%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:34 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 123
% Syntax : Number of formulae : 1045 ( 55 unt; 102 def)
% Number of atoms : 3064 (1263 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 3721 (1702 ~;1705 |; 208 &)
% ( 106 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 104 ( 102 usr; 103 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,definition,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f135,definition,
( sP3_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f136,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP3_prd )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| sP2_prd )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| sP1_prd )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f135,f134,f133,f132]) ).
fof(f137,plain,
( op(e3,e0) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
( op(e0,e3) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
( op(e3,e1) = e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
( op(e1,e3) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
( op(e3,e2) = e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f142,plain,
( op(e2,e3) != e2
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f143,plain,
( op(e3,e3) = e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f144,plain,
( op(e3,e3) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f149,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f150,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f152,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f154,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f156,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f158,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f160,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e3 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f162,plain,
( e3 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f164,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f171,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f172,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e3 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f174,plain,
( e3 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f176,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f179,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f183,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f184,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e2 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f186,plain,
( e2 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f192,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,definition,
( sP4_prd
<=> ( ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f194,plain,
( sP0_prd
<=> ( ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f193]) ).
fof(f195,plain,
( ( ( ( op(e0,e2) = e0
| op(e2,e0) != e2 )
& ~ sP4_prd )
| sP0_prd )
& ( ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| sP4_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e2,e0) = e2
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( op(e0,e2) != e0
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f200,definition,
( sP5_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f201,plain,
( sP1_prd
<=> ( ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f200]) ).
fof(f202,plain,
( ( ( ( op(e1,e2) = e1
| op(e2,e1) != e2 )
& ~ sP5_prd )
| sP1_prd )
& ( ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e2,e1) = e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( op(e1,e2) != e1
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f206,plain,
( op(e1,e2) = e1
| op(e2,e1) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f207,definition,
( sP6_prd
<=> ( ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f208,plain,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f134,f207]) ).
fof(f209,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e2,e2) = e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( op(e2,e2) != e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,definition,
( sP7_prd
<=> ( ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f215,plain,
( sP3_prd
<=> ( ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f135,f214]) ).
fof(f216,plain,
( ( ( ( op(e3,e2) = e3
| op(e2,e3) != e2 )
& ~ sP7_prd )
| sP3_prd )
& ( ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e2,e3) = e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e2) != e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( ( ( ( op(e0,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| sP4_prd )
& ( ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f222,plain,
( op(e1,e0) = e1
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e0,e1) != e0
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e1,e0) = e1
| op(e0,e0) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f227,plain,
( op(e0,e1) = e0
| op(e1,e0) != e1
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e0,e1) != e0 ) )
| sP5_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f229,plain,
( op(e1,e1) = e1
| op(e0,e1) = e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e1,e1) != e1
| op(e0,e1) = e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e1,e1) = e1
| op(e1,e0) != e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f233,plain,
( op(e1,e0) = e1
| op(e0,e1) != e0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f235,plain,
( ( ( ( op(e2,e1) = e2
| op(e1,e2) != e1 )
& ( op(e2,e0) = e2
| op(e0,e2) != e0 ) )
| sP6_prd )
& ( ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f236,plain,
( op(e1,e2) = e1
| op(e0,e2) = e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( op(e2,e1) != e2
| op(e0,e2) = e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f238,plain,
( op(e1,e2) = e1
| op(e2,e0) != e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f241,plain,
( op(e2,e1) = e2
| op(e1,e2) != e1
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f242,plain,
( ( ( ( op(e3,e1) = e3
| op(e1,e3) != e1 )
& ( op(e3,e0) = e3
| op(e0,e3) != e0 ) )
| sP7_prd )
& ( ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
( op(e1,e3) = e1
| op(e0,e3) = e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op(e3,e1) != e3
| op(e0,e3) = e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op(e1,e3) = e1
| op(e3,e0) != e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f247,plain,
( op(e3,e0) = e3
| op(e0,e3) != e0
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f248,plain,
( op(e3,e1) = e3
| op(e1,e3) != e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f249,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f301,f304,f307,f310]) ).
fof(f314,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f340,f343,f346,f349]) ).
fof(f353,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f366,f369,f372,f375]) ).
fof(f379,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f418,f421,f424,f427]) ).
fof(f431,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f431,f434,f437,f440]) ).
fof(f444,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f444,f447,f450,f453]) ).
fof(f457,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f249,f262,f275,f288]) ).
fof(f458,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f249,f301,f353,f405]) ).
fof(f459,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f252,f265,f278,f291]) ).
fof(f460,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f252,f304,f356,f408]) ).
fof(f461,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f255,f268,f281,f294]) ).
fof(f462,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f255,f307,f359,f411]) ).
fof(f463,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f258,f271,f284,f297]) ).
fof(f465,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f301,f314,f327,f340]) ).
fof(f466,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f262,f314,f366,f418]) ).
fof(f467,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f304,f317,f330,f343]) ).
fof(f468,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f265,f317,f369,f421]) ).
fof(f469,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f307,f320,f333,f346]) ).
fof(f470,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f268,f320,f372,f424]) ).
fof(f471,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f310,f323,f336,f349]) ).
fof(f472,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f271,f323,f375,f427]) ).
fof(f473,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f353,f366,f379,f392]) ).
fof(f474,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f275,f327,f379,f431]) ).
fof(f475,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f356,f369,f382,f395]) ).
fof(f476,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f278,f330,f382,f434]) ).
fof(f477,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f359,f372,f385,f398]) ).
fof(f478,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f281,f333,f385,f437]) ).
fof(f479,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f362,f375,f388,f401]) ).
fof(f480,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f284,f336,f388,f440]) ).
fof(f482,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f288,f340,f392,f444]) ).
fof(f483,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f408,f421,f434,f447]) ).
fof(f484,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f291,f343,f395,f447]) ).
fof(f485,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f411,f424,f437,f450]) ).
fof(f486,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f294,f346,f398,f450]) ).
fof(f487,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f414,f427,f440,f453]) ).
fof(f488,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f297,f349,f401,f453]) ).
fof(f489,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ51_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f489,f414]) ).
fof(f493,plain,
( ~ sQ12_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f489,f288]) ).
fof(f494,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ55_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f494,f427]) ).
fof(f498,plain,
( ~ sQ29_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f494,f343]) ).
fof(f499,definition,
( sQ66_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ59_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f141,f499,f440]) ).
fof(f503,plain,
( ~ sQ46_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f142,f499,f398]) ).
fof(f504,definition,
( sQ67_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f143,f504,f453]) ).
fof(f508,plain,
( ~ sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f144,f504,f453]) ).
fof(f509,definition,
( sQ68_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ68_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ69_spl
<=> e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ69_spl
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f516,definition,
( sQ70_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ70_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ71_spl
<=> e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( sQ71_spl
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f523,definition,
( sQ72_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ72_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ73_spl
<=> e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ73_spl
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f150,f523,f526,f323]) ).
fof(f530,definition,
( sQ74_spl
<=> e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ74_spl
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f152,f516,f530,f447]) ).
fof(f534,definition,
( sQ75_spl
<=> e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ75_spl
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ22_spl
| ~ sQ75_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f154,f523,f534,f320]) ).
fof(f538,definition,
( sQ76_spl
<=> e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ76_spl
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f156,f509,f538,f382]) ).
fof(f542,definition,
( sQ77_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ77_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ78_spl
<=> e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( sQ78_spl
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ43_spl
| ~ sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f158,f542,f545,f388]) ).
fof(f549,definition,
( sQ79_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ79_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ80_spl
<=> e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ80_spl
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( ~ sQ62_spl
| ~ sQ80_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f160,f549,f552,f450]) ).
fof(f556,definition,
( sQ81_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( sQ81_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ82_spl
<=> e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ82_spl
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ3_spl
| ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f162,f556,f559,f258]) ).
fof(f563,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f164,f549,f530,f444]) ).
fof(f569,definition,
( sQ84_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ84_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f576,definition,
( sQ86_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ86_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f172,f576,f552,f447]) ).
fof(f580,definition,
( sQ87_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ87_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ88_spl
<=> e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ88_spl
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ sQ3_spl
| ~ sQ88_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f174,f580,f583,f258]) ).
fof(f587,plain,
( ~ sQ60_spl
| ~ sQ71_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f176,f576,f519,f444]) ).
fof(f589,plain,
( ~ sQ20_spl
| ~ sQ75_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f180,f569,f534,f314]) ).
fof(f590,definition,
( sQ89_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( sQ89_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f594,definition,
( sQ90_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( sQ90_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ sQ41_spl
| ~ sQ78_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f184,f594,f545,f382]) ).
fof(f598,definition,
( sQ91_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ91_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f186,f598,f583,f255]) ).
fof(f602,plain,
( ~ sQ40_spl
| ~ sQ69_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f188,f594,f512,f379]) ).
fof(f604,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f192,f590,f526,f314]) ).
fof(f605,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ34_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f489,f605,f359]) ).
fof(f609,plain,
( ~ sQ8_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f489,f605,f275]) ).
fof(f612,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ38_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f203,f494,f612,f372]) ).
fof(f616,plain,
( ~ sQ25_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f204,f494,f612,f330]) ).
fof(f618,plain,
( sQ25_spl
| ~ sQ38_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f206,f494,f372,f330]) ).
fof(f619,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f210,f499,f619,f385]) ).
fof(f623,plain,
( ~ sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f211,f499,f619,f385]) ).
fof(f624,plain,
( ~ sQ94_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f212,f499,f619]) ).
fof(f626,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ46_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f217,f504,f626,f398]) ).
fof(f630,plain,
( ~ sQ59_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f218,f504,f626,f440]) ).
fof(f631,plain,
( ~ sQ95_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f219,f504,f626]) ).
fof(f633,plain,
( sQ17_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f222,f605,f249,f304]) ).
fof(f634,plain,
( ~ sQ4_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f223,f605,f249,f262]) ).
fof(f635,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f224,f605,f249,f304]) ).
fof(f638,plain,
( sQ4_spl
| ~ sQ17_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f227,f605,f304,f262]) ).
fof(f639,plain,
( sQ21_spl
| sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f229,f612,f262,f317]) ).
fof(f640,plain,
( ~ sQ21_spl
| sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f230,f612,f262,f317]) ).
fof(f641,plain,
( sQ21_spl
| ~ sQ17_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f231,f612,f304,f317]) ).
fof(f643,plain,
( sQ17_spl
| ~ sQ4_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f233,f612,f262,f304]) ).
fof(f645,plain,
( sQ25_spl
| sQ8_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f236,f619,f275,f330]) ).
fof(f646,plain,
( ~ sQ38_spl
| sQ8_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f237,f619,f275,f372]) ).
fof(f647,plain,
( sQ25_spl
| ~ sQ34_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f238,f619,f359,f330]) ).
fof(f650,plain,
( sQ38_spl
| ~ sQ25_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f241,f619,f330,f372]) ).
fof(f651,plain,
( sQ29_spl
| sQ12_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f243,f626,f288,f343]) ).
fof(f652,plain,
( ~ sQ55_spl
| sQ12_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f244,f626,f288,f427]) ).
fof(f653,plain,
( sQ29_spl
| ~ sQ51_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f245,f626,f414,f343]) ).
fof(f655,plain,
( sQ51_spl
| ~ sQ12_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f247,f626,f288,f414]) ).
fof(f656,plain,
( sQ55_spl
| ~ sQ29_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f248,f626,f343,f427]) ).
fof(f657,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f347,f350]) ).
fof(f658,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f131]) ).
fof(f659,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f295,f298]) ).
fof(f661,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f131]) ).
fof(f662,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f396,f402]) ).
fof(f665,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f130]) ).
fof(f666,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f435,f438]) ).
fof(f668,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f129]) ).
fof(f669,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f422,f425]) ).
fof(f671,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f129]) ).
fof(f672,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f409,f412]) ).
fof(f674,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f129]) ).
fof(f675,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f82]) ).
fof(f677,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f81]) ).
fof(f678,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f79]) ).
fof(f679,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f363,f83]) ).
fof(f681,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f334,f337]) ).
fof(f682,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f131]) ).
fof(f683,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f282,f285]) ).
fof(f685,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f131]) ).
fof(f686,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f432,f441]) ).
fof(f688,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f128]) ).
fof(f689,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f415]) ).
fof(f692,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f128]) ).
fof(f693,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f698,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f292,f295]) ).
fof(f699,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f129]) ).
fof(f700,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f704,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f370,f376]) ).
fof(f705,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f130]) ).
fof(f706,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f357,f363]) ).
fof(f708,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f130]) ).
fof(f709,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f367,f85]) ).
fof(f713,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f78]) ).
fof(f714,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f269,f272]) ).
fof(f715,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f131]) ).
fof(f716,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f308,f311]) ).
fof(f718,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f131]) ).
fof(f719,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f334]) ).
fof(f721,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f127]) ).
fof(f722,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f266,f86]) ).
fof(f726,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f419,f428]) ).
fof(f727,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f128]) ).
fof(f728,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f318,f87]) ).
fof(f733,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f318,f88]) ).
fof(f735,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f367,f373]) ).
fof(f736,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f127]) ).
fof(f737,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f266,f85]) ).
fof(f741,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f354,f357]) ).
fof(f742,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f126]) ).
fof(f743,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f744,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f302,f81]) ).
fof(f745,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f79]) ).
fof(f746,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f279,f282]) ).
fof(f747,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f129]) ).
fof(f748,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f747]) ).
fof(f749,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f331,f337]) ).
fof(f750,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f130]) ).
fof(f751,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f78]) ).
fof(f753,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f302,f752]) ).
fof(f754,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f753]) ).
fof(f755,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f756,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f266,f84]) ).
fof(f757,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f729,f369,f317]) ).
fof(f758,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f679,f414,f362]) ).
fof(f759,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f250,f256]) ).
fof(f760,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f127]) ).
fof(f761,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f266,f272]) ).
fof(f763,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f130]) ).
fof(f764,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f766,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f276,f90]) ).
fof(f773,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f370,f89]) ).
fof(f774,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f773,f421,f369]) ).
fof(f775,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f276,f285]) ).
fof(f776,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f775,f128]) ).
fof(f777,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f779,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f677,f310,f362]) ).
fof(f780,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f386,f389]) ).
fof(f781,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f131]) ).
fof(f782,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f331,f93]) ).
fof(f786,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f331,f94]) ).
fof(f787,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f279,f92]) ).
fof(f794,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f279,f285]) ).
fof(f795,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f130]) ).
fof(f796,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f797,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f96]) ).
fof(f800,plain,
( ~ sQ12_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f797]) ).
fof(f801,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f341,f344]) ).
fof(f803,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f126]) ).
fof(f804,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f803]) ).
fof(f805,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f766,f327,f275]) ).
fof(f806,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f733,f421,f317]) ).
fof(f809,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f723,f421,f265]) ).
fof(f810,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f756,f317,f265]) ).
fof(f812,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f98]) ).
fof(f813,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f383,f95]) ).
fof(f814,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f813,f434,f382]) ).
fof(f817,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f292,f97]) ).
fof(f818,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f99]) ).
fof(f819,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f818,f346,f398]) ).
fof(f820,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f676,f301,f405]) ).
fof(f822,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f276,f282]) ).
fof(f823,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f127]) ).
fof(f824,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f825,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f100]) ).
fof(f828,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f101]) ).
fof(f831,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f305,f308]) ).
fof(f832,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f129]) ).
fof(f833,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f837,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f422,f428]) ).
fof(f838,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f130]) ).
fof(f839,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f828]) ).
fof(f841,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f744,f353,f301]) ).
fof(f843,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f315,f321]) ).
fof(f844,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f127]) ).
fof(f845,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f817,f395,f291]) ).
fof(f847,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f786,f434,f330]) ).
fof(f849,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f279,f105]) ).
fof(f850,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f279,f103]) ).
fof(f851,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f849,f265,f278]) ).
fof(f853,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f298,f106]) ).
fof(f858,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f279,f107]) ).
fof(f869,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f110]) ).
fof(f873,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f438,f441]) ).
fof(f874,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f873,f131]) ).
fof(f875,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f883,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f112]) ).
fof(f887,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f113]) ).
fof(f892,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f376,f114]) ).
fof(f893,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f412,f415]) ).
fof(f894,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f131]) ).
fof(f895,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f896,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f784,f382,f330]) ).
fof(f903,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f305,f108]) ).
fof(f904,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f903,f317,f304]) ).
fof(f907,plain,
( ~ sQ42_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f386,f117]) ).
fof(f908,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f386,f115]) ).
fof(f909,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f907,f372,f385]) ).
fof(f910,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f739,f369,f265]) ).
fof(f911,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f409,f120]) ).
fof(f918,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f373,f118]) ).
fof(f919,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f409,f122]) ).
fof(f922,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f360,f116]) ).
fof(f923,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f289,f298]) ).
fof(f924,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f923,f128]) ).
fof(f925,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f935,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f887,f330,f343]) ).
fof(f936,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f883,f317,f343]) ).
fof(f937,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f710,f262,f366]) ).
fof(f941,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f922,f398,f359]) ).
fof(f942,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f415]) ).
fof(f943,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f130]) ).
fof(f944,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f949,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f432,f125]) ).
fof(f950,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f432,f123]) ).
fof(f959,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f119]) ).
fof(f960,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f959,f385,f398]) ).
fof(f961,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f425,f123]) ).
fof(f962,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f745,f353,f249]) ).
fof(f970,plain,
( sQ90_spl
| ~ sQ41_spl
| e3 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f383,f596]) ).
fof(f972,plain,
( sQ90_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f383,f970]) ).
fof(f974,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f259,f582]) ).
fof(f975,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f259,f974]) ).
fof(f977,plain,
( sQ84_spl
| ~ sQ20_spl
| e2 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f315,f571]) ).
fof(f978,plain,
( sQ89_spl
| ~ sQ20_spl
| e3 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f315,f592]) ).
fof(f979,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f315,f111]) ).
fof(f980,plain,
( sQ84_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f977]) ).
fof(f982,plain,
( sQ89_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f978]) ).
fof(f983,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f259,f982]) ).
fof(f984,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f983]) ).
fof(f985,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(op(e0,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f315,f528]) ).
fof(f987,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(op(e0,e0),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f315,f986]) ).
fof(f988,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e2 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f259,f987]) ).
fof(f989,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f988]) ).
fof(f990,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e3,op(e0,e0)),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f259,f561]) ).
fof(f991,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e3,e3),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f259,f990]) ).
fof(f992,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f448,f991]) ).
fof(f993,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f259,f992]) ).
fof(f1000,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(op(e3,op(e0,e0)),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f259,f585]) ).
fof(f1001,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(op(e3,e3),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f259,f1000]) ).
fof(f1014,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e0,op(e1,e1)),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f315,f536]) ).
fof(f1015,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e0,e0),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f315,f1014]) ).
fof(f1026,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f425,f428]) ).
fof(f1027,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f131]) ).
fof(f1028,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1034,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f315,f1015]) ).
fof(f1035,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f825,f349,f453]) ).
fof(f1051,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f399]) ).
fof(f1052,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1051,f127]) ).
fof(f1053,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f393,f402]) ).
fof(f1056,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f128]) ).
fof(f1057,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1060,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f259,f80]) ).
fof(f1061,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f259,f558]) ).
fof(f1062,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f259,f1061]) ).
fof(f1063,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f435,f441]) ).
fof(f1064,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f130]) ).
fof(f1065,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1066,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f266,f269]) ).
fof(f1067,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f129]) ).
fof(f1068,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f678,f258,f362]) ).
fof(f1071,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f305,f82]) ).
fof(f1076,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f360,f83]) ).
fof(f1077,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1076,f411,f359]) ).
fof(f1078,plain,
( sQ70_spl
| ~ sQ60_spl
| e0 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f445,f518]) ).
fof(f1079,plain,
( sQ79_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f445,f551]) ).
fof(f1080,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f445,f578]) ).
fof(f1081,plain,
( sQ70_spl
| ~ sQ60_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1078]) ).
fof(f1082,plain,
( sQ79_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1079]) ).
fof(f1083,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1080]) ).
fof(f1084,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f305,f81]) ).
fof(f1086,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f367,f87]) ).
fof(f1090,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f428,f88]) ).
fof(f1093,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f305,f78]) ).
fof(f1095,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f295]) ).
fof(f1096,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1095,f127]) ).
fof(f1097,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1098,plain,
( sQ71_spl
| ~ sQ60_spl
| e1 != op(op(e0,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f445,f521]) ).
fof(f1099,plain,
( sQ71_spl
| ~ sQ60_spl
| e1 != op(op(e0,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f445,f1098]) ).
fof(f1100,plain,
( sQ71_spl
| ~ sQ60_spl
| e1 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1099]) ).
fof(f1101,plain,
( sQ80_spl
| ~ sQ60_spl
| e0 != op(op(e0,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f445,f554]) ).
fof(f1102,plain,
( sQ80_spl
| ~ sQ60_spl
| e0 != op(op(e0,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f445,f1101]) ).
fof(f1103,plain,
( sQ80_spl
| ~ sQ60_spl
| e0 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1102]) ).
fof(f1109,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1060,f414,f258]) ).
fof(f1113,plain,
( ~ sQ56_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f445,f949]) ).
fof(f1114,plain,
( ~ sQ56_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1113]) ).
fof(f1115,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1116,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f853,f271,f297]) ).
fof(f1117,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1084,f356,f304]) ).
fof(f1118,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f892,f362,f375]) ).
fof(f1119,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f858,f291,f278]) ).
fof(f1123,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f428,f86]) ).
fof(f1126,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1123,f271,f427]) ).
fof(f1127,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f376]) ).
fof(f1128,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f128]) ).
fof(f1129,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1130,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f918,f398,f372]) ).
fof(f1131,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f911,f421,f408]) ).
fof(f1132,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1071,f408,f304]) ).
fof(f1138,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f380,f91]) ).
fof(f1140,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f92]) ).
fof(f1143,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1140,f284,f440]) ).
fof(f1144,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f713,f258,f310]) ).
fof(f1145,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f975]) ).
fof(f1146,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f1138]) ).
fof(f1149,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
( sQ84_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f980,f255,f314,f569]) ).
fof(f1151,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f961,f437,f424]) ).
fof(f1152,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f950,f418,f431]) ).
fof(f1154,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f334,f94]) ).
fof(f1155,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f334,f90]) ).
fof(f1158,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f292,f96]) ).
fof(f1162,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f256,f79]) ).
fof(f1163,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f95]) ).
fof(f1171,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f263,f272]) ).
fof(f1172,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f128]) ).
fof(f1173,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1176,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f256,f259]) ).
fof(f1177,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f131]) ).
fof(f1178,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1185,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f256,f102]) ).
fof(f1189,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f324,f1090]) ).
fof(f1190,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1189]) ).
fof(f1191,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1194,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1185,f268,f255]) ).
fof(f1203,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f308,f109]) ).
fof(f1207,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f99]) ).
fof(f1212,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f396,f399]) ).
fof(f1213,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f129]) ).
fof(f1214,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f869,f304,f343]) ).
fof(f1216,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1203,f333,f307]) ).
fof(f1217,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1155,f281,f333]) ).
fof(f1219,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f812,f297,f453]) ).
fof(f1220,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f979,f327,f314]) ).
fof(f1221,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1207,f343,f395]) ).
fof(f1222,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f253,f104]) ).
fof(f1223,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1222,f291,f252]) ).
fof(f1228,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f908,f359,f385]) ).
fof(f1231,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f263,f106]) ).
fof(f1232,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1231,f288,f262]) ).
fof(f1234,plain,
( sQ79_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1082,f252,f444,f549]) ).
fof(f1235,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1083,f255,f444,f576]) ).
fof(f1237,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1093,f252,f304]) ).
fof(f1241,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f315,f112]) ).
fof(f1242,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1241,f340,f314]) ).
fof(f1245,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f334,f113]) ).
fof(f1247,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f370,f114]) ).
fof(f1250,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f370,f117]) ).
fof(f1257,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f363,f115]) ).
fof(f1267,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f285,f107]) ).
fof(f1273,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f412,f122]) ).
fof(f1278,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f412,f121]) ).
fof(f1282,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f331,f334]) ).
fof(f1283,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f129]) ).
fof(f1284,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1289,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1278,f437,f411]) ).
fof(f1293,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1081,f249,f444,f516]) ).
fof(f1294,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ0_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f1103]) ).
fof(f1295,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f250,f1294]) ).
fof(f1296,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1295]) ).
fof(f1297,plain,
( sQ80_spl
| ~ sQ60_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1296]) ).
fof(f1298,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f269,f105]) ).
fof(f1299,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f850,f252,f278]) ).
fof(f1321,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f422,f123]) ).
fof(f1326,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f422,f124]) ).
fof(f1327,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f263,f269]) ).
fof(f1328,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1327,f127]) ).
fof(f1329,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1328]) ).
fof(f1330,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f337,f111]) ).
fof(f1341,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f250,f253]) ).
fof(f1342,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f126]) ).
fof(f1343,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f376,f87]) ).
fof(f1353,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f373,f376]) ).
fof(f1354,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1353,f131]) ).
fof(f1355,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1354]) ).
fof(f1356,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f989,f411,f258,f314,f526]) ).
fof(f1357,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f787,f434,f278]) ).
fof(f1358,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1154,f437,f333]) ).
fof(f1373,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f354,f83]) ).
fof(f1380,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f276,f92]) ).
fof(f1399,plain,
( ~ sQ56_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f1380]) ).
fof(f1400,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1399]) ).
fof(f1403,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1273,f450,f411]) ).
fof(f1404,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f321,f84]) ).
fof(f1412,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f289,f97]) ).
fof(f1413,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1412,f392,f288]) ).
fof(f1414,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f259]) ).
fof(f1415,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1414,f128]) ).
fof(f1416,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1421,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1257,f388,f362]) ).
fof(f1423,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1086,f314,f366]) ).
fof(f1424,plain,
( sQ90_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f972,f323,f382,f594]) ).
fof(f1425,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1162,f359,f255]) ).
fof(f1426,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1345,f323,f375]) ).
fof(f1427,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1163,f440,f388]) ).
fof(f1428,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1404,f268,f320]) ).
fof(f1433,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f94]) ).
fof(f1435,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1433,f336,f440]) ).
fof(f1440,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f337,f93]) ).
fof(f1446,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f266,f102]) ).
fof(f1447,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1446,f252,f265]) ).
fof(f1449,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f101]) ).
fof(f1459,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f250,f104]) ).
fof(f1461,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1459,f288,f249]) ).
fof(f1462,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f419,f422]) ).
fof(f1463,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f126]) ).
fof(f1464,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1298,f281,f268]) ).
fof(f1466,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1250,f382,f369]) ).
fof(f1483,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f259,f103]) ).
fof(f1488,plain,
( ~ sQ61_spl
| sQ81_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f1062]) ).
fof(f1489,plain,
( ~ sQ61_spl
| sQ81_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1507,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f117]) ).
fof(f1510,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1507,f366,f379]) ).
fof(f1511,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1321,f434,f421]) ).
fof(f1514,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f124]) ).
fof(f1528,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f344,f100]) ).
fof(f1535,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f263,f266]) ).
fof(f1536,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f126]) ).
fof(f1537,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f100]) ).
fof(f1540,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f98]) ).
fof(f1544,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f360,f363]) ).
fof(f1545,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1544,f131]) ).
fof(f1546,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1547,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f993,f346,f447,f258,f559]) ).
fof(f1548,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f360,f114]) ).
fof(f1550,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1245,f346,f333]) ).
fof(f1552,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1538,f346,f450]) ).
fof(f1555,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1158,f343,f291]) ).
fof(f1560,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f123]) ).
fof(f1561,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f121]) ).
fof(f1564,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f373,f89]) ).
fof(f1567,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f373,f1548]) ).
fof(f1568,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1567]) ).
fof(f1569,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1570,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1247,f356,f369]) ).
fof(f1571,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1560,f427,f440]) ).
fof(f1572,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1330,f323,f336]) ).
fof(f1573,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1440,f388,f336]) ).
fof(f1575,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1483,f284,f258]) ).
fof(f1587,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f285,f91]) ).
fof(f1594,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f331,f111]) ).
fof(f1595,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1594,f317,f330]) ).
fof(f1596,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1564,f424,f372]) ).
fof(f1597,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1528,f447,f343]) ).
fof(f1599,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1561,f414,f440]) ).
fof(f1603,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f344,f347]) ).
fof(f1604,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1603,f129]) ).
fof(f1605,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1373,f405,f353]) ).
fof(f1607,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f919,f447,f408]) ).
fof(f1611,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f438,f95]) ).
fof(f1626,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f360,f81]) ).
fof(f1628,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1626,f307,f359]) ).
fof(f1629,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1326,f447,f421]) ).
fof(f1630,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1267,f297,f284]) ).
fof(f1631,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f1611]) ).
fof(f1632,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1633,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1449,f398,f450]) ).
fof(f1723,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f389,f119]) ).
fof(f1745,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f415,f120]) ).
fof(f1786,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1514,f424,f450]) ).
fof(f1788,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1540,f294,f450]) ).
fof(f1790,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1723,f401,f388]) ).
fof(f1791,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1587,f388,f284]) ).
fof(f1801,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(op(e0,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f380,f514]) ).
fof(f1802,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(op(e0,e0),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f380,f1801]) ).
fof(f1803,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(op(e0,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f380,f1802]) ).
fof(f1823,plain,
( sQ74_spl
| ~ sQ61_spl
| e2 != op(op(e1,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f532]) ).
fof(f1824,plain,
( sQ74_spl
| ~ sQ61_spl
| e2 != op(op(e1,e1),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f1823]) ).
fof(f1825,plain,
( sQ74_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f315,f1824]) ).
fof(f1826,plain,
( sQ74_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f1825]) ).
fof(f1847,plain,
( ~ sQ6_spl
| sQ74_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f1826]) ).
fof(f1848,plain,
( ~ sQ6_spl
| sQ74_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1847]) ).
fof(f1853,plain,
( sQ70_spl
| ~ sQ61_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f518]) ).
fof(f1854,plain,
( sQ70_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f1853]) ).
fof(f1855,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f315,f1854]) ).
fof(f1856,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1855]) ).
fof(f1857,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1856]) ).
fof(f1868,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f380,f596]) ).
fof(f1869,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f380,f1868]) ).
fof(f1886,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f380,f119]) ).
fof(f1929,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f259,f1869]) ).
fof(f1930,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1929]) ).
fof(f1931,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1972,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f110]) ).
fof(f2015,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f259,f1803]) ).
fof(f2016,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f409,f2015]) ).
fof(f2017,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2016]) ).
fof(f2018,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2106,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f383,f540]) ).
fof(f2107,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f383,f2106]) ).
fof(f2108,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f315,f2107]) ).
fof(f2109,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f383,f2108]) ).
fof(f2110,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f272,f2109]) ).
fof(f2111,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2110]) ).
fof(f2112,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2111]) ).
fof(f2113,plain,
( sQ68_spl
| ~ sQ41_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f383,f511]) ).
fof(f2114,plain,
( sQ68_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f383,f2113]) ).
fof(f2115,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f315,f2114]) ).
fof(f2116,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2115]) ).
fof(f2117,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2116]) ).
fof(f2118,plain,
( sQ76_spl
| ~ sQ41_spl
| e3 != op(op(e1,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f383,f2107]) ).
fof(f2228,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f305,f109]) ).
fof(f2230,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f321,f2118]) ).
fof(f2247,plain,
( sQ88_spl
| ~ sQ2_spl
| e1 != op(op(e2,op(e0,e0)),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f256,f585]) ).
fof(f2248,plain,
( sQ88_spl
| ~ sQ2_spl
| e1 != op(op(e2,e2),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f256,f2247]) ).
fof(f2288,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f578]) ).
fof(f2289,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f2288]) ).
fof(f2290,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f321,f2289]) ).
fof(f2291,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2290]) ).
fof(f2292,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2293,plain,
( sQ88_spl
| ~ sQ2_spl
| e1 != op(op(e2,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f256,f2248]) ).
fof(f2306,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f256,f1100]) ).
fof(f2309,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1745,f427,f414]) ).
fof(f2315,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2228,f330,f304]) ).
fof(f2324,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(op(e1,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f554]) ).
fof(f2325,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(op(e1,e1),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f2324]) ).
fof(f2326,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f321,f2325]) ).
fof(f2327,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f2326]) ).
fof(f2333,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f399,f402]) ).
fof(f2334,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2333,f131]) ).
fof(f2335,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1886,f392,f379]) ).
fof(f2337,plain,
( sQ76_spl
| ~ sQ41_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2230,f375,f320,f382,f538]) ).
fof(f2353,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f263,f105]) ).
fof(f2462,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f311,f82]) ).
fof(f2466,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f263,f86]) ).
fof(f2486,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f298,f96]) ).
fof(f2488,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f328,f113]) ).
fof(f2497,plain,
( sQ79_spl
| ~ sQ62_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f451,f551]) ).
fof(f2498,plain,
( sQ79_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f451,f2497]) ).
fof(f2499,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f383,f2498]) ).
fof(f2500,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2499]) ).
fof(f2501,plain,
( sQ79_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2502,plain,
( sQ80_spl
| ~ sQ62_spl
| e0 != op(op(e2,op(e3,e3)),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f451,f554]) ).
fof(f2503,plain,
( sQ80_spl
| ~ sQ62_spl
| e0 != op(op(e2,e2),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f451,f2502]) ).
fof(f2504,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f383,f2503]) ).
fof(f2505,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f451,f2504]) ).
fof(f2506,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f328,f2505]) ).
fof(f2507,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2506]) ).
fof(f2508,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2507]) ).
fof(f2555,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f2293]) ).
fof(f2556,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2555,f434,f388,f255,f583]) ).
fof(f2561,plain,
( sQ91_spl
| ~ sQ2_spl
| e3 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f256,f600]) ).
fof(f2562,plain,
( sQ91_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f256,f2561]) ).
fof(f2563,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f2562]) ).
fof(f2564,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2563]) ).
fof(f2565,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2564]) ).
fof(f2566,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f451,f1001]) ).
fof(f2584,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f117]) ).
fof(f2616,plain,
( sQ72_spl
| ~ sQ22_spl
| e0 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f321,f525]) ).
fof(f2619,plain,
( sQ72_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f321,f2616]) ).
fof(f2674,plain,
( ~ sQ10_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f92]) ).
fof(f2695,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f259,f2566]) ).
fof(f2696,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f396,f2695]) ).
fof(f2697,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2696]) ).
fof(f2698,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2697]) ).
fof(f2712,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2327,f366,f320,f447,f552]) ).
fof(f2732,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2466,f418,f262]) ).
fof(f2733,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2353,f275,f262]) ).
fof(f2893,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f256,f1034]) ).
fof(f2894,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f363,f2893]) ).
fof(f2895,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2894]) ).
fof(f2896,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2897,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2488,f340,f327]) ).
fof(f2901,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2306,f356,f255,f444,f519]) ).
fof(f2902,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2619,f379,f320,f523]) ).
fof(f2905,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1972,f340,f301]) ).
fof(f2906,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2462,f414,f310]) ).
fof(f2907,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2584,f375,f388]) ).
fof(f2909,plain,
( ~ sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2674,f437,f281]) ).
fof(f2911,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2486,f349,f297]) ).
fof(f2927,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f389,f544]) ).
fof(f2930,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f389,f2927]) ).
fof(f3023,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f448,f2930]) ).
fof(f3024,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3023]) ).
fof(f3025,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f3024]) ).
fof(f3026,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(op(e3,op(e2,e2)),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f389,f547]) ).
fof(f3027,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(op(e3,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f389,f3026]) ).
fof(f3028,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f448,f3027]) ).
fof(f3029,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f389,f3028]) ).
fof(f3030,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f3029]) ).
fof(f3031,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3030]) ).
fof(f3032,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3031]) ).
fof(f3033,plain,
$false,
inference(sat_refutation,[status(thm)],[f261,f274,f287,f300,f313,f326,f339,f352,f365,f378,f391,f404,f417,f430,f443,f456,f457,f458,f459,f460,f461,f462,f463,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f482,f483,f484,f485,f486,f487,f488,f492,f493,f497,f498,f502,f503,f507,f508,f529,f533,f537,f541,f548,f555,f562,f563,f579,f586,f587,f589,f597,f601,f602,f604,f608,f609,f615,f616,f618,f622,f623,f624,f629,f630,f631,f633,f634,f635,f638,f639,f640,f641,f643,f645,f646,f647,f650,f651,f652,f653,f655,f656,f659,f662,f666,f669,f672,f675,f683,f686,f689,f693,f700,f706,f709,f716,f719,f722,f728,f737,f743,f748,f751,f755,f757,f758,f761,f764,f774,f777,f779,f782,f796,f801,f804,f805,f806,f809,f810,f814,f819,f820,f824,f833,f839,f841,f842,f845,f846,f847,f851,f875,f895,f896,f904,f909,f910,f925,f935,f936,f937,f941,f944,f960,f962,f985,f1028,f1035,f1053,f1057,f1065,f1068,f1069,f1077,f1097,f1109,f1115,f1116,f1117,f1118,f1119,f1126,f1129,f1130,f1131,f1132,f1143,f1144,f1147,f1149,f1150,f1151,f1152,f1173,f1178,f1191,f1194,f1214,f1215,f1216,f1217,f1219,f1220,f1221,f1223,f1228,f1232,f1234,f1235,f1237,f1242,f1284,f1289,f1293,f1297,f1299,f1329,f1343,f1355,f1356,f1357,f1358,f1400,f1403,f1413,f1416,f1421,f1423,f1424,f1425,f1426,f1427,f1428,f1435,f1447,f1461,f1464,f1465,f1466,f1489,f1510,f1511,f1537,f1546,f1547,f1550,f1552,f1555,f1569,f1570,f1571,f1572,f1573,f1575,f1595,f1596,f1597,f1599,f1605,f1606,f1607,f1628,f1629,f1630,f1632,f1633,f1786,f1788,f1790,f1791,f1848,f1857,f1931,f2018,f2112,f2117,f2292,f2309,f2315,f2335,f2336,f2337,f2501,f2508,f2556,f2565,f2698,f2712,f2732,f2733,f2896,f2897,f2901,f2902,f2905,f2906,f2907,f2909,f2911,f3025,f3032]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:59:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.47 % Elapsed time: 0.108003 seconds
% 0.13/0.47 % CPU time: 0.652062 seconds
% 0.13/0.47 % Total memory used: 18.160 MB
% 0.13/0.47 % Net memory used: 17.914 MB
%------------------------------------------------------------------------------