%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:35 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 106
% Syntax : Number of formulae : 870 ( 54 unt; 94 def)
% Number of atoms : 2517 (1078 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2945 (1298 ~;1359 |; 190 &)
% ( 98 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 96 ( 94 usr; 95 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/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(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(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(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,definition,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f135,definition,
( sP3_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f136,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP3_prd )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP1_prd )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f135,f134,f133,f132]) ).
fof(f137,plain,
( op(e3,e3) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
( op(e3,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
( op(e3,e3) = e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
( op(e3,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
( op(e3,e3) = e2
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f142,plain,
( op(e3,e2) != e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f143,plain,
( op(e3,e3) = e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f144,plain,
( op(e3,e3) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f151,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f152,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f154,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f157,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f158,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f160,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f173,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f174,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f179,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f187,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f193,definition,
( sP4_prd
<=> ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f194,plain,
( sP0_prd
<=> ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f193]) ).
fof(f195,plain,
( ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ~ sP4_prd )
| sP0_prd )
& ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP4_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e2,e2) = e0
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( op(e2,e0) != e2
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f200,definition,
( sP5_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f201,plain,
( sP1_prd
<=> ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f200]) ).
fof(f202,plain,
( ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ~ sP5_prd )
| sP1_prd )
& ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e2,e2) = e1
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( op(e2,e1) != e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f205,plain,
( ~ sP5_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f206,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f207,definition,
( sP6_prd
<=> ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f208,plain,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f134,f207]) ).
fof(f209,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e2,e2) = e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( op(e2,e2) != e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,definition,
( sP7_prd
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f215,plain,
( sP3_prd
<=> ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f135,f214]) ).
fof(f216,plain,
( ( ( ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ~ sP7_prd )
| sP3_prd )
& ( ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e2,e2) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e2,e3) != e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| sP4_prd )
& ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f222,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e1,e0) != e1
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e1,e1) = e0
| op(e0,e0) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e1,e0) != e1
| op(e0,e0) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| sP5_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f229,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e1,e1) != e1
| op(e0,e0) = e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e1,e1) = e1
| op(e0,e1) != e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
( op(e1,e1) != e1
| op(e0,e1) != e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f233,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f235,plain,
( ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| sP6_prd )
& ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f236,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( op(e1,e2) != e1
| op(e0,e0) = e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f238,plain,
( op(e1,e1) = e2
| op(e0,e2) != e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f239,plain,
( op(e1,e2) != e1
| op(e0,e2) != e0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f240,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f241,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f242,plain,
( ( ( ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| sP7_prd )
& ( ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op(e1,e3) != e1
| op(e0,e0) = e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op(e1,e1) = e3
| op(e0,e3) != e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f247,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f248,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f249,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f301,f304,f307,f310]) ).
fof(f314,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f340,f343,f346,f349]) ).
fof(f353,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f366,f369,f372,f375]) ).
fof(f379,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f418,f421,f424,f427]) ).
fof(f431,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f431,f434,f437,f440]) ).
fof(f444,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f444,f447,f450,f453]) ).
fof(f457,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f249,f262,f275,f288]) ).
fof(f458,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f249,f301,f353,f405]) ).
fof(f459,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f252,f265,f278,f291]) ).
fof(f460,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f252,f304,f356,f408]) ).
fof(f461,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f255,f268,f281,f294]) ).
fof(f462,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f255,f307,f359,f411]) ).
fof(f463,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f258,f271,f284,f297]) ).
fof(f464,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f258,f310,f362,f414]) ).
fof(f465,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f301,f314,f327,f340]) ).
fof(f467,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f304,f317,f330,f343]) ).
fof(f468,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f265,f317,f369,f421]) ).
fof(f469,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f307,f320,f333,f346]) ).
fof(f470,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f268,f320,f372,f424]) ).
fof(f471,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f310,f323,f336,f349]) ).
fof(f472,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f271,f323,f375,f427]) ).
fof(f473,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f353,f366,f379,f392]) ).
fof(f474,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f275,f327,f379,f431]) ).
fof(f475,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f356,f369,f382,f395]) ).
fof(f476,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f278,f330,f382,f434]) ).
fof(f477,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f359,f372,f385,f398]) ).
fof(f478,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f281,f333,f385,f437]) ).
fof(f479,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f362,f375,f388,f401]) ).
fof(f480,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f284,f336,f388,f440]) ).
fof(f481,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f405,f418,f431,f444]) ).
fof(f482,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f288,f340,f392,f444]) ).
fof(f483,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f408,f421,f434,f447]) ).
fof(f484,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f291,f343,f395,f447]) ).
fof(f485,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f411,f424,f437,f450]) ).
fof(f486,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f294,f346,f398,f450]) ).
fof(f487,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f414,f427,f440,f453]) ).
fof(f488,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f297,f349,f401,f453]) ).
fof(f489,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ60_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f489,f444]) ).
fof(f493,plain,
( ~ sQ51_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f489,f414]) ).
fof(f494,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ61_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f494,f447]) ).
fof(f498,plain,
( ~ sQ55_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f494,f427]) ).
fof(f499,definition,
( sQ66_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ62_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f141,f499,f450]) ).
fof(f503,plain,
( ~ sQ59_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f142,f499,f440]) ).
fof(f504,definition,
( sQ67_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f143,f504,f453]) ).
fof(f508,plain,
( ~ sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f144,f504,f453]) ).
fof(f512,definition,
( sQ69_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ69_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f516,definition,
( sQ70_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ70_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f527,definition,
( sQ73_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( sQ73_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ74_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ74_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ23_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f152,f527,f530,f323]) ).
fof(f534,definition,
( sQ75_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ75_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ41_spl
| ~ sQ75_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f154,f516,f534,f382]) ).
fof(f542,definition,
( sQ77_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ77_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ78_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ62_spl
| ~ sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f158,f542,f545,f450]) ).
fof(f549,definition,
( sQ79_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ79_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ80_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ80_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( ~ sQ43_spl
| ~ sQ80_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f160,f549,f552,f388]) ).
fof(f565,definition,
( sQ83_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( sQ83_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f569,definition,
( sQ84_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ84_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f580,plain,
( ~ sQ60_spl
| ~ sQ69_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f174,f569,f512,f444]) ).
fof(f581,definition,
( sQ87_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ87_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ88_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( sQ88_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f589,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f180,f581,f565,f252]) ).
fof(f599,definition,
( sQ91_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ91_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f188,f599,f584,f255]) ).
fof(f605,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ40_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f489,f605,f379]) ).
fof(f609,plain,
( ~ sQ34_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f489,f605,f359]) ).
fof(f612,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ41_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f203,f494,f612,f382]) ).
fof(f616,plain,
( ~ sQ38_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f204,f494,f612,f372]) ).
fof(f617,plain,
( ~ sQ93_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f205,f494,f612]) ).
fof(f618,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f206,f494,f382,f372]) ).
fof(f619,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f210,f499,f619,f385]) ).
fof(f623,plain,
( ~ sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f211,f499,f619,f385]) ).
fof(f624,plain,
( ~ sQ94_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f212,f499,f619]) ).
fof(f626,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ43_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f217,f504,f626,f388]) ).
fof(f630,plain,
( ~ sQ46_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f218,f504,f626,f398]) ).
fof(f631,plain,
( ~ sQ95_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f219,f504,f626]) ).
fof(f633,plain,
( sQ20_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f222,f605,f249,f314]) ).
fof(f634,plain,
( ~ sQ17_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f223,f605,f249,f304]) ).
fof(f635,plain,
( sQ20_spl
| ~ sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f224,f605,f249,f314]) ).
fof(f636,plain,
( ~ sQ17_spl
| ~ sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f225,f605,f249,f304]) ).
fof(f639,plain,
( sQ21_spl
| sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f229,f612,f252,f317]) ).
fof(f640,plain,
( ~ sQ21_spl
| sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f230,f612,f252,f317]) ).
fof(f641,plain,
( sQ21_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f231,f612,f262,f317]) ).
fof(f642,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f232,f612,f262,f317]) ).
fof(f643,plain,
( sQ4_spl
| ~ sQ1_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f233,f612,f252,f262]) ).
fof(f645,plain,
( sQ22_spl
| sQ2_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f236,f619,f255,f320]) ).
fof(f646,plain,
( ~ sQ25_spl
| sQ2_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f237,f619,f255,f330]) ).
fof(f647,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f238,f619,f275,f320]) ).
fof(f648,plain,
( ~ sQ25_spl
| ~ sQ8_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f239,f619,f275,f330]) ).
fof(f649,plain,
( sQ8_spl
| ~ sQ2_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f240,f619,f255,f275]) ).
fof(f650,plain,
( sQ25_spl
| ~ sQ22_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f241,f619,f320,f330]) ).
fof(f651,plain,
( sQ23_spl
| sQ3_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f243,f626,f258,f323]) ).
fof(f652,plain,
( ~ sQ29_spl
| sQ3_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f244,f626,f258,f343]) ).
fof(f653,plain,
( sQ23_spl
| ~ sQ12_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f245,f626,f288,f323]) ).
fof(f655,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f247,f626,f258,f288]) ).
fof(f656,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f248,f626,f323,f343]) ).
fof(f657,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f347]) ).
fof(f658,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f131]) ).
fof(f659,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f298,f295]) ).
fof(f661,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f131]) ).
fof(f662,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f663,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f83]) ).
fof(f664,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f82]) ).
fof(f665,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f412,f80]) ).
fof(f666,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f402,f396]) ).
fof(f667,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f130]) ).
fof(f668,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f367,f85]) ).
fof(f670,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f438,f435]) ).
fof(f671,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f129]) ).
fof(f672,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f425,f422]) ).
fof(f674,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f129]) ).
fof(f675,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f412,f409]) ).
fof(f677,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f129]) ).
fof(f678,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f679,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f367,f373]) ).
fof(f680,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f127]) ).
fof(f681,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f419,f86]) ).
fof(f683,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f419,f88]) ).
fof(f684,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f376,f87]) ).
fof(f687,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f81]) ).
fof(f688,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f79]) ).
fof(f689,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f337,f334]) ).
fof(f690,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f131]) ).
fof(f691,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f285,f282]) ).
fof(f693,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f131]) ).
fof(f694,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f432,f441]) ).
fof(f696,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f128]) ).
fof(f697,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f279,f90]) ).
fof(f699,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f376,f370]) ).
fof(f700,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f130]) ).
fof(f701,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f419,f89]) ).
fof(f703,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f363,f357]) ).
fof(f704,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f130]) ).
fof(f705,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f393,f402]) ).
fof(f707,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f128]) ).
fof(f708,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f279,f91]) ).
fof(f710,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f272,f84]) ).
fof(f711,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f279,f92]) ).
fof(f712,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f78]) ).
fof(f713,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f272,f269]) ).
fof(f714,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f131]) ).
fof(f715,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f341,f344]) ).
fof(f717,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f126]) ).
fof(f718,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f292,f289]) ).
fof(f720,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f126]) ).
fof(f721,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f354,f360]) ).
fof(f723,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f722,f127]) ).
fof(f724,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f328,f93]) ).
fof(f727,plain,
( ~ sQ24_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f328,f94]) ).
fof(f728,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f311,f308]) ).
fof(f729,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f131]) ).
fof(f730,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f386,f95]) ).
fof(f735,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f259]) ).
fof(f736,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f128]) ).
fof(f737,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f279,f276]) ).
fof(f740,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f126]) ).
fof(f741,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f321]) ).
fof(f743,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f129]) ).
fof(f744,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f328,f331]) ).
fof(f746,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f126]) ).
fof(f747,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f386,f91]) ).
fof(f760,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f263]) ).
fof(f761,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f126]) ).
fof(f762,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f386,f93]) ).
fof(f764,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f302,f305]) ).
fof(f765,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f126]) ).
fof(f766,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f98]) ).
fof(f769,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f100]) ).
fof(f771,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f454,f101]) ).
fof(f772,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f454,f448]) ).
fof(f773,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f130]) ).
fof(f774,plain,
( ~ sQ61_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f779,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f731,f437,f385]) ).
fof(f780,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f688,f258,f362]) ).
fof(f781,plain,
( ~ sQ4_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f682]) ).
fof(f782,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f684,f323,f375]) ).
fof(f784,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f415]) ).
fof(f785,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f128]) ).
fof(f786,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ sQ44_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f393,f99]) ).
fof(f789,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f393,f97]) ).
fof(f791,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f298,f106]) ).
fof(f792,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f298,f104]) ).
fof(f793,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f298,f96]) ).
fof(f794,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f791,f271,f297]) ).
fof(f795,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f393,f396]) ).
fof(f796,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f126]) ).
fof(f797,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f702,f366,f418]) ).
fof(f799,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f763,f333,f385]) ).
fof(f800,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f665,f255,f411]) ).
fof(f801,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f727,f431,f327]) ).
fof(f805,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f269,f102]) ).
fof(f808,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f318,f108]) ).
fof(f810,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f445,f451]) ).
fof(f811,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f127]) ).
fof(f812,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f318,f315]) ).
fof(f814,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f126]) ).
fof(f815,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f269,f266]) ).
fof(f817,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f816,f129]) ).
fof(f818,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f389,f380]) ).
fof(f820,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f128]) ).
fof(f821,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f788,f340,f392]) ).
fof(f823,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f302,f110]) ).
fof(f825,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f302,f109]) ).
fof(f829,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f373,f118]) ).
fof(f830,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f373,f117]) ).
fof(f832,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f829,f398,f372]) ).
fof(f833,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f373,f370]) ).
fof(f834,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f129]) ).
fof(f835,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f448,f445]) ).
fof(f837,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f126]) ).
fof(f838,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f748,f281,f385]) ).
fof(f841,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f712,f258,f310]) ).
fof(f842,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f792,f258,f297]) ).
fof(f845,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f425,f123]) ).
fof(f846,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f425,f120]) ).
fof(f847,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f845,f437,f424]) ).
fof(f848,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f664,f307,f411]) ).
fof(f849,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f266,f272]) ).
fof(f850,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f130]) ).
fof(f851,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f253,f103]) ).
fof(f855,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f428,f124]) ).
fof(f856,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f253,f583]) ).
fof(f860,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f253,f259]) ).
fof(f861,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f130]) ).
fof(f862,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f253,f250]) ).
fof(f865,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f126]) ).
fof(f866,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f865]) ).
fof(f867,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f253,f256]) ).
fof(f868,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f129]) ).
fof(f869,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f321,f315]) ).
fof(f872,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f127]) ).
fof(f873,plain,
( ~ sQ20_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f698,f330,f278]) ).
fof(f878,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f334,f113]) ).
fof(f879,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f878,f346,f333]) ).
fof(f884,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f357,f115]) ).
fof(f885,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f250,f80]) ).
fof(f891,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f415,f121]) ).
fof(f892,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f357,f81]) ).
fof(f895,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f432,f125]) ).
fof(f898,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f79]) ).
fof(f902,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f334,f331]) ).
fof(f903,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f129]) ).
fof(f904,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f905,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f710,f323,f271]) ).
fof(f906,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f830,f385,f372]) ).
fof(f908,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f415,f83]) ).
fof(f909,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f415,f409]) ).
fof(f910,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f130]) ).
fof(f911,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f910]) ).
fof(f914,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f884,f382,f356]) ).
fof(f916,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f856,f268,f252,f581]) ).
fof(f917,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f898,f353,f249]) ).
fof(f918,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f885,f405,f249]) ).
fof(f919,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f823,f340,f301]) ).
fof(f920,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f683,f314,f418]) ).
fof(f922,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f769,f349,f453]) ).
fof(f923,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f285,f90]) ).
fof(f924,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f285,f92]) ).
fof(f925,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f923,f336,f284]) ).
fof(f926,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f825,f327,f301]) ).
fof(f927,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f663,f359,f411]) ).
fof(f929,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f276,f91]) ).
fof(f930,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f929,f379,f275]) ).
fof(f932,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f276,f285]) ).
fof(f933,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f128]) ).
fof(f934,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f808,f304,f317]) ).
fof(f937,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f308,f78]) ).
fof(f945,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f422,f86]) ).
fof(f947,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f422,f89]) ).
fof(f951,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f99]) ).
fof(f953,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f98]) ).
fof(f954,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f101]) ).
fof(f956,plain,
( sQ77_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f451,f544]) ).
fof(f958,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f373,f87]) ).
fof(f959,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f373,f85]) ).
fof(f965,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f119]) ).
fof(f967,plain,
( ~ sQ31_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f350,f112]) ).
fof(f969,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f253,f104]) ).
fof(f972,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f422,f428]) ).
fof(f973,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f130]) ).
fof(f974,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f975,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f954,f398,f450]) ).
fof(f976,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f956,f434,f450,f542]) ).
fof(f978,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f354,f357]) ).
fof(f979,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f978,f126]) ).
fof(f980,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f981,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f892,f304,f356]) ).
fof(f982,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f451,f100]) ).
fof(f983,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f984,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f129]) ).
fof(f985,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f945,f265,f421]) ).
fof(f987,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f967,f323,f349]) ).
fof(f988,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f937,f255,f307]) ).
fof(f989,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f924,f440,f284]) ).
fof(f990,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f982,f346,f450]) ).
fof(f991,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f767,f297,f453]) ).
fof(f992,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f846,f411,f424]) ).
fof(f993,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f908,f362,f414]) ).
fof(f994,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f969,f291,f252]) ).
fof(f995,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f711,f434,f278]) ).
fof(f996,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f958,f320,f372]) ).
fof(f997,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f953,f294,f450]) ).
fof(f998,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f855,f453,f427]) ).
fof(f999,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f687,f310,f362]) ).
fof(f1000,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f891,f440,f414]) ).
fof(f1001,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f726,f379,f327]) ).
fof(f1002,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f965,f382,f395]) ).
fof(f1007,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f305,f110]) ).
fof(f1010,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f118]) ).
fof(f1017,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f259,f102]) ).
fof(f1018,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f415,f120]) ).
fof(f1021,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f259,f103]) ).
fof(f1024,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f380,f95]) ).
fof(f1028,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1024,f431,f379]) ).
fof(f1030,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f295,f289]) ).
fof(f1031,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f127]) ).
fof(f1032,plain,
( ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1031]) ).
fof(f1033,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1010,f369,f395]) ).
fof(f1035,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f947,f369,f421]) ).
fof(f1039,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f324,f111]) ).
fof(f1041,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1039,f336,f323]) ).
fof(f1042,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f951,f401,f349]) ).
fof(f1044,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f771,f401,f453]) ).
fof(f1045,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f805,f255,f268]) ).
fof(f1048,plain,
( ~ sQ13_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f292,f107]) ).
fof(f1051,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f422,f124]) ).
fof(f1052,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f422,f123]) ).
fof(f1062,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f409,f82]) ).
fof(f1080,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f269,f105]) ).
fof(f1083,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f454,f451]) ).
fof(f1084,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f131]) ).
fof(f1085,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f383,f380]) ).
fof(f1087,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f126]) ).
fof(f1088,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1087]) ).
fof(f1089,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1052,f434,f421]) ).
fof(f1091,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1021,f284,f258]) ).
fof(f1092,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f669,f262,f366]) ).
fof(f1093,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f789,f288,f392]) ).
fof(f1102,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f347,f99]) ).
fof(f1107,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f389,f119]) ).
fof(f1109,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f393,f101]) ).
fof(f1113,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f117]) ).
fof(f1115,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f389,f95]) ).
fof(f1116,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f93]) ).
fof(f1123,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f266,f85]) ).
fof(f1124,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1123,f369,f265]) ).
fof(f1128,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f959,f268,f372]) ).
fof(f1129,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f389,f383]) ).
fof(f1130,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f130]) ).
fof(f1131,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1133,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f324,f318]) ).
fof(f1134,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f130]) ).
fof(f1135,plain,
( ~ sQ21_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1134]) ).
fof(f1143,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f256,f103]) ).
fof(f1144,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1143,f281,f255]) ).
fof(f1145,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1113,f375,f388]) ).
fof(f1146,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1007,f343,f304]) ).
fof(f1147,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1062,f304,f408]) ).
fof(f1156,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f386,f383]) ).
fof(f1157,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1156,f129]) ).
fof(f1158,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1166,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f266,f106]) ).
fof(f1169,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f256,f79]) ).
fof(f1174,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f256,f250]) ).
fof(f1175,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f127]) ).
fof(f1176,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1182,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f324,f315]) ).
fof(f1183,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1182,f128]) ).
fof(f1184,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1048,f278,f291]) ).
fof(f1186,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1080,f281,f268]) ).
fof(f1188,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f895,f444,f431]) ).
fof(f1191,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f115]) ).
fof(f1220,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f373,f114]) ).
fof(f1261,plain,
( sQ88_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f256,f586]) ).
fof(f1262,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f357,f1261]) ).
fof(f1263,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1262]) ).
fof(f1264,plain,
( sQ88_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( sQ91_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f256,f601]) ).
fof(f1267,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f285,f1266]) ).
fof(f1268,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1267]) ).
fof(f1269,plain,
( sQ91_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1273,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f256,f259]) ).
fof(f1274,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f131]) ).
fof(f1275,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1107,f401,f388]) ).
fof(f1277,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1116,f336,f388]) ).
fof(f1278,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1166,f291,f265]) ).
fof(f1279,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f852,f278,f252]) ).
fof(f1280,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1115,f440,f388]) ).
fof(f1283,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f367,f87]) ).
fof(f1284,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1283,f314,f366]) ).
fof(f1285,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1191,f353,f379]) ).
fof(f1286,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1051,f447,f421]) ).
fof(f1287,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f412]) ).
fof(f1288,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f127]) ).
fof(f1289,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1297,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f113]) ).
fof(f1312,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f334,f111]) ).
fof(f1313,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1312,f320,f333]) ).
fof(f1322,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f305,f308]) ).
fof(f1323,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f129]) ).
fof(f1324,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1325,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1109,f444,f392]) ).
fof(f1329,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f324,f88]) ).
fof(f1332,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f406,f122]) ).
fof(f1363,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f370,f117]) ).
fof(f1369,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f363,f115]) ).
fof(f1418,plain,
( sQ73_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f324,f529]) ).
fof(f1429,plain,
( ~ sQ28_spl
| sQ73_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f1418]) ).
fof(f1430,plain,
( ~ sQ28_spl
| sQ73_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( sQ74_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f324,f532]) ).
fof(f1432,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f425,f1431]) ).
fof(f1433,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1432]) ).
fof(f1434,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1439,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f425,f88]) ).
fof(f1441,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1169,f359,f255]) ).
fof(f1445,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f263,f272]) ).
fof(f1446,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1445,f128]) ).
fof(f1447,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1329,f427,f323]) ).
fof(f1452,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1332,f444,f405]) ).
fof(f1453,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1369,f388,f362]) ).
fof(f1455,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f425,f428]) ).
fof(f1456,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1455,f131]) ).
fof(f1457,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1458,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1297,f327,f340]) ).
fof(f1459,plain,
( ~ sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1017,f271,f258]) ).
fof(f1460,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1363,f382,f369]) ).
fof(f1461,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1018,f427,f414]) ).
fof(f1462,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f793,f349,f297]) ).
fof(f1464,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1439,f320,f424]) ).
fof(f1465,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f709,f382,f278]) ).
fof(f1482,plain,
( sQ80_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f554]) ).
fof(f1487,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1482,f431,f388,f552]) ).
fof(f1489,plain,
( sQ79_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f389,f551]) ).
fof(f1563,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f396,f1489]) ).
fof(f1564,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1563]) ).
fof(f1565,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1576,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f253,f567]) ).
fof(f1591,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f253,f102]) ).
fof(f1618,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f269,f84]) ).
fof(f1663,plain,
( ~ sQ19_spl
| sQ83_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f1576]) ).
fof(f1664,plain,
( ~ sQ19_spl
| sQ83_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1669,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f276,f105]) ).
fof(f1670,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1591,f265,f252]) ).
fof(f1672,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1220,f359,f372]) ).
fof(f1679,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f360,f357]) ).
fof(f1680,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f129]) ).
fof(f1681,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1618,f320,f268]) ).
fof(f1683,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1102,f398,f346]) ).
fof(f1711,plain,
( sQ69_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f445,f514]) ).
fof(f1717,plain,
( sQ75_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f383,f536]) ).
fof(f1743,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f344,f96]) ).
fof(f1746,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f276,f90]) ).
fof(f1751,plain,
( ~ sQ27_spl
| sQ75_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f1717]) ).
fof(f1752,plain,
( ~ sQ27_spl
| sQ75_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1751]) ).
fof(f1754,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1746,f327,f275]) ).
fof(f1755,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f344,f350]) ).
fof(f1756,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1755,f130]) ).
fof(f1757,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1756]) ).
fof(f1760,plain,
( sQ70_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f383,f518]) ).
fof(f1761,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f367,f1760]) ).
fof(f1762,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1761]) ).
fof(f1763,plain,
( sQ70_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1764,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1669,f262,f275]) ).
fof(f1765,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f445,f454]) ).
fof(f1766,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1765,f128]) ).
fof(f1767,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1766]) ).
fof(f1772,plain,
( ~ sQ13_spl
| sQ69_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f1711]) ).
fof(f1773,plain,
( ~ sQ13_spl
| sQ69_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1778,plain,
( sQ84_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f445,f571]) ).
fof(f1853,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f412,f1778]) ).
fof(f1854,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1853]) ).
fof(f1855,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1860,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1743,f291,f343]) ).
fof(f1861,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f328,f337]) ).
fof(f1862,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1861,f128]) ).
fof(f1863,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1864,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f399,f402]) ).
fof(f1865,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1864,f131]) ).
fof(f1866,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1865]) ).
fof(f1867,plain,
$false,
inference(sat_refutation,[status(thm)],[f261,f274,f287,f300,f313,f326,f339,f352,f365,f378,f391,f404,f417,f430,f443,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f485,f486,f487,f488,f492,f493,f497,f498,f502,f503,f507,f508,f533,f537,f548,f555,f580,f589,f602,f608,f609,f615,f616,f617,f618,f622,f623,f624,f629,f630,f631,f633,f634,f635,f636,f639,f640,f641,f642,f643,f645,f646,f647,f648,f649,f650,f651,f652,f653,f655,f656,f659,f662,f668,f672,f675,f678,f681,f691,f694,f697,f701,f705,f708,f715,f718,f721,f724,f730,f737,f741,f744,f747,f762,f766,f774,f779,f780,f782,f783,f786,f794,f797,f798,f799,f800,f801,f812,f815,f818,f821,f822,f832,f835,f838,f840,f841,f842,f847,f848,f851,f862,f866,f869,f873,f874,f879,f904,f905,f906,f911,f914,f916,f917,f918,f919,f920,f922,f925,f926,f927,f930,f934,f935,f974,f975,f976,f980,f981,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1028,f1032,f1033,f1035,f1041,f1042,f1044,f1045,f1085,f1088,f1089,f1091,f1092,f1093,f1124,f1128,f1131,f1135,f1144,f1145,f1146,f1147,f1158,f1176,f1184,f1185,f1186,f1188,f1264,f1269,f1275,f1276,f1277,f1278,f1279,f1280,f1284,f1285,f1286,f1289,f1313,f1324,f1325,f1430,f1434,f1441,f1447,f1449,f1452,f1453,f1457,f1458,f1459,f1460,f1461,f1462,f1464,f1465,f1487,f1565,f1664,f1670,f1672,f1681,f1682,f1683,f1752,f1754,f1757,f1763,f1764,f1767,f1773,f1855,f1860,f1863,f1866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:57:50 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.072219 seconds
% 0.13/0.43 % CPU time: 0.380450 seconds
% 0.13/0.43 % Total memory used: 16.553 MB
% 0.13/0.43 % Net memory used: 16.350 MB
%------------------------------------------------------------------------------