TSTP Solution File: ALG146+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG146+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:10:19 EDT 2024
% Result : Unsatisfiable 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 135
% Syntax : Number of formulae : 1013 ( 52 unt; 0 def)
% Number of atoms : 3618 (1966 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4400 (1795 ~;1787 |; 702 &)
% ( 101 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 118 ( 116 usr; 117 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,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e2,e2) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(op(e2,e2),op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(op(e2,e2),op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(op(e1,e1),op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(op(e3,e3),op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(op(e2,e2),op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(op(e3,e3),op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(op(e2,e2),op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(op(e3,e3),op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(op(e3,e3),op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(op(e0,e0),op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(op(e1,e1),op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(op(e0,e0),op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(op(e1,e1),op(e1,e1)),e1) ),
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(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(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(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(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(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(f82,plain,
op(e1,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(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( pd0_0
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
( op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f139,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f141,plain,
( op(e1,e1) != e2
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f142,plain,
( op(e1,e1) != e3
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f143,plain,
( op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f144,plain,
( op(e2,e2) != e1
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f146,plain,
( op(e2,e2) != e3
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f147,plain,
( op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f148,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f149,plain,
( op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f151,plain,
( pd0_0
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f153,plain,
( pd0_0
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f156,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f157,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f160,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f161,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f163,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f165,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f167,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f169,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f171,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f174,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f175,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f178,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f179,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f182,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f183,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f188,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f189,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f192,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f193,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f196,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f197,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f198,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f199,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f202,plain,
( ~ pd0_0
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 )
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f203,plain,
( pd0_1
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f202]) ).
fof(f204,plain,
( ~ pd0_0
| pd0_1
| ( op(e3,e2) = e3
& op(e2,e3) = e3
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f202,f203]) ).
fof(f205,plain,
( ~ pd0_0
| pd0_1
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f206,plain,
( ~ pd0_0
| pd0_1
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f207,plain,
( ~ pd0_0
| pd0_1
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f208,plain,
( ~ pd0_1
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 )
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f203]) ).
fof(f209,plain,
( pd0_2
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 ) ) ),
introduced(predicate_definition,[f208]) ).
fof(f210,plain,
( ~ pd0_1
| pd0_2
| ( op(e3,e1) = e3
& op(e1,e3) = e3
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f208,f209]) ).
fof(f211,plain,
( ~ pd0_1
| pd0_2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f212,plain,
( ~ pd0_1
| pd0_2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f213,plain,
( ~ pd0_1
| pd0_2
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f214,plain,
( ~ pd0_2
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 )
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f209]) ).
fof(f215,plain,
( pd0_3
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f214]) ).
fof(f216,plain,
( ~ pd0_2
| pd0_3
| ( op(e3,e0) = e3
& op(e0,e3) = e3
& op(e0,e0) != e0 ) ),
inference(formula_renaming,[status(thm)],[f214,f215]) ).
fof(f217,plain,
( ~ pd0_2
| pd0_3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f216]) ).
fof(f218,plain,
( ~ pd0_2
| pd0_3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f216]) ).
fof(f219,plain,
( ~ pd0_2
| pd0_3
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f216]) ).
fof(f220,plain,
( ~ pd0_3
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f215]) ).
fof(f221,plain,
( pd0_4
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f220]) ).
fof(f222,plain,
( ~ pd0_3
| pd0_4
| ( op(e2,e3) = e2
& op(e3,e2) = e2
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f220,f221]) ).
fof(f223,plain,
( ~ pd0_3
| pd0_4
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f224,plain,
( ~ pd0_3
| pd0_4
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f225,plain,
( ~ pd0_3
| pd0_4
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f226,plain,
( ~ pd0_4
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f221]) ).
fof(f227,plain,
( pd0_5
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f226]) ).
fof(f228,plain,
( ~ pd0_4
| pd0_5
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f226,f227]) ).
fof(f229,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f228]) ).
fof(f231,plain,
( ~ pd0_4
| pd0_5
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f228]) ).
fof(f232,plain,
( ~ pd0_5
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 )
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f227]) ).
fof(f233,plain,
( pd0_6
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 ) ) ),
introduced(predicate_definition,[f232]) ).
fof(f234,plain,
( ~ pd0_5
| pd0_6
| ( op(e2,e1) = e2
& op(e1,e2) = e2
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f232,f233]) ).
fof(f235,plain,
( ~ pd0_5
| pd0_6
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f236,plain,
( ~ pd0_5
| pd0_6
| op(e1,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f237,plain,
( ~ pd0_5
| pd0_6
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f238,plain,
( ~ pd0_6
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 )
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f233]) ).
fof(f239,plain,
( pd0_7
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f238]) ).
fof(f240,plain,
( ~ pd0_6
| pd0_7
| ( op(e2,e0) = e2
& op(e0,e2) = e2
& op(e0,e0) != e0 ) ),
inference(formula_renaming,[status(thm)],[f238,f239]) ).
fof(f241,plain,
( ~ pd0_6
| pd0_7
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f242,plain,
( ~ pd0_6
| pd0_7
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f243,plain,
( ~ pd0_6
| pd0_7
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f244,plain,
( ~ pd0_7
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 )
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f239]) ).
fof(f245,plain,
( pd0_8
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f244]) ).
fof(f246,plain,
( ~ pd0_7
| pd0_8
| ( op(e1,e3) = e1
& op(e3,e1) = e1
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f244,f245]) ).
fof(f247,plain,
( ~ pd0_7
| pd0_8
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f248,plain,
( ~ pd0_7
| pd0_8
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f249,plain,
( ~ pd0_7
| pd0_8
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f250,plain,
( ~ pd0_8
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f245]) ).
fof(f251,plain,
( pd0_9
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f250]) ).
fof(f252,plain,
( ~ pd0_8
| pd0_9
| ( op(e1,e2) = e1
& op(e2,e1) = e1
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f250,f251]) ).
fof(f253,plain,
( ~ pd0_8
| pd0_9
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f254,plain,
( ~ pd0_8
| pd0_9
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f255,plain,
( ~ pd0_8
| pd0_9
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f256,plain,
( ~ pd0_9
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f251]) ).
fof(f257,plain,
( pd0_10
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 ) ) ),
introduced(predicate_definition,[f256]) ).
fof(f258,plain,
( ~ pd0_9
| pd0_10
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f256,f257]) ).
fof(f259,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f258]) ).
fof(f261,plain,
( ~ pd0_9
| pd0_10
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f258]) ).
fof(f262,plain,
( ~ pd0_10
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 )
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f257]) ).
fof(f263,plain,
( pd0_11
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 ) ) ),
introduced(predicate_definition,[f262]) ).
fof(f264,plain,
( ~ pd0_10
| pd0_11
| ( op(e1,e0) = e1
& op(e0,e1) = e1
& op(e0,e0) != e0 ) ),
inference(formula_renaming,[status(thm)],[f262,f263]) ).
fof(f265,plain,
( ~ pd0_10
| pd0_11
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f266,plain,
( ~ pd0_10
| pd0_11
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f267,plain,
( ~ pd0_10
| pd0_11
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f268,plain,
( ~ pd0_11
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 )
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f269,plain,
( pd0_12
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 ) ) ),
introduced(predicate_definition,[f268]) ).
fof(f270,plain,
( ~ pd0_11
| pd0_12
| ( op(e0,e3) = e0
& op(e3,e0) = e0
& op(e3,e3) != e3 ) ),
inference(formula_renaming,[status(thm)],[f268,f269]) ).
fof(f271,plain,
( ~ pd0_11
| pd0_12
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f272,plain,
( ~ pd0_11
| pd0_12
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f273,plain,
( ~ pd0_11
| pd0_12
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f274,plain,
( ~ pd0_12
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 )
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f269]) ).
fof(f275,plain,
( pd0_13
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 ) ) ),
introduced(predicate_definition,[f274]) ).
fof(f276,plain,
( ~ pd0_12
| pd0_13
| ( op(e0,e2) = e0
& op(e2,e0) = e0
& op(e2,e2) != e2 ) ),
inference(formula_renaming,[status(thm)],[f274,f275]) ).
fof(f277,plain,
( ~ pd0_12
| pd0_13
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f278,plain,
( ~ pd0_12
| pd0_13
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f279,plain,
( ~ pd0_12
| pd0_13
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f280,plain,
( ~ pd0_13
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f275]) ).
fof(f281,plain,
( pd0_14
=> ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
introduced(predicate_definition,[f280]) ).
fof(f282,plain,
( ~ pd0_13
| pd0_14
| ( op(e0,e1) = e0
& op(e1,e0) = e0
& op(e1,e1) != e1 ) ),
inference(formula_renaming,[status(thm)],[f280,f281]) ).
fof(f283,plain,
( ~ pd0_13
| pd0_14
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f284,plain,
( ~ pd0_13
| pd0_14
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f285,plain,
( ~ pd0_13
| pd0_14
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f286,plain,
( ~ pd0_14
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f281]) ).
fof(f287,plain,
( ~ pd0_14
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f289,plain,
( ~ pd0_14
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f290,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f290,f293,f296,f299]) ).
fof(f303,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f303,f306,f309,f312]) ).
fof(f316,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f316,f319,f322,f325]) ).
fof(f329,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f330,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f333,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f329,f332,f335,f338]) ).
fof(f342,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f343,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f342,f345,f348,f351]) ).
fof(f355,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f355,f358,f361,f364]) ).
fof(f368,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f368,f371,f374,f377]) ).
fof(f381,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f381,f384,f387,f390]) ).
fof(f394,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f395,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f394,f397,f400,f403]) ).
fof(f407,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f411,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f407,f410,f413,f416]) ).
fof(f420,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f420,f423,f426,f429]) ).
fof(f433,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f434,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f433,f436,f439,f442]) ).
fof(f446,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f446,f449,f452,f455]) ).
fof(f459,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f460,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f463,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f459,f462,f465,f468]) ).
fof(f472,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f473,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f472,f475,f478,f481]) ).
fof(f485,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f485,f488,f491,f494]) ).
fof(f498,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f290,f303,f316,f329]) ).
fof(f499,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f290,f342,f394,f446]) ).
fof(f500,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f293,f306,f319,f332]) ).
fof(f501,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f293,f345,f397,f449]) ).
fof(f502,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f296,f309,f322,f335]) ).
fof(f503,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f296,f348,f400,f452]) ).
fof(f505,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f299,f351,f403,f455]) ).
fof(f507,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f303,f355,f407,f459]) ).
fof(f509,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f306,f358,f410,f462]) ).
fof(f510,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f348,f361,f374,f387]) ).
fof(f511,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f309,f361,f413,f465]) ).
fof(f512,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f351,f364,f377,f390]) ).
fof(f513,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f312,f364,f416,f468]) ).
fof(f514,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f394,f407,f420,f433]) ).
fof(f515,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f316,f368,f420,f472]) ).
fof(f516,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f397,f410,f423,f436]) ).
fof(f517,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f319,f371,f423,f475]) ).
fof(f518,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f400,f413,f426,f439]) ).
fof(f519,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f322,f374,f426,f478]) ).
fof(f521,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f325,f377,f429,f481]) ).
fof(f523,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f329,f381,f433,f485]) ).
fof(f524,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f449,f462,f475,f488]) ).
fof(f525,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f332,f384,f436,f488]) ).
fof(f526,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f452,f465,f478,f491]) ).
fof(f527,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f335,f387,f439,f491]) ).
fof(f528,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f455,f468,f481,f494]) ).
fof(f529,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f338,f390,f442,f494]) ).
fof(f530,plain,
( spl0_0
| spl0_21
| spl0_42
| spl0_63 ),
inference(split_clause,[status(thm)],[f134,f290,f358,f426,f494]) ).
fof(f532,plain,
( ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f136,f293,f303]) ).
fof(f533,plain,
( ~ spl0_2
| spl0_8 ),
inference(split_clause,[status(thm)],[f137,f296,f316]) ).
fof(f534,plain,
( ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f138,f299,f329]) ).
fof(f535,plain,
( ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f139,f355,f345]) ).
fof(f537,plain,
( ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f141,f361,f371]) ).
fof(f538,plain,
( ~ spl0_23
| spl0_29 ),
inference(split_clause,[status(thm)],[f142,f364,f384]) ).
fof(f539,plain,
( ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f143,f420,f400]) ).
fof(f540,plain,
( ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f144,f423,f413]) ).
fof(f542,plain,
( ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f146,f429,f439]) ).
fof(f543,plain,
( ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f147,f485,f455]) ).
fof(f544,plain,
( ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f148,f488,f468]) ).
fof(f545,plain,
( ~ spl0_62
| spl0_59 ),
inference(split_clause,[status(thm)],[f149,f491,f481]) ).
fof(f547,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( spl0_64
| spl0_63 ),
inference(split_clause,[status(thm)],[f151,f547,f494]) ).
fof(f552,plain,
( spl0_64
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f153,f547,f494]) ).
fof(f553,plain,
( spl0_65
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl0_65 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( spl0_66
<=> e2 = op(op(op(e3,e3),op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f558,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| spl0_66 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f560,plain,
( spl0_67
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl0_67 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( spl0_68
<=> e3 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| spl0_68 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( ~ spl0_40
| ~ spl0_67
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f157,f420,f560,f563]) ).
fof(f567,plain,
( spl0_69
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| spl0_69 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( spl0_70
<=> e1 = op(op(op(e3,e3),op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| spl0_70 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f574,plain,
( spl0_71
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl0_71 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_72
<=> e3 = op(op(op(e1,e1),op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),e1)
| spl0_72 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ spl0_20
| ~ spl0_71
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f161,f355,f574,f577]) ).
fof(f581,plain,
( spl0_73
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( e3 = op(op(e2,e2),op(e2,e2))
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| spl0_73 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( spl0_74
<=> e1 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( ~ spl0_40
| ~ spl0_73
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f163,f420,f581,f584]) ).
fof(f588,plain,
( spl0_75
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f589,plain,
( e3 = op(op(e1,e1),op(e1,e1))
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl0_75 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_76
<=> e2 = op(op(op(e1,e1),op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( e2 = op(op(op(e1,e1),op(e1,e1)),e1)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
| spl0_76 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( ~ spl0_20
| ~ spl0_75
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f165,f355,f588,f591]) ).
fof(f595,plain,
( spl0_77
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( e0 = op(op(e3,e3),op(e3,e3))
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_77 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ spl0_61
| ~ spl0_77
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f167,f488,f595,f556]) ).
fof(f599,plain,
( spl0_78
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl0_78 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ spl0_41
| ~ spl0_78
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f169,f423,f599,f563]) ).
fof(f603,plain,
( spl0_79
<=> e0 = op(op(op(e3,e3),op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( e0 != op(op(op(e3,e3),op(e3,e3)),e3)
| spl0_79 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( ~ spl0_61
| ~ spl0_69
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f171,f488,f567,f603]) ).
fof(f614,plain,
( spl0_82
<=> e0 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| spl0_82 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ spl0_41
| ~ spl0_73
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f175,f423,f581,f614]) ).
fof(f618,plain,
( spl0_83
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl0_83 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( spl0_84
<=> e2 = op(op(op(e0,e0),op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| spl0_84 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f625,plain,
( ~ spl0_62
| ~ spl0_77
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f179,f491,f595,f570]) ).
fof(f626,plain,
( spl0_85
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( e0 = op(op(e1,e1),op(e1,e1))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl0_85 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f630,plain,
( ~ spl0_62
| ~ spl0_65
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f183,f491,f553,f603]) ).
fof(f631,plain,
( spl0_86
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl0_86 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f635,plain,
( spl0_87
<=> e0 = op(op(op(e1,e1),op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
| spl0_87 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f639,plain,
( spl0_88
<=> e1 = op(op(op(e0,e0),op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| spl0_88 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ spl0_2
| ~ spl0_83
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f189,f296,f618,f639]) ).
fof(f644,plain,
( ~ spl0_23
| ~ spl0_85
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f193,f364,f626,f591]) ).
fof(f646,plain,
( ~ spl0_3
| ~ spl0_86
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f197,f299,f631,f621]) ).
fof(f647,plain,
( ~ spl0_23
| ~ spl0_71
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f199,f364,f574,f635]) ).
fof(f649,plain,
( spl0_89
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( ~ spl0_64
| spl0_89
| spl0_59 ),
inference(split_clause,[status(thm)],[f205,f547,f649,f481]) ).
fof(f653,plain,
( ~ spl0_64
| spl0_89
| spl0_47 ),
inference(split_clause,[status(thm)],[f206,f547,f649,f442]) ).
fof(f654,plain,
( ~ spl0_64
| spl0_89
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f207,f547,f649,f426]) ).
fof(f655,plain,
( spl0_90
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f658,plain,
( ~ spl0_89
| spl0_90
| spl0_55 ),
inference(split_clause,[status(thm)],[f211,f649,f655,f468]) ).
fof(f659,plain,
( ~ spl0_89
| spl0_90
| spl0_31 ),
inference(split_clause,[status(thm)],[f212,f649,f655,f390]) ).
fof(f660,plain,
( ~ spl0_89
| spl0_90
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f213,f649,f655,f358]) ).
fof(f661,plain,
( spl0_91
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( ~ spl0_90
| spl0_91
| spl0_51 ),
inference(split_clause,[status(thm)],[f217,f655,f661,f455]) ).
fof(f665,plain,
( ~ spl0_90
| spl0_91
| spl0_15 ),
inference(split_clause,[status(thm)],[f218,f655,f661,f338]) ).
fof(f666,plain,
( ~ spl0_90
| spl0_91
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f219,f655,f661,f290]) ).
fof(f667,plain,
( spl0_92
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( ~ spl0_91
| spl0_92
| spl0_46 ),
inference(split_clause,[status(thm)],[f223,f661,f667,f439]) ).
fof(f671,plain,
( ~ spl0_91
| spl0_92
| spl0_58 ),
inference(split_clause,[status(thm)],[f224,f661,f667,f478]) ).
fof(f672,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f225,f661,f667,f494]) ).
fof(f673,plain,
( spl0_93
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( ~ spl0_92
| spl0_93
| spl0_42 ),
inference(split_clause,[status(thm)],[f229,f667,f673,f426]) ).
fof(f678,plain,
( ~ spl0_92
| spl0_93
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f231,f667,f673,f426]) ).
fof(f679,plain,
( spl0_94
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( ~ spl0_93
| spl0_94
| spl0_38 ),
inference(split_clause,[status(thm)],[f235,f673,f679,f413]) ).
fof(f683,plain,
( ~ spl0_93
| spl0_94
| spl0_26 ),
inference(split_clause,[status(thm)],[f236,f673,f679,f374]) ).
fof(f684,plain,
( ~ spl0_93
| spl0_94
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f237,f673,f679,f358]) ).
fof(f685,plain,
( spl0_95
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( ~ spl0_94
| spl0_95
| spl0_34 ),
inference(split_clause,[status(thm)],[f241,f679,f685,f400]) ).
fof(f689,plain,
( ~ spl0_94
| spl0_95
| spl0_10 ),
inference(split_clause,[status(thm)],[f242,f679,f685,f322]) ).
fof(f690,plain,
( ~ spl0_94
| spl0_95
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f243,f679,f685,f290]) ).
fof(f691,plain,
( spl0_96
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f694,plain,
( ~ spl0_95
| spl0_96
| spl0_29 ),
inference(split_clause,[status(thm)],[f247,f685,f691,f384]) ).
fof(f695,plain,
( ~ spl0_95
| spl0_96
| spl0_53 ),
inference(split_clause,[status(thm)],[f248,f685,f691,f462]) ).
fof(f696,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f249,f685,f691,f494]) ).
fof(f697,plain,
( spl0_97
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f700,plain,
( ~ spl0_96
| spl0_97
| spl0_25 ),
inference(split_clause,[status(thm)],[f253,f691,f697,f371]) ).
fof(f701,plain,
( ~ spl0_96
| spl0_97
| spl0_37 ),
inference(split_clause,[status(thm)],[f254,f691,f697,f410]) ).
fof(f702,plain,
( ~ spl0_96
| spl0_97
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f255,f691,f697,f426]) ).
fof(f703,plain,
( spl0_98
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f706,plain,
( ~ spl0_97
| spl0_98
| spl0_21 ),
inference(split_clause,[status(thm)],[f259,f697,f703,f358]) ).
fof(f708,plain,
( ~ spl0_97
| spl0_98
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f261,f697,f703,f358]) ).
fof(f709,plain,
( spl0_99
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f712,plain,
( ~ spl0_98
| spl0_99
| spl0_17 ),
inference(split_clause,[status(thm)],[f265,f703,f709,f345]) ).
fof(f713,plain,
( ~ spl0_98
| spl0_99
| spl0_5 ),
inference(split_clause,[status(thm)],[f266,f703,f709,f306]) ).
fof(f714,plain,
( ~ spl0_98
| spl0_99
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f267,f703,f709,f290]) ).
fof(f715,plain,
( spl0_100
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( ~ spl0_99
| spl0_100
| spl0_12 ),
inference(split_clause,[status(thm)],[f271,f709,f715,f329]) ).
fof(f719,plain,
( ~ spl0_99
| spl0_100
| spl0_48 ),
inference(split_clause,[status(thm)],[f272,f709,f715,f446]) ).
fof(f720,plain,
( ~ spl0_99
| spl0_100
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f273,f709,f715,f494]) ).
fof(f721,plain,
( spl0_101
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( ~ spl0_100
| spl0_101
| spl0_8 ),
inference(split_clause,[status(thm)],[f277,f715,f721,f316]) ).
fof(f725,plain,
( ~ spl0_100
| spl0_101
| spl0_32 ),
inference(split_clause,[status(thm)],[f278,f715,f721,f394]) ).
fof(f726,plain,
( ~ spl0_100
| spl0_101
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f279,f715,f721,f426]) ).
fof(f727,plain,
( spl0_102
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( ~ spl0_101
| spl0_102
| spl0_4 ),
inference(split_clause,[status(thm)],[f283,f721,f727,f303]) ).
fof(f731,plain,
( ~ spl0_101
| spl0_102
| spl0_16 ),
inference(split_clause,[status(thm)],[f284,f721,f727,f342]) ).
fof(f732,plain,
( ~ spl0_101
| spl0_102
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f285,f721,f727,f358]) ).
fof(f733,plain,
( ~ spl0_102
| spl0_0 ),
inference(split_clause,[status(thm)],[f287,f727,f290]) ).
fof(f735,plain,
( ~ spl0_102
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f289,f727,f290]) ).
fof(f736,plain,
( e0 != op(e0,e3)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f304,f106]) ).
fof(f737,plain,
( e0 != op(e0,e2)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f304,f105]) ).
fof(f738,plain,
( op(e0,e0) != e0
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f304,f102]) ).
fof(f742,plain,
( e1 != op(e1,e3)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f346,f110]) ).
fof(f743,plain,
( e1 != op(e1,e2)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f346,f109]) ).
fof(f744,plain,
( e1 != op(e1,e1)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f346,f108]) ).
fof(f745,plain,
( e1 != op(e3,e0)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f346,f82]) ).
fof(f748,plain,
( e3 != op(e3,e3)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f469,f124]) ).
fof(f749,plain,
( e3 != op(e3,e2)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f469,f123]) ).
fof(f750,plain,
( op(e3,e0) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f469,f120]) ).
fof(f751,plain,
( op(e2,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f469,f89]) ).
fof(f752,plain,
( op(e1,e1) != e3
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f469,f88]) ).
fof(f753,plain,
( e2 != op(e2,e3)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f414,f118]) ).
fof(f754,plain,
( e2 != op(e2,e2)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f414,f117]) ).
fof(f755,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f414,f114]) ).
fof(f756,plain,
( op(e1,e1) != e2
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f414,f87]) ).
fof(f757,plain,
( op(e0,e2) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f330,f107]) ).
fof(f758,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f330,f104]) ).
fof(f760,plain,
( e0 != op(e2,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f330,f97]) ).
fof(f762,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f482,f125]) ).
fof(f763,plain,
( op(e3,e0) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f482,f121]) ).
fof(f764,plain,
( op(e2,e2) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f482,f95]) ).
fof(f765,plain,
( op(e1,e2) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f482,f94]) ).
fof(f766,plain,
( op(e0,e2) != e3
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f482,f92]) ).
fof(f767,plain,
( e3 != op(e3,e3)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f456,f122]) ).
fof(f770,plain,
( op(e2,e2) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f440,f119]) ).
fof(f771,plain,
( op(e2,e0) != e2
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f440,f116]) ).
fof(f772,plain,
( e2 != op(e3,e3)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f440,f101]) ).
fof(f774,plain,
( e2 != op(e2,e2)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f401,f115]) ).
fof(f776,plain,
( op(e1,e2) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f385,f113]) ).
fof(f777,plain,
( op(e1,e1) != e1
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f385,f112]) ).
fof(f779,plain,
( op(e1,e1) != e1
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f372,f111]) ).
fof(f782,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f317,f103]) ).
fof(f784,plain,
( e1 = e0
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f346,f343]) ).
fof(f785,plain,
( $false
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f126]) ).
fof(f786,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f791,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f304,f307]) ).
fof(f792,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f126]) ).
fof(f793,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f796,plain,
( op(e0,e1) != e3
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f469,f86]) ).
fof(f798,plain,
( e1 != e1
| ~ spl0_29
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f385,f742]) ).
fof(f799,plain,
( $false
| ~ spl0_29
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f798]) ).
fof(f800,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( e1 != e1
| ~ spl0_25
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f372,f743]) ).
fof(f802,plain,
( $false
| ~ spl0_25
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f801]) ).
fof(f803,plain,
( ~ spl0_25
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( ~ spl0_21
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f744,f358,f345]) ).
fof(f807,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f317,f90]) ).
fof(f808,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f779,f358,f371]) ).
fof(f810,plain,
( e0 != e0
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f330,f736]) ).
fof(f811,plain,
( $false
| ~ spl0_12
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f810]) ).
fof(f812,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( e0 != e0
| ~ spl0_8
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f317,f737]) ).
fof(f814,plain,
( $false
| ~ spl0_8
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f813]) ).
fof(f815,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( op(e0,e3) != e2
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f440,f97]) ).
fof(f817,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f758,f290,f329]) ).
fof(f819,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f777,f358,f384]) ).
fof(f820,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f782,f290,f316]) ).
fof(f824,plain,
( e3 != op(e3,e3)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f391,f100]) ).
fof(f825,plain,
( ~ spl0_63
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f824,f494,f390]) ).
fof(f826,plain,
( op(e1,e1) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f391,f112]) ).
fof(f827,plain,
( op(e1,e2) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f391,f113]) ).
fof(f828,plain,
( op(e1,e0) != e3
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f391,f110]) ).
fof(f829,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f776,f371,f384]) ).
fof(f830,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f757,f316,f329]) ).
fof(f833,plain,
( e2 != op(e2,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f375,f93]) ).
fof(f834,plain,
( op(e1,e1) != e2
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f375,f111]) ).
fof(f836,plain,
( e3 = e0
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f456,f447]) ).
fof(f837,plain,
( $false
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f128]) ).
fof(f838,plain,
( ~ spl0_51
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f841,plain,
( ~ spl0_0
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f738,f290,f303]) ).
fof(f842,plain,
( ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f767,f494,f455]) ).
fof(f844,plain,
( e2 = e0
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f401,f395]) ).
fof(f845,plain,
( $false
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f127]) ).
fof(f846,plain,
( ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( e2 = e1
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f414,f411]) ).
fof(f848,plain,
( $false
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f129]) ).
fof(f849,plain,
( ~ spl0_38
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( e3 = e1
| ~ spl0_55
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f469,f463]) ).
fof(f852,plain,
( $false
| ~ spl0_55
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f130]) ).
fof(f853,plain,
( ~ spl0_55
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f854,plain,
( e2 = e1
| ~ spl0_46
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f440,f437]) ).
fof(f855,plain,
( $false
| ~ spl0_46
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f129]) ).
fof(f856,plain,
( ~ spl0_46
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( e3 = e1
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f482,f476]) ).
fof(f858,plain,
( $false
| ~ spl0_59
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f130]) ).
fof(f859,plain,
( ~ spl0_59
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f375,f378]) ).
fof(f861,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f131]) ).
fof(f862,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f863,plain,
( ~ spl0_46
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f753,f439,f413]) ).
fof(f864,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f755,f400,f413]) ).
fof(f865,plain,
( ~ spl0_59
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f749,f481,f468]) ).
fof(f866,plain,
( ~ spl0_51
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f750,f455,f468]) ).
fof(f867,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f771,f400,f439]) ).
fof(f868,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f772,f491,f439]) ).
fof(f870,plain,
( ~ spl0_51
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f763,f455,f481]) ).
fof(f871,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f764,f429,f481]) ).
fof(f873,plain,
( e2 != op(e3,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f323,f92]) ).
fof(f874,plain,
( e2 != op(e2,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f323,f91]) ).
fof(f875,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f874,f426,f322]) ).
fof(f876,plain,
( op(e0,e0) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f323,f103]) ).
fof(f877,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f876,f296,f322]) ).
fof(f878,plain,
( op(e0,e1) != e2
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f323,f105]) ).
fof(f879,plain,
( e2 != op(e0,e3)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f323,f107]) ).
fof(f882,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f479,f95]) ).
fof(f886,plain,
( op(e0,e2) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f339,f107]) ).
fof(f888,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f339,f96]) ).
fof(f889,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f888,f390,f338]) ).
fof(f891,plain,
( op(e0,e0) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f339,f104]) ).
fof(f892,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f339,f106]) ).
fof(f893,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f443,f97]) ).
fof(f894,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f443,f99]) ).
fof(f895,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f894,f390,f442]) ).
fof(f896,plain,
( e3 != op(e3,e3)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f443,f101]) ).
fof(f900,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f834,f361,f374]) ).
fof(f901,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f756,f361,f413]) ).
fof(f905,plain,
( op(e1,e0) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f382,f110]) ).
fof(f906,plain,
( op(e1,e1) != e0
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f382,f112]) ).
fof(f907,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f906,f355,f381]) ).
fof(f909,plain,
( e2 != e2
| ~ spl0_58
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f479,f873]) ).
fof(f910,plain,
( $false
| ~ spl0_58
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f909]) ).
fof(f911,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f910]) ).
fof(f912,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f762,f494,f481]) ).
fof(f913,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f882,f426,f478]) ).
fof(f914,plain,
( ~ spl0_42
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f770,f426,f439]) ).
fof(f915,plain,
( e1 != op(e0,e3)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f320,f107]) ).
fof(f916,plain,
( op(e0,e1) != e1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f320,f105]) ).
fof(f917,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f916,f306,f319]) ).
fof(f918,plain,
( op(e0,e0) != e1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f320,f103]) ).
fof(f919,plain,
( e1 != op(e2,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f320,f91]) ).
fof(f920,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f919,f423,f319]) ).
fof(f922,plain,
( ~ spl0_42
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f774,f426,f400]) ).
fof(f923,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f748,f494,f468]) ).
fof(f926,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f369,f113]) ).
fof(f927,plain,
( op(e1,e0) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f369,f109]) ).
fof(f928,plain,
( op(e1,e1) != e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f369,f111]) ).
fof(f929,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f928,f355,f368]) ).
fof(f930,plain,
( e0 != op(e2,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f369,f93]) ).
fof(f935,plain,
( e2 != op(e1,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f310,f84]) ).
fof(f936,plain,
( ~ spl0_22
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f935,f361,f309]) ).
fof(f937,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f310,f102]) ).
fof(f938,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f930,f420,f368]) ).
fof(f939,plain,
( e1 != op(e2,e3)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f398,f116]) ).
fof(f940,plain,
( e1 != op(e2,e1)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f398,f114]) ).
fof(f941,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f398,f79]) ).
fof(f942,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f941,f293,f397]) ).
fof(f945,plain,
( op(e0,e1) != e0
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f408,f85]) ).
fof(f946,plain,
( e0 != op(e2,e3)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f408,f118]) ).
fof(f949,plain,
( e0 != op(e2,e2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f408,f117]) ).
fof(f950,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f333,f106]) ).
fof(f952,plain,
( e1 != op(e2,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f333,f97]) ).
fof(f953,plain,
( op(e0,e0) != e1
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f333,f104]) ).
fof(f956,plain,
( e2 != op(e3,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f388,f100]) ).
fof(f957,plain,
( op(e1,e1) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f388,f112]) ).
fof(f958,plain,
( op(e1,e0) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f388,f110]) ).
fof(f959,plain,
( e3 != op(e1,e2)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f352,f109]) ).
fof(f960,plain,
( ~ spl0_27
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f959,f377,f351]) ).
fof(f961,plain,
( e3 != op(e3,e0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f352,f82]) ).
fof(f962,plain,
( ~ spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f961,f455,f351]) ).
fof(f963,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f352,f78]) ).
fof(f964,plain,
( op(e0,e0) != e3
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f313,f102]) ).
fof(f968,plain,
( e1 != op(e3,e2)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f450,f121]) ).
fof(f969,plain,
( ~ spl0_57
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f968,f475,f449]) ).
fof(f970,plain,
( e1 != op(e3,e1)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f450,f120]) ).
fof(f972,plain,
( e1 != op(e3,e3)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f450,f122]) ).
fof(f975,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f833,f426,f374]) ).
fof(f977,plain,
( e3 != e3
| ~ spl0_7
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f313,f796]) ).
fof(f978,plain,
( $false
| ~ spl0_7
| ~ spl0_55 ),
inference(trivial_equality_resolution,[status(esa)],[f977]) ).
fof(f979,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( op(e1,e2) != e2
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f388,f113]) ).
fof(f981,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f980,f374,f387]) ).
fof(f982,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f950,f306,f332]) ).
fof(f984,plain,
( e2 != op(e3,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f453,f122]) ).
fof(f987,plain,
( e2 != op(e3,e2)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f453,f121]) ).
fof(f989,plain,
( op(e0,e1) != e2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f336,f106]) ).
fof(f990,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f336,f98]) ).
fof(f992,plain,
( e2 != op(e1,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f336,f96]) ).
fof(f995,plain,
( op(e3,e1) != e0
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f473,f123]) ).
fof(f996,plain,
( e0 != op(e3,e3)
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f473,f125]) ).
fof(f997,plain,
( op(e2,e2) != e0
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f473,f95]) ).
fof(f999,plain,
( op(e0,e1) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f326,f105]) ).
fof(f1000,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f326,f90]) ).
fof(f1001,plain,
( op(e0,e0) != e3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f326,f103]) ).
fof(f1004,plain,
( e3 != op(e2,e1)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f404,f114]) ).
fof(f1005,plain,
( e3 != op(e2,e3)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f404,f116]) ).
fof(f1006,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f434,f99]) ).
fof(f1009,plain,
( op(e2,e2) != e0
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f434,f119]) ).
fof(f1029,plain,
( e3 = e0
| ~ spl0_35
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f404,f395]) ).
fof(f1030,plain,
( $false
| ~ spl0_35
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f128]) ).
fof(f1031,plain,
( ~ spl0_35
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1033,plain,
( op(e2,e0) != e0
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f434,f116]) ).
fof(f1034,plain,
( e3 != op(e1,e1)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f352,f108]) ).
fof(f1035,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1034,f364,f351]) ).
fof(f1036,plain,
( e2 = e0
| ~ spl0_26
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f375,f369]) ).
fof(f1037,plain,
( $false
| ~ spl0_26
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f127]) ).
fof(f1038,plain,
( ~ spl0_26
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( e0 != e0
| ~ spl0_44
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f434,f946]) ).
fof(f1040,plain,
( $false
| ~ spl0_44
| ~ spl0_36 ),
inference(trivial_equality_resolution,[status(esa)],[f1039]) ).
fof(f1041,plain,
( ~ spl0_44
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f1040]) ).
fof(f1043,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f893,f338,f442]) ).
fof(f1048,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f326,f886]) ).
fof(f1049,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f1048]) ).
fof(f1050,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f905,f342,f381]) ).
fof(f1052,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f952,f436,f332]) ).
fof(f1053,plain,
( e1 != op(e1,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f333,f96]) ).
fof(f1054,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1053,f384,f332]) ).
fof(f1055,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f754,f426,f413]) ).
fof(f1056,plain,
( ~ spl0_45
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f939,f436,f397]) ).
fof(f1058,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f398,f115]) ).
fof(f1059,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1058,f423,f397]) ).
fof(f1061,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f473,f482]) ).
fof(f1062,plain,
( $false
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f128]) ).
fof(f1063,plain,
( ~ spl0_56
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( e2 = e0
| ~ spl0_50
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f453,f447]) ).
fof(f1065,plain,
( $false
| ~ spl0_50
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f127]) ).
fof(f1066,plain,
( ~ spl0_50
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1067,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f999,f312,f325]) ).
fof(f1068,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1000,f377,f325]) ).
fof(f1069,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1001,f299,f325]) ).
fof(f1070,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f992,f387,f335]) ).
fof(f1071,plain,
( ~ spl0_44
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f760,f433,f329]) ).
fof(f1072,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f957,f361,f387]) ).
fof(f1073,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1009,f420,f433]) ).
fof(f1074,plain,
( op(e3,e0) != e0
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f473,f121]) ).
fof(f1075,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f964,f299,f312]) ).
fof(f1078,plain,
( e0 = e2
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f473,f479]) ).
fof(f1079,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1078,f127]) ).
fof(f1080,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1079]) ).
fof(f1081,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f807,f368,f316]) ).
fof(f1082,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f937,f296,f309]) ).
fof(f1083,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f915,f332,f319]) ).
fof(f1085,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f927,f342,f368]) ).
fof(f1086,plain,
( ~ spl0_37
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f940,f410,f397]) ).
fof(f1087,plain,
( ~ spl0_63
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f896,f494,f442]) ).
fof(f1088,plain,
( ~ spl0_53
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f970,f462,f449]) ).
fof(f1089,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f878,f309,f322]) ).
fof(f1090,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f879,f335,f322]) ).
fof(f1091,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f997,f420,f472]) ).
fof(f1092,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1074,f446,f472]) ).
fof(f1093,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f989,f309,f335]) ).
fof(f1095,plain,
( ~ spl0_11
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f766,f325,f481]) ).
fof(f1096,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f953,f293,f332]) ).
fof(f1097,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f926,f381,f368]) ).
fof(f1098,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f984,f491,f452]) ).
fof(f1101,plain,
( op(e3,e0) != e0
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f460,f120]) ).
fof(f1102,plain,
( ~ spl0_48
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1101,f446,f459]) ).
fof(f1103,plain,
( e0 != op(e3,e3)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f460,f124]) ).
fof(f1106,plain,
( ~ spl0_60
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f996,f485,f472]) ).
fof(f1107,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f945,f303,f407]) ).
fof(f1109,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f918,f293,f319]) ).
fof(f1111,plain,
( ~ spl0_49
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f745,f449,f345]) ).
fof(f1112,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f828,f351,f390]) ).
fof(f1114,plain,
( ~ spl0_61
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f972,f488,f449]) ).
fof(f1115,plain,
( ~ spl0_32
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1033,f394,f433]) ).
fof(f1116,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f765,f377,f481]) ).
fof(f1117,plain,
( ~ spl0_47
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1005,f442,f403]) ).
fof(f1119,plain,
( ~ spl0_40
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f949,f420,f407]) ).
fof(f1120,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f963,f299,f351]) ).
fof(f1122,plain,
( ~ spl0_62
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f956,f491,f387]) ).
fof(f1123,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f891,f299,f338]) ).
fof(f1130,plain,
( e0 != op(op(e3,e3),e2)
| ~ spl0_62
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f492,f597]) ).
fof(f1131,plain,
( e0 != op(e2,e2)
| ~ spl0_62
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f492,f1130]) ).
fof(f1133,plain,
( op(e3,e1) != e2
| ~ spl0_62 ),
inference(backward_demodulation,[status(thm)],[f492,f124]) ).
fof(f1138,plain,
( e1 != op(e2,op(e3,e3))
| ~ spl0_62
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f492,f555]) ).
fof(f1139,plain,
( e1 != op(e2,e2)
| ~ spl0_62
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f492,f1138]) ).
fof(f1149,plain,
( op(e2,e1) != e2
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f466,f89]) ).
fof(f1150,plain,
( ~ spl0_38
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1149,f413,f465]) ).
fof(f1154,plain,
( ~ spl0_27
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f827,f377,f390]) ).
fof(f1156,plain,
( ~ spl0_41
| ~ spl0_62
| spl0_65 ),
inference(split_clause,[status(thm)],[f1139,f423,f491,f553]) ).
fof(f1168,plain,
( e2 != op(e3,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f375,f94]) ).
fof(f1175,plain,
( e0 != op(op(e2,e2),e1)
| ~ spl0_41
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f424,f601]) ).
fof(f1176,plain,
( e0 != op(e1,e1)
| ~ spl0_41
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f424,f1175]) ).
fof(f1180,plain,
( e1 != op(e2,e3)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f424,f119]) ).
fof(f1189,plain,
( e3 != op(op(e0,e0),e2)
| ~ spl0_2
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f297,f620]) ).
fof(f1190,plain,
( e3 != op(e2,e2)
| ~ spl0_2
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f297,f1189]) ).
fof(f1197,plain,
( e1 != op(e2,e1)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f359,f87]) ).
fof(f1198,plain,
( ~ spl0_62
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f990,f491,f335]) ).
fof(f1199,plain,
( ~ spl0_40
| ~ spl0_62
| spl0_77 ),
inference(split_clause,[status(thm)],[f1131,f420,f491,f595]) ).
fof(f1207,plain,
( e2 != op(e0,e3)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f297,f104]) ).
fof(f1236,plain,
( op(e2,e1) != e3
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f443,f118]) ).
fof(f1271,plain,
( e3 != op(e1,op(e2,e2))
| ~ spl0_41
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f424,f583]) ).
fof(f1272,plain,
( e3 != op(e1,e1)
| ~ spl0_41
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f424,f1271]) ).
fof(f1274,plain,
( e0 != op(op(e2,op(e3,e3)),e3)
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f492,f605]) ).
fof(f1275,plain,
( e0 != op(op(e2,e2),e3)
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f492,f1274]) ).
fof(f1276,plain,
( e0 != op(e1,e3)
| ~ spl0_41
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f424,f1275]) ).
fof(f1277,plain,
( e0 != e0
| ~ spl0_28
| ~ spl0_41
| ~ spl0_62
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f382,f1276]) ).
fof(f1278,plain,
( $false
| ~ spl0_28
| ~ spl0_41
| ~ spl0_62
| spl0_79 ),
inference(trivial_equality_resolution,[status(esa)],[f1277]) ).
fof(f1279,plain,
( ~ spl0_28
| ~ spl0_41
| ~ spl0_62
| spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( e1 != op(op(e2,op(e3,e3)),e3)
| ~ spl0_62
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f492,f572]) ).
fof(f1281,plain,
( e1 != op(op(e2,e2),e3)
| ~ spl0_62
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f492,f1280]) ).
fof(f1282,plain,
( e0 = op(e2,op(e3,e3))
| ~ spl0_62
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f492,f596]) ).
fof(f1283,plain,
( e0 = op(e2,e2)
| ~ spl0_62
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f492,f1282]) ).
fof(f1300,plain,
( $false
| ~ spl0_47
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f1236]) ).
fof(f1301,plain,
( ~ spl0_47
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1306,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f382,f391]) ).
fof(f1307,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f128]) ).
fof(f1308,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1307]) ).
fof(f1309,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1207,f335,f296]) ).
fof(f1313,plain,
( ~ spl0_58
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1168,f478,f374]) ).
fof(f1315,plain,
( ~ spl0_45
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1180,f436,f423]) ).
fof(f1316,plain,
( ~ spl0_60
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1103,f485,f459]) ).
fof(f1319,plain,
( op(e0,e1) != e1
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f359,f84]) ).
fof(f1320,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1319,f306,f358]) ).
fof(f1324,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f450,f456]) ).
fof(f1325,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f130]) ).
fof(f1326,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1325]) ).
fof(f1338,plain,
( e1 != op(e0,e3)
| ~ spl0_77
| ~ spl0_62
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f1283,f1281]) ).
fof(f1339,plain,
( ~ spl0_13
| ~ spl0_77
| ~ spl0_62
| spl0_70 ),
inference(split_clause,[status(thm)],[f1338,f332,f595,f491,f570]) ).
fof(f1356,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f349,f108]) ).
fof(f1373,plain,
( e2 != op(op(e1,e1),e3)
| ~ spl0_23
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f365,f576]) ).
fof(f1374,plain,
( e2 != op(e3,e3)
| ~ spl0_23
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f365,f1373]) ).
fof(f1375,plain,
( e0 != op(op(e1,e1),e3)
| ~ spl0_23
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f365,f628]) ).
fof(f1376,plain,
( e0 != op(e3,e3)
| ~ spl0_23
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f365,f1375]) ).
fof(f1423,plain,
( e1 != op(e3,e2)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f463,f123]) ).
fof(f1459,plain,
( e2 != op(e2,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f388,f99]) ).
fof(f1460,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f892,f312,f338]) ).
fof(f1470,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f463,f466]) ).
fof(f1471,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f129]) ).
fof(f1472,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1476,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1197,f410,f358]) ).
fof(f1482,plain,
( ~ spl0_62
| ~ spl0_23
| spl0_71 ),
inference(split_clause,[status(thm)],[f1374,f491,f364,f574]) ).
fof(f1503,plain,
( e1 != op(e3,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f320,f92]) ).
fof(f1508,plain,
( e2 != op(e3,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f310,f86]) ).
fof(f1514,plain,
( e3 != op(e1,e2)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f365,f111]) ).
fof(f1540,plain,
( e1 != op(op(e0,e0),e3)
| ~ spl0_3
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f300,f633]) ).
fof(f1605,plain,
( e0 != op(op(e3,op(e1,e1)),e1)
| ~ spl0_23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f365,f637]) ).
fof(f1606,plain,
( e0 != op(op(e3,e3),e1)
| ~ spl0_23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f365,f1605]) ).
fof(f1607,plain,
( e0 != op(e2,e1)
| ~ spl0_62
| ~ spl0_23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f492,f1606]) ).
fof(f1608,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_62
| ~ spl0_23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f408,f1607]) ).
fof(f1609,plain,
( $false
| ~ spl0_36
| ~ spl0_62
| ~ spl0_23
| spl0_87 ),
inference(trivial_equality_resolution,[status(esa)],[f1608]) ).
fof(f1610,plain,
( ~ spl0_36
| ~ spl0_62
| ~ spl0_23
| spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1611,plain,
( ~ spl0_43
| ~ spl0_2
| spl0_83 ),
inference(split_clause,[status(thm)],[f1190,f429,f296,f618]) ).
fof(f1673,plain,
( e2 != op(e3,e1)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f362,f88]) ).
fof(f1727,plain,
( e1 != op(op(e2,op(e0,e0)),e0)
| ~ spl0_2
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f297,f641]) ).
fof(f1728,plain,
( e1 != op(op(e2,e2),e0)
| ~ spl0_2
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f297,f1727]) ).
fof(f1729,plain,
( e1 != op(e3,e0)
| ~ spl0_43
| ~ spl0_2
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f430,f1728]) ).
fof(f1730,plain,
( e1 != e1
| ~ spl0_49
| ~ spl0_43
| ~ spl0_2
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f450,f1729]) ).
fof(f1731,plain,
( $false
| ~ spl0_49
| ~ spl0_43
| ~ spl0_2
| spl0_88 ),
inference(trivial_equality_resolution,[status(esa)],[f1730]) ).
fof(f1732,plain,
( ~ spl0_49
| ~ spl0_43
| ~ spl0_2
| spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1733,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f395,f398]) ).
fof(f1734,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f126]) ).
fof(f1735,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1739,plain,
( ~ spl0_23
| ~ spl0_41
| spl0_73 ),
inference(split_clause,[status(thm)],[f1272,f364,f423,f581]) ).
fof(f1747,plain,
( e3 != op(e3,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f339,f98]) ).
fof(f1748,plain,
( ~ spl0_63
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1747,f494,f338]) ).
fof(f1751,plain,
( ~ spl0_27
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1514,f377,f364]) ).
fof(f1759,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1356,f361,f348]) ).
fof(f1763,plain,
( e1 != op(e2,e3)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f411,f118]) ).
fof(f1769,plain,
( ~ spl0_54
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1673,f465,f361]) ).
fof(f1772,plain,
( e1 != op(e3,e2)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f372,f94]) ).
fof(f1773,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1772,f475,f371]) ).
fof(f1778,plain,
( ~ spl0_54
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1508,f465,f309]) ).
fof(f1786,plain,
( e1 != op(e3,e3)
| ~ spl0_3
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f300,f1540]) ).
fof(f1796,plain,
( ~ spl0_54
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1133,f465,f491]) ).
fof(f1804,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1006,f381,f433]) ).
fof(f1805,plain,
( e2 != op(e1,e2)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f349,f109]) ).
fof(f1806,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1805,f374,f348]) ).
fof(f1812,plain,
( ~ spl0_52
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f995,f459,f472]) ).
fof(f1824,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f826,f364,f390]) ).
fof(f1825,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f752,f364,f468]) ).
fof(f1827,plain,
( ~ spl0_46
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1459,f439,f387]) ).
fof(f1828,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1503,f475,f319]) ).
fof(f1839,plain,
( op(e2,e0) != e3
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f430,f115]) ).
fof(f1842,plain,
( op(e0,e2) != e3
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f430,f91]) ).
fof(f1843,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1423,f475,f462]) ).
fof(f1844,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f987,f478,f452]) ).
fof(f1889,plain,
( e0 != op(e3,e2)
| ~ spl0_73
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f582,f616]) ).
fof(f1890,plain,
( ~ spl0_56
| ~ spl0_73
| spl0_82 ),
inference(split_clause,[status(thm)],[f1889,f472,f581,f614]) ).
fof(f1894,plain,
( ~ spl0_20
| ~ spl0_41
| spl0_78 ),
inference(split_clause,[status(thm)],[f1176,f355,f423,f599]) ).
fof(f1942,plain,
( e0 != op(op(e1,op(e3,e3)),e3)
| ~ spl0_61
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f489,f605]) ).
fof(f1943,plain,
( e0 != op(op(e1,e1),e3)
| ~ spl0_61
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f489,f1942]) ).
fof(f1965,plain,
( e0 != op(e1,op(e3,e3))
| ~ spl0_61
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f489,f597]) ).
fof(f1966,plain,
( e0 != op(e1,e1)
| ~ spl0_61
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f489,f1965]) ).
fof(f1967,plain,
( e0 != e0
| ~ spl0_20
| ~ spl0_61
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f356,f1966]) ).
fof(f1968,plain,
( $false
| ~ spl0_20
| ~ spl0_61
| spl0_77 ),
inference(trivial_equality_resolution,[status(esa)],[f1967]) ).
fof(f1969,plain,
( ~ spl0_20
| ~ spl0_61
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
( e2 != op(op(e1,op(e3,e3)),e3)
| ~ spl0_61
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f489,f558]) ).
fof(f1971,plain,
( e2 != op(op(e1,e1),e3)
| ~ spl0_61
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f489,f1970]) ).
fof(f1972,plain,
( e2 != op(e0,e3)
| ~ spl0_20
| ~ spl0_61
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f356,f1971]) ).
fof(f1973,plain,
( e2 != e2
| ~ spl0_14
| ~ spl0_20
| ~ spl0_61
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f336,f1972]) ).
fof(f1974,plain,
( $false
| ~ spl0_14
| ~ spl0_20
| ~ spl0_61
| spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f1973]) ).
fof(f1975,plain,
( ~ spl0_14
| ~ spl0_20
| ~ spl0_61
| spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1976,plain,
( ~ spl0_39
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1004,f416,f403]) ).
fof(f1978,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f751,f416,f468]) ).
fof(f1983,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f958,f348,f387]) ).
fof(f1984,plain,
( e3 = e2
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f469,f466]) ).
fof(f1985,plain,
( $false
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f131]) ).
fof(f1986,plain,
( ~ spl0_55
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f2062,plain,
( e2 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f356,f576]) ).
fof(f2063,plain,
( e2 != op(e0,e0)
| ~ spl0_20
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f356,f2062]) ).
fof(f2064,plain,
( e2 != e2
| ~ spl0_2
| ~ spl0_20
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f297,f2063]) ).
fof(f2065,plain,
( $false
| ~ spl0_2
| ~ spl0_20
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f2064]) ).
fof(f2066,plain,
( ~ spl0_2
| ~ spl0_20
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2067,plain,
( e3 != op(op(e1,e1),e0)
| ~ spl0_20
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f356,f590]) ).
fof(f2068,plain,
( e3 != op(e0,e0)
| ~ spl0_20
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f356,f2067]) ).
fof(f2073,plain,
( e3 != op(op(e0,op(e1,e1)),e1)
| ~ spl0_20
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f356,f579]) ).
fof(f2074,plain,
( e3 != op(op(e0,e0),e1)
| ~ spl0_20
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f356,f2073]) ).
fof(f2075,plain,
( e3 != op(e2,e1)
| ~ spl0_2
| ~ spl0_20
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f297,f2074]) ).
fof(f2076,plain,
( e3 != e3
| ~ spl0_39
| ~ spl0_2
| ~ spl0_20
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f417,f2075]) ).
fof(f2077,plain,
( $false
| ~ spl0_39
| ~ spl0_2
| ~ spl0_20
| spl0_72 ),
inference(trivial_equality_resolution,[status(esa)],[f2076]) ).
fof(f2078,plain,
( ~ spl0_39
| ~ spl0_2
| ~ spl0_20
| spl0_72 ),
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2079,plain,
( ~ spl0_60
| ~ spl0_23
| spl0_85 ),
inference(split_clause,[status(thm)],[f1376,f485,f364,f626]) ).
fof(f2082,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f816,f335,f439]) ).
fof(f2083,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f476,f479]) ).
fof(f2084,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f2083,f129]) ).
fof(f2085,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2144,plain,
( op(e3,e2) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f489,f125]) ).
fof(f2181,plain,
( e0 != op(e2,e3)
| ~ spl0_22
| ~ spl0_61
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f362,f1943]) ).
fof(f2182,plain,
( ~ spl0_44
| ~ spl0_22
| ~ spl0_61
| spl0_79 ),
inference(split_clause,[status(thm)],[f2181,f433,f361,f488,f603]) ).
fof(f2190,plain,
( e2 != op(e1,op(e3,e3))
| ~ spl0_61
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f489,f569]) ).
fof(f2191,plain,
( e2 != op(e1,e1)
| ~ spl0_61
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f489,f2190]) ).
fof(f2192,plain,
( e2 != e2
| ~ spl0_22
| ~ spl0_61
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f362,f2191]) ).
fof(f2193,plain,
( $false
| ~ spl0_22
| ~ spl0_61
| spl0_69 ),
inference(trivial_equality_resolution,[status(esa)],[f2192]) ).
fof(f2194,plain,
( ~ spl0_22
| ~ spl0_61
| spl0_69 ),
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2215,plain,
( e2 != op(e0,e1)
| ~ spl0_85
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f627,f593]) ).
fof(f2216,plain,
( ~ spl0_6
| ~ spl0_85
| spl0_76 ),
inference(split_clause,[status(thm)],[f2215,f309,f626,f591]) ).
fof(f2217,plain,
( ~ spl0_61
| ~ spl0_3
| spl0_86 ),
inference(split_clause,[status(thm)],[f1786,f488,f299,f631]) ).
fof(f2312,plain,
( e2 = op(op(op(e1,e1),e1),e1)
| ~ spl0_21
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f359,f592]) ).
fof(f2313,plain,
( e2 = op(op(e1,e1),e1)
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f359,f2312]) ).
fof(f2314,plain,
( e2 = op(e1,e1)
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f359,f2313]) ).
fof(f2315,plain,
( e2 = e1
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f359,f2314]) ).
fof(f2316,plain,
( $false
| ~ spl0_21
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f129]) ).
fof(f2317,plain,
( ~ spl0_21
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2367,plain,
( e2 != op(op(e3,op(e0,e0)),e0)
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f300,f623]) ).
fof(f2368,plain,
( e2 != op(op(e3,e3),e0)
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f300,f2367]) ).
fof(f2369,plain,
( e2 != op(e1,e0)
| ~ spl0_61
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f489,f2368]) ).
fof(f2370,plain,
( e2 != e2
| ~ spl0_18
| ~ spl0_61
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f349,f2369]) ).
fof(f2371,plain,
( $false
| ~ spl0_18
| ~ spl0_61
| ~ spl0_3
| spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f2370]) ).
fof(f2372,plain,
( ~ spl0_18
| ~ spl0_61
| ~ spl0_3
| spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2371]) ).
fof(f2383,plain,
( ~ spl0_57
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2144,f475,f488]) ).
fof(f2391,plain,
( ~ spl0_35
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1839,f403,f429]) ).
fof(f2394,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1842,f325,f429]) ).
fof(f2415,plain,
( op(e0,e3) != e1
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f489,f98]) ).
fof(f2416,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2415,f332,f488]) ).
fof(f2427,plain,
( e2 = e0
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f440,f434]) ).
fof(f2428,plain,
( $false
| ~ spl0_46
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f2427,f127]) ).
fof(f2429,plain,
( ~ spl0_46
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f2428]) ).
fof(f2515,plain,
( e1 != op(op(e2,e2),e0)
| ~ spl0_40
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f421,f562]) ).
fof(f2516,plain,
( e1 != op(e0,e0)
| ~ spl0_40
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f421,f2515]) ).
fof(f2517,plain,
( e1 != e1
| ~ spl0_1
| ~ spl0_40
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f294,f2516]) ).
fof(f2518,plain,
( $false
| ~ spl0_1
| ~ spl0_40
| spl0_67 ),
inference(trivial_equality_resolution,[status(esa)],[f2517]) ).
fof(f2519,plain,
( ~ spl0_1
| ~ spl0_40
| spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2518]) ).
fof(f2522,plain,
( e3 != op(op(e0,op(e2,e2)),e2)
| ~ spl0_40
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f421,f565]) ).
fof(f2523,plain,
( e3 != op(op(e0,e0),e2)
| ~ spl0_40
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f421,f2522]) ).
fof(f2524,plain,
( e3 != op(e1,e2)
| ~ spl0_1
| ~ spl0_40
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f294,f2523]) ).
fof(f2525,plain,
( e3 != e3
| ~ spl0_27
| ~ spl0_1
| ~ spl0_40
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f378,f2524]) ).
fof(f2526,plain,
( $false
| ~ spl0_27
| ~ spl0_1
| ~ spl0_40
| spl0_68 ),
inference(trivial_equality_resolution,[status(esa)],[f2525]) ).
fof(f2527,plain,
( ~ spl0_27
| ~ spl0_1
| ~ spl0_40
| spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2526]) ).
fof(f2545,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1763,f436,f410]) ).
fof(f2546,plain,
( e3 = e1
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f417,f411]) ).
fof(f2547,plain,
( $false
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f130]) ).
fof(f2548,plain,
( ~ spl0_39
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2549,plain,
( ~ spl0_3
| ~ spl0_20
| spl0_75 ),
inference(split_clause,[status(thm)],[f2068,f299,f355,f588]) ).
fof(f2575,plain,
( e3 != op(e0,op(e2,e2))
| ~ spl0_40
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f421,f583]) ).
fof(f2576,plain,
( e3 != op(e0,e0)
| ~ spl0_40
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f421,f2575]) ).
fof(f2613,plain,
( $false
| ~ spl0_40
| spl0_73
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f300,f2576]) ).
fof(f2614,plain,
( ~ spl0_40
| spl0_73
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2650,plain,
( e3 = op(e0,op(e1,e1))
| ~ spl0_20
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f356,f589]) ).
fof(f2651,plain,
( e3 = op(e0,e0)
| ~ spl0_20
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f356,f2650]) ).
fof(f2667,plain,
( e2 != op(op(e0,op(e1,e1)),e1)
| ~ spl0_20
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f356,f593]) ).
fof(f2668,plain,
( e2 != op(op(e0,e0),e1)
| ~ spl0_20
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f356,f2667]) ).
fof(f2669,plain,
( e2 != op(e3,e1)
| ~ spl0_75
| ~ spl0_20
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f2651,f2668]) ).
fof(f2670,plain,
( e2 != e2
| ~ spl0_54
| ~ spl0_75
| ~ spl0_20
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f466,f2669]) ).
fof(f2671,plain,
( $false
| ~ spl0_54
| ~ spl0_75
| ~ spl0_20
| spl0_76 ),
inference(trivial_equality_resolution,[status(esa)],[f2670]) ).
fof(f2672,plain,
( ~ spl0_54
| ~ spl0_75
| ~ spl0_20
| spl0_76 ),
inference(contradiction_clause,[status(thm)],[f2671]) ).
fof(f2673,plain,
$false,
inference(sat_refutation,[status(thm)],[f302,f315,f328,f341,f354,f367,f380,f393,f406,f419,f432,f445,f458,f471,f484,f497,f498,f499,f500,f501,f502,f503,f505,f507,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f521,f523,f524,f525,f526,f527,f528,f529,f530,f532,f533,f534,f535,f537,f538,f539,f540,f542,f543,f544,f545,f550,f552,f566,f580,f587,f594,f598,f602,f606,f617,f625,f630,f642,f644,f646,f647,f652,f653,f654,f658,f659,f660,f664,f665,f666,f670,f671,f672,f676,f678,f682,f683,f684,f688,f689,f690,f694,f695,f696,f700,f701,f702,f706,f708,f712,f713,f714,f718,f719,f720,f724,f725,f726,f730,f731,f732,f733,f735,f786,f793,f800,f803,f804,f808,f812,f815,f817,f819,f820,f825,f829,f830,f838,f841,f842,f846,f849,f853,f856,f859,f862,f863,f864,f865,f866,f867,f868,f870,f871,f875,f877,f889,f895,f900,f901,f907,f911,f912,f913,f914,f917,f920,f922,f923,f929,f936,f938,f942,f960,f962,f969,f975,f979,f981,f982,f1031,f1035,f1038,f1041,f1043,f1050,f1051,f1052,f1054,f1055,f1056,f1059,f1063,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1075,f1080,f1081,f1082,f1083,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1095,f1096,f1097,f1098,f1102,f1106,f1107,f1109,f1111,f1112,f1114,f1115,f1116,f1117,f1119,f1120,f1122,f1123,f1150,f1154,f1156,f1198,f1199,f1279,f1301,f1308,f1309,f1313,f1315,f1316,f1320,f1326,f1339,f1460,f1472,f1476,f1482,f1610,f1611,f1732,f1735,f1739,f1748,f1751,f1759,f1769,f1773,f1778,f1796,f1804,f1806,f1812,f1824,f1825,f1827,f1828,f1843,f1844,f1890,f1894,f1969,f1975,f1976,f1978,f1983,f1986,f2066,f2078,f2079,f2082,f2085,f2182,f2194,f2216,f2217,f2317,f2372,f2383,f2391,f2394,f2416,f2429,f2519,f2527,f2545,f2548,f2549,f2614,f2672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : ALG146+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:43:25 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.45/0.52 % Elapsed time: 0.203997 seconds
% 1.45/0.52 % CPU time: 1.472666 seconds
% 1.45/0.52 % Total memory used: 32.796 MB
% 1.45/0.52 % Net memory used: 31.470 MB
%------------------------------------------------------------------------------