%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG141+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 : n008.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 11:48:35 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.63s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 132
% Syntax : Number of formulae : 1338 ( 55 unt; 109 def)
% Number of atoms : 3821 (1372 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 4743 (2260 ~;2185 |; 187 &)
% ( 111 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 111 ( 109 usr; 110 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(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(op(e3,e3),op(e3,e3)) = e3
& op(op(e3,e2),op(e3,e2)) = e2
& op(op(e3,e1),op(e3,e1)) = e1
& op(op(e3,e0),op(e3,e0)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e0),op(e2,e0)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e3
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e0),op(e1,e0)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e3
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
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(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = 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(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
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(op(e2,e3),op(e2,e3)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e0),op(e2,e0)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e3
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e0),op(e1,e0)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e3
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( op(op(e3,e3),op(e3,e3)) = e3
& op(op(e3,e2),op(e3,e2)) = e2
& op(op(e3,e1),op(e3,e1)) = e1
& op(op(e3,e0),op(e3,e0)) = e0 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(op(e3,e0),op(e3,e0)) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(op(e3,e1),op(e3,e1)) = e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(op(e3,e2),op(e3,e2)) = e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(op(e3,e3),op(e3,e3)) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f143,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f145,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f147,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f149,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f151,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f154,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f155,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f157,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f159,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f161,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f163,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f165,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f172,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f173,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f175,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f177,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f179,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f181,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f183,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f185,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,definition,
( sP1_prd
<=> ( ( op(op(e1,e3),op(e1,e3)) = e3
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e0),op(e1,e0)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e3
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f187,plain,
( sP0_prd
<=> ( ( op(op(e2,e3),op(e2,e3)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e0),op(e2,e0)) = e0 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f186]) ).
fof(f188,plain,
( ( ( ( op(op(e2,e3),op(e2,e3)) != e3
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e1),op(e2,e1)) != e1
| op(op(e2,e0),op(e2,e0)) != e0 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(op(e2,e3),op(e2,e3)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e1),op(e2,e1)) = e1
& op(op(e2,e0),op(e2,e0)) = e0 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( op(op(e2,e0),op(e2,e0)) = e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( op(op(e2,e1),op(e2,e1)) = e1
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f191,plain,
( op(op(e2,e2),op(e2,e2)) = e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f192,plain,
( op(op(e2,e3),op(e2,e3)) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f193,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f195,definition,
( sP2_prd
<=> ( op(op(e0,e3),op(e0,e3)) = e3
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP1_prd
<=> ( ( op(op(e1,e3),op(e1,e3)) = e3
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e0),op(e1,e0)) = e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f186,f195]) ).
fof(f197,plain,
( ( ( ( op(op(e1,e3),op(e1,e3)) != e3
| op(op(e1,e2),op(e1,e2)) != e2
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e0),op(e1,e0)) != e0 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(op(e1,e3),op(e1,e3)) = e3
& op(op(e1,e2),op(e1,e2)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e0),op(e1,e0)) = e0 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(op(e1,e0),op(e1,e0)) = e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(op(e1,e1),op(e1,e1)) = e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(op(e1,e2),op(e1,e2)) = e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(op(e1,e3),op(e1,e3)) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,plain,
( ( op(op(e0,e3),op(e0,e3)) != e3
| op(op(e0,e2),op(e0,e2)) != e2
| op(op(e0,e1),op(e0,e1)) != e1
| op(op(e0,e0),op(e0,e0)) != e0
| sP2_prd )
& ( ( op(op(e0,e3),op(e0,e3)) = e3
& op(op(e0,e2),op(e0,e2)) = e2
& op(op(e0,e1),op(e0,e1)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f195]) ).
fof(f205,plain,
( op(op(e0,e0),op(e0,e0)) = e0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(op(e0,e1),op(e0,e1)) = e1
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f207,plain,
( op(op(e0,e2),op(e0,e2)) = e2
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f208,plain,
( op(op(e0,e3),op(e0,e3)) = e3
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f210,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ3_spl
| op(e0,e0) != e3 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f210,f213,f216,f219]) ).
fof(f223,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f223,f226,f229,f232]) ).
fof(f236,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f236,f239,f242,f245]) ).
fof(f249,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ22_spl
| op(e1,e1) != e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f301,f304,f307,f310]) ).
fof(f314,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( sQ40_spl
| op(e2,e2) != e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f340,f343,f346,f349]) ).
fof(f353,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f366,f369,f372,f375]) ).
fof(f379,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ61_spl
| op(e3,e3) != e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f405,f408,f411,f414]) ).
fof(f418,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f210,f223,f236,f249]) ).
fof(f419,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f210,f262,f314,f366]) ).
fof(f420,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f213,f226,f239,f252]) ).
fof(f421,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f213,f265,f317,f369]) ).
fof(f422,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f216,f229,f242,f255]) ).
fof(f423,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f216,f268,f320,f372]) ).
fof(f424,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f219,f232,f245,f258]) ).
fof(f425,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f219,f271,f323,f375]) ).
fof(f426,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f262,f275,f288,f301]) ).
fof(f427,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f223,f275,f327,f379]) ).
fof(f428,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f265,f278,f291,f304]) ).
fof(f429,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f226,f278,f330,f382]) ).
fof(f430,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f268,f281,f294,f307]) ).
fof(f431,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f229,f281,f333,f385]) ).
fof(f432,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f271,f284,f297,f310]) ).
fof(f433,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f232,f284,f336,f388]) ).
fof(f434,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f314,f327,f340,f353]) ).
fof(f435,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f236,f288,f340,f392]) ).
fof(f436,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f317,f330,f343,f356]) ).
fof(f437,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f239,f291,f343,f395]) ).
fof(f438,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f320,f333,f346,f359]) ).
fof(f439,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f242,f294,f346,f398]) ).
fof(f440,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f323,f336,f349,f362]) ).
fof(f441,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f245,f297,f349,f401]) ).
fof(f442,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f366,f379,f392,f405]) ).
fof(f443,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f249,f301,f353,f405]) ).
fof(f444,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f369,f382,f395,f408]) ).
fof(f445,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f252,f304,f356,f408]) ).
fof(f446,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f372,f385,f398,f411]) ).
fof(f447,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f255,f307,f359,f411]) ).
fof(f448,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f375,f388,f401,f414]) ).
fof(f449,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f258,f310,f362,f414]) ).
fof(f450,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f453,definition,
( sQ65_spl
<=> op(op(e3,e0),op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ65_spl
| op(op(e3,e0),op(e3,e0)) = e0 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f455,plain,
( sQ65_spl
| op(op(e3,e0),op(e3,e0)) != e0 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f450,f453]) ).
fof(f457,definition,
( sQ66_spl
<=> op(op(e3,e1),op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ66_spl
| op(op(e3,e1),op(e3,e1)) = e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f450,f457]) ).
fof(f461,definition,
( sQ67_spl
<=> op(op(e3,e2),op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ67_spl
| op(op(e3,e2),op(e3,e2)) = e2 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f450,f461]) ).
fof(f465,definition,
( sQ68_spl
<=> op(op(e3,e3),op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ68_spl
| op(op(e3,e3),op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ68_spl
| op(op(e3,e3),op(e3,e3)) != e3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f450,f465]) ).
fof(f469,definition,
( sQ69_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ69_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ70_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ70_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f476,definition,
( sQ71_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ71_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f483,definition,
( sQ73_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ73_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( ~ sQ73_spl
| ~ sQ62_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f143,f469,f411,f483]) ).
fof(f487,definition,
( sQ74_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ74_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ75_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ75_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f145,f487,f281,f490]) ).
fof(f494,definition,
( sQ76_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ76_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ76_spl
| ~ sQ43_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f147,f476,f349,f494]) ).
fof(f498,definition,
( sQ77_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ77_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ77_spl
| ~ sQ23_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f149,f487,f284,f498]) ).
fof(f502,definition,
( sQ78_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ78_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( ~ sQ70_spl
| ~ sQ60_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f151,f502,f405,f472]) ).
fof(f506,definition,
( sQ79_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ79_spl
| e1 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ79_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f510,definition,
( sQ80_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ80_spl
| ~ sQ62_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f155,f502,f411,f510]) ).
fof(f514,definition,
( sQ81_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( sQ81_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ82_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ82_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ82_spl
| ~ sQ2_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f157,f514,f216,f517]) ).
fof(f521,definition,
( sQ83_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ83_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f159,f506,f349,f521]) ).
fof(f525,definition,
( sQ84_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ84_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f161,f514,f219,f525]) ).
fof(f529,definition,
( sQ85_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ85_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f163,f529,f405,f483]) ).
fof(f533,definition,
( sQ86_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ86_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ75_spl
| ~ sQ20_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f165,f533,f275,f490]) ).
fof(f538,definition,
( sQ87_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ87_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f542,definition,
( sQ88_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ88_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f546,definition,
( sQ89_spl
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ89_spl
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f173,f538,f219,f546]) ).
fof(f550,definition,
( sQ90_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( sQ90_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f175,f550,f340,f494]) ).
fof(f554,definition,
( sQ91_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( sQ91_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ77_spl
| ~ sQ20_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f177,f554,f275,f498]) ).
fof(f558,plain,
( ~ sQ83_spl
| ~ sQ41_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f179,f550,f343,f521]) ).
fof(f559,definition,
( sQ92_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ92_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ84_spl
| ~ sQ1_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f181,f559,f213,f525]) ).
fof(f563,plain,
( ~ sQ88_spl
| ~ sQ22_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f183,f554,f281,f542]) ).
fof(f564,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f185,f559,f216,f546]) ).
fof(f565,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f568,definition,
( sQ94_spl
<=> op(op(e2,e0),op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ94_spl
| op(op(e2,e0),op(e2,e0)) = e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ94_spl
| op(op(e2,e0),op(e2,e0)) != e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ94_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f189,f450,f565,f568]) ).
fof(f572,definition,
( sQ95_spl
<=> op(op(e2,e1),op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ95_spl
| op(op(e2,e1),op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( sQ95_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f190,f450,f565,f572]) ).
fof(f576,definition,
( sQ96_spl
<=> op(op(e2,e2),op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ96_spl
| op(op(e2,e2),op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ96_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f191,f450,f565,f576]) ).
fof(f580,definition,
( sQ97_spl
<=> op(op(e2,e3),op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ97_spl
| op(op(e2,e3),op(e2,e3)) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ97_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f192,f450,f565,f580]) ).
fof(f584,plain,
( ~ sQ93_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f193,f450,f565]) ).
fof(f586,definition,
( sQ98_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f589,definition,
( sQ99_spl
<=> op(op(e1,e0),op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ99_spl
| op(op(e1,e0),op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( sQ99_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f198,f565,f586,f589]) ).
fof(f593,definition,
( sQ100_spl
<=> op(op(e1,e1),op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ100_spl
| op(op(e1,e1),op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ100_spl
| op(op(e1,e1),op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ100_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f199,f565,f586,f593]) ).
fof(f597,definition,
( sQ101_spl
<=> op(op(e1,e2),op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ101_spl
| op(op(e1,e2),op(e1,e2)) = e2 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ101_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f200,f565,f586,f597]) ).
fof(f601,definition,
( sQ102_spl
<=> op(op(e1,e3),op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ102_spl
| op(op(e1,e3),op(e1,e3)) = e3 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ102_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f201,f565,f586,f601]) ).
fof(f605,plain,
( ~ sQ98_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f202,f565,f586]) ).
fof(f607,definition,
( sQ103_spl
<=> op(op(e0,e0),op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ103_spl
| op(op(e0,e0),op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( sQ103_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f205,f586,f607]) ).
fof(f611,definition,
( sQ104_spl
<=> op(op(e0,e1),op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ104_spl
| op(op(e0,e1),op(e0,e1)) = e1 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ104_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f206,f586,f611]) ).
fof(f615,definition,
( sQ105_spl
<=> op(op(e0,e2),op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ105_spl
| op(op(e0,e2),op(e0,e2)) = e2 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ105_spl
| op(op(e0,e2),op(e0,e2)) != e2 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f207,f586,f615]) ).
fof(f619,definition,
( sQ106_spl
<=> op(op(e0,e3),op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ106_spl
| op(op(e0,e3),op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( sQ106_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f208,f586,f619]) ).
fof(f624,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f360,f363]) ).
fof(f625,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f131]) ).
fof(f626,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f376,f80]) ).
fof(f628,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f308,f311]) ).
fof(f629,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f131]) ).
fof(f630,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f256,f259]) ).
fof(f632,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f131]) ).
fof(f633,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f399,f402]) ).
fof(f635,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f131]) ).
fof(f636,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f386,f389]) ).
fof(f638,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f131]) ).
fof(f639,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f373,f376]) ).
fof(f641,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f131]) ).
fof(f642,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f370,f82]) ).
fof(f644,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f354,f357]) ).
fof(f645,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f126]) ).
fof(f646,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f302,f305]) ).
fof(f648,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f126]) ).
fof(f649,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f250,f253]) ).
fof(f651,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f126]) ).
fof(f652,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f393,f396]) ).
fof(f654,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f653,f126]) ).
fof(f655,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f656,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f380,f383]) ).
fof(f657,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f126]) ).
fof(f658,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f657]) ).
fof(f659,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f370,f83]) ).
fof(f660,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f367,f370]) ).
fof(f661,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f126]) ).
fof(f662,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f324,f81]) ).
fof(f665,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f324,f79]) ).
fof(f666,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f295,f298]) ).
fof(f667,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f131]) ).
fof(f668,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f243,f246]) ).
fof(f670,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f131]) ).
fof(f671,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f678,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f334,f337]) ).
fof(f679,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f131]) ).
fof(f680,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f321,f324]) ).
fof(f682,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f131]) ).
fof(f683,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f331,f85]) ).
fof(f685,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f289,f292]) ).
fof(f686,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f126]) ).
fof(f687,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f237,f240]) ).
fof(f689,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f126]) ).
fof(f690,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f691,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f328,f331]) ).
fof(f692,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f126]) ).
fof(f693,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f315,f318]) ).
fof(f695,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f126]) ).
fof(f696,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f695]) ).
fof(f697,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f233,f86]) ).
fof(f698,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f233,f84]) ).
fof(f699,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f272,f78]) ).
fof(f700,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f230,f233]) ).
fof(f701,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f131]) ).
fof(f702,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f269,f272]) ).
fof(f705,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f131]) ).
fof(f706,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f87]) ).
fof(f708,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f224,f227]) ).
fof(f709,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f126]) ).
fof(f710,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f263,f266]) ).
fof(f712,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f126]) ).
fof(f713,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f88]) ).
fof(f719,plain,
( ~ sQ25_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f292,f90]) ).
fof(f724,plain,
( ~ sQ37_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f707]) ).
fof(f725,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f240,f246]) ).
fof(f728,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f130]) ).
fof(f729,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f730,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f292,f298]) ).
fof(f731,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f130]) ).
fof(f732,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f211,f217]) ).
fof(f734,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f127]) ).
fof(f735,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f259]) ).
fof(f738,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f130]) ).
fof(f739,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f347,f91]) ).
fof(f744,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f386,f89]) ).
fof(f747,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f92]) ).
fof(f749,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f347,f93]) ).
fof(f751,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f370,f373]) ).
fof(f752,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f129]) ).
fof(f753,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f272,f82]) ).
fof(f755,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f266,f272]) ).
fof(f756,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f130]) ).
fof(f757,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f714,f382,f278]) ).
fof(f760,plain,
( ~ sQ7_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f233,f85]) ).
fof(f764,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f402,f94]) ).
fof(f765,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f749]) ).
fof(f766,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f769,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f744,f333,f385]) ).
fof(f770,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f659,f317,f369]) ).
fof(f776,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f256,f96]) ).
fof(f780,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f256,f97]) ).
fof(f787,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f256,f98]) ).
fof(f789,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f302,f311]) ).
fof(f790,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f128]) ).
fof(f791,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f98]) ).
fof(f796,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f393,f95]) ).
fof(f797,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f357,f99]) ).
fof(f800,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f211,f214]) ).
fof(f801,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f126]) ).
fof(f802,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f227,f233]) ).
fof(f805,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f130]) ).
fof(f806,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f776,f307,f255]) ).
fof(f809,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f747,f245,f401]) ).
fof(f810,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f279,f282]) ).
fof(f811,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f129]) ).
fof(f812,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f100]) ).
fof(f814,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f357,f363]) ).
fof(f815,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f130]) ).
fof(f816,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f780,f359,f255]) ).
fof(f818,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f813]) ).
fof(f819,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f220,f627]) ).
fof(f821,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f820]) ).
fof(f822,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f797,f304,f356]) ).
fof(f824,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f740,f242,f346]) ).
fof(f825,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f697,f388,f232]) ).
fof(f833,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f363,f101]) ).
fof(f834,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f833,f414,f362]) ).
fof(f835,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f230,f102]) ).
fof(f842,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f230,f105]) ).
fof(f846,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f230,f106]) ).
fof(f851,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f250,f104]) ).
fof(f852,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f250,f107]) ).
fof(f857,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f269,f108]) ).
fof(f859,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f259]) ).
fof(f860,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f128]) ).
fof(f861,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f865,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| op(e3,op(e3,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f376,f454]) ).
fof(f866,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f376,f865]) ).
fof(f867,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e0,op(e3,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f380,f458]) ).
fof(f868,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f380,f867]) ).
fof(f869,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| op(e2,op(e3,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f399,f462]) ).
fof(f870,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f399,f869]) ).
fof(f873,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f285,f698]) ).
fof(f874,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f873]) ).
fof(f875,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f879,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f269,f109]) ).
fof(f881,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f214,f103]) ).
fof(f883,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ51_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f866,f409]) ).
fof(f884,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f883,f126]) ).
fof(f885,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f884]) ).
fof(f886,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f699,f219,f271]) ).
fof(f887,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f870,f346,f398,f461]) ).
fof(f888,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f664,f271,f323]) ).
fof(f890,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f263,f110]) ).
fof(f895,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f292,f111]) ).
fof(f899,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f305,f311]) ).
fof(f900,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f130]) ).
fof(f901,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f764,f297,f401]) ).
fof(f904,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f881,f239,f213]) ).
fof(f906,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f354,f360]) ).
fof(f907,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f127]) ).
fof(f908,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f665,f219,f323]) ).
fof(f910,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f754,f375,f271]) ).
fof(f911,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f760,f336,f232]) ).
fof(f912,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f684,f226,f330]) ).
fof(f913,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f276,f112]) ).
fof(f919,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f852]) ).
fof(f920,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f924,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f113]) ).
fof(f930,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f318,f116]) ).
fof(f933,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f334,f117]) ).
fof(f937,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f334,f118]) ).
fof(f942,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f119]) ).
fof(f945,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f347,f350]) ).
fof(f946,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f131]) ).
fof(f947,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f950,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f321]) ).
fof(f951,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f129]) ).
fof(f952,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f396,f402]) ).
fof(f954,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f130]) ).
fof(f955,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f959,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| op(e2,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f466]) ).
fof(f960,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f959]) ).
fof(f962,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f266,f269]) ).
fof(f963,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f129]) ).
fof(f964,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f973,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f373,f122]) ).
fof(f974,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f373,f121]) ).
fof(f975,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f373,f120]) ).
fof(f977,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f974,f398,f372]) ).
fof(f978,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f868,f213,f379,f457]) ).
fof(f984,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f125]) ).
fof(f985,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f124]) ).
fof(f986,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f985,f388,f414]) ).
fof(f988,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f344,f350]) ).
fof(f989,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f988,f130]) ).
fof(f990,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f991,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f960,f349,f411,f465]) ).
fof(f992,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f263,f269]) ).
fof(f993,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f127]) ).
fof(f994,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f995,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f930,f356,f317]) ).
fof(f996,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f913,f301,f275]) ).
fof(f997,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f842,f242,f229]) ).
fof(f998,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f643,f265,f369]) ).
fof(f999,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f984,f401,f414]) ).
fof(f1000,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f793,f258,f414]) ).
fof(f1001,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f975,f385,f372]) ).
fof(f1004,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f341,f350]) ).
fof(f1005,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f128]) ).
fof(f1006,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f341,f344]) ).
fof(f1009,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f126]) ).
fof(f1010,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f835,f216,f229]) ).
fof(f1012,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f846,f255,f229]) ).
fof(f1013,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f276,f556]) ).
fof(f1014,plain,
( sQ91_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1013,f271,f275,f554]) ).
fof(f1021,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f315,f321]) ).
fof(f1022,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f127]) ).
fof(f1023,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f937,f359,f333]) ).
fof(f1027,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f220,f540]) ).
fof(f1030,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f224,f230]) ).
fof(f1031,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f127]) ).
fof(f1032,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1031]) ).
fof(f1035,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f895,f278,f291]) ).
fof(f1050,plain,
( ~ sQ79_spl
| ~ sQ42_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f347,f507]) ).
fof(f1056,plain,
( sQ81_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f217,f516]) ).
fof(f1058,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f376]) ).
fof(f1059,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f128]) ).
fof(f1060,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1059]) ).
fof(f1061,plain,
( sQ84_spl
| ~ sQ2_spl
| e2 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f217,f527]) ).
fof(f1066,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f367,f373]) ).
fof(f1067,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f127]) ).
fof(f1068,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f406,f504]) ).
fof(f1071,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f406,f531]) ).
fof(f1081,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| op(op(e0,e1),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f233,f612]) ).
fof(f1082,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f233,f1081]) ).
fof(f1083,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f406,f1082]) ).
fof(f1084,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f126]) ).
fof(f1085,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ76_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f350,f496]) ).
fof(f1090,plain,
( sQ70_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f406,f474]) ).
fof(f1092,plain,
( sQ79_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f508]) ).
fof(f1094,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f399]) ).
fof(f1095,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f127]) ).
fof(f1096,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f933,f346,f333]) ).
fof(f1101,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| op(op(e0,e3),e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f259,f620]) ).
fof(f1102,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f259,f1101]) ).
fof(f1103,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f1102]) ).
fof(f1104,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f128]) ).
fof(f1105,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1104]) ).
fof(f1110,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(e0,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f466]) ).
fof(f1111,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f1110]) ).
fof(f1112,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1111,f221]) ).
fof(f1113,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1112]) ).
fof(f1114,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f406,f409]) ).
fof(f1115,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f126]) ).
fof(f1116,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1120,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f214,f79]) ).
fof(f1121,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f214,f80]) ).
fof(f1122,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(op(e0,e0),e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f214,f608]) ).
fof(f1123,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f214,f1122]) ).
fof(f1126,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f295,f90]) ).
fof(f1129,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| op(op(e0,e2),e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f237,f616]) ).
fof(f1130,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f237,f1129]) ).
fof(f1131,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f214,f1130]) ).
fof(f1132,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f129]) ).
fof(f1133,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ8_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f237,f1061]) ).
fof(f1145,plain,
( sQ105_spl
| ~ sQ8_spl
| op(e0,op(e0,e2)) != e2 ),
inference(forward_demodulation,[status(thm)],[f237,f617]) ).
fof(f1146,plain,
( sQ105_spl
| ~ sQ8_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f237,f1145]) ).
fof(f1148,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f942,f362,f349]) ).
fof(f1149,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f214,f220]) ).
fof(f1150,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1149,f130]) ).
fof(f1151,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1150]) ).
fof(f1154,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f851,f210,f249]) ).
fof(f1155,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f879,f294,f268]) ).
fof(f1162,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f393,f402]) ).
fof(f1163,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f128]) ).
fof(f1164,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1071,f372,f405,f529]) ).
fof(f1167,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f373,f82]) ).
fof(f1175,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f334,f87]) ).
fof(f1176,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1175,f281,f333]) ).
fof(f1179,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f220,f527]) ).
fof(f1180,plain,
( sQ82_spl
| ~ sQ3_spl
| e3 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f220,f519]) ).
fof(f1191,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f415]) ).
fof(f1192,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1191,f128]) ).
fof(f1193,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f289,f93]) ).
fof(f1197,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f318,f81]) ).
fof(f1199,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1197,f265,f317]) ).
fof(f1200,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1123,f275,f213,f607]) ).
fof(f1201,plain,
( ~ sQ106_spl
| ~ sQ15_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1102,f414,f258,f619]) ).
fof(f1202,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f890,f301,f262]) ).
fof(f1203,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f866,f405,f375,f453]) ).
fof(f1204,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1082,f408,f232,f611]) ).
fof(f1207,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f86]) ).
fof(f1208,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f88]) ).
fof(f1209,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1208,f275,f379]) ).
fof(f1210,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f924,f297,f310]) ).
fof(f1211,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f787,f411,f255]) ).
fof(f1212,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f289,f94]) ).
fof(f1214,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f328,f89]) ).
fof(f1216,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f328,f85]) ).
fof(f1222,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f289,f298]) ).
fof(f1223,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f128]) ).
fof(f1224,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1223]) ).
fof(f1225,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f973,f411,f372]) ).
fof(f1227,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1092,f356,f349,f506]) ).
fof(f1228,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f334]) ).
fof(f1229,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1228,f127]) ).
fof(f1230,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f328,f337]) ).
fof(f1232,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f128]) ).
fof(f1233,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1234,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1212,f392,f288]) ).
fof(f1235,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1056,f239,f216,f514]) ).
fof(f1239,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f250,f96]) ).
fof(f1244,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f250,f98]) ).
fof(f1249,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f282,f84]) ).
fof(f1251,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f412,f101]) ).
fof(f1256,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f233,f106]) ).
fof(f1268,plain,
( ~ sQ7_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f233,f105]) ).
fof(f1279,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f406,f412]) ).
fof(f1280,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f127]) ).
fof(f1281,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1284,plain,
( sQ74_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f489]) ).
fof(f1287,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f250,f106]) ).
fof(f1288,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| op(e0,op(e0,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f620]) ).
fof(f1289,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f1288]) ).
fof(f1290,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ12_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f1180]) ).
fof(f1294,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1249,f229,f281]) ).
fof(f1295,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f282,f285]) ).
fof(f1296,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1295,f131]) ).
fof(f1297,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1296]) ).
fof(f1299,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f383,f389]) ).
fof(f1300,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f130]) ).
fof(f1301,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1302,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1126,f242,f294]) ).
fof(f1303,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f331,f334]) ).
fof(f1304,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f129]) ).
fof(f1305,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1195,f340,f288]) ).
fof(f1310,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f95]) ).
fof(f1313,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f285,f108]) ).
fof(f1319,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f285,f111]) ).
fof(f1322,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f220,f103]) ).
fof(f1324,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f220,f104]) ).
fof(f1332,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f112]) ).
fof(f1340,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f289,f109]) ).
fof(f1346,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f344,f347]) ).
fof(f1347,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f129]) ).
fof(f1348,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1354,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1120,f317,f213]) ).
fof(f1359,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| op(e1,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f466]) ).
fof(f1360,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f1359]) ).
fof(f1365,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| op(e3,op(e3,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f402,f462]) ).
fof(f1366,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f402,f1365]) ).
fof(f1370,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1268,f245,f232]) ).
fof(f1371,plain,
( sQ84_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1135,f216,f236,f525]) ).
fof(f1372,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f857,f281,f268]) ).
fof(f1373,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1070,f369,f405,f502]) ).
fof(f1374,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1366,f411,f401,f461]) ).
fof(f1375,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1324,f258,f219]) ).
fof(f1378,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f719,f239,f291]) ).
fof(f1379,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1167,f268,f372]) ).
fof(f1380,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1332,f310,f284]) ).
fof(f1381,plain,
( sQ82_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1290,f219,f249,f517]) ).
fof(f1382,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1251,f359,f411]) ).
fof(f1384,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f276,f282]) ).
fof(f1385,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f127]) ).
fof(f1386,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1388,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1121,f369,f213]) ).
fof(f1389,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1319,f297,f284]) ).
fof(f1390,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1239,f301,f249]) ).
fof(f1391,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1214,f379,f327]) ).
fof(f1392,plain,
( ~ sQ79_spl
| ~ sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1050,f343,f346,f506]) ).
fof(f1393,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1256,f258,f232]) ).
fof(f1399,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f315,f115]) ).
fof(f1400,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f315,f114]) ).
fof(f1405,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f360,f119]) ).
fof(f1408,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f315,f324]) ).
fof(f1409,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f128]) ).
fof(f1410,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1409]) ).
fof(f1417,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f122]) ).
fof(f1427,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f125]) ).
fof(f1432,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f124]) ).
fof(f1451,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f123]) ).
fof(f1454,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1451,f382,f395]) ).
fof(f1457,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1027,f255,f219,f538]) ).
fof(f1462,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1130,f216,f236,f615]) ).
fof(f1463,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1322,f245,f219]) ).
fof(f1466,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1417,f366,f405]) ).
fof(f1467,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1310,f349,f401]) ).
fof(f1477,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f217,f80]) ).
fof(f1479,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f217,f79]) ).
fof(f1484,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f217,f78]) ).
fof(f1487,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f350,f93]) ).
fof(f1489,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f409,f412]) ).
fof(f1490,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1489,f129]) ).
fof(f1491,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1494,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f253,f256]) ).
fof(f1495,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1494,f129]) ).
fof(f1496,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1495]) ).
fof(f1500,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1289,f219,f249,f619]) ).
fof(f1503,plain,
( sQ82_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f217,f519]) ).
fof(f1504,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1287,f223,f249]) ).
fof(f1505,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1340,f262,f288]) ).
fof(f1512,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1427,f392,f405]) ).
fof(f1513,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1484,f268,f216]) ).
fof(f1514,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1487,f297,f349]) ).
fof(f1520,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f328,f87]) ).
fof(f1534,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f409,f415]) ).
fof(f1535,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1534,f130]) ).
fof(f1536,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1535]) ).
fof(f1537,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1477,f372,f216]) ).
fof(f1545,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f285,f88]) ).
fof(f1557,plain,
( ~ sQ18_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f269,f81]) ).
fof(f1559,plain,
( ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1557,f320,f268]) ).
fof(f1562,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f227,f106]) ).
fof(f1563,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1313,f271,f284]) ).
fof(f1565,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1545,f388,f284]) ).
fof(f1566,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e3,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f285,f594]) ).
fof(f1567,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f285,f1566]) ).
fof(f1568,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1567,f410]) ).
fof(f1569,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1576,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f250,f97]) ).
fof(f1594,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f217,f103]) ).
fof(f1599,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f217,f104]) ).
fof(f1607,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f415]) ).
fof(f1608,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f131]) ).
fof(f1609,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1610,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1284,f288,f281,f487]) ).
fof(f1611,plain,
( sQ89_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f217,f548]) ).
fof(f1612,plain,
( sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f246,f1611]) ).
fof(f1615,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1599,f255,f216]) ).
fof(f1616,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f305,f96]) ).
fof(f1630,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1207,f223,f379]) ).
fof(f1638,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| op(e3,op(e0,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f246,f616]) ).
fof(f1639,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f246,f1638]) ).
fof(f1640,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f246,f107]) ).
fof(f1641,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f347,f95]) ).
fof(f1665,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f246,f91]) ).
fof(f1686,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f376,f120]) ).
fof(f1729,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f78]) ).
fof(f1735,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f230,f85]) ).
fof(f1737,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f230,f86]) ).
fof(f1743,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f285,f87]) ).
fof(f1747,plain,
( sQ69_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f412,f471]) ).
fof(f1748,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f1747]) ).
fof(f1749,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1748]) ).
fof(f1750,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( sQ73_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f412,f485]) ).
fof(f1752,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f393,f1751]) ).
fof(f1753,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f253,f1752]) ).
fof(f1754,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1753]) ).
fof(f1755,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1754]) ).
fof(f1758,plain,
( sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1612,f369,f245,f216,f546]) ).
fof(f1764,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f121]) ).
fof(f1765,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f796,f340,f392]) ).
fof(f1772,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f292,f295]) ).
fof(f1773,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f129]) ).
fof(f1774,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1775,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1639,f411,f245,f615]) ).
fof(f1776,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1520,f275,f327]) ).
fof(f1779,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1594,f242,f216]) ).
fof(f1780,plain,
( sQ105_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1146,f216,f236,f615]) ).
fof(f1781,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1400,f327,f314]) ).
fof(f1788,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f282,f492]) ).
fof(f1793,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f282,f88]) ).
fof(f1839,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f214,f102]) ).
fof(f1841,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f289,f1788]) ).
fof(f1844,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1841,f232,f288,f281,f490]) ).
fof(f1870,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f308,f100]) ).
fof(f1877,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f308,f99]) ).
fof(f1891,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f315,f116]) ).
fof(f1901,plain,
( sQ71_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f478]) ).
fof(f1925,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f396,f125]) ).
fof(f1940,plain,
( sQ92_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f214,f561]) ).
fof(f1941,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f233,f1940]) ).
fof(f1942,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1941]) ).
fof(f1943,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1942]) ).
fof(f1955,plain,
( sQ83_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f350,f523]) ).
fof(f1956,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f357,f1955]) ).
fof(f1957,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f289,f1956]) ).
fof(f1958,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1957]) ).
fof(f1959,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1960,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1432,f379,f405]) ).
fof(f1968,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f396,f95]) ).
fof(f1976,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1735,f333,f229]) ).
fof(f1978,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1244,f405,f249]) ).
fof(f1981,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f396,f92]) ).
fof(f1982,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f289,f90]) ).
fof(f1983,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f295]) ).
fof(f1984,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1983,f127]) ).
fof(f1985,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1984]) ).
fof(f1986,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| op(e3,op(e1,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f272,f590]) ).
fof(f1987,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f272,f1986]) ).
fof(f1994,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f396,f94]) ).
fof(f1996,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| op(e1,op(e3,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f396,f462]) ).
fof(f1997,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f396,f1996]) ).
fof(f2002,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| op(e2,op(e3,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f373,f454]) ).
fof(f2003,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f373,f2002]) ).
fof(f2006,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| op(e2,op(e2,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f334,f573]) ).
fof(f2007,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f334,f2006]) ).
fof(f2023,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f256,f107]) ).
fof(f2029,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2003,f342]) ).
fof(f2030,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2029]) ).
fof(f2033,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f122]) ).
fof(f2035,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f256,f104]) ).
fof(f2036,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1793,f385,f281]) ).
fof(f2038,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2023,f242,f255]) ).
fof(f2039,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| op(e2,op(e0,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f256,f620]) ).
fof(f2040,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f256,f2039]) ).
fof(f2053,plain,
( sQ90_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f344,f552]) ).
fof(f2064,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f298,f90]) ).
fof(f2078,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f240,f243]) ).
fof(f2079,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f129]) ).
fof(f2080,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2079]) ).
fof(f2081,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1479,f320,f216]) ).
fof(f2088,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f93]) ).
fof(f2089,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1968,f343,f395]) ).
fof(f2090,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1616,f252,f304]) ).
fof(f2091,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1562,f252,f226]) ).
fof(f2092,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1737,f385,f229]) ).
fof(f2093,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1665,f349,f245]) ).
fof(f2094,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2033,f375,f414]) ).
fof(f2133,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f110]) ).
fof(f2157,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f279,f108]) ).
fof(f2187,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f2007,f95]) ).
fof(f2235,plain,
( sQ92_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f217,f561]) ).
fof(f2244,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f237,f91]) ).
fof(f2246,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f2007,f119]) ).
fof(f2267,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f412,f504]) ).
fof(f2275,plain,
( sQ65_spl
| ~ sQ49_spl
| op(e1,op(e3,e0)) != e0 ),
inference(forward_demodulation,[status(thm)],[f370,f455]) ).
fof(f2276,plain,
( sQ65_spl
| ~ sQ49_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f370,f2275]) ).
fof(f2278,plain,
( sQ100_spl
| ~ sQ21_spl
| op(e1,op(e1,e1)) != e1 ),
inference(forward_demodulation,[status(thm)],[f279,f595]) ).
fof(f2279,plain,
( sQ100_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f279,f2278]) ).
fof(f2280,plain,
( sQ100_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f279,f2279]) ).
fof(f2281,plain,
( sQ100_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2280]) ).
fof(f2282,plain,
( sQ100_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2292,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| op(e1,op(e0,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f620]) ).
fof(f2293,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f2292]) ).
fof(f2311,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f220,f516]) ).
fof(f2314,plain,
( sQ81_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2311,f252,f219,f514]) ).
fof(f2317,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f253,f1179]) ).
fof(f2322,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| op(op(e0,e2),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f243,f616]) ).
fof(f2323,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f243,f2322]) ).
fof(f2344,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f282,f2293]) ).
fof(f2345,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f131]) ).
fof(f2346,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2350,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| op(e0,op(e1,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f598]) ).
fof(f2351,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f2350]) ).
fof(f2352,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| op(e3,op(e1,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f311,f602]) ).
fof(f2353,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f311,f2352]) ).
fof(f2354,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f2353]) ).
fof(f2355,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2354,f128]) ).
fof(f2356,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2355]) ).
fof(f2360,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(e3,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f577]) ).
fof(f2361,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f2360]) ).
fof(f2362,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f2361]) ).
fof(f2363,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2362,f127]) ).
fof(f2364,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2363]) ).
fof(f2365,plain,
( sQ92_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2235,f245,f216,f559]) ).
fof(f2368,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1686,f388,f375]) ).
fof(f2370,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1405,f346,f359]) ).
fof(f2372,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1641,f398,f346]) ).
fof(f2377,plain,
( sQ90_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2053,f336,f343,f550]) ).
fof(f2380,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2323,f346,f242,f615]) ).
fof(f2383,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1764,f366,f392]) ).
fof(f2384,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2317,f268,f252,f219,f525]) ).
fof(f2386,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1216,f223,f327]) ).
fof(f2426,plain,
( ~ sQ59_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f402,f121]) ).
fof(f2432,plain,
( sQ88_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f282,f544]) ).
fof(f2442,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f556]) ).
fof(f2556,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f289,f113]) ).
fof(f2558,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f282,f112]) ).
fof(f2590,plain,
( sQ65_spl
| ~ sQ50_spl
| op(e2,op(e3,e0)) != e0 ),
inference(forward_demodulation,[status(thm)],[f373,f455]) ).
fof(f2591,plain,
( sQ65_spl
| ~ sQ50_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f373,f2590]) ).
fof(f2593,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f344,f523]) ).
fof(f2594,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f337,f2593]) ).
fof(f2596,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f577]) ).
fof(f2597,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f2596]) ).
fof(f2598,plain,
( sQ73_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f406,f485]) ).
fof(f2599,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f373,f2598]) ).
fof(f2601,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| op(e0,op(e2,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f315,f569]) ).
fof(f2602,plain,
( ~ sQ3_spl
| ~ sQ94_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f2603,f220]) ).
fof(f2603,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f315,f2601]) ).
fof(f2604,plain,
( ~ sQ3_spl
| ~ sQ94_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2602,f128]) ).
fof(f2605,plain,
( ~ sQ3_spl
| ~ sQ94_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2604]) ).
fof(f2623,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2353,f414,f310,f601]) ).
fof(f2631,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f337,f89]) ).
fof(f2632,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| op(e1,op(e1,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f590]) ).
fof(f2633,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f2632]) ).
fof(f2634,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| op(e2,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f282,f594]) ).
fof(f2635,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f282,f2634]) ).
fof(f2636,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2351,f216,f288,f597]) ).
fof(f2653,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2088,f291,f343]) ).
fof(f2663,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f315,f81]) ).
fof(f2669,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2603,f210,f314,f568]) ).
fof(f2671,plain,
( ~ sQ95_spl
| ~ sQ39_spl
| op(e3,op(e2,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f337,f573]) ).
fof(f2672,plain,
( ~ sQ95_spl
| ~ sQ39_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f337,f2671]) ).
fof(f2673,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| op(e2,op(e2,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f360,f581]) ).
fof(f2674,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f360,f2673]) ).
fof(f2675,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f344,f2674]) ).
fof(f2676,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2675,f130]) ).
fof(f2677,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2676]) ).
fof(f2680,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2556,f301,f288]) ).
fof(f2682,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1982,f236,f288]) ).
fof(f2688,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1987,f405,f271,f589]) ).
fof(f2689,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1877,f359,f307]) ).
fof(f2690,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1901,f353,f349,f476]) ).
fof(f2691,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1839,f226,f213]) ).
fof(f2692,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2133,f271,f310]) ).
fof(f2693,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1399,f340,f314]) ).
fof(f2695,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2663,f262,f314]) ).
fof(f2697,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1360,f284,f408,f465]) ).
fof(f2698,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1925,f408,f395]) ).
fof(f2699,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1994,f291,f395]) ).
fof(f2700,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2631,f388,f336]) ).
fof(f2721,plain,
( sQ22_spl
| ~ sQ67_spl
| ~ sQ57_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1997,f283]) ).
fof(f2722,plain,
( sQ22_spl
| ~ sQ67_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2721]) ).
fof(f2723,plain,
( sQ22_spl
| ~ sQ67_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2722]) ).
fof(f2822,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f328,f117]) ).
fof(f2885,plain,
( ~ sQ65_spl
| ~ sQ49_spl
| op(e1,op(e3,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f370,f454]) ).
fof(f2887,plain,
( ~ sQ65_spl
| ~ sQ49_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f370,f2885]) ).
fof(f2893,plain,
( sQ82_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f240,f1503]) ).
fof(f2899,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1576,f353,f249]) ).
fof(f2933,plain,
( sQ91_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2442,f297,f281,f554]) ).
fof(f2943,plain,
( sQ65_spl
| ~ sQ50_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2591,f340,f372,f453]) ).
fof(f2952,plain,
( ~ sQ97_spl
| ~ sQ46_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2674,f349,f359,f580]) ).
fof(f2957,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| op(e3,op(e2,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f324,f569]) ).
fof(f2958,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f324,f2957]) ).
fof(f2959,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,op(e3,e3)) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f467]) ).
fof(f2960,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f2959]) ).
fof(f2961,plain,
( sQ68_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f2960]) ).
fof(f2962,plain,
( sQ68_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2961]) ).
fof(f2963,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2962]) ).
fof(f2966,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2635,f343,f281,f593]) ).
fof(f2968,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2633,f275,f265,f589]) ).
fof(f2969,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2007,f343,f333,f572]) ).
fof(f2970,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2246,f356,f333,f572]) ).
fof(f2971,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2187,f395,f333,f572]) ).
fof(f2972,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1981,f239,f395]) ).
fof(f2973,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2157,f265,f278]) ).
fof(f2974,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2958,f405,f323,f568]) ).
fof(f2975,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1870,f411,f307]) ).
fof(f2976,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2361,f411,f349,f576]) ).
fof(f2977,plain,
( ~ sQ65_spl
| ~ sQ49_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2887,f275,f369,f453]) ).
fof(f2980,plain,
( sQ82_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2893,f271,f239,f216,f517]) ).
fof(f3008,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f370,f121]) ).
fof(f3014,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f350,f117]) ).
fof(f3067,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f331,f89]) ).
fof(f3122,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f295,f94]) ).
fof(f3126,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f79]) ).
fof(f3134,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f321,f83]) ).
fof(f3144,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f354,f1086]) ).
fof(f3145,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f240,f3144]) ).
fof(f3146,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3145]) ).
fof(f3147,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3146]) ).
fof(f3173,plain,
( sQ77_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f276,f500]) ).
fof(f3174,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f272,f3173]) ).
fof(f3175,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f386,f3174]) ).
fof(f3176,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3175]) ).
fof(f3177,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3176]) ).
fof(f3182,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f370,f1090]) ).
fof(f3183,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f276,f84]) ).
fof(f3190,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3122,f398,f294]) ).
fof(f3192,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3008,f395,f369]) ).
fof(f3195,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2276,f275,f369,f453]) ).
fof(f3203,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1743,f336,f284]) ).
fof(f3205,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3014,f336,f349]) ).
fof(f3206,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2599,f356,f372,f405,f483]) ).
fof(f3209,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2064,f245,f297]) ).
fof(f3210,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1640,f258,f245]) ).
fof(f3212,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2822,f340,f327]) ).
fof(f3214,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2244,f340,f236]) ).
fof(f3215,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2597,f281,f343,f576]) ).
fof(f3265,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f363,f97]) ).
fof(f3335,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f328,f118]) ).
fof(f3411,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| op(e1,op(e2,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f318,f569]) ).
fof(f3413,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f318,f3411]) ).
fof(f3419,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3182,f307,f369,f405,f472]) ).
fof(f3466,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3067,f382,f330]) ).
fof(f3467,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| op(e1,op(e0,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f620]) ).
fof(f3468,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f3467]) ).
fof(f3474,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3183,f223,f275]) ).
fof(f3483,plain,
( ~ sQ95_spl
| ~ sQ39_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2672,f408,f336,f572]) ).
fof(f3490,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f101]) ).
fof(f3502,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| op(op(e1,e0),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f263,f590]) ).
fof(f3503,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f263,f3502]) ).
fof(f3514,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| op(e2,op(e2,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f321,f569]) ).
fof(f3515,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f3520,f117]) ).
fof(f3517,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| ~ sQ34_spl
| op(op(e2,e2),e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f3520,f577]) ).
fof(f3520,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f321,f3514]) ).
fof(f3521,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3515,f327,f320,f568]) ).
fof(f3522,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| ~ sQ34_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f3520,f3517]) ).
fof(f3523,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3522,f2035]) ).
fof(f3524,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3523]) ).
fof(f3559,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f263,f108]) ).
fof(f3598,plain,
( ~ sQ2_spl
| ~ sQ99_spl
| ~ sQ16_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f3503,f217]) ).
fof(f3599,plain,
( ~ sQ2_spl
| ~ sQ99_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3598,f127]) ).
fof(f3600,plain,
( ~ sQ2_spl
| ~ sQ99_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3599]) ).
fof(f3607,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f227,f230]) ).
fof(f3608,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3607,f129]) ).
fof(f3609,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3610,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2558,f307,f281]) ).
fof(f3611,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3134,f372,f320]) ).
fof(f3613,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| ~ sQ34_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3522,f216,f320,f568,f576]) ).
fof(f3615,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2040,f349,f255,f619]) ).
fof(f3820,plain,
( sQ89_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f220,f548]) ).
fof(f3821,plain,
( sQ89_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f256,f3820]) ).
fof(f3826,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e2,op(e1,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f590]) ).
fof(f3827,plain,
( ~ sQ42_spl
| ~ sQ99_spl
| ~ sQ18_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f3828,f347]) ).
fof(f3828,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f3826]) ).
fof(f3829,plain,
( ~ sQ42_spl
| ~ sQ99_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3827,f127]) ).
fof(f3830,plain,
( ~ sQ42_spl
| ~ sQ99_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3829]) ).
fof(f3853,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| op(e1,op(e0,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f240,f616]) ).
fof(f3854,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f240,f3853]) ).
fof(f3911,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3854,f281,f239,f615]) ).
fof(f3939,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f118]) ).
fof(f3996,plain,
( sQ94_spl
| ~ sQ34_spl
| op(e2,op(e2,e0)) != e0 ),
inference(forward_demodulation,[status(thm)],[f321,f570]) ).
fof(f3997,plain,
( sQ94_spl
| ~ sQ34_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f321,f3996]) ).
fof(f3998,plain,
( sQ94_spl
| ~ sQ34_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f3997]) ).
fof(f3999,plain,
( sQ94_spl
| ~ sQ34_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3998]) ).
fof(f4000,plain,
( sQ94_spl
| ~ sQ34_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3999]) ).
fof(f4051,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e0,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f594]) ).
fof(f4052,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f4051]) ).
fof(f4053,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f211,f4052]) ).
fof(f4054,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4053,f126]) ).
fof(f4055,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4054]) ).
fof(f4080,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3503,f210,f262,f589]) ).
fof(f4084,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f4052,f213,f275,f593]) ).
fof(f4200,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| op(e0,op(e1,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f302,f602]) ).
fof(f4201,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f302,f4200]) ).
fof(f4202,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f211,f4201]) ).
fof(f4203,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4202,f128]) ).
fof(f4204,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4203]) ).
fof(f4210,plain,
( sQ89_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3821,f317,f255,f219,f546]) ).
fof(f4219,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3265,f258,f362]) ).
fof(f4221,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2426,f375,f401]) ).
fof(f4234,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3126,f314,f210]) ).
fof(f4235,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1891,f353,f314]) ).
fof(f4239,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| op(e3,op(e2,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f363,f581]) ).
fof(f4240,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f363,f4239]) ).
fof(f4243,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1729,f262,f210]) ).
fof(f4245,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2594,f392,f336,f343,f521]) ).
fof(f4246,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3520,f340,f320,f568]) ).
fof(f4248,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3413,f275,f317,f568]) ).
fof(f4249,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f4240,f414,f362,f580]) ).
fof(f4295,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f80]) ).
fof(f4462,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f357,f101]) ).
fof(f4479,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| op(e0,op(e2,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f328,f573]) ).
fof(f4480,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f328,f4479]) ).
fof(f4481,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f211,f4480]) ).
fof(f4482,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4481,f126]) ).
fof(f4483,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4482]) ).
fof(f4485,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3335,f353,f327]) ).
fof(f4490,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4295,f366,f210]) ).
fof(f4501,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2267,f395,f411,f502]) ).
fof(f4508,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3468,f284,f252,f619]) ).
fof(f4711,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| op(e0,op(e3,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f367,f454]) ).
fof(f4712,plain,
( ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f4713,f220]) ).
fof(f4713,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f367,f4711]) ).
fof(f4714,plain,
( ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4712,f128]) ).
fof(f4715,plain,
( ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4714]) ).
fof(f4738,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4462,f408,f356]) ).
fof(f4741,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3939,f330,f356]) ).
fof(f4749,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f4201,f219,f301,f601]) ).
fof(f4907,plain,
( sQ74_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f489]) ).
fof(f4908,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f302,f4907]) ).
fof(f4909,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4908]) ).
fof(f4910,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4909]) ).
fof(f4911,plain,
( sQ77_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f285,f500]) ).
fof(f4912,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f302,f4911]) ).
fof(f4913,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f230,f4912]) ).
fof(f4914,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4913]) ).
fof(f4915,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4914]) ).
fof(f4948,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f341,f552]) ).
fof(f5009,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f298,f2432]) ).
fof(f5010,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f380,f5009]) ).
fof(f5011,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5010]) ).
fof(f5012,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f5011]) ).
fof(f5031,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| op(e3,op(e1,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f298,f598]) ).
fof(f5032,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f298,f5031]) ).
fof(f5048,plain,
( ~ sQ35_spl
| sQ90_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f4948]) ).
fof(f5049,plain,
( ~ sQ35_spl
| sQ90_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5048]) ).
fof(f5113,plain,
( ~ sQ63_spl
| ~ sQ101_spl
| ~ sQ27_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f5032,f415]) ).
fof(f5114,plain,
( ~ sQ63_spl
| ~ sQ101_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5113,f131]) ).
fof(f5115,plain,
( ~ sQ63_spl
| ~ sQ101_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5114]) ).
fof(f5147,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f269,f78]) ).
fof(f5156,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f276,f492]) ).
fof(f5157,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f269,f5156]) ).
fof(f5162,plain,
( ~ sQ39_spl
| sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f5157]) ).
fof(f5163,plain,
( ~ sQ39_spl
| sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5162]) ).
fof(f5166,plain,
( sQ86_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f276,f535]) ).
fof(f5167,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f269,f5166]) ).
fof(f5168,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5167]) ).
fof(f5169,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5168]) ).
fof(f5184,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e2,op(e1,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f590]) ).
fof(f5185,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f5184]) ).
fof(f5186,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5185,f342]) ).
fof(f5187,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5186]) ).
fof(f5209,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| op(e0,op(e3,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f462]) ).
fof(f5210,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f5209]) ).
fof(f5211,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5210,f5147]) ).
fof(f5212,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5211]) ).
fof(f5213,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4713,f210,f366,f453]) ).
fof(f5214,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3490,f353,f405]) ).
fof(f5215,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3559,f275,f262]) ).
fof(f5502,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| op(e1,op(e1,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f305,f602]) ).
fof(f5503,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f305,f5502]) ).
fof(f5504,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f276,f5503]) ).
fof(f5505,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5504,f128]) ).
fof(f5506,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5505]) ).
fof(f5507,plain,
$false,
inference(sat_refutation,[status(thm)],[f222,f235,f248,f261,f274,f287,f300,f313,f326,f339,f352,f365,f378,f391,f404,f417,f418,f419,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f445,f446,f447,f448,f449,f456,f460,f464,f468,f486,f493,f497,f501,f505,f513,f520,f524,f528,f532,f536,f549,f553,f557,f558,f562,f563,f564,f571,f575,f579,f583,f584,f592,f596,f600,f604,f605,f610,f614,f618,f622,f626,f630,f633,f636,f639,f642,f646,f649,f652,f655,f658,f662,f668,f671,f680,f683,f687,f690,f693,f696,f702,f706,f710,f713,f725,f729,f732,f735,f739,f753,f757,f759,f766,f769,f770,f791,f802,f806,f808,f809,f812,f816,f817,f819,f822,f823,f824,f825,f834,f861,f875,f885,f886,f887,f888,f901,f903,f904,f908,f909,f910,f911,f912,f920,f947,f952,f955,f964,f977,f978,f986,f990,f991,f994,f995,f996,f997,f998,f999,f1000,f1001,f1006,f1010,f1011,f1012,f1014,f1023,f1024,f1032,f1035,f1060,f1068,f1085,f1096,f1097,f1105,f1113,f1116,f1133,f1148,f1151,f1154,f1155,f1164,f1165,f1176,f1193,f1199,f1200,f1201,f1202,f1203,f1204,f1209,f1210,f1211,f1224,f1225,f1227,f1230,f1233,f1234,f1235,f1281,f1294,f1297,f1301,f1302,f1305,f1306,f1348,f1354,f1370,f1371,f1372,f1373,f1374,f1375,f1378,f1379,f1380,f1381,f1382,f1386,f1388,f1389,f1390,f1391,f1392,f1393,f1410,f1454,f1457,f1462,f1463,f1466,f1467,f1491,f1496,f1500,f1504,f1505,f1512,f1513,f1514,f1536,f1537,f1559,f1563,f1565,f1569,f1609,f1610,f1615,f1630,f1750,f1755,f1758,f1765,f1774,f1775,f1776,f1779,f1780,f1781,f1844,f1943,f1959,f1960,f1976,f1978,f1985,f2030,f2036,f2038,f2080,f2081,f2089,f2090,f2091,f2092,f2093,f2094,f2282,f2314,f2346,f2356,f2364,f2365,f2368,f2370,f2372,f2377,f2380,f2383,f2384,f2386,f2605,f2623,f2636,f2653,f2669,f2677,f2680,f2682,f2688,f2689,f2690,f2691,f2692,f2693,f2695,f2697,f2698,f2699,f2700,f2723,f2899,f2933,f2943,f2952,f2963,f2966,f2968,f2969,f2970,f2971,f2972,f2973,f2974,f2975,f2976,f2977,f2980,f3147,f3177,f3190,f3192,f3195,f3203,f3205,f3206,f3209,f3210,f3212,f3214,f3215,f3419,f3466,f3474,f3483,f3521,f3524,f3600,f3609,f3610,f3611,f3613,f3615,f3830,f3911,f4000,f4055,f4080,f4084,f4204,f4210,f4219,f4221,f4234,f4235,f4243,f4245,f4246,f4248,f4249,f4483,f4485,f4490,f4501,f4508,f4715,f4738,f4741,f4749,f4910,f4915,f5012,f5049,f5115,f5163,f5169,f5187,f5212,f5213,f5214,f5215,f5506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG141+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 12:58:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.63 % Refutation found
% 0.11/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.41/0.67 % Elapsed time: 0.282375 seconds
% 0.41/0.67 % CPU time: 2.002964 seconds
% 0.41/0.67 % Total memory used: 32.806 MB
% 0.41/0.67 % Net memory used: 32.155 MB
%------------------------------------------------------------------------------