( e2 = op(e0,e3)
| ~ spl0_3
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f335,f683]) ).
fof(f1520,plain,
( op(e1,e2) = e1
| ~ spl0_26
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f410,f595]) ).
fof(f1521,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1520,f406,f409,f594]) ).
fof(f1522,plain,
( op(e2,e3) = e2
| ~ spl0_43
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f465,f598]) ).
fof(f1522_002,plain,
( op(e2,e3) = e2
| ~ spl0_43
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f465,f598]) ).
fof(f1523,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_43
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f472,f1522]) ).
fof(f1524,plain,
( $false
| ~ spl0_45
| ~ spl0_43
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f129]) ).
fof(f1525,plain,
( ~ spl0_45
| ~ spl0_43
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1529,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f371,f374]) ).
fof(f1530,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f131]) ).
fof(f1531,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1533,plain,
( e2 != op(e3,e2)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f410,f94]) ).
fof(f1587,plain,
( op(e0,e2) != e1
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f459,f91]) ).
fof(f1588,plain,
( e2 != op(e3,e1)
| ~ spl0_61
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f524,f631]) ).
fof(f1589,plain,
( ~ spl0_54
| ~ spl0_61
| spl0_82 ),
inference(split_clause,[status(thm)],[f1588,f500,f523,f629]) ).
fof(f1595,plain,
( e0 != op(e3,e1)
| ~ spl0_61
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f524,f669]) ).
fof(f1599,plain,
( e2 != op(op(e3,e1),e3)
| ~ spl0_61
| spl0_97 ),
inference(backward_demodulation,[status(thm)],[f524,f688]) ).
fof(f1603,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f940,f393,f497]) ).
fof(f1604,plain,
( op(e2,e1) != e1
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f459,f117]) ).
fof(f1615,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1034,f328,f367]) ).
fof(f1619,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1101,f334,f360]) ).
fof(f1620,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1102,f412,f360]) ).
fof(f1626,plain,
( e3 = e1
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f478,f472]) ).
fof(f1627,plain,
( $false
| ~ spl0_47
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f130]) ).
fof(f1628,plain,
( ~ spl0_47
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1380,f393,f341]) ).
fof(f1631,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1108,f464,f451]) ).
fof(f1634,plain,
( ~ spl0_52
| ~ spl0_61
| spl0_92 ),
inference(split_clause,[status(thm)],[f1595,f494,f523,f667]) ).
fof(f1635,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f971,f386,f490]) ).
fof(f1636,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f890,f396,f409]) ).
fof(f1637,plain,
( ~ spl0_58
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1533,f513,f409]) ).
fof(f1654,plain,
( op(e2,e0) = e2
| ~ spl0_32
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f430,f572]) ).
fof(f1655,plain,
( spl0_34
| ~ spl0_32
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1654,f435,f429,f571]) ).
fof(f1661,plain,
( e3 != op(e2,e1)
| ~ spl0_41
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f459,f638]) ).
fof(f1662,plain,
( e1 != op(op(e2,e1),e2)
| ~ spl0_41
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f459,f665]) ).
fof(f1693,plain,
( op(e1,e1) = e1
| ~ spl0_29
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f420,f608]) ).
fof(f1694,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f1693,f393,f419,f607]) ).
fof(f1701,plain,
( e2 != op(e2,e3)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f449,f118]) ).
fof(f1707,plain,
( op(e2,e1) = e2
| ~ spl0_41
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f459,f598]) ).
fof(f1751,plain,
( e3 != op(e0,e1)
| ~ spl0_1
| spl0_94 ),
inference(backward_demodulation,[status(thm)],[f329,f676]) ).
fof(f1752,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_94 ),
inference(split_clause,[status(thm)],[f1751,f347,f328,f674]) ).
fof(f1754,plain,
( e3 = op(e0,e1)
| ~ spl0_1
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f329,f675]) ).
fof(f1757,plain,
( e3 != op(op(e1,e0),e1)
| ~ spl0_20
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f391,f713]) ).
fof(f1761,plain,
( e3 != op(e1,e0)
| ~ spl0_20
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f391,f649]) ).
fof(f1762,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_87 ),
inference(split_clause,[status(thm)],[f1761,f386,f390,f647]) ).
fof(f1763,plain,
( e2 != op(e1,e0)
| ~ spl0_20
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f391,f657]) ).
fof(f1765,plain,
( e2 != op(op(e1,e0),e1)
| ~ spl0_20
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f391,f692]) ).
fof(f1766,plain,
( e2 != op(e3,e1)
| ~ spl0_19
| ~ spl0_20
| spl0_98 ),
inference(forward_demodulation,[status(thm)],[f387,f1765]) ).
fof(f1768,plain,
( op(e1,e0) != e1
| ~ spl0_20
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f391,f583]) ).
fof(f1770,plain,
( e3 = op(e1,e0)
| ~ spl0_20
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f391,f648]) ).
fof(f1771,plain,
( e2 != op(e3,e0)
| ~ spl0_60
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f521,f631]) ).
fof(f1772,plain,
( ~ spl0_50
| ~ spl0_60
| spl0_82 ),
inference(split_clause,[status(thm)],[f1771,f487,f520,f629]) ).
fof(f1776,plain,
( e1 != op(e3,e0)
| ~ spl0_60
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f521,f642]) ).
fof(f1804,plain,
( op(e0,e3) = e0
| ~ spl0_7
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f348,f579]) ).
fof(f1804_003,plain,
( op(e0,e3) = e0
| ~ spl0_7
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f348,f579]) ).
fof(f1805,plain,
( e2 = e0
| ~ spl0_14
| ~ spl0_7
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f371,f1804]) ).
fof(f1806,plain,
( $false
| ~ spl0_14
| ~ spl0_7
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1805,f127]) ).
fof(f1807,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1806]) ).
fof(f1808,plain,
( op(e0,e3) != e0
| ~ spl0_7
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f348,f580]) ).
fof(f1810,plain,
( op(e1,e0) = e1
| ~ spl0_20
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f391,f582]) ).
fof(f1811,plain,
( e3 = e1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f387,f1810]) ).
fof(f1812,plain,
( $false
| ~ spl0_19
| ~ spl0_20
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f130]) ).
fof(f1813,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1827,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f1405,f351,f370,f604]) ).
fof(f1839,plain,
( e2 != op(e2,e2)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f410,f93]) ).
fof(f1852,plain,
( ~ spl0_33
| ~ spl0_14
| ~ spl0_3
| spl0_93 ),
inference(split_clause,[status(thm)],[f1513,f432,f370,f334,f671]) ).
fof(f1857,plain,
( spl0_34
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1241,f435,f455,f597]) ).
fof(f1858,plain,
( ~ spl0_38
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1244,f448,f455,f597]) ).
fof(f1859,plain,
( ~ spl0_50
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1245,f487,f455,f597]) ).
fof(f1871,plain,
( e1 != op(e2,e2)
| ~ spl0_38
| ~ spl0_41
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f449,f1662]) ).
fof(f1875,plain,
( op(e3,e1) = e3
| ~ spl0_53
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f498,f588]) ).
fof(f1876,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f498,f1875]) ).
fof(f1877,plain,
( $false
| ~ spl0_53
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1876,f130]) ).
fof(f1878,plain,
( ~ spl0_53
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1877]) ).
fof(f1882,plain,
( op(e3,e0) != e3
| ~ spl0_60
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f521,f615]) ).
fof(f1884,plain,
( op(e1,e2) != e3
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f517,f94]) ).
fof(f1885,plain,
( ~ spl0_30
| ~ spl0_23
| spl0_89 ),
inference(split_clause,[status(thm)],[f1488,f422,f399,f655]) ).
fof(f1886,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f478,f99]) ).
fof(f1888,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_101 ),
inference(split_clause,[status(thm)],[f1507,f367,f334,f703]) ).
fof(f1903,plain,
( e0 != op(e1,e2)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f378,f109]) ).
fof(f1905,plain,
( op(e1,e0) = e1
| ~ spl0_16
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f378,f569]) ).
fof(f1906,plain,
( spl0_17
| ~ spl0_16
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1905,f380,f377,f568]) ).
fof(f1927,plain,
( op(e0,e0) = e0
| ~ spl0_4
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f339,f579]) ).
fof(f1928,plain,
( $false
| spl0_0
| ~ spl0_4
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1927,f327]) ).
fof(f1929,plain,
( spl0_0
| ~ spl0_4
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1931,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f901,f357,f409]) ).
fof(f1934,plain,
( ~ spl0_17
| ~ spl0_20
| spl0_69 ),
inference(split_clause,[status(thm)],[f1768,f380,f390,f581]) ).
fof(f1942,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1884,f412,f516]) ).
fof(f1952,plain,
( ~ spl0_41
| ~ spl0_38
| spl0_91 ),
inference(split_clause,[status(thm)],[f1871,f458,f448,f663]) ).
fof(f1959,plain,
( op(e0,e0) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f358,f103]) ).
fof(f1965,plain,
( op(e0,e2) = e0
| ~ spl0_10
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f358,f592]) ).
fof(f1966,plain,
( e2 = e0
| ~ spl0_10
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f358,f1965]) ).
fof(f1967,plain,
( $false
| ~ spl0_10
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1966,f127]) ).
fof(f1968,plain,
( ~ spl0_10
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1967]) ).
fof(f1970,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f989,f396,f422]) ).
fof(f1973,plain,
( ~ spl0_51
| ~ spl0_60
| spl0_79 ),
inference(split_clause,[status(thm)],[f1882,f490,f520,f613]) ).
fof(f1974,plain,
( ~ spl0_49
| ~ spl0_60
| spl0_85 ),
inference(split_clause,[status(thm)],[f1776,f484,f520,f640]) ).
fof(f1975,plain,
( ~ spl0_34
| ~ spl0_40
| spl0_74 ),
inference(split_clause,[status(thm)],[f1250,f435,f455,f597]) ).
fof(f1976,plain,
( ~ spl0_22
| ~ spl0_69
| spl0_98 ),
inference(split_clause,[status(thm)],[f1306,f396,f581,f690]) ).
fof(f1979,plain,
( op(e0,e3) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f420,f96]) ).
fof(f1981,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1198,f331,f344]) ).
fof(f1982,plain,
( ~ spl0_22
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1199,f396,f344]) ).
fof(f1983,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1032,f471,f367]) ).
fof(f1984,plain,
( ~ spl0_62
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1000,f526,f500]) ).
fof(f1991,plain,
( ~ spl0_21
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1390,f393,f380]) ).
fof(f1997,plain,
( e0 != op(e0,e3)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f352,f107]) ).
fof(f2000,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1155,f373,f347]) ).
fof(f2001,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1839,f461,f409]) ).
fof(f2004,plain,
( ~ spl0_51
| ~ spl0_52
| spl0_71 ),
inference(split_clause,[status(thm)],[f1445,f490,f494,f587]) ).
fof(f2006,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1420,f503,f529]) ).
fof(f2008,plain,
( spl0_46
| ~ spl0_43
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1522,f474,f464,f597]) ).
fof(f2009,plain,
( ~ spl0_44
| ~ spl0_43
| spl0_95 ),
inference(split_clause,[status(thm)],[f1467,f468,f464,f678]) ).
fof(f2010,plain,
( ~ spl0_55
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1351,f503,f399]) ).
fof(f2012,plain,
( e0 != op(e2,e1)
| ~ spl0_41
| spl0_95 ),
inference(backward_demodulation,[status(thm)],[f459,f680]) ).
fof(f2013,plain,
( ~ spl0_36
| ~ spl0_41
| spl0_95 ),
inference(split_clause,[status(thm)],[f2012,f442,f458,f678]) ).
fof(f2014,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1886,f425,f477]) ).
fof(f2022,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1587,f354,f458]) ).
fof(f2023,plain,
( spl0_38
| ~ spl0_41
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1707,f448,f458,f597]) ).
fof(f2024,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1604,f445,f458]) ).
fof(f2032,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1376,f435,f474]) ).
fof(f2033,plain,
( ~ spl0_61
| ~ spl0_79
| spl0_90 ),
inference(split_clause,[status(thm)],[f1225,f523,f613,f659]) ).
fof(f2042,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_101 ),
inference(backward_demodulation,[status(thm)],[f332,f705]) ).
fof(f2043,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_101 ),
inference(split_clause,[status(thm)],[f2042,f354,f331,f703]) ).
fof(f2047,plain,
( e1 = op(e0,e2)
| ~ spl0_2
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f332,f704]) ).
fof(f2057,plain,
( e0 != op(e1,e2)
| ~ spl0_22
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f397,f701]) ).
fof(f2059,plain,
( e3 != op(e1,e2)
| ~ spl0_22
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f397,f649]) ).
fof(f2060,plain,
( e3 != e3
| ~ spl0_27
| ~ spl0_22
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f413,f2059]) ).
fof(f2061,plain,
( $false
| ~ spl0_27
| ~ spl0_22
| spl0_87 ),
inference(trivial_equality_resolution,[status(esa)],[f2060]) ).
fof(f2062,plain,
( ~ spl0_27
| ~ spl0_22
| spl0_87 ),
inference(contradiction_clause,[status(thm)],[f2061]) ).
fof(f2065,plain,
( op(e0,e1) != e0
| ~ spl0_9
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f355,f593]) ).
fof(f2066,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_72 ),
inference(split_clause,[status(thm)],[f2065,f338,f354,f591]) ).
fof(f2070,plain,
( op(e0,e1) = e0
| ~ spl0_9
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f355,f592]) ).
fof(f2104,plain,
( e1 != op(e2,e3)
| ~ spl0_82
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f630,f661]) ).
fof(f2105,plain,
( ~ spl0_45
| ~ spl0_82
| spl0_90 ),
inference(split_clause,[status(thm)],[f2104,f471,f629,f659]) ).
fof(f2107,plain,
( op(e1,e3) = e1
| ~ spl0_27
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f413,f595]) ).
fof(f2108,plain,
( $false
| spl0_29
| ~ spl0_27
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f2107,f421]) ).
fof(f2109,plain,
( spl0_29
| ~ spl0_27
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f2108]) ).
fof(f2110,plain,
( ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f969,f529,f490]) ).
fof(f2130,plain,
( e1 != op(e0,e0)
| ~ spl0_64
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f566,f673]) ).
fof(f2131,plain,
( ~ spl0_1
| ~ spl0_64
| spl0_93 ),
inference(split_clause,[status(thm)],[f2130,f328,f565,f671]) ).
fof(f2132,plain,
( e2 != op(e0,e1)
| ~ spl0_1
| spl0_96 ),
inference(backward_demodulation,[status(thm)],[f329,f684]) ).
fof(f2133,plain,
( ~ spl0_6
| ~ spl0_1
| spl0_96 ),
inference(split_clause,[status(thm)],[f2132,f344,f328,f682]) ).
fof(f2139,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f1515,f370,f334,f682]) ).
fof(f2143,plain,
( e2 != op(e2,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f358,f91]) ).
fof(f2164,plain,
( op(e2,e0) = e2
| ~ spl0_36
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f443,f585]) ).
fof(f2202,plain,
( e0 != op(e2,e1)
| ~ spl0_89
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f656,f646]) ).
fof(f2203,plain,
( ~ spl0_36
| ~ spl0_89
| spl0_86 ),
inference(split_clause,[status(thm)],[f2202,f442,f655,f644]) ).
fof(f2205,plain,
( e2 != op(e2,e1)
| ~ spl0_89
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f656,f692]) ).
fof(f2212,plain,
( ~ spl0_12
| ~ spl0_7
| spl0_68 ),
inference(split_clause,[status(thm)],[f1808,f364,f347,f578]) ).
fof(f2219,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f404,f407]) ).
fof(f2220,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f126]) ).
fof(f2221,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2313,plain,
( e0 = op(e3,e1)
| ~ spl0_61
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f524,f668]) ).
fof(f2317,plain,
( e2 != op(e0,e3)
| ~ spl0_92
| ~ spl0_61
| spl0_97 ),
inference(backward_demodulation,[status(thm)],[f2313,f1599]) ).
fof(f2318,plain,
( ~ spl0_14
| ~ spl0_92
| ~ spl0_61
| spl0_97 ),
inference(split_clause,[status(thm)],[f2317,f370,f667,f523,f686]) ).
fof(f2329,plain,
( e0 != op(e2,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f365,f97]) ).
fof(f2330,plain,
( ~ spl0_44
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2329,f468,f364]) ).
fof(f2332,plain,
( $false
| ~ spl0_8
| ~ spl0_7
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1804,f1997]) ).
fof(f2333,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2332]) ).
fof(f2335,plain,
( ~ spl0_37
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f938,f445,f497]) ).
fof(f2339,plain,
( op(e0,e0) != e2
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f436,f79]) ).
fof(f2355,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_94 ),
inference(forward_demodulation,[status(thm)],[f332,f676]) ).
fof(f2356,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_94 ),
inference(split_clause,[status(thm)],[f2355,f360,f331,f674]) ).
fof(f2383,plain,
( e0 != op(op(e3,e2),e3)
| ~ spl0_62
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f527,f628]) ).
fof(f2397,plain,
( e1 != op(e3,e2)
| ~ spl0_62
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f527,f642]) ).
fof(f2398,plain,
( e0 != op(e3,e2)
| ~ spl0_62
| spl0_92 ),
inference(forward_demodulation,[status(thm)],[f527,f669]) ).
fof(f2404,plain,
( e3 != op(e3,e1)
| ~ spl0_87
| ~ spl0_20
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f1770,f1757]) ).
fof(f2405,plain,
( ~ spl0_55
| ~ spl0_87
| ~ spl0_20
| spl0_103 ),
inference(split_clause,[status(thm)],[f2404,f503,f647,f390,f711]) ).
fof(f2406,plain,
( e3 != op(e2,e0)
| ~ spl0_20
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1770,f81]) ).
fof(f2407,plain,
( ~ spl0_35
| ~ spl0_20
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f2406,f438,f390,f647]) ).
fof(f2408,plain,
( e3 != op(e1,e3)
| ~ spl0_20
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1770,f110]) ).
fof(f2409,plain,
( ~ spl0_31
| ~ spl0_20
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f2408,f425,f390,f647]) ).
fof(f2410,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2143,f461,f357]) ).
fof(f2412,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1959,f331,f357]) ).
fof(f2420,plain,
( op(e2,e0) != e2
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f462,f115]) ).
fof(f2421,plain,
( ~ spl0_34
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2420,f435,f461]) ).
fof(f2425,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2339,f331,f435]) ).
fof(f2431,plain,
( ~ spl0_24
| ~ spl0_22
| spl0_100 ),
inference(split_clause,[status(thm)],[f2057,f403,f396,f699]) ).
fof(f2445,plain,
( $false
| ~ spl0_62
| spl0_92
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f2398]) ).
fof(f2446,plain,
( ~ spl0_62
| spl0_92
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f2445]) ).
fof(f2451,plain,
( ~ spl0_57
| ~ spl0_62
| spl0_85 ),
inference(split_clause,[status(thm)],[f2397,f510,f526,f640]) ).
fof(f2458,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2047,f354,f331,f703]) ).
fof(f2479,plain,
( op(e1,e2) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f426,f113]) ).
fof(f2487,plain,
( e2 != op(e2,e2)
| ~ spl0_36
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f2164,f115]) ).
fof(f2488,plain,
( ~ spl0_42
| ~ spl0_36
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f2487,f461,f442,f584]) ).
fof(f2489,plain,
( op(e0,e0) != e2
| ~ spl0_36
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f2164,f79]) ).
fof(f2490,plain,
( ~ spl0_2
| ~ spl0_36
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f2489,f331,f442,f584]) ).
fof(f2491,plain,
( op(e2,e0) != e2
| ~ spl0_36
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f443,f586]) ).
fof(f2492,plain,
( op(e1,e2) = e1
| ~ spl0_22
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f397,f582]) ).
fof(f2493,plain,
( $false
| spl0_25
| ~ spl0_22
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f2492,f408]) ).
fof(f2494,plain,
( spl0_25
| ~ spl0_22
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2505,plain,
( e0 != op(e1,e3)
| ~ spl0_57
| ~ spl0_62
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f511,f2383]) ).
fof(f2551,plain,
( e3 != op(e1,e2)
| ~ spl0_88
| spl0_102 ),
inference(backward_demodulation,[status(thm)],[f652,f709]) ).
fof(f2553,plain,
( e0 != op(e1,e2)
| ~ spl0_88
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f652,f635]) ).
fof(f2554,plain,
( ~ spl0_24
| ~ spl0_88
| spl0_83 ),
inference(split_clause,[status(thm)],[f2553,f403,f651,f633]) ).
fof(f2555,plain,
( op(e3,e3) = e3
| ~ spl0_55
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f504,f588]) ).
fof(f2561,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f342,f345]) ).
fof(f2562,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2561,f129]) ).
fof(f2563,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2562]) ).
fof(f2566,plain,
( op(e3,e1) = e3
| ~ spl0_57
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f511,f601]) ).
fof(f2568,plain,
( ~ spl0_28
| ~ spl0_57
| ~ spl0_62
| spl0_81 ),
inference(split_clause,[status(thm)],[f2505,f416,f510,f526,f626]) ).
fof(f2583,plain,
( op(e1,e3) != e1
| ~ spl0_27
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f413,f596]) ).
fof(f2586,plain,
( spl0_17
| ~ spl0_28
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f1453,f380,f416,f607]) ).
fof(f2591,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1754,f347,f328,f674]) ).
fof(f2593,plain,
( e0 != op(e2,e3)
| ~ spl0_82
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f630,f628]) ).
fof(f2597,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_84 ),
inference(split_clause,[status(thm)],[f1661,f451,f458,f636]) ).
fof(f2604,plain,
( e1 != op(e1,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f394,f111]) ).
fof(f2658,plain,
( op(e0,e1) != e0
| ~ spl0_1
| spl0_64 ),
inference(backward_demodulation,[status(thm)],[f329,f567]) ).
fof(f2659,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_64 ),
inference(split_clause,[status(thm)],[f2658,f338,f328,f565]) ).
fof(f2662,plain,
( op(e0,e1) = e0
| ~ spl0_1
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f329,f566]) ).
fof(f2687,plain,
( op(e1,e0) != e1
| ~ spl0_28
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f417,f609]) ).
fof(f2712,plain,
( op(e2,e3) = e2
| ~ spl0_39
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f452,f585]) ).
fof(f2721,plain,
( op(e2,e1) != e2
| ~ spl0_41
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f459,f599]) ).
fof(f2738,plain,
( op(e3,e0) = e3
| ~ spl0_56
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f508,f601]) ).
fof(f2750,plain,
( op(e3,e1) != e3
| ~ spl0_61
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f524,f615]) ).
fof(f2754,plain,
( e0 != op(op(e3,e1),e3)
| ~ spl0_61
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f524,f628]) ).
fof(f2755,plain,
( e0 != op(e2,e3)
| ~ spl0_54
| ~ spl0_61
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f501,f2754]) ).
fof(f2776,plain,
( op(e0,e3) = e0
| ~ spl0_15
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f374,f605]) ).
fof(f2777,plain,
( e3 = e0
| ~ spl0_15
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f374,f2776]) ).
fof(f2778,plain,
( $false
| ~ spl0_15
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f2777,f128]) ).
fof(f2779,plain,
( ~ spl0_15
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f2778]) ).
fof(f2786,plain,
( op(e3,e1) = e3
| ~ spl0_61
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f524,f614]) ).
fof(f2786_004,plain,
( op(e3,e1) = e3
| ~ spl0_61
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f524,f614]) ).
fof(f2787,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_61
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f501,f2786]) ).
fof(f2788,plain,
( $false
| ~ spl0_54
| ~ spl0_61
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2787,f131]) ).
fof(f2789,plain,
( ~ spl0_54
| ~ spl0_61
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2792,plain,
( op(e3,e2) = e3
| ~ spl0_54
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f501,f588]) ).
fof(f2792_005,plain,
( op(e3,e2) = e3
| ~ spl0_54
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f501,f588]) ).
fof(f2793,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_54
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f508,f2792]) ).
fof(f2794,plain,
( $false
| ~ spl0_56
| ~ spl0_54
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f2793,f128]) ).
fof(f2795,plain,
( ~ spl0_56
| ~ spl0_54
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2794]) ).
fof(f2796,plain,
( op(e2,e3) != e2
| ~ spl0_39
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f452,f586]) ).
fof(f2799,plain,
( e0 != op(op(e2,e1),e2)
| ~ spl0_41
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f459,f635]) ).
fof(f2800,plain,
( e0 != op(e3,e2)
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f452,f2799]) ).
fof(f2801,plain,
( e0 != e0
| ~ spl0_56
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f508,f2800]) ).
fof(f2802,plain,
( $false
| ~ spl0_56
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(trivial_equality_resolution,[status(esa)],[f2801]) ).
fof(f2803,plain,
( ~ spl0_56
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2812,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2604,f406,f393]) ).
fof(f2828,plain,
( e1 = e3
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f394,f400]) ).
fof(f2829,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2828,f130]) ).
fof(f2830,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2829]) ).
fof(f2842,plain,
( ~ spl0_38
| ~ spl0_89
| spl0_98 ),
inference(split_clause,[status(thm)],[f2205,f448,f655,f690]) ).
fof(f2864,plain,
( ~ spl0_38
| ~ spl0_41
| spl0_74 ),
inference(split_clause,[status(thm)],[f2721,f448,f458,f597]) ).
fof(f2868,plain,
( e1 = op(e3,e1)
| ~ spl0_61
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f524,f641]) ).
fof(f2871,plain,
( e2 != op(e3,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f358,f92]) ).
fof(f2890,plain,
( op(e2,e0) != e2
| ~ spl0_44
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f469,f612]) ).
fof(f2891,plain,
( ~ spl0_34
| ~ spl0_44
| spl0_78 ),
inference(split_clause,[status(thm)],[f2890,f435,f468,f610]) ).
fof(f2896,plain,
( op(e2,e0) = e2
| ~ spl0_44
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f469,f611]) ).
fof(f2914,plain,
( e0 = op(e0,e2)
| ~ spl0_95
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f679,f634]) ).
fof(f2915,plain,
( spl0_8
| ~ spl0_95
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f2914,f351,f678,f633]) ).
fof(f2928,plain,
( op(e1,e1) = e1
| ~ spl0_22
| ~ spl0_69
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f2492,f595]) ).
fof(f2929,plain,
( spl0_21
| ~ spl0_22
| ~ spl0_69
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f2928,f393,f396,f581,f594]) ).
fof(f2938,plain,
( op(e2,e1) = e2
| ~ spl0_37
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f446,f585]) ).
fof(f2939,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f446,f2938]) ).
fof(f2940,plain,
( $false
| ~ spl0_37
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f2939,f129]) ).
fof(f2941,plain,
( ~ spl0_37
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f2940]) ).
fof(f2948,plain,
( op(e1,e3) = e1
| ~ spl0_31
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f426,f608]) ).
fof(f2949,plain,
( e3 = e1
| ~ spl0_31
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f426,f2948]) ).
fof(f2950,plain,
( $false
| ~ spl0_31
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f2949,f130]) ).
fof(f2951,plain,
( ~ spl0_31
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f2950]) ).
fof(f2969,plain,
( ~ spl0_35
| ~ spl0_40
| spl0_84 ),
inference(split_clause,[status(thm)],[f1235,f438,f455,f636]) ).
fof(f3039,plain,
( e3 != op(e3,e0)
| ~ spl0_94
| spl0_104 ),
inference(forward_demodulation,[status(thm)],[f675,f718]) ).
fof(f3068,plain,
( op(e1,e0) = e1
| ~ spl0_20
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f391,f582]) ).
fof(f3090,plain,
( e1 != op(op(e2,e0),e2)
| ~ spl0_40
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f456,f665]) ).
fof(f3091,plain,
( e1 != op(e3,e2)
| ~ spl0_35
| ~ spl0_40
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f439,f3090]) ).
fof(f3092,plain,
( e1 != e1
| ~ spl0_57
| ~ spl0_35
| ~ spl0_40
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f511,f3091]) ).
fof(f3093,plain,
( $false
| ~ spl0_57
| ~ spl0_35
| ~ spl0_40
| spl0_91 ),
inference(trivial_equality_resolution,[status(esa)],[f3092]) ).
fof(f3094,plain,
( ~ spl0_57
| ~ spl0_35
| ~ spl0_40
| spl0_91 ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3102,plain,
( ~ spl0_51
| ~ spl0_94
| spl0_104 ),
inference(split_clause,[status(thm)],[f3039,f490,f674,f716]) ).
fof(f3147,plain,
( spl0_55
| ~ spl0_57
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2566,f503,f510,f600]) ).
fof(f3156,plain,
( e1 != op(op(e0,e2),e0)
| ~ spl0_2
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f332,f673]) ).
fof(f3157,plain,
( op(e0,e3) = e0
| ~ spl0_11
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f361,f592]) ).
fof(f3158,plain,
( op(e0,e0) = e0
| ~ spl0_12
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f365,f605]) ).
fof(f3158_006,plain,
( op(e0,e0) = e0
| ~ spl0_12
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f365,f605]) ).
fof(f3159,plain,
( e2 = e0
| ~ spl0_2
| ~ spl0_12
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f332,f3158]) ).
fof(f3160,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f3159,f127]) ).
fof(f3161,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f3160]) ).
fof(f3164,plain,
( op(e3,e2) = e3
| ~ spl0_62
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f527,f614]) ).
fof(f3164_007,plain,
( op(e3,e2) = e3
| ~ spl0_62
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f527,f614]) ).
fof(f3165,plain,
( e1 = e3
| ~ spl0_57
| ~ spl0_62
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f511,f3164]) ).
fof(f3166,plain,
( $false
| ~ spl0_57
| ~ spl0_62
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f3165,f130]) ).
fof(f3167,plain,
( ~ spl0_57
| ~ spl0_62
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f3166]) ).
fof(f3168,plain,
( op(e2,e1) = e2
| ~ spl0_45
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f472,f611]) ).
fof(f3200,plain,
( e3 = op(e2,e2)
| ~ spl0_42
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f462,f637]) ).
fof(f3201,plain,
( spl0_43
| ~ spl0_42
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f3200,f464,f461,f636]) ).
fof(f3214,plain,
( op(e1,e0) != e1
| ~ spl0_24
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f404,f596]) ).
fof(f3215,plain,
( ~ spl0_17
| ~ spl0_24
| spl0_73 ),
inference(split_clause,[status(thm)],[f3214,f380,f403,f594]) ).
fof(f3219,plain,
( op(e1,e0) = e1
| ~ spl0_24
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f404,f595]) ).
fof(f3220,plain,
( op(e2,e2) != e2
| ~ spl0_42
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f462,f599]) ).
fof(f3221,plain,
( e2 != e2
| ~ spl0_42
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f462,f3220]) ).
fof(f3222,plain,
( $false
| ~ spl0_42
| spl0_74 ),
inference(trivial_equality_resolution,[status(esa)],[f3221]) ).
fof(f3223,plain,
( ~ spl0_42
| spl0_74 ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3224,plain,
( e1 = op(e0,e2)
| ~ spl0_2
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f332,f704]) ).
fof(f3225,plain,
( ~ spl0_44
| ~ spl0_82
| spl0_81 ),
inference(split_clause,[status(thm)],[f2593,f468,f629,f626]) ).
fof(f3226,plain,
( op(e0,e1) != e3
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f452,f85]) ).
fof(f3236,plain,
( spl0_34
| ~ spl0_44
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2896,f435,f468,f610]) ).
fof(f3260,plain,
( ~ spl0_44
| ~ spl0_54
| ~ spl0_61
| spl0_81 ),
inference(split_clause,[status(thm)],[f2755,f468,f500,f523,f626]) ).
fof(f3272,plain,
( spl0_53
| ~ spl0_61
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f2868,f497,f523,f640]) ).
fof(f3276,plain,
( ~ spl0_29
| ~ spl0_27
| spl0_73 ),
inference(split_clause,[status(thm)],[f2583,f419,f412,f594]) ).
fof(f3279,plain,
( spl0_59
| ~ spl0_62
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f3164,f516,f526,f613]) ).
fof(f3282,plain,
( spl0_46
| ~ spl0_39
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f2712,f474,f451,f584]) ).
fof(f3285,plain,
( e2 != op(e3,e3)
| ~ spl0_39
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f2712,f101]) ).
fof(f3286,plain,
( ~ spl0_62
| ~ spl0_39
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f3285,f526,f451,f584]) ).
fof(f3300,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_89 ),
inference(split_clause,[status(thm)],[f1763,f383,f390,f655]) ).
fof(f3313,plain,
( e1 != op(e3,e0)
| ~ spl0_11
| ~ spl0_2
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f361,f3156]) ).
fof(f3314,plain,
( ~ spl0_49
| ~ spl0_11
| ~ spl0_2
| spl0_93 ),
inference(split_clause,[status(thm)],[f3313,f484,f360,f331,f671]) ).
fof(f3315,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f3157,f364,f360,f591]) ).
fof(f3351,plain,
( op(e2,e0) != e1
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f446,f114]) ).
fof(f3379,plain,
( e1 != op(op(e3,e2),e3)
| ~ spl0_62
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f527,f661]) ).
fof(f3380,plain,
( e1 != op(e0,e3)
| ~ spl0_56
| ~ spl0_62
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f508,f3379]) ).
fof(f3381,plain,
( e1 != e1
| ~ spl0_13
| ~ spl0_56
| ~ spl0_62
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f368,f3380]) ).
fof(f3382,plain,
( $false
| ~ spl0_13
| ~ spl0_56
| ~ spl0_62
| spl0_90 ),
inference(trivial_equality_resolution,[status(esa)],[f3381]) ).
fof(f3383,plain,
( ~ spl0_13
| ~ spl0_56
| ~ spl0_62
| spl0_90 ),
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3422,plain,
( spl0_17
| ~ spl0_24
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f3219,f380,f403,f594]) ).
fof(f3455,plain,
( e3 != op(e0,e1)
| ~ spl0_100
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f700,f713]) ).
fof(f3456,plain,
( ~ spl0_7
| ~ spl0_100
| spl0_103 ),
inference(split_clause,[status(thm)],[f3455,f347,f699,f711]) ).
fof(f3458,plain,
( ~ spl0_13
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1979,f367,f419]) ).
fof(f3462,plain,
( ~ spl0_33
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f3351,f432,f445]) ).
fof(f3464,plain,
( spl0_59
| ~ spl0_54
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f2792,f516,f500,f587]) ).
fof(f3465,plain,
( ~ spl0_24
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1903,f403,f377]) ).
fof(f3470,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f420,f423]) ).
fof(f3471,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f3470,f129]) ).
fof(f3472,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f3471]) ).
fof(f3491,plain,
( spl0_63
| ~ spl0_55
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f2555,f529,f503,f587]) ).
fof(f3492,plain,
( ~ spl0_34
| ~ spl0_36
| spl0_70 ),
inference(split_clause,[status(thm)],[f2491,f435,f442,f584]) ).
fof(f3493,plain,
( ~ spl0_55
| ~ spl0_61
| spl0_79 ),
inference(split_clause,[status(thm)],[f2750,f503,f523,f613]) ).
fof(f3494,plain,
( ~ spl0_17
| ~ spl0_28
| spl0_77 ),
inference(split_clause,[status(thm)],[f2687,f380,f416,f607]) ).
fof(f3497,plain,
( ~ spl0_27
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2479,f412,f425]) ).
fof(f3505,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2871,f513,f357]) ).
fof(f3515,plain,
( ~ spl0_46
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1701,f474,f448]) ).
fof(f3522,plain,
( ~ spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f3226,f347,f451]) ).
fof(f3523,plain,
( ~ spl0_46
| ~ spl0_39
| spl0_70 ),
inference(split_clause,[status(thm)],[f2796,f474,f451,f584]) ).
fof(f3530,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f2662,f338,f328,f565]) ).
fof(f3550,plain,
( op(e3,e2) != e3
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f527,f615]) ).
fof(f3574,plain,
( e0 != op(e0,e3)
| ~ spl0_9
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f2070,f106]) ).
fof(f3579,plain,
( e3 = op(e0,e1)
| ~ spl0_100
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f700,f712]) ).
fof(f3580,plain,
( spl0_7
| ~ spl0_100
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f3579,f347,f699,f711]) ).
fof(f3582,plain,
( spl0_12
| ~ spl0_7
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f1804,f364,f347,f578]) ).
fof(f3620,plain,
( op(e0,e1) != e0
| ~ spl0_13
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f368,f606]) ).
fof(f3621,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_76 ),
inference(split_clause,[status(thm)],[f3620,f338,f367,f604]) ).
fof(f3630,plain,
( op(e3,e3) != e3
| ~ spl0_63
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f530,f615]) ).
fof(f3631,plain,
( ~ spl0_63
| spl0_79 ),
inference(split_clause,[status(thm)],[f3630,f529,f613]) ).
fof(f3655,plain,
( op(e1,e2) != e1
| ~ spl0_30
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f423,f609]) ).
fof(f3657,plain,
( e3 = op(e2,e1)
| ~ spl0_89
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f656,f712]) ).
fof(f3658,plain,
( spl0_39
| ~ spl0_89
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f3657,f451,f655,f711]) ).
fof(f3686,plain,
( e1 != op(e0,e2)
| ~ spl0_44
| ~ spl0_43
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f469,f1469]) ).
fof(f3712,plain,
( $false
| ~ spl0_30
| spl0_77
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f3655]) ).
fof(f3713,plain,
( ~ spl0_30
| spl0_77
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f3712]) ).
fof(f3714,plain,
( op(e1,e2) = e1
| ~ spl0_30
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f423,f608]) ).
fof(f3718,plain,
( e2 != op(op(e0,e3),e0)
| ~ spl0_3
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f335,f697]) ).
fof(f3719,plain,
( e2 != op(e1,e0)
| ~ spl0_13
| ~ spl0_3
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f368,f3718]) ).
fof(f3748,plain,
( op(e2,e0) = e2
| ~ spl0_44
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f469,f611]) ).
fof(f3750,plain,
( op(e2,e2) = e2
| ~ spl0_44
| ~ spl0_78
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f3748,f572]) ).
fof(f3751,plain,
( spl0_42
| ~ spl0_44
| ~ spl0_78
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f3750,f461,f468,f610,f571]) ).
fof(f3756,plain,
( op(e0,e3) = e0
| ~ spl0_3
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f335,f566]) ).
fof(f3756_008,plain,
( op(e0,e3) = e0
| ~ spl0_3
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f335,f566]) ).
fof(f3757,plain,
( e1 = e0
| ~ spl0_13
| ~ spl0_3
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f368,f3756]) ).
fof(f3758,plain,
( $false
| ~ spl0_13
| ~ spl0_3
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f3757,f126]) ).
fof(f3759,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( op(e3,e1) = e3
| ~ spl0_49
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f485,f575]) ).
fof(f3761,plain,
( $false
| spl0_55
| ~ spl0_49
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f3760,f505]) ).
fof(f3762,plain,
( spl0_55
| ~ spl0_49
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f3761]) ).
fof(f3764,plain,
( e0 != op(e1,e1)
| ~ spl0_9
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f2070,f84]) ).
fof(f3770,plain,
( ~ spl0_9
| ~ spl0_44
| ~ spl0_43
| spl0_91 ),
inference(split_clause,[status(thm)],[f3686,f354,f468,f464,f663]) ).
fof(f3823,plain,
( spl0_12
| ~ spl0_3
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3756,f364,f334,f565]) ).
fof(f3873,plain,
( ~ spl0_18
| ~ spl0_13
| ~ spl0_3
| spl0_99 ),
inference(split_clause,[status(thm)],[f3719,f383,f367,f334,f695]) ).
fof(f3886,plain,
( ~ spl0_6
| ~ spl0_28
| ~ spl0_23
| spl0_98 ),
inference(split_clause,[status(thm)],[f1484,f344,f416,f399,f690]) ).
fof(f3901,plain,
( spl0_55
| ~ spl0_61
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f2786,f503,f523,f613]) ).
fof(f3965,plain,
( e2 != op(e1,e3)
| ~ spl0_85
| spl0_97 ),
inference(backward_demodulation,[status(thm)],[f641,f688]) ).
fof(f3966,plain,
( ~ spl0_30
| ~ spl0_85
| spl0_97 ),
inference(split_clause,[status(thm)],[f3965,f422,f640,f686]) ).
fof(f3970,plain,
( e1 = e3
| ~ spl0_85
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f641,f614]) ).
fof(f3971,plain,
( $false
| ~ spl0_85
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f3970,f130]) ).
fof(f3972,plain,
( ~ spl0_85
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f3971]) ).
fof(f3975,plain,
( spl0_0
| ~ spl0_12
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f3158,f325,f364,f604]) ).
fof(f3987,plain,
( ~ spl0_59
| ~ spl0_62
| spl0_79 ),
inference(split_clause,[status(thm)],[f3550,f516,f526,f613]) ).
fof(f4011,plain,
( e3 = op(e2,e0)
| ~ spl0_40
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f456,f637]) ).
fof(f4012,plain,
( op(e2,e3) = e2
| ~ spl0_40
| ~ spl0_84
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f4011,f572]) ).
fof(f4013,plain,
( spl0_46
| ~ spl0_40
| ~ spl0_84
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f4012,f474,f455,f636,f571]) ).
fof(f4024,plain,
( op(e1,e1) = e1
| ~ spl0_25
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f407,f595]) ).
fof(f4025,plain,
( $false
| spl0_21
| ~ spl0_25
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f4024,f395]) ).
fof(f4026,plain,
( spl0_21
| ~ spl0_25
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f4025]) ).
fof(f4027,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2070,f338,f354,f591]) ).
fof(f4028,plain,
( ~ spl0_12
| ~ spl0_9
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f3574,f364,f354,f591]) ).
fof(f4029,plain,
( ~ spl0_20
| ~ spl0_9
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f3764,f390,f354,f591]) ).
fof(f4048,plain,
( e3 != op(e2,e1)
| ~ spl0_89
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f656,f713]) ).
fof(f4049,plain,
( ~ spl0_39
| ~ spl0_89
| spl0_103 ),
inference(split_clause,[status(thm)],[f4048,f451,f655,f711]) ).
fof(f4051,plain,
( spl0_17
| ~ spl0_20
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f3068,f380,f390,f581]) ).
fof(f4059,plain,
( ~ spl0_27
| ~ spl0_88
| spl0_102 ),
inference(split_clause,[status(thm)],[f2551,f412,f651,f707]) ).
fof(f4084,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f514,f95]) ).
fof(f4091,plain,
( op(e3,e0) = e3
| ~ spl0_60
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f521,f614]) ).
fof(f4116,plain,
( op(e2,e1) = e2
| ~ spl0_33
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f433,f572]) ).
fof(f4119,plain,
( e2 != op(e2,e3)
| ~ spl0_33
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f4116,f118]) ).
fof(f4120,plain,
( ~ spl0_46
| ~ spl0_33
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f4119,f474,f432,f571]) ).
fof(f4121,plain,
( op(e1,e1) != e2
| ~ spl0_33
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f4116,f87]) ).
fof(f4122,plain,
( ~ spl0_22
| ~ spl0_33
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f4121,f396,f432,f571]) ).
fof(f4123,plain,
( op(e3,e3) = e3
| ~ spl0_51
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f491,f575]) ).
fof(f4123_009,plain,
( op(e3,e3) = e3
| ~ spl0_51
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f491,f575]) ).
fof(f4124,plain,
( e0 = e3
| ~ spl0_60
| ~ spl0_51
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f521,f4123]) ).
fof(f4125,plain,
( $false
| ~ spl0_60
| ~ spl0_51
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f4124,f128]) ).
fof(f4126,plain,
( ~ spl0_60
| ~ spl0_51
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f4125]) ).
fof(f4145,plain,
( op(e1,e2) != e1
| ~ spl0_22
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f397,f583]) ).
fof(f4146,plain,
( ~ spl0_25
| ~ spl0_22
| spl0_69 ),
inference(split_clause,[status(thm)],[f4145,f406,f396,f581]) ).
fof(f4215,plain,
( op(e3,e2) = e3
| ~ spl0_58
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f514,f601]) ).
fof(f4216,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f514,f4215]) ).
fof(f4217,plain,
( $false
| ~ spl0_58
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f4216,f131]) ).
fof(f4218,plain,
( ~ spl0_58
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f4217]) ).
fof(f4333,plain,
( op(e2,e2) = e2
| ~ spl0_34
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f436,f572]) ).
fof(f4333_010,plain,
( op(e2,e2) = e2
| ~ spl0_34
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f436,f572]) ).
fof(f4334,plain,
( $false
| ~ spl0_58
| ~ spl0_34
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f4333,f4084]) ).
fof(f4335,plain,
( ~ spl0_58
| ~ spl0_34
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f4334]) ).
fof(f4345,plain,
( e3 = e0
| ~ spl0_94
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f675,f566]) ).
fof(f4346,plain,
( $false
| ~ spl0_94
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f4345,f128]) ).
fof(f4347,plain,
( ~ spl0_94
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f4346]) ).
fof(f4423,plain,
( op(e2,e2) = e2
| ~ spl0_46
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f475,f611]) ).
fof(f4424,plain,
( $false
| spl0_42
| ~ spl0_46
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f4423,f463]) ).
fof(f4425,plain,
( spl0_42
| ~ spl0_46
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f4424]) ).
fof(f4428,plain,
( spl0_51
| ~ spl0_56
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2738,f490,f507,f600]) ).
fof(f4429,plain,
( op(e3,e1) != e3
| ~ spl0_49
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f485,f576]) ).
fof(f4430,plain,
( ~ spl0_55
| ~ spl0_49
| spl0_67 ),
inference(split_clause,[status(thm)],[f4429,f503,f484,f574]) ).
fof(f4436,plain,
( spl0_38
| ~ spl0_45
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f3168,f448,f471,f610]) ).
fof(f4445,plain,
( spl0_63
| ~ spl0_51
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f4123,f529,f490,f574]) ).
fof(f4480,plain,
( e3 != op(e2,e0)
| ~ spl0_96
| spl0_104 ),
inference(backward_demodulation,[status(thm)],[f683,f718]) ).
fof(f4481,plain,
( ~ spl0_35
| ~ spl0_96
| spl0_104 ),
inference(split_clause,[status(thm)],[f4480,f438,f682,f716]) ).
fof(f4564,plain,
( op(e3,e0) = e3
| ~ spl0_48
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f482,f575]) ).
fof(f4565,plain,
( e0 = e3
| ~ spl0_48
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f482,f4564]) ).
fof(f4566,plain,
( $false
| ~ spl0_48
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f4565,f128]) ).
fof(f4567,plain,
( ~ spl0_48
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f4566]) ).
fof(f4582,plain,
( spl0_42
| ~ spl0_34
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f4333,f461,f435,f571]) ).
fof(f4594,plain,
( op(e1,e1) = e1
| ~ spl0_17
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f381,f569]) ).
fof(f4594_011,plain,
( op(e1,e1) = e1
| ~ spl0_17
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f381,f569]) ).
fof(f4779,plain,
( e3 = e1
| ~ spl0_23
| ~ spl0_17
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f400,f4594]) ).
fof(f4780,plain,
( $false
| ~ spl0_23
| ~ spl0_17
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f4779,f130]) ).
fof(f4781,plain,
( ~ spl0_23
| ~ spl0_17
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f4780]) ).
fof(f4821,plain,
( op(e3,e2) != e3
| ~ spl0_50
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f488,f576]) ).
fof(f4822,plain,
( ~ spl0_59
| ~ spl0_50
| spl0_67 ),
inference(split_clause,[status(thm)],[f4821,f516,f487,f574]) ).
fof(f4824,plain,
( spl0_25
| ~ spl0_30
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f3714,f406,f422,f607]) ).
fof(f4852,plain,
( e2 != op(e3,e1)
| ~ spl0_87
| ~ spl0_20
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f1770,f1765]) ).
fof(f4853,plain,
( ~ spl0_54
| ~ spl0_87
| ~ spl0_20
| spl0_98 ),
inference(split_clause,[status(thm)],[f4852,f500,f647,f390,f690]) ).
fof(f4862,plain,
( ~ spl0_54
| ~ spl0_19
| ~ spl0_20
| spl0_98 ),
inference(split_clause,[status(thm)],[f1766,f500,f386,f390,f690]) ).
fof(f4871,plain,
( spl0_21
| ~ spl0_17
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f4594,f393,f380,f568]) ).
fof(f5166,plain,
( op(e0,e2) = e0
| ~ spl0_2
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f332,f566]) ).
fof(f5167,plain,
( e1 = e0
| ~ spl0_101
| ~ spl0_2
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f3224,f5166]) ).
fof(f5168,plain,
( $false
| ~ spl0_101
| ~ spl0_2
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f5167,f126]) ).
fof(f5169,plain,
( ~ spl0_101
| ~ spl0_2
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f5168]) ).
fof(f5194,plain,
( spl0_51
| ~ spl0_60
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f4091,f490,f520,f613]) ).
fof(f5260,plain,
( op(e1,e3) = e1
| ~ spl0_19
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f387,f569]) ).
fof(f5261,plain,
( spl0_29
| ~ spl0_19
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f5260,f419,f386,f568]) ).
fof(f5266,plain,
$false,
inference(sat_refutation,[status(thm)],[f337,f350,f363,f376,f389,f402,f415,f428,f441,f454,f467,f480,f493,f506,f519,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f577,f590,f603,f616,f620,f622,f623,f624,f625,f632,f639,f643,f650,f654,f658,f662,f666,f670,f677,f681,f685,f689,f693,f694,f698,f702,f706,f710,f714,f715,f719,f720,f721,f725,f726,f727,f728,f729,f730,f734,f735,f736,f737,f739,f743,f744,f745,f746,f747,f748,f752,f753,f754,f755,f756,f757,f761,f763,f764,f765,f766,f770,f771,f772,f773,f774,f775,f779,f780,f781,f782,f783,f784,f788,f789,f790,f791,f793,f797,f798,f799,f800,f801,f802,f806,f808,f809,f810,f811,f815,f816,f817,f818,f819,f820,f824,f825,f826,f827,f828,f829,f833,f834,f835,f836,f837,f838,f842,f843,f844,f845,f846,f847,f848,f850,f851,f852,f853,f894,f899,f904,f907,f910,f912,f916,f919,f921,f924,f925,f928,f930,f934,f948,f951,f952,f957,f974,f978,f981,f982,f985,f988,f1007,f1013,f1015,f1017,f1021,f1026,f1029,f1030,f1037,f1042,f1045,f1047,f1048,f1049,f1054,f1060,f1081,f1083,f1087,f1088,f1093,f1096,f1097,f1117,f1120,f1126,f1132,f1134,f1138,f1139,f1141,f1144,f1145,f1148,f1149,f1151,f1154,f1161,f1163,f1165,f1166,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1187,f1190,f1192,f1193,f1194,f1195,f1196,f1197,f1203,f1206,f1208,f1212,f1214,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1223,f1229,f1231,f1247,f1249,f1266,f1268,f1269,f1270,f1272,f1273,f1274,f1275,f1276,f1278,f1280,f1281,f1285,f1286,f1287,f1288,f1290,f1295,f1296,f1298,f1299,f1300,f1304,f1308,f1312,f1321,f1333,f1334,f1337,f1339,f1346,f1352,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1369,f1370,f1378,f1382,f1398,f1427,f1437,f1444,f1461,f1487,f1503,f1521,f1525,f1531,f1589,f1603,f1615,f1619,f1620,f1628,f1629,f1631,f1634,f1635,f1636,f1637,f1655,f1694,f1752,f1762,f1772,f1807,f1813,f1827,f1852,f1857,f1858,f1859,f1878,f1885,f1888,f1906,f1929,f1931,f1934,f1942,f1952,f1968,f1970,f1973,f1974,f1975,f1976,f1981,f1982,f1983,f1984,f1991,f2000,f2001,f2004,f2006,f2008,f2009,f2010,f2013,f2014,f2022,f2023,f2024,f2032,f2033,f2043,f2062,f2066,f2105,f2109,f2110,f2131,f2133,f2139,f2203,f2212,f2221,f2318,f2330,f2333,f2335,f2356,f2405,f2407,f2409,f2410,f2412,f2421,f2425,f2431,f2446,f2451,f2458,f2488,f2490,f2494,f2554,f2563,f2568,f2586,f2591,f2597,f2659,f2779,f2789,f2795,f2803,f2812,f2830,f2842,f2864,f2891,f2915,f2929,f2941,f2951,f2969,f3094,f3102,f3147,f3161,f3167,f3201,f3215,f3223,f3225,f3236,f3260,f3272,f3276,f3279,f3282,f3286,f3300,f3314,f3315,f3383,f3422,f3456,f3458,f3462,f3464,f3465,f3472,f3491,f3492,f3493,f3494,f3497,f3505,f3515,f3522,f3523,f3530,f3580,f3582,f3621,f3631,f3658,f3713,f3751,f3759,f3762,f3770,f3823,f3873,f3886,f3901,f3966,f3972,f3975,f3987,f4013,f4026,f4027,f4028,f4029,f4049,f4051,f4059,f4120,f4122,f4126,f4146,f4218,f4335,f4347,f4425,f4428,f4430,f4436,f4445,f4481,f4567,f4582,f4781,f4822,f4824,f4853,f4862,f4871,f5169,f5194,f5261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG131+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:45:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 3.86/0.87 % Refutation found
% 3.86/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.86/0.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.86/0.89 % Elapsed time: 0.538776 seconds
% 3.86/0.89 % CPU time: 4.172068 seconds
% 3.86/0.89 % Total memory used: 55.771 MB
% 3.86/0.89 % Net memory used: 53.578 MB
%------------------------------------------------------------------------------