TSTP Solution File: ALG137+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG137+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:10:13 EDT 2024
% Result : Unsatisfiable 3.44s 0.78s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 134
% Syntax : Number of formulae : 1294 ( 55 unt; 0 def)
% Number of atoms : 3684 (1383 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 4547 (2157 ~;2086 |; 195 &)
% ( 106 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 111 ( 109 usr; 110 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(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1)
& e3 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e2 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e3 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e2 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0)
& e3 = op(e0,op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e2 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0)
& e3 = op(e0,op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e0 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0)
& e1 = op(e0,op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1)
& e0 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e1 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e0 = op(e2,op(op(e2,e2),e2)) ),
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(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(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 ) ) ),
introduced(predicate_definition,[f5]) ).
fof(f133,plain,
( pd0_0
| ( op(op(e0,e3),op(e0,e3)) = e0
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( pd0_0
| op(op(e0,e3),op(e0,e3)) = e0 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
( pd0_0
| op(op(e1,e3),op(e1,e3)) = e1 ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
( pd0_0
| op(op(e2,e3),op(e2,e3)) = 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(op(e1,e1),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f139,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f141,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f142,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f143,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f144,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f145,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(esa)],[f144]) ).
fof(f146,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f147,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f149,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f151,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f154,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f155,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f158,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f159,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f158]) ).
fof(f160,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f161,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f163,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f166,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f167,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f169,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f170,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f171,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f173,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f176,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(op(e0,e0),e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f177,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(op(e0,e0),e0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f178,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f179,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f180,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f181,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f183,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f184,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f185,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f186,plain,
( ~ pd0_0
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f132]) ).
fof(f187,plain,
( pd0_1
=> ( ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 ) ) ),
introduced(predicate_definition,[f186]) ).
fof(f188,plain,
( ~ pd0_0
| pd0_1
| ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f186,f187]) ).
fof(f189,plain,
( ~ pd0_0
| pd0_1
| op(op(e0,e2),op(e0,e2)) = e0 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
( ~ pd0_0
| pd0_1
| op(op(e1,e2),op(e1,e2)) = 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(e3,e2),op(e3,e2)) = e3 ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f193,plain,
( ~ pd0_1
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f187]) ).
fof(f194,plain,
( pd0_2
=> ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 ) ),
introduced(predicate_definition,[f193]) ).
fof(f195,plain,
( ~ pd0_1
| pd0_2
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 ) ),
inference(formula_renaming,[status(thm)],[f193,f194]) ).
fof(f196,plain,
( ~ pd0_1
| pd0_2
| op(op(e0,e1),op(e0,e1)) = 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(e2,e1),op(e2,e1)) = e2 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f199,plain,
( ~ pd0_1
| pd0_2
| op(op(e3,e1),op(e3,e1)) = e3 ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f200,plain,
( ~ pd0_2
| ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = 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(e1,e0),op(e1,e0)) = e1 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f203,plain,
( ~ pd0_2
| op(op(e2,e0),op(e2,e0)) = e2 ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f204,plain,
( ~ pd0_2
| op(op(e3,e0),op(e3,e0)) = 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(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(f281,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(f337,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(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(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(f411,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(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(e0,e3),op(e0,e3)) = e0 ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( op(op(e0,e3),op(e0,e3)) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( op(op(e0,e3),op(e0,e3)) != 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(e1,e3),op(e1,e3)) = e1 ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( op(op(e1,e3),op(e1,e3)) = e1
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( op(op(e1,e3),op(e1,e3)) != 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(e2,e3),op(e2,e3)) = e2 ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( op(op(e2,e3),op(e2,e3)) = e2
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( op(op(e2,e3),op(e2,e3)) != 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(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( e0 != op(op(e1,e1),e1)
| spl0_69 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_70
<=> e3 = op(e1,op(op(e1,e1),e1)) ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| spl0_70 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ spl0_69
| ~ spl0_22
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f139,f464,f276,f467]) ).
fof(f471,plain,
( spl0_71
<=> e2 = op(e1,op(op(e1,e1),e1)) ),
introduced(split_symbol_definition) ).
fof(f473,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| spl0_71 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( ~ spl0_69
| ~ spl0_23
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f141,f464,f279,f471]) ).
fof(f475,plain,
( spl0_72
<=> e0 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( e0 != op(op(e2,e2),e2)
| spl0_72 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_73
<=> e3 = op(e2,op(op(e2,e2),e2)) ),
introduced(split_symbol_definition) ).
fof(f480,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| spl0_73 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( ~ spl0_72
| ~ spl0_41
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f143,f475,f338,f478]) ).
fof(f482,plain,
( spl0_74
<=> e1 = op(e2,op(op(e2,e2),e2)) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| spl0_74 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( ~ spl0_72
| ~ spl0_43
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f145,f475,f344,f482]) ).
fof(f486,plain,
( spl0_75
<=> e0 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( e0 != op(op(e3,e3),e3)
| spl0_75 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_76
<=> e2 = op(e3,op(op(e3,e3),e3)) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( e2 != op(e3,op(op(e3,e3),e3))
| spl0_76 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ spl0_75
| ~ spl0_61
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f147,f486,f403,f489]) ).
fof(f493,plain,
( spl0_77
<=> e1 = op(e3,op(op(e3,e3),e3)) ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( e1 != op(e3,op(op(e3,e3),e3))
| spl0_77 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ spl0_75
| ~ spl0_62
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f149,f486,f406,f493]) ).
fof(f497,plain,
( spl0_78
<=> e1 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( e1 = op(op(e0,e0),e0)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( e1 != op(op(e0,e0),e0)
| spl0_78 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_79
<=> e3 = op(e0,op(op(e0,e0),e0)) ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( e3 != op(e0,op(op(e0,e0),e0))
| spl0_79 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ spl0_78
| ~ spl0_2
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f151,f497,f211,f500]) ).
fof(f508,plain,
( spl0_81
<=> e1 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( e1 = op(op(e2,e2),e2)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( e1 != op(op(e2,e2),e2)
| spl0_81 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ spl0_81
| ~ spl0_40
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f155,f508,f335,f478]) ).
fof(f512,plain,
( spl0_82
<=> e0 = op(e2,op(op(e2,e2),e2)) ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( e0 = op(e2,op(op(e2,e2),e2))
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( e0 != op(e2,op(op(e2,e2),e2))
| spl0_82 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f516,plain,
( spl0_83
<=> e1 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( e1 != op(op(e3,e3),e3)
| spl0_83 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( ~ spl0_83
| ~ spl0_60
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f159,f516,f400,f489]) ).
fof(f520,plain,
( spl0_84
<=> e0 = op(e3,op(op(e3,e3),e3)) ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( e0 != op(e3,op(op(e3,e3),e3))
| spl0_84 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( ~ spl0_83
| ~ spl0_62
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f161,f516,f406,f520]) ).
fof(f524,plain,
( spl0_85
<=> e2 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( e2 != op(op(e0,e0),e0)
| spl0_85 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( ~ spl0_85
| ~ spl0_1
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f163,f524,f208,f500]) ).
fof(f528,plain,
( spl0_86
<=> e1 = op(e0,op(op(e0,e0),e0)) ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| spl0_86 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f532,plain,
( spl0_87
<=> e2 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( e2 = op(op(e1,e1),e1)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( e2 != op(op(e1,e1),e1)
| spl0_87 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( ~ spl0_87
| ~ spl0_20
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f167,f532,f270,f467]) ).
fof(f536,plain,
( spl0_88
<=> e0 = op(e1,op(op(e1,e1),e1)) ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( e0 != op(e1,op(op(e1,e1),e1))
| spl0_88 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ spl0_87
| ~ spl0_23
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f169,f532,f279,f536]) ).
fof(f540,plain,
( spl0_89
<=> e2 = op(op(e3,e3),e3) ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( e2 != op(op(e3,e3),e3)
| spl0_89 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( ~ spl0_89
| ~ spl0_60
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f171,f540,f400,f493]) ).
fof(f544,plain,
( ~ spl0_89
| ~ spl0_61
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f173,f540,f403,f520]) ).
fof(f545,plain,
( spl0_90
<=> e3 = op(op(e0,e0),e0) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( e3 != op(op(e0,e0),e0)
| spl0_90 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f549,plain,
( ~ spl0_90
| ~ spl0_2
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f177,f545,f211,f528]) ).
fof(f550,plain,
( spl0_91
<=> e3 = op(op(e1,e1),e1) ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( e3 = op(op(e1,e1),e1)
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( e3 != op(op(e1,e1),e1)
| spl0_91 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ spl0_91
| ~ spl0_20
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f179,f550,f270,f471]) ).
fof(f554,plain,
( ~ spl0_91
| ~ spl0_22
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f181,f550,f276,f536]) ).
fof(f555,plain,
( spl0_92
<=> e3 = op(op(e2,e2),e2) ),
introduced(split_symbol_definition) ).
fof(f557,plain,
( e3 != op(op(e2,e2),e2)
| spl0_92 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ spl0_92
| ~ spl0_40
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f183,f555,f335,f482]) ).
fof(f559,plain,
( ~ spl0_92
| ~ spl0_41
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f185,f555,f338,f512]) ).
fof(f560,plain,
( spl0_93
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( spl0_94
<=> op(op(e0,e2),op(e0,e2)) = e0 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op(op(e0,e2),op(e0,e2)) = 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(e1,e2),op(e1,e2)) = e1 ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( op(op(e1,e2),op(e1,e2)) = 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(e3,e2),op(e3,e2)) = e3 ),
introduced(split_symbol_definition) ).
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(e0,e1),op(e0,e1)) = e0 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op(op(e0,e1),op(e0,e1)) = 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(f589,plain,
( ~ spl0_93
| spl0_98
| spl0_100 ),
inference(split_clause,[status(thm)],[f197,f560,f579,f586]) ).
fof(f590,plain,
( spl0_101
<=> op(op(e2,e1),op(e2,e1)) = e2 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op(op(e2,e1),op(e2,e1)) = 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(e3,e1),op(e3,e1)) = e3 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( op(op(e3,e1),op(e3,e1)) = 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(e1,e0),op(e1,e0)) = e1 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( op(op(e1,e0),op(e1,e0)) = 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(e2,e0),op(e2,e0)) = e2 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op(op(e2,e0),op(e2,e0)) = 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(e3,e0),op(e3,e0)) = e3 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op(op(e3,e0),op(e3,e0)) = 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(e3,e0)) = e3
| ~ spl0_48
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f362,f611]) ).
fof(f615,plain,
( op(e0,e0) = e3
| ~ spl0_48
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f362,f614]) ).
fof(f615_001,plain,
( op(e0,e0) = e3
| ~ spl0_48
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f362,f614]) ).
fof(f621,plain,
( op(e0,op(e1,e0)) = e1
| ~ spl0_16
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f258,f603]) ).
fof(f622,plain,
( op(e0,e0) = e1
| ~ spl0_16
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f258,f621]) ).
fof(f627,plain,
( op(e0,op(e2,e3)) = e2
| ~ spl0_44
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f349,f457]) ).
fof(f628,plain,
( op(e0,e0) = e2
| ~ spl0_44
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f349,f627]) ).
fof(f632,plain,
( op(e0,op(e1,e3)) = e1
| ~ spl0_28
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f297,f453]) ).
fof(f633,plain,
( op(e0,e0) = e1
| ~ spl0_28
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f297,f632]) ).
fof(f634,plain,
( op(e0,op(e0,e3)) = e0
| ~ spl0_12
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f245,f449]) ).
fof(f635,plain,
( op(e0,e0) = e0
| ~ spl0_12
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f245,f634]) ).
fof(f636,plain,
( op(e0,op(e3,e1)) = e3
| ~ spl0_52
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f375,f595]) ).
fof(f637,plain,
( op(e0,e0) = e3
| ~ spl0_52
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f375,f636]) ).
fof(f641,plain,
( op(e0,op(e2,e1)) = e2
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f323,f591]) ).
fof(f642,plain,
( op(e0,e0) = e2
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f323,f641]) ).
fof(f643,plain,
( op(e0,op(e0,e1)) = e0
| ~ spl0_4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f219,f583]) ).
fof(f644,plain,
( op(e0,e0) = e0
| ~ spl0_4
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f219,f643]) ).
fof(f652,plain,
( op(e0,op(e1,e2)) = e1
| ~ spl0_24
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f284,f568]) ).
fof(f653,plain,
( op(e0,e0) = e1
| ~ spl0_24
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f284,f652]) ).
fof(f654,plain,
( op(e0,op(e0,e2)) = e0
| ~ spl0_8
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f232,f564]) ).
fof(f655,plain,
( op(e0,e0) = e0
| ~ spl0_8
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f232,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(f667,plain,
( e3 != op(e1,e3)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f254,f96]) ).
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_56
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f388,f391]) ).
fof(f695,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f126]) ).
fof(f696,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f695]) ).
fof(f697,plain,
( e0 = e1
| ~ spl0_52
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f375,f378]) ).
fof(f698,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f126]) ).
fof(f699,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( e0 = e1
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f362,f365]) ).
fof(f701,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f126]) ).
fof(f702,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f705,plain,
( e3 != op(e1,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f241,f90]) ).
fof(f706,plain,
( e3 != op(e2,e1)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f114]) ).
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(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(f751,plain,
( e3 != op(e1,op(e1,e1))
| ~ spl0_21
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f274,f469]) ).
fof(f752,plain,
( e2 != op(e1,e1)
| ~ spl0_21
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f274,f534]) ).
fof(f756,plain,
( e1 != op(e1,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f111]) ).
fof(f759,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f219,f222]) ).
fof(f760,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f126]) ).
fof(f761,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f764,plain,
( $false
| ~ spl0_21
| spl0_87
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f752]) ).
fof(f765,plain,
( ~ spl0_21
| spl0_87
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f769,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f245,f248]) ).
fof(f770,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f126]) ).
fof(f771,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( e3 != op(e2,e3)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f116]) ).
fof(f774,plain,
( ~ spl0_47
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f773,f357,f318]) ).
fof(f775,plain,
( e1 != op(e3,e3)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f300,f100]) ).
fof(f777,plain,
( $false
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f741]) ).
fof(f778,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f258,f261]) ).
fof(f780,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f779,f126]) ).
fof(f781,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f780]) ).
fof(f782,plain,
( e3 != op(e1,e3)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f267,f110]) ).
fof(f783,plain,
( ~ spl0_31
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f782,f305,f266]) ).
fof(f784,plain,
( e0 = e3
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f258,f267]) ).
fof(f785,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f128]) ).
fof(f786,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( e3 != op(e3,e3)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f384,f124]) ).
fof(f788,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f787,f409,f383]) ).
fof(f795,plain,
( e0 != op(e0,e3)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f104]) ).
fof(f796,plain,
( ~ spl0_12
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f795,f244,f205]) ).
fof(f799,plain,
( e0 != op(e2,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f79]) ).
fof(f800,plain,
( ~ spl0_32
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f799,f309,f205]) ).
fof(f805,plain,
( e1 != op(e3,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f391,f125]) ).
fof(f817,plain,
( e3 != op(e3,e1)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f88]) ).
fof(f818,plain,
( ~ spl0_55
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f817,f383,f279]) ).
fof(f819,plain,
( e3 != op(e1,e2)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f111]) ).
fof(f820,plain,
( ~ spl0_27
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f819,f292,f279]) ).
fof(f821,plain,
( e3 != op(e1,e3)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f280,f112]) ).
fof(f822,plain,
( ~ spl0_31
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f821,f305,f279]) ).
fof(f823,plain,
( e0 != op(e1,op(e3,e1))
| ~ spl0_23
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f280,f538]) ).
fof(f826,plain,
( e2 != op(e1,op(e3,e1))
| ~ spl0_23
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f280,f473]) ).
fof(f829,plain,
( e0 != op(e3,e1)
| ~ spl0_23
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f280,f466]) ).
fof(f830,plain,
( ~ spl0_52
| ~ spl0_23
| spl0_69 ),
inference(split_clause,[status(thm)],[f829,f374,f279,f464]) ).
fof(f831,plain,
( e0 = e3
| ~ spl0_52
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f375,f384]) ).
fof(f832,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f128]) ).
fof(f833,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f841,plain,
( e3 != op(e3,e2)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f121]) ).
fof(f842,plain,
( ~ spl0_59
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f841,f396,f370]) ).
fof(f844,plain,
( op(op(e1,e2),e1) = e1
| ~ spl0_25
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f287,f568]) ).
fof(f845,plain,
( e0 != op(e2,e3)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f297,f99]) ).
fof(f846,plain,
( e0 != op(e3,e3)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f297,f100]) ).
fof(f847,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f297,f306]) ).
fof(f848,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f128]) ).
fof(f849,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( ~ spl0_27
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f705,f292,f240]) ).
fof(f851,plain,
( e3 != op(e2,e2)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f241,f91]) ).
fof(f853,plain,
( e2 != op(e2,e0)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f79]) ).
fof(f854,plain,
( ~ spl0_34
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f853,f315,f211]) ).
fof(f855,plain,
( e2 != op(e0,e3)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f104]) ).
fof(f856,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f855,f250,f211]) ).
fof(f863,plain,
( e2 != op(e1,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f96]) ).
fof(f864,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f863,f302,f250]) ).
fof(f865,plain,
( e2 != op(e2,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f97]) ).
fof(f866,plain,
( ~ spl0_46
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f865,f354,f250]) ).
fof(f868,plain,
( e1 != op(e2,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f85]) ).
fof(f869,plain,
( e1 != op(e3,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f86]) ).
fof(f870,plain,
( ~ spl0_53
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f869,f377,f221]) ).
fof(f877,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f345,f477]) ).
fof(f878,plain,
( ~ spl0_56
| ~ spl0_43
| spl0_72 ),
inference(split_clause,[status(thm)],[f877,f387,f344,f475]) ).
fof(f880,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f209,f642]) ).
fof(f881,plain,
( $false
| ~ spl0_1
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f129]) ).
fof(f882,plain,
( ~ spl0_1
| ~ spl0_36
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f885,plain,
( op(e0,op(e3,e3)) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f401,f461]) ).
fof(f886,plain,
( op(e0,e0) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f401,f885]) ).
fof(f888,plain,
( e2 != op(e0,e3)
| ~ spl0_60
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f401,f542]) ).
fof(f890,plain,
( e2 != op(e3,op(e0,e3))
| ~ spl0_60
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f401,f491]) ).
fof(f898,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f222,f225]) ).
fof(f899,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f129]) ).
fof(f900,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( e2 != op(e3,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f82]) ).
fof(f903,plain,
( ~ spl0_50
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f902,f367,f263]) ).
fof(f904,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f108]) ).
fof(f907,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f667,f305,f253]) ).
fof(f910,plain,
( op(op(e1,e3),e1) = e1
| ~ spl0_29
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f300,f453]) ).
fof(f911,plain,
( op(e1,e1) = e1
| ~ spl0_29
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f300,f910]) ).
fof(f912,plain,
( $false
| spl0_21
| ~ spl0_29
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f911,f275]) ).
fof(f913,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( op(e3,op(e0,e3)) = e0
| ~ spl0_15
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f254,f449]) ).
fof(f916,plain,
( op(e3,e3) = e0
| ~ spl0_15
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f254,f915]) ).
fof(f916_002,plain,
( op(e3,e3) = e0
| ~ spl0_15
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f254,f915]) ).
fof(f917,plain,
( e3 != op(e3,e2)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f384,f123]) ).
fof(f919,plain,
( spl0_1
| ~ spl0_24
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f653,f208,f283,f567]) ).
fof(f923,plain,
( e0 != op(e3,e2)
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f284,f94]) ).
fof(f925,plain,
( e0 = e2
| ~ spl0_15
| ~ spl0_65
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f916,f407]) ).
fof(f926,plain,
( $false
| ~ spl0_15
| ~ spl0_65
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f127]) ).
fof(f927,plain,
( ~ spl0_15
| ~ spl0_65
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( op(e1,op(e0,e2)) = e0
| ~ spl0_9
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f235,f564]) ).
fof(f929,plain,
( op(e1,e1) = e0
| ~ spl0_9
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f235,f928]) ).
fof(f929_003,plain,
( op(e1,e1) = e0
| ~ spl0_9
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f235,f928]) ).
fof(f931,plain,
( e1 != op(e2,e2)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f91]) ).
fof(f932,plain,
( e1 != op(e3,e2)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f235,f92]) ).
fof(f936,plain,
( e2 != op(e0,e1)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f102]) ).
fof(f939,plain,
( e0 != op(e1,e1)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f219,f84]) ).
fof(f940,plain,
( $false
| ~ spl0_9
| ~ spl0_94
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f929]) ).
fof(f941,plain,
( ~ spl0_9
| ~ spl0_94
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f942,plain,
( e0 != op(e2,e1)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f219,f85]) ).
fof(f950,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f756,f286,f273]) ).
fof(f957,plain,
( e0 != op(e2,e3)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f310,f116]) ).
fof(f958,plain,
( ~ spl0_44
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f957,f348,f309]) ).
fof(f962,plain,
( e3 != op(e0,e3)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f241,f107]) ).
fof(f963,plain,
( ~ spl0_15
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f962,f253,f240]) ).
fof(f966,plain,
( $false
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f851]) ).
fof(f967,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f975,plain,
( e1 != op(e2,e0)
| ~ spl0_2
| spl0_78 ),
inference(backward_demodulation,[status(thm)],[f212,f499]) ).
fof(f976,plain,
( ~ spl0_33
| ~ spl0_2
| spl0_78 ),
inference(split_clause,[status(thm)],[f975,f312,f211,f497]) ).
fof(f979,plain,
( e3 != op(e2,e0)
| ~ spl0_2
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f212,f547]) ).
fof(f980,plain,
( ~ spl0_35
| ~ spl0_2
| spl0_90 ),
inference(split_clause,[status(thm)],[f979,f318,f211,f545]) ).
fof(f986,plain,
( e0 != op(e1,e3)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f271,f112]) ).
fof(f988,plain,
( op(e0,op(e1,e1)) = e1
| ~ spl0_20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f271,f587]) ).
fof(f989,plain,
( op(e0,e0) = e1
| ~ spl0_20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f271,f988]) ).
fof(f990,plain,
( $false
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f271]) ).
fof(f991,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f1000,plain,
( op(op(e1,e0),e2) = e1
| ~ spl0_18
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f264,f603]) ).
fof(f1001,plain,
( op(e2,e2) = e1
| ~ spl0_18
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f264,f1000]) ).
fof(f1001_004,plain,
( op(e2,e2) = e1
| ~ spl0_18
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f264,f1000]) ).
fof(f1002,plain,
( e0 = e1
| ~ spl0_40
| ~ spl0_18
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f336,f1001]) ).
fof(f1003,plain,
( $false
| ~ spl0_40
| ~ spl0_18
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f126]) ).
fof(f1004,plain,
( ~ spl0_40
| ~ spl0_18
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
( e1 != op(e0,e2)
| ~ spl0_40
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f336,f510]) ).
fof(f1007,plain,
( e3 != op(e0,e2)
| ~ spl0_40
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f336,f557]) ).
fof(f1010,plain,
( op(e3,op(e1,e3)) = e1
| ~ spl0_31
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f306,f453]) ).
fof(f1011,plain,
( op(e3,e3) = e1
| ~ spl0_31
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f306,f1010]) ).
fof(f1011_005,plain,
( op(e3,e3) = e1
| ~ spl0_31
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f306,f1010]) ).
fof(f1012,plain,
( op(op(e0,e3),e1) = e0
| ~ spl0_13
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f248,f449]) ).
fof(f1013,plain,
( $false
| ~ spl0_31
| ~ spl0_66
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f1011]) ).
fof(f1014,plain,
( ~ spl0_31
| ~ spl0_66
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( e2 != op(e3,e2)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f381,f123]) ).
fof(f1017,plain,
( ~ spl0_58
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1016,f393,f380]) ).
fof(f1018,plain,
( e1 != op(e0,e3)
| ~ spl0_60
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f401,f518]) ).
fof(f1019,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_83 ),
inference(split_clause,[status(thm)],[f1018,f247,f400,f516]) ).
fof(f1020,plain,
( op(e0,op(e3,e3)) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f401,f461]) ).
fof(f1021,plain,
( op(e0,e0) = e3
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f401,f1020]) ).
fof(f1022,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f209,f1021]) ).
fof(f1023,plain,
( $false
| ~ spl0_1
| ~ spl0_60
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f130]) ).
fof(f1024,plain,
( ~ spl0_1
| ~ spl0_60
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( op(e1,e1) = e0
| ~ spl0_13
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f248,f1012]) ).
fof(f1026,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1025,f270,f247,f448]) ).
fof(f1031,plain,
( e1 != op(e3,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f248,f98]) ).
fof(f1035,plain,
( e3 != op(e0,op(e1,e0))
| ~ spl0_1
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f209,f502]) ).
fof(f1036,plain,
( op(op(e2,e2),e0) = e2
| ~ spl0_40
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f336,f572]) ).
fof(f1037,plain,
( op(e0,e0) = e2
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f336,f1036]) ).
fof(f1038,plain,
( e1 = e2
| ~ spl0_1
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f209,f1037]) ).
fof(f1039,plain,
( $false
| ~ spl0_1
| ~ spl0_40
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f129]) ).
fof(f1040,plain,
( ~ spl0_1
| ~ spl0_40
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1039]) ).
fof(f1041,plain,
( $false
| ~ spl0_40
| spl0_92
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f1007]) ).
fof(f1042,plain,
( ~ spl0_40
| spl0_92
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
( e3 != op(e1,e1)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f267,f108]) ).
fof(f1046,plain,
( ~ spl0_44
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f845,f348,f296]) ).
fof(f1049,plain,
( e1 = op(e3,e3)
| ~ spl0_63
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f410,f517]) ).
fof(f1050,plain,
( $false
| ~ spl0_13
| ~ spl0_63
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1049,f1031]) ).
fof(f1051,plain,
( ~ spl0_13
| ~ spl0_63
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( op(e3,op(e1,e0)) = e1
| ~ spl0_19
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f267,f603]) ).
fof(f1053,plain,
( op(e3,e3) = e1
| ~ spl0_19
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f267,f1052]) ).
fof(f1053_006,plain,
( op(e3,e3) = e1
| ~ spl0_19
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f267,f1052]) ).
fof(f1054,plain,
( $false
| ~ spl0_13
| ~ spl0_19
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f1031]) ).
fof(f1055,plain,
( ~ spl0_13
| ~ spl0_19
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( e2 != op(e3,e0)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f83]) ).
fof(f1057,plain,
( ~ spl0_50
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1056,f367,f315]) ).
fof(f1058,plain,
( op(op(e2,e0),e2) = e2
| ~ spl0_34
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f316,f607]) ).
fof(f1059,plain,
( op(e2,e2) = e2
| ~ spl0_34
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f316,f1058]) ).
fof(f1060,plain,
( e0 = e2
| ~ spl0_40
| ~ spl0_34
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f336,f1059]) ).
fof(f1061,plain,
( $false
| ~ spl0_40
| ~ spl0_34
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f127]) ).
fof(f1062,plain,
( ~ spl0_40
| ~ spl0_34
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( e0 != op(e2,e3)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f336,f119]) ).
fof(f1065,plain,
( e2 != op(e0,e2)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f225,f105]) ).
fof(f1066,plain,
( e2 != op(e1,e1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f225,f84]) ).
fof(f1067,plain,
( ~ spl0_28
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f986,f296,f270]) ).
fof(f1068,plain,
( e0 != op(e3,e1)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f271,f88]) ).
fof(f1069,plain,
( ~ spl0_52
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1068,f374,f270]) ).
fof(f1070,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f1065]) ).
fof(f1071,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
( e3 != op(e3,e3)
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f397,f125]) ).
fof(f1073,plain,
( e2 != op(e0,e1)
| ~ spl0_20
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f271,f534]) ).
fof(f1076,plain,
( e3 != op(e0,e1)
| ~ spl0_20
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f271,f552]) ).
fof(f1077,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_91 ),
inference(split_clause,[status(thm)],[f1076,f227,f270,f550]) ).
fof(f1081,plain,
( e0 = e3
| ~ spl0_40
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f336,f345]) ).
fof(f1082,plain,
( $false
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f128]) ).
fof(f1083,plain,
( ~ spl0_40
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1086,plain,
( e1 != op(e3,e0)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f261,f82]) ).
fof(f1088,plain,
( ~ spl0_14
| ~ spl0_60
| spl0_89 ),
inference(split_clause,[status(thm)],[f888,f250,f400,f540]) ).
fof(f1096,plain,
( e2 != op(e3,e1)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f329,f89]) ).
fof(f1101,plain,
( e1 != op(e3,e3)
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f352,f101]) ).
fof(f1102,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f1086]) ).
fof(f1103,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1109,plain,
( e1 != op(e2,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f79]) ).
fof(f1110,plain,
( e1 != op(e3,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f80]) ).
fof(f1111,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f102]) ).
fof(f1118,plain,
( e0 != op(e2,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f271,f87]) ).
fof(f1119,plain,
( ~ spl0_36
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1118,f322,f270]) ).
fof(f1122,plain,
( op(e1,op(e0,e0)) = e0
| ~ spl0_1
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f209,f599]) ).
fof(f1129,plain,
( e2 != op(e2,e2)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f290,f93]) ).
fof(f1130,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1129,f341,f289]) ).
fof(f1131,plain,
( e2 != op(e1,e3)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f290,f113]) ).
fof(f1132,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1131,f302,f289]) ).
fof(f1134,plain,
( e3 != op(e2,e1)
| ~ spl0_81
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f509,f480]) ).
fof(f1138,plain,
( e0 != op(e2,op(e1,e2))
| ~ spl0_41
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f339,f514]) ).
fof(f1141,plain,
( op(e3,op(e0,e3)) != e0
| ~ spl0_15
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f254,f450]) ).
fof(f1142,plain,
( op(e3,e3) != e0
| ~ spl0_15
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f254,f1141]) ).
fof(f1144,plain,
( e1 != op(e3,e2)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f339,f95]) ).
fof(f1145,plain,
( ~ spl0_57
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1144,f390,f338]) ).
fof(f1146,plain,
( e1 != op(e2,e3)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f339,f119]) ).
fof(f1147,plain,
( ~ spl0_45
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1146,f351,f338]) ).
fof(f1148,plain,
( e0 != op(e1,e2)
| ~ spl0_41
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f339,f477]) ).
fof(f1151,plain,
( ~ spl0_9
| ~ spl0_40
| spl0_81 ),
inference(split_clause,[status(thm)],[f1005,f234,f335,f508]) ).
fof(f1153,plain,
( e0 != op(e3,e2)
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f375,f123]) ).
fof(f1154,plain,
( e0 != op(e1,e0)
| ~ spl0_52
| ~ spl0_23
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f375,f823]) ).
fof(f1155,plain,
( ~ spl0_16
| ~ spl0_52
| ~ spl0_23
| spl0_88 ),
inference(split_clause,[status(thm)],[f1154,f257,f374,f279,f536]) ).
fof(f1160,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1096,f380,f328]) ).
fof(f1161,plain,
( e2 != op(e2,e3)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f329,f118]) ).
fof(f1162,plain,
( ~ spl0_46
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1161,f354,f328]) ).
fof(f1167,plain,
( e1 = e2
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f235,f238]) ).
fof(f1168,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1167,f129]) ).
fof(f1169,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( e1 != op(e3,e2)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f287,f94]) ).
fof(f1173,plain,
( e0 != op(e1,e3)
| ~ spl0_61
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f404,f488]) ).
fof(f1174,plain,
( ~ spl0_28
| ~ spl0_61
| spl0_75 ),
inference(split_clause,[status(thm)],[f1173,f296,f403,f486]) ).
fof(f1175,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f404,f542]) ).
fof(f1176,plain,
( ~ spl0_30
| ~ spl0_61
| spl0_89 ),
inference(split_clause,[status(thm)],[f1175,f302,f403,f540]) ).
fof(f1177,plain,
( $false
| ~ spl0_45
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f1101]) ).
fof(f1178,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1183,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1109,f312,f208]) ).
fof(f1184,plain,
( ~ spl0_49
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1110,f364,f208]) ).
fof(f1185,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1111,f221,f208]) ).
fof(f1192,plain,
( op(e1,e1) = e0
| ~ spl0_1
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f209,f1122]) ).
fof(f1193,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f1192,f270,f208,f598]) ).
fof(f1194,plain,
( e3 != op(e1,op(e2,e1))
| ~ spl0_22
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f277,f469]) ).
fof(f1198,plain,
( e2 != op(e3,e1)
| ~ spl0_23
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f280,f534]) ).
fof(f1199,plain,
( e0 = e2
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f336,f342]) ).
fof(f1200,plain,
( $false
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1199,f127]) ).
fof(f1201,plain,
( ~ spl0_40
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ spl0_60
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f846,f400,f296]) ).
fof(f1206,plain,
( e2 != op(e3,op(e1,e3))
| ~ spl0_61
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f404,f491]) ).
fof(f1207,plain,
( e2 != op(e3,e0)
| ~ spl0_28
| ~ spl0_61
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f297,f1206]) ).
fof(f1208,plain,
( $false
| ~ spl0_50
| ~ spl0_28
| ~ spl0_61
| spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f368]) ).
fof(f1209,plain,
( ~ spl0_50
| ~ spl0_28
| ~ spl0_61
| spl0_76 ),
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1219,plain,
( op(e0,op(e0,e0)) != e0
| ~ spl0_0
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f206,f600]) ).
fof(f1220,plain,
( op(e0,e0) != e0
| ~ spl0_0
| spl0_103 ),
inference(forward_demodulation,[status(thm)],[f206,f1219]) ).
fof(f1221,plain,
( $false
| ~ spl0_0
| spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f206]) ).
fof(f1222,plain,
( ~ spl0_0
| spl0_103 ),
inference(contradiction_clause,[status(thm)],[f1221]) ).
fof(f1225,plain,
( e3 != op(e3,e2)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f345,f95]) ).
fof(f1226,plain,
( ~ spl0_59
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1225,f396,f344]) ).
fof(f1229,plain,
( e3 != op(e0,e1)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f102]) ).
fof(f1232,plain,
( e1 != op(e2,e2)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f313,f115]) ).
fof(f1233,plain,
( ~ spl0_41
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1232,f338,f312]) ).
fof(f1234,plain,
( e1 = e2
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f313,f316]) ).
fof(f1235,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f129]) ).
fof(f1236,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1240,plain,
( e0 != op(e3,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f92]) ).
fof(f1241,plain,
( ~ spl0_56
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1240,f387,f231]) ).
fof(f1246,plain,
( e0 != op(e3,op(e1,e3))
| ~ spl0_61
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f404,f522]) ).
fof(f1247,plain,
( e1 != op(e3,op(e1,e3))
| ~ spl0_61
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f404,f495]) ).
fof(f1248,plain,
( e1 != op(e3,e3)
| ~ spl0_31
| ~ spl0_61
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f306,f1247]) ).
fof(f1249,plain,
( $false
| ~ spl0_31
| ~ spl0_61
| spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1248,f404]) ).
fof(f1250,plain,
( ~ spl0_31
| ~ spl0_61
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1258,plain,
( op(e3,op(e1,e3)) != e1
| ~ spl0_31
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f306,f454]) ).
fof(f1259,plain,
( op(e3,e3) != e1
| ~ spl0_31
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f306,f1258]) ).
fof(f1260,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1171,f390,f286]) ).
fof(f1261,plain,
( e1 != op(e1,e3)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f287,f113]) ).
fof(f1263,plain,
( op(e3,op(e0,e0)) = e0
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f215,f599]) ).
fof(f1264,plain,
( op(e3,e3) = e0
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f215,f1263]) ).
fof(f1264_007,plain,
( op(e3,e3) = e0
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f215,f1263]) ).
fof(f1272,plain,
( ~ spl0_37
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f868,f325,f221]) ).
fof(f1278,plain,
( e1 != op(e2,e3)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f326,f118]) ).
fof(f1289,plain,
( ~ spl0_59
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f917,f396,f383]) ).
fof(f1292,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f349,f101]) ).
fof(f1292_008,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f349,f101]) ).
fof(f1293,plain,
( $false
| ~ spl0_3
| ~ spl0_103
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f1264]) ).
fof(f1294,plain,
( ~ spl0_3
| ~ spl0_103
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( spl0_1
| ~ spl0_16
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f622,f208,f257,f602]) ).
fof(f1296,plain,
( e0 != op(e1,e1)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f108]) ).
fof(f1297,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1296,f270,f257]) ).
fof(f1298,plain,
( e0 != op(e3,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f82]) ).
fof(f1299,plain,
( ~ spl0_48
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1298,f361,f257]) ).
fof(f1300,plain,
( e0 != op(e2,e0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f258,f81]) ).
fof(f1302,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_87 ),
inference(split_clause,[status(thm)],[f1073,f224,f270,f532]) ).
fof(f1303,plain,
( $false
| ~ spl0_31
| spl0_66
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f1259]) ).
fof(f1304,plain,
( ~ spl0_31
| spl0_66
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( e2 != op(e3,e1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f225,f86]) ).
fof(f1307,plain,
( ~ spl0_54
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1306,f380,f224]) ).
fof(f1308,plain,
( e2 != op(e0,e3)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f225,f106]) ).
fof(f1309,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1308,f250,f224]) ).
fof(f1313,plain,
( e3 != op(e3,e3)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f122]) ).
fof(f1317,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f931,f338,f234]) ).
fof(f1318,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1043,f279,f266]) ).
fof(f1325,plain,
( e0 != op(e1,e2)
| ~ spl0_87
| spl0_88 ),
inference(backward_demodulation,[status(thm)],[f533,f538]) ).
fof(f1326,plain,
( ~ spl0_24
| ~ spl0_87
| spl0_88 ),
inference(split_clause,[status(thm)],[f1325,f283,f532,f536]) ).
fof(f1327,plain,
( spl0_1
| ~ spl0_28
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f633,f208,f296,f452]) ).
fof(f1328,plain,
( ~ spl0_24
| ~ spl0_41
| spl0_72 ),
inference(split_clause,[status(thm)],[f1148,f283,f338,f475]) ).
fof(f1329,plain,
( op(op(e3,e3),e1) = e3
| ~ spl0_61
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f404,f461]) ).
fof(f1332,plain,
( ~ spl0_56
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1153,f387,f374]) ).
fof(f1333,plain,
( e0 = e2
| ~ spl0_52
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f375,f381]) ).
fof(f1334,plain,
( $false
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1333,f127]) ).
fof(f1335,plain,
( ~ spl0_52
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1339,plain,
( e3 != op(e1,e2)
| ~ spl0_87
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f533,f469]) ).
fof(f1340,plain,
( ~ spl0_27
| ~ spl0_87
| spl0_70 ),
inference(split_clause,[status(thm)],[f1339,f292,f532,f467]) ).
fof(f1354,plain,
( e2 != op(e1,e0)
| ~ spl0_1
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f209,f526]) ).
fof(f1357,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f932,f390,f234]) ).
fof(f1364,plain,
( e2 != op(e3,e3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f303,f100]) ).
fof(f1366,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f300,f303]) ).
fof(f1367,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f129]) ).
fof(f1368,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1278,f351,f325]) ).
fof(f1380,plain,
( e0 != op(e3,e3)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f375,f124]) ).
fof(f1382,plain,
( e2 = op(e1,e1)
| ~ spl0_21
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f274,f533]) ).
fof(f1383,plain,
( e2 = e1
| ~ spl0_21
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f274,f1382]) ).
fof(f1384,plain,
( $false
| ~ spl0_21
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f129]) ).
fof(f1385,plain,
( ~ spl0_21
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1384]) ).
fof(f1386,plain,
( e2 != op(e3,e1)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f368,f120]) ).
fof(f1387,plain,
( ~ spl0_54
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1386,f380,f367]) ).
fof(f1388,plain,
( ~ spl0_60
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1292,f400,f348]) ).
fof(f1391,plain,
( e0 != op(e1,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f78]) ).
fof(f1392,plain,
( e0 != op(e0,e1)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f102]) ).
fof(f1393,plain,
( e0 != op(e0,e2)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f103]) ).
fof(f1394,plain,
( ~ spl0_8
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1393,f231,f205]) ).
fof(f1395,plain,
( op(op(e0,e0),e0) = e0
| ~ spl0_0
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f206,f599]) ).
fof(f1400,plain,
( e3 != op(e2,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f85]) ).
fof(f1401,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1400,f331,f227]) ).
fof(f1402,plain,
( e3 != op(e0,e3)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f106]) ).
fof(f1403,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1402,f253,f227]) ).
fof(f1404,plain,
( ~ spl0_39
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f706,f331,f318]) ).
fof(f1408,plain,
( ~ spl0_60
| ~ spl0_15
| spl0_65 ),
inference(split_clause,[status(thm)],[f1142,f400,f253,f448]) ).
fof(f1409,plain,
( e1 != op(e3,op(e0,e3))
| ~ spl0_60
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f401,f495]) ).
fof(f1410,plain,
( e1 != op(e3,e3)
| ~ spl0_15
| ~ spl0_60
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f254,f1409]) ).
fof(f1411,plain,
( $false
| ~ spl0_61
| ~ spl0_15
| ~ spl0_60
| spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1410,f404]) ).
fof(f1412,plain,
( ~ spl0_61
| ~ spl0_15
| ~ spl0_60
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( e1 != op(e1,e0)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f78]) ).
fof(f1415,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1414,f260,f208]) ).
fof(f1417,plain,
( e1 != op(e0,e3)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f104]) ).
fof(f1418,plain,
( ~ spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1417,f247,f208]) ).
fof(f1429,plain,
( e3 != op(e3,e1)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f89]) ).
fof(f1430,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1429,f383,f331]) ).
fof(f1432,plain,
( e0 != op(e2,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f91]) ).
fof(f1433,plain,
( ~ spl0_40
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1432,f335,f231]) ).
fof(f1436,plain,
( op(e2,op(e3,e0)) = e3
| ~ spl0_50
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f368,f611]) ).
fof(f1437,plain,
( op(e2,e2) = e3
| ~ spl0_50
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f368,f1436]) ).
fof(f1438,plain,
( $false
| spl0_43
| ~ spl0_50
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f346]) ).
fof(f1439,plain,
( spl0_43
| ~ spl0_50
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1444,plain,
( ~ spl0_56
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f923,f387,f283]) ).
fof(f1446,plain,
( e1 != op(e3,e1)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f88]) ).
fof(f1447,plain,
( e1 != op(e1,e3)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f112]) ).
fof(f1448,plain,
( ~ spl0_29
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1447,f299,f273]) ).
fof(f1454,plain,
( spl0_60
| ~ spl0_15
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f916,f400,f253,f448]) ).
fof(f1457,plain,
( ~ spl0_36
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f942,f322,f218]) ).
fof(f1460,plain,
( e1 != op(e2,op(e3,e2))
| ~ spl0_43
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f345,f484]) ).
fof(f1461,plain,
( e1 != op(e2,e0)
| ~ spl0_56
| ~ spl0_43
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f388,f1460]) ).
fof(f1462,plain,
( $false
| ~ spl0_33
| ~ spl0_56
| ~ spl0_43
| spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1461,f313]) ).
fof(f1463,plain,
( ~ spl0_33
| ~ spl0_56
| ~ spl0_43
| spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1465,plain,
( e2 != op(e3,e3)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f355,f101]) ).
fof(f1466,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1465,f406,f354]) ).
fof(f1469,plain,
( ~ spl0_32
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1300,f309,f257]) ).
fof(f1476,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f936,f224,f211]) ).
fof(f1477,plain,
( op(e2,op(e2,e3)) = e2
| ~ spl0_46
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f355,f457]) ).
fof(f1478,plain,
( op(e2,e2) = e2
| ~ spl0_46
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f355,f1477]) ).
fof(f1479,plain,
( $false
| spl0_42
| ~ spl0_46
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1478,f343]) ).
fof(f1480,plain,
( spl0_42
| ~ spl0_46
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1485,plain,
( spl0_1
| ~ spl0_20
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f989,f208,f270,f586]) ).
fof(f1486,plain,
( ~ spl0_61
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f775,f403,f299]) ).
fof(f1487,plain,
( op(e3,op(e3,e0)) = e3
| ~ spl0_51
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f371,f611]) ).
fof(f1488,plain,
( op(e3,e3) = e3
| ~ spl0_51
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f371,f1487]) ).
fof(f1489,plain,
( $false
| ~ spl0_51
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f1313]) ).
fof(f1490,plain,
( ~ spl0_51
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( e1 != op(e1,e1)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f261,f108]) ).
fof(f1494,plain,
( op(e1,op(e1,e0)) = e1
| ~ spl0_17
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f261,f603]) ).
fof(f1495,plain,
( op(e1,e1) = e1
| ~ spl0_17
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f261,f1494]) ).
fof(f1496,plain,
( $false
| ~ spl0_17
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1495,f1492]) ).
fof(f1497,plain,
( ~ spl0_17
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f1496]) ).
fof(f1498,plain,
( spl0_3
| ~ spl0_60
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f886,f214,f400,f460]) ).
fof(f1500,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f90]) ).
fof(f1501,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1500,f283,f231]) ).
fof(f1503,plain,
( e0 != op(e0,e3)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f232,f107]) ).
fof(f1504,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1503,f244,f231]) ).
fof(f1516,plain,
( e0 != op(e3,e3)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f362,f122]) ).
fof(f1517,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1516,f400,f361]) ).
fof(f1519,plain,
( e3 != op(e2,e3)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f118]) ).
fof(f1520,plain,
( ~ spl0_47
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1519,f357,f331]) ).
fof(f1522,plain,
( e1 != op(e0,e1)
| ~ spl0_78
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f498,f530]) ).
fof(f1523,plain,
( ~ spl0_5
| ~ spl0_78
| spl0_86 ),
inference(split_clause,[status(thm)],[f1522,f221,f497,f528]) ).
fof(f1529,plain,
( e1 != op(e1,e1)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f84]) ).
fof(f1530,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1529,f273,f221]) ).
fof(f1538,plain,
( op(e2,op(e1,e3)) = e1
| ~ spl0_30
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f303,f453]) ).
fof(f1539,plain,
( op(e2,e2) = e1
| ~ spl0_30
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f303,f1538]) ).
fof(f1540,plain,
( $false
| spl0_41
| ~ spl0_30
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1539,f340]) ).
fof(f1541,plain,
( spl0_41
| ~ spl0_30
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1544,plain,
( spl0_0
| ~ spl0_12
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f635,f205,f244,f448]) ).
fof(f1557,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f98]) ).
fof(f1558,plain,
( ~ spl0_62
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1557,f406,f250]) ).
fof(f1564,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1229,f227,f214]) ).
fof(f1567,plain,
( ~ spl0_47
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f666,f357,f305]) ).
fof(f1568,plain,
( op(e1,e1) = e3
| ~ spl0_31
| ~ spl0_66
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f1011,f1329]) ).
fof(f1569,plain,
( $false
| spl0_23
| ~ spl0_31
| ~ spl0_66
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f281]) ).
fof(f1570,plain,
( spl0_23
| ~ spl0_31
| ~ spl0_66
| ~ spl0_61
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1572,plain,
( e1 != op(e1,e2)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f109]) ).
fof(f1573,plain,
( ~ spl0_25
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1572,f286,f260]) ).
fof(f1575,plain,
( e2 != op(e2,e3)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f316,f116]) ).
fof(f1581,plain,
( spl0_2
| ~ spl0_44
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f628,f211,f348,f456]) ).
fof(f1583,plain,
( e3 != op(e1,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f78]) ).
fof(f1584,plain,
( ~ spl0_19
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1583,f266,f214]) ).
fof(f1586,plain,
( e3 != op(e0,e2)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f103]) ).
fof(f1587,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1586,f240,f214]) ).
fof(f1592,plain,
( ~ spl0_62
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1364,f406,f302]) ).
fof(f1604,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1391,f257,f205]) ).
fof(f1605,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1392,f218,f205]) ).
fof(f1606,plain,
( op(e0,e0) = e0
| ~ spl0_0
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f206,f1395]) ).
fof(f1609,plain,
( e2 != op(e3,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f92]) ).
fof(f1610,plain,
( e2 != op(e2,e2)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f91]) ).
fof(f1611,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1610,f341,f237]) ).
fof(f1612,plain,
( ~ spl0_22
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f904,f276,f263]) ).
fof(f1618,plain,
( op(op(e1,e0),e2) = e1
| ~ spl0_18
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f264,f603]) ).
fof(f1619,plain,
( op(e2,e2) = e1
| ~ spl0_18
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f264,f1618]) ).
fof(f1620,plain,
( spl0_41
| ~ spl0_18
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f1001,f338,f263,f602]) ).
fof(f1622,plain,
( e3 != op(e2,e0)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f79]) ).
fof(f1628,plain,
( e1 = e2
| ~ spl0_18
| ~ spl0_104
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1619,f342]) ).
fof(f1629,plain,
( $false
| ~ spl0_18
| ~ spl0_104
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1628,f129]) ).
fof(f1630,plain,
( ~ spl0_18
| ~ spl0_104
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1631,plain,
( e1 != op(e2,e3)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f300,f99]) ).
fof(f1649,plain,
( e2 != op(e3,e2)
| ~ spl0_14
| ~ spl0_60
| spl0_76 ),
inference(forward_demodulation,[status(thm)],[f251,f890]) ).
fof(f1650,plain,
( ~ spl0_58
| ~ spl0_14
| ~ spl0_60
| spl0_76 ),
inference(split_clause,[status(thm)],[f1649,f393,f250,f400,f489]) ).
fof(f1654,plain,
( spl0_0
| ~ spl0_8
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f655,f205,f231,f563]) ).
fof(f1657,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_85 ),
inference(split_clause,[status(thm)],[f1354,f263,f208,f524]) ).
fof(f1658,plain,
( e1 != op(e3,e1)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f326,f89]) ).
fof(f1659,plain,
( ~ spl0_53
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1658,f377,f325]) ).
fof(f1660,plain,
( e1 != op(e2,e2)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f326,f117]) ).
fof(f1661,plain,
( ~ spl0_41
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1660,f338,f325]) ).
fof(f1665,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f326,f329]) ).
fof(f1666,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f129]) ).
fof(f1667,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( e1 != op(e3,op(e0,e3))
| ~ spl0_60
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f401,f495]) ).
fof(f1672,plain,
( e3 != op(e2,e3)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f345,f119]) ).
fof(f1673,plain,
( ~ spl0_47
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1672,f357,f344]) ).
fof(f1678,plain,
( e3 != op(e3,e1)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f228,f86]) ).
fof(f1679,plain,
( ~ spl0_55
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1678,f383,f227]) ).
fof(f1683,plain,
( $false
| ~ spl0_29
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f1631]) ).
fof(f1684,plain,
( ~ spl0_29
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1683]) ).
fof(f1689,plain,
( ~ spl0_46
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1575,f354,f315]) ).
fof(f1693,plain,
( e3 != op(e1,e0)
| ~ spl0_36
| ~ spl0_22
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f323,f1194]) ).
fof(f1694,plain,
( ~ spl0_19
| ~ spl0_36
| ~ spl0_22
| spl0_70 ),
inference(split_clause,[status(thm)],[f1693,f266,f322,f276,f467]) ).
fof(f1705,plain,
( e2 != op(e2,e1)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f277,f87]) ).
fof(f1706,plain,
( e2 != op(e3,e1)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f277,f88]) ).
fof(f1716,plain,
( e2 != op(e0,e3)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f238,f107]) ).
fof(f1717,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1716,f250,f237]) ).
fof(f1722,plain,
( $false
| ~ spl0_22
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f329,f1705]) ).
fof(f1723,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1725,plain,
( op(op(e0,e2),e3) = e0
| ~ spl0_11
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f241,f564]) ).
fof(f1727,plain,
( e3 != op(e2,e2)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f332,f117]) ).
fof(f1753,plain,
( e1 != op(e3,e2)
| ~ spl0_14
| ~ spl0_60
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f251,f1668]) ).
fof(f1754,plain,
( ~ spl0_57
| ~ spl0_14
| ~ spl0_60
| spl0_77 ),
inference(split_clause,[status(thm)],[f1753,f390,f250,f400,f493]) ).
fof(f1760,plain,
( e0 != op(e1,e3)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f284,f113]) ).
fof(f1761,plain,
( ~ spl0_28
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1760,f296,f283]) ).
fof(f1765,plain,
( e3 != op(e3,e3)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f122]) ).
fof(f1766,plain,
( ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1765,f409,f370]) ).
fof(f1767,plain,
( e0 != op(e3,e0)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f310,f83]) ).
fof(f1768,plain,
( ~ spl0_48
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1767,f361,f309]) ).
fof(f1772,plain,
( op(e3,e3) = e0
| ~ spl0_11
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f241,f1725]) ).
fof(f1773,plain,
( spl0_60
| ~ spl0_11
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1772,f400,f240,f563]) ).
fof(f1776,plain,
( e3 != op(e0,e2)
| ~ spl0_18
| ~ spl0_1
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f264,f1035]) ).
fof(f1777,plain,
( ~ spl0_11
| ~ spl0_18
| ~ spl0_1
| spl0_79 ),
inference(split_clause,[status(thm)],[f1776,f240,f263,f208,f500]) ).
fof(f1784,plain,
( ~ spl0_29
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1261,f299,f286]) ).
fof(f1785,plain,
( op(e1,e1) = e1
| ~ spl0_25
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f287,f844]) ).
fof(f1786,plain,
( spl0_21
| ~ spl0_25
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f1785,f273,f286,f567]) ).
fof(f1787,plain,
( op(op(e1,e2),e1) = e1
| ~ spl0_25
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f287,f568]) ).
fof(f1788,plain,
( op(e1,e1) = e1
| ~ spl0_25
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f287,f1787]) ).
fof(f1789,plain,
( e3 != op(e2,e1)
| ~ spl0_22
| spl0_91 ),
inference(forward_demodulation,[status(thm)],[f277,f552]) ).
fof(f1790,plain,
( ~ spl0_39
| ~ spl0_22
| spl0_91 ),
inference(split_clause,[status(thm)],[f1789,f331,f276,f550]) ).
fof(f1793,plain,
( e1 = e2
| ~ spl0_25
| ~ spl0_95
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1788,f277]) ).
fof(f1794,plain,
( $false
| ~ spl0_25
| ~ spl0_95
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f129]) ).
fof(f1795,plain,
( ~ spl0_25
| ~ spl0_95
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1797,plain,
( e1 != op(e1,e2)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f235,f90]) ).
fof(f1807,plain,
( e2 != op(e1,e3)
| ~ spl0_91
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f551,f473]) ).
fof(f1808,plain,
( ~ spl0_30
| ~ spl0_91
| spl0_71 ),
inference(split_clause,[status(thm)],[f1807,f302,f550,f471]) ).
fof(f1812,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f326,f332]) ).
fof(f1813,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f130]) ).
fof(f1814,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1818,plain,
( op(op(e2,e3),e0) != e2
| ~ spl0_44
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f349,f458]) ).
fof(f1827,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1609,f393,f237]) ).
fof(f1831,plain,
( e0 != op(e2,e3)
| ~ spl0_27
| ~ spl0_41
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f293,f1138]) ).
fof(f1832,plain,
( ~ spl0_44
| ~ spl0_27
| ~ spl0_41
| spl0_82 ),
inference(split_clause,[status(thm)],[f1831,f348,f292,f338,f512]) ).
fof(f1841,plain,
( op(op(e0,e2),e2) = e0
| ~ spl0_10
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f238,f564]) ).
fof(f1842,plain,
( op(e2,e2) = e0
| ~ spl0_10
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f238,f1841]) ).
fof(f1842_009,plain,
( op(e2,e2) = e0
| ~ spl0_10
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f238,f1841]) ).
fof(f1843,plain,
( e2 != op(e1,e2)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f238,f90]) ).
fof(f1844,plain,
( ~ spl0_26
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1843,f289,f237]) ).
fof(f1853,plain,
( ~ spl0_63
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1072,f409,f396]) ).
fof(f1856,plain,
( op(e2,op(e1,e2)) = e1
| ~ spl0_26
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f290,f568]) ).
fof(f1857,plain,
( op(e2,e2) = e1
| ~ spl0_26
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f290,f1856]) ).
fof(f1861,plain,
( e1 != op(e3,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f248,f98]) ).
fof(f1862,plain,
( ~ spl0_61
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1861,f403,f247]) ).
fof(f1875,plain,
( ~ spl0_44
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1063,f348,f335]) ).
fof(f1878,plain,
( e0 != op(e2,e3)
| ~ spl0_10
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f1842,f119]) ).
fof(f1879,plain,
( ~ spl0_44
| ~ spl0_10
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1878,f348,f237,f563]) ).
fof(f1882,plain,
( e0 != op(e2,op(e0,e2))
| ~ spl0_10
| ~ spl0_94
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f1842,f514]) ).
fof(f1883,plain,
( e0 != op(e2,e2)
| ~ spl0_10
| ~ spl0_94
| spl0_82 ),
inference(forward_demodulation,[status(thm)],[f238,f1882]) ).
fof(f1884,plain,
( $false
| ~ spl0_10
| ~ spl0_94
| spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1883,f1842]) ).
fof(f1885,plain,
( ~ spl0_10
| ~ spl0_94
| spl0_82 ),
inference(contradiction_clause,[status(thm)],[f1884]) ).
fof(f1892,plain,
( e2 != op(e3,e3)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f381,f124]) ).
fof(f1893,plain,
( ~ spl0_62
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1892,f406,f380]) ).
fof(f1901,plain,
( e1 != op(e2,e0)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f261,f81]) ).
fof(f1902,plain,
( ~ spl0_33
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1901,f312,f260]) ).
fof(f1903,plain,
( ~ spl0_54
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1706,f380,f276]) ).
fof(f1904,plain,
( e0 != op(e2,e1)
| ~ spl0_22
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f277,f466]) ).
fof(f1905,plain,
( $false
| ~ spl0_36
| ~ spl0_22
| spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1904,f323]) ).
fof(f1906,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_69 ),
inference(contradiction_clause,[status(thm)],[f1905]) ).
fof(f1908,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f391,f394]) ).
fof(f1909,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1908,f129]) ).
fof(f1910,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1918,plain,
( e3 != op(e2,e2)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f115]) ).
fof(f1919,plain,
( ~ spl0_43
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1918,f344,f318]) ).
fof(f1921,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f352,f355]) ).
fof(f1922,plain,
( $false
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f129]) ).
fof(f1923,plain,
( ~ spl0_45
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1928,plain,
( ~ spl0_54
| ~ spl0_23
| spl0_87 ),
inference(split_clause,[status(thm)],[f1198,f380,f279,f532]) ).
fof(f1941,plain,
( e2 != op(e1,e3)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f264,f110]) ).
fof(f1942,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1941,f302,f263]) ).
fof(f1952,plain,
( e0 != op(e1,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f245,f96]) ).
fof(f1953,plain,
( ~ spl0_28
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1952,f296,f244]) ).
fof(f1954,plain,
( ~ spl0_25
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1797,f286,f234]) ).
fof(f1955,plain,
( e1 = e3
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f235,f241]) ).
fof(f1956,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f130]) ).
fof(f1957,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1956]) ).
fof(f1969,plain,
( op(e0,e0) != e2
| ~ spl0_44
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f349,f1818]) ).
fof(f1970,plain,
( ~ spl0_2
| ~ spl0_44
| spl0_67 ),
inference(split_clause,[status(thm)],[f1969,f211,f348,f456]) ).
fof(f1975,plain,
( e3 != op(e0,e3)
| ~ spl0_48
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f615,f104]) ).
fof(f1976,plain,
( ~ spl0_15
| ~ spl0_48
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1975,f253,f361,f610]) ).
fof(f1979,plain,
( e3 != op(e1,e0)
| ~ spl0_48
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f615,f78]) ).
fof(f1980,plain,
( ~ spl0_19
| ~ spl0_48
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1979,f266,f361,f610]) ).
fof(f1981,plain,
( spl0_3
| ~ spl0_48
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f615,f214,f361,f610]) ).
fof(f1984,plain,
( e1 = op(e2,e0)
| ~ spl0_2
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f212,f498]) ).
fof(f1991,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1727,f344,f331]) ).
fof(f2002,plain,
( e0 != op(e3,e2)
| ~ spl0_30
| ~ spl0_61
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f303,f1246]) ).
fof(f2003,plain,
( ~ spl0_56
| ~ spl0_30
| ~ spl0_61
| spl0_84 ),
inference(split_clause,[status(thm)],[f2002,f387,f302,f403,f520]) ).
fof(f2008,plain,
( op(op(e1,e2),e3) = e1
| ~ spl0_27
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f293,f568]) ).
fof(f2011,plain,
( e0 != op(e2,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f245,f97]) ).
fof(f2012,plain,
( spl0_40
| ~ spl0_10
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1842,f335,f237,f563]) ).
fof(f2013,plain,
( e0 != op(e3,e2)
| ~ spl0_10
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f1842,f95]) ).
fof(f2014,plain,
( ~ spl0_56
| ~ spl0_10
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2013,f387,f237,f563]) ).
fof(f2021,plain,
( op(e3,op(e2,e3)) != e2
| ~ spl0_47
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f358,f458]) ).
fof(f2024,plain,
( e3 != op(e1,e2)
| ~ spl0_41
| spl0_92 ),
inference(backward_demodulation,[status(thm)],[f339,f557]) ).
fof(f2025,plain,
( ~ spl0_27
| ~ spl0_41
| spl0_92 ),
inference(split_clause,[status(thm)],[f2024,f292,f338,f555]) ).
fof(f2026,plain,
( spl0_60
| ~ spl0_3
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f1264,f400,f214,f598]) ).
fof(f2028,plain,
( e0 = op(e2,op(e1,e2))
| ~ spl0_41
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f339,f513]) ).
fof(f2029,plain,
( e0 = op(e2,e3)
| ~ spl0_27
| ~ spl0_41
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f293,f2028]) ).
fof(f2030,plain,
( $false
| ~ spl0_12
| ~ spl0_27
| ~ spl0_41
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f2011]) ).
fof(f2031,plain,
( ~ spl0_12
| ~ spl0_27
| ~ spl0_41
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2032,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f245,f98]) ).
fof(f2033,plain,
( ~ spl0_60
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2032,f400,f244]) ).
fof(f2037,plain,
( op(op(e2,e1),e1) = e2
| ~ spl0_37
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f326,f591]) ).
fof(f2038,plain,
( e0 = e2
| ~ spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f284,f290]) ).
fof(f2039,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2038,f127]) ).
fof(f2040,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2060,plain,
( spl0_0
| ~ spl0_4
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f644,f205,f218,f582]) ).
fof(f2074,plain,
( e1 != op(e0,e2)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f103]) ).
fof(f2075,plain,
( ~ spl0_9
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2074,f234,f208]) ).
fof(f2085,plain,
( e3 != op(e1,e1)
| ~ spl0_21
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f274,f751]) ).
fof(f2086,plain,
( ~ spl0_23
| ~ spl0_21
| spl0_70 ),
inference(split_clause,[status(thm)],[f2085,f279,f273,f467]) ).
fof(f2088,plain,
( e1 != op(e2,e1)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f274,f87]) ).
fof(f2089,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2088,f325,f273]) ).
fof(f2099,plain,
( e3 != op(e1,e1)
| ~ spl0_21
| spl0_91 ),
inference(backward_demodulation,[status(thm)],[f274,f552]) ).
fof(f2100,plain,
( ~ spl0_23
| ~ spl0_21
| spl0_91 ),
inference(split_clause,[status(thm)],[f2099,f279,f273,f550]) ).
fof(f2106,plain,
( e2 != op(e2,e1)
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f316,f114]) ).
fof(f2107,plain,
( ~ spl0_38
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2106,f328,f315]) ).
fof(f2117,plain,
( e0 != op(e2,e2)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f284,f93]) ).
fof(f2118,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2117,f335,f283]) ).
fof(f2122,plain,
( e2 != op(e1,e0)
| ~ spl0_52
| ~ spl0_23
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f375,f826]) ).
fof(f2123,plain,
( ~ spl0_18
| ~ spl0_52
| ~ spl0_23
| spl0_71 ),
inference(split_clause,[status(thm)],[f2122,f263,f374,f279,f471]) ).
fof(f2127,plain,
( ~ spl0_60
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1380,f400,f374]) ).
fof(f2133,plain,
( spl0_3
| ~ spl0_52
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f637,f214,f374,f594]) ).
fof(f2154,plain,
( e3 = op(e0,e1)
| ~ spl0_20
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f271,f551]) ).
fof(f2155,plain,
( spl0_41
| ~ spl0_26
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f1857,f338,f289,f567]) ).
fof(f2164,plain,
( spl0_61
| ~ spl0_19
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f1053,f403,f266,f602]) ).
fof(f2165,plain,
( op(e1,op(e3,e0)) = e3
| ~ spl0_49
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f365,f611]) ).
fof(f2166,plain,
( op(e1,e1) = e3
| ~ spl0_49
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f365,f2165]) ).
fof(f2166_010,plain,
( op(e1,e1) = e3
| ~ spl0_49
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f365,f2165]) ).
fof(f2167,plain,
( e0 = e3
| ~ spl0_20
| ~ spl0_49
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f271,f2166]) ).
fof(f2168,plain,
( $false
| ~ spl0_20
| ~ spl0_49
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f2167,f128]) ).
fof(f2169,plain,
( ~ spl0_20
| ~ spl0_49
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2177,plain,
( e3 != op(e2,op(e0,e2))
| ~ spl0_40
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f336,f480]) ).
fof(f2181,plain,
( op(e2,op(e3,e1)) = e3
| ~ spl0_54
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f381,f595]) ).
fof(f2182,plain,
( op(e2,e2) = e3
| ~ spl0_54
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f381,f2181]) ).
fof(f2185,plain,
( e1 != op(e3,e0)
| ~ spl0_2
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f1984,f83]) ).
fof(f2186,plain,
( ~ spl0_49
| ~ spl0_2
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2185,f364,f211,f497]) ).
fof(f2187,plain,
( e3 != op(e0,e1)
| ~ spl0_78
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f498,f502]) ).
fof(f2188,plain,
( ~ spl0_7
| ~ spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f2187,f227,f497,f500]) ).
fof(f2193,plain,
( e3 != op(e2,e2)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f319,f115]) ).
fof(f2194,plain,
( $false
| ~ spl0_54
| ~ spl0_102
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f2182]) ).
fof(f2195,plain,
( ~ spl0_54
| ~ spl0_102
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2197,plain,
( e0 = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f388,f397]) ).
fof(f2198,plain,
( $false
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f128]) ).
fof(f2199,plain,
( ~ spl0_56
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2209,plain,
( e1 != op(e3,e1)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f365,f120]) ).
fof(f2210,plain,
( ~ spl0_53
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2209,f377,f364]) ).
fof(f2211,plain,
( ~ spl0_53
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1446,f377,f273]) ).
fof(f2217,plain,
( e3 = op(e1,e1)
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f274,f551]) ).
fof(f2218,plain,
( e3 = e1
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f274,f2217]) ).
fof(f2219,plain,
( $false
| ~ spl0_21
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f2218,f130]) ).
fof(f2220,plain,
( ~ spl0_21
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2222,plain,
( e2 != op(e3,e2)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f290,f94]) ).
fof(f2223,plain,
( ~ spl0_58
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2222,f393,f289]) ).
fof(f2227,plain,
( e2 != op(e3,e3)
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f394,f125]) ).
fof(f2228,plain,
( e1 != op(e1,e3)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f248,f96]) ).
fof(f2229,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2228,f299,f247]) ).
fof(f2235,plain,
( op(e0,op(e2,e1)) = e2
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f323,f591]) ).
fof(f2236,plain,
( op(e0,e0) = e2
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f323,f2235]) ).
fof(f2242,plain,
( e1 != op(e0,e3)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f222,f106]) ).
fof(f2243,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f2242,f247,f221]) ).
fof(f2252,plain,
( e2 != op(e1,e2)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f277,f111]) ).
fof(f2253,plain,
( ~ spl0_26
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2252,f289,f276]) ).
fof(f2267,plain,
( op(e3,e3) = e1
| ~ spl0_27
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f293,f2008]) ).
fof(f2268,plain,
( spl0_61
| ~ spl0_27
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2267,f403,f292,f567]) ).
fof(f2271,plain,
( e3 != op(e3,e1)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f371,f120]) ).
fof(f2272,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f2271,f383,f370]) ).
fof(f2301,plain,
( spl0_61
| ~ spl0_31
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1011,f403,f305,f452]) ).
fof(f2318,plain,
( op(op(e0,e1),e3) = e0
| ~ spl0_7
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f228,f583]) ).
fof(f2338,plain,
( e3 != op(e1,e3)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f293,f113]) ).
fof(f2343,plain,
( spl0_23
| ~ spl0_49
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f2166,f279,f364,f610]) ).
fof(f2360,plain,
( op(e2,op(e0,e1)) = e0
| ~ spl0_6
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f225,f583]) ).
fof(f2361,plain,
( op(e2,e2) = e0
| ~ spl0_6
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f225,f2360]) ).
fof(f2362,plain,
( $false
| spl0_40
| ~ spl0_6
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2361,f337]) ).
fof(f2363,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2362]) ).
fof(f2376,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1622,f318,f214]) ).
fof(f2377,plain,
( e3 != op(e0,e3)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f104]) ).
fof(f2378,plain,
( ~ spl0_15
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f2377,f253,f214]) ).
fof(f2392,plain,
( e0 != op(e3,op(e2,e3))
| ~ spl0_62
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f407,f522]) ).
fof(f2393,plain,
( e0 != op(e3,e1)
| ~ spl0_45
| ~ spl0_62
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f352,f2392]) ).
fof(f2394,plain,
( $false
| ~ spl0_52
| ~ spl0_45
| ~ spl0_62
| spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2393,f375]) ).
fof(f2395,plain,
( ~ spl0_52
| ~ spl0_45
| ~ spl0_62
| spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2397,plain,
( op(op(e0,e1),e1) = e0
| ~ spl0_5
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f222,f583]) ).
fof(f2398,plain,
( op(e1,e1) = e0
| ~ spl0_5
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f222,f2397]) ).
fof(f2399,plain,
( $false
| spl0_20
| ~ spl0_5
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f272]) ).
fof(f2400,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2399]) ).
fof(f2403,plain,
( e0 != op(e3,e3)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f245,f98]) ).
fof(f2425,plain,
( op(e3,e3) != e2
| ~ spl0_47
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f358,f2021]) ).
fof(f2426,plain,
( ~ spl0_62
| ~ spl0_47
| spl0_67 ),
inference(split_clause,[status(thm)],[f2425,f406,f357,f456]) ).
fof(f2427,plain,
( op(e3,e3) = e0
| ~ spl0_7
| ~ spl0_99 ),
inference(backward_demodulation,[status(thm)],[f228,f2318]) ).
fof(f2428,plain,
( spl0_60
| ~ spl0_7
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f2427,f400,f227,f582]) ).
fof(f2433,plain,
( op(e3,op(e0,e1)) = e0
| ~ spl0_7
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f228,f583]) ).
fof(f2434,plain,
( op(e3,e3) = e0
| ~ spl0_7
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f228,f2433]) ).
fof(f2435,plain,
( $false
| ~ spl0_12
| ~ spl0_7
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2434,f2403]) ).
fof(f2436,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2435]) ).
fof(f2437,plain,
( ~ spl0_31
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2338,f305,f292]) ).
fof(f2440,plain,
( ~ spl0_39
| ~ spl0_81
| spl0_73 ),
inference(split_clause,[status(thm)],[f1134,f331,f508,f478]) ).
fof(f2441,plain,
( e3 != op(e2,e1)
| ~ spl0_9
| ~ spl0_40
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f235,f2177]) ).
fof(f2442,plain,
( ~ spl0_39
| ~ spl0_9
| ~ spl0_40
| spl0_73 ),
inference(split_clause,[status(thm)],[f2441,f331,f234,f335,f478]) ).
fof(f2464,plain,
( op(op(e2,e1),e3) = e2
| ~ spl0_39
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f332,f591]) ).
fof(f2465,plain,
( op(e3,e3) = e2
| ~ spl0_39
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f332,f2464]) ).
fof(f2466,plain,
( $false
| ~ spl0_58
| ~ spl0_39
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2465,f2227]) ).
fof(f2467,plain,
( ~ spl0_58
| ~ spl0_39
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2504,plain,
( op(e1,op(e2,e3)) = e2
| ~ spl0_45
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f352,f457]) ).
fof(f2505,plain,
( e0 != op(e1,e3)
| ~ spl0_91
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f551,f538]) ).
fof(f2506,plain,
( $false
| ~ spl0_28
| ~ spl0_91
| spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f297]) ).
fof(f2507,plain,
( ~ spl0_28
| ~ spl0_91
| spl0_88 ),
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2514,plain,
( e0 != op(e3,e1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f219,f86]) ).
fof(f2515,plain,
( ~ spl0_52
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f2514,f374,f218]) ).
fof(f2517,plain,
( e2 != op(e3,e3)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f251,f98]) ).
fof(f2519,plain,
( op(op(e0,e3),e2) = e0
| ~ spl0_14
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f251,f449]) ).
fof(f2520,plain,
( op(e2,e2) = e0
| ~ spl0_14
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f251,f2519]) ).
fof(f2529,plain,
( op(op(e2,e3),e3) = e2
| ~ spl0_47
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f358,f457]) ).
fof(f2530,plain,
( op(e3,e3) = e2
| ~ spl0_47
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f358,f2529]) ).
fof(f2531,plain,
( $false
| ~ spl0_14
| ~ spl0_47
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2530,f2517]) ).
fof(f2532,plain,
( ~ spl0_14
| ~ spl0_47
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2531]) ).
fof(f2536,plain,
( e3 != op(e1,e1)
| ~ spl0_20
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f2154,f84]) ).
fof(f2551,plain,
( op(e1,op(e3,e1)) = e3
| ~ spl0_53
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f378,f595]) ).
fof(f2552,plain,
( op(e1,e1) = e3
| ~ spl0_53
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f378,f2551]) ).
fof(f2552_011,plain,
( op(e1,e1) = e3
| ~ spl0_53
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f378,f2551]) ).
fof(f2553,plain,
( $false
| ~ spl0_20
| ~ spl0_91
| ~ spl0_53
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f2536]) ).
fof(f2554,plain,
( ~ spl0_20
| ~ spl0_91
| ~ spl0_53
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2553]) ).
fof(f2567,plain,
( op(op(e3,e1),e3) = e3
| ~ spl0_55
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f384,f595]) ).
fof(f2568,plain,
( op(e3,e3) = e3
| ~ spl0_55
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f384,f2567]) ).
fof(f2569,plain,
( $false
| spl0_63
| ~ spl0_55
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2568,f411]) ).
fof(f2570,plain,
( spl0_63
| ~ spl0_55
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2569]) ).
fof(f2580,plain,
( spl0_23
| ~ spl0_53
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2552,f279,f377,f594]) ).
fof(f2581,plain,
( e0 != op(e2,e2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f323,f117]) ).
fof(f2584,plain,
( e2 != op(e3,e0)
| ~ spl0_36
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f2236,f80]) ).
fof(f2585,plain,
( ~ spl0_50
| ~ spl0_36
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2584,f367,f322,f590]) ).
fof(f2587,plain,
( e0 = e2
| ~ spl0_0
| ~ spl0_103
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f1606,f2236]) ).
fof(f2588,plain,
( $false
| ~ spl0_0
| ~ spl0_103
| ~ spl0_36
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2587,f127]) ).
fof(f2589,plain,
( ~ spl0_0
| ~ spl0_103
| ~ spl0_36
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2588]) ).
fof(f2606,plain,
( op(e1,e1) = e2
| ~ spl0_45
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f352,f2504]) ).
fof(f2607,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2606,f276,f351,f456]) ).
fof(f2612,plain,
( spl0_40
| ~ spl0_14
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f2520,f335,f250,f448]) ).
fof(f2637,plain,
( e0 != op(e3,e0)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f80]) ).
fof(f2638,plain,
( ~ spl0_48
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2637,f361,f205]) ).
fof(f2653,plain,
( $false
| ~ spl0_36
| ~ spl0_6
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2361,f2581]) ).
fof(f2654,plain,
( ~ spl0_36
| ~ spl0_6
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2653]) ).
fof(f2662,plain,
( spl0_20
| ~ spl0_9
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f929,f270,f234,f563]) ).
fof(f2681,plain,
( op(e1,e1) = e2
| ~ spl0_37
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f326,f2037]) ).
fof(f2682,plain,
( spl0_22
| ~ spl0_37
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2681,f276,f325,f590]) ).
fof(f2687,plain,
( op(e1,op(e2,e1)) = e2
| ~ spl0_37
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f326,f591]) ).
fof(f2688,plain,
( op(e1,e1) = e2
| ~ spl0_37
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f326,f2687]) ).
fof(f2689,plain,
( $false
| ~ spl0_6
| ~ spl0_37
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2688,f1066]) ).
fof(f2690,plain,
( ~ spl0_6
| ~ spl0_37
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2691,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,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,f474,f481,f485,f492,f496,f503,f511,f519,f523,f527,f535,f539,f543,f544,f549,f553,f554,f558,f559,f566,f570,f574,f578,f585,f589,f593,f597,f601,f605,f609,f613,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,f765,f771,f774,f778,f781,f783,f786,f788,f796,f800,f818,f820,f822,f830,f833,f842,f849,f850,f854,f856,f864,f866,f870,f878,f882,f900,f903,f907,f913,f919,f927,f941,f950,f958,f963,f967,f976,f980,f991,f1004,f1014,f1017,f1019,f1024,f1026,f1040,f1042,f1046,f1051,f1055,f1057,f1062,f1067,f1069,f1071,f1077,f1083,f1088,f1103,f1119,f1130,f1132,f1145,f1147,f1151,f1155,f1160,f1162,f1169,f1174,f1176,f1178,f1183,f1184,f1185,f1193,f1201,f1203,f1209,f1222,f1226,f1233,f1236,f1241,f1250,f1260,f1272,f1289,f1294,f1295,f1297,f1299,f1302,f1304,f1307,f1309,f1317,f1318,f1326,f1327,f1328,f1332,f1335,f1340,f1357,f1368,f1370,f1385,f1387,f1388,f1394,f1401,f1403,f1404,f1408,f1412,f1415,f1418,f1430,f1433,f1439,f1444,f1448,f1454,f1457,f1463,f1466,f1469,f1476,f1480,f1485,f1486,f1490,f1497,f1498,f1501,f1504,f1517,f1520,f1523,f1530,f1541,f1544,f1558,f1564,f1567,f1570,f1573,f1581,f1584,f1587,f1592,f1604,f1605,f1611,f1612,f1620,f1630,f1650,f1654,f1657,f1659,f1661,f1667,f1673,f1679,f1684,f1689,f1694,f1717,f1723,f1754,f1761,f1766,f1768,f1773,f1777,f1784,f1786,f1790,f1795,f1808,f1814,f1827,f1832,f1844,f1853,f1862,f1875,f1879,f1885,f1893,f1902,f1903,f1906,f1910,f1919,f1923,f1928,f1942,f1953,f1954,f1957,f1970,f1976,f1980,f1981,f1991,f2003,f2012,f2014,f2025,f2026,f2031,f2033,f2040,f2060,f2075,f2086,f2089,f2100,f2107,f2118,f2123,f2127,f2133,f2155,f2164,f2169,f2186,f2188,f2195,f2199,f2210,f2211,f2220,f2223,f2229,f2243,f2253,f2268,f2272,f2301,f2343,f2363,f2376,f2378,f2395,f2400,f2426,f2428,f2436,f2437,f2440,f2442,f2467,f2507,f2515,f2532,f2554,f2570,f2580,f2585,f2589,f2607,f2612,f2638,f2654,f2662,f2682,f2690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG137+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:25:26 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 3.44/0.78 % Refutation found
% 3.44/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.44/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.48/0.80 % Elapsed time: 0.462768 seconds
% 3.48/0.80 % CPU time: 3.561025 seconds
% 3.48/0.80 % Total memory used: 42.805 MB
% 3.48/0.80 % Net memory used: 41.012 MB
%------------------------------------------------------------------------------