%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG132+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:33 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.54s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 130
% Syntax : Number of formulae : 1357 ( 55 unt; 108 def)
% Number of atoms : 3898 (1354 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 4889 (2348 ~;2246 |; 185 &)
% ( 110 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 110 ( 108 usr; 109 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(e3,op(e3,e3)) = e3
& op(e2,op(e3,e2)) = e2
& op(e1,op(e3,e1)) = e1
& op(e0,op(e3,e0)) = e0 )
| ( op(e3,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e1,op(e2,e1)) = e1
& op(e0,op(e2,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3
& op(e2,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e0,e3)) = e3
& op(e2,op(e0,e2)) = e2
& op(e1,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(e3,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e1,op(e2,e1)) = e1
& op(e0,op(e2,e0)) = e0 )
| ( op(e3,op(e1,e3)) = e3
& op(e2,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e0,e3)) = e3
& op(e2,op(e0,e2)) = e2
& op(e1,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( op(e3,op(e3,e3)) = e3
& op(e2,op(e3,e2)) = e2
& op(e1,op(e3,e1)) = e1
& op(e0,op(e3,e0)) = e0 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e0,op(e3,e0)) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(e1,op(e3,e1)) = e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e2,op(e3,e2)) = e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e3,op(e3,e3)) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f139,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f141,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f144,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f145,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f147,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f150,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f151,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f153,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f155,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f158,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f159,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f162,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f163,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f166,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f167,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f170,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f171,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f173,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f175,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f177,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f179,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f181,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f184,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f185,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,definition,
( sP1_prd
<=> ( ( op(e3,op(e1,e3)) = e3
& op(e2,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e0,op(e1,e0)) = e0 )
| ( op(e3,op(e0,e3)) = e3
& op(e2,op(e0,e2)) = e2
& op(e1,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f187,plain,
( sP0_prd
<=> ( ( op(e3,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e1,op(e2,e1)) = e1
& op(e0,op(e2,e0)) = e0 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f186]) ).
fof(f188,plain,
( ( ( ( op(e3,op(e2,e3)) != e3
| op(e2,op(e2,e2)) != e2
| op(e1,op(e2,e1)) != e1
| op(e0,op(e2,e0)) != e0 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e3,op(e2,e3)) = e3
& op(e2,op(e2,e2)) = e2
& op(e1,op(e2,e1)) = e1
& op(e0,op(e2,e0)) = e0 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( op(e0,op(e2,e0)) = e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( op(e1,op(e2,e1)) = e1
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f191,plain,
( op(e2,op(e2,e2)) = e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f192,plain,
( op(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(e3,op(e0,e3)) = e3
& op(e2,op(e0,e2)) = e2
& op(e1,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP1_prd
<=> ( ( op(e3,op(e1,e3)) = e3
& op(e2,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e0,op(e1,e0)) = e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f186,f195]) ).
fof(f197,plain,
( ( ( ( op(e3,op(e1,e3)) != e3
| op(e2,op(e1,e2)) != e2
| op(e1,op(e1,e1)) != e1
| op(e0,op(e1,e0)) != e0 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e3,op(e1,e3)) = e3
& op(e2,op(e1,e2)) = e2
& op(e1,op(e1,e1)) = e1
& op(e0,op(e1,e0)) = e0 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e0,op(e1,e0)) = e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(e1,op(e1,e1)) = e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(e2,op(e1,e2)) = e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(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(e3,op(e0,e3)) != e3
| op(e2,op(e0,e2)) != e2
| op(e1,op(e0,e1)) != e1
| op(e0,op(e0,e0)) != e0
| sP2_prd )
& ( ( op(e3,op(e0,e3)) = e3
& op(e2,op(e0,e2)) = e2
& op(e1,op(e0,e1)) = e1
& op(e0,op(e0,e0)) = e0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f195]) ).
fof(f205,plain,
( op(e0,op(e0,e0)) = e0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e1,op(e0,e1)) = e1
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f207,plain,
( op(e2,op(e0,e2)) = e2
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f208,plain,
( op(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(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(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(f306,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(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(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(e0,op(e3,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ65_spl
| op(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(e1,op(e3,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ66_spl
| op(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(e2,op(e3,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ67_spl
| op(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(e3,op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ68_spl
| op(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
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ69_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ70_spl
<=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ70_spl
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f139,f340,f469,f472]) ).
fof(f476,definition,
( sQ71_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ71_spl
| e1 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ71_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ72_spl
<=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( sQ72_spl
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ sQ72_spl
| ~ sQ71_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f141,f405,f476,f479]) ).
fof(f483,definition,
( sQ73_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ73_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ74_spl
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ74_spl
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f490,definition,
( sQ75_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ75_spl
| e2 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ75_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ76_spl
<=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ76_spl
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ76_spl
| ~ sQ75_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f145,f405,f490,f493]) ).
fof(f497,definition,
( sQ77_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ77_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ78_spl
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ78_spl
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f147,f275,f497,f500]) ).
fof(f507,definition,
( sQ80_spl
<=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ80_spl
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f511,definition,
( sQ81_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ81_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f151,f343,f511,f472]) ).
fof(f515,definition,
( sQ82_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ82_spl
| e0 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ82_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ72_spl
| ~ sQ82_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f153,f408,f515,f479]) ).
fof(f519,definition,
( sQ83_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ83_spl
| e2 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ83_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ84_spl
<=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( sQ84_spl
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f155,f213,f519,f522]) ).
fof(f530,definition,
( sQ86_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ86_spl
| e3 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ86_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ87_spl
<=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ87_spl
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f159,f213,f530,f533]) ).
fof(f537,definition,
( sQ88_spl
<=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ88_spl
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f541,definition,
( sQ89_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ89_spl
| e0 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ89_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( ~ sQ74_spl
| ~ sQ89_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f163,f281,f541,f486]) ).
fof(f546,definition,
( sQ90_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ90_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ sQ84_spl
| ~ sQ90_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f167,f216,f546,f522]) ).
fof(f551,definition,
( sQ91_spl
<=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ91_spl
| e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( sQ91_spl
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ91_spl
| ~ sQ86_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f171,f216,f530,f551]) ).
fof(f555,definition,
( sQ92_spl
<=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ92_spl
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ sQ92_spl
| ~ sQ77_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f173,f281,f497,f555]) ).
fof(f559,plain,
( ~ sQ78_spl
| ~ sQ89_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f175,f284,f541,f500]) ).
fof(f560,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f177,f349,f511,f507]) ).
fof(f561,plain,
( ~ sQ87_spl
| ~ sQ90_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f179,f219,f546,f533]) ).
fof(f562,plain,
( ~ sQ88_spl
| ~ sQ69_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f181,f349,f469,f537]) ).
fof(f564,plain,
( ~ sQ92_spl
| ~ sQ73_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f185,f284,f483,f555]) ).
fof(f565,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f568,definition,
( sQ94_spl
<=> op(e0,op(e2,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ94_spl
| op(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(e1,op(e2,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ95_spl
| op(e1,op(e2,e1)) = e1 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f574,plain,
( sQ95_spl
| op(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(e2,op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ96_spl
| op(e2,op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( sQ96_spl
| op(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(e3,op(e2,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ97_spl
| op(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(e0,op(e1,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ99_spl
| op(e0,op(e1,e0)) = e0 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ99_spl
| op(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(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ100_spl
| op(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(e2,op(e1,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ101_spl
| op(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(e3,op(e1,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ102_spl
| op(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(e0,op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ103_spl
| op(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(e1,op(e0,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ104_spl
| op(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(e2,op(e0,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ105_spl
| op(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(e3,op(e0,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ106_spl
| op(e3,op(e0,e3)) = e3 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f621,plain,
( sQ106_spl
| op(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(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(f685,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f334,f337]) ).
fof(f686,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f131]) ).
fof(f687,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f321,f324]) ).
fof(f689,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f131]) ).
fof(f690,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f289,f292]) ).
fof(f693,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f126]) ).
fof(f694,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f237,f240]) ).
fof(f696,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f126]) ).
fof(f697,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f328,f331]) ).
fof(f699,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f126]) ).
fof(f700,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f315,f318]) ).
fof(f702,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f126]) ).
fof(f703,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f233,f86]) ).
fof(f705,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f233,f84]) ).
fof(f706,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f272,f78]) ).
fof(f707,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f230,f233]) ).
fof(f708,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f131]) ).
fof(f709,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f272,f81]) ).
fof(f711,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f269,f272]) ).
fof(f712,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f131]) ).
fof(f713,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f87]) ).
fof(f715,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f224,f227]) ).
fof(f716,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f715,f126]) ).
fof(f717,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f263,f266]) ).
fof(f719,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f126]) ).
fof(f720,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f88]) ).
fof(f726,plain,
( ~ sQ25_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f292,f90]) ).
fof(f731,plain,
( ~ sQ37_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f714]) ).
fof(f732,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f240,f246]) ).
fof(f735,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f130]) ).
fof(f736,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f735]) ).
fof(f737,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f292,f298]) ).
fof(f738,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f130]) ).
fof(f739,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f259]) ).
fof(f742,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f130]) ).
fof(f743,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f347,f91]) ).
fof(f750,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f386,f89]) ).
fof(f753,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f92]) ).
fof(f754,plain,
( ~ sQ49_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f318,f659]) ).
fof(f755,plain,
( ~ sQ49_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f754]) ).
fof(f756,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f755]) ).
fof(f759,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f347,f93]) ).
fof(f762,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f370,f373]) ).
fof(f763,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f129]) ).
fof(f764,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f767,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f272,f82]) ).
fof(f768,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f227,f233]) ).
fof(f769,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f130]) ).
fof(f770,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f78]) ).
fof(f772,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f211,f214]) ).
fof(f773,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f126]) ).
fof(f774,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f721,f382,f278]) ).
fof(f777,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f386,f86]) ).
fof(f779,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f402,f94]) ).
fof(f781,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f759]) ).
fof(f782,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f266,f272]) ).
fof(f785,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f130]) ).
fof(f786,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f402,f95]) ).
fof(f791,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f256,f96]) ).
fof(f793,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f328,f337]) ).
fof(f794,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f793,f128]) ).
fof(f795,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f750,f333,f385]) ).
fof(f798,plain,
( ~ sQ27_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f779]) ).
fof(f799,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f805,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f98]) ).
fof(f812,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f97]) ).
fof(f817,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f311,f100]) ).
fof(f818,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f817]) ).
fof(f819,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f818]) ).
fof(f820,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f823,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f224,f233]) ).
fof(f824,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f128]) ).
fof(f825,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f777,f229,f385]) ).
fof(f833,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f243,f103]) ).
fof(f838,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f240,f243]) ).
fof(f839,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f838,f129]) ).
fof(f840,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( ~ sQ3_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f627]) ).
fof(f843,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f842]) ).
fof(f844,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f462]) ).
fof(f847,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f211,f104]) ).
fof(f848,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f211,f102]) ).
fof(f849,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f354,f101]) ).
fof(f852,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f354,f363]) ).
fof(f853,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f128]) ).
fof(f854,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f856,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f256,f104]) ).
fof(f857,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f305,f311]) ).
fof(f858,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f130]) ).
fof(f859,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f864,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f256,f106]) ).
fof(f868,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f227,f105]) ).
fof(f869,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f282,f285]) ).
fof(f870,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f131]) ).
fof(f871,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f870]) ).
fof(f878,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f466]) ).
fof(f879,plain,
( ~ sQ30_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f791]) ).
fof(f880,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f883,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f227,f106]) ).
fof(f884,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f710,f323,f271]) ).
fof(f886,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f246,f107]) ).
fof(f892,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f396,f399]) ).
fof(f893,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f129]) ).
fof(f894,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f844,f320,f392,f461]) ).
fof(f899,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f883,f252,f226]) ).
fof(f900,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f308,f110]) ).
fof(f904,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f900,f268,f307]) ).
fof(f905,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f864,f229,f255]) ).
fof(f906,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f237,f246]) ).
fof(f907,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f128]) ).
fof(f908,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f706,f219,f271]) ).
fof(f910,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f848,f223,f210]) ).
fof(f911,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f771,f262,f210]) ).
fof(f912,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f868,f239,f226]) ).
fof(f914,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f295,f111]) ).
fof(f916,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f295,f109]) ).
fof(f919,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f289,f295]) ).
fof(f920,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f919,f127]) ).
fof(f921,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f380,f389]) ).
fof(f923,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f922,f128]) ).
fof(f924,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f928,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f315,f114]) ).
fof(f929,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f344,f350]) ).
fof(f930,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f929,f130]) ).
fof(f931,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f930]) ).
fof(f932,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f259]) ).
fof(f933,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f128]) ).
fof(f934,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f357,f363]) ).
fof(f937,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f130]) ).
fof(f938,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f665,f219,f323]) ).
fof(f940,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f705,f284,f232]) ).
fof(f941,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f704,f388,f232]) ).
fof(f943,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f302,f113]) ).
fof(f944,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f302,f112]) ).
fof(f945,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f115]) ).
fof(f948,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f285,f108]) ).
fof(f950,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f117]) ).
fof(f956,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f334,f118]) ).
fof(f958,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f956,f359,f333]) ).
fof(f963,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f341,f119]) ).
fof(f970,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f121]) ).
fof(f973,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f383,f120]) ).
fof(f976,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f973,f369,f382]) ).
fof(f979,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f122]) ).
fof(f988,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f383,f123]) ).
fof(f992,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f116]) ).
fof(f994,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f944]) ).
fof(f995,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f357,f119]) ).
fof(f997,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f227,f230]) ).
fof(f998,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f129]) ).
fof(f999,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f998]) ).
fof(f1000,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f360]) ).
fof(f1001,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f129]) ).
fof(f1002,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1003,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f124]) ).
fof(f1006,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f125]) ).
fof(f1008,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f485]) ).
fof(f1014,plain,
( sQ83_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f220,f521]) ).
fof(f1025,plain,
( sQ90_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f220,f548]) ).
fof(f1033,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f263,f269]) ).
fof(f1034,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f127]) ).
fof(f1035,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1034]) ).
fof(f1048,plain,
( sQ78_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f285,f502]) ).
fof(f1072,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f380,f458]) ).
fof(f1083,plain,
( sQ89_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f543]) ).
fof(f1094,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1072,f643]) ).
fof(f1095,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1104,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f315,f321]) ).
fof(f1105,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f127]) ).
fof(f1106,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1105]) ).
fof(f1111,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f370,f122]) ).
fof(f1112,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f928,f327,f314]) ).
fof(f1113,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f370,f376]) ).
fof(f1114,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1113,f130]) ).
fof(f1115,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1116,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f992,f317,f356]) ).
fof(f1117,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f767,f375,f271]) ).
fof(f1118,plain,
( sQ89_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1083,f301,f284,f541]) ).
fof(f1119,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f948,f271,f284]) ).
fof(f1120,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f886,f258,f245]) ).
fof(f1122,plain,
( sQ86_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f214,f532]) ).
fof(f1124,plain,
( sQ86_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1122,f232,f213,f530]) ).
fof(f1125,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f214,f535]) ).
fof(f1126,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f214,f1125]) ).
fof(f1131,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f214,f220]) ).
fof(f1132,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f130]) ).
fof(f1133,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1132]) ).
fof(f1134,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f988,f395,f382]) ).
fof(f1135,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f878,f401,f411,f465]) ).
fof(f1142,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f250,f620]) ).
fof(f1145,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f1142]) ).
fof(f1146,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f128]) ).
fof(f1147,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f979,f375,f414]) ).
fof(f1149,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f812,f252,f356]) ).
fof(f1162,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1006,f401,f414]) ).
fof(f1163,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1072,f265,f379,f457]) ).
fof(f1165,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f914,f281,f294]) ).
fof(f1168,plain,
( ~ sQ55_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f1003]) ).
fof(f1169,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1168]) ).
fof(f1178,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f321,f79]) ).
fof(f1180,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f230,f612]) ).
fof(f1183,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1180,f291,f229,f611]) ).
fof(f1185,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f1178]) ).
fof(f1186,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1190,plain,
( ~ sQ49_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f370,f80]) ).
fof(f1192,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1190,f213,f369]) ).
fof(f1207,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f963,f353,f340]) ).
fof(f1208,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f950,f327,f340]) ).
fof(f1212,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f847,f249,f210]) ).
fof(f1214,plain,
( ~ sQ86_spl
| ~ sQ103_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f608,f531]) ).
fof(f1215,plain,
( ~ sQ86_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f128]) ).
fof(f1216,plain,
( ~ sQ86_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sQ73_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1008,f307,f284,f483]) ).
fof(f1225,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f406,f409]) ).
fof(f1226,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1225,f126]) ).
fof(f1227,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1226]) ).
fof(f1228,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f943,f288,f301]) ).
fof(f1229,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f788,f349,f401]) ).
fof(f1231,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f376,f83]) ).
fof(f1235,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f282,f87]) ).
fof(f1236,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f282,f88]) ).
fof(f1242,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f214,f78]) ).
fof(f1244,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f282,f84]) ).
fof(f1252,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f321,f81]) ).
fof(f1260,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f95]) ).
fof(f1264,plain,
( ~ sQ6_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f1244]) ).
fof(f1265,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f409,f1111]) ).
fof(f1268,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1267]) ).
fof(f1269,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f263,f82]) ).
fof(f1274,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f393,f402]) ).
fof(f1275,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f128]) ).
fof(f1276,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f745,f242,f346]) ).
fof(f1279,plain,
( sQ90_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1025,f252,f219,f546]) ).
fof(f1280,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f970,f372,f398]) ).
fof(f1281,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1236,f385,f281]) ).
fof(f1283,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f331,f85]) ).
fof(f1284,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1283,f226,f330]) ).
fof(f1285,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f945,f314,f340]) ).
fof(f1286,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1271,f366,f262]) ).
fof(f1289,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f292,f94]) ).
fof(f1290,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1289,f395,f291]) ).
fof(f1291,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f292,f295]) ).
fof(f1292,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f129]) ).
fof(f1293,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f849,f405,f353]) ).
fof(f1295,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f856,f216,f255]) ).
fof(f1298,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f98]) ).
fof(f1299,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1298,f255,f411]) ).
fof(f1300,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f996,f343,f356]) ).
fof(f1302,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f833,f216,f242]) ).
fof(f1303,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1242,f265,f213]) ).
fof(f1304,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f916,f268,f294]) ).
fof(f1305,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f376]) ).
fof(f1306,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f128]) ).
fof(f1307,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( sQ83_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1014,f255,f219,f519]) ).
fof(f1319,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f92]) ).
fof(f1320,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f380,f86]) ).
fof(f1323,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f337,f89]) ).
fof(f1338,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f99]) ).
fof(f1347,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f357,f101]) ).
fof(f1350,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f243,f616]) ).
fof(f1351,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1350,f346,f242,f615]) ).
fof(f1368,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f341,f471]) ).
fof(f1373,plain,
( sQ89_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f543]) ).
fof(f1374,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f396,f462]) ).
fof(f1375,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f321,f569]) ).
fof(f1376,plain,
( ~ sQ95_spl
| ~ sQ39_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f337,f573]) ).
fof(f1377,plain,
( sQ96_spl
| ~ sQ40_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f341,f578]) ).
fof(f1378,plain,
( sQ96_spl
| ~ sQ40_spl
| ~ sQ34_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f321,f1377]) ).
fof(f1379,plain,
( sQ96_spl
| ~ sQ40_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1378]) ).
fof(f1380,plain,
( sQ96_spl
| ~ sQ40_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1381,plain,
( sQ99_spl
| ~ sQ17_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f266,f591]) ).
fof(f1384,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f256,f97]) ).
fof(f1385,plain,
( sQ89_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1373,f288,f281,f541]) ).
fof(f1386,plain,
( sQ95_spl
| ~ sQ39_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f337,f574]) ).
fof(f1387,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| e0 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f542]) ).
fof(f1396,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f211,f220]) ).
fof(f1397,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1396,f128]) ).
fof(f1398,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1405,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f237,f243]) ).
fof(f1406,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f127]) ).
fof(f1407,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1406]) ).
fof(f1408,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1384,f359,f255]) ).
fof(f1411,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1260,f340,f392]) ).
fof(f1413,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f643,f265,f369]) ).
fof(f1414,plain,
( sQ99_spl
| ~ sQ17_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1381,f223,f265,f589]) ).
fof(f1415,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1374,f333,f395,f461]) ).
fof(f1416,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1319,f239,f395]) ).
fof(f1422,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f240,f107]) ).
fof(f1425,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f285,f111]) ).
fof(f1436,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f214,f217]) ).
fof(f1437,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1436,f129]) ).
fof(f1438,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1425,f297,f284]) ).
fof(f1440,plain,
( ~ sQ35_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f1231]) ).
fof(f1441,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1440]) ).
fof(f1442,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1323,f388,f336]) ).
fof(f1443,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f753,f245,f401]) ).
fof(f1444,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1422,f252,f239]) ).
fof(f1449,plain,
( ~ sQ31_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f113]) ).
fof(f1451,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f110]) ).
fof(f1464,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f376,f121]) ).
fof(f1477,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f376,f120]) ).
fof(f1487,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f250,f256]) ).
fof(f1488,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f127]) ).
fof(f1489,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f279,f282]) ).
fof(f1492,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1491,f129]) ).
fof(f1493,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1492]) ).
fof(f1494,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f279,f112]) ).
fof(f1502,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f211,f217]) ).
fof(f1503,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1502,f127]) ).
fof(f1504,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1513,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1347,f408,f356]) ).
fof(f1517,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1375,f236,f320,f568]) ).
fof(f1524,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f279,f285]) ).
fof(f1525,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1524,f130]) ).
fof(f1526,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1525]) ).
fof(f1527,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f367,f122]) ).
fof(f1530,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f367,f80]) ).
fof(f1535,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f409,f124]) ).
fof(f1536,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f409,f125]) ).
fof(f1537,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f367,f83]) ).
fof(f1556,plain,
( ~ sQ0_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f1530]) ).
fof(f1557,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1556]) ).
fof(f1561,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1235,f333,f281]) ).
fof(f1562,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1536,f395,f408]) ).
fof(f1563,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f1449]) ).
fof(f1564,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1573,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f237,f90]) ).
fof(f1577,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f285,f88]) ).
fof(f1587,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f344,f95]) ).
fof(f1639,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f363,f101]) ).
fof(f1656,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f237,f92]) ).
fof(f1664,plain,
( ~ sQ3_spl
| ~ sQ99_spl
| ~ sQ16_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f1665,f220]) ).
fof(f1665,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f263,f590]) ).
fof(f1666,plain,
( ~ sQ3_spl
| ~ sQ99_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f128]) ).
fof(f1667,plain,
( ~ sQ3_spl
| ~ sQ99_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1671,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f305,f96]) ).
fof(f1673,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f98]) ).
fof(f1674,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1587,f395,f343]) ).
fof(f1675,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1464,f401,f375]) ).
fof(f1679,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f93]) ).
fof(f1683,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1252,f268,f320]) ).
fof(f1685,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f344,f91]) ).
fof(f1691,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f412]) ).
fof(f1692,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1691,f127]) ).
fof(f1693,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1694,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1656,f392,f236]) ).
fof(f1695,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f347]) ).
fof(f1696,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f129]) ).
fof(f1697,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1142,f375,f249,f619]) ).
fof(f1700,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f726,f239,f291]) ).
fof(f1703,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f263,f109]) ).
fof(f1706,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f263,f108]) ).
fof(f1740,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f246,f105]) ).
fof(f1764,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f295,f113]) ).
fof(f1792,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f224,f84]) ).
fof(f1802,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f386,f124]) ).
fof(f1806,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f321,f83]) ).
fof(f1826,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f246,f90]) ).
fof(f1844,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f311,f99]) ).
fof(f1846,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f246,f616]) ).
fof(f1847,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| ~ sQ45_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f1846]) ).
fof(f1848,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1847,f129]) ).
fof(f1849,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1848]) ).
fof(f1850,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1846,f359,f245,f615]) ).
fof(f1854,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1740,f232,f245]) ).
fof(f1856,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1826,f297,f245]) ).
fof(f1861,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1671,f252,f304]) ).
fof(f1863,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f100]) ).
fof(f1866,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f341,f347]) ).
fof(f1867,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1866,f127]) ).
fof(f1868,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1867]) ).
fof(f1869,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1806,f372,f320]) ).
fof(f1870,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1844,f362,f310]) ).
fof(f1872,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1537,f314,f366]) ).
fof(f1873,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1573,f288,f236]) ).
fof(f1875,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1338,f304,f356]) ).
fof(f1876,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1706,f275,f262]) ).
fof(f1877,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1665,f210,f262,f589]) ).
fof(f1879,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1451,f271,f310]) ).
fof(f1880,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1792,f275,f223]) ).
fof(f1881,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1535,f382,f408]) ).
fof(f1882,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1320,f223,f379]) ).
fof(f1883,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1802,f411,f385]) ).
fof(f1884,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1863,f301,f405]) ).
fof(f1885,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1639,f414,f362]) ).
fof(f1886,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1577,f388,f284]) ).
fof(f1887,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1764,f307,f294]) ).
fof(f1888,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1679,f291,f343]) ).
fof(f1890,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1527,f405,f366]) ).
fof(f1915,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f328,f85]) ).
fof(f1920,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f217,f78]) ).
fof(f1931,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f302,f308]) ).
fof(f1932,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f127]) ).
fof(f1933,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1932]) ).
fof(f1938,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f217,f553]) ).
fof(f1939,plain,
( sQ91_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f217,f1938]) ).
fof(f1941,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f367,f454]) ).
fof(f1942,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f217,f220]) ).
fof(f1943,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1942,f131]) ).
fof(f1944,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1943]) ).
fof(f1961,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f276,f279]) ).
fof(f1962,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f126]) ).
fof(f1963,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1967,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f112]) ).
fof(f2039,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f324,f115]) ).
fof(f2053,plain,
( ~ sQ26_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f295,f94]) ).
fof(f2081,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f305,f100]) ).
fof(f2089,plain,
( sQ86_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f217,f532]) ).
fof(f2095,plain,
( sQ84_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f217,f524]) ).
fof(f2096,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f240,f2095]) ).
fof(f2097,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f217,f2096]) ).
fof(f2101,plain,
( sQ71_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f406,f478]) ).
fof(f2102,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f370,f2101]) ).
fof(f2103,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2102]) ).
fof(f2104,plain,
( sQ71_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2107,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2089,f245,f216,f530]) ).
fof(f2110,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1967,f310,f284]) ).
fof(f2114,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1920,f268,f216]) ).
fof(f2115,plain,
( ~ sQ65_spl
| ~ sQ48_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1941,f210,f366,f453]) ).
fof(f2119,plain,
( sQ77_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f276,f499]) ).
fof(f2121,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2119,f271,f275,f497]) ).
fof(f2123,plain,
( sQ78_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f276,f502]) ).
fof(f2124,plain,
( sQ78_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f276,f2123]) ).
fof(f2168,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f409,f412]) ).
fof(f2169,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f129]) ).
fof(f2170,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2175,plain,
( ~ sQ95_spl
| ~ sQ39_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1376,f304,f336,f572]) ).
fof(f2179,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f594]) ).
fof(f2180,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f311,f602]) ).
fof(f2193,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(op(e0,op(e0,e0)),e3) ),
inference(backward_demodulation,[status(thm)],[f220,f535]) ).
fof(f2194,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e3) ),
inference(forward_demodulation,[status(thm)],[f220,f2193]) ).
fof(f2204,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f276,f111]) ).
fof(f2209,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f367,f120]) ).
fof(f2211,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2209,f379,f366]) ).
fof(f2236,plain,
( sQ82_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f409,f517]) ).
fof(f2237,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f380,f2236]) ).
fof(f2238,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2237]) ).
fof(f2239,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2238]) ).
fof(f2245,plain,
( ~ sQ102_spl
| ~ sQ31_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2180,f414,f310,f601]) ).
fof(f2246,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1477,f388,f375]) ).
fof(f2304,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f224,f105]) ).
fof(f2307,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f253,f256]) ).
fof(f2308,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2307,f129]) ).
fof(f2309,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2308]) ).
fof(f2310,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f246,f1939]) ).
fof(f2329,plain,
( sQ106_spl
| ~ sQ13_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f253,f621]) ).
fof(f2340,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f124]) ).
fof(f2371,plain,
( sQ106_spl
| ~ sQ13_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f2329]) ).
fof(f2372,plain,
( sQ106_spl
| ~ sQ13_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2371]) ).
fof(f2373,plain,
( sQ106_spl
| ~ sQ13_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2372]) ).
fof(f2374,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f620]) ).
fof(f2375,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f253,f98]) ).
fof(f2413,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f217,f80]) ).
fof(f2460,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f360,f101]) ).
fof(f2470,plain,
( sQ75_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f406,f492]) ).
fof(f2485,plain,
( ~ sQ31_spl
| ~ sQ66_spl
| ~ sQ55_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f2486,f311]) ).
fof(f2486,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f389,f458]) ).
fof(f2487,plain,
( ~ sQ31_spl
| ~ sQ66_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2485,f130]) ).
fof(f2488,plain,
( ~ sQ31_spl
| ~ sQ66_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2489,plain,
( sQ75_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2470,f372,f405,f490]) ).
fof(f2492,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2413,f372,f216]) ).
fof(f2499,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1915,f223,f327]) ).
fof(f2503,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2304,f236,f223]) ).
fof(f2508,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f253,f2194]) ).
fof(f2509,plain,
( ~ sQ106_spl
| ~ sQ13_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2374,f388,f252,f619]) ).
fof(f2510,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f224,f230]) ).
fof(f2511,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f127]) ).
fof(f2512,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2524,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f347,f119]) ).
fof(f2576,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f285,f87]) ).
fof(f2599,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f347,f95]) ).
fof(f2613,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f292,f113]) ).
fof(f2623,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f315,f116]) ).
fof(f2666,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f302,f1048]) ).
fof(f2667,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f2666]) ).
fof(f2684,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f590]) ).
fof(f2690,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f230,f85]) ).
fof(f2700,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f302,f602]) ).
fof(f2701,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f370,f2700]) ).
fof(f2702,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2701,f130]) ).
fof(f2703,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2706,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f315,f569]) ).
fof(f2707,plain,
( ~ sQ95_spl
| ~ sQ37_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f331,f573]) ).
fof(f2709,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f363,f581]) ).
fof(f2710,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f2709]) ).
fof(f2711,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2710,f131]) ).
fof(f2712,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2713,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2700,f375,f301,f601]) ).
fof(f2724,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f285,f594]) ).
fof(f2760,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2524,f359,f346]) ).
fof(f2771,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1673,f249,f405]) ).
fof(f2772,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1685,f239,f343]) ).
fof(f2773,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1703,f288,f262]) ).
fof(f2776,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1494,f304,f278]) ).
fof(f2799,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f328,f118]) ).
fof(f2820,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f399,f123]) ).
fof(f2826,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f399,f125]) ).
fof(f2832,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f367,f121]) ).
fof(f2839,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f399,f92]) ).
fof(f2896,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f272,f109]) ).
fof(f2908,plain,
( sQ81_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f513]) ).
fof(f2910,plain,
( sQ88_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f350,f539]) ).
fof(f2911,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f357,f2910]) ).
fof(f2912,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f2911]) ).
fof(f2913,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f302,f2912]) ).
fof(f2914,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2913]) ).
fof(f2915,plain,
( sQ88_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2914]) ).
fof(f2919,plain,
( sQ69_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f471]) ).
fof(f2920,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f357,f2919]) ).
fof(f2921,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2920]) ).
fof(f2922,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2921]) ).
fof(f2923,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f272,f2124]) ).
fof(f2932,plain,
( sQ91_spl
| ~ sQ1_spl
| e1 != op(op(e0,e1),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f214,f553]) ).
fof(f2933,plain,
( sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e1 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f233,f2932]) ).
fof(f2934,plain,
( sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f214,f2933]) ).
fof(f2935,plain,
( sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f383,f2934]) ).
fof(f2936,plain,
( sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2935]) ).
fof(f2937,plain,
( sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2936]) ).
fof(f2942,plain,
( sQ80_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f350,f509]) ).
fof(f2945,plain,
( sQ70_spl
| ~ sQ43_spl
| e3 != op(op(e2,e3),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f350,f474]) ).
fof(f2946,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f357,f2945]) ).
fof(f2947,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f2946]) ).
fof(f2970,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f350,f91]) ).
fof(f2972,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2706,f210,f314,f568]) ).
fof(f2976,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f383,f89]) ).
fof(f2980,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| e1 = op(op(e0,e1),op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f214,f552]) ).
fof(f2981,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e1 = op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f233,f2980]) ).
fof(f2982,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e1 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f214,f2981]) ).
fof(f2983,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2832,f392,f366]) ).
fof(f2985,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f383,f386]) ).
fof(f2986,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2985,f129]) ).
fof(f2987,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2988,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2340,f379,f405]) ).
fof(f3050,plain,
( sQ74_spl
| ~ sQ22_spl
| e3 != op(op(e1,op(e1,e1)),e2) ),
inference(backward_demodulation,[status(thm)],[f282,f488]) ).
fof(f3054,plain,
( sQ74_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e2) ),
inference(forward_demodulation,[status(thm)],[f282,f3050]) ).
fof(f3091,plain,
( ~ sQ35_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f324,f114]) ).
fof(f3122,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f266,f109]) ).
fof(f3152,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1387,f94]) ).
fof(f3163,plain,
( sQ81_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f344,f513]) ).
fof(f3164,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f328,f3163]) ).
fof(f3165,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3164]) ).
fof(f3166,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3165]) ).
fof(f3167,plain,
( sQ70_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f344,f474]) ).
fof(f3168,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f328,f3167]) ).
fof(f3169,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f344,f3168]) ).
fof(f3176,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f250,f97]) ).
fof(f3190,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f324,f569]) ).
fof(f3193,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f328,f573]) ).
fof(f3198,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f577]) ).
fof(f3199,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f3198]) ).
fof(f3200,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3199,f127]) ).
fof(f3201,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3200]) ).
fof(f3209,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2576,f336,f284]) ).
fof(f3215,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2820,f385,f398]) ).
fof(f3216,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3091,f336,f323]) ).
fof(f3230,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3152,f392,f281,f541]) ).
fof(f3236,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f266,f269]) ).
fof(f3237,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3236,f129]) ).
fof(f3238,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3239,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2970,f245,f349]) ).
fof(f3242,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1368,f317,f340,f469]) ).
fof(f3245,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2709,f414,f362,f580]) ).
fof(f3246,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| e0 = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f409,f516]) ).
fof(f3444,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f341,f577]) ).
fof(f3455,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2976,f330,f382]) ).
fof(f3470,plain,
( ~ sQ75_spl
| ~ sQ60_spl
| e2 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f406,f491]) ).
fof(f3489,plain,
( sQ84_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2097,f297,f239,f216,f522]) ).
fof(f3491,plain,
( ~ sQ66_spl
| ~ sQ55_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2486,f304,f388,f457]) ).
fof(f3497,plain,
( ~ sQ71_spl
| ~ sQ60_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f406,f477]) ).
fof(f3500,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f240,f616]) ).
fof(f3501,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3190,f249,f323,f568]) ).
fof(f3502,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f224,f612]) ).
fof(f3503,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f263,f3502]) ).
fof(f3504,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3503,f126]) ).
fof(f3505,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3504]) ).
fof(f3506,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3502,f265,f223,f611]) ).
fof(f3553,plain,
( sQ72_spl
| ~ sQ61_spl
| e2 != op(op(e3,op(e3,e3)),e1) ),
inference(backward_demodulation,[status(thm)],[f409,f481]) ).
fof(f3556,plain,
( sQ72_spl
| ~ sQ61_spl
| e2 != op(op(e3,e1),e1) ),
inference(forward_demodulation,[status(thm)],[f409,f3553]) ).
fof(f3651,plain,
( ~ sQ83_spl
| ~ sQ3_spl
| e2 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f220,f520]) ).
fof(f3660,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f318,f115]) ).
fof(f3664,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f577]) ).
fof(f3665,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f354,f3664]) ).
fof(f3666,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3665,f127]) ).
fof(f3667,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3666]) ).
fof(f3669,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f289,f3054]) ).
fof(f3690,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f321]) ).
fof(f3691,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3690,f129]) ).
fof(f3692,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3691]) ).
fof(f3701,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3444,f320,f340,f576]) ).
fof(f3721,plain,
( ~ sQ95_spl
| ~ sQ37_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2707,f278,f330,f572]) ).
fof(f3725,plain,
( sQ70_spl
| ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2947,f310,f356,f349,f472]) ).
fof(f3783,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f214,f79]) ).
fof(f3940,plain,
( sQ76_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f406,f495]) ).
fof(f3944,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f233,f1126]) ).
fof(f3946,plain,
( ~ sQ22_spl
| ~ sQ66_spl
| ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f3947,f282]) ).
fof(f3947,plain,
( ~ sQ66_spl
| ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f2982,f458]) ).
fof(f3948,plain,
( ~ sQ22_spl
| ~ sQ66_spl
| ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3946,f129]) ).
fof(f3949,plain,
( ~ sQ22_spl
| ~ sQ66_spl
| ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3948]) ).
fof(f3950,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f328,f87]) ).
fof(f3959,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f328,f573]) ).
fof(f3960,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f263,f3959]) ).
fof(f3961,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3960,f126]) ).
fof(f3962,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3961]) ).
fof(f3980,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f3500]) ).
fof(f3981,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f127]) ).
fof(f3982,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3988,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f376,f454]) ).
fof(f3989,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f466]) ).
fof(f3996,plain,
( sQ72_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f406,f481]) ).
fof(f4040,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ51_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f3988,f256]) ).
fof(f4041,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4040,f127]) ).
fof(f4042,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4041]) ).
fof(f4054,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2839,f242,f398]) ).
fof(f4070,plain,
( sQ72_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f406,f3996]) ).
fof(f4072,plain,
( sQ76_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e0) ),
inference(forward_demodulation,[status(thm)],[f406,f3940]) ).
fof(f4077,plain,
( ~ sQ20_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f3950]) ).
fof(f4078,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4077]) ).
fof(f4087,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f321,f114]) ).
fof(f4095,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3989,f375,f405,f465]) ).
fof(f4096,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2684,f236,f268,f589]) ).
fof(f4097,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3660,f343,f317]) ).
fof(f4098,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3198,f333,f343,f576]) ).
fof(f4099,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2081,f408,f304]) ).
fof(f4101,plain,
( sQ78_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2923,f372,f271,f275,f500]) ).
fof(f4102,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2613,f304,f291]) ).
fof(f4105,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2179,f265,f275,f593]) ).
fof(f4106,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2799,f353,f327]) ).
fof(f4108,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2826,f411,f398]) ).
fof(f4109,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3176,f353,f249]) ).
fof(f4113,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2599,f398,f346]) ).
fof(f4115,plain,
( sQ78_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2667,f255,f301,f284,f500]) ).
fof(f4117,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3500,f333,f239,f615]) ).
fof(f4215,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f298,f93]) ).
fof(f4263,plain,
( ~ sQ50_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f373,f122]) ).
fof(f4273,plain,
( ~ sQ33_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f318,f114]) ).
fof(f4295,plain,
( sQ92_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f282,f557]) ).
fof(f4296,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f298,f4295]) ).
fof(f4297,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f4296]) ).
fof(f4298,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f4297]) ).
fof(f4299,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4298]) ).
fof(f4300,plain,
( sQ92_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4299]) ).
fof(f4304,plain,
( sQ77_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f282,f499]) ).
fof(f4305,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f298,f4304]) ).
fof(f4306,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4305]) ).
fof(f4307,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4306]) ).
fof(f4308,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f354,f2942]) ).
fof(f4330,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f393,f123]) ).
fof(f4390,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f4308]) ).
fof(f4428,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| ~ sQ54_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f4429,f295]) ).
fof(f4429,plain,
( ~ sQ66_spl
| ~ sQ54_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f386,f458]) ).
fof(f4430,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4428,f129]) ).
fof(f4431,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4430]) ).
fof(f4464,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f305,f110]) ).
fof(f4477,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f354,f581]) ).
fof(f4547,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f4477]) ).
fof(f4548,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4547,f128]) ).
fof(f4549,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4548]) ).
fof(f4552,plain,
( ~ sQ104_spl
| ~ sQ5_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f227,f612]) ).
fof(f4553,plain,
( ~ sQ104_spl
| ~ sQ5_spl
| ~ sQ20_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f4552]) ).
fof(f4554,plain,
( ~ sQ104_spl
| ~ sQ5_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4553,f126]) ).
fof(f4555,plain,
( ~ sQ104_spl
| ~ sQ5_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4554]) ).
fof(f4573,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f4477,f375,f353,f580]) ).
fof(f4578,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f318,f81]) ).
fof(f4583,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f227,f86]) ).
fof(f4588,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f318,f569]) ).
fof(f4595,plain,
( ~ sQ104_spl
| ~ sQ5_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f4552,f278,f226,f611]) ).
fof(f4596,plain,
( ~ sQ106_spl
| ~ sQ83_spl
| ~ sQ3_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f3651,f620]) ).
fof(f4597,plain,
( ~ sQ106_spl
| ~ sQ83_spl
| ~ sQ3_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f396,f4596]) ).
fof(f4598,plain,
( ~ sQ106_spl
| ~ sQ83_spl
| ~ sQ3_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4597,f130]) ).
fof(f4599,plain,
( ~ sQ106_spl
| ~ sQ83_spl
| ~ sQ3_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4598]) ).
fof(f4608,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f305,f602]) ).
fof(f4609,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4464,f265,f304]) ).
fof(f4613,plain,
( ~ sQ95_spl
| ~ sQ36_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3193,f265,f327,f572]) ).
fof(f4617,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f4588,f223,f317,f568]) ).
fof(f4624,plain,
( sQ95_spl
| ~ sQ39_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1386,f304,f336,f572]) ).
fof(f4625,plain,
( ~ sQ102_spl
| ~ sQ29_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f4608,f388,f304,f601]) ).
fof(f4626,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3783,f317,f213]) ).
fof(f4630,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4263,f411,f372]) ).
fof(f4631,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2460,f411,f359]) ).
fof(f4632,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2204,f288,f275]) ).
fof(f4634,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f4215,f349,f297]) ).
fof(f4635,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2039,f349,f323]) ).
fof(f4636,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2724,f304,f284,f593]) ).
fof(f4663,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f88]) ).
fof(f4830,plain,
( sQ76_spl
| ~ sQ60_spl
| ~ sQ75_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f3470,f4072]) ).
fof(f4836,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ7_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f4837,f311]) ).
fof(f4837,plain,
( ~ sQ104_spl
| ~ sQ7_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f233,f612]) ).
fof(f4838,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4836,f130]) ).
fof(f4839,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4838]) ).
fof(f4852,plain,
( sQ29_spl
| ~ sQ104_spl
| ~ sQ7_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f4837,f306]) ).
fof(f4853,plain,
( sQ29_spl
| ~ sQ104_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4852]) ).
fof(f4854,plain,
( sQ29_spl
| ~ sQ104_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4853]) ).
fof(f4898,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f217,f608]) ).
fof(f4899,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4898,f236,f216,f607]) ).
fof(f4905,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4273,f330,f317]) ).
fof(f4907,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4578,f265,f317]) ).
fof(f4922,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f402,f462]) ).
fof(f5081,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f334,f117]) ).
fof(f5115,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f308,f602]) ).
fof(f5116,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f396,f5115]) ).
fof(f5117,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5116,f130]) ).
fof(f5118,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f5117]) ).
fof(f5156,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f373,f454]) ).
fof(f5230,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ50_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f5156,f243]) ).
fof(f5231,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5230,f127]) ).
fof(f5232,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f5231]) ).
fof(f5247,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4583,f382,f226]) ).
fof(f5256,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3122,f291,f265]) ).
fof(f5263,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3988,f249,f375,f453]) ).
fof(f5288,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2896,f297,f271]) ).
fof(f5296,plain,
( ~ sQ66_spl
| ~ sQ54_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4429,f291,f385,f457]) ).
fof(f5301,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f805,f258,f414]) ).
fof(f5303,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2375,f408,f252]) ).
fof(f5306,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2623,f353,f314]) ).
fof(f5307,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2310,f395,f245,f216,f551]) ).
fof(f5308,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3669,f245,f288,f281,f486]) ).
fof(f5309,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f5156,f236,f372,f453]) ).
fof(f5310,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2690,f333,f229]) ).
fof(f5311,plain,
( ~ sQ67_spl
| ~ sQ59_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4922,f359,f401,f461]) ).
fof(f5314,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5081,f346,f333]) ).
fof(f5316,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4663,f379,f275]) ).
fof(f5317,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2053,f398,f294]) ).
fof(f5319,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4330,f379,f392]) ).
fof(f5322,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4087,f333,f320]) ).
fof(f5327,plain,
( sQ76_spl
| ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4830,f317,f490,f405,f493]) ).
fof(f5534,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f272,f590]) ).
fof(f5543,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f598]) ).
fof(f5544,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f5543]) ).
fof(f5545,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5544,f129]) ).
fof(f5546,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f5545]) ).
fof(f5561,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f5543,f320,f288,f597]) ).
fof(f5577,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f5534,f249,f271,f589]) ).
fof(f5601,plain,
( sQ90_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f217,f548]) ).
fof(f5782,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ82_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f3246,f3556]) ).
fof(f5789,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f399,f462]) ).
fof(f5790,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f5789]) ).
fof(f5791,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5790,f129]) ).
fof(f5792,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5791]) ).
fof(f5795,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5601,f239,f216,f546]) ).
fof(f5798,plain,
( ~ sQ67_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f5789,f346,f398,f461]) ).
fof(f5958,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ71_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f3497,f4070]) ).
fof(f5959,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ71_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f269,f5958]) ).
fof(f5960,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ71_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5959]) ).
fof(f5961,plain,
( sQ72_spl
| ~ sQ60_spl
| ~ sQ71_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5960]) ).
fof(f5975,plain,
( ~ sQ102_spl
| ~ sQ30_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f5115,f401,f307,f601]) ).
fof(f6080,plain,
( ~ sQ7_spl
| ~ sQ99_spl
| ~ sQ17_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f6081,f233]) ).
fof(f6081,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f590]) ).
fof(f6082,plain,
( ~ sQ7_spl
| ~ sQ99_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6080,f128]) ).
fof(f6083,plain,
( ~ sQ7_spl
| ~ sQ99_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6082]) ).
fof(f6095,plain,
( sQ72_spl
| ~ sQ61_spl
| ~ sQ82_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5782,f229,f515,f408,f479]) ).
fof(f6123,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f237,f616]) ).
fof(f6124,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f315,f6123]) ).
fof(f6125,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6124,f127]) ).
fof(f6126,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f6125]) ).
fof(f6281,plain,
( sQ83_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f214,f521]) ).
fof(f6295,plain,
( ~ sQ47_spl
| ~ sQ101_spl
| ~ sQ27_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f6296,f363]) ).
fof(f6296,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f298,f598]) ).
fof(f6297,plain,
( ~ sQ47_spl
| ~ sQ101_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6295,f131]) ).
fof(f6298,plain,
( ~ sQ47_spl
| ~ sQ101_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6297]) ).
fof(f6322,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f6296,f101]) ).
fof(f6338,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6081,f223,f265,f589]) ).
fof(f6354,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f6322,f411,f297,f597]) ).
fof(f6355,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6281,f229,f213,f519]) ).
fof(f6610,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ49_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f6611,f227]) ).
fof(f6611,plain,
( ~ sQ65_spl
| ~ sQ49_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f370,f454]) ).
fof(f6612,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6610,f126]) ).
fof(f6613,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f6612]) ).
fof(f6650,plain,
( sQ92_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f285,f557]) ).
fof(f6651,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f308,f6650]) ).
fof(f6652,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f6651]) ).
fof(f6656,plain,
( ~ sQ6_spl
| ~ sQ103_spl
| ~ sQ1_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f6657,f230]) ).
fof(f6657,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f214,f608]) ).
fof(f6658,plain,
( ~ sQ6_spl
| ~ sQ103_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6656,f127]) ).
fof(f6659,plain,
( ~ sQ6_spl
| ~ sQ103_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6658]) ).
fof(f6673,plain,
( ~ sQ65_spl
| ~ sQ49_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6611,f223,f369,f453]) ).
fof(f6684,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4390,f252,f353,f349,f507]) ).
fof(f6692,plain,
( sQ92_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6652,f353,f307,f284,f555]) ).
fof(f6701,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2508,f307,f252,f219,f533]) ).
fof(f6712,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2908,f353,f349,f511]) ).
fof(f6713,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3169,f232,f327,f343,f472]) ).
fof(f6714,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3944,f385,f232,f213,f533]) ).
fof(f6978,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f256,f620]) ).
fof(f6979,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f399,f6978]) ).
fof(f6980,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6979,f131]) ).
fof(f6981,plain,
( ~ sQ106_spl
| ~ sQ14_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f6980]) ).
fof(f7219,plain,
( ~ sQ97_spl
| ~ sQ45_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f357,f581]) ).
fof(f7220,plain,
( ~ sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f383,f7219]) ).
fof(f7221,plain,
( ~ sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7220,f130]) ).
fof(f7222,plain,
( ~ sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f7221]) ).
fof(f7223,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,f475,f482,f496,f503,f514,f518,f525,f536,f544,f549,f554,f558,f559,f560,f561,f562,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,f687,f690,f694,f697,f700,f703,f709,f713,f717,f720,f732,f736,f739,f743,f756,f764,f770,f774,f776,f782,f786,f795,f796,f799,f820,f825,f827,f840,f843,f854,f859,f871,f880,f884,f894,f895,f899,f904,f905,f908,f909,f910,f911,f912,f921,f924,f931,f934,f938,f939,f940,f941,f958,f976,f995,f999,f1002,f1035,f1095,f1106,f1112,f1115,f1116,f1117,f1118,f1119,f1120,f1124,f1133,f1134,f1135,f1147,f1148,f1149,f1162,f1163,f1165,f1169,f1183,f1186,f1192,f1207,f1208,f1212,f1216,f1217,f1227,f1228,f1229,f1265,f1269,f1276,f1277,f1279,f1280,f1281,f1284,f1285,f1286,f1290,f1293,f1294,f1295,f1299,f1300,f1302,f1303,f1304,f1307,f1308,f1351,f1380,f1385,f1398,f1407,f1408,f1411,f1413,f1414,f1415,f1416,f1438,f1439,f1441,f1442,f1443,f1444,f1489,f1493,f1504,f1513,f1517,f1526,f1557,f1561,f1562,f1564,f1667,f1674,f1675,f1683,f1693,f1694,f1697,f1699,f1700,f1849,f1850,f1854,f1856,f1861,f1868,f1869,f1870,f1872,f1873,f1875,f1876,f1877,f1879,f1880,f1881,f1882,f1883,f1884,f1885,f1886,f1887,f1888,f1890,f1933,f1944,f1963,f2104,f2107,f2110,f2114,f2115,f2121,f2170,f2175,f2211,f2239,f2245,f2246,f2309,f2373,f2488,f2489,f2492,f2499,f2503,f2509,f2512,f2703,f2712,f2713,f2760,f2771,f2772,f2773,f2776,f2915,f2922,f2937,f2972,f2983,f2987,f2988,f3166,f3201,f3209,f3215,f3216,f3230,f3238,f3239,f3242,f3245,f3455,f3489,f3491,f3501,f3505,f3506,f3667,f3692,f3701,f3721,f3725,f3949,f3962,f3982,f4042,f4054,f4078,f4095,f4096,f4097,f4098,f4099,f4101,f4102,f4105,f4106,f4108,f4109,f4113,f4115,f4117,f4300,f4307,f4431,f4549,f4555,f4573,f4595,f4599,f4609,f4613,f4617,f4624,f4625,f4626,f4630,f4631,f4632,f4634,f4635,f4636,f4839,f4854,f4899,f4905,f4907,f5118,f5232,f5247,f5256,f5263,f5288,f5296,f5301,f5303,f5306,f5307,f5308,f5309,f5310,f5311,f5314,f5316,f5317,f5319,f5322,f5327,f5546,f5561,f5577,f5792,f5795,f5798,f5961,f5975,f6083,f6095,f6126,f6298,f6338,f6354,f6355,f6613,f6659,f6673,f6684,f6692,f6701,f6712,f6713,f6714,f6981,f7222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG132+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:59:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.54 % Refutation found
% 0.10/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.57 % Elapsed time: 0.187710 seconds
% 0.10/0.57 % CPU time: 1.222363 seconds
% 0.10/0.57 % Total memory used: 25.869 MB
% 0.10/0.57 % Net memory used: 25.429 MB
%------------------------------------------------------------------------------