%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG146+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 : n018.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 11:48:37 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 137
% Syntax : Number of formulae : 1118 ( 53 unt; 116 def)
% Number of atoms : 3740 (1760 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4523 (1901 ~;1967 |; 525 &)
% ( 130 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 118 ( 116 usr; 117 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(e3,e3) = e3 )
| ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e2 = op(op(op(e3,e3),op(e3,e3)),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(op(op(e2,e2),op(e2,e2)),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(op(op(e3,e3),op(e3,e3)),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(op(op(e2,e2),op(e2,e2)),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(op(op(e2,e2),op(e2,e2)),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(op(op(e0,e0),op(e0,e0)),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(op(op(e2,e2),op(e2,e2)),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(op(op(e0,e0),op(e0,e0)),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(op(op(e3,e3),op(e3,e3)),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(op(op(e1,e1),op(e1,e1)),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e3 = op(op(op(e0,e0),op(e0,e0)),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(op(op(e1,e1),op(e1,e1)),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(op(op(e2,e2),op(e2,e2)),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(op(op(e2,e2),op(e2,e2)),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(op(op(e1,e1),op(e1,e1)),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(op(op(e0,e0),op(e0,e0)),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = 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(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
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,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| sP0_prd )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f139,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f149,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f151,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f153,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f154,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f155,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f157,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f159,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f162,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f163,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f168,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f169,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f172,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f173,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f175,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f177,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f179,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f181,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f184,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f185,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f187,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f190,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f191,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f194,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f195,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f199,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f201,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,definition,
( sP1_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f203,plain,
( sP0_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f202]) ).
fof(f204,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e3) != e3
| op(e3,e2) != e3 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( op(e3,e2) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e2,e3) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f207,plain,
( op(e2,e2) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f208,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f210,definition,
( sP2_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f211,plain,
( sP1_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f210]) ).
fof(f212,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e3) != e3
| op(e3,e1) != e3 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( op(e3,e1) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
( op(e1,e3) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f215,plain,
( op(e1,e1) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f216,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f218,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f219,plain,
( sP2_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f218]) ).
fof(f220,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e3) != e3
| op(e3,e0) != e3 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e0) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( op(e0,e3) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f223,plain,
( op(e0,e0) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f224,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f226,definition,
( sP4_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f227,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f218,f226]) ).
fof(f228,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) != e2
| op(e2,e3) != e2 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e2,e3) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e3,e2) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e3,e3) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f234,definition,
( sP5_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f235,plain,
( sP4_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f226,f234]) ).
fof(f236,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f239,plain,
( op(e2,e2) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f240,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f242,definition,
( sP6_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f243,plain,
( sP5_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f234,f242]) ).
fof(f244,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e2) != e2
| op(e2,e1) != e2 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( op(e2,e1) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( op(e1,e2) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
( op(e1,e1) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f251,plain,
( sP6_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f242,f250]) ).
fof(f252,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( op(e2,e0) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( op(e0,e2) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( op(e0,e0) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
( op(e0,e0) = e0
| op(e0,e2) != e2
| op(e2,e0) != e2
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,definition,
( sP8_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f259,plain,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f250,f258]) ).
fof(f260,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e1) != e1
| op(e1,e3) != e1 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e1,e3) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e3,e1) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( op(e3,e3) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f265,plain,
( op(e3,e3) = e3
| op(e3,e1) != e1
| op(e1,e3) != e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,definition,
( sP9_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f267,plain,
( sP8_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f266]) ).
fof(f268,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e1) != e1
| op(e1,e2) != e1 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( op(e1,e2) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( op(e2,e1) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f271,plain,
( op(e2,e2) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f272,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f273,plain,
( op(e2,e2) = e2
| op(e2,e1) != e1
| op(e1,e2) != e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f274,definition,
( sP10_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f275,plain,
( sP9_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f266,f274]) ).
fof(f276,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1
| op(e1,e1) != e1 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
( op(e1,e1) = e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f279,plain,
( op(e1,e1) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f280,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f282,definition,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f283,plain,
( sP10_prd
<=> ( ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f274,f282]) ).
fof(f284,plain,
( ( ( ( op(e0,e0) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f283]) ).
fof(f285,plain,
( op(e1,e0) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( op(e0,e1) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( op(e0,e0) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f289,plain,
( op(e0,e0) = e0
| op(e0,e1) != e1
| op(e1,e0) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f290,definition,
( sP12_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f291,plain,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f282,f290]) ).
fof(f292,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e0) != e0
| op(e0,e3) != e0 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f293,plain,
( op(e0,e3) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e3,e0) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f295,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f296,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f297,plain,
( op(e3,e3) = e3
| op(e3,e0) != e0
| op(e0,e3) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f298,definition,
( sP13_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f299,plain,
( sP12_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f290,f298]) ).
fof(f300,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e0) != e0
| op(e0,e2) != e0 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( op(e0,e2) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( op(e2,e0) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f303,plain,
( op(e2,e2) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f304,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f305,plain,
( op(e2,e2) = e2
| op(e2,e0) != e0
| op(e0,e2) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f306,definition,
( sP14_prd
<=> ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f307,plain,
( sP13_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f298,f306]) ).
fof(f308,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e0) != e0
| op(e0,e1) != e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f309,plain,
( op(e0,e1) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( op(e1,e0) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( op(e1,e1) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f312,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f313,plain,
( op(e1,e1) = e1
| op(e1,e0) != e0
| op(e0,e1) != e0
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f314,plain,
( ( op(e0,e0) = e0
| op(e0,e0) != e0
| op(e0,e0) != e0
| sP14_prd )
& ( ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f306]) ).
fof(f315,plain,
( op(e0,e0) = e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f317,plain,
( op(e0,e0) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f319,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f319,f322,f325,f328]) ).
fof(f332,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f332,f335,f338,f341]) ).
fof(f345,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f345,f348,f351,f354]) ).
fof(f358,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f358,f361,f364,f367]) ).
fof(f371,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f371,f374,f377,f380]) ).
fof(f384,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f384,f387,f390,f393]) ).
fof(f397,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f397,f400,f403,f406]) ).
fof(f410,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f410,f413,f416,f419]) ).
fof(f423,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f436,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f436,f439,f442,f445]) ).
fof(f449,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f449,f452,f455,f458]) ).
fof(f462,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f462,f465,f468,f471]) ).
fof(f475,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f475,f478,f481,f484]) ).
fof(f488,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f488,f491,f494,f497]) ).
fof(f501,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f501,f504,f507,f510]) ).
fof(f514,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f514,f517,f520,f523]) ).
fof(f527,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f319,f332,f345,f358]) ).
fof(f528,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f319,f371,f423,f475]) ).
fof(f529,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f322,f335,f348,f361]) ).
fof(f530,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f322,f374,f426,f478]) ).
fof(f531,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f325,f338,f351,f364]) ).
fof(f532,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f325,f377,f429,f481]) ).
fof(f533,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f328,f341,f354,f367]) ).
fof(f534,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f328,f380,f432,f484]) ).
fof(f535,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f371,f384,f397,f410]) ).
fof(f536,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f332,f384,f436,f488]) ).
fof(f537,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f374,f387,f400,f413]) ).
fof(f538,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f335,f387,f439,f491]) ).
fof(f539,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f377,f390,f403,f416]) ).
fof(f540,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f338,f390,f442,f494]) ).
fof(f541,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f380,f393,f406,f419]) ).
fof(f542,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f341,f393,f445,f497]) ).
fof(f543,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f423,f436,f449,f462]) ).
fof(f544,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f345,f397,f449,f501]) ).
fof(f545,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f426,f439,f452,f465]) ).
fof(f546,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f348,f400,f452,f504]) ).
fof(f547,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f429,f442,f455,f468]) ).
fof(f548,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f351,f403,f455,f507]) ).
fof(f549,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f432,f445,f458,f471]) ).
fof(f550,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f354,f406,f458,f510]) ).
fof(f551,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f475,f488,f501,f514]) ).
fof(f552,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f358,f410,f462,f514]) ).
fof(f553,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f478,f491,f504,f517]) ).
fof(f554,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f361,f413,f465,f517]) ).
fof(f555,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f481,f494,f507,f520]) ).
fof(f556,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f364,f416,f468,f520]) ).
fof(f557,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f484,f497,f510,f523]) ).
fof(f558,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f367,f419,f471,f523]) ).
fof(f559,plain,
( sQ63_spl
| sQ42_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f319,f387,f455,f523]) ).
fof(f561,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f136,f322,f332]) ).
fof(f562,plain,
( sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f137,f325,f345]) ).
fof(f563,plain,
( sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f138,f328,f358]) ).
fof(f564,plain,
( sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f139,f384,f374]) ).
fof(f566,plain,
( sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f141,f390,f400]) ).
fof(f567,plain,
( sQ29_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f142,f393,f413]) ).
fof(f568,plain,
( sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f143,f449,f429]) ).
fof(f569,plain,
( sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f144,f452,f442]) ).
fof(f571,plain,
( sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f146,f458,f468]) ).
fof(f572,plain,
( sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f147,f514,f484]) ).
fof(f573,plain,
( sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f148,f517,f497]) ).
fof(f574,plain,
( sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f149,f520,f510]) ).
fof(f576,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f151,f576,f523]) ).
fof(f581,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f153,f576,f523]) ).
fof(f582,definition,
( sQ65_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ65_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ66_spl
<=> e2 = op(op(op(e3,e3),op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( sQ66_spl
| e2 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f155,f514,f582,f585]) ).
fof(f589,definition,
( sQ67_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ67_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ68_spl
<=> e3 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ68_spl
| e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f157,f449,f589,f592]) ).
fof(f596,definition,
( sQ69_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( sQ69_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ70_spl
<=> e1 = op(op(op(e3,e3),op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ70_spl
| e1 != op(op(op(e3,e3),op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f159,f514,f596,f599]) ).
fof(f603,definition,
( sQ71_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ71_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ72_spl
<=> e3 = op(op(op(e1,e1),op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ72_spl
| e3 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f610,definition,
( sQ73_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ73_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ74_spl
<=> e1 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ74_spl
| e1 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f163,f449,f610,f613]) ).
fof(f617,definition,
( sQ75_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( sQ75_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f624,definition,
( sQ77_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( sQ77_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f628,definition,
( sQ78_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ78_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f169,f452,f628,f592]) ).
fof(f636,definition,
( sQ80_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ80_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ81_spl
<=> e3 = op(op(op(e0,e0),op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ81_spl
| e3 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f173,f322,f636,f639]) ).
fof(f643,definition,
( sQ82_spl
<=> e0 = op(op(op(e2,e2),op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ82_spl
| e0 != op(op(op(e2,e2),op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ82_spl
| ~ sQ73_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f175,f452,f610,f643]) ).
fof(f647,definition,
( sQ83_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ83_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ84_spl
<=> e2 = op(op(op(e0,e0),op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ84_spl
| e2 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f177,f322,f647,f650]) ).
fof(f654,plain,
( ~ sQ70_spl
| ~ sQ77_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f179,f520,f624,f599]) ).
fof(f655,definition,
( sQ85_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( sQ85_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ72_spl
| ~ sQ85_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f181,f390,f655,f606]) ).
fof(f660,definition,
( sQ86_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ86_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f185,f325,f660,f639]) ).
fof(f664,definition,
( sQ87_spl
<=> e0 = op(op(op(e1,e1),op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( sQ87_spl
| e0 != op(op(op(e1,e1),op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( ~ sQ87_spl
| ~ sQ75_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f187,f390,f617,f664]) ).
fof(f668,definition,
( sQ88_spl
<=> e1 = op(op(op(e0,e0),op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( sQ88_spl
| e1 != op(op(op(e0,e0),op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f672,plain,
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f191,f458,f628,f613]) ).
fof(f674,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f195,f458,f589,f643]) ).
fof(f676,plain,
( ~ sQ87_spl
| ~ sQ71_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f199,f393,f603,f664]) ).
fof(f677,plain,
( ~ sQ88_spl
| ~ sQ80_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f201,f328,f636,f668]) ).
fof(f678,definition,
( sQ89_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( sQ59_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f205,f576,f678,f510]) ).
fof(f682,plain,
( sQ47_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f206,f576,f678,f471]) ).
fof(f683,plain,
( ~ sQ42_spl
| sQ89_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f576,f678,f455]) ).
fof(f684,plain,
( ~ sQ89_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f576,f678]) ).
fof(f686,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ55_spl
| sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f213,f678,f686,f497]) ).
fof(f690,plain,
( sQ31_spl
| sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f214,f678,f686,f419]) ).
fof(f691,plain,
( ~ sQ21_spl
| sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f215,f678,f686,f387]) ).
fof(f692,plain,
( ~ sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f216,f678,f686]) ).
fof(f694,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( sQ51_spl
| sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f221,f686,f694,f484]) ).
fof(f698,plain,
( sQ15_spl
| sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f222,f686,f694,f367]) ).
fof(f699,plain,
( ~ sQ0_spl
| sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f223,f686,f694,f319]) ).
fof(f700,plain,
( ~ sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f224,f686,f694]) ).
fof(f702,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( sQ46_spl
| sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f229,f694,f702,f468]) ).
fof(f706,plain,
( sQ58_spl
| sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f230,f694,f702,f507]) ).
fof(f707,plain,
( ~ sQ63_spl
| sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f231,f694,f702,f523]) ).
fof(f708,plain,
( ~ sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f232,f694,f702]) ).
fof(f710,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ42_spl
| sQ93_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f237,f702,f710,f455]) ).
fof(f715,plain,
( ~ sQ42_spl
| sQ93_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f239,f702,f710,f455]) ).
fof(f716,plain,
( ~ sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f240,f702,f710]) ).
fof(f718,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( sQ38_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f245,f710,f718,f442]) ).
fof(f722,plain,
( sQ26_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f246,f710,f718,f403]) ).
fof(f723,plain,
( ~ sQ21_spl
| sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f247,f710,f718,f387]) ).
fof(f724,plain,
( ~ sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f248,f710,f718]) ).
fof(f726,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( sQ34_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f253,f718,f726,f429]) ).
fof(f730,plain,
( sQ10_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f254,f718,f726,f351]) ).
fof(f731,plain,
( ~ sQ0_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f255,f718,f726,f319]) ).
fof(f732,plain,
( ~ sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f256,f718,f726]) ).
fof(f733,plain,
( sQ0_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f257,f718,f429,f351,f319]) ).
fof(f734,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( sQ29_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f261,f726,f734,f413]) ).
fof(f738,plain,
( sQ53_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f262,f726,f734,f491]) ).
fof(f739,plain,
( ~ sQ63_spl
| sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f263,f726,f734,f523]) ).
fof(f740,plain,
( ~ sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f264,f726,f734]) ).
fof(f741,plain,
( sQ63_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f265,f726,f413,f491,f523]) ).
fof(f742,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( sQ25_spl
| sQ97_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f269,f734,f742,f400]) ).
fof(f746,plain,
( sQ37_spl
| sQ97_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f270,f734,f742,f439]) ).
fof(f747,plain,
( ~ sQ42_spl
| sQ97_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f271,f734,f742,f455]) ).
fof(f748,plain,
( ~ sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f272,f734,f742]) ).
fof(f749,plain,
( sQ42_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f273,f734,f400,f439,f455]) ).
fof(f750,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( sQ21_spl
| sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f277,f742,f750,f387]) ).
fof(f755,plain,
( ~ sQ21_spl
| sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f279,f742,f750,f387]) ).
fof(f756,plain,
( ~ sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f280,f742,f750]) ).
fof(f758,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( sQ17_spl
| sQ99_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f285,f750,f758,f374]) ).
fof(f762,plain,
( sQ5_spl
| sQ99_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f286,f750,f758,f335]) ).
fof(f763,plain,
( ~ sQ0_spl
| sQ99_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f287,f750,f758,f319]) ).
fof(f764,plain,
( ~ sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f288,f750,f758]) ).
fof(f765,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f289,f750,f374,f335,f319]) ).
fof(f766,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( sQ12_spl
| sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f293,f758,f766,f358]) ).
fof(f770,plain,
( sQ48_spl
| sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f294,f758,f766,f475]) ).
fof(f771,plain,
( ~ sQ63_spl
| sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f295,f758,f766,f523]) ).
fof(f772,plain,
( ~ sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f296,f758,f766]) ).
fof(f773,plain,
( sQ63_spl
| ~ sQ48_spl
| ~ sQ12_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f297,f758,f358,f475,f523]) ).
fof(f774,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( sQ8_spl
| sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f301,f766,f774,f345]) ).
fof(f778,plain,
( sQ32_spl
| sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f302,f766,f774,f423]) ).
fof(f779,plain,
( ~ sQ42_spl
| sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f303,f766,f774,f455]) ).
fof(f780,plain,
( ~ sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f304,f766,f774]) ).
fof(f781,plain,
( sQ42_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f305,f766,f345,f423,f455]) ).
fof(f782,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ4_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f309,f774,f782,f332]) ).
fof(f786,plain,
( sQ16_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f310,f774,f782,f371]) ).
fof(f787,plain,
( ~ sQ21_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f311,f774,f782,f387]) ).
fof(f788,plain,
( ~ sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f312,f774,f782]) ).
fof(f789,plain,
( sQ21_spl
| ~ sQ16_spl
| ~ sQ4_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f313,f774,f332,f371,f387]) ).
fof(f790,plain,
( sQ0_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f315,f782,f319]) ).
fof(f792,plain,
( ~ sQ0_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f317,f782,f319]) ).
fof(f794,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f482,f80]) ).
fof(f795,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f362,f365]) ).
fof(f796,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f129]) ).
fof(f797,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f482,f82]) ).
fof(f799,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f482,f83]) ).
fof(f800,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f479,f482]) ).
fof(f801,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f129]) ).
fof(f802,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f463,f466]) ).
fof(f804,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f126]) ).
fof(f805,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f411,f417]) ).
fof(f807,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f127]) ).
fof(f808,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f502,f505]) ).
fof(f810,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f126]) ).
fof(f811,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f489,f495]) ).
fof(f813,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f127]) ).
fof(f814,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f815,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f446,f85]) ).
fof(f817,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f433,f81]) ).
fof(f818,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f433,f79]) ).
fof(f819,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f349,f355]) ).
fof(f820,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f130]) ).
fof(f821,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f433,f83]) ).
fof(f824,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f427,f433]) ).
fof(f825,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f130]) ).
fof(f826,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f398,f407]) ).
fof(f828,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f128]) ).
fof(f829,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f794,f325,f481]) ).
fof(f831,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f799,f429,f481]) ).
fof(f832,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f446,f87]) ).
fof(f833,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f437,f446]) ).
fof(f834,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f128]) ).
fof(f835,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f342,f86]) ).
fof(f837,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f342,f84]) ).
fof(f838,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f381,f78]) ).
fof(f839,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f339,f342]) ).
fof(f840,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f839,f131]) ).
fof(f841,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f378,f381]) ).
fof(f843,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f131]) ).
fof(f844,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f388,f88]) ).
fof(f847,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f498,f89]) ).
fof(f848,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f476,f485]) ).
fof(f849,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f128]) ).
fof(f850,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f372,f375]) ).
fof(f852,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f126]) ).
fof(f853,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f858,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f414,f417]) ).
fof(f859,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f129]) ).
fof(f860,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f861,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f333,f86]) ).
fof(f863,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f333,f84]) ).
fof(f865,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f388,f87]) ).
fof(f867,plain,
( ~ sQ4_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f333,f85]) ).
fof(f870,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f511,f92]) ).
fof(f871,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f440,f443]) ).
fof(f872,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f129]) ).
fof(f873,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f440,f865]) ).
fof(f876,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f875]) ).
fof(f877,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f498,f88]) ).
fof(f881,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f511,f94]) ).
fof(f882,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f508,f511]) ).
fof(f883,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f131]) ).
fof(f884,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f508,f94]) ).
fof(f887,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f508,f92]) ).
fof(f889,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f823,f484,f432]) ).
fof(f890,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f498,f836]) ).
fof(f891,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f890]) ).
fof(f892,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f863,f384,f332]) ).
fof(f894,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f469,f472]) ).
fof(f895,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f894,f131]) ).
fof(f896,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f424,f430]) ).
fof(f899,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f127]) ).
fof(f900,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f336,f339]) ).
fof(f902,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f129]) ).
fof(f903,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f902]) ).
fof(f907,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f368,f96]) ).
fof(f908,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f420,f907]) ).
fof(f909,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f908]) ).
fof(f910,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f911,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f368,f97]) ).
fof(f912,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f368,f98]) ).
fof(f913,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f352,f91]) ).
fof(f914,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f352,f90]) ).
fof(f915,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f914,f403,f351]) ).
fof(f917,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f352,f355]) ).
fof(f918,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f131]) ).
fof(f919,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f492,f495]) ).
fof(f922,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f921,f129]) ).
fof(f923,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f359,f365]) ).
fof(f926,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f127]) ).
fof(f927,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f401,f93]) ).
fof(f934,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f346,f103]) ).
fof(f938,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f443,f446]) ).
fof(f939,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f131]) ).
fof(f940,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f941,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f867,f436,f332]) ).
fof(f949,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f934]) ).
fof(f950,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f911,f471,f367]) ).
fof(f952,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f913,f455,f351]) ).
fof(f953,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f885,f403,f507]) ).
fof(f954,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f912,f523,f367]) ).
fof(f955,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f870,f354,f510]) ).
fof(f957,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f818,f328,f432]) ).
fof(f958,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f524,f101]) ).
fof(f959,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f524,f100]) ).
fof(f960,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f958,f471,f523]) ).
fof(f961,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f414,f99]) ).
fof(f962,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f961,f465,f413]) ).
fof(f963,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f401,f407]) ).
fof(f964,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f963,f130]) ).
fof(f965,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f964]) ).
fof(f966,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f959,f419,f523]) ).
fof(f967,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f887,f351,f507]) ).
fof(f968,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f838,f328,f380]) ).
fof(f969,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f817,f380,f432]) ).
fof(f970,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f847,f445,f497]) ).
fof(f971,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f798,f377,f481]) ).
fof(f972,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f359,f107]) ).
fof(f973,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f359,f106]) ).
fof(f974,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f359,f104]) ).
fof(f975,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f973,f332,f358]) ).
fof(f976,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f974,f319,f358]) ).
fof(f980,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f398,f111]) ).
fof(f982,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f398,f109]) ).
fof(f987,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f479,f485]) ).
fof(f988,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f130]) ).
fof(f989,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f845,f491,f387]) ).
fof(f992,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f427,f430]) ).
fof(f993,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f129]) ).
fof(f994,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f998,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f398,f113]) ).
fof(f1000,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f333,f105]) ).
fof(f1001,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f333,f102]) ).
fof(f1002,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1001,f319,f332]) ).
fof(f1003,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f879,f393,f497]) ).
fof(f1006,plain,
( ~ sQ42_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f456,f115]) ).
fof(f1007,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f456,f95]) ).
fof(f1008,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1007,f507,f455]) ).
fof(f1009,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f832,f393,f445]) ).
fof(f1011,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f375,f108]) ).
fof(f1012,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1011,f387,f374]) ).
fof(f1013,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f972,f345,f358]) ).
fof(f1016,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f505,f511]) ).
fof(f1017,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f130]) ).
fof(f1018,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1023,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f469,f119]) ).
fof(f1024,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f469,f118]) ).
fof(f1025,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f469,f116]) ).
fof(f1026,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1024,f442,f468]) ).
fof(f1027,plain,
( ~ sQ27_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f881]) ).
fof(f1028,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1029,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1023,f455,f468]) ).
fof(f1030,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f982,f371,f397]) ).
fof(f1031,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f861,f488,f332]) ).
fof(f1032,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1000,f345,f332]) ).
fof(f1034,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f502,f125]) ).
fof(f1035,plain,
( ~ sQ56_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f502,f123]) ).
fof(f1037,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1035,f488,f501]) ).
fof(f1038,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f837,f393,f341]) ).
fof(f1041,plain,
( ~ sQ32_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f424,f114]) ).
fof(f1042,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f398,f401]) ).
fof(f1043,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f126]) ).
fof(f1044,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1045,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f323,f80]) ).
fof(f1049,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1045,f478,f322]) ).
fof(f1050,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f929,f452,f400]) ).
fof(f1051,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1041,f436,f423]) ).
fof(f1052,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1025,f429,f468]) ).
fof(f1053,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f998,f410,f397]) ).
fof(f1054,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f980,f384,f397]) ).
fof(f1056,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f476,f83]) ).
fof(f1057,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f476,f82]) ).
fof(f1059,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f476,f120]) ).
fof(f1060,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1057,f371,f475]) ).
fof(f1065,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f378,f78]) ).
fof(f1070,plain,
( sQ71_spl
| ~ sQ23_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f394,f605]) ).
fof(f1071,plain,
( sQ71_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f394,f1070]) ).
fof(f1079,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f492,f86]) ).
fof(f1082,plain,
( ~ sQ37_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f440,f85]) ).
fof(f1089,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f440,f89]) ).
fof(f1090,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f492,f1089]) ).
fof(f1091,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1090]) ).
fof(f1092,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1091]) ).
fof(f1096,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f463,f472]) ).
fof(f1097,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f128]) ).
fof(f1098,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1034,f514,f501]) ).
fof(f1100,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1071,f520,f393,f603]) ).
fof(f1125,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f401,f404]) ).
fof(f1126,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f129]) ).
fof(f1127,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1137,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f456,f93]) ).
fof(f1142,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f333,f336]) ).
fof(f1143,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f126]) ).
fof(f1144,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1163,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f375,f378]) ).
fof(f1164,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f129]) ).
fof(f1165,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f1006]) ).
fof(f1168,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f420,f99]) ).
fof(f1171,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1169,f471,f419]) ).
fof(f1172,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1065,f325,f377]) ).
fof(f1173,plain,
( ~ sQ29_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f414,f113]) ).
fof(f1175,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f414,f112]) ).
fof(f1176,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f349,f107]) ).
fof(f1177,plain,
( ~ sQ9_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f349,f103]) ).
fof(f1178,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f414,f110]) ).
fof(f1179,plain,
( ~ sQ21_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f1175]) ).
fof(f1180,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1183,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1137,f403,f455]) ).
fof(f1185,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1173,f400,f413]) ).
fof(f1186,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1176,f361,f348]) ).
fof(f1187,plain,
( ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1082,f335,f439]) ).
fof(f1203,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f375,f381]) ).
fof(f1204,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f130]) ).
fof(f1205,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1204]) ).
fof(f1210,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f375,f109]) ).
fof(f1212,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1178,f374,f413]) ).
fof(f1218,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f365,f106]) ).
fof(f1219,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f365,f98]) ).
fof(f1223,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f485,f80]) ).
fof(f1226,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f505,f95]) ).
fof(f1241,plain,
( ~ sQ51_spl
| op(e1,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f485,f82]) ).
fof(f1242,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f1241]) ).
fof(f1243,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1177,f322,f348]) ).
fof(f1247,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f333,f342]) ).
fof(f1248,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f128]) ).
fof(f1249,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1250,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1226,f452,f504]) ).
fof(f1310,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f372,f381]) ).
fof(f1311,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1310,f128]) ).
fof(f1312,plain,
( ~ sQ19_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1311]) ).
fof(f1319,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f411,f420]) ).
fof(f1320,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f128]) ).
fof(f1321,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1330,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f411,f96]) ).
fof(f1353,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f346,f92]) ).
fof(f1384,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f476,f479]) ).
fof(f1385,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f126]) ).
fof(f1386,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1388,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f427,f81]) ).
fof(f1396,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1056,f423,f475]) ).
fof(f1401,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1059,f488,f475]) ).
fof(f1403,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1353,f501,f345]) ).
fof(f1405,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1388,f374,f426]) ).
fof(f1406,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f815,f341,f445]) ).
fof(f1407,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1079,f335,f491]) ).
fof(f1408,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1218,f338,f364]) ).
fof(f1410,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f502,f121]) ).
fof(f1417,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f365,f107]) ).
fof(f1439,plain,
( ~ sQ62_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f1219]) ).
fof(f1440,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1439]) ).
fof(f1442,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1410,f475,f501]) ).
fof(f1444,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1417,f351,f364]) ).
fof(f1446,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f365,f368]) ).
fof(f1447,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1446,f131]) ).
fof(f1448,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1447]) ).
fof(f1449,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1210,f400,f374]) ).
fof(f1471,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f323,f649]) ).
fof(f1473,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f323,f1471]) ).
fof(f1474,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f394,f1473]) ).
fof(f1475,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1474]) ).
fof(f1476,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1475]) ).
fof(f1485,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f443,f85]) ).
fof(f1507,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f375,f82]) ).
fof(f1510,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1507,f478,f374]) ).
fof(f1525,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f443,f89]) ).
fof(f1594,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f404,f113]) ).
fof(f1608,plain,
( sQ78_spl
| ~ sQ41_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f453,f630]) ).
fof(f1609,plain,
( sQ78_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f453,f1608]) ).
fof(f1619,plain,
( sQ73_spl
| ~ sQ41_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f453,f612]) ).
fof(f1620,plain,
( sQ73_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f453,f1619]) ).
fof(f1621,plain,
( sQ73_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f394,f1620]) ).
fof(f1622,plain,
( sQ73_spl
| ~ sQ41_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1621]) ).
fof(f1623,plain,
( sQ73_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1632,plain,
( sQ78_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1609,f384,f452,f628]) ).
fof(f1641,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1485,f338,f442]) ).
fof(f1646,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1594,f416,f403]) ).
fof(f1653,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f502,f95]) ).
fof(f1657,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f502,f511]) ).
fof(f1658,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f128]) ).
fof(f1659,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1660,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f320,f78]) ).
fof(f1683,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f381,f108]) ).
fof(f1693,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f466,f472]) ).
fof(f1694,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1693,f130]) ).
fof(f1695,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1709,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f385,f112]) ).
fof(f1727,plain,
( sQ65_spl
| ~ sQ60_spl
| e1 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f515,f584]) ).
fof(f1728,plain,
( sQ65_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f515,f1727]) ).
fof(f1740,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f407,f113]) ).
fof(f1774,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f424,f116]) ).
fof(f1784,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f485,f120]) ).
fof(f1788,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f326,f79]) ).
fof(f1802,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f346,f91]) ).
fof(f1808,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f385,f87]) ).
fof(f1812,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f446,f117]) ).
fof(f1826,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f505,f125]) ).
fof(f1832,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f336,f84]) ).
fof(f1834,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f326,f104]) ).
fof(f1836,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f326,f102]) ).
fof(f1838,plain,
( sQ69_spl
| ~ sQ60_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f515,f598]) ).
fof(f1839,plain,
( sQ69_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f515,f1838]) ).
fof(f1840,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f326,f1839]) ).
fof(f1841,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1840]) ).
fof(f1842,plain,
( sQ69_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1843,plain,
( sQ70_spl
| ~ sQ60_spl
| e1 != op(op(e0,op(e3,e3)),e3) ),
inference(forward_demodulation,[status(thm)],[f515,f601]) ).
fof(f1844,plain,
( sQ70_spl
| ~ sQ60_spl
| e1 != op(op(e0,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f515,f1843]) ).
fof(f1845,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f326,f1844]) ).
fof(f1846,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f466,f1845]) ).
fof(f1847,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1846]) ).
fof(f1848,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1847]) ).
fof(f1866,plain,
( sQ80_spl
| ~ sQ1_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f323,f638]) ).
fof(f1867,plain,
( sQ80_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f323,f1866]) ).
fof(f1871,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(op(e1,op(e0,e0)),e0) ),
inference(forward_demodulation,[status(thm)],[f323,f652]) ).
fof(f1872,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(op(e1,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f323,f1871]) ).
fof(f1942,plain,
( ~ sQ22_spl
| sQ80_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f1867]) ).
fof(f1943,plain,
( ~ sQ22_spl
| sQ80_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1942]) ).
fof(f1944,plain,
( sQ81_spl
| ~ sQ1_spl
| e3 != op(op(e1,op(e0,e0)),e0) ),
inference(forward_demodulation,[status(thm)],[f323,f641]) ).
fof(f1945,plain,
( sQ81_spl
| ~ sQ1_spl
| e3 != op(op(e1,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f323,f1944]) ).
fof(f1972,plain,
( sQ85_spl
| ~ sQ22_spl
| e0 != op(op(e1,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f391,f657]) ).
fof(f1977,plain,
( sQ85_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f391,f1972]) ).
fof(f2008,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f355,f90]) ).
fof(f2034,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ22_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f391,f1945]) ).
fof(f2035,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f433,f2034]) ).
fof(f2036,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2035]) ).
fof(f2037,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2055,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f518,f98]) ).
fof(f2056,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f463,f97]) ).
fof(f2058,plain,
( sQ85_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1977,f449,f390,f655]) ).
fof(f2062,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f355,f91]) ).
fof(f2063,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f463,f119]) ).
fof(f2065,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1653,f449,f501]) ).
fof(f2071,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1660,f371,f319]) ).
fof(f2072,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f502,f508]) ).
fof(f2073,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f127]) ).
fof(f2074,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2077,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1834,f364,f325]) ).
fof(f2078,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1788,f429,f325]) ).
fof(f2080,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1808,f436,f384]) ).
fof(f2081,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1709,f410,f384]) ).
fof(f2084,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1802,f449,f345]) ).
fof(f2114,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(op(op(e0,e0),e3),e0) ),
inference(backward_demodulation,[status(thm)],[f329,f670]) ).
fof(f2117,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f329,f104]) ).
fof(f2119,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(op(e3,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f329,f2114]) ).
fof(f2120,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f521,f2119]) ).
fof(f2175,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f427,f2120]) ).
fof(f2176,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2175]) ).
fof(f2177,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2181,plain,
( sQ80_spl
| ~ sQ3_spl
| e2 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f329,f638]) ).
fof(f2182,plain,
( sQ80_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f329,f2181]) ).
fof(f2183,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f521,f2182]) ).
fof(f2184,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2183]) ).
fof(f2185,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2193,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f349,f352]) ).
fof(f2194,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f129]) ).
fof(f2195,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2198,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1836,f338,f325]) ).
fof(f2203,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1826,f517,f504]) ).
fof(f2205,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2055,f361,f517]) ).
fof(f2210,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2008,f406,f354]) ).
fof(f2212,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1740,f419,f406]) ).
fof(f2214,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1832,f387,f335]) ).
fof(f2215,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1525,f494,f442]) ).
fof(f2217,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2056,f358,f462]) ).
fof(f2219,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2063,f449,f462]) ).
fof(f2229,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f463,f118]) ).
fof(f2410,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f336,f106]) ).
fof(f2424,plain,
( sQ68_spl
| ~ sQ41_spl
| e3 != op(op(e1,op(e2,e2)),e2) ),
inference(forward_demodulation,[status(thm)],[f453,f594]) ).
fof(f2425,plain,
( sQ68_spl
| ~ sQ41_spl
| e3 != op(op(e1,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f453,f2424]) ).
fof(f2426,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f385,f2425]) ).
fof(f2427,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f355,f2426]) ).
fof(f2428,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2427]) ).
fof(f2429,plain,
( sQ68_spl
| ~ sQ41_spl
| ~ sQ20_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2428]) ).
fof(f2431,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2062,f458,f354]) ).
fof(f2434,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2410,f361,f335]) ).
fof(f2437,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1812,f458,f445]) ).
fof(f2501,plain,
( ~ sQ16_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f372,f110]) ).
fof(f2615,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f394,f1872]) ).
fof(f2616,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f482,f2615]) ).
fof(f2617,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2616]) ).
fof(f2618,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2639,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1774,f462,f423]) ).
fof(f2651,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f342,f106]) ).
fof(f2671,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f388,f111]) ).
fof(f2753,plain,
( sQ86_spl
| ~ sQ2_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f326,f662]) ).
fof(f2754,plain,
( sQ86_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f326,f2753]) ).
fof(f2755,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f453,f2754]) ).
fof(f2756,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2755]) ).
fof(f2757,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2756]) ).
fof(f2758,plain,
( sQ81_spl
| ~ sQ2_spl
| e3 != op(op(e2,op(e0,e0)),e0) ),
inference(forward_demodulation,[status(thm)],[f326,f641]) ).
fof(f2759,plain,
( sQ81_spl
| ~ sQ2_spl
| e3 != op(op(e2,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f326,f2758]) ).
fof(f2760,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ41_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f453,f2759]) ).
fof(f2761,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ41_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f381,f2760]) ).
fof(f2762,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ41_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2761]) ).
fof(f2763,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ41_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2762]) ).
fof(f2767,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f511,f95]) ).
fof(f2770,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f346,f352]) ).
fof(f2771,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2770,f127]) ).
fof(f2772,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2771]) ).
fof(f2775,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2117,f367,f328]) ).
fof(f2779,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2501,f410,f371]) ).
fof(f2782,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1330,f358,f410]) ).
fof(f2784,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1784,f497,f484]) ).
fof(f2785,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1223,f328,f484]) ).
fof(f2850,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(op(e0,op(e2,e2)),e2) ),
inference(forward_demodulation,[status(thm)],[f450,f615]) ).
fof(f2851,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(op(e0,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f450,f2850]) ).
fof(f2943,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f362,f97]) ).
fof(f2952,plain,
( sQ77_spl
| ~ sQ62_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f521,f626]) ).
fof(f2953,plain,
( sQ77_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f521,f2952]) ).
fof(f2954,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f450,f2953]) ).
fof(f2955,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2954]) ).
fof(f2956,plain,
( sQ77_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2955]) ).
fof(f2982,plain,
( sQ72_spl
| ~ sQ22_spl
| e3 != op(op(e2,op(e1,e1)),e1) ),
inference(forward_demodulation,[status(thm)],[f391,f608]) ).
fof(f2983,plain,
( sQ72_spl
| ~ sQ22_spl
| e3 != op(op(e2,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f391,f2982]) ).
fof(f2984,plain,
( sQ87_spl
| ~ sQ22_spl
| e0 != op(op(e2,op(e1,e1)),e1) ),
inference(forward_demodulation,[status(thm)],[f391,f666]) ).
fof(f2985,plain,
( sQ87_spl
| ~ sQ22_spl
| e0 != op(op(e2,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f391,f2984]) ).
fof(f2999,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f459,f2985]) ).
fof(f3004,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2999,f488,f458,f390,f664]) ).
fof(f3009,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f391,f619]) ).
fof(f3010,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f391,f3009]) ).
fof(f3011,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f459,f3010]) ).
fof(f3012,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3011]) ).
fof(f3013,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3012]) ).
fof(f3014,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f440,f446]) ).
fof(f3015,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3014,f130]) ).
fof(f3016,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3015]) ).
fof(f3018,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f391,f84]) ).
fof(f3026,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f521,f101]) ).
fof(f3051,plain,
( sQ67_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f450,f591]) ).
fof(f3052,plain,
( sQ67_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f450,f3051]) ).
fof(f3081,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f450,f2983]) ).
fof(f3082,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f342,f3081]) ).
fof(f3083,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3082]) ).
fof(f3084,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3083]) ).
fof(f3085,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1683,f393,f380]) ).
fof(f3094,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2767,f458,f510]) ).
fof(f3099,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3026,f468,f520]) ).
fof(f3101,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2229,f436,f462]) ).
fof(f3113,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f489,f492]) ).
fof(f3114,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3113,f126]) ).
fof(f3115,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3114]) ).
fof(f3116,plain,
( sQ67_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3052,f322,f449,f589]) ).
fof(f3118,plain,
( sQ65_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1728,f322,f514,f582]) ).
fof(f3137,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f352,f105]) ).
fof(f3184,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f407,f93]) ).
fof(f3296,plain,
( sQ66_spl
| ~ sQ60_spl
| e2 != op(op(e0,op(e3,e3)),e3) ),
inference(forward_demodulation,[status(thm)],[f515,f587]) ).
fof(f3297,plain,
( sQ66_spl
| ~ sQ60_spl
| e2 != op(op(e0,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f515,f3296]) ).
fof(f3298,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ1_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f323,f3297]) ).
fof(f3299,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f417,f3298]) ).
fof(f3300,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3299]) ).
fof(f3301,plain,
( sQ66_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3300]) ).
fof(f3351,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f329,f2851]) ).
fof(f3352,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f505,f3351]) ).
fof(f3353,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3352]) ).
fof(f3354,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3353]) ).
fof(f3358,plain,
( sQ73_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f450,f612]) ).
fof(f3359,plain,
( sQ73_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f450,f3358]) ).
fof(f3360,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f329,f3359]) ).
fof(f3361,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3360]) ).
fof(f3362,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3361]) ).
fof(f3363,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3184,f458,f406]) ).
fof(f3372,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2651,f367,f341]) ).
fof(f3379,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f505,f508]) ).
fof(f3380,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3379,f129]) ).
fof(f3381,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3380]) ).
fof(f3382,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2943,f465,f361]) ).
fof(f3383,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3018,f338,f390]) ).
fof(f3384,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3137,f338,f351]) ).
fof(f3385,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2671,f400,f387]) ).
fof(f3551,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f459,f630]) ).
fof(f3552,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f459,f3551]) ).
fof(f3553,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f515,f3552]) ).
fof(f3554,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3553]) ).
fof(f3555,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3554]) ).
fof(f3556,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(op(e3,op(e2,e2)),e2) ),
inference(forward_demodulation,[status(thm)],[f459,f615]) ).
fof(f3557,plain,
( sQ74_spl
| ~ sQ43_spl
| e1 != op(op(e3,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f459,f3556]) ).
fof(f3558,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f515,f3557]) ).
fof(f3559,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f349,f3558]) ).
fof(f3560,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3559]) ).
fof(f3561,plain,
( sQ74_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3560]) ).
fof(f3583,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(op(e3,op(e2,e2)),e2) ),
inference(forward_demodulation,[status(thm)],[f459,f645]) ).
fof(f3584,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(op(e3,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f459,f3583]) ).
fof(f3589,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f518,f3584]) ).
fof(f3591,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3589,f397,f517,f458,f643]) ).
fof(f3595,plain,
( sQ67_spl
| ~ sQ43_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f459,f591]) ).
fof(f3596,plain,
( sQ67_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f459,f3595]) ).
fof(f3597,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f518,f3596]) ).
fof(f3598,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3597]) ).
fof(f3599,plain,
( sQ67_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f3598]) ).
fof(f3600,plain,
$false,
inference(sat_refutation,[status(thm)],[f331,f344,f357,f370,f383,f396,f409,f422,f448,f461,f474,f487,f500,f513,f526,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f561,f562,f563,f564,f566,f567,f568,f569,f571,f572,f573,f574,f579,f581,f588,f595,f602,f616,f631,f642,f646,f653,f654,f658,f663,f667,f672,f674,f676,f677,f681,f682,f683,f684,f689,f690,f691,f692,f697,f698,f699,f700,f705,f706,f707,f708,f713,f715,f716,f721,f722,f723,f724,f729,f730,f731,f732,f733,f737,f738,f739,f740,f741,f745,f746,f747,f748,f749,f753,f755,f756,f761,f762,f763,f764,f765,f769,f770,f771,f772,f773,f777,f778,f779,f780,f781,f785,f786,f787,f788,f789,f790,f792,f797,f802,f805,f808,f811,f814,f821,f826,f829,f830,f831,f835,f841,f844,f850,f853,f860,f873,f877,f884,f889,f892,f893,f896,f900,f903,f910,f915,f919,f923,f927,f940,f941,f950,f951,f952,f953,f954,f955,f957,f960,f962,f965,f966,f967,f968,f969,f970,f971,f975,f976,f989,f990,f994,f1002,f1003,f1008,f1009,f1012,f1013,f1018,f1026,f1028,f1029,f1030,f1031,f1032,f1037,f1038,f1044,f1049,f1050,f1051,f1052,f1053,f1054,f1060,f1092,f1098,f1099,f1100,f1127,f1144,f1165,f1168,f1171,f1172,f1180,f1183,f1185,f1186,f1187,f1205,f1212,f1243,f1244,f1249,f1250,f1312,f1321,f1386,f1396,f1401,f1403,f1405,f1406,f1407,f1408,f1440,f1442,f1444,f1448,f1449,f1476,f1510,f1623,f1632,f1641,f1646,f1659,f1695,f1842,f1848,f1943,f2037,f2058,f2065,f2071,f2074,f2077,f2078,f2080,f2081,f2084,f2177,f2185,f2195,f2198,f2203,f2205,f2210,f2212,f2214,f2215,f2217,f2219,f2429,f2431,f2434,f2437,f2618,f2639,f2757,f2763,f2772,f2775,f2779,f2782,f2784,f2785,f2956,f3004,f3013,f3016,f3084,f3085,f3094,f3099,f3101,f3115,f3116,f3118,f3301,f3354,f3362,f3363,f3372,f3381,f3382,f3383,f3384,f3385,f3555,f3561,f3591,f3599]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG146+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 13:00:59 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.47 % Refutation found
% 0.13/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.35/0.50 % Elapsed time: 0.116772 seconds
% 0.35/0.50 % CPU time: 0.680504 seconds
% 0.35/0.50 % Total memory used: 21.070 MB
% 0.35/0.50 % Net memory used: 20.732 MB
%------------------------------------------------------------------------------