TSTP Solution File: ALG141+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG141+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:10:15 EDT 2024
% Result : Unsatisfiable 3.79s 0.89s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 137
% Syntax : Number of formulae : 1388 ( 55 unt; 0 def)
% Number of atoms : 3976 (1442 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 4945 (2357 ~;2279 |; 199 &)
% ( 107 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 112 ( 110 usr; 111 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(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 )
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 )
| ( op(op(e2,e0),op(e2,e0)) = e0
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e2,e3)) = e3 )
| ( op(op(e3,e0),op(e3,e0)) = e0
& op(op(e3,e1),op(e3,e1)) = e1
& op(op(e3,e2),op(e3,e2)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f71,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( pd0_0
=> ( ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 )
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 )
| ( op(op(e2,e0),op(e2,e0)) = e0
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e2,e3)) = e3 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( pd0_0
| ( op(op(e3,e0),op(e3,e0)) = e0
& op(op(e3,e1),op(e3,e1)) = e1
& op(op(e3,e2),op(e3,e2)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( pd0_0
| op(op(e3,e0),op(e3,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
( pd0_0
| op(op(e3,e1),op(e3,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( pd0_0
| op(op(e3,e2),op(e3,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
( pd0_0
| op(op(e3,e3),op(e3,e3)) = e3 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f138,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f139,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f141,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f142,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f143,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f144,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f145,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f144]) ).
fof(f146,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f147,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f149,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f151,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f153,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f155,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f157,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f159,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f161,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f163,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f165,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f167,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f169,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f171,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f176,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f177,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f179,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f180,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f181,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f183,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f185,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( ~ pd0_0
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 )
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 )
| ( op(op(e2,e0),op(e2,e0)) = e0
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e2,e3)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f187,plain,
( pd0_1
=> ( ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 )
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 ) ) ),
introduced(predicate_definition,[f186]) ).
fof(f188,plain,
( ~ pd0_0
| pd0_1
| ( op(op(e2,e0),op(e2,e0)) = e0
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e2,e3)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f186,f187]) ).
fof(f189,plain,
( ~ pd0_0
| pd0_1
| op(op(e2,e0),op(e2,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( ~ pd0_0
| pd0_1
| op(op(e2,e1),op(e2,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f191,plain,
( ~ pd0_0
| pd0_1
| op(op(e2,e2),op(e2,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f192,plain,
( ~ pd0_0
| pd0_1
| op(op(e2,e3),op(e2,e3)) = e3 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f193,plain,
( ~ pd0_1
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 )
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f187]) ).
fof(f194,plain,
( pd0_2
=> ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 ) ),
introduced(predicate_definition,[f193]) ).
fof(f195,plain,
( ~ pd0_1
| pd0_2
| ( op(op(e1,e0),op(e1,e0)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e3),op(e1,e3)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f193,f194]) ).
fof(f196,plain,
( ~ pd0_1
| pd0_2
| op(op(e1,e0),op(e1,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f197,plain,
( ~ pd0_1
| pd0_2
| op(op(e1,e1),op(e1,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f198,plain,
( ~ pd0_1
| pd0_2
| op(op(e1,e2),op(e1,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f199,plain,
( ~ pd0_1
| pd0_2
| op(op(e1,e3),op(e1,e3)) = e3 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f200,plain,
( ~ pd0_2
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e3),op(e0,e3)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f194]) ).
fof(f201,plain,
( ~ pd0_2
| op(op(e0,e0),op(e0,e0)) = e0 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f202,plain,
( ~ pd0_2
| op(op(e0,e1),op(e0,e1)) = e1 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f203,plain,
( ~ pd0_2
| op(op(e0,e2),op(e0,e2)) = e2 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f204,plain,
( ~ pd0_2
| op(op(e0,e3),op(e0,e3)) = e3 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f205,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f209,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f212,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f205,f208,f211,f214]) ).
fof(f218,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f222,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f218,f221,f224,f227]) ).
fof(f231,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f238,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f241,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f32,f231,f234,f237,f240]) ).
fof(f244,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f254,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f33,f244,f247,f250,f253]) ).
fof(f257,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f257,f260,f263,f266]) ).
fof(f270,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e1,e1) != e0
| spl0_20 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( op(e1,e1) != e1
| spl0_21 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( op(e1,e1) != e2
| spl0_22 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f270,f273,f276,f279]) ).
fof(f283,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f36,f283,f286,f289,f292]) ).
fof(f296,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f296,f299,f302,f305]) ).
fof(f309,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f38,f309,f312,f315,f318]) ).
fof(f322,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f322,f325,f328,f331]) ).
fof(f335,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( op(e2,e2) != e1
| spl0_41 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( op(e2,e2) != e2
| spl0_42 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( op(e2,e2) != e3
| spl0_43 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f335,f338,f341,f344]) ).
fof(f348,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( op(e2,e3) != e0
| spl0_44 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f41,f348,f351,f354,f357]) ).
fof(f361,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f361,f364,f367,f370]) ).
fof(f374,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f43,f374,f377,f380,f383]) ).
fof(f387,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f44,f387,f390,f393,f396]) ).
fof(f400,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( op(e3,e3) != e1
| spl0_61 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f400,f403,f406,f409]) ).
fof(f413,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f205,f218,f231,f244]) ).
fof(f414,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f205,f257,f309,f361]) ).
fof(f415,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f208,f221,f234,f247]) ).
fof(f416,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f208,f260,f312,f364]) ).
fof(f417,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f211,f224,f237,f250]) ).
fof(f418,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f211,f263,f315,f367]) ).
fof(f419,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f214,f227,f240,f253]) ).
fof(f420,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f214,f266,f318,f370]) ).
fof(f421,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f257,f270,f283,f296]) ).
fof(f422,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f218,f270,f322,f374]) ).
fof(f423,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f260,f273,f286,f299]) ).
fof(f424,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f221,f273,f325,f377]) ).
fof(f425,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f263,f276,f289,f302]) ).
fof(f426,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f224,f276,f328,f380]) ).
fof(f427,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f266,f279,f292,f305]) ).
fof(f428,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f227,f279,f331,f383]) ).
fof(f429,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f309,f322,f335,f348]) ).
fof(f430,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f231,f283,f335,f387]) ).
fof(f431,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f312,f325,f338,f351]) ).
fof(f432,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f234,f286,f338,f390]) ).
fof(f433,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f315,f328,f341,f354]) ).
fof(f434,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f237,f289,f341,f393]) ).
fof(f435,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f318,f331,f344,f357]) ).
fof(f436,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f240,f292,f344,f396]) ).
fof(f437,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f361,f374,f387,f400]) ).
fof(f438,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f71,f244,f296,f348,f400]) ).
fof(f439,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f364,f377,f390,f403]) ).
fof(f440,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f247,f299,f351,f403]) ).
fof(f441,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f367,f380,f393,f406]) ).
fof(f442,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f250,f302,f354,f406]) ).
fof(f443,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f370,f383,f396,f409]) ).
fof(f444,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f253,f305,f357,f409]) ).
fof(f445,plain,
( spl0_64
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( spl0_65
<=> op(op(e3,e0),op(e3,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(op(e3,e0),op(e3,e0)) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_64
| spl0_65 ),
inference(split_clause,[status(thm)],[f134,f445,f448]) ).
fof(f452,plain,
( spl0_66
<=> op(op(e3,e1),op(e3,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( op(op(e3,e1),op(e3,e1)) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( op(op(e3,e1),op(e3,e1)) != e1
| spl0_66 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_64
| spl0_66 ),
inference(split_clause,[status(thm)],[f135,f445,f452]) ).
fof(f456,plain,
( spl0_67
<=> op(op(e3,e2),op(e3,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( op(op(e3,e2),op(e3,e2)) = e2
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( op(op(e3,e2),op(e3,e2)) != e2
| spl0_67 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( spl0_64
| spl0_67 ),
inference(split_clause,[status(thm)],[f136,f445,f456]) ).
fof(f460,plain,
( spl0_68
<=> op(op(e3,e3),op(e3,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op(op(e3,e3),op(e3,e3)) = e3
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_64
| spl0_68 ),
inference(split_clause,[status(thm)],[f137,f445,f460]) ).
fof(f464,plain,
( spl0_69
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( e0 = op(e3,op(e3,e3))
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( e0 != op(e3,op(e3,e3))
| spl0_69 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_70
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| spl0_70 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ spl0_69
| ~ spl0_61
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f139,f464,f403,f467]) ).
fof(f471,plain,
( spl0_71
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( e0 = op(e2,op(e2,e2))
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( e0 != op(e2,op(e2,e2))
| spl0_71 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_72
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| spl0_72 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( ~ spl0_71
| ~ spl0_41
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f141,f471,f338,f474]) ).
fof(f478,plain,
( spl0_73
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f480,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| spl0_73 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( ~ spl0_69
| ~ spl0_62
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f143,f464,f406,f478]) ).
fof(f482,plain,
( spl0_74
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( e0 != op(e1,op(e1,e1))
| spl0_74 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( spl0_75
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| spl0_75 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ spl0_74
| ~ spl0_22
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f145,f482,f276,f485]) ).
fof(f489,plain,
( spl0_76
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| spl0_76 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ spl0_71
| ~ spl0_43
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f147,f471,f344,f489]) ).
fof(f493,plain,
( spl0_77
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( ~ spl0_74
| ~ spl0_23
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f149,f482,f279,f493]) ).
fof(f497,plain,
( spl0_78
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( e1 != op(e3,op(e3,e3))
| spl0_78 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( ~ spl0_78
| ~ spl0_60
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f151,f497,f400,f467]) ).
fof(f501,plain,
( spl0_79
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( e1 != op(e2,op(e2,e2))
| spl0_79 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ spl0_79
| ~ spl0_40
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f153,f501,f335,f474]) ).
fof(f505,plain,
( spl0_80
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| spl0_80 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( ~ spl0_78
| ~ spl0_62
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f155,f497,f406,f505]) ).
fof(f509,plain,
( spl0_81
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f511,plain,
( e1 != op(e0,op(e0,e0))
| spl0_81 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_82
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| spl0_82 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ spl0_81
| ~ spl0_2
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f157,f509,f211,f512]) ).
fof(f516,plain,
( spl0_83
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| spl0_83 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( ~ spl0_79
| ~ spl0_43
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f159,f501,f344,f516]) ).
fof(f520,plain,
( spl0_84
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| spl0_84 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( ~ spl0_81
| ~ spl0_3
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f161,f509,f214,f520]) ).
fof(f524,plain,
( spl0_85
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( e2 = op(e3,op(e3,e3))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( e2 != op(e3,op(e3,e3))
| spl0_85 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( ~ spl0_85
| ~ spl0_60
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f163,f524,f400,f478]) ).
fof(f528,plain,
( spl0_86
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( e2 != op(e1,op(e1,e1))
| spl0_86 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ spl0_86
| ~ spl0_20
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f165,f528,f270,f485]) ).
fof(f532,plain,
( ~ spl0_85
| ~ spl0_61
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f167,f524,f403,f505]) ).
fof(f533,plain,
( spl0_87
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( e2 != op(e0,op(e0,e0))
| spl0_87 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ spl0_87
| ~ spl0_1
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f169,f533,f208,f512]) ).
fof(f537,plain,
( spl0_88
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| spl0_88 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ spl0_86
| ~ spl0_23
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f171,f528,f279,f537]) ).
fof(f541,plain,
( spl0_89
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| spl0_89 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f545,plain,
( spl0_90
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( e3 != op(e2,op(e2,e2))
| spl0_90 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f549,plain,
( spl0_91
<=> e3 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( e3 != op(e1,op(e1,e1))
| spl0_91 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( ~ spl0_91
| ~ spl0_20
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f177,f549,f270,f493]) ).
fof(f553,plain,
( ~ spl0_90
| ~ spl0_41
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f179,f545,f338,f516]) ).
fof(f554,plain,
( spl0_92
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( e3 != op(e0,op(e0,e0))
| spl0_92 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ spl0_92
| ~ spl0_1
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f181,f554,f208,f520]) ).
fof(f558,plain,
( ~ spl0_91
| ~ spl0_22
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f183,f549,f276,f537]) ).
fof(f559,plain,
( ~ spl0_92
| ~ spl0_2
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f185,f554,f211,f541]) ).
fof(f560,plain,
( spl0_93
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( spl0_94
<=> op(op(e2,e0),op(e2,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op(op(e2,e0),op(e2,e0)) = e0
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( ~ spl0_64
| spl0_93
| spl0_94 ),
inference(split_clause,[status(thm)],[f189,f445,f560,f563]) ).
fof(f567,plain,
( spl0_95
<=> op(op(e2,e1),op(e2,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( op(op(e2,e1),op(e2,e1)) = e1
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ spl0_64
| spl0_93
| spl0_95 ),
inference(split_clause,[status(thm)],[f190,f445,f560,f567]) ).
fof(f571,plain,
( spl0_96
<=> op(op(e2,e2),op(e2,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op(op(e2,e2),op(e2,e2)) = e2
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ spl0_64
| spl0_93
| spl0_96 ),
inference(split_clause,[status(thm)],[f191,f445,f560,f571]) ).
fof(f575,plain,
( spl0_97
<=> op(op(e2,e3),op(e2,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( op(op(e2,e3),op(e2,e3)) = e3
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ spl0_64
| spl0_93
| spl0_97 ),
inference(split_clause,[status(thm)],[f192,f445,f560,f575]) ).
fof(f579,plain,
( spl0_98
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( spl0_99
<=> op(op(e1,e0),op(e1,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op(op(e1,e0),op(e1,e0)) = e0
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ spl0_93
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f196,f560,f579,f582]) ).
fof(f586,plain,
( spl0_100
<=> op(op(e1,e1),op(e1,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( op(op(e1,e1),op(e1,e1)) = e1
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( op(op(e1,e1),op(e1,e1)) != e1
| spl0_100 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ spl0_93
| spl0_98
| spl0_100 ),
inference(split_clause,[status(thm)],[f197,f560,f579,f586]) ).
fof(f590,plain,
( spl0_101
<=> op(op(e1,e2),op(e1,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op(op(e1,e2),op(e1,e2)) = e2
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( ~ spl0_93
| spl0_98
| spl0_101 ),
inference(split_clause,[status(thm)],[f198,f560,f579,f590]) ).
fof(f594,plain,
( spl0_102
<=> op(op(e1,e3),op(e1,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(op(e1,e3),op(e1,e3)) = e3
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ spl0_93
| spl0_98
| spl0_102 ),
inference(split_clause,[status(thm)],[f199,f560,f579,f594]) ).
fof(f598,plain,
( spl0_103
<=> op(op(e0,e0),op(e0,e0)) = e0 ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( op(op(e0,e0),op(e0,e0)) = e0
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| spl0_103 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ spl0_98
| spl0_103 ),
inference(split_clause,[status(thm)],[f201,f579,f598]) ).
fof(f602,plain,
( spl0_104
<=> op(op(e0,e1),op(e0,e1)) = e1 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( op(op(e0,e1),op(e0,e1)) = e1
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ spl0_98
| spl0_104 ),
inference(split_clause,[status(thm)],[f202,f579,f602]) ).
fof(f606,plain,
( spl0_105
<=> op(op(e0,e2),op(e0,e2)) = e2 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op(op(e0,e2),op(e0,e2)) = e2
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( ~ spl0_98
| spl0_105 ),
inference(split_clause,[status(thm)],[f203,f579,f606]) ).
fof(f610,plain,
( spl0_106
<=> op(op(e0,e3),op(e0,e3)) = e3 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(op(e0,e3),op(e0,e3)) = e3
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ spl0_98
| spl0_106 ),
inference(split_clause,[status(thm)],[f204,f579,f610]) ).
fof(f614,plain,
( op(e0,op(e0,e3)) = e3
| ~ spl0_12
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f245,f611]) ).
fof(f615,plain,
( op(e0,e0) = e3
| ~ spl0_12
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f245,f614]) ).
fof(f619,plain,
( op(e0,op(e0,e2)) = e2
| ~ spl0_8
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f232,f607]) ).
fof(f620,plain,
( op(e0,e0) = e2
| ~ spl0_8
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f232,f619]) ).
fof(f621,plain,
( op(e0,op(e0,e1)) = e1
| ~ spl0_4
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f219,f603]) ).
fof(f622,plain,
( op(e0,e0) = e1
| ~ spl0_4
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f219,f621]) ).
fof(f623,plain,
( op(e1,op(e0,e0)) = e0
| ~ spl0_4
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f622,f599]) ).
fof(f624,plain,
( op(e1,e1) = e0
| ~ spl0_4
| ~ spl0_104
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f622,f623]) ).
fof(f627,plain,
( op(e0,op(e3,e2)) = e2
| ~ spl0_56
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f388,f457]) ).
fof(f628,plain,
( op(e0,e0) = e2
| ~ spl0_56
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f388,f627]) ).
fof(f628_001,plain,
( op(e0,e0) = e2
| ~ spl0_56
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f388,f627]) ).
fof(f629,plain,
( e1 = e2
| ~ spl0_4
| ~ spl0_104
| ~ spl0_56
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f622,f628]) ).
fof(f630,plain,
( $false
| ~ spl0_4
| ~ spl0_104
| ~ spl0_56
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f129]) ).
fof(f631,plain,
( ~ spl0_4
| ~ spl0_104
| ~ spl0_56
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( op(e0,op(e3,e1)) = e1
| ~ spl0_52
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f375,f453]) ).
fof(f633,plain,
( op(e0,e0) = e1
| ~ spl0_52
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f375,f632]) ).
fof(f634,plain,
( op(e0,op(e3,e0)) = e0
| ~ spl0_48
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f362,f449]) ).
fof(f635,plain,
( op(e0,e0) = e0
| ~ spl0_48
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f362,f634]) ).
fof(f636,plain,
( op(e0,op(e1,e3)) = e3
| ~ spl0_28
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f297,f595]) ).
fof(f637,plain,
( op(e0,e0) = e3
| ~ spl0_28
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f297,f636]) ).
fof(f641,plain,
( op(e0,op(e1,e2)) = e2
| ~ spl0_24
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f284,f591]) ).
fof(f642,plain,
( op(e0,e0) = e2
| ~ spl0_24
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f284,f641]) ).
fof(f643,plain,
( op(e0,op(e1,e0)) = e0
| ~ spl0_16
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f258,f583]) ).
fof(f644,plain,
( op(e0,e0) = e0
| ~ spl0_16
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f258,f643]) ).
fof(f645,plain,
( op(e0,op(e2,e3)) = e3
| ~ spl0_44
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f349,f576]) ).
fof(f646,plain,
( op(e0,e0) = e3
| ~ spl0_44
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f349,f645]) ).
fof(f652,plain,
( op(e0,op(e2,e1)) = e1
| ~ spl0_36
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f323,f568]) ).
fof(f653,plain,
( op(e0,e0) = e1
| ~ spl0_36
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f323,f652]) ).
fof(f654,plain,
( op(e0,op(e2,e0)) = e0
| ~ spl0_32
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f310,f564]) ).
fof(f655,plain,
( op(e0,e0) = e0
| ~ spl0_32
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f310,f654]) ).
fof(f662,plain,
( e3 != op(e3,e3)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f358,f101]) ).
fof(f663,plain,
( $false
| ~ spl0_63
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f410]) ).
fof(f664,plain,
( ~ spl0_63
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( e3 != op(e2,e3)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f306,f99]) ).
fof(f670,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f355,f358]) ).
fof(f671,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f131]) ).
fof(f672,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( e2 = e3
| ~ spl0_30
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f303,f306]) ).
fof(f674,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f131]) ).
fof(f675,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f251,f254]) ).
fof(f677,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f131]) ).
fof(f678,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f679,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f394,f397]) ).
fof(f680,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f131]) ).
fof(f681,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f381,f384]) ).
fof(f683,plain,
( $false
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f131]) ).
fof(f684,plain,
( ~ spl0_54
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( e2 = e3
| ~ spl0_50
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f368,f371]) ).
fof(f686,plain,
( $false
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f131]) ).
fof(f687,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f349,f352]) ).
fof(f689,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f126]) ).
fof(f690,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f691,plain,
( e0 = e1
| ~ spl0_28
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f297,f300]) ).
fof(f692,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f126]) ).
fof(f693,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f245,f248]) ).
fof(f695,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f126]) ).
fof(f696,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f695]) ).
fof(f697,plain,
( e0 = e1
| ~ spl0_56
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f388,f391]) ).
fof(f698,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f126]) ).
fof(f699,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( e0 = e1
| ~ spl0_52
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f375,f378]) ).
fof(f701,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f126]) ).
fof(f702,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( e3 != op(e2,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f293,f93]) ).
fof(f704,plain,
( e3 != op(e0,e3)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f241,f107]) ).
fof(f706,plain,
( e3 != op(e2,e1)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f114]) ).
fof(f707,plain,
( e3 != op(e3,e0)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f83]) ).
fof(f708,plain,
( e0 != op(e2,e2)
| ~ spl0_42
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f342,f473]) ).
fof(f713,plain,
( e2 != op(e2,e3)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f342,f119]) ).
fof(f714,plain,
( ~ spl0_46
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f713,f354,f341]) ).
fof(f715,plain,
( e2 != op(e3,e2)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f342,f95]) ).
fof(f716,plain,
( ~ spl0_58
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f715,f393,f341]) ).
fof(f717,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f290,f293]) ).
fof(f718,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f131]) ).
fof(f719,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f238,f241]) ).
fof(f721,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f131]) ).
fof(f722,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
( e2 = e3
| ~ spl0_38
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f329,f332]) ).
fof(f724,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f131]) ).
fof(f725,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( e2 = e3
| ~ spl0_34
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f316,f319]) ).
fof(f727,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f131]) ).
fof(f728,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f284,f287]) ).
fof(f730,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f126]) ).
fof(f731,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f730]) ).
fof(f732,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f232,f235]) ).
fof(f733,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f126]) ).
fof(f734,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f323,f326]) ).
fof(f736,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f126]) ).
fof(f737,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f310,f313]) ).
fof(f739,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f126]) ).
fof(f740,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( e3 != op(e0,e2)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f105]) ).
fof(f743,plain,
( e3 != op(e2,e0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f267,f81]) ).
fof(f744,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f225,f228]) ).
fof(f745,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f131]) ).
fof(f746,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f745]) ).
fof(f747,plain,
( e2 = e3
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f264,f267]) ).
fof(f748,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f131]) ).
fof(f749,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f756,plain,
( e1 != op(e1,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f111]) ).
fof(f757,plain,
( e1 != op(e3,e1)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f88]) ).
fof(f759,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f258,f261]) ).
fof(f760,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f126]) ).
fof(f761,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( op(e2,op(e0,e0)) = e0
| ~ spl0_2
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f212,f599]) ).
fof(f763,plain,
( op(e2,e2) = e0
| ~ spl0_2
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f212,f762]) ).
fof(f766,plain,
( e0 = e1
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f362,f365]) ).
fof(f767,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f126]) ).
fof(f768,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f219,f222]) ).
fof(f770,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f126]) ).
fof(f771,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( e3 != op(e2,e3)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f116]) ).
fof(f773,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f397,f125]) ).
fof(f774,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f773,f409,f396]) ).
fof(f775,plain,
( $false
| ~ spl0_19
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f743]) ).
fof(f776,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( $false
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f756]) ).
fof(f778,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( e3 != op(e3,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f86]) ).
fof(f780,plain,
( ~ spl0_55
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f779,f383,f227]) ).
fof(f781,plain,
( e1 = e2
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f235,f238]) ).
fof(f782,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f129]) ).
fof(f783,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( e3 != op(e0,e3)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f106]) ).
fof(f785,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f784,f253,f227]) ).
fof(f786,plain,
( e3 != op(e2,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f254,f97]) ).
fof(f787,plain,
( ~ spl0_47
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f786,f357,f253]) ).
fof(f796,plain,
( e0 != op(e0,e2)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f103]) ).
fof(f797,plain,
( ~ spl0_8
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f796,f231,f205]) ).
fof(f798,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f102]) ).
fof(f799,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f798,f218,f205]) ).
fof(f802,plain,
( e1 != op(e2,e2)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f326,f117]) ).
fof(f804,plain,
( op(e0,op(e2,e2)) = e2
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f336,f572]) ).
fof(f805,plain,
( op(e0,e0) = e2
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f336,f804]) ).
fof(f805_002,plain,
( op(e0,e0) = e2
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f336,f804]) ).
fof(f806,plain,
( e0 = e2
| ~ spl0_0
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f206,f805]) ).
fof(f807,plain,
( $false
| ~ spl0_0
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f127]) ).
fof(f808,plain,
( ~ spl0_0
| ~ spl0_40
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( $false
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f802]) ).
fof(f810,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f209,f215]) ).
fof(f812,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f130]) ).
fof(f813,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( e0 = e3
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f271,f280]) ).
fof(f815,plain,
( $false
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f128]) ).
fof(f816,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( spl0_1
| ~ spl0_52
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f633,f208,f374,f452]) ).
fof(f819,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f391,f394]) ).
fof(f820,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f129]) ).
fof(f821,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f824,plain,
( e1 != op(e3,e3)
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f352,f101]) ).
fof(f825,plain,
( $false
| ~ spl0_61
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f404]) ).
fof(f826,plain,
( ~ spl0_61
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( e2 != op(e2,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f79]) ).
fof(f829,plain,
( ~ spl0_34
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f828,f315,f211]) ).
fof(f831,plain,
( e2 != op(e0,e2)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f103]) ).
fof(f832,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f831,f237,f211]) ).
fof(f833,plain,
( e2 != op(e0,e3)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f104]) ).
fof(f834,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f833,f250,f211]) ).
fof(f840,plain,
( e3 != op(op(e0,e2),e0)
| ~ spl0_2
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f212,f514]) ).
fof(f841,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f212,f511]) ).
fof(f842,plain,
( op(op(e3,e0),e3) = e0
| ~ spl0_51
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f371,f449]) ).
fof(f844,plain,
( e3 != op(e3,e2)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f121]) ).
fof(f845,plain,
( ~ spl0_59
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f844,f396,f370]) ).
fof(f847,plain,
( spl0_1
| ~ spl0_36
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f653,f208,f322,f567]) ).
fof(f848,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f248,f251]) ).
fof(f849,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f129]) ).
fof(f850,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( e3 != op(e3,e1)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f89]) ).
fof(f852,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f851,f383,f331]) ).
fof(f853,plain,
( e3 != op(e2,e2)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f117]) ).
fof(f854,plain,
( $false
| ~ spl0_43
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f345]) ).
fof(f855,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f858,plain,
( e3 != op(op(e0,e1),e0)
| ~ spl0_1
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f209,f514]) ).
fof(f859,plain,
( e2 != op(e0,e1)
| ~ spl0_1
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f209,f535]) ).
fof(f860,plain,
( e2 != op(op(e0,e1),e0)
| ~ spl0_1
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f209,f522]) ).
fof(f861,plain,
( e3 != op(e0,e1)
| ~ spl0_1
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f209,f556]) ).
fof(f862,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_92 ),
inference(split_clause,[status(thm)],[f861,f227,f208,f554]) ).
fof(f865,plain,
( e1 != op(e0,e2)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f103]) ).
fof(f866,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f102]) ).
fof(f867,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f866,f221,f208]) ).
fof(f868,plain,
( e1 != op(e3,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f80]) ).
fof(f869,plain,
( ~ spl0_49
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f868,f364,f208]) ).
fof(f870,plain,
( e1 != op(e2,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f79]) ).
fof(f872,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f241,f91]) ).
fof(f873,plain,
( spl0_0
| ~ spl0_32
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f655,f205,f309,f563]) ).
fof(f874,plain,
( e1 != op(e3,e3)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f365,f122]) ).
fof(f875,plain,
( e0 != op(e3,e2)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f375,f123]) ).
fof(f876,plain,
( ~ spl0_56
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f875,f387,f374]) ).
fof(f878,plain,
( e3 != op(e3,e3)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f306,f100]) ).
fof(f879,plain,
( ~ spl0_63
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f878,f409,f305]) ).
fof(f881,plain,
( op(e1,op(e0,e0)) = e0
| ~ spl0_1
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f209,f599]) ).
fof(f882,plain,
( op(e1,e1) = e0
| ~ spl0_1
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f209,f881]) ).
fof(f883,plain,
( $false
| spl0_20
| ~ spl0_1
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f272]) ).
fof(f884,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( ~ spl0_39
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f706,f331,f318]) ).
fof(f886,plain,
( ~ spl0_47
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f772,f357,f318]) ).
fof(f887,plain,
( e0 = e3
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f310,f319]) ).
fof(f888,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f128]) ).
fof(f889,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f890,plain,
( op(op(e0,e2),e3) = e2
| ~ spl0_11
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f241,f607]) ).
fof(f891,plain,
( op(e3,e3) = e2
| ~ spl0_11
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f241,f890]) ).
fof(f892,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_11
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f401,f891]) ).
fof(f893,plain,
( $false
| ~ spl0_60
| ~ spl0_11
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f127]) ).
fof(f894,plain,
( ~ spl0_60
| ~ spl0_11
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f703,f344,f292]) ).
fof(f901,plain,
( e0 != op(e2,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f284,f93]) ).
fof(f902,plain,
( e0 != op(e3,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f284,f94]) ).
fof(f903,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f284,f113]) ).
fof(f904,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f362,f122]) ).
fof(f905,plain,
( $false
| ~ spl0_60
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f401]) ).
fof(f906,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f905]) ).
fof(f907,plain,
( e0 != op(e3,e2)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f362,f121]) ).
fof(f912,plain,
( e3 != op(op(e1,e0),e1)
| ~ spl0_20
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f271,f487]) ).
fof(f913,plain,
( op(e0,op(e1,e1)) = e1
| ~ spl0_20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f271,f587]) ).
fof(f914,plain,
( op(e0,e0) = e1
| ~ spl0_20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f271,f913]) ).
fof(f914_003,plain,
( op(e0,e0) = e1
| ~ spl0_20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f271,f913]) ).
fof(f917,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f378,f381]) ).
fof(f918,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f129]) ).
fof(f919,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f922,plain,
( e1 != op(e1,e2)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f90]) ).
fof(f923,plain,
( e1 != op(e2,e2)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f91]) ).
fof(f927,plain,
( e0 = e3
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f258,f267]) ).
fof(f928,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f927,f128]) ).
fof(f929,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( e3 != op(e3,e0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f267,f82]) ).
fof(f932,plain,
( ~ spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f931,f370,f266]) ).
fof(f935,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f704,f253,f240]) ).
fof(f938,plain,
( op(e3,e3) = e0
| ~ spl0_51
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f371,f842]) ).
fof(f939,plain,
( spl0_60
| ~ spl0_51
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f938,f400,f370,f448]) ).
fof(f940,plain,
( op(e3,op(e3,e0)) = e0
| ~ spl0_51
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f371,f449]) ).
fof(f941,plain,
( op(e3,e3) = e0
| ~ spl0_51
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f371,f940]) ).
fof(f944,plain,
( op(op(e3,e3),e2) = e3
| ~ spl0_62
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f407,f461]) ).
fof(f945,plain,
( op(e2,e2) = e3
| ~ spl0_62
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f407,f944]) ).
fof(f946,plain,
( $false
| spl0_43
| ~ spl0_62
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f346]) ).
fof(f947,plain,
( spl0_43
| ~ spl0_62
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( e1 != op(e3,e2)
| ~ spl0_62
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f407,f499]) ).
fof(f949,plain,
( e0 != op(e3,e2)
| ~ spl0_62
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f407,f466]) ).
fof(f950,plain,
( ~ spl0_56
| ~ spl0_62
| spl0_69 ),
inference(split_clause,[status(thm)],[f949,f387,f406,f464]) ).
fof(f952,plain,
( e2 != op(e2,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f225,f85]) ).
fof(f953,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f952,f328,f224]) ).
fof(f959,plain,
( e1 != op(op(e3,e2),e3)
| ~ spl0_62
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f407,f480]) ).
fof(f960,plain,
( ~ spl0_56
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f902,f387,f283]) ).
fof(f962,plain,
( ~ spl0_53
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f757,f377,f273]) ).
fof(f976,plain,
( ~ spl0_56
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f907,f387,f361]) ).
fof(f979,plain,
( e1 != op(e2,e0)
| ~ spl0_20
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f914,f79]) ).
fof(f980,plain,
( ~ spl0_33
| ~ spl0_20
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f979,f312,f270,f586]) ).
fof(f982,plain,
( e1 != op(e0,e2)
| ~ spl0_20
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f914,f103]) ).
fof(f983,plain,
( ~ spl0_9
| ~ spl0_20
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f982,f234,f270,f586]) ).
fof(f984,plain,
( e1 != op(e0,e3)
| ~ spl0_20
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f914,f104]) ).
fof(f985,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f984,f247,f270,f586]) ).
fof(f986,plain,
( e2 != op(e0,e1)
| ~ spl0_20
| ~ spl0_100
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f914,f535]) ).
fof(f987,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_100
| spl0_87 ),
inference(split_clause,[status(thm)],[f986,f224,f270,f586,f533]) ).
fof(f988,plain,
( spl0_1
| ~ spl0_20
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f914,f208,f270,f586]) ).
fof(f996,plain,
( op(op(e1,e1),e2) = e1
| ~ spl0_22
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f277,f587]) ).
fof(f997,plain,
( op(e1,e2) = e1
| ~ spl0_21
| ~ spl0_22
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f274,f996]) ).
fof(f998,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_21
| ~ spl0_22
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f284,f997]) ).
fof(f999,plain,
( $false
| ~ spl0_24
| ~ spl0_21
| ~ spl0_22
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f126]) ).
fof(f1000,plain,
( ~ spl0_24
| ~ spl0_21
| ~ spl0_22
| ~ spl0_100 ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1003,plain,
( e1 != op(e2,e1)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f313,f114]) ).
fof(f1004,plain,
( ~ spl0_37
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1003,f325,f312]) ).
fof(f1005,plain,
( e2 != op(e1,e0)
| ~ spl0_20
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f271,f530]) ).
fof(f1006,plain,
( e0 != op(e1,e3)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f271,f112]) ).
fof(f1007,plain,
( ~ spl0_28
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1006,f296,f270]) ).
fof(f1008,plain,
( e0 != op(e1,e2)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f271,f111]) ).
fof(f1009,plain,
( ~ spl0_24
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1008,f283,f270]) ).
fof(f1010,plain,
( e0 != op(e3,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f271,f88]) ).
fof(f1011,plain,
( ~ spl0_52
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1010,f374,f270]) ).
fof(f1012,plain,
( e1 != op(e0,e3)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f107]) ).
fof(f1013,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1012,f247,f234]) ).
fof(f1015,plain,
( e1 != op(e3,e2)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f92]) ).
fof(f1016,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1015,f390,f234]) ).
fof(f1017,plain,
( op(op(e0,e2),e1) = e2
| ~ spl0_9
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f235,f607]) ).
fof(f1018,plain,
( op(e1,e1) = e2
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f235,f1017]) ).
fof(f1018_004,plain,
( op(e1,e1) = e2
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f235,f1017]) ).
fof(f1019,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f271,f1018]) ).
fof(f1020,plain,
( $false
| ~ spl0_20
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f127]) ).
fof(f1021,plain,
( ~ spl0_20
| ~ spl0_9
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1025,plain,
( e2 != op(e3,e0)
| ~ spl0_7
| ~ spl0_1
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f228,f860]) ).
fof(f1031,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f870,f312,f208]) ).
fof(f1044,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f313,f115]) ).
fof(f1045,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1044,f338,f312]) ).
fof(f1060,plain,
( e0 != op(e3,e0)
| ~ spl0_48
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f635,f80]) ).
fof(f1061,plain,
( ~ spl0_48
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1060,f361,f448]) ).
fof(f1065,plain,
( e1 = e3
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f313,f319]) ).
fof(f1066,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f130]) ).
fof(f1067,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f707,f370,f318]) ).
fof(f1072,plain,
( e0 != op(e2,e3)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f323,f118]) ).
fof(f1073,plain,
( ~ spl0_44
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1072,f348,f322]) ).
fof(f1074,plain,
( e0 != op(e2,e2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f323,f117]) ).
fof(f1074_005,plain,
( e0 != op(e2,e2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f323,f117]) ).
fof(f1075,plain,
( e0 = e2
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f349,f355]) ).
fof(f1076,plain,
( $false
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f127]) ).
fof(f1077,plain,
( ~ spl0_44
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1076]) ).
fof(f1082,plain,
( op(e2,op(e3,e1)) = e1
| ~ spl0_54
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f381,f453]) ).
fof(f1083,plain,
( op(e2,e2) = e1
| ~ spl0_54
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f381,f1082]) ).
fof(f1085,plain,
( e0 != op(op(e3,e1),e3)
| ~ spl0_61
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f404,f507]) ).
fof(f1086,plain,
( e2 != op(e3,e1)
| ~ spl0_61
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f404,f526]) ).
fof(f1087,plain,
( ~ spl0_54
| ~ spl0_61
| spl0_85 ),
inference(split_clause,[status(thm)],[f1086,f380,f403,f524]) ).
fof(f1088,plain,
( e2 != op(e3,e0)
| ~ spl0_92
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f555,f522]) ).
fof(f1089,plain,
( ~ spl0_50
| ~ spl0_92
| spl0_84 ),
inference(split_clause,[status(thm)],[f1088,f367,f554,f520]) ).
fof(f1097,plain,
( spl0_2
| ~ spl0_56
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f628,f211,f387,f456]) ).
fof(f1103,plain,
( $false
| ~ spl0_7
| ~ spl0_1
| spl0_84
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f1025]) ).
fof(f1104,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_84
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1108,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f388,f397]) ).
fof(f1109,plain,
( $false
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f128]) ).
fof(f1110,plain,
( ~ spl0_56
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1113,plain,
( op(e0,op(e3,e2)) != e2
| ~ spl0_56
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f388,f458]) ).
fof(f1114,plain,
( op(e0,e0) != e2
| ~ spl0_56
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f388,f1113]) ).
fof(f1116,plain,
( $false
| ~ spl0_36
| ~ spl0_2
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f1074]) ).
fof(f1117,plain,
( ~ spl0_36
| ~ spl0_2
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1121,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_104
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f624,f270,f218,f602,f598]) ).
fof(f1122,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_81 ),
inference(split_clause,[status(thm)],[f841,f234,f211,f509]) ).
fof(f1126,plain,
( e2 != op(e3,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f80]) ).
fof(f1127,plain,
( ~ spl0_50
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1126,f367,f211]) ).
fof(f1129,plain,
( $false
| ~ spl0_56
| spl0_67
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f1114]) ).
fof(f1130,plain,
( ~ spl0_56
| spl0_67
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1133,plain,
( e1 != op(e3,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f300,f100]) ).
fof(f1134,plain,
( ~ spl0_61
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1133,f403,f299]) ).
fof(f1136,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_86 ),
inference(split_clause,[status(thm)],[f1005,f263,f270,f528]) ).
fof(f1142,plain,
( e1 != op(e3,e1)
| ~ spl0_61
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f404,f499]) ).
fof(f1143,plain,
( ~ spl0_53
| ~ spl0_61
| spl0_78 ),
inference(split_clause,[status(thm)],[f1142,f377,f403,f497]) ).
fof(f1146,plain,
( e0 != op(e2,e1)
| ~ spl0_41
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f339,f473]) ).
fof(f1147,plain,
( $false
| ~ spl0_36
| ~ spl0_41
| spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f323]) ).
fof(f1148,plain,
( ~ spl0_36
| ~ spl0_41
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1156,plain,
( e0 != op(e2,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f271,f87]) ).
fof(f1157,plain,
( ~ spl0_36
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1156,f322,f270]) ).
fof(f1159,plain,
( e2 != op(e1,e3)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f110]) ).
fof(f1160,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1159,f302,f263]) ).
fof(f1161,plain,
( spl0_3
| ~ spl0_12
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f615,f214,f244,f610]) ).
fof(f1162,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f620,f211,f231,f606]) ).
fof(f1163,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f232,f238]) ).
fof(f1164,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f127]) ).
fof(f1165,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f741,f240,f227]) ).
fof(f1167,plain,
( op(e3,op(e0,e1)) = e1
| ~ spl0_7
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f228,f603]) ).
fof(f1168,plain,
( op(e3,e3) = e1
| ~ spl0_7
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f228,f1167]) ).
fof(f1172,plain,
( $false
| ~ spl0_7
| ~ spl0_104
| spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f1168]) ).
fof(f1173,plain,
( ~ spl0_7
| ~ spl0_104
| spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1176,plain,
( e2 != op(e3,e1)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f329,f89]) ).
fof(f1182,plain,
( e0 != op(e1,e2)
| ~ spl0_22
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f277,f484]) ).
fof(f1187,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f212,f215]) ).
fof(f1188,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f131]) ).
fof(f1189,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1188]) ).
fof(f1193,plain,
( e0 != op(e3,e1)
| ~ spl0_61
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f404,f466]) ).
fof(f1194,plain,
( ~ spl0_52
| ~ spl0_61
| spl0_69 ),
inference(split_clause,[status(thm)],[f1193,f374,f403,f464]) ).
fof(f1197,plain,
( e2 != op(op(e3,e1),e3)
| ~ spl0_61
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f404,f469]) ).
fof(f1200,plain,
( e3 != op(e3,e2)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f293,f94]) ).
fof(f1201,plain,
( ~ spl0_59
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1200,f396,f292]) ).
fof(f1204,plain,
( spl0_2
| ~ spl0_24
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f642,f211,f283,f590]) ).
fof(f1205,plain,
( e0 = e3
| ~ spl0_24
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f284,f293]) ).
fof(f1206,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1205,f128]) ).
fof(f1207,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1206]) ).
fof(f1211,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f349,f101]) ).
fof(f1212,plain,
( ~ spl0_60
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1211,f400,f348]) ).
fof(f1215,plain,
( e3 != op(e2,e1)
| ~ spl0_41
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f339,f547]) ).
fof(f1216,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_90 ),
inference(split_clause,[status(thm)],[f1215,f331,f338,f545]) ).
fof(f1217,plain,
( e1 != op(e3,e2)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f339,f95]) ).
fof(f1221,plain,
( e2 != op(e3,e1)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f368,f120]) ).
fof(f1227,plain,
( e2 != op(e3,e0)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f83]) ).
fof(f1228,plain,
( ~ spl0_50
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1227,f367,f315]) ).
fof(f1229,plain,
( e2 != op(e2,e2)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f115]) ).
fof(f1229_006,plain,
( e2 != op(e2,e2)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f115]) ).
fof(f1235,plain,
( e2 = op(e3,e1)
| ~ spl0_61
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f404,f525]) ).
fof(f1236,plain,
( $false
| ~ spl0_50
| ~ spl0_61
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f1221]) ).
fof(f1237,plain,
( ~ spl0_50
| ~ spl0_61
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1243,plain,
( e0 != op(op(e2,e1),e2)
| ~ spl0_41
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f339,f518]) ).
fof(f1246,plain,
( e3 != op(op(e2,e1),e2)
| ~ spl0_41
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f339,f476]) ).
fof(f1250,plain,
( op(op(e1,e1),e1) != e1
| ~ spl0_21
| spl0_100 ),
inference(backward_demodulation,[status(thm)],[f274,f588]) ).
fof(f1251,plain,
( op(e1,e1) != e1
| ~ spl0_21
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f274,f1250]) ).
fof(f1252,plain,
( $false
| ~ spl0_21
| spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f274]) ).
fof(f1253,plain,
( ~ spl0_21
| spl0_100 ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1256,plain,
( ~ spl0_57
| ~ spl0_62
| spl0_78 ),
inference(split_clause,[status(thm)],[f948,f390,f406,f497]) ).
fof(f1257,plain,
( op(e2,op(e0,e2)) = e2
| ~ spl0_10
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f238,f607]) ).
fof(f1258,plain,
( op(e2,e2) = e2
| ~ spl0_10
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f238,f1257]) ).
fof(f1259,plain,
( $false
| ~ spl0_34
| ~ spl0_10
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f1229]) ).
fof(f1260,plain,
( ~ spl0_34
| ~ spl0_10
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1268,plain,
( e0 != op(e2,e3)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f336,f119]) ).
fof(f1269,plain,
( ~ spl0_44
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1268,f348,f335]) ).
fof(f1271,plain,
( e3 != op(e1,e0)
| ~ spl0_20
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f271,f551]) ).
fof(f1272,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_91 ),
inference(split_clause,[status(thm)],[f1271,f266,f270,f549]) ).
fof(f1276,plain,
( e1 != op(e2,e0)
| ~ spl0_40
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f336,f503]) ).
fof(f1277,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1276,f313]) ).
fof(f1278,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( e0 != op(op(e2,e3),e2)
| ~ spl0_43
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f345,f518]) ).
fof(f1283,plain,
( e3 != op(e3,e2)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f345,f95]) ).
fof(f1284,plain,
( ~ spl0_59
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1283,f396,f344]) ).
fof(f1287,plain,
( e0 != op(e3,e1)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f362,f120]) ).
fof(f1288,plain,
( ~ spl0_52
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1287,f374,f361]) ).
fof(f1289,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f254,f96]) ).
fof(f1290,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1289,f305,f253]) ).
fof(f1291,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f248,f254]) ).
fof(f1292,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f130]) ).
fof(f1293,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1302,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f245,f98]) ).
fof(f1303,plain,
( ~ spl0_60
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1302,f400,f244]) ).
fof(f1308,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f872,f344,f240]) ).
fof(f1316,plain,
( e3 != op(e2,e3)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f345,f119]) ).
fof(f1317,plain,
( ~ spl0_47
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1316,f357,f344]) ).
fof(f1320,plain,
( e0 != op(e1,e1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f219,f84]) ).
fof(f1321,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1320,f270,f218]) ).
fof(f1323,plain,
( e0 != op(e3,e1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f219,f86]) ).
fof(f1324,plain,
( e0 != op(e0,e2)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f219,f105]) ).
fof(f1325,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1324,f231,f218]) ).
fof(f1333,plain,
( e1 != op(e3,e2)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f378,f123]) ).
fof(f1334,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1333,f390,f377]) ).
fof(f1338,plain,
( e1 != op(e1,e3)
| ~ spl0_57
| ~ spl0_62
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f391,f959]) ).
fof(f1339,plain,
( ~ spl0_29
| ~ spl0_57
| ~ spl0_62
| spl0_73 ),
inference(split_clause,[status(thm)],[f1338,f299,f390,f406,f478]) ).
fof(f1347,plain,
( e3 != op(e3,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f254,f98]) ).
fof(f1350,plain,
( ~ spl0_57
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1217,f390,f338]) ).
fof(f1354,plain,
( e1 != op(e3,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f391,f125]) ).
fof(f1355,plain,
( ~ spl0_61
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1354,f403,f390]) ).
fof(f1359,plain,
( e0 != op(e2,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f81]) ).
fof(f1362,plain,
( e0 != op(e1,e3)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f110]) ).
fof(f1367,plain,
( ~ spl0_6
| ~ spl0_1
| spl0_87 ),
inference(split_clause,[status(thm)],[f859,f224,f208,f533]) ).
fof(f1370,plain,
( e3 != op(e1,e1)
| ~ spl0_21
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f274,f551]) ).
fof(f1371,plain,
( ~ spl0_23
| ~ spl0_21
| spl0_91 ),
inference(split_clause,[status(thm)],[f1370,f279,f273,f549]) ).
fof(f1383,plain,
( ~ spl0_40
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1074,f335,f322]) ).
fof(f1386,plain,
( e0 != op(e3,e1)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f323,f89]) ).
fof(f1387,plain,
( ~ spl0_52
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1386,f374,f322]) ).
fof(f1411,plain,
( op(e1,op(e3,e3)) = e3
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f404,f461]) ).
fof(f1412,plain,
( op(e1,e1) = e3
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f404,f1411]) ).
fof(f1413,plain,
( e1 = e3
| ~ spl0_21
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f274,f1412]) ).
fof(f1414,plain,
( $false
| ~ spl0_21
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f130]) ).
fof(f1415,plain,
( ~ spl0_21
| ~ spl0_61
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1420,plain,
( e3 != op(e3,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f88]) ).
fof(f1426,plain,
( e0 = e1
| ~ spl0_60
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f401,f404]) ).
fof(f1427,plain,
( $false
| ~ spl0_60
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f126]) ).
fof(f1428,plain,
( ~ spl0_60
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1427]) ).
fof(f1432,plain,
( e2 != op(e3,e3)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f381,f124]) ).
fof(f1433,plain,
( ~ spl0_62
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1432,f406,f380]) ).
fof(f1434,plain,
( e0 != op(e2,e3)
| ~ spl0_54
| ~ spl0_61
| spl0_80 ),
inference(forward_demodulation,[status(thm)],[f381,f1085]) ).
fof(f1435,plain,
( ~ spl0_44
| ~ spl0_54
| ~ spl0_61
| spl0_80 ),
inference(split_clause,[status(thm)],[f1434,f348,f380,f403,f505]) ).
fof(f1439,plain,
( e1 != op(e3,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f248,f98]) ).
fof(f1440,plain,
( ~ spl0_61
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1439,f403,f247]) ).
fof(f1443,plain,
( e3 != op(e1,e1)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f267,f108]) ).
fof(f1445,plain,
( e1 != op(e3,e0)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f82]) ).
fof(f1447,plain,
( e2 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f290,f113]) ).
fof(f1448,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1447,f302,f289]) ).
fof(f1454,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1176,f380,f328]) ).
fof(f1458,plain,
( op(e1,op(e0,e3)) = e3
| ~ spl0_13
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f248,f611]) ).
fof(f1459,plain,
( op(e1,e1) = e3
| ~ spl0_13
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f248,f1458]) ).
fof(f1460,plain,
( $false
| ~ spl0_19
| ~ spl0_13
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f1443]) ).
fof(f1461,plain,
( ~ spl0_19
| ~ spl0_13
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1464,plain,
( e0 != op(e3,e1)
| ~ spl0_91
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f550,f539]) ).
fof(f1465,plain,
( ~ spl0_52
| ~ spl0_91
| spl0_88 ),
inference(split_clause,[status(thm)],[f1464,f374,f549,f537]) ).
fof(f1467,plain,
( e2 != op(e3,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f290,f94]) ).
fof(f1468,plain,
( e2 != op(e2,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f290,f93]) ).
fof(f1469,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1468,f341,f289]) ).
fof(f1472,plain,
( e1 != op(e2,e3)
| ~ spl0_43
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f345,f503]) ).
fof(f1473,plain,
( ~ spl0_45
| ~ spl0_43
| spl0_79 ),
inference(split_clause,[status(thm)],[f1472,f351,f344,f501]) ).
fof(f1475,plain,
( ~ spl0_28
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1362,f296,f257]) ).
fof(f1478,plain,
( e0 != op(e1,e2)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f109]) ).
fof(f1479,plain,
( ~ spl0_24
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1478,f283,f257]) ).
fof(f1486,plain,
( e0 != op(e1,e3)
| ~ spl0_23
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f280,f484]) ).
fof(f1487,plain,
( ~ spl0_28
| ~ spl0_23
| spl0_74 ),
inference(split_clause,[status(thm)],[f1486,f296,f279,f482]) ).
fof(f1488,plain,
( e2 != op(e0,e2)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f225,f105]) ).
fof(f1489,plain,
( ~ spl0_10
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1488,f237,f224]) ).
fof(f1490,plain,
( e2 != op(e1,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f90]) ).
fof(f1491,plain,
( ~ spl0_26
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1490,f289,f237]) ).
fof(f1492,plain,
( e2 != op(e2,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f91]) ).
fof(f1493,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1492,f341,f237]) ).
fof(f1496,plain,
( ~ spl0_55
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1420,f383,f279]) ).
fof(f1498,plain,
( e2 != op(e3,e3)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f368,f122]) ).
fof(f1499,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1498,f406,f367]) ).
fof(f1502,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f901,f335,f283]) ).
fof(f1503,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f903,f296,f283]) ).
fof(f1504,plain,
( e0 = e2
| ~ spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f284,f290]) ).
fof(f1505,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f127]) ).
fof(f1506,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1505]) ).
fof(f1524,plain,
( e3 != op(op(e1,e3),e1)
| ~ spl0_23
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f280,f487]) ).
fof(f1532,plain,
( ~ spl0_25
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f922,f286,f234]) ).
fof(f1533,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f923,f338,f234]) ).
fof(f1534,plain,
( e1 != op(e2,e3)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f339,f119]) ).
fof(f1535,plain,
( ~ spl0_45
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1534,f351,f338]) ).
fof(f1541,plain,
( e0 = op(e2,e3)
| ~ spl0_43
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f345,f472]) ).
fof(f1542,plain,
( $false
| spl0_44
| ~ spl0_43
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f350]) ).
fof(f1543,plain,
( spl0_44
| ~ spl0_43
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ spl0_42
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1229,f341,f315]) ).
fof(f1549,plain,
( ~ spl0_49
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1445,f364,f260]) ).
fof(f1550,plain,
( e1 != op(e1,e3)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f110]) ).
fof(f1551,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1550,f299,f260]) ).
fof(f1552,plain,
( e1 != op(e1,e1)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f108]) ).
fof(f1553,plain,
( ~ spl0_21
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1552,f273,f260]) ).
fof(f1557,plain,
( e3 = op(e1,e3)
| ~ spl0_23
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f280,f550]) ).
fof(f1558,plain,
( e3 = e1
| ~ spl0_29
| ~ spl0_23
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f300,f1557]) ).
fof(f1559,plain,
( $false
| ~ spl0_29
| ~ spl0_23
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f1558,f130]) ).
fof(f1560,plain,
( ~ spl0_29
| ~ spl0_23
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( e3 != op(e2,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f87]) ).
fof(f1571,plain,
( e2 != op(e3,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f82]) ).
fof(f1572,plain,
( ~ spl0_50
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1571,f367,f263]) ).
fof(f1581,plain,
( e3 != op(e1,e1)
| ~ spl0_29
| ~ spl0_23
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f300,f1524]) ).
fof(f1582,plain,
( $false
| ~ spl0_29
| ~ spl0_23
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f280]) ).
fof(f1583,plain,
( ~ spl0_29
| ~ spl0_23
| spl0_75 ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1588,plain,
( e0 = op(e2,e0)
| ~ spl0_40
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f336,f472]) ).
fof(f1589,plain,
( $false
| ~ spl0_16
| ~ spl0_40
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1588,f1359]) ).
fof(f1590,plain,
( ~ spl0_16
| ~ spl0_40
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1589]) ).
fof(f1599,plain,
( e3 != op(e3,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f254,f98]) ).
fof(f1600,plain,
( ~ spl0_63
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1599,f409,f253]) ).
fof(f1602,plain,
( e3 = op(e1,e1)
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f274,f550]) ).
fof(f1603,plain,
( e3 = e1
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f274,f1602]) ).
fof(f1604,plain,
( $false
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f1603,f130]) ).
fof(f1605,plain,
( ~ spl0_21
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1608,plain,
( e1 != op(e1,e3)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f112]) ).
fof(f1609,plain,
( ~ spl0_29
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1608,f299,f273]) ).
fof(f1623,plain,
( op(e3,op(e0,e3)) = e3
| ~ spl0_15
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f254,f611]) ).
fof(f1624,plain,
( op(e3,e3) = e3
| ~ spl0_15
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f254,f1623]) ).
fof(f1625,plain,
( $false
| ~ spl0_15
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f1347]) ).
fof(f1626,plain,
( ~ spl0_15
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1647,plain,
( op(op(e3,e3),e0) = e3
| ~ spl0_51
| ~ spl0_65
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f941,f461]) ).
fof(f1652,plain,
( op(op(e3,e1),e1) = e1
| ~ spl0_53
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f378,f453]) ).
fof(f1654,plain,
( ~ spl0_58
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1467,f393,f289]) ).
fof(f1664,plain,
( e0 = e3
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f336,f345]) ).
fof(f1665,plain,
( $false
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f128]) ).
fof(f1666,plain,
( ~ spl0_40
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1667,plain,
( ~ spl0_39
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1561,f331,f279]) ).
fof(f1668,plain,
( e3 != op(e1,e2)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f111]) ).
fof(f1669,plain,
( ~ spl0_27
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1668,f292,f279]) ).
fof(f1676,plain,
( e3 != op(e3,e3)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f122]) ).
fof(f1677,plain,
( ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1676,f409,f370]) ).
fof(f1678,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f212,f556]) ).
fof(f1679,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_92 ),
inference(split_clause,[status(thm)],[f1678,f240,f211,f554]) ).
fof(f1682,plain,
( e2 != op(e0,e1)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f102]) ).
fof(f1683,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1682,f224,f211]) ).
fof(f1686,plain,
( op(e0,e0) = e3
| ~ spl0_60
| ~ spl0_51
| ~ spl0_65
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f401,f1647]) ).
fof(f1687,plain,
( spl0_3
| ~ spl0_60
| ~ spl0_51
| ~ spl0_65
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f1686,f214,f400,f370,f448,f460]) ).
fof(f1688,plain,
( op(op(e3,e3),e0) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f401,f461]) ).
fof(f1689,plain,
( op(e0,e0) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f401,f1688]) ).
fof(f1690,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f212,f1689]) ).
fof(f1691,plain,
( $false
| ~ spl0_2
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1690,f131]) ).
fof(f1692,plain,
( ~ spl0_2
| ~ spl0_60
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1691]) ).
fof(f1693,plain,
( e2 != op(op(e3,e0),e3)
| ~ spl0_60
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f401,f469]) ).
fof(f1699,plain,
( spl0_41
| ~ spl0_54
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1083,f338,f380,f452]) ).
fof(f1705,plain,
( e1 != op(op(e2,e0),e2)
| ~ spl0_40
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f336,f491]) ).
fof(f1707,plain,
( e0 != op(op(e2,e0),e2)
| ~ spl0_40
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f336,f518]) ).
fof(f1717,plain,
( op(op(e3,e2),e3) = e2
| ~ spl0_59
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f397,f457]) ).
fof(f1727,plain,
( op(e3,e3) = e2
| ~ spl0_59
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f397,f1717]) ).
fof(f1728,plain,
( spl0_62
| ~ spl0_59
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1727,f406,f396,f456]) ).
fof(f1729,plain,
( op(op(e3,e2),e3) = e2
| ~ spl0_59
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f397,f457]) ).
fof(f1730,plain,
( op(e3,e3) = e2
| ~ spl0_59
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f397,f1729]) ).
fof(f1731,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_59
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f401,f1730]) ).
fof(f1732,plain,
( $false
| ~ spl0_60
| ~ spl0_59
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1731,f127]) ).
fof(f1733,plain,
( ~ spl0_60
| ~ spl0_59
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1734,plain,
( op(op(e0,e0),e3) != e0
| ~ spl0_60
| ~ spl0_68
| spl0_103 ),
inference(backward_demodulation,[status(thm)],[f1689,f600]) ).
fof(f1735,plain,
( op(e3,e3) != e0
| ~ spl0_60
| ~ spl0_68
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f1689,f1734]) ).
fof(f1736,plain,
( $false
| ~ spl0_60
| ~ spl0_68
| spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f401]) ).
fof(f1737,plain,
( ~ spl0_60
| ~ spl0_68
| spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1738,plain,
( ~ spl0_52
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1323,f374,f218]) ).
fof(f1746,plain,
( op(e3,op(e3,e1)) = e1
| ~ spl0_55
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f384,f453]) ).
fof(f1747,plain,
( op(e3,e3) = e1
| ~ spl0_55
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f384,f1746]) ).
fof(f1748,plain,
( e2 != op(e3,e2)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f368,f121]) ).
fof(f1749,plain,
( ~ spl0_58
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1748,f393,f367]) ).
fof(f1753,plain,
( e2 != op(e2,e1)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f277,f87]) ).
fof(f1754,plain,
( ~ spl0_38
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1753,f328,f276]) ).
fof(f1755,plain,
( e2 != op(e1,e2)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f277,f111]) ).
fof(f1761,plain,
( op(e2,op(e3,e2)) = e2
| ~ spl0_58
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f394,f457]) ).
fof(f1762,plain,
( op(e2,e2) = e2
| ~ spl0_58
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f394,f1761]) ).
fof(f1763,plain,
( $false
| spl0_42
| ~ spl0_58
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f343]) ).
fof(f1764,plain,
( spl0_42
| ~ spl0_58
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1763]) ).
fof(f1765,plain,
( e0 = op(e3,e1)
| ~ spl0_61
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f404,f465]) ).
fof(f1766,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f98]) ).
fof(f1767,plain,
( ~ spl0_62
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1766,f406,f250]) ).
fof(f1768,plain,
( e3 != op(e1,e2)
| ~ spl0_22
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f277,f551]) ).
fof(f1769,plain,
( ~ spl0_27
| ~ spl0_22
| spl0_91 ),
inference(split_clause,[status(thm)],[f1768,f292,f276,f549]) ).
fof(f1779,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f108]) ).
fof(f1780,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1779,f276,f263]) ).
fof(f1782,plain,
( e1 = e2
| ~ spl0_17
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f261,f264]) ).
fof(f1783,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1782,f129]) ).
fof(f1784,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1788,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f1018,f276,f234,f606]) ).
fof(f1789,plain,
( e1 != op(e3,e0)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f313,f83]) ).
fof(f1805,plain,
( op(op(e0,e2),e1) = e2
| ~ spl0_9
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f235,f607]) ).
fof(f1806,plain,
( op(e1,e1) = e2
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f235,f1805]) ).
fof(f1809,plain,
( e2 != op(e0,e3)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f225,f106]) ).
fof(f1810,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1809,f250,f224]) ).
fof(f1811,plain,
( op(op(e0,e1),e2) = e1
| ~ spl0_6
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f225,f603]) ).
fof(f1812,plain,
( op(e2,e2) = e1
| ~ spl0_6
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f225,f1811]) ).
fof(f1813,plain,
( $false
| spl0_41
| ~ spl0_6
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f340]) ).
fof(f1814,plain,
( spl0_41
| ~ spl0_6
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( e0 != op(e3,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f82]) ).
fof(f1816,plain,
( ~ spl0_48
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1815,f361,f257]) ).
fof(f1841,plain,
( e0 != op(e0,e3)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f107]) ).
fof(f1842,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1841,f244,f231]) ).
fof(f1854,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f209,f212]) ).
fof(f1855,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1854,f129]) ).
fof(f1856,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1855]) ).
fof(f1858,plain,
( op(op(e3,e1),e2) != e1
| ~ spl0_54
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f381,f454]) ).
fof(f1860,plain,
( e3 != op(op(e2,e0),e2)
| ~ spl0_40
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f336,f476]) ).
fof(f1863,plain,
( e1 = e2
| ~ spl0_21
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f274,f1806]) ).
fof(f1864,plain,
( $false
| ~ spl0_21
| ~ spl0_9
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1863,f129]) ).
fof(f1865,plain,
( ~ spl0_21
| ~ spl0_9
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1864]) ).
fof(f1869,plain,
( op(e2,op(e0,e3)) = e3
| ~ spl0_14
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f251,f611]) ).
fof(f1870,plain,
( op(e2,e2) = e3
| ~ spl0_14
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f251,f1869]) ).
fof(f1873,plain,
( $false
| ~ spl0_14
| ~ spl0_106
| spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f1870]) ).
fof(f1874,plain,
( ~ spl0_14
| ~ spl0_106
| spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1873]) ).
fof(f1879,plain,
( e3 != op(e0,e1)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f102]) ).
fof(f1880,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1879,f227,f214]) ).
fof(f1881,plain,
( e3 != op(e3,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f80]) ).
fof(f1882,plain,
( ~ spl0_51
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1881,f370,f214]) ).
fof(f1883,plain,
( e3 != op(e2,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f79]) ).
fof(f1885,plain,
( e0 = e3
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f206,f215]) ).
fof(f1886,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1885,f128]) ).
fof(f1887,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1888,plain,
( e1 != op(e0,e3)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f106]) ).
fof(f1889,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1888,f247,f221]) ).
fof(f1893,plain,
( e1 != op(e1,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f84]) ).
fof(f1894,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1893,f273,f221]) ).
fof(f1900,plain,
( e0 != op(e2,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f79]) ).
fof(f1901,plain,
( ~ spl0_32
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1900,f309,f205]) ).
fof(f1910,plain,
( e3 = op(e0,e0)
| ~ spl0_0
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f206,f555]) ).
fof(f1911,plain,
( e3 = e0
| ~ spl0_0
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f206,f1910]) ).
fof(f1912,plain,
( $false
| ~ spl0_0
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f128]) ).
fof(f1913,plain,
( ~ spl0_0
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f241,f90]) ).
fof(f1915,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1914,f292,f240]) ).
fof(f1928,plain,
( e1 != op(e2,e1)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f87]) ).
fof(f1929,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1928,f325,f273]) ).
fof(f1934,plain,
( e3 != op(e3,e3)
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f384,f124]) ).
fof(f1935,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1934,f409,f383]) ).
fof(f1939,plain,
( e0 = e3
| ~ spl0_52
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f375,f384]) ).
fof(f1940,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1939,f128]) ).
fof(f1941,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1958,plain,
( op(e1,op(e3,e2)) = e2
| ~ spl0_57
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f391,f457]) ).
fof(f1959,plain,
( op(e1,e1) = e2
| ~ spl0_57
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f391,f1958]) ).
fof(f1960,plain,
( $false
| spl0_22
| ~ spl0_57
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1959,f278]) ).
fof(f1961,plain,
( spl0_22
| ~ spl0_57
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1973,plain,
( e0 != op(e0,e3)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f104]) ).
fof(f1974,plain,
( ~ spl0_12
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1973,f244,f205]) ).
fof(f1976,plain,
( op(op(e2,e0),e1) = e0
| ~ spl0_33
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f313,f564]) ).
fof(f1977,plain,
( op(e1,e1) = e0
| ~ spl0_33
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f313,f1976]) ).
fof(f1978,plain,
( $false
| spl0_20
| ~ spl0_33
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f272]) ).
fof(f1979,plain,
( spl0_20
| ~ spl0_33
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
( spl0_3
| ~ spl0_44
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f646,f214,f348,f575]) ).
fof(f1982,plain,
( op(e2,op(e2,e1)) = e1
| ~ spl0_38
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f329,f568]) ).
fof(f1983,plain,
( op(e2,e2) = e1
| ~ spl0_38
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f329,f1982]) ).
fof(f1984,plain,
( op(e1,op(e2,e2)) = e2
| ~ spl0_38
| ~ spl0_95
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f1983,f572]) ).
fof(f1985,plain,
( op(e1,e1) = e2
| ~ spl0_38
| ~ spl0_95
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f1983,f1984]) ).
fof(f1986,plain,
( $false
| spl0_22
| ~ spl0_38
| ~ spl0_95
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f278]) ).
fof(f1987,plain,
( spl0_22
| ~ spl0_38
| ~ spl0_95
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1995,plain,
( op(op(e2,e0),e2) = e0
| ~ spl0_34
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f316,f564]) ).
fof(f1996,plain,
( op(e2,e2) = e0
| ~ spl0_34
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f316,f1995]) ).
fof(f1996_007,plain,
( op(e2,e2) = e0
| ~ spl0_34
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f316,f1995]) ).
fof(f2002,plain,
( e0 != op(e2,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f91]) ).
fof(f2003,plain,
( $false
| ~ spl0_34
| ~ spl0_94
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f1996]) ).
fof(f2004,plain,
( ~ spl0_34
| ~ spl0_94
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2010,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1883,f318,f214]) ).
fof(f2011,plain,
( e1 != op(e0,e3)
| ~ spl0_3
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f215,f511]) ).
fof(f2012,plain,
( ~ spl0_61
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f874,f403,f364]) ).
fof(f2016,plain,
( e2 != op(e0,e3)
| ~ spl0_69
| ~ spl0_61
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f1765,f1197]) ).
fof(f2017,plain,
( ~ spl0_14
| ~ spl0_69
| ~ spl0_61
| spl0_70 ),
inference(split_clause,[status(thm)],[f2016,f250,f464,f403,f467]) ).
fof(f2018,plain,
( e1 != op(e2,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f85]) ).
fof(f2019,plain,
( ~ spl0_37
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2018,f325,f221]) ).
fof(f2028,plain,
( ~ spl0_47
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f666,f357,f305]) ).
fof(f2032,plain,
( e0 != op(e3,e2)
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f332,f1243]) ).
fof(f2033,plain,
( ~ spl0_56
| ~ spl0_39
| ~ spl0_41
| spl0_83 ),
inference(split_clause,[status(thm)],[f2032,f387,f331,f338,f516]) ).
fof(f2038,plain,
( e3 != op(e0,e2)
| ~ spl0_36
| ~ spl0_41
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f323,f1246]) ).
fof(f2039,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_41
| spl0_72 ),
inference(split_clause,[status(thm)],[f2038,f240,f322,f338,f474]) ).
fof(f2045,plain,
( spl0_40
| ~ spl0_34
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1996,f335,f315,f563]) ).
fof(f2052,plain,
( op(e2,e2) != e1
| ~ spl0_54
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f381,f1858]) ).
fof(f2053,plain,
( ~ spl0_41
| ~ spl0_54
| spl0_66 ),
inference(split_clause,[status(thm)],[f2052,f338,f380,f452]) ).
fof(f2058,plain,
( e3 != op(e2,e3)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f118]) ).
fof(f2059,plain,
( ~ spl0_47
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2058,f357,f331]) ).
fof(f2066,plain,
( op(e3,op(e2,e3)) = e3
| ~ spl0_47
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f358,f576]) ).
fof(f2067,plain,
( op(e3,e3) = e3
| ~ spl0_47
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f358,f2066]) ).
fof(f2068,plain,
( e1 = e3
| ~ spl0_61
| ~ spl0_47
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f404,f2067]) ).
fof(f2069,plain,
( $false
| ~ spl0_61
| ~ spl0_47
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f2068,f130]) ).
fof(f2070,plain,
( ~ spl0_61
| ~ spl0_47
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f2069]) ).
fof(f2072,plain,
( ~ spl0_9
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f865,f234,f208]) ).
fof(f2080,plain,
( op(op(e2,e1),e3) = e1
| ~ spl0_39
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f332,f568]) ).
fof(f2081,plain,
( op(e3,e3) = e1
| ~ spl0_39
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f332,f2080]) ).
fof(f2081_008,plain,
( op(e3,e3) = e1
| ~ spl0_39
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f332,f2080]) ).
fof(f2082,plain,
( e1 != op(e2,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f300,f99]) ).
fof(f2083,plain,
( ~ spl0_45
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f2082,f351,f299]) ).
fof(f2087,plain,
( e1 != op(e3,e3)
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f352,f101]) ).
fof(f2088,plain,
( $false
| ~ spl0_39
| ~ spl0_95
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f2087,f2081]) ).
fof(f2089,plain,
( ~ spl0_39
| ~ spl0_95
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f2088]) ).
fof(f2090,plain,
( e2 != op(e1,e1)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f225,f84]) ).
fof(f2091,plain,
( ~ spl0_22
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f2090,f276,f224]) ).
fof(f2096,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_81 ),
inference(split_clause,[status(thm)],[f2011,f247,f214,f509]) ).
fof(f2102,plain,
( spl0_61
| ~ spl0_55
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1747,f403,f383,f452]) ).
fof(f2104,plain,
( e0 = e2
| ~ spl0_20
| ~ spl0_57
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f271,f1959]) ).
fof(f2105,plain,
( $false
| ~ spl0_20
| ~ spl0_57
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2104,f127]) ).
fof(f2106,plain,
( ~ spl0_20
| ~ spl0_57
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2116,plain,
( spl0_2
| ~ spl0_40
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f805,f211,f335,f571]) ).
fof(f2121,plain,
( op(e1,op(e2,e1)) = e1
| ~ spl0_37
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f326,f568]) ).
fof(f2122,plain,
( op(e1,e1) = e1
| ~ spl0_37
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f326,f2121]) ).
fof(f2123,plain,
( $false
| spl0_21
| ~ spl0_37
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2122,f275]) ).
fof(f2124,plain,
( spl0_21
| ~ spl0_37
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2123]) ).
fof(f2127,plain,
( e0 != op(e0,e3)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f219,f106]) ).
fof(f2128,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f2127,f244,f218]) ).
fof(f2143,plain,
( e1 != op(e3,e1)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f365,f120]) ).
fof(f2144,plain,
( ~ spl0_53
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2143,f377,f364]) ).
fof(f2146,plain,
( op(e1,e1) = e1
| ~ spl0_53
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f378,f1652]) ).
fof(f2147,plain,
( spl0_21
| ~ spl0_53
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f2146,f273,f377,f452]) ).
fof(f2152,plain,
( e1 != op(e3,e1)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f326,f89]) ).
fof(f2153,plain,
( ~ spl0_53
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2152,f377,f325]) ).
fof(f2158,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f326,f329]) ).
fof(f2159,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2158,f129]) ).
fof(f2160,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2159]) ).
fof(f2162,plain,
( e3 != op(e2,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f85]) ).
fof(f2163,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2162,f331,f227]) ).
fof(f2177,plain,
( spl0_3
| ~ spl0_28
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f637,f214,f296,f594]) ).
fof(f2181,plain,
( e0 != op(e1,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f78]) ).
fof(f2184,plain,
( op(e0,op(e0,e0)) != e0
| ~ spl0_0
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f206,f600]) ).
fof(f2185,plain,
( op(e0,e0) != e0
| ~ spl0_0
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f206,f2184]) ).
fof(f2186,plain,
( $false
| ~ spl0_0
| spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f206]) ).
fof(f2187,plain,
( ~ spl0_0
| spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2186]) ).
fof(f2190,plain,
( e2 != op(e2,e3)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f116]) ).
fof(f2191,plain,
( ~ spl0_46
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2190,f354,f315]) ).
fof(f2196,plain,
( e0 != op(e2,e2)
| ~ spl0_34
| ~ spl0_40
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f316,f1707]) ).
fof(f2197,plain,
( ~ spl0_40
| ~ spl0_34
| spl0_83 ),
inference(split_clause,[status(thm)],[f2196,f335,f315,f516]) ).
fof(f2207,plain,
( e1 != op(e2,e2)
| ~ spl0_34
| ~ spl0_40
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f316,f1705]) ).
fof(f2208,plain,
( ~ spl0_41
| ~ spl0_34
| ~ spl0_40
| spl0_76 ),
inference(split_clause,[status(thm)],[f2207,f338,f315,f335,f489]) ).
fof(f2217,plain,
( op(e2,op(e1,e3)) = e3
| ~ spl0_30
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f303,f595]) ).
fof(f2218,plain,
( op(e2,e2) = e3
| ~ spl0_30
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f303,f2217]) ).
fof(f2219,plain,
( $false
| spl0_43
| ~ spl0_30
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2218,f346]) ).
fof(f2220,plain,
( spl0_43
| ~ spl0_30
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2224,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f365,f368]) ).
fof(f2225,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f2224,f129]) ).
fof(f2226,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f2225]) ).
fof(f2228,plain,
( e2 != op(e1,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f96]) ).
fof(f2229,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2228,f302,f250]) ).
fof(f2237,plain,
( e0 != op(e3,e0)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f310,f83]) ).
fof(f2238,plain,
( ~ spl0_48
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f2237,f361,f309]) ).
fof(f2239,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f310,f316]) ).
fof(f2240,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f127]) ).
fof(f2241,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2244,plain,
( e3 != op(e3,e3)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f306,f100]) ).
fof(f2246,plain,
( op(e3,op(e1,e3)) = e3
| ~ spl0_31
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f306,f595]) ).
fof(f2247,plain,
( op(e3,e3) = e3
| ~ spl0_31
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f306,f2246]) ).
fof(f2248,plain,
( $false
| ~ spl0_31
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2247,f2244]) ).
fof(f2249,plain,
( ~ spl0_31
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2248]) ).
fof(f2250,plain,
( e2 != op(e2,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f97]) ).
fof(f2251,plain,
( ~ spl0_46
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2250,f354,f250]) ).
fof(f2259,plain,
( ~ spl0_26
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1755,f289,f276]) ).
fof(f2263,plain,
( e1 = e3
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f261,f267]) ).
fof(f2264,plain,
( $false
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f2263,f130]) ).
fof(f2265,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2264]) ).
fof(f2283,plain,
( e0 != op(e3,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f92]) ).
fof(f2286,plain,
( e3 != op(e2,e0)
| ~ spl0_6
| ~ spl0_1
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f225,f858]) ).
fof(f2287,plain,
( $false
| ~ spl0_35
| ~ spl0_6
| ~ spl0_1
| spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2286,f319]) ).
fof(f2288,plain,
( ~ spl0_35
| ~ spl0_6
| ~ spl0_1
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2305,plain,
( op(op(e2,e0),e3) = e0
| ~ spl0_35
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f319,f564]) ).
fof(f2306,plain,
( op(e3,e3) = e0
| ~ spl0_35
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f319,f2305]) ).
fof(f2310,plain,
( e0 = e3
| ~ spl0_35
| ~ spl0_94
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f2306,f410]) ).
fof(f2311,plain,
( $false
| ~ spl0_35
| ~ spl0_94
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2310,f128]) ).
fof(f2312,plain,
( ~ spl0_35
| ~ spl0_94
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f2315,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f362,f122]) ).
fof(f2316,plain,
( $false
| ~ spl0_35
| ~ spl0_94
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f2306]) ).
fof(f2317,plain,
( ~ spl0_35
| ~ spl0_94
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2323,plain,
( e3 != op(e2,e1)
| ~ spl0_18
| ~ spl0_20
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f264,f912]) ).
fof(f2324,plain,
( ~ spl0_39
| ~ spl0_18
| ~ spl0_20
| spl0_75 ),
inference(split_clause,[status(thm)],[f2323,f331,f263,f270,f485]) ).
fof(f2334,plain,
( e1 != op(e3,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f86]) ).
fof(f2343,plain,
( ~ spl0_49
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1789,f364,f312]) ).
fof(f2346,plain,
( ~ spl0_56
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2283,f387,f231]) ).
fof(f2351,plain,
( e0 != op(e1,e1)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f108]) ).
fof(f2352,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f2351,f270,f257]) ).
fof(f2390,plain,
( e3 != op(e1,e2)
| ~ spl0_33
| ~ spl0_40
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f313,f1860]) ).
fof(f2391,plain,
( $false
| ~ spl0_27
| ~ spl0_33
| ~ spl0_40
| spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f293]) ).
fof(f2392,plain,
( ~ spl0_27
| ~ spl0_33
| ~ spl0_40
| spl0_72 ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2393,plain,
( op(e2,op(e1,e0)) = e0
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f264,f583]) ).
fof(f2394,plain,
( op(e2,e2) = e0
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f264,f2393]) ).
fof(f2394_009,plain,
( op(e2,e2) = e0
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f264,f2393]) ).
fof(f2399,plain,
( $false
| ~ spl0_18
| ~ spl0_99
| ~ spl0_42
| spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f2394]) ).
fof(f2400,plain,
( ~ spl0_18
| ~ spl0_99
| ~ spl0_42
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2399]) ).
fof(f2415,plain,
( e1 != op(e3,e0)
| ~ spl0_60
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f401,f499]) ).
fof(f2416,plain,
( $false
| ~ spl0_49
| ~ spl0_60
| spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2415,f365]) ).
fof(f2417,plain,
( ~ spl0_49
| ~ spl0_60
| spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2416]) ).
fof(f2418,plain,
( e2 != op(e1,e3)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f277,f112]) ).
fof(f2423,plain,
( ~ spl0_24
| ~ spl0_22
| spl0_74 ),
inference(split_clause,[status(thm)],[f1182,f283,f276,f482]) ).
fof(f2436,plain,
( e3 = op(e1,e2)
| ~ spl0_22
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f277,f550]) ).
fof(f2437,plain,
( spl0_27
| ~ spl0_22
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2436,f292,f276,f549]) ).
fof(f2444,plain,
( op(e2,op(e2,e3)) = e3
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f355,f576]) ).
fof(f2445,plain,
( op(e2,e2) = e3
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f355,f2444]) ).
fof(f2446,plain,
( ~ spl0_53
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2334,f377,f221]) ).
fof(f2450,plain,
( e1 != op(e3,e0)
| ~ spl0_92
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f555,f543]) ).
fof(f2452,plain,
( spl0_61
| ~ spl0_39
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2081,f403,f331,f567]) ).
fof(f2456,plain,
( $false
| ~ spl0_46
| ~ spl0_97
| spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f2445]) ).
fof(f2457,plain,
( ~ spl0_46
| ~ spl0_97
| spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2459,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f362,f122]) ).
fof(f2462,plain,
( op(op(e1,e0),e3) = e0
| ~ spl0_19
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f267,f583]) ).
fof(f2463,plain,
( op(e3,e3) = e0
| ~ spl0_19
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f267,f2462]) ).
fof(f2464,plain,
( $false
| ~ spl0_48
| ~ spl0_19
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f2459]) ).
fof(f2465,plain,
( ~ spl0_48
| ~ spl0_19
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2466,plain,
( e0 != op(e2,e3)
| ~ spl0_43
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f345,f473]) ).
fof(f2467,plain,
( ~ spl0_44
| ~ spl0_43
| spl0_71 ),
inference(split_clause,[status(thm)],[f2466,f348,f344,f471]) ).
fof(f2470,plain,
( e0 != op(e0,e2)
| ~ spl0_44
| ~ spl0_43
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f349,f1280]) ).
fof(f2471,plain,
( ~ spl0_8
| ~ spl0_44
| ~ spl0_43
| spl0_83 ),
inference(split_clause,[status(thm)],[f2470,f231,f348,f344,f516]) ).
fof(f2495,plain,
( spl0_0
| ~ spl0_16
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f644,f205,f257,f582]) ).
fof(f2506,plain,
( e2 != op(e3,e0)
| ~ spl0_60
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f401,f526]) ).
fof(f2507,plain,
( ~ spl0_50
| ~ spl0_60
| spl0_85 ),
inference(split_clause,[status(thm)],[f2506,f367,f400,f524]) ).
fof(f2515,plain,
( op(op(e1,e2),e2) = e2
| ~ spl0_26
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f290,f591]) ).
fof(f2516,plain,
( op(e2,e2) = e2
| ~ spl0_26
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f290,f2515]) ).
fof(f2517,plain,
( $false
| spl0_42
| ~ spl0_26
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2516,f343]) ).
fof(f2518,plain,
( spl0_42
| ~ spl0_26
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( e1 != op(e2,e3)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f326,f118]) ).
fof(f2521,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2520,f351,f325]) ).
fof(f2538,plain,
( e1 = op(e2,e2)
| ~ spl0_42
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f342,f502]) ).
fof(f2539,plain,
( $false
| spl0_41
| ~ spl0_42
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2538,f340]) ).
fof(f2540,plain,
( spl0_41
| ~ spl0_42
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f2539]) ).
fof(f2548,plain,
( e2 != op(e2,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f303,f99]) ).
fof(f2549,plain,
( ~ spl0_46
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2548,f354,f302]) ).
fof(f2557,plain,
( ~ spl0_30
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2418,f302,f276]) ).
fof(f2558,plain,
( op(op(e1,e1),e2) = e1
| ~ spl0_22
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f277,f587]) ).
fof(f2559,plain,
( op(e2,e2) = e1
| ~ spl0_22
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f277,f2558]) ).
fof(f2560,plain,
( $false
| spl0_41
| ~ spl0_22
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f2559,f340]) ).
fof(f2561,plain,
( spl0_41
| ~ spl0_22
| ~ spl0_100 ),
inference(contradiction_clause,[status(thm)],[f2560]) ).
fof(f2571,plain,
( e0 != op(e2,e2)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f310,f115]) ).
fof(f2581,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f297,f100]) ).
fof(f2584,plain,
( spl0_40
| ~ spl0_18
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f2394,f335,f263,f582]) ).
fof(f2588,plain,
( op(e2,op(e1,e0)) = e0
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f264,f583]) ).
fof(f2589,plain,
( op(e2,e2) = e0
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f264,f2588]) ).
fof(f2590,plain,
( $false
| ~ spl0_32
| ~ spl0_18
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2589,f2571]) ).
fof(f2591,plain,
( ~ spl0_32
| ~ spl0_18
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2601,plain,
( e2 != op(op(e0,e3),e0)
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f215,f522]) ).
fof(f2602,plain,
( e2 != op(e1,e0)
| ~ spl0_13
| ~ spl0_3
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f248,f2601]) ).
fof(f2603,plain,
( $false
| ~ spl0_18
| ~ spl0_13
| ~ spl0_3
| spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2602,f264]) ).
fof(f2604,plain,
( ~ spl0_18
| ~ spl0_13
| ~ spl0_3
| spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2603]) ).
fof(f2611,plain,
( e1 != op(e2,e0)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f81]) ).
fof(f2616,plain,
( e2 != op(e3,e3)
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f394,f125]) ).
fof(f2624,plain,
( op(op(e1,e2),e3) = e2
| ~ spl0_27
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f293,f591]) ).
fof(f2625,plain,
( op(e3,e3) = e2
| ~ spl0_27
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f293,f2624]) ).
fof(f2625_010,plain,
( op(e3,e3) = e2
| ~ spl0_27
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f293,f2624]) ).
fof(f2626,plain,
( $false
| ~ spl0_58
| ~ spl0_27
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2625,f2616]) ).
fof(f2627,plain,
( ~ spl0_58
| ~ spl0_27
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2631,plain,
( op(e3,op(e0,e0)) = e0
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f215,f599]) ).
fof(f2632,plain,
( op(e3,e3) = e0
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f215,f2631]) ).
fof(f2633,plain,
( $false
| ~ spl0_28
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2632,f2581]) ).
fof(f2634,plain,
( ~ spl0_28
| ~ spl0_3
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2641,plain,
( e2 != op(e0,e3)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f107]) ).
fof(f2642,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2641,f250,f237]) ).
fof(f2647,plain,
( e0 != op(e3,e3)
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f388,f125]) ).
fof(f2648,plain,
( ~ spl0_60
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2647,f400,f387]) ).
fof(f2661,plain,
( spl0_62
| ~ spl0_27
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2625,f406,f292,f590]) ).
fof(f2665,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2181,f257,f205]) ).
fof(f2688,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f365,f371]) ).
fof(f2689,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2688,f130]) ).
fof(f2690,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2704,plain,
( op(e1,op(e0,e1)) = e1
| ~ spl0_5
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f222,f603]) ).
fof(f2705,plain,
( op(e1,e1) = e1
| ~ spl0_5
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f222,f2704]) ).
fof(f2706,plain,
( $false
| spl0_21
| ~ spl0_5
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2705,f275]) ).
fof(f2707,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f2706]) ).
fof(f2715,plain,
( ~ spl0_33
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f2611,f312,f260]) ).
fof(f2730,plain,
( op(e1,op(e1,e0)) = e0
| ~ spl0_17
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f261,f583]) ).
fof(f2731,plain,
( op(e1,e1) = e0
| ~ spl0_17
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f261,f2730]) ).
fof(f2732,plain,
( $false
| spl0_20
| ~ spl0_17
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2731,f272]) ).
fof(f2733,plain,
( spl0_20
| ~ spl0_17
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2753,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f342,f345]) ).
fof(f2754,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2753,f131]) ).
fof(f2755,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2754]) ).
fof(f2758,plain,
( op(op(e1,e0),e3) = e0
| ~ spl0_19
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f267,f583]) ).
fof(f2770,plain,
( e0 != op(e1,e2)
| ~ spl0_79
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f502,f518]) ).
fof(f2771,plain,
( ~ spl0_24
| ~ spl0_79
| spl0_83 ),
inference(split_clause,[status(thm)],[f2770,f283,f501,f516]) ).
fof(f2790,plain,
( e3 != op(e1,e0)
| ~ spl0_9
| ~ spl0_2
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f235,f840]) ).
fof(f2791,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_2
| spl0_82 ),
inference(split_clause,[status(thm)],[f2790,f266,f234,f211,f512]) ).
fof(f2792,plain,
( e2 != op(e1,e3)
| ~ spl0_49
| ~ spl0_60
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f365,f1693]) ).
fof(f2793,plain,
( $false
| ~ spl0_30
| ~ spl0_49
| ~ spl0_60
| spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f2792,f303]) ).
fof(f2794,plain,
( ~ spl0_30
| ~ spl0_49
| ~ spl0_60
| spl0_70 ),
inference(contradiction_clause,[status(thm)],[f2793]) ).
fof(f2796,plain,
( op(e3,e3) = e0
| ~ spl0_19
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f267,f2758]) ).
fof(f2797,plain,
( spl0_60
| ~ spl0_19
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f2796,f400,f266,f582]) ).
fof(f2815,plain,
( ~ spl0_49
| ~ spl0_92
| spl0_89 ),
inference(split_clause,[status(thm)],[f2450,f364,f554,f541]) ).
fof(f2817,plain,
( e0 = e3
| ~ spl0_19
| ~ spl0_99
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f2463,f410]) ).
fof(f2818,plain,
( $false
| ~ spl0_19
| ~ spl0_99
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2817,f128]) ).
fof(f2819,plain,
( ~ spl0_19
| ~ spl0_99
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f2818]) ).
fof(f2820,plain,
$false,
inference(sat_refutation,[status(thm)],[f217,f230,f243,f256,f269,f282,f295,f308,f321,f334,f347,f360,f373,f386,f399,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f451,f455,f459,f463,f470,f477,f481,f488,f492,f496,f500,f504,f508,f515,f519,f523,f527,f531,f532,f536,f540,f552,f553,f557,f558,f559,f566,f570,f574,f578,f585,f589,f593,f597,f601,f605,f609,f613,f631,f664,f672,f675,f678,f681,f684,f687,f690,f693,f696,f699,f702,f714,f716,f719,f722,f725,f728,f731,f734,f737,f740,f746,f749,f761,f768,f771,f774,f776,f778,f780,f783,f785,f787,f797,f799,f808,f810,f813,f816,f818,f821,f826,f829,f832,f834,f845,f847,f850,f852,f855,f862,f867,f869,f873,f876,f879,f884,f885,f886,f889,f894,f895,f906,f919,f929,f932,f935,f939,f947,f950,f953,f960,f962,f976,f980,f983,f985,f987,f988,f1000,f1004,f1007,f1009,f1011,f1013,f1016,f1021,f1031,f1045,f1061,f1067,f1069,f1073,f1077,f1087,f1089,f1097,f1104,f1110,f1117,f1121,f1122,f1127,f1130,f1134,f1136,f1143,f1148,f1157,f1160,f1161,f1162,f1165,f1166,f1173,f1189,f1194,f1201,f1204,f1207,f1212,f1216,f1228,f1237,f1253,f1256,f1260,f1269,f1272,f1278,f1284,f1288,f1290,f1293,f1303,f1308,f1317,f1321,f1325,f1334,f1339,f1350,f1355,f1367,f1371,f1383,f1387,f1415,f1428,f1433,f1435,f1440,f1448,f1454,f1461,f1465,f1469,f1473,f1475,f1479,f1487,f1489,f1491,f1493,f1496,f1499,f1502,f1503,f1506,f1532,f1533,f1535,f1543,f1544,f1549,f1551,f1553,f1560,f1572,f1583,f1590,f1600,f1605,f1609,f1626,f1654,f1666,f1667,f1669,f1677,f1679,f1683,f1687,f1692,f1699,f1728,f1733,f1737,f1738,f1749,f1754,f1764,f1767,f1769,f1780,f1784,f1788,f1810,f1814,f1816,f1842,f1856,f1865,f1874,f1880,f1882,f1887,f1889,f1894,f1901,f1913,f1915,f1929,f1935,f1941,f1961,f1974,f1979,f1980,f1987,f2004,f2010,f2012,f2017,f2019,f2028,f2033,f2039,f2045,f2053,f2059,f2070,f2072,f2083,f2089,f2091,f2096,f2102,f2106,f2116,f2124,f2128,f2144,f2147,f2153,f2160,f2163,f2177,f2187,f2191,f2197,f2208,f2220,f2226,f2229,f2238,f2241,f2249,f2251,f2259,f2265,f2288,f2312,f2317,f2324,f2343,f2346,f2352,f2392,f2400,f2417,f2423,f2437,f2446,f2452,f2457,f2465,f2467,f2471,f2495,f2507,f2518,f2521,f2540,f2549,f2557,f2561,f2584,f2591,f2604,f2627,f2634,f2642,f2648,f2661,f2665,f2690,f2707,f2715,f2733,f2755,f2771,f2791,f2794,f2797,f2815,f2819]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : ALG141+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:35:46 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 3.79/0.89 % Refutation found
% 3.79/0.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.79/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.79/0.91 % Elapsed time: 0.553693 seconds
% 3.79/0.91 % CPU time: 4.201981 seconds
% 3.79/0.91 % Total memory used: 45.522 MB
% 3.79/0.91 % Net memory used: 43.929 MB
%------------------------------------------------------------------------------