TSTP Solution File: ALG024+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:08:59 EDT 2024
% Result : Unsatisfiable 3.10s 0.75s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 126
% Syntax : Number of formulae : 1074 ( 89 unt; 0 def)
% Number of atoms : 2804 (1201 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 3414 (1684 ~;1385 |; 226 &)
% ( 103 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 105 ( 103 usr; 104 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 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(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
inv(unit) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( inv(inv(e0)) = e0
& inv(inv(e1)) = e1
& inv(inv(e2)) = e2
& inv(inv(e3)) = e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( ( inv(e0) = e0
=> inv(e0) = e0 )
& ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e1) = e1
=> inv(e1) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e2
=> inv(e2) = e2 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 )
& ( inv(e3) = e3
=> inv(e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( inv(e0) != inv(e1)
& inv(e0) != inv(e2)
& inv(e0) != inv(e3)
& inv(e1) != inv(e2)
& inv(e1) != inv(e3)
& inv(e2) != inv(e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,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(f10,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f38,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f47,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f48,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f49,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f50,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f51,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f52,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f83,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f94,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f99,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f115,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f116,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
op(e0,inv(e0)) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f126,plain,
op(inv(e0),e0) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
op(e1,inv(e1)) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
op(inv(e1),e1) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
op(e2,inv(e2)) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
op(inv(e2),e2) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
op(e3,inv(e3)) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
op(inv(e3),e3) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f133,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f134,plain,
( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f135,plain,
( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f136,plain,
( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
inv(unit) = unit,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
inv(inv(e0)) = e0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f139,plain,
inv(inv(e1)) = e1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f140,plain,
inv(inv(e2)) = e2,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f141,plain,
inv(inv(e3)) = e3,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f142,plain,
( ( inv(e0) != e0
| inv(e0) = e0 )
& ( inv(e0) != e1
| inv(e1) = e0 )
& ( inv(e0) != e2
| inv(e2) = e0 )
& ( inv(e0) != e3
| inv(e3) = e0 )
& ( inv(e1) != e0
| inv(e0) = e1 )
& ( inv(e1) != e1
| inv(e1) = e1 )
& ( inv(e1) != e2
| inv(e2) = e1 )
& ( inv(e1) != e3
| inv(e3) = e1 )
& ( inv(e2) != e0
| inv(e0) = e2 )
& ( inv(e2) != e1
| inv(e1) = e2 )
& ( inv(e2) != e2
| inv(e2) = e2 )
& ( inv(e2) != e3
| inv(e3) = e2 )
& ( inv(e3) != e0
| inv(e0) = e3 )
& ( inv(e3) != e1
| inv(e1) = e3 )
& ( inv(e3) != e2
| inv(e2) = e3 )
& ( inv(e3) != e3
| inv(e3) = e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f144,plain,
( inv(e0) != e1
| inv(e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f145,plain,
( inv(e0) != e2
| inv(e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f146,plain,
( inv(e0) != e3
| inv(e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f147,plain,
( inv(e1) != e0
| inv(e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f149,plain,
( inv(e1) != e2
| inv(e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f151,plain,
( inv(e2) != e0
| inv(e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f152,plain,
( inv(e2) != e1
| inv(e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f154,plain,
( inv(e2) != e3
| inv(e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f155,plain,
( inv(e3) != e0
| inv(e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f156,plain,
( inv(e3) != e1
| inv(e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f159,plain,
inv(e0) != inv(e1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f160,plain,
inv(e0) != inv(e2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f161,plain,
inv(e0) != inv(e3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f162,plain,
inv(e1) != inv(e2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f163,plain,
inv(e1) != inv(e3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f164,plain,
inv(e2) != inv(e3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f165,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f166,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f167,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f168,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f169,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f170,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f171,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f172,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f173,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f174,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f175,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f176,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f177,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f178,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f179,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f180,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f181,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f182,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f183,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f184,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f185,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f186,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f187,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f188,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f189,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f190,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f191,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f192,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f193,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f194,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f195,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f196,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f198,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f199,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f200,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f201,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f202,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f203,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f204,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f205,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f206,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f207,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f208,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f209,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f210,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f211,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f212,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f213,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f214,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f215,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f217,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f218,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f219,plain,
( ( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 )
& ( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 )
& ( op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3
| op(e3,e3) != e3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f220,plain,
( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f219]) ).
fof(f221,plain,
( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f219]) ).
fof(f222,plain,
( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f219]) ).
fof(f223,plain,
( op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f219]) ).
fof(f226,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f227,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f228,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f229,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f228]) ).
fof(f230,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f231,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f236,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f237,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f244,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f245,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f246,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f247,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f248,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f249,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f250,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f251,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f250]) ).
fof(f254,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f255,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f264,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f265,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f266,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f267,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f268,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f269,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f268]) ).
fof(f272,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f276,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f282,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f36,f272,f275,f278,f281]) ).
fof(f285,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f286,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f289,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f295,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f37,f285,f288,f291,f294]) ).
fof(f298,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f302,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f38,f298,f301,f304,f307]) ).
fof(f311,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f318,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f321,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f39,f311,f314,f317,f320]) ).
fof(f324,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( op(e1,e0) != e2
| spl0_18 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f40,f324,f327,f330,f333]) ).
fof(f337,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( op(e1,e1) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f347,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f41,f337,f340,f343,f346]) ).
fof(f350,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f42,f350,f353,f356,f359]) ).
fof(f363,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( op(e1,e3) != e0
| spl0_28 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f43,f363,f366,f369,f372]) ).
fof(f376,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f44,f376,f379,f382,f385]) ).
fof(f389,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f45,f389,f392,f395,f398]) ).
fof(f402,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op(e2,e2) = e2
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f46,f402,f405,f408,f411]) ).
fof(f415,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f47,f415,f418,f421,f424]) ).
fof(f428,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f48,f428,f431,f434,f437]) ).
fof(f441,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f49,f441,f444,f447,f450]) ).
fof(f454,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f50,f454,f457,f460,f463]) ).
fof(f467,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op(e3,e3) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f51,f467,f470,f473,f476]) ).
fof(f480,plain,
( spl0_64
<=> unit = e0 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( unit = e0
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_65
<=> unit = e1 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( unit = e1
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( unit != e1
| spl0_65 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_66
<=> unit = e2 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( unit = e2
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_67
<=> unit = e3 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( unit = e3
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f124,f480,f483,f486,f489]) ).
fof(f493,plain,
( spl0_68
<=> inv(e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( inv(e0) = e0
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_69
<=> inv(e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( spl0_70
<=> inv(e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( inv(e0) = e2
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_71
<=> inv(e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f133,f493,f496,f499,f502]) ).
fof(f506,plain,
( spl0_72
<=> inv(e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( inv(e1) = e0
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_73
<=> inv(e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( inv(e1) = e1
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( inv(e1) != e1
| spl0_73 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_74
<=> inv(e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( inv(e1) = e2
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_75
<=> inv(e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( inv(e1) = e3
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f134,f506,f509,f512,f515]) ).
fof(f519,plain,
( spl0_76
<=> inv(e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( inv(e2) = e0
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_77
<=> inv(e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( inv(e2) = e1
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_78
<=> inv(e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( inv(e2) = e2
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_79
<=> inv(e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( inv(e2) = e3
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f135,f519,f522,f525,f528]) ).
fof(f532,plain,
( spl0_80
<=> inv(e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( inv(e3) = e0
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_81
<=> inv(e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( inv(e3) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_82
<=> inv(e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( inv(e3) = e2
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_83
<=> inv(e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( inv(e3) = e3
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f136,f532,f535,f538,f541]) ).
fof(f546,plain,
( ~ spl0_69
| spl0_72 ),
inference(split_clause,[status(thm)],[f144,f496,f506]) ).
fof(f547,plain,
( ~ spl0_70
| spl0_76 ),
inference(split_clause,[status(thm)],[f145,f499,f519]) ).
fof(f548,plain,
( ~ spl0_71
| spl0_80 ),
inference(split_clause,[status(thm)],[f146,f502,f532]) ).
fof(f549,plain,
( ~ spl0_72
| spl0_69 ),
inference(split_clause,[status(thm)],[f147,f506,f496]) ).
fof(f551,plain,
( ~ spl0_74
| spl0_77 ),
inference(split_clause,[status(thm)],[f149,f512,f522]) ).
fof(f553,plain,
( ~ spl0_76
| spl0_70 ),
inference(split_clause,[status(thm)],[f151,f519,f499]) ).
fof(f554,plain,
( ~ spl0_77
| spl0_74 ),
inference(split_clause,[status(thm)],[f152,f522,f512]) ).
fof(f556,plain,
( ~ spl0_79
| spl0_82 ),
inference(split_clause,[status(thm)],[f154,f528,f538]) ).
fof(f557,plain,
( ~ spl0_80
| spl0_71 ),
inference(split_clause,[status(thm)],[f155,f532,f502]) ).
fof(f558,plain,
( ~ spl0_81
| spl0_75 ),
inference(split_clause,[status(thm)],[f156,f535,f515]) ).
fof(f561,plain,
( ~ spl0_0
| ~ spl0_20
| ~ spl0_40
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f220,f272,f337,f402,f467]) ).
fof(f562,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_41
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f221,f275,f340,f405,f470]) ).
fof(f563,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_42
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f222,f278,f343,f408,f473]) ).
fof(f564,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_43
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f223,f281,f346,f411,f476]) ).
fof(f568,plain,
( spl0_85
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( e1 != op(e2,op(e2,e2))
| spl0_85 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f572,plain,
( spl0_86
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| spl0_86 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( spl0_87
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( e1 != op(e3,op(e3,e3))
| spl0_87 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ spl0_86
| ~ spl0_87
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f227,f572,f575,f473]) ).
fof(f579,plain,
( spl0_88
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| spl0_88 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_89
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f584,plain,
( e2 != op(e1,op(e1,e1))
| spl0_89 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ spl0_88
| ~ spl0_89
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f229,f579,f582,f346]) ).
fof(f586,plain,
( spl0_90
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( e2 != op(e3,op(e3,e3))
| spl0_90 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ spl0_86
| ~ spl0_90
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f231,f572,f586,f470]) ).
fof(f594,plain,
( spl0_92
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( e3 != op(e2,op(e2,e2))
| spl0_92 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f598,plain,
( spl0_93
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f600,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| spl0_93 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_94
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( e0 != op(e2,op(e2,e2))
| spl0_94 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( ~ spl0_93
| ~ spl0_94
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f237,f598,f601,f411]) ).
fof(f608,plain,
( spl0_96
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( e0 != op(e3,op(e3,e3))
| spl0_96 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f612,plain,
( spl0_97
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| spl0_97 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_98
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f617,plain,
( e2 != op(e0,op(e0,e0))
| spl0_98 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f620,plain,
( spl0_99
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f622,plain,
( e3 != op(e0,op(e0,e0))
| spl0_99 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( ~ spl0_97
| ~ spl0_99
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f245,f612,f620,f278]) ).
fof(f624,plain,
( ~ spl0_93
| ~ spl0_92
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f247,f598,f594,f402]) ).
fof(f625,plain,
( spl0_100
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| spl0_100 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( spl0_101
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( e0 != op(e1,op(e1,e1))
| spl0_101 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( ~ spl0_100
| ~ spl0_101
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f249,f625,f628,f346]) ).
fof(f632,plain,
( spl0_102
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| spl0_102 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( ~ spl0_102
| ~ spl0_96
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f251,f632,f608,f470]) ).
fof(f639,plain,
( spl0_104
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f641,plain,
( e1 != op(e0,op(e0,e0))
| spl0_104 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f643,plain,
( ~ spl0_102
| ~ spl0_87
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f255,f632,f575,f467]) ).
fof(f650,plain,
( spl0_106
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| spl0_106 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f654,plain,
( spl0_107
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| spl0_107 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ spl0_107
| ~ spl0_104
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f265,f654,f639,f278]) ).
fof(f658,plain,
( ~ spl0_106
| ~ spl0_85
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f267,f650,f568,f402]) ).
fof(f659,plain,
( ~ spl0_107
| ~ spl0_98
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f269,f654,f615,f275]) ).
fof(f671,plain,
( op(e0,e1) = e1
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f118]) ).
fof(f672,plain,
( op(e1,e0) = e1
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f119]) ).
fof(f673,plain,
( op(e0,e2) = e2
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f120]) ).
fof(f674,plain,
( op(e2,e0) = e2
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f121]) ).
fof(f675,plain,
( op(e0,e3) = e3
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f122]) ).
fof(f676,plain,
( op(e3,e0) = e3
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f123]) ).
fof(f699,plain,
( op(inv(e3),e3) = e0
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f132]) ).
fof(f728,plain,
( inv(e2) = unit
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f137]) ).
fof(f729,plain,
( inv(e2) = e2
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f728]) ).
fof(f729_001,plain,
( inv(e2) = e2
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f728]) ).
fof(f733,plain,
( op(e3,e2) = e3
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f123]) ).
fof(f736,plain,
( op(e2,e3) = e3
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f122]) ).
fof(f736_002,plain,
( op(e2,e3) = e3
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f122]) ).
fof(f737,plain,
( op(e2,e2) = e2
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f121]) ).
fof(f738,plain,
( op(e1,e2) != e2
| ~ spl0_66 ),
inference(paramodulation,[status(thm)],[f737,f180]) ).
fof(f741,plain,
( op(e1,e2) = e1
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f119]) ).
fof(f741_003,plain,
( op(e1,e2) = e1
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f119]) ).
fof(f743,plain,
( op(e2,e1) = e1
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f118]) ).
fof(f745,plain,
( op(e0,e1) != e1
| ~ spl0_66 ),
inference(paramodulation,[status(thm)],[f743,f172]) ).
fof(f746,plain,
( op(e0,e2) = e0
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f117]) ).
fof(f747,plain,
( op(e2,e0) = e0
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f116]) ).
fof(f750,plain,
( op(e3,e3) = unit
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f542,f132]) ).
fof(f751,plain,
( op(e3,e3) = e2
| ~ spl0_66
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f487,f750]) ).
fof(f759,plain,
( op(e1,inv(e1)) = e2
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f127]) ).
fof(f761,plain,
( op(e0,inv(e0)) = e2
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f125]) ).
fof(f774,plain,
( op(e0,e1) != e0
| ~ spl0_66 ),
inference(paramodulation,[status(thm)],[f746,f192]) ).
fof(f775,plain,
( op(e1,e0) != e1
| ~ spl0_66 ),
inference(paramodulation,[status(thm)],[f741,f196]) ).
fof(f794,plain,
( op(e1,e1) = e2
| ~ spl0_73
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f510,f759]) ).
fof(f797,plain,
( inv(e0) != e1
| ~ spl0_73 ),
inference(paramodulation,[status(thm)],[f510,f159]) ).
fof(f798,plain,
( op(e0,e0) = e2
| ~ spl0_68
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f494,f761]) ).
fof(f808,plain,
( e2 != op(op(e1,e1),e1)
| spl0_89 ),
inference(backward_demodulation,[status(thm)],[f73,f584]) ).
fof(f848,plain,
( op(e3,e3) = op(e2,op(e3,e3))
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f736,f99]) ).
fof(f878,plain,
( e0 = e3
| ~ spl0_80
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f533,f542]) ).
fof(f879,plain,
( $false
| ~ spl0_80
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f215]) ).
fof(f880,plain,
( ~ spl0_80
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( e1 = e3
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f510,f516]) ).
fof(f883,plain,
( $false
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f217]) ).
fof(f884,plain,
( ~ spl0_73
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f892,plain,
( e0 = e2
| ~ spl0_76
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f520,f729]) ).
fof(f893,plain,
( $false
| ~ spl0_76
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f214]) ).
fof(f894,plain,
( ~ spl0_76
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( op(e0,e0) = unit
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f494,f125]) ).
fof(f899,plain,
( op(inv(e2),e2) = e1
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f130]) ).
fof(f903,plain,
( op(e3,e1) = e3
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f123]) ).
fof(f904,plain,
( op(e1,e3) = e3
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f122]) ).
fof(f907,plain,
( op(e2,e1) = e2
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f121]) ).
fof(f908,plain,
( op(e1,e2) = e2
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f120]) ).
fof(f911,plain,
( op(e0,e1) = e0
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f117]) ).
fof(f912,plain,
( op(e1,e0) = e0
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f116]) ).
fof(f913,plain,
( inv(unit) = e1
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f137]) ).
fof(f914,plain,
( inv(e1) = e1
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f484,f913]) ).
fof(f919,plain,
( inv(e0) != e1
| ~ spl0_81 ),
inference(paramodulation,[status(thm)],[f536,f161]) ).
fof(f922,plain,
( e1 != op(op(e2,e2),e2)
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f94,f570]) ).
fof(f926,plain,
( inv(e0) != e3
| ~ spl0_75 ),
inference(paramodulation,[status(thm)],[f516,f159]) ).
fof(f935,plain,
( $false
| spl0_73
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f511]) ).
fof(f936,plain,
( spl0_73
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( op(e2,e2) = unit
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f526,f130]) ).
fof(f938,plain,
( op(e2,e2) = unit
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f526,f129]) ).
fof(f940,plain,
( op(e1,e3) = unit
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f516,f127]) ).
fof(f942,plain,
( op(e1,e3) = unit
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f536,f132]) ).
fof(f948,plain,
( op(e1,e3) = e0
| ~ spl0_81
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f536,f699]) ).
fof(f955,plain,
( inv(unit) = e0
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f481,f137]) ).
fof(f970,plain,
( op(e3,e1) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f464,f210]) ).
fof(f971,plain,
( op(e3,e0) != e3
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f464,f208]) ).
fof(f975,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f461,f464]) ).
fof(f976,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f218]) ).
fof(f977,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f978,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| spl0_106 ),
inference(forward_demodulation,[status(thm)],[f94,f652]) ).
fof(f987,plain,
( op(e3,e1) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f458,f210]) ).
fof(f988,plain,
( op(e3,e0) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f458,f208]) ).
fof(f989,plain,
( op(e2,e2) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f458,f182]) ).
fof(f990,plain,
( op(e1,e2) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f458,f181]) ).
fof(f992,plain,
( e0 = e1
| ~ spl0_56
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f455,f458]) ).
fof(f993,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f213]) ).
fof(f994,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f1006,plain,
( op(e1,e1) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f451,f175]) ).
fof(f1007,plain,
( op(e0,e1) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f451,f173]) ).
fof(f1013,plain,
( op(e3,e0) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f445,f207]) ).
fof(f1014,plain,
( op(e2,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f445,f176]) ).
fof(f1016,plain,
( op(e0,e1) != e1
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f445,f173]) ).
fof(f1017,plain,
( e0 = e1
| ~ spl0_52
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f442,f445]) ).
fof(f1018,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f213]) ).
fof(f1019,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1030,plain,
( op(e1,e0) != e3
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f438,f169]) ).
fof(f1037,plain,
( op(e0,e0) != e1
| ~ spl0_49 ),
inference(paramodulation,[status(thm)],[f432,f167]) ).
fof(f1038,plain,
( e0 != op(op(e2,e2),e2)
| spl0_94 ),
inference(forward_demodulation,[status(thm)],[f94,f603]) ).
fof(f1059,plain,
( op(e1,e3) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f425,f186]) ).
fof(f1060,plain,
( op(e0,e3) != e3
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f425,f184]) ).
fof(f1061,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f422,f425]) ).
fof(f1062,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f218]) ).
fof(f1063,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( e0 != op(op(e1,e1),e1)
| spl0_101 ),
inference(forward_demodulation,[status(thm)],[f73,f630]) ).
fof(f1066,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f73,f627]) ).
fof(f1067,plain,
( op(e1,e3) = op(e2,op(e3,e3))
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f419,f99]) ).
fof(f1086,plain,
( op(e2,e0) != e3
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f399,f201]) ).
fof(f1087,plain,
( op(e1,e1) != e3
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f399,f174]) ).
fof(f1088,plain,
( op(e0,e1) != e3
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f399,f172]) ).
fof(f1089,plain,
( e2 = e3
| ~ spl0_38
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f396,f399]) ).
fof(f1090,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f218]) ).
fof(f1091,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1101,plain,
( op(e1,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f393,f174]) ).
fof(f1102,plain,
( op(e0,e1) != e1
| ~ spl0_37 ),
inference(paramodulation,[status(thm)],[f393,f172]) ).
fof(f1113,plain,
( op(e1,e0) != e3
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f386,f168]) ).
fof(f1115,plain,
( e2 = e3
| ~ spl0_34
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f383,f386]) ).
fof(f1116,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f218]) ).
fof(f1117,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1125,plain,
( op(e1,e0) != e1
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f380,f168]) ).
fof(f1126,plain,
( op(e0,e0) != e1
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f380,f166]) ).
fof(f1127,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f377,f380]) ).
fof(f1128,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f213]) ).
fof(f1129,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1140,plain,
( op(e1,e0) != e3
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f373,f197]) ).
fof(f1141,plain,
( op(e0,e3) != e3
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f373,f183]) ).
fof(f1147,plain,
( op(e1,e2) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f367,f200]) ).
fof(f1158,plain,
( op(e1,e1) != e3
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f360,f198]) ).
fof(f1159,plain,
( op(e1,e0) != e3
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f360,f196]) ).
fof(f1161,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f357,f360]) ).
fof(f1162,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f218]) ).
fof(f1163,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1162]) ).
fof(f1164,plain,
( op(e1,e1) != e1
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f354,f198]) ).
fof(f1165,plain,
( op(e1,e0) != e1
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f354,f196]) ).
fof(f1167,plain,
( e1 != op(op(e3,e3),e3)
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f115,f577]) ).
fof(f1168,plain,
( op(op(e1,e1),e2) = op(e1,e1)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f354,f74]) ).
fof(f1183,plain,
( op(e0,e0) != e3
| ~ spl0_19 ),
inference(paramodulation,[status(thm)],[f334,f165]) ).
fof(f1184,plain,
( e2 = e3
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f331,f334]) ).
fof(f1185,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1184,f218]) ).
fof(f1186,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1196,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f325,f328]) ).
fof(f1197,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1196,f213]) ).
fof(f1198,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1205,plain,
( op(e0,e1) != e3
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f321,f193]) ).
fof(f1210,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| spl0_102 ),
inference(forward_demodulation,[status(thm)],[f115,f634]) ).
fof(f1215,plain,
( op(e0,e1) != e1
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f315,f193]) ).
fof(f1216,plain,
( op(e0,e0) != e1
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f315,f191]) ).
fof(f1217,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f312,f315]) ).
fof(f1218,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f213]) ).
fof(f1219,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1223,plain,
( op(e0,e0) != e3
| ~ spl0_11 ),
inference(paramodulation,[status(thm)],[f308,f190]) ).
fof(f1224,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f305,f308]) ).
fof(f1225,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f218]) ).
fof(f1226,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1229,plain,
( op(e0,e1) != e1
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f302,f192]) ).
fof(f1230,plain,
( op(e0,e0) != e1
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f302,f190]) ).
fof(f1231,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f299,f302]) ).
fof(f1232,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f213]) ).
fof(f1233,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1241,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f292,f295]) ).
fof(f1242,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f218]) ).
fof(f1243,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1248,plain,
( op(e0,e0) != e1
| ~ spl0_5 ),
inference(paramodulation,[status(thm)],[f289,f189]) ).
fof(f1249,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f286,f289]) ).
fof(f1250,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1249,f213]) ).
fof(f1251,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1250]) ).
fof(f1261,plain,
( e0 != op(op(e3,e3),e3)
| spl0_96 ),
inference(forward_demodulation,[status(thm)],[f115,f610]) ).
fof(f1262,plain,
( e3 != op(op(e2,e2),e2)
| spl0_92 ),
inference(forward_demodulation,[status(thm)],[f94,f596]) ).
fof(f1263,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f94,f600]) ).
fof(f1268,plain,
( e0 != op(e3,e2)
| ~ spl0_43
| spl0_94 ),
inference(backward_demodulation,[status(thm)],[f412,f1038]) ).
fof(f1275,plain,
( op(e2,e1) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f412,f204]) ).
fof(f1276,plain,
( op(e2,e0) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f412,f202]) ).
fof(f1277,plain,
( op(e1,e2) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f412,f180]) ).
fof(f1278,plain,
( op(e0,e2) != e3
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f412,f178]) ).
fof(f1280,plain,
( op(op(e1,e1),e2) = e2
| ~ spl0_22
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f344,f1168]) ).
fof(f1281,plain,
( op(e2,e2) = e2
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f344,f1280]) ).
fof(f1290,plain,
( op(e1,e0) != e2
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f344,f195]) ).
fof(f1291,plain,
( op(e0,e1) != e2
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f344,f171]) ).
fof(f1292,plain,
( e2 != op(op(e3,e3),e3)
| spl0_90 ),
inference(forward_demodulation,[status(thm)],[f115,f588]) ).
fof(f1297,plain,
( e1 != op(e2,e3)
| ~ spl0_62
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f474,f1167]) ).
fof(f1304,plain,
( op(e3,e2) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f474,f212]) ).
fof(f1306,plain,
( op(e3,e0) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f474,f209]) ).
fof(f1310,plain,
( e3 = unit
| ~ spl0_3
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f282,f895]) ).
fof(f1311,plain,
( e3 = e0
| ~ spl0_64
| ~ spl0_3
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f481,f1310]) ).
fof(f1312,plain,
( $false
| ~ spl0_64
| ~ spl0_3
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f215]) ).
fof(f1313,plain,
( ~ spl0_64
| ~ spl0_3
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( inv(e0) = e0
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f955]) ).
fof(f1314_004,plain,
( inv(e0) = e0
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f481,f955]) ).
fof(f1315,plain,
( ~ spl0_69
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f919,f496,f535]) ).
fof(f1318,plain,
( inv(e1) != e2
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f526,f162]) ).
fof(f1319,plain,
( ~ spl0_74
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f1318,f512,f525]) ).
fof(f1322,plain,
( inv(e0) != e0
| ~ spl0_76 ),
inference(paramodulation,[status(thm)],[f520,f160]) ).
fof(f1332,plain,
( inv(e0) = e1
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f507,f139]) ).
fof(f1333,plain,
( e0 = e1
| ~ spl0_64
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f1314,f1332]) ).
fof(f1334,plain,
( $false
| ~ spl0_64
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1333,f213]) ).
fof(f1335,plain,
( ~ spl0_64
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( spl0_8
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f746,f298,f486]) ).
fof(f1337,plain,
( spl0_32
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f747,f376,f486]) ).
fof(f1344,plain,
( inv(e1) != e0
| ~ spl0_80 ),
inference(paramodulation,[status(thm)],[f533,f163]) ).
fof(f1346,plain,
( spl0_38
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f907,f395,f483]) ).
fof(f1347,plain,
( spl0_26
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f908,f356,f483]) ).
fof(f1348,plain,
( spl0_4
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f911,f285,f483]) ).
fof(f1349,plain,
( spl0_16
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f912,f324,f483]) ).
fof(f1350,plain,
( spl0_10
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f673,f304,f480]) ).
fof(f1351,plain,
( spl0_34
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f674,f382,f480]) ).
fof(f1356,plain,
( op(e2,e0) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f396,f201]) ).
fof(f1357,plain,
( op(e1,e1) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f396,f174]) ).
fof(f1358,plain,
( e2 != e2
| ~ spl0_22
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f344,f1357]) ).
fof(f1359,plain,
( $false
| ~ spl0_22
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1358]) ).
fof(f1360,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1361,plain,
( op(e0,e1) != e2
| ~ spl0_38 ),
inference(paramodulation,[status(thm)],[f396,f172]) ).
fof(f1363,plain,
( op(e1,e0) != e2
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f357,f196]) ).
fof(f1364,plain,
( op(e0,e2) != e2
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f357,f177]) ).
fof(f1365,plain,
( op(e0,e0) != e0
| ~ spl0_4 ),
inference(paramodulation,[status(thm)],[f286,f189]) ).
fof(f1368,plain,
( op(inv(e0),e0) = e1
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f126]) ).
fof(f1391,plain,
( inv(e0) != e0
| ~ spl0_80 ),
inference(paramodulation,[status(thm)],[f533,f161]) ).
fof(f1398,plain,
( inv(e3) = e2
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f529,f140]) ).
fof(f1399,plain,
( e0 = e2
| ~ spl0_80
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f533,f1398]) ).
fof(f1400,plain,
( $false
| ~ spl0_80
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f214]) ).
fof(f1401,plain,
( ~ spl0_80
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1405,plain,
( inv(e2) != e2
| ~ spl0_82 ),
inference(paramodulation,[status(thm)],[f539,f164]) ).
fof(f1415,plain,
( ~ spl0_5
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f745,f288,f486]) ).
fof(f1416,plain,
( ~ spl0_17
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f775,f327,f486]) ).
fof(f1417,plain,
( op(e0,e1) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f299,f192]) ).
fof(f1418,plain,
( op(e0,e0) != e0
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f299,f190]) ).
fof(f1419,plain,
( op(e1,e0) != e0
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f377,f168]) ).
fof(f1420,plain,
( op(e0,e0) != e0
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f377,f166]) ).
fof(f1421,plain,
( ~ spl0_71
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f926,f502,f515]) ).
fof(f1423,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1165,f327,f353]) ).
fof(f1424,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1102,f288,f392]) ).
fof(f1425,plain,
( spl0_22
| ~ spl0_73
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f794,f343,f509,f486]) ).
fof(f1427,plain,
( op(e2,e0) != e0
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f390,f201]) ).
fof(f1428,plain,
( ~ spl0_32
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1427,f376,f389]) ).
fof(f1429,plain,
( op(e0,e1) != e0
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f390,f172]) ).
fof(f1430,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1429,f285,f389]) ).
fof(f1431,plain,
( op(e1,e0) != e0
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f351,f196]) ).
fof(f1432,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1431,f324,f350]) ).
fof(f1433,plain,
( op(e0,e2) != e0
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f351,f177]) ).
fof(f1434,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1433,f298,f350]) ).
fof(f1435,plain,
( ~ spl0_72
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1344,f506,f532]) ).
fof(f1439,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f797,f496,f509]) ).
fof(f1442,plain,
( spl0_5
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f671,f288,f480]) ).
fof(f1443,plain,
( spl0_17
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f672,f327,f480]) ).
fof(f1446,plain,
( op(e0,e1) != e2
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f305,f192]) ).
fof(f1447,plain,
( op(e0,e0) != e2
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f305,f190]) ).
fof(f1448,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1447,f278,f304]) ).
fof(f1449,plain,
( op(e1,e0) != e2
| ~ spl0_34 ),
inference(paramodulation,[status(thm)],[f383,f168]) ).
fof(f1453,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1248,f275,f288]) ).
fof(f1455,plain,
( ~ spl0_4
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f774,f285,f486]) ).
fof(f1456,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1417,f285,f298]) ).
fof(f1457,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1419,f324,f376]) ).
fof(f1458,plain,
( inv(e2) = e3
| ~ spl0_82 ),
inference(backward_demodulation,[status(thm)],[f539,f141]) ).
fof(f1462,plain,
( spl0_68
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f1314,f493,f480]) ).
fof(f1463,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1230,f275,f301]) ).
fof(f1464,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1126,f275,f379]) ).
fof(f1466,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1290,f330,f343]) ).
fof(f1467,plain,
( ~ spl0_6
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1291,f291,f343]) ).
fof(f1468,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1449,f330,f382]) ).
fof(f1469,plain,
( op(e0,e0) != e2
| ~ spl0_6 ),
inference(paramodulation,[status(thm)],[f292,f189]) ).
fof(f1470,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f1446,f291,f304]) ).
fof(f1472,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f73,f581]) ).
fof(f1473,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f115,f574]) ).
fof(f1488,plain,
( op(inv(e3),e3) = e1
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f484,f132]) ).
fof(f1523,plain,
( op(e0,e2) != e1
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f458,f179]) ).
fof(f1524,plain,
( ~ spl0_9
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1523,f301,f457]) ).
fof(f1525,plain,
( op(e3,e1) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f455,f210]) ).
fof(f1528,plain,
( op(e0,e2) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f455,f179]) ).
fof(f1539,plain,
( $false
| ~ spl0_53
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f1013]) ).
fof(f1540,plain,
( ~ spl0_53
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( op(e2,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f429,f170]) ).
fof(f1542,plain,
( op(e1,e0) != e0
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f429,f169]) ).
fof(f1543,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1542,f324,f428]) ).
fof(f1547,plain,
( op(e2,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f442,f176]) ).
fof(f1548,plain,
( op(e0,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f442,f173]) ).
fof(f1549,plain,
( ~ spl0_4
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1548,f285,f441]) ).
fof(f1551,plain,
( op(e2,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f448,f176]) ).
fof(f1552,plain,
( ~ spl0_38
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1551,f395,f447]) ).
fof(f1553,plain,
( op(e1,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f448,f175]) ).
fof(f1554,plain,
( op(e0,e1) != e2
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f448,f173]) ).
fof(f1597,plain,
( op(e2,e3) = e3
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f487,f122]) ).
fof(f1601,plain,
( op(e2,e2) != e3
| ~ spl0_66 ),
inference(paramodulation,[status(thm)],[f1597,f206]) ).
fof(f1602,plain,
( ~ spl0_43
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1601,f411,f486]) ).
fof(f1608,plain,
( ~ spl0_68
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f1322,f493,f519]) ).
fof(f1610,plain,
( spl0_28
| ~ spl0_81
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f948,f363,f535,f480]) ).
fof(f1612,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1547,f389,f441]) ).
fof(f1613,plain,
( inv(e2) = e0
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f500,f138]) ).
fof(f1615,plain,
( ~ spl0_22
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1553,f343,f447]) ).
fof(f1616,plain,
( ~ spl0_68
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1391,f493,f532]) ).
fof(f1619,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1469,f278,f291]) ).
fof(f1645,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1356,f382,f395]) ).
fof(f1646,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1229,f288,f301]) ).
fof(f1650,plain,
( ~ spl0_56
| ~ spl0_43
| spl0_94 ),
inference(split_clause,[status(thm)],[f1268,f454,f411,f601]) ).
fof(f1651,plain,
( op(e2,e0) != e2
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f435,f170]) ).
fof(f1653,plain,
( op(e0,e0) != e2
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f435,f167]) ).
fof(f1654,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1653,f278,f434]) ).
fof(f1655,plain,
( ~ spl0_49
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f988,f431,f457]) ).
fof(f1656,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f989,f405,f457]) ).
fof(f1657,plain,
( ~ spl0_25
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f990,f353,f457]) ).
fof(f1658,plain,
( op(e3,e3) = op(e1,e3)
| ~ spl0_45
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f1067,f848]) ).
fof(f1659,plain,
( $false
| ~ spl0_45
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1658,f187]) ).
fof(f1660,plain,
( ~ spl0_45
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1661,plain,
( ~ spl0_26
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f738,f356,f486]) ).
fof(f1662,plain,
( spl0_25
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f741,f353,f486]) ).
fof(f1665,plain,
( ~ spl0_37
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1014,f392,f444]) ).
fof(f1666,plain,
( ~ spl0_32
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1541,f376,f428]) ).
fof(f1669,plain,
( ~ spl0_18
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1363,f330,f356]) ).
fof(f1670,plain,
( op(e2,e2) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f416,f206]) ).
fof(f1671,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1670,f402,f415]) ).
fof(f1673,plain,
( op(e2,e0) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f416,f203]) ).
fof(f1674,plain,
( ~ spl0_32
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1673,f376,f415]) ).
fof(f1675,plain,
( op(e1,e3) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f416,f186]) ).
fof(f1676,plain,
( op(e0,e3) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f416,f184]) ).
fof(f1677,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1651,f382,f434]) ).
fof(f1681,plain,
( spl0_51
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f676,f437,f480]) ).
fof(f1684,plain,
( ~ spl0_52
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1525,f441,f454]) ).
fof(f1685,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1528,f298,f454]) ).
fof(f1686,plain,
( op(e2,e2) != e0
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f455,f182]) ).
fof(f1687,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1686,f402,f454]) ).
fof(f1688,plain,
( ~ spl0_1
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1037,f275,f431]) ).
fof(f1689,plain,
( spl0_78
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f729,f525,f486]) ).
fof(f1691,plain,
( spl0_47
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f736,f424,f486]) ).
fof(f1696,plain,
( spl0_2
| ~ spl0_68
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f798,f278,f493,f486]) ).
fof(f1699,plain,
( op(e2,e1) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f422,f205]) ).
fof(f1700,plain,
( op(e2,e0) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f422,f203]) ).
fof(f1701,plain,
( op(e1,e3) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f422,f186]) ).
fof(f1702,plain,
( op(e0,e3) != e2
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f422,f184]) ).
fof(f1703,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1364,f304,f356]) ).
fof(f1704,plain,
( ~ spl0_53
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f987,f444,f457]) ).
fof(f1705,plain,
( spl0_59
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f733,f463,f486]) ).
fof(f1708,plain,
( op(e3,e0) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f461,f208]) ).
fof(f1709,plain,
( ~ spl0_50
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1708,f434,f460]) ).
fof(f1710,plain,
( op(e2,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f461,f182]) ).
fof(f1711,plain,
( op(e1,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f461,f181]) ).
fof(f1712,plain,
( op(e0,e2) != e2
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f461,f179]) ).
fof(f1713,plain,
( ~ spl0_78
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f1405,f525,f538]) ).
fof(f1714,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1006,f346,f450]) ).
fof(f1715,plain,
( ~ spl0_6
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1554,f291,f447]) ).
fof(f1718,plain,
( op(inv(e1),e1) = e3
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f128]) ).
fof(f1726,plain,
( op(e2,e3) = e2
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f121]) ).
fof(f1727,plain,
( op(e3,e2) = e2
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f120]) ).
fof(f1728,plain,
( spl0_58
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1727,f460,f489]) ).
fof(f1729,plain,
( op(e1,e3) = e1
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f119]) ).
fof(f1730,plain,
( op(e3,e1) = e1
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f118]) ).
fof(f1731,plain,
( spl0_53
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1730,f444,f489]) ).
fof(f1732,plain,
( op(e0,e3) = e0
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f117]) ).
fof(f1733,plain,
( spl0_12
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1732,f311,f489]) ).
fof(f1736,plain,
( inv(unit) = e3
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f490,f137]) ).
fof(f1737,plain,
( inv(e3) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f1736]) ).
fof(f1741,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1016,f288,f444]) ).
fof(f1742,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1125,f327,f379]) ).
fof(f1743,plain,
( op(e0,e2) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f312,f194]) ).
fof(f1744,plain,
( op(e0,e1) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f312,f193]) ).
fof(f1745,plain,
( op(e0,e0) != e0
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f312,f191]) ).
fof(f1747,plain,
( ~ spl0_10
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1712,f304,f460]) ).
fof(f1750,plain,
( op(e1,e1) != e0
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f351,f198]) ).
fof(f1803,plain,
( op(e1,e0) != e1
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f367,f197]) ).
fof(f1804,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1803,f327,f366]) ).
fof(f1808,plain,
( op(e1,e1) != e0
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f364,f199]) ).
fof(f1809,plain,
( op(e1,e0) != e0
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f364,f197]) ).
fof(f1810,plain,
( op(e0,e3) != e0
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f364,f183]) ).
fof(f1811,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1810,f311,f363]) ).
fof(f1812,plain,
( op(e0,e2) != e2
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f318,f194]) ).
fof(f1813,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1812,f304,f317]) ).
fof(f1816,plain,
( ~ spl0_12
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1676,f311,f415]) ).
fof(f1817,plain,
( op(e3,e2) = e1
| ~ spl0_82
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f1458,f899]) ).
fof(f1823,plain,
( op(e0,e0) = e1
| ~ spl0_68
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f494,f1368]) ).
fof(f1842,plain,
( op(e3,e2) = unit
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f539,f131]) ).
fof(f1843,plain,
( op(e1,e1) = unit
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f510,f127]) ).
fof(f1844,plain,
( op(e1,e1) = unit
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f510,f128]) ).
fof(f1847,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1744,f285,f311]) ).
fof(f1852,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1808,f337,f363]) ).
fof(f1853,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1809,f324,f363]) ).
fof(f1854,plain,
( spl0_29
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1729,f366,f489]) ).
fof(f1855,plain,
( ~ spl0_30
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1701,f369,f421]) ).
fof(f1856,plain,
( op(e1,e2) != e2
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f370,f200]) ).
fof(f1857,plain,
( op(e1,e1) != e2
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f370,f199]) ).
fof(f1858,plain,
( op(e1,e0) != e2
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f370,f197]) ).
fof(f1859,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1858,f330,f369]) ).
fof(f1860,plain,
( op(e0,e3) != e2
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f370,f183]) ).
fof(f1904,plain,
( e2 != op(op(e1,e3),e3)
| ~ spl0_61
| spl0_102 ),
inference(backward_demodulation,[status(thm)],[f471,f1210]) ).
fof(f1905,plain,
( e0 != op(e1,e3)
| ~ spl0_61
| spl0_96 ),
inference(backward_demodulation,[status(thm)],[f471,f1261]) ).
fof(f1906,plain,
( e2 != op(e1,e3)
| ~ spl0_61
| spl0_90 ),
inference(backward_demodulation,[status(thm)],[f471,f1292]) ).
fof(f1907,plain,
( op(op(e1,e3),e3) = op(e1,e1)
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f471,f83]) ).
fof(f1918,plain,
( op(e3,e1) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f471,f211]) ).
fof(f1919,plain,
( op(e3,e0) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f471,f209]) ).
fof(f1925,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1700,f382,f421]) ).
fof(f1927,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1215,f288,f314]) ).
fof(f1932,plain,
( ~ spl0_27
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1277,f359,f411]) ).
fof(f1937,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1147,f353,f366]) ).
fof(f1939,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1304,f460,f473]) ).
fof(f1941,plain,
( spl0_46
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1726,f421,f489]) ).
fof(f1942,plain,
( spl0_83
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1737,f541,f489]) ).
fof(f1943,plain,
( spl0_57
| ~ spl0_82
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1817,f457,f538,f483]) ).
fof(f1955,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1856,f356,f369]) ).
fof(f1956,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1860,f317,f369]) ).
fof(f1957,plain,
( spl0_1
| ~ spl0_68
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1823,f275,f493,f483]) ).
fof(f1961,plain,
( ~ spl0_30
| ~ spl0_61
| spl0_90 ),
inference(split_clause,[status(thm)],[f1906,f369,f470,f586]) ).
fof(f1962,plain,
( spl0_31
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f904,f372,f483]) ).
fof(f2010,plain,
( op(e1,e1) = e0
| ~ spl0_64
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f481,f1843]) ).
fof(f2034,plain,
( op(e3,e0) != e3
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f451,f207]) ).
fof(f2035,plain,
( ~ spl0_51
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2034,f437,f450]) ).
fof(f2040,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1750,f337,f350]) ).
fof(f2043,plain,
( op(e1,e1) = e3
| ~ spl0_73
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f510,f1718]) ).
fof(f2052,plain,
( op(e2,e3) = unit
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f539,f132]) ).
fof(f2057,plain,
( e2 = e3
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f539,f542]) ).
fof(f2058,plain,
( $false
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f2057,f218]) ).
fof(f2059,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( ~ spl0_6
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1361,f291,f395]) ).
fof(f2061,plain,
( ~ spl0_1
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1216,f275,f314]) ).
fof(f2063,plain,
( ~ spl0_28
| ~ spl0_61
| spl0_96 ),
inference(split_clause,[status(thm)],[f1905,f363,f470,f608]) ).
fof(f2064,plain,
( ~ spl0_53
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1918,f444,f470]) ).
fof(f2069,plain,
( spl0_62
| ~ spl0_66
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f751,f473,f486,f541]) ).
fof(f2072,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1699,f395,f421]) ).
fof(f2073,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1702,f317,f421]) ).
fof(f2075,plain,
( ~ spl0_26
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1711,f356,f460]) ).
fof(f2076,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1919,f431,f470]) ).
fof(f2077,plain,
( ~ spl0_35
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1276,f385,f411]) ).
fof(f2078,plain,
( op(e1,e1) != e0
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f442,f175]) ).
fof(f2079,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1857,f343,f369]) ).
fof(f2081,plain,
( spl0_20
| ~ spl0_64
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f2010,f337,f480,f509]) ).
fof(f2082,plain,
( inv(e0) != e2
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f526,f160]) ).
fof(f2191,plain,
( op(e3,e2) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f471,f212]) ).
fof(f2192,plain,
( ~ spl0_57
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2191,f457,f470]) ).
fof(f2195,plain,
( op(e2,e3) != e1
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f471,f188]) ).
fof(f2196,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2195,f418,f470]) ).
fof(f2230,plain,
( e0 != op(op(e1,e3),e3)
| ~ spl0_61
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f471,f1473]) ).
fof(f2256,plain,
( inv(e1) != e3
| ~ spl0_83 ),
inference(paramodulation,[status(thm)],[f542,f163]) ).
fof(f2263,plain,
( e2 != op(e1,e1)
| ~ spl0_61
| spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1907,f1904]) ).
fof(f2264,plain,
( e0 != op(e1,e1)
| spl0_86
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f1907,f2230]) ).
fof(f2265,plain,
( ~ spl0_20
| spl0_86
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f2264,f337,f572,f470]) ).
fof(f2266,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1158,f346,f359]) ).
fof(f2268,plain,
( ~ spl0_35
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1086,f385,f398]) ).
fof(f2269,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1087,f346,f398]) ).
fof(f2283,plain,
( op(e0,e2) = unit
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f520,f130]) ).
fof(f2321,plain,
( op(inv(e2),e2) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f130]) ).
fof(f2322,plain,
( op(e2,inv(e2)) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f129]) ).
fof(f2346,plain,
( op(e2,e1) = e3
| ~ spl0_77
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f523,f2322]) ).
fof(f2347,plain,
( spl0_39
| ~ spl0_77
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2346,f398,f522,f489]) ).
fof(f2348,plain,
( op(e1,e2) = e3
| ~ spl0_77
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f523,f2321]) ).
fof(f2349,plain,
( spl0_27
| ~ spl0_77
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2348,f359,f522,f489]) ).
fof(f2354,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1007,f294,f450]) ).
fof(f2369,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f970,f450,f463]) ).
fof(f2370,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1140,f333,f372]) ).
fof(f2375,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1059,f372,f424]) ).
fof(f2376,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1743,f298,f311]) ).
fof(f2379,plain,
( spl0_23
| ~ spl0_73
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2043,f346,f509,f489]) ).
fof(f2381,plain,
( ~ spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1088,f294,f398]) ).
fof(f2383,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1113,f333,f385]) ).
fof(f2400,plain,
( op(inv(e2),e2) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f130]) ).
fof(f2405,plain,
( op(e1,e2) = e3
| ~ spl0_77
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f523,f2400]) ).
fof(f2411,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1141,f320,f372]) ).
fof(f2412,plain,
( spl0_55
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f903,f450,f483]) ).
fof(f2426,plain,
( ~ spl0_19
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1159,f333,f359]) ).
fof(f2427,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1183,f281,f333]) ).
fof(f2428,plain,
( $false
| ~ spl0_83
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f2256]) ).
fof(f2429,plain,
( ~ spl0_83
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2428]) ).
fof(f2474,plain,
( e1 != op(e0,e3)
| ~ spl0_60
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f468,f1167]) ).
fof(f2475,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_87 ),
inference(split_clause,[status(thm)],[f2474,f314,f467,f575]) ).
fof(f2485,plain,
( op(e3,e2) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f212]) ).
fof(f2486,plain,
( ~ spl0_56
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2485,f454,f467]) ).
fof(f2488,plain,
( op(e3,e0) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f209]) ).
fof(f2489,plain,
( op(e2,e3) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f188]) ).
fof(f2490,plain,
( ~ spl0_44
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2489,f415,f467]) ).
fof(f2491,plain,
( op(e0,e3) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f185]) ).
fof(f2492,plain,
( ~ spl0_50
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1306,f434,f473]) ).
fof(f2494,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1278,f307,f411]) ).
fof(f2498,plain,
( op(e0,e2) = e1
| ~ spl0_65
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f484,f2283]) ).
fof(f2540,plain,
( op(e1,e1) = e1
| ~ spl0_65
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f484,f1844]) ).
fof(f2681,plain,
( e1 != op(op(e3,e2),e2)
| ~ spl0_43
| spl0_93 ),
inference(backward_demodulation,[status(thm)],[f412,f1263]) ).
fof(f2682,plain,
( e1 != op(e0,e2)
| ~ spl0_56
| ~ spl0_43
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f455,f2681]) ).
fof(f2724,plain,
( ~ spl0_9
| ~ spl0_56
| ~ spl0_43
| spl0_93 ),
inference(split_clause,[status(thm)],[f2682,f301,f454,f411,f598]) ).
fof(f2726,plain,
( e3 = unit
| ~ spl0_43
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f412,f937]) ).
fof(f2727,plain,
( e3 = e1
| ~ spl0_65
| ~ spl0_43
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f484,f2726]) ).
fof(f2728,plain,
( $false
| ~ spl0_65
| ~ spl0_43
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2727,f217]) ).
fof(f2729,plain,
( ~ spl0_65
| ~ spl0_43
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2728]) ).
fof(f2730,plain,
( op(e2,e2) = e1
| ~ spl0_65
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f484,f938]) ).
fof(f2731,plain,
( ~ spl0_70
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2082,f499,f525]) ).
fof(f2736,plain,
( op(e2,e2) = e1
| ~ spl0_65
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f484,f937]) ).
fof(f2764,plain,
( op(e2,e0) != e1
| ~ spl0_65
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f2730,f202]) ).
fof(f2765,plain,
( ~ spl0_33
| ~ spl0_65
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2764,f379,f483,f525]) ).
fof(f2768,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1060,f320,f424]) ).
fof(f2769,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1030,f333,f437]) ).
fof(f2770,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1205,f294,f320]) ).
fof(f2773,plain,
( op(e2,e2) = unit
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f526,f130]) ).
fof(f2779,plain,
( ~ spl0_51
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f971,f437,f463]) ).
fof(f2781,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1223,f281,f307]) ).
fof(f2782,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2488,f428,f467]) ).
fof(f2783,plain,
( ~ spl0_12
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2491,f311,f467]) ).
fof(f2801,plain,
( spl0_9
| ~ spl0_65
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f2498,f301,f483,f519]) ).
fof(f2806,plain,
( op(e3,e3) = e1
| ~ spl0_83
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f542,f1488]) ).
fof(f2807,plain,
( spl0_61
| ~ spl0_83
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f2806,f470,f541,f483]) ).
fof(f2837,plain,
( spl0_41
| ~ spl0_65
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2736,f405,f483,f525]) ).
fof(f3075,plain,
( e0 = e1
| ~ spl0_20
| ~ spl0_65
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f338,f2540]) ).
fof(f3076,plain,
( $false
| ~ spl0_20
| ~ spl0_65
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f3075,f213]) ).
fof(f3077,plain,
( ~ spl0_20
| ~ spl0_65
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3127,plain,
( op(e3,e2) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f212]) ).
fof(f3129,plain,
( op(e3,e1) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f211]) ).
fof(f3130,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3129,f450,f476]) ).
fof(f3131,plain,
( op(e3,e0) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f209]) ).
fof(f3133,plain,
( op(e2,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f188]) ).
fof(f3135,plain,
( op(e1,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f187]) ).
fof(f3136,plain,
( ~ spl0_31
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3135,f372,f476]) ).
fof(f3137,plain,
( op(e0,e3) != e3
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f477,f185]) ).
fof(f3226,plain,
( e1 != op(op(e0,e2),e0)
| ~ spl0_2
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f279,f614]) ).
fof(f3227,plain,
( e1 != op(e3,e0)
| ~ spl0_11
| ~ spl0_2
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f308,f3226]) ).
fof(f3228,plain,
( e1 != e1
| ~ spl0_49
| ~ spl0_11
| ~ spl0_2
| spl0_97 ),
inference(forward_demodulation,[status(thm)],[f432,f3227]) ).
fof(f3229,plain,
( $false
| ~ spl0_49
| ~ spl0_11
| ~ spl0_2
| spl0_97 ),
inference(trivial_equality_resolution,[status(esa)],[f3228]) ).
fof(f3230,plain,
( ~ spl0_49
| ~ spl0_11
| ~ spl0_2
| spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3229]) ).
fof(f3231,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f279,f622]) ).
fof(f3232,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_2
| spl0_99 ),
inference(forward_demodulation,[status(thm)],[f308,f3231]) ).
fof(f3233,plain,
( $false
| ~ spl0_11
| ~ spl0_2
| spl0_99 ),
inference(trivial_equality_resolution,[status(esa)],[f3232]) ).
fof(f3234,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_99 ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3237,plain,
( $false
| ~ spl0_4
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f1365]) ).
fof(f3238,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3441,plain,
( op(e0,e2) != e1
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f406,f178]) ).
fof(f3442,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f3441,f301,f405]) ).
fof(f3448,plain,
( op(e3,e2) = e1
| ~ spl0_65
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f484,f1842]) ).
fof(f3611,plain,
( op(e0,e1) != e3
| ~ spl0_11 ),
inference(paramodulation,[status(thm)],[f308,f192]) ).
fof(f3666,plain,
( e3 != op(e0,e2)
| ~ spl0_40
| spl0_92 ),
inference(forward_demodulation,[status(thm)],[f403,f1262]) ).
fof(f3667,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_40
| spl0_92 ),
inference(forward_demodulation,[status(thm)],[f308,f3666]) ).
fof(f3668,plain,
( $false
| ~ spl0_11
| ~ spl0_40
| spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f3667]) ).
fof(f3669,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_92 ),
inference(contradiction_clause,[status(thm)],[f3668]) ).
fof(f3670,plain,
( e1 != op(op(e0,e2),e2)
| ~ spl0_40
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f403,f1263]) ).
fof(f3671,plain,
( e1 != op(e3,e2)
| ~ spl0_11
| ~ spl0_40
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f308,f3670]) ).
fof(f3672,plain,
( e1 != e1
| ~ spl0_65
| ~ spl0_82
| ~ spl0_11
| ~ spl0_40
| spl0_93 ),
inference(forward_demodulation,[status(thm)],[f3448,f3671]) ).
fof(f3673,plain,
( $false
| ~ spl0_65
| ~ spl0_82
| ~ spl0_11
| ~ spl0_40
| spl0_93 ),
inference(trivial_equality_resolution,[status(esa)],[f3672]) ).
fof(f3674,plain,
( ~ spl0_65
| ~ spl0_82
| ~ spl0_11
| ~ spl0_40
| spl0_93 ),
inference(contradiction_clause,[status(thm)],[f3673]) ).
fof(f3685,plain,
( op(e2,e1) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f409,f204]) ).
fof(f3686,plain,
( ~ spl0_38
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f3685,f395,f408]) ).
fof(f3693,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3133,f424,f476]) ).
fof(f3694,plain,
( ~ spl0_59
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3127,f463,f476]) ).
fof(f3695,plain,
( op(e0,e2) != e0
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f403,f178]) ).
fof(f3696,plain,
( ~ spl0_8
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f3695,f298,f402]) ).
fof(f3697,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1418,f272,f298]) ).
fof(f3700,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1420,f272,f376]) ).
fof(f3701,plain,
( spl0_42
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1281,f408,f343,f353]) ).
fof(f3811,plain,
( op(inv(e0),e0) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f126]) ).
fof(f3812,plain,
( op(e0,inv(e0)) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f125]) ).
fof(f3892,plain,
( op(e0,e1) = e3
| ~ spl0_72
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f1332,f3812]) ).
fof(f3893,plain,
( op(e1,e0) = e3
| ~ spl0_72
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f1332,f3811]) ).
fof(f3937,plain,
( op(e0,e2) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f409,f178]) ).
fof(f3938,plain,
( op(e3,e1) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f474,f211]) ).
fof(f3945,plain,
( op(e0,e1) = unit
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f507,f128]) ).
fof(f3965,plain,
( inv(e1) != e1
| ~ spl0_77 ),
inference(paramodulation,[status(thm)],[f523,f162]) ).
fof(f3968,plain,
( op(e1,e2) != e0
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f403,f180]) ).
fof(f3969,plain,
( op(e2,e1) != e0
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f403,f204]) ).
fof(f4202,plain,
( e3 != op(op(e0,e2),e2)
| ~ spl0_40
| spl0_106 ),
inference(backward_demodulation,[status(thm)],[f403,f978]) ).
fof(f4203,plain,
( e3 != op(e1,e2)
| ~ spl0_9
| ~ spl0_40
| spl0_106 ),
inference(forward_demodulation,[status(thm)],[f302,f4202]) ).
fof(f4204,plain,
( e3 != e3
| ~ spl0_77
| ~ spl0_67
| ~ spl0_9
| ~ spl0_40
| spl0_106 ),
inference(forward_demodulation,[status(thm)],[f2405,f4203]) ).
fof(f4205,plain,
( $false
| ~ spl0_77
| ~ spl0_67
| ~ spl0_9
| ~ spl0_40
| spl0_106 ),
inference(trivial_equality_resolution,[status(esa)],[f4204]) ).
fof(f4206,plain,
( ~ spl0_77
| ~ spl0_67
| ~ spl0_9
| ~ spl0_40
| spl0_106 ),
inference(contradiction_clause,[status(thm)],[f4205]) ).
fof(f4216,plain,
( e1 != op(e0,e2)
| ~ spl0_40
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f403,f922]) ).
fof(f4217,plain,
( e1 != e1
| ~ spl0_9
| ~ spl0_40
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f302,f4216]) ).
fof(f4218,plain,
( $false
| ~ spl0_9
| ~ spl0_40
| spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f4217]) ).
fof(f4219,plain,
( ~ spl0_9
| ~ spl0_40
| spl0_85 ),
inference(contradiction_clause,[status(thm)],[f4218]) ).
fof(f4220,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1710,f408,f460]) ).
fof(f4226,plain,
( op(e1,e3) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f187]) ).
fof(f4227,plain,
( ~ spl0_28
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f4226,f363,f467]) ).
fof(f4228,plain,
( op(e3,e1) != e0
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f468,f211]) ).
fof(f4229,plain,
( ~ spl0_52
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f4228,f441,f467]) ).
fof(f4235,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1745,f272,f311]) ).
fof(f4243,plain,
( ~ spl0_54
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f3938,f447,f473]) ).
fof(f4245,plain,
( spl0_15
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f675,f320,f480]) ).
fof(f4252,plain,
( ~ spl0_15
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3137,f320,f476]) ).
fof(f4253,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f3131,f437,f476]) ).
fof(f4260,plain,
( spl0_7
| ~ spl0_72
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f3892,f294,f506,f489]) ).
fof(f4261,plain,
( spl0_19
| ~ spl0_72
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f3893,f333,f506,f489]) ).
fof(f4279,plain,
( ~ spl0_39
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1275,f398,f411]) ).
fof(f4285,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f3611,f294,f307]) ).
fof(f4292,plain,
( op(e3,inv(e3)) = e0
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f481,f131]) ).
fof(f4344,plain,
( op(e1,e3) = e0
| ~ spl0_64
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f481,f942]) ).
fof(f4501,plain,
( e0 != op(op(e2,e3),e3)
| ~ spl0_62
| spl0_86 ),
inference(backward_demodulation,[status(thm)],[f474,f1473]) ).
fof(f4502,plain,
( e0 != op(e1,e3)
| ~ spl0_45
| ~ spl0_62
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f419,f4501]) ).
fof(f4503,plain,
( e0 != e0
| ~ spl0_64
| ~ spl0_81
| ~ spl0_45
| ~ spl0_62
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f4344,f4502]) ).
fof(f4504,plain,
( $false
| ~ spl0_64
| ~ spl0_81
| ~ spl0_45
| ~ spl0_62
| spl0_86 ),
inference(trivial_equality_resolution,[status(esa)],[f4503]) ).
fof(f4505,plain,
( ~ spl0_64
| ~ spl0_81
| ~ spl0_45
| ~ spl0_62
| spl0_86 ),
inference(contradiction_clause,[status(thm)],[f4504]) ).
fof(f4601,plain,
( e3 = op(e2,e1)
| ~ spl0_41
| ~ spl0_92 ),
inference(backward_demodulation,[status(thm)],[f406,f595]) ).
fof(f4602,plain,
( spl0_39
| ~ spl0_41
| ~ spl0_92 ),
inference(split_clause,[status(thm)],[f4601,f398,f405,f594]) ).
fof(f4638,plain,
( ~ spl0_28
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1675,f363,f415]) ).
fof(f4643,plain,
( op(e2,e1) != e0
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f416,f205]) ).
fof(f4644,plain,
( ~ spl0_36
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f4643,f389,f415]) ).
fof(f4655,plain,
( e1 = unit
| ~ spl0_41
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f406,f2773]) ).
fof(f4656,plain,
( $false
| spl0_65
| ~ spl0_41
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f4655,f485]) ).
fof(f4657,plain,
( spl0_65
| ~ spl0_41
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f4656]) ).
fof(f4666,plain,
( ~ spl0_73
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f3965,f509,f522]) ).
fof(f4669,plain,
( op(e1,e3) != e2
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f474,f187]) ).
fof(f4670,plain,
( ~ spl0_30
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f4669,f369,f473]) ).
fof(f4682,plain,
( ~ spl0_20
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f2078,f337,f441]) ).
fof(f4928,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_104 ),
inference(backward_demodulation,[status(thm)],[f279,f641]) ).
fof(f4929,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_104 ),
inference(split_clause,[status(thm)],[f4928,f301,f278,f639]) ).
fof(f4931,plain,
( e3 != op(op(e0,e2),e0)
| ~ spl0_2
| spl0_107 ),
inference(backward_demodulation,[status(thm)],[f279,f656]) ).
fof(f4936,plain,
( op(op(e0,e0),e0) = op(e0,e2)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f279,f52]) ).
fof(f4937,plain,
( op(e2,e0) = op(e0,e2)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f279,f4936]) ).
fof(f4938,plain,
( e1 = op(e0,e2)
| ~ spl0_33
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f380,f4937]) ).
fof(f4977,plain,
( ~ spl0_24
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f3968,f350,f402]) ).
fof(f4978,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f3969,f389,f402]) ).
fof(f5003,plain,
( op(e3,e3) = e0
| ~ spl0_83
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f542,f4292]) ).
fof(f5008,plain,
( op(inv(e1),e1) = e0
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f481,f128]) ).
fof(f5269,plain,
( op(e0,e1) != e1
| ~ spl0_21 ),
inference(paramodulation,[status(thm)],[f341,f171]) ).
fof(f5270,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f5269,f288,f340]) ).
fof(f5292,plain,
( spl0_60
| ~ spl0_83
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f5003,f467,f541,f480]) ).
fof(f5390,plain,
( op(e3,e2) = op(e1,op(e1,e2))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f347,f74]) ).
fof(f5491,plain,
( e2 != op(e3,e1)
| ~ spl0_23
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f347,f808]) ).
fof(f5492,plain,
( e2 != e2
| ~ spl0_54
| ~ spl0_23
| spl0_89 ),
inference(forward_demodulation,[status(thm)],[f448,f5491]) ).
fof(f5493,plain,
( $false
| ~ spl0_54
| ~ spl0_23
| spl0_89 ),
inference(trivial_equality_resolution,[status(esa)],[f5492]) ).
fof(f5494,plain,
( ~ spl0_54
| ~ spl0_23
| spl0_89 ),
inference(contradiction_clause,[status(thm)],[f5493]) ).
fof(f5531,plain,
( ~ spl0_10
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f3937,f304,f408]) ).
fof(f5532,plain,
( op(e2,e0) != e2
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f409,f202]) ).
fof(f5533,plain,
( ~ spl0_34
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f5532,f382,f408]) ).
fof(f5565,plain,
( e1 = unit
| ~ spl0_45
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f419,f2052]) ).
fof(f5566,plain,
( e1 = e0
| ~ spl0_64
| ~ spl0_45
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f481,f5565]) ).
fof(f5567,plain,
( $false
| ~ spl0_64
| ~ spl0_45
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f5566,f213]) ).
fof(f5568,plain,
( ~ spl0_64
| ~ spl0_45
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f5567]) ).
fof(f5569,plain,
( op(e2,e1) = e0
| ~ spl0_74
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f513,f5008]) ).
fof(f5690,plain,
( op(e0,e1) != e3
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f347,f171]) ).
fof(f5842,plain,
( e2 != op(op(e0,e3),e3)
| ~ spl0_60
| spl0_102 ),
inference(forward_demodulation,[status(thm)],[f468,f1210]) ).
fof(f5873,plain,
( e0 != op(op(e3,e1),e1)
| ~ spl0_23
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f347,f1472]) ).
fof(f5874,plain,
( e0 != op(e2,e1)
| ~ spl0_54
| ~ spl0_23
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f448,f5873]) ).
fof(f5875,plain,
( e0 != e0
| ~ spl0_74
| ~ spl0_64
| ~ spl0_54
| ~ spl0_23
| spl0_88 ),
inference(forward_demodulation,[status(thm)],[f5569,f5874]) ).
fof(f5876,plain,
( $false
| ~ spl0_74
| ~ spl0_64
| ~ spl0_54
| ~ spl0_23
| spl0_88 ),
inference(trivial_equality_resolution,[status(esa)],[f5875]) ).
fof(f5877,plain,
( ~ spl0_74
| ~ spl0_64
| ~ spl0_54
| ~ spl0_23
| spl0_88 ),
inference(contradiction_clause,[status(thm)],[f5876]) ).
fof(f5918,plain,
( ~ spl0_45
| ~ spl0_62
| spl0_87 ),
inference(split_clause,[status(thm)],[f1297,f418,f473,f575]) ).
fof(f5931,plain,
( e0 != op(e3,e1)
| ~ spl0_23
| spl0_101 ),
inference(forward_demodulation,[status(thm)],[f347,f1064]) ).
fof(f5956,plain,
( op(e3,e2) = e2
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f120]) ).
fof(f5984,plain,
( op(inv(e2),e2) = e3
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f490,f130]) ).
fof(f6013,plain,
( op(e0,e2) = e3
| ~ spl0_70
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f1613,f5984]) ).
fof(f6240,plain,
( e2 != op(e0,e1)
| ~ spl0_1
| spl0_98 ),
inference(backward_demodulation,[status(thm)],[f276,f617]) ).
fof(f6241,plain,
( ~ spl0_6
| ~ spl0_1
| spl0_98 ),
inference(split_clause,[status(thm)],[f6240,f291,f275,f615]) ).
fof(f6253,plain,
( e3 != op(op(e0,e1),e0)
| ~ spl0_1
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f276,f656]) ).
fof(f6254,plain,
( e3 != op(e2,e0)
| ~ spl0_6
| ~ spl0_1
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f292,f6253]) ).
fof(f6255,plain,
( e3 != e3
| ~ spl0_35
| ~ spl0_6
| ~ spl0_1
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f386,f6254]) ).
fof(f6256,plain,
( $false
| ~ spl0_35
| ~ spl0_6
| ~ spl0_1
| spl0_107 ),
inference(trivial_equality_resolution,[status(esa)],[f6255]) ).
fof(f6257,plain,
( ~ spl0_35
| ~ spl0_6
| ~ spl0_1
| spl0_107 ),
inference(contradiction_clause,[status(thm)],[f6256]) ).
fof(f6260,plain,
( e0 = op(e1,e3)
| ~ spl0_23
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f347,f629]) ).
fof(f6261,plain,
( $false
| spl0_28
| ~ spl0_23
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f6260,f365]) ).
fof(f6262,plain,
( spl0_28
| ~ spl0_23
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f6261]) ).
fof(f6568,plain,
( e3 != op(e1,e0)
| ~ spl0_33
| ~ spl0_2
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f4938,f4931]) ).
fof(f6572,plain,
( spl0_11
| ~ spl0_70
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f6013,f307,f499,f489]) ).
fof(f6578,plain,
( ~ spl0_19
| ~ spl0_33
| ~ spl0_2
| spl0_107 ),
inference(split_clause,[status(thm)],[f6568,f333,f379,f278,f654]) ).
fof(f6592,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl0_67
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f5956,f5390]) ).
fof(f6593,plain,
( e2 = op(e1,e0)
| ~ spl0_24
| ~ spl0_67
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f351,f6592]) ).
fof(f6594,plain,
( $false
| spl0_18
| ~ spl0_24
| ~ spl0_67
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f6593,f332]) ).
fof(f6595,plain,
( spl0_18
| ~ spl0_24
| ~ spl0_67
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f6594]) ).
fof(f6596,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1101,f340,f392]) ).
fof(f6597,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1164,f340,f353]) ).
fof(f6602,plain,
( ~ spl0_52
| ~ spl0_23
| spl0_101 ),
inference(split_clause,[status(thm)],[f5931,f441,f346,f628]) ).
fof(f6605,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f5690,f294,f346]) ).
fof(f6828,plain,
( e2 != op(op(e3,e1),e1)
| ~ spl0_23
| spl0_100 ),
inference(backward_demodulation,[status(thm)],[f347,f1066]) ).
fof(f6829,plain,
( e2 != op(e0,e1)
| ~ spl0_52
| ~ spl0_23
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f442,f6828]) ).
fof(f6858,plain,
( op(e0,e1) = e2
| ~ spl0_66
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f487,f3945]) ).
fof(f6902,plain,
( e2 != e2
| ~ spl0_66
| ~ spl0_72
| ~ spl0_52
| ~ spl0_23
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f6858,f6829]) ).
fof(f6903,plain,
( $false
| ~ spl0_66
| ~ spl0_72
| ~ spl0_52
| ~ spl0_23
| spl0_100 ),
inference(trivial_equality_resolution,[status(esa)],[f6902]) ).
fof(f6904,plain,
( ~ spl0_66
| ~ spl0_72
| ~ spl0_52
| ~ spl0_23
| spl0_100 ),
inference(contradiction_clause,[status(thm)],[f6903]) ).
fof(f6905,plain,
( e2 != op(e1,e3)
| ~ spl0_13
| ~ spl0_60
| spl0_102 ),
inference(forward_demodulation,[status(thm)],[f315,f5842]) ).
fof(f6915,plain,
( op(e1,e3) = e2
| ~ spl0_66
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f487,f940]) ).
fof(f7014,plain,
( $false
| ~ spl0_13
| ~ spl0_60
| spl0_102
| ~ spl0_66
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f6915,f6905]) ).
fof(f7015,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_102
| ~ spl0_66
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f7014]) ).
fof(f7087,plain,
( ~ spl0_22
| ~ spl0_61
| spl0_102 ),
inference(split_clause,[status(thm)],[f2263,f343,f470,f632]) ).
fof(f7088,plain,
$false,
inference(sat_refutation,[status(thm)],[f284,f297,f310,f323,f336,f349,f362,f375,f388,f401,f414,f427,f440,f453,f466,f479,f492,f505,f518,f531,f544,f546,f547,f548,f549,f551,f553,f554,f556,f557,f558,f561,f562,f563,f564,f578,f585,f589,f604,f623,f624,f631,f635,f643,f657,f658,f659,f880,f884,f894,f936,f977,f994,f1019,f1063,f1091,f1117,f1129,f1163,f1186,f1198,f1219,f1226,f1233,f1243,f1251,f1313,f1315,f1319,f1335,f1336,f1337,f1346,f1347,f1348,f1349,f1350,f1351,f1360,f1401,f1415,f1416,f1421,f1423,f1424,f1425,f1428,f1430,f1432,f1434,f1435,f1439,f1442,f1443,f1448,f1453,f1455,f1456,f1457,f1462,f1463,f1464,f1466,f1467,f1468,f1470,f1524,f1540,f1543,f1549,f1552,f1602,f1608,f1610,f1612,f1615,f1616,f1619,f1645,f1646,f1650,f1654,f1655,f1656,f1657,f1660,f1661,f1662,f1665,f1666,f1669,f1671,f1674,f1677,f1681,f1684,f1685,f1687,f1688,f1689,f1691,f1696,f1703,f1704,f1705,f1709,f1713,f1714,f1715,f1728,f1731,f1733,f1741,f1742,f1747,f1804,f1811,f1813,f1816,f1847,f1852,f1853,f1854,f1855,f1859,f1925,f1927,f1932,f1937,f1939,f1941,f1942,f1943,f1955,f1956,f1957,f1961,f1962,f2035,f2040,f2059,f2060,f2061,f2063,f2064,f2069,f2072,f2073,f2075,f2076,f2077,f2079,f2081,f2192,f2196,f2265,f2266,f2268,f2269,f2347,f2349,f2354,f2369,f2370,f2375,f2376,f2379,f2381,f2383,f2411,f2412,f2426,f2427,f2429,f2475,f2486,f2490,f2492,f2494,f2724,f2729,f2731,f2765,f2768,f2769,f2770,f2779,f2781,f2782,f2783,f2801,f2807,f2837,f3077,f3130,f3136,f3230,f3234,f3238,f3442,f3669,f3674,f3686,f3693,f3694,f3696,f3697,f3700,f3701,f4206,f4219,f4220,f4227,f4229,f4235,f4243,f4245,f4252,f4253,f4260,f4261,f4279,f4285,f4505,f4602,f4638,f4644,f4657,f4666,f4670,f4682,f4929,f4977,f4978,f5270,f5292,f5494,f5531,f5533,f5568,f5877,f5918,f6241,f6257,f6262,f6572,f6578,f6595,f6596,f6597,f6602,f6605,f6904,f7015,f7087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:26:21 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 3.10/0.75 % Refutation found
% 3.10/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.10/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.10/0.76 % Elapsed time: 0.419578 seconds
% 3.10/0.76 % CPU time: 3.256927 seconds
% 3.10/0.76 % Total memory used: 64.359 MB
% 3.10/0.76 % Net memory used: 61.670 MB
%------------------------------------------------------------------------------