%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG137+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:34 AM UTC 2026
% Result : Unsatisfiable 1.52s 0.80s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 135
% Syntax : Number of formulae : 1437 ( 55 unt; 110 def)
% Number of atoms : 4154 (1449 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 5262 (2545 ~;2414 |; 191 &)
% ( 112 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 112 ( 110 usr; 111 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e0,e3),op(e0,e3)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e0),op(e3,e0)) = e3
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e1,op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e1,op(op(e1,e1),e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e2,op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e2,op(op(e2,e2),e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e3,op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e0,op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e0,op(op(e0,e0),e0))
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e2,op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e3,op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e0,op(op(e0,e0),e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e0,op(op(e0,e0),e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e1,op(op(e1,e1),e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e3,op(op(e3,e3),e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e3,op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e0,op(op(e0,e0),e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e0,op(op(e0,e0),e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e1,op(op(e1,e1),e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e1,op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e2,op(op(e2,e2),e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e2,op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(op(e3,e2),op(e3,e2)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e0),op(e3,e0)) = e3
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e0,e3),op(e0,e3)) = e0 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(op(e0,e3),op(e0,e3)) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(op(e1,e3),op(e1,e3)) = e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(op(e2,e3),op(e2,e3)) = e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(op(e3,e3),op(e3,e3)) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f139,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f141,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f143,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f145,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e2 != op(e3,op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f147,plain,
( e2 != op(e3,op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f150,plain,
( e3 != op(e0,op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f151,plain,
( e3 != op(e0,op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e2 != op(e0,op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f153,plain,
( e2 != op(e0,op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f155,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f158,plain,
( e2 != op(e3,op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f159,plain,
( e2 != op(e3,op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f162,plain,
( e3 != op(e0,op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f163,plain,
( e3 != op(e0,op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f165,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f167,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f170,plain,
( e1 != op(e3,op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f171,plain,
( e1 != op(e3,op(op(e3,e3),e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(e3,op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f173,plain,
( e0 != op(e3,op(op(e3,e3),e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e2 != op(e0,op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f175,plain,
( e2 != op(e0,op(op(e0,e0),e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f177,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f179,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e0 != op(e1,op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f181,plain,
( e0 != op(e1,op(op(e1,e1),e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f183,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(e2,op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f185,plain,
( e0 != op(e2,op(op(e2,e2),e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,definition,
( sP1_prd
<=> ( ( op(op(e3,e1),op(e3,e1)) = e3
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e0),op(e3,e0)) = e3
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f187,plain,
( sP0_prd
<=> ( ( op(op(e3,e2),op(e3,e2)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e0,e2),op(e0,e2)) = e0 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f186]) ).
fof(f188,plain,
( ( ( ( op(op(e3,e2),op(e3,e2)) != e3
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e1,e2),op(e1,e2)) != e1
| op(op(e0,e2),op(e0,e2)) != e0 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(op(e3,e2),op(e3,e2)) = e3
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e0,e2),op(e0,e2)) = e0 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( op(op(e0,e2),op(e0,e2)) = e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( op(op(e1,e2),op(e1,e2)) = e1
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f191,plain,
( op(op(e2,e2),op(e2,e2)) = e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f192,plain,
( op(op(e3,e2),op(e3,e2)) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f193,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f195,definition,
( sP2_prd
<=> ( op(op(e3,e0),op(e3,e0)) = e3
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f196,plain,
( sP1_prd
<=> ( ( op(op(e3,e1),op(e3,e1)) = e3
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e0,e1)) = e0 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f186,f195]) ).
fof(f197,plain,
( ( ( ( op(op(e3,e1),op(e3,e1)) != e3
| op(op(e2,e1),op(e2,e1)) != e2
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e0,e1),op(e0,e1)) != e0 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(op(e3,e1),op(e3,e1)) = e3
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e0,e1)) = e0 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(op(e0,e1),op(e0,e1)) = e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( op(op(e1,e1),op(e1,e1)) = e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( op(op(e2,e1),op(e2,e1)) = e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f201,plain,
( op(op(e3,e1),op(e3,e1)) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f202,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f204,plain,
( ( op(op(e3,e0),op(e3,e0)) != e3
| op(op(e2,e0),op(e2,e0)) != e2
| op(op(e1,e0),op(e1,e0)) != e1
| op(op(e0,e0),op(e0,e0)) != e0
| sP2_prd )
& ( ( op(op(e3,e0),op(e3,e0)) = e3
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e0,e0),op(e0,e0)) = e0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f195]) ).
fof(f205,plain,
( op(op(e0,e0),op(e0,e0)) = e0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(op(e1,e0),op(e1,e0)) = e1
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f207,plain,
( op(op(e2,e0),op(e2,e0)) = e2
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f208,plain,
( op(op(e3,e0),op(e3,e0)) = e3
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f210,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f210,f213,f216,f219]) ).
fof(f223,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f223,f226,f229,f232]) ).
fof(f236,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f236,f239,f242,f245]) ).
fof(f249,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f301,f304,f307,f310]) ).
fof(f314,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f340,f343,f346,f349]) ).
fof(f353,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f366,f369,f372,f375]) ).
fof(f379,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ60_spl
| op(e3,e3) != e0 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ62_spl
| op(e3,e3) != e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f405,f408,f411,f414]) ).
fof(f418,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f210,f223,f236,f249]) ).
fof(f419,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f210,f262,f314,f366]) ).
fof(f420,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f213,f226,f239,f252]) ).
fof(f421,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f213,f265,f317,f369]) ).
fof(f422,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f216,f229,f242,f255]) ).
fof(f423,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f216,f268,f320,f372]) ).
fof(f424,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f219,f232,f245,f258]) ).
fof(f425,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f219,f271,f323,f375]) ).
fof(f426,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f262,f275,f288,f301]) ).
fof(f427,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f223,f275,f327,f379]) ).
fof(f428,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f265,f278,f291,f304]) ).
fof(f429,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f226,f278,f330,f382]) ).
fof(f430,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f268,f281,f294,f307]) ).
fof(f431,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f229,f281,f333,f385]) ).
fof(f432,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f271,f284,f297,f310]) ).
fof(f433,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f232,f284,f336,f388]) ).
fof(f434,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f314,f327,f340,f353]) ).
fof(f435,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f236,f288,f340,f392]) ).
fof(f436,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f317,f330,f343,f356]) ).
fof(f437,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f239,f291,f343,f395]) ).
fof(f438,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f320,f333,f346,f359]) ).
fof(f439,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f242,f294,f346,f398]) ).
fof(f440,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f323,f336,f349,f362]) ).
fof(f441,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f245,f297,f349,f401]) ).
fof(f442,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f366,f379,f392,f405]) ).
fof(f443,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f249,f301,f353,f405]) ).
fof(f444,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f369,f382,f395,f408]) ).
fof(f445,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f252,f304,f356,f408]) ).
fof(f446,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f372,f385,f398,f411]) ).
fof(f447,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f255,f307,f359,f411]) ).
fof(f448,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f375,f388,f401,f414]) ).
fof(f449,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f258,f310,f362,f414]) ).
fof(f450,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f453,definition,
( sQ65_spl
<=> op(op(e0,e3),op(e0,e3)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ65_spl
| op(op(e0,e3),op(e0,e3)) = e0 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f450,f453]) ).
fof(f457,definition,
( sQ66_spl
<=> op(op(e1,e3),op(e1,e3)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ66_spl
| op(op(e1,e3),op(e1,e3)) = e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ66_spl
| op(op(e1,e3),op(e1,e3)) != e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f450,f457]) ).
fof(f461,definition,
( sQ67_spl
<=> op(op(e2,e3),op(e2,e3)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ67_spl
| op(op(e2,e3),op(e2,e3)) = e2 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ67_spl
| op(op(e2,e3),op(e2,e3)) != e2 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f450,f461]) ).
fof(f465,definition,
( sQ68_spl
<=> op(op(e3,e3),op(e3,e3)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ68_spl
| op(op(e3,e3),op(e3,e3)) = e3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f450,f465]) ).
fof(f469,definition,
( sQ69_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ69_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ70_spl
<=> e3 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ70_spl
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ sQ70_spl
| ~ sQ22_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f139,f469,f281,f472]) ).
fof(f476,definition,
( sQ71_spl
<=> e2 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ71_spl
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( ~ sQ71_spl
| ~ sQ23_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f141,f469,f284,f476]) ).
fof(f480,definition,
( sQ72_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ72_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ73_spl
<=> e3 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ73_spl
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( ~ sQ73_spl
| ~ sQ41_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f143,f480,f343,f483]) ).
fof(f487,definition,
( sQ74_spl
<=> e1 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ74_spl
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f145,f480,f349,f487]) ).
fof(f491,definition,
( sQ75_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ75_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ76_spl
<=> e2 = op(e3,op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ76_spl
| e2 != op(e3,op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ76_spl
| ~ sQ61_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f147,f491,f408,f494]) ).
fof(f498,definition,
( sQ77_spl
<=> e1 = op(e3,op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ77_spl
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f502,definition,
( sQ78_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ78_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ79_spl
<=> e3 = op(e0,op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ79_spl
| e3 != op(e0,op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( ~ sQ79_spl
| ~ sQ2_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f151,f502,f216,f505]) ).
fof(f509,definition,
( sQ80_spl
<=> e2 = op(e0,op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ80_spl
| e2 != op(e0,op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( ~ sQ80_spl
| ~ sQ3_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f153,f502,f219,f509]) ).
fof(f513,definition,
( sQ81_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ81_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( ~ sQ73_spl
| ~ sQ40_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f155,f513,f340,f483]) ).
fof(f517,definition,
( sQ82_spl
<=> e0 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f521,definition,
( sQ83_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ83_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f159,f521,f405,f494]) ).
fof(f525,definition,
( sQ84_spl
<=> e0 = op(e3,op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f529,definition,
( sQ85_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ85_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f163,f529,f213,f505]) ).
fof(f533,definition,
( sQ86_spl
<=> e1 = op(e0,op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ86_spl
| e1 != op(e0,op(op(e0,e0),e0)) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ86_spl
| ~ sQ3_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f165,f529,f219,f533]) ).
fof(f537,definition,
( sQ87_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ87_spl
| e2 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ87_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ70_spl
| ~ sQ20_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f167,f537,f275,f472]) ).
fof(f541,definition,
( sQ88_spl
<=> e0 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f545,definition,
( sQ89_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ89_spl
| e2 = op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ89_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ77_spl
| ~ sQ60_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f171,f545,f405,f498]) ).
fof(f549,plain,
( ~ sQ84_spl
| ~ sQ61_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f173,f545,f408,f525]) ).
fof(f550,definition,
( sQ90_spl
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ90_spl
| e3 = op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ90_spl
| e3 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f175,f550,f213,f509]) ).
fof(f554,plain,
( ~ sQ86_spl
| ~ sQ2_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f177,f550,f216,f533]) ).
fof(f555,definition,
( sQ91_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ91_spl
| e3 = op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( sQ91_spl
| e3 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f179,f555,f275,f476]) ).
fof(f559,plain,
( ~ sQ88_spl
| ~ sQ22_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f181,f555,f281,f541]) ).
fof(f560,definition,
( sQ92_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ92_spl
| e3 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ92_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ74_spl
| ~ sQ40_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f183,f560,f340,f487]) ).
fof(f564,plain,
( ~ sQ82_spl
| ~ sQ41_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f185,f560,f343,f517]) ).
fof(f565,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f568,definition,
( sQ94_spl
<=> op(op(e0,e2),op(e0,e2)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ94_spl
| op(op(e0,e2),op(e0,e2)) = e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ94_spl
| op(op(e0,e2),op(e0,e2)) != e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ94_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f189,f450,f565,f568]) ).
fof(f572,definition,
( sQ95_spl
<=> op(op(e1,e2),op(e1,e2)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ95_spl
| op(op(e1,e2),op(e1,e2)) = e1 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( sQ95_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f190,f450,f565,f572]) ).
fof(f576,definition,
( sQ96_spl
<=> op(op(e2,e2),op(e2,e2)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ96_spl
| op(op(e2,e2),op(e2,e2)) = e2 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ96_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f191,f450,f565,f576]) ).
fof(f580,definition,
( sQ97_spl
<=> op(op(e3,e2),op(e3,e2)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ97_spl
| op(op(e3,e2),op(e3,e2)) = e3 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ97_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f192,f450,f565,f580]) ).
fof(f584,plain,
( ~ sQ93_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f193,f450,f565]) ).
fof(f586,definition,
( sQ98_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f589,definition,
( sQ99_spl
<=> op(op(e0,e1),op(e0,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ99_spl
| op(op(e0,e1),op(e0,e1)) = e0 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( sQ99_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f198,f565,f586,f589]) ).
fof(f593,definition,
( sQ100_spl
<=> op(op(e1,e1),op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ100_spl
| op(op(e1,e1),op(e1,e1)) = e1 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ100_spl
| op(op(e1,e1),op(e1,e1)) != e1 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ100_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f199,f565,f586,f593]) ).
fof(f597,definition,
( sQ101_spl
<=> op(op(e2,e1),op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ101_spl
| op(op(e2,e1),op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ101_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f200,f565,f586,f597]) ).
fof(f601,definition,
( sQ102_spl
<=> op(op(e3,e1),op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ102_spl
| op(op(e3,e1),op(e3,e1)) = e3 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ102_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f201,f565,f586,f601]) ).
fof(f605,plain,
( ~ sQ98_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f202,f565,f586]) ).
fof(f607,definition,
( sQ103_spl
<=> op(op(e0,e0),op(e0,e0)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ103_spl
| op(op(e0,e0),op(e0,e0)) = e0 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( sQ103_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f205,f586,f607]) ).
fof(f611,definition,
( sQ104_spl
<=> op(op(e1,e0),op(e1,e0)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ104_spl
| op(op(e1,e0),op(e1,e0)) = e1 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ104_spl
| op(op(e1,e0),op(e1,e0)) != e1 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ104_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f206,f586,f611]) ).
fof(f615,definition,
( sQ105_spl
<=> op(op(e2,e0),op(e2,e0)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ105_spl
| op(op(e2,e0),op(e2,e0)) = e2 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f207,f586,f615]) ).
fof(f619,definition,
( sQ106_spl
<=> op(op(e3,e0),op(e3,e0)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ106_spl
| op(op(e3,e0),op(e3,e0)) = e3 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( sQ106_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f208,f586,f619]) ).
fof(f625,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f124]) ).
fof(f626,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f122]) ).
fof(f627,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f101]) ).
fof(f628,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f100]) ).
fof(f629,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f98]) ).
fof(f634,plain,
( ~ sQ47_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f97]) ).
fof(f637,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f311,f110]) ).
fof(f644,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f95]) ).
fof(f645,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f94]) ).
fof(f646,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f402,f92]) ).
fof(f648,plain,
( ~ sQ55_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f389,f89]) ).
fof(f649,plain,
( ~ sQ55_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f389,f88]) ).
fof(f651,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f376,f83]) ).
fof(f654,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f363,f360]) ).
fof(f655,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f131]) ).
fof(f656,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f311,f308]) ).
fof(f658,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f131]) ).
fof(f659,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f259,f256]) ).
fof(f661,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f131]) ).
fof(f662,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f663,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f402,f399]) ).
fof(f664,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f131]) ).
fof(f665,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f664]) ).
fof(f666,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f389,f386]) ).
fof(f667,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f131]) ).
fof(f668,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f376,f373]) ).
fof(f670,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f131]) ).
fof(f671,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f357,f354]) ).
fof(f673,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f126]) ).
fof(f674,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f305,f302]) ).
fof(f676,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f126]) ).
fof(f677,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f253,f250]) ).
fof(f679,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f126]) ).
fof(f680,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f396,f393]) ).
fof(f682,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f126]) ).
fof(f683,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f383,f380]) ).
fof(f685,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f126]) ).
fof(f686,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f370,f367]) ).
fof(f688,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f126]) ).
fof(f689,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f694,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f246,f105]) ).
fof(f699,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f337,f87]) ).
fof(f704,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f298,f295]) ).
fof(f705,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f131]) ).
fof(f706,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f246,f243]) ).
fof(f708,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f131]) ).
fof(f709,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f337,f334]) ).
fof(f711,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f131]) ).
fof(f712,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f321]) ).
fof(f714,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f131]) ).
fof(f715,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f292,f289]) ).
fof(f717,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f126]) ).
fof(f718,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f240,f237]) ).
fof(f720,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f126]) ).
fof(f721,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f331,f328]) ).
fof(f723,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f722,f126]) ).
fof(f724,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f318,f315]) ).
fof(f726,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f126]) ).
fof(f727,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f233,f84]) ).
fof(f730,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f272,f108]) ).
fof(f731,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f272,f78]) ).
fof(f732,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f233,f230]) ).
fof(f733,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f131]) ).
fof(f734,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f272,f269]) ).
fof(f736,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f131]) ).
fof(f737,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f227,f224]) ).
fof(f739,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f126]) ).
fof(f740,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f263]) ).
fof(f742,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f126]) ).
fof(f743,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f796,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f625,f388,f414]) ).
fof(f797,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f626,f375,f414]) ).
fof(f798,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f627,f362,f414]) ).
fof(f799,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f629,f258,f414]) ).
fof(f800,plain,
( ~ sQ42_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f347,f119]) ).
fof(f814,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f211,f104]) ).
fof(f815,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f347,f95]) ).
fof(f819,plain,
( ~ sQ45_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f97]) ).
fof(f822,plain,
( ~ sQ45_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f118]) ).
fof(f826,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f94]) ).
fof(f828,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f121]) ).
fof(f829,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f396,f123]) ).
fof(f832,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f279,f111]) ).
fof(f834,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f211,f103]) ).
fof(f835,plain,
( ~ sQ42_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f347,f91]) ).
fof(f837,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f87]) ).
fof(f841,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f634,f258,f362]) ).
fof(f842,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f357,f363]) ).
fof(f843,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f130]) ).
fof(f844,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ24_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f289,f90]) ).
fof(f847,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f289,f109]) ).
fof(f851,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f834]) ).
fof(f852,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f856,plain,
( ~ sQ32_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f315,f83]) ).
fof(f857,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| op(op(e2,e0),e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f315,f616]) ).
fof(f861,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f230,f102]) ).
fof(f864,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f230,f86]) ).
fof(f865,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f230,f106]) ).
fof(f869,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| op(op(e1,e0),e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f269,f612]) ).
fof(f874,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f230,f224]) ).
fof(f875,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f874,f127]) ).
fof(f876,plain,
( ~ sQ4_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f879,plain,
( ~ sQ65_spl
| ~ sQ13_spl
| op(op(e0,e3),e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f253,f454]) ).
fof(f882,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| op(op(e1,e3),e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f302,f458]) ).
fof(f884,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f269,f263]) ).
fof(f885,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f127]) ).
fof(f886,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| op(op(e3,e0),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f370,f620]) ).
fof(f893,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f828,f369,f395]) ).
fof(f897,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f637,f271,f310]) ).
fof(f899,plain,
( ~ sQ37_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f837]) ).
fof(f900,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f835]) ).
fof(f902,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| op(e2,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f360,f462]) ).
fof(f904,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f360,f903]) ).
fof(f908,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f315,f116]) ).
fof(f910,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f360,f118]) ).
fof(f913,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f396,f125]) ).
fof(f914,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f380,f124]) ).
fof(f917,plain,
( ~ sQ41_spl
| ~ sQ67_spl
| ~ sQ46_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f904,f344]) ).
fof(f918,plain,
( ~ sQ41_spl
| ~ sQ67_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f129]) ).
fof(f919,plain,
( ~ sQ41_spl
| ~ sQ67_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f282,f276]) ).
fof(f921,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f920,f127]) ).
fof(f922,plain,
( ~ sQ20_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f921]) ).
fof(f923,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f220,f217]) ).
fof(f924,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f923,f131]) ).
fof(f925,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( ~ sQ61_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f913]) ).
fof(f927,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f214,f79]) ).
fof(f935,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(e1,op(e0,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f214,f608]) ).
fof(f936,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f214,f935]) ).
fof(f939,plain,
( sQ80_spl
| ~ sQ1_spl
| e2 != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f214,f511]) ).
fof(f940,plain,
( sQ90_spl
| ~ sQ1_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f214,f552]) ).
fof(f945,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f315,f324]) ).
fof(f946,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f128]) ).
fof(f947,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f910]) ).
fof(f949,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f948]) ).
fof(f951,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f227,f106]) ).
fof(f952,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f227,f86]) ).
fof(f955,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f227,f102]) ).
fof(f959,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f227,f84]) ).
fof(f961,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f285,f87]) ).
fof(f968,plain,
( sQ87_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f285,f539]) ).
fof(f969,plain,
( sQ71_spl
| ~ sQ23_spl
| e2 != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f285,f478]) ).
fof(f974,plain,
( ~ sQ104_spl
| ~ sQ17_spl
| op(op(e1,e0),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f266,f612]) ).
fof(f975,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f266,f110]) ).
fof(f983,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f256,f96]) ).
fof(f984,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(op(e0,e3),e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f256,f454]) ).
fof(f985,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f256,f98]) ).
fof(f990,plain,
( ~ sQ55_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f648,f336,f388]) ).
fof(f991,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f285,f649]) ).
fof(f992,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( ~ sQ60_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f122]) ).
fof(f996,plain,
( sQ89_spl
| ~ sQ60_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f406,f547]) ).
fof(f997,plain,
( sQ77_spl
| ~ sQ60_spl
| e1 != op(e3,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f406,f500]) ).
fof(f998,plain,
( sQ83_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f406,f523]) ).
fof(f1001,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(op(e3,e3),e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f406,f466]) ).
fof(f1006,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f246,f90]) ).
fof(f1011,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| op(e0,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f302,f882]) ).
fof(f1018,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f814,f249,f210]) ).
fof(f1020,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f295,f289]) ).
fof(f1021,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f127]) ).
fof(f1022,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f380,f123]) ).
fof(f1026,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f406,f914]) ).
fof(f1027,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1026]) ).
fof(f1028,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1051,plain,
( ~ sQ0_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f80]) ).
fof(f1057,plain,
( ~ sQ104_spl
| ~ sQ17_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f266,f974]) ).
fof(f1066,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f822,f330,f356]) ).
fof(f1076,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| op(op(e2,e0),e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f324,f616]) ).
fof(f1080,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f324,f115]) ).
fof(f1084,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f302,f311]) ).
fof(f1085,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f128]) ).
fof(f1086,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1085]) ).
fof(f1088,plain,
( ~ sQ40_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f341,f95]) ).
fof(f1090,plain,
( sQ92_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f341,f562]) ).
fof(f1092,plain,
( sQ81_spl
| ~ sQ40_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f341,f515]) ).
fof(f1094,plain,
( ~ sQ40_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f117]) ).
fof(f1096,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f240,f90]) ).
fof(f1098,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f240,f91]) ).
fof(f1100,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f240,f107]) ).
fof(f1103,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f93]) ).
fof(f1109,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f256,f984]) ).
fof(f1110,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f1096]) ).
fof(f1111,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f233,f106]) ).
fof(f1116,plain,
( ~ sQ7_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f233,f85]) ).
fof(f1118,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f211,f102]) ).
fof(f1120,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f694,f232,f245]) ).
fof(f1125,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1006,f297,f245]) ).
fof(f1127,plain,
( ~ sQ62_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f985]) ).
fof(f1128,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f951,f252,f226]) ).
fof(f1132,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f211,f78]) ).
fof(f1133,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f308,f110]) ).
fof(f1134,plain,
( ~ sQ30_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f308,f112]) ).
fof(f1135,plain,
( ~ sQ30_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f308,f113]) ).
fof(f1139,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f308,f100]) ).
fof(f1142,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f354,f363]) ).
fof(f1143,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f128]) ).
fof(f1144,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1149,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f321,f81]) ).
fof(f1150,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f845,f236,f288]) ).
fof(f1158,plain,
( ~ sQ105_spl
| ~ sQ34_spl
| op(e2,op(e2,e0)) = e2 ),
inference(forward_demodulation,[status(thm)],[f321,f616]) ).
fof(f1161,plain,
( ~ sQ105_spl
| ~ sQ34_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f321,f1158]) ).
fof(f1163,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f321,f114]) ).
fof(f1164,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f321,f115]) ).
fof(f1165,plain,
( ~ sQ34_spl
| ~ sQ105_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1161,f1164]) ).
fof(f1166,plain,
( ~ sQ34_spl
| ~ sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1165]) ).
fof(f1167,plain,
( ~ sQ34_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f344,f93]) ).
fof(f1170,plain,
( sQ72_spl
| ~ sQ41_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f344,f482]) ).
fof(f1171,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f344,f117]) ).
fof(f1173,plain,
( sQ92_spl
| ~ sQ41_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f344,f562]) ).
fof(f1176,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f730,f284,f271]) ).
fof(f1177,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f731,f219,f271]) ).
fof(f1179,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(op(e1,e0),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f272,f612]) ).
fof(f1182,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f864,f385,f229]) ).
fof(f1187,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f230,f85]) ).
fof(f1192,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1135,f294,f307]) ).
fof(f1194,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f347]) ).
fof(f1195,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1194,f129]) ).
fof(f1196,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f800,f359,f346]) ).
fof(f1198,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f815,f398,f346]) ).
fof(f1203,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f123]) ).
fof(f1204,plain,
( ~ sQ58_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f121]) ).
fof(f1208,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f250,f97]) ).
fof(f1209,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f250,f107]) ).
fof(f1214,plain,
( sQ85_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f214,f531]) ).
fof(f1219,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f214,f103]) ).
fof(f1225,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f936,f275,f213,f607]) ).
fof(f1227,plain,
( sQ90_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f940,f271,f213,f550]) ).
fof(f1228,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f929,f317,f213]) ).
fof(f1248,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f272,f263]) ).
fof(f1249,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1248,f128]) ).
fof(f1250,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( sQ81_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1092,f239,f340,f513]) ).
fof(f1253,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f91]) ).
fof(f1254,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1103,f288,f340]) ).
fof(f1256,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f383,f88]) ).
fof(f1257,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f373,f367]) ).
fof(f1258,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1257,f127]) ).
fof(f1259,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1258]) ).
fof(f1260,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1116,f336,f232]) ).
fof(f1261,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1112,f258,f232]) ).
fof(f1262,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f354,f118]) ).
fof(f1272,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1100,f252,f239]) ).
fof(f1273,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1098,f343,f239]) ).
fof(f1274,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f240,f243]) ).
fof(f1275,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f129]) ).
fof(f1276,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1286,plain,
( ~ sQ104_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1057,f278,f265,f611]) ).
fof(f1287,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f975,f304,f265]) ).
fof(f1296,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1149,f268,f320]) ).
fof(f1302,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1163,f333,f320]) ).
fof(f1306,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| op(op(e1,e3),e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f308,f458]) ).
fof(f1310,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1139,f411,f307]) ).
fof(f1311,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1133,f268,f307]) ).
fof(f1315,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1171,f330,f343]) ).
fof(f1317,plain,
( sQ92_spl
| ~ sQ41_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1173,f297,f343,f560]) ).
fof(f1323,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f344,f95]) ).
fof(f1330,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f88]) ).
fof(f1332,plain,
( sQ71_spl
| ~ sQ20_spl
| e2 != op(e1,op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f276,f478]) ).
fof(f1334,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f276,f84]) ).
fof(f1337,plain,
( sQ87_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f539]) ).
fof(f1338,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f557]) ).
fof(f1339,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f344,f119]) ).
fof(f1343,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f856,f366,f314]) ).
fof(f1344,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f321,f315]) ).
fof(f1345,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f127]) ).
fof(f1346,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( ~ sQ10_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f243,f103]) ).
fof(f1351,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f243,f105]) ).
fof(f1354,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1256,f278,f382]) ).
fof(f1355,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f383,f124]) ).
fof(f1356,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f383,f120]) ).
fof(f1358,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f383,f89]) ).
fof(f1373,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f227,f85]) ).
fof(f1375,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f959,f278,f226]) ).
fof(f1377,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f952,f382,f226]) ).
fof(f1383,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f832,f291,f278]) ).
fof(f1393,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f402,f125]) ).
fof(f1395,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f402,f393]) ).
fof(f1396,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1395,f128]) ).
fof(f1397,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1396]) ).
fof(f1403,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f220,f211]) ).
fof(f1404,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1403,f128]) ).
fof(f1405,plain,
( ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1406,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1051,f366,f210]) ).
fof(f1407,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1118,f223,f210]) ).
fof(f1410,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(op(e0,e3),e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f256,f454]) ).
fof(f1411,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f256,f97]) ).
fof(f1426,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f99]) ).
fof(f1433,plain,
( ~ sQ14_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f256,f107]) ).
fof(f1435,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f994,f366,f405]) ).
fof(f1436,plain,
( sQ89_spl
| ~ sQ60_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f996,f255,f405,f545]) ).
fof(f1437,plain,
( sQ83_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f998,f252,f405,f521]) ).
fof(f1439,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f125]) ).
fof(f1440,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f406,f100]) ).
fof(f1446,plain,
( sQ76_spl
| ~ sQ60_spl
| e2 != op(e3,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f406,f496]) ).
fof(f1451,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ14_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f256,f997]) ).
fof(f1453,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1455,f103]) ).
fof(f1455,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f406,f1001]) ).
fof(f1457,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1323,f395,f343]) ).
fof(f1458,plain,
( ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ14_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1109,f344]) ).
fof(f1459,plain,
( ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1458,f126]) ).
fof(f1460,plain,
( ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1459]) ).
fof(f1461,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f233,f102]) ).
fof(f1467,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f729,f284,f232]) ).
fof(f1473,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1011,f104]) ).
fof(f1475,plain,
( sQ80_spl
| ~ sQ66_spl
| ~ sQ28_spl
| e2 != op(e0,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f1011,f511]) ).
fof(f1480,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f302,f110]) ).
fof(f1491,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f651,f323,f375]) ).
fof(f1496,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f376,f122]) ).
fof(f1497,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| op(e3,op(e3,e0)) = e3 ),
inference(forward_demodulation,[status(thm)],[f376,f620]) ).
fof(f1498,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f376,f1497]) ).
fof(f1499,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1498,f1496]) ).
fof(f1500,plain,
( ~ sQ106_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1502,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1253,f236,f340]) ).
fof(f1503,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f350,f341]) ).
fof(f1504,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1503,f128]) ).
fof(f1505,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1504]) ).
fof(f1506,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1219,f239,f213]) ).
fof(f1513,plain,
( ~ sQ37_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f331,f114]) ).
fof(f1515,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1330,f379,f275]) ).
fof(f1517,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1337,f229,f275,f537]) ).
fof(f1558,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f1567,f122]) ).
fof(f1559,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f1567,f98]) ).
fof(f1567,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f272,f1179]) ).
fof(f1571,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f240,f92]) ).
fof(f1584,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f315,f857]) ).
fof(f1585,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f214,f1584]) ).
fof(f1586,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f129]) ).
fof(f1587,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1586]) ).
fof(f1590,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f250,f96]) ).
fof(f1597,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f305,f112]) ).
fof(f1602,plain,
( ~ sQ55_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f120]) ).
fof(f1629,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1571,f395,f239]) ).
fof(f1646,plain,
( sQ85_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f220,f531]) ).
fof(f1654,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| op(op(e0,e0),e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f220,f608]) ).
fof(f1662,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f367,f82]) ).
fof(f1671,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f328,f87]) ).
fof(f1681,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f318,f81]) ).
fof(f1683,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| op(op(e2,e0),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f318,f616]) ).
fof(f1694,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f269,f108]) ).
fof(f1696,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| op(op(e1,e0),e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f269,f612]) ).
fof(f1700,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f269,f869]) ).
fof(f1708,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1426,f310,f362]) ).
fof(f1711,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1694,f281,f268]) ).
fof(f1712,plain,
( sQ77_spl
| ~ sQ60_spl
| ~ sQ14_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1451,f395,f255,f405,f498]) ).
fof(f1716,plain,
( ~ sQ66_spl
| ~ sQ29_spl
| op(e1,op(e1,e3)) = e1 ),
inference(forward_demodulation,[status(thm)],[f305,f458]) ).
fof(f1717,plain,
( ~ sQ66_spl
| ~ sQ29_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f305,f1716]) ).
fof(f1718,plain,
( ~ sQ66_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1717,f1597]) ).
fof(f1719,plain,
( ~ sQ66_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1718]) ).
fof(f1720,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1453,f245,f405,f465]) ).
fof(f1721,plain,
( ~ sQ68_spl
| ~ sQ60_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1455,f219,f405,f465]) ).
fof(f1722,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1439,f392,f405]) ).
fof(f1723,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1440,f301,f405]) ).
fof(f1734,plain,
( sQ69_spl
| ~ sQ23_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f285,f471]) ).
fof(f1736,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f961,f336,f284]) ).
fof(f1737,plain,
( sQ87_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f968,f385,f284,f537]) ).
fof(f1739,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1373,f330,f226]) ).
fof(f1742,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f955,f213,f226]) ).
fof(f1769,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f376,f80]) ).
fof(f1787,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f347,f350]) ).
fof(f1788,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f131]) ).
fof(f1789,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1790,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1262,f327,f353]) ).
fof(f1811,plain,
( sQ89_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f409,f547]) ).
fof(f1818,plain,
( ~ sQ101_spl
| ~ sQ39_spl
| op(op(e2,e1),e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f337,f598]) ).
fof(f1820,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| op(e1,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f466]) ).
fof(f1821,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f1820]) ).
fof(f1822,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f699]) ).
fof(f1823,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1828,plain,
( sQ75_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f409,f493]) ).
fof(f1831,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f409,f122]) ).
fof(f1854,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1187,f333,f229]) ).
fof(f1855,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f861,f216,f229]) ).
fof(f1857,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f865,f255,f229]) ).
fof(f1874,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1024,f392,f379]) ).
fof(f1876,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f89]) ).
fof(f1881,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| op(op(e3,e1),e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f380,f602]) ).
fof(f1883,plain,
( ~ sQ87_spl
| ~ sQ21_spl
| e2 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f279,f538]) ).
fof(f1884,plain,
( ~ sQ87_spl
| ~ sQ21_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f279,f1883]) ).
fof(f1885,plain,
( ~ sQ87_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f129]) ).
fof(f1886,plain,
( ~ sQ87_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1888,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1094,f327,f340]) ).
fof(f1893,plain,
( sQ73_spl
| ~ sQ40_spl
| e3 != op(e2,op(e0,e2)) ),
inference(backward_demodulation,[status(thm)],[f341,f485]) ).
fof(f1900,plain,
( sQ92_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1090,f245,f340,f560]) ).
fof(f1902,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f256,f1410]) ).
fof(f1906,plain,
( ~ sQ14_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f256,f104]) ).
fof(f1908,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f983,f307,f255]) ).
fof(f1913,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1203,f385,f398]) ).
fof(f1916,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f399,f94]) ).
fof(f1918,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| op(op(e3,e2),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f399,f581]) ).
fof(f1942,plain,
( sQ90_spl
| ~ sQ2_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f217,f552]) ).
fof(f1946,plain,
( sQ78_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f217,f504]) ).
fof(f1949,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1811,f307,f408,f545]) ).
fof(f1953,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1734,f379,f284,f469]) ).
fof(f1973,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f318,f116]) ).
fof(f1981,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| op(e3,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f363,f462]) ).
fof(f1982,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f363,f1981]) ).
fof(f1983,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ61_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f409,f1982]) ).
fof(f1984,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1983,f129]) ).
fof(f1985,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1984]) ).
fof(f1989,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1876,f327,f379]) ).
fof(f1990,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f380,f1881]) ).
fof(f1991,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f217,f1990]) ).
fof(f1992,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1991,f131]) ).
fof(f1993,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1992]) ).
fof(f1997,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1671,f275,f327]) ).
fof(f2012,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f829,f382,f395]) ).
fof(f2013,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f826,f291,f395]) ).
fof(f2020,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f644,f349,f401]) ).
fof(f2021,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f645,f297,f401]) ).
fof(f2023,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1393,f414,f401]) ).
fof(f2024,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f396,f402]) ).
fof(f2025,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2024,f130]) ).
fof(f2026,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2025]) ).
fof(f2028,plain,
( sQ76_spl
| ~ sQ89_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f496]) ).
fof(f2033,plain,
( sQ73_spl
| ~ sQ92_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f561,f485]) ).
fof(f2037,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1461,f219,f232]) ).
fof(f2050,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(op(e2,e2),e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f350,f577]) ).
fof(f2060,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f628,f310,f414]) ).
fof(f2061,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1334,f223,f275]) ).
fof(f2062,plain,
( sQ91_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1338,f232,f275,f555]) ).
fof(f2079,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f233,f1332]) ).
fof(f2083,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1355,f408,f382]) ).
fof(f2084,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1356,f369,f382]) ).
fof(f2086,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1358,f330,f382]) ).
fof(f2093,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f233,f224]) ).
fof(f2094,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2093,f128]) ).
fof(f2095,plain,
( ~ sQ4_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2098,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1513,f317,f330]) ).
fof(f2114,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f373,f80]) ).
fof(f2153,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f409,f98]) ).
fof(f2167,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f380,f969]) ).
fof(f2186,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f347,f93]) ).
fof(f2192,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f646,f245,f401]) ).
fof(f2211,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1132,f262,f210]) ).
fof(f2213,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f240,f246]) ).
fof(f2214,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2213,f130]) ).
fof(f2215,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2214]) ).
fof(f2220,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1681,f265,f317]) ).
fof(f2221,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1973,f356,f317]) ).
fof(f2222,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1080,f349,f323]) ).
fof(f2223,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f318,f324]) ).
fof(f2224,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f130]) ).
fof(f2225,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2226,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1646,f372,f219,f529]) ).
fof(f2228,plain,
( sQ73_spl
| ~ sQ92_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2033,f362,f560,f483]) ).
fof(f2233,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f328,f114]) ).
fof(f2260,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f237,f92]) ).
fof(f2269,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1351,f229,f242]) ).
fof(f2270,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f237,f243]) ).
fof(f2271,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2270,f127]) ).
fof(f2272,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2273,plain,
( ~ sQ101_spl
| ~ sQ36_spl
| op(e0,op(e2,e1)) = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f598]) ).
fof(f2274,plain,
( ~ sQ101_spl
| ~ sQ36_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f2273]) ).
fof(f2277,plain,
( ~ sQ89_spl
| ~ sQ60_spl
| e2 = op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f406,f546]) ).
fof(f2283,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1339,f356,f343]) ).
fof(f2284,plain,
( sQ72_spl
| ~ sQ41_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1170,f288,f343,f480]) ).
fof(f2304,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2233,f314,f327]) ).
fof(f2308,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1134,f281,f307]) ).
fof(f2313,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f406,f409]) ).
fof(f2314,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f126]) ).
fof(f2315,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2341,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f266,f109]) ).
fof(f2343,plain,
( sQ76_spl
| ~ sQ89_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2028,f398,f545,f494]) ).
fof(f2344,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1204,f372,f398]) ).
fof(f2346,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1916,f294,f398]) ).
fof(f2369,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f399,f396]) ).
fof(f2370,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2369,f129]) ).
fof(f2371,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2370]) ).
fof(f2388,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f253,f96]) ).
fof(f2389,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f253,f98]) ).
fof(f2402,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2114,f216,f372]) ).
fof(f2409,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1831,f369,f408]) ).
fof(f2411,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2153,f252,f408]) ).
fof(f2417,plain,
( sQ75_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1828,f301,f408,f491]) ).
fof(f2437,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1906,f216,f255]) ).
fof(f2439,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f253,f256]) ).
fof(f2440,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2439,f129]) ).
fof(f2441,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2440]) ).
fof(f2444,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2186,f294,f346]) ).
fof(f2454,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f253,f104]) ).
fof(f2476,plain,
( sQ71_spl
| ~ sQ23_spl
| ~ sQ52_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2167,f268,f379,f284,f476]) ).
fof(f2536,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2341,f291,f265]) ).
fof(f2547,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| op(e2,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f230,f590]) ).
fof(f2549,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f230,f2547]) ).
fof(f2550,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e3,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f285,f594]) ).
fof(f2551,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f285,f2550]) ).
fof(f2552,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f2389]) ).
fof(f2553,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2562,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f399,f125]) ).
fof(f2601,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f220,f79]) ).
fof(f2604,plain,
( sQ78_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f220,f504]) ).
fof(f2663,plain,
( sQ79_spl
| ~ sQ3_spl
| e3 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f220,f507]) ).
fof(f2664,plain,
( sQ79_spl
| ~ sQ3_spl
| ~ sQ48_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f367,f2663]) ).
fof(f2665,plain,
( sQ79_spl
| ~ sQ3_spl
| ~ sQ48_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f220,f2664]) ).
fof(f2666,plain,
( sQ79_spl
| ~ sQ3_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2665]) ).
fof(f2667,plain,
( sQ79_spl
| ~ sQ3_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2666]) ).
fof(f2675,plain,
( ~ sQ65_spl
| ~ sQ13_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f253,f879]) ).
fof(f2679,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1473,f252,f301,f457]) ).
fof(f2680,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f1011,f78]) ).
fof(f2684,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| op(e2,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f360,f462]) ).
fof(f2685,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f360,f2684]) ).
fof(f2686,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| ~ sQ43_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f2685]) ).
fof(f2687,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2686,f131]) ).
fof(f2688,plain,
( ~ sQ67_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2701,plain,
( sQ70_spl
| ~ sQ22_spl
| e3 != op(e1,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f282,f474]) ).
fof(f2705,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f282,f87]) ).
fof(f2712,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1088,f392,f340]) ).
fof(f2735,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(e2,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f341,f489]) ).
fof(f2748,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f337,f114]) ).
fof(f2756,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f337,f331]) ).
fof(f2757,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2756,f130]) ).
fof(f2758,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2761,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1480,f262,f301]) ).
fof(f2768,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1169,f291,f343]) ).
fof(f2799,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f2454]) ).
fof(f2800,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2833,plain,
( sQ71_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2079,f307,f232,f275,f476]) ).
fof(f2861,plain,
( sQ78_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1946,f317,f216,f502]) ).
fof(f2869,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f217,f79]) ).
fof(f2916,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f1683]) ).
fof(f2917,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f276,f2916]) ).
fof(f2918,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2917,f127]) ).
fof(f2919,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2918]) ).
fof(f2934,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1208,f353,f249]) ).
fof(f2940,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1209,f236,f249]) ).
fof(f2959,plain,
( sQ74_spl
| ~ sQ40_spl
| e1 != op(e2,op(e0,e2)) ),
inference(backward_demodulation,[status(thm)],[f341,f489]) ).
fof(f2980,plain,
( ~ sQ105_spl
| ~ sQ33_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2916,f281,f317,f615]) ).
fof(f2987,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f230,f84]) ).
fof(f3022,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f246,f2735]) ).
fof(f3077,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2551,f408,f284,f593]) ).
fof(f3087,plain,
( sQ85_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1214,f268,f213,f529]) ).
fof(f3149,plain,
( ~ sQ18_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f269,f109]) ).
fof(f3188,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f224,f86]) ).
fof(f3247,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3188,f379,f223]) ).
fof(f3255,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f847,f262,f288]) ).
fof(f3266,plain,
( sQ79_spl
| ~ sQ1_spl
| e3 != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f214,f507]) ).
fof(f3269,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1821,f284,f408,f465]) ).
fof(f3278,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f276,f111]) ).
fof(f3298,plain,
( sQ79_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f269,f3266]) ).
fof(f3303,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3149,f294,f268]) ).
fof(f3310,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f908,f353,f314]) ).
fof(f3348,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f233,f86]) ).
fof(f3361,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2260,f392,f236]) ).
fof(f3428,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f308,f1306]) ).
fof(f3429,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| ~ sQ43_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f350,f3428]) ).
fof(f3430,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3429,f130]) ).
fof(f3431,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3467,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f289,f113]) ).
fof(f3639,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| op(e3,op(e0,e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f246,f569]) ).
fof(f3640,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f246,f3639]) ).
fof(f3641,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| ~ sQ63_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f415,f3640]) ).
fof(f3642,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3641,f128]) ).
fof(f3643,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3642]) ).
fof(f3654,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3467,f301,f288]) ).
fof(f3664,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2869,f320,f216]) ).
fof(f3665,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f214,f217]) ).
fof(f3666,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3665,f129]) ).
fof(f3667,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3666]) ).
fof(f3678,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f269,f78]) ).
fof(f3726,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f250,f98]) ).
fof(f3729,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f412,f124]) ).
fof(f3774,plain,
( ~ sQ94_spl
| ~ sQ9_spl
| op(e1,op(e0,e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f240,f569]) ).
fof(f3775,plain,
( ~ sQ94_spl
| ~ sQ9_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f240,f3774]) ).
fof(f3782,plain,
( sQ78_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2604,f369,f219,f502]) ).
fof(f3806,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f393,f94]) ).
fof(f3819,plain,
( sQ67_spl
| ~ sQ47_spl
| op(e3,op(e2,e3)) != e2 ),
inference(forward_demodulation,[status(thm)],[f363,f463]) ).
fof(f3820,plain,
( sQ67_spl
| ~ sQ47_spl
| op(e3,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f363,f3819]) ).
fof(f3821,plain,
( sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f412,f3820]) ).
fof(f3822,plain,
( sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3821]) ).
fof(f3823,plain,
( sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3822]) ).
fof(f3842,plain,
( sQ70_spl
| ~ sQ20_spl
| e3 != op(e1,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f276,f474]) ).
fof(f3843,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ6_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f230,f3842]) ).
fof(f3848,plain,
( ~ sQ27_spl
| sQ70_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f3843]) ).
fof(f3849,plain,
( ~ sQ27_spl
| sQ70_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3848]) ).
fof(f3881,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3806,f288,f392]) ).
fof(f3884,plain,
( sQ80_spl
| ~ sQ3_spl
| e2 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f220,f511]) ).
fof(f3885,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ49_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f370,f3884]) ).
fof(f3886,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f230,f3885]) ).
fof(f3887,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3886]) ).
fof(f3888,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ49_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3887]) ).
fof(f3893,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f350,f119]) ).
fof(f4026,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f220,f104]) ).
fof(f4059,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e0,op(e1,e1)) = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f594]) ).
fof(f4060,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f4059]) ).
fof(f4061,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f220,f4060]) ).
fof(f4062,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4061,f130]) ).
fof(f4063,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4062]) ).
fof(f4076,plain,
( sQ76_spl
| ~ sQ61_spl
| e2 != op(e3,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f409,f496]) ).
fof(f4080,plain,
( sQ66_spl
| ~ sQ31_spl
| op(e3,op(e1,e3)) != e1 ),
inference(forward_demodulation,[status(thm)],[f311,f459]) ).
fof(f4081,plain,
( sQ66_spl
| ~ sQ31_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f311,f4080]) ).
fof(f4082,plain,
( sQ66_spl
| ~ sQ31_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f409,f4081]) ).
fof(f4083,plain,
( sQ66_spl
| ~ sQ31_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4082]) ).
fof(f4084,plain,
( sQ66_spl
| ~ sQ31_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4083]) ).
fof(f4102,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| op(e0,op(e0,e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f237,f569]) ).
fof(f4103,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f237,f4102]) ).
fof(f4104,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f220,f4103]) ).
fof(f4105,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4104,f128]) ).
fof(f4106,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4105]) ).
fof(f4108,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2562,f411,f398]) ).
fof(f4121,plain,
( ~ sQ94_spl
| ~ sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4103,f210,f236,f568]) ).
fof(f4122,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f4060,f213,f275,f593]) ).
fof(f4123,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1602,f375,f388]) ).
fof(f4127,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3678,f216,f268]) ).
fof(f4142,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3348,f388,f232]) ).
fof(f4169,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2388,f304,f252]) ).
fof(f4174,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3893,f362,f349]) ).
fof(f4183,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f1982]) ).
fof(f4184,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4183,f127]) ).
fof(f4185,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4184]) ).
fof(f4210,plain,
( sQ100_spl
| ~ sQ23_spl
| op(e3,op(e1,e1)) != e1 ),
inference(forward_demodulation,[status(thm)],[f285,f595]) ).
fof(f4211,plain,
( sQ100_spl
| ~ sQ23_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f285,f4210]) ).
fof(f4214,plain,
( ~ sQ94_spl
| ~ sQ9_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3775,f275,f239,f568]) ).
fof(f4221,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f220,f80]) ).
fof(f4233,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1411,f359,f255]) ).
fof(f4236,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1662,f262,f366]) ).
fof(f4288,plain,
( ~ sQ95_spl
| ~ sQ26_spl
| op(e2,op(e1,e2)) = e1 ),
inference(forward_demodulation,[status(thm)],[f295,f573]) ).
fof(f4289,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| ~ sQ26_spl
| op(op(e2,e2),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f4291,f577]) ).
fof(f4291,plain,
( ~ sQ95_spl
| ~ sQ26_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f295,f4288]) ).
fof(f4319,plain,
( sQ90_spl
| ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1942,f323,f216,f550]) ).
fof(f4354,plain,
( ~ sQ40_spl
| ~ sQ95_spl
| ~ sQ26_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f4291,f341]) ).
fof(f4355,plain,
( ~ sQ40_spl
| ~ sQ95_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4354,f126]) ).
fof(f4356,plain,
( ~ sQ40_spl
| ~ sQ95_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4355]) ).
fof(f4358,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f240,f2959]) ).
fof(f4362,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ9_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f240,f1893]) ).
fof(f4372,plain,
( ~ sQ37_spl
| sQ74_spl
| ~ sQ40_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f4358]) ).
fof(f4373,plain,
( ~ sQ37_spl
| sQ74_spl
| ~ sQ40_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4372]) ).
fof(f4450,plain,
( sQ100_spl
| ~ sQ23_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4211,f408,f284,f593]) ).
fof(f4459,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2680,f265,f301,f457]) ).
fof(f4460,plain,
( ~ sQ66_spl
| ~ sQ28_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1011,f213,f301,f457]) ).
fof(f4466,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f1590]) ).
fof(f4467,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4466]) ).
fof(f4468,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f295,f111]) ).
fof(f4477,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3726,f405,f249]) ).
fof(f4510,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| e3 = op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f214,f551]) ).
fof(f4535,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f272,f939]) ).
fof(f4602,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f350,f117]) ).
fof(f4604,plain,
( sQ72_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f350,f482]) ).
fof(f4610,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f2050]) ).
fof(f4611,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4610,f413]) ).
fof(f4612,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4611]) ).
fof(f4658,plain,
( ~ sQ95_spl
| ~ sQ24_spl
| op(e0,op(e1,e2)) = e1 ),
inference(forward_demodulation,[status(thm)],[f289,f573]) ).
fof(f4659,plain,
( ~ sQ95_spl
| ~ sQ24_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f289,f4658]) ).
fof(f4665,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| op(e2,op(e0,e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f243,f569]) ).
fof(f4666,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f243,f4665]) ).
fof(f4667,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f350,f4666]) ).
fof(f4668,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4667,f128]) ).
fof(f4669,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4668]) ).
fof(f4687,plain,
( sQ69_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f282,f471]) ).
fof(f4689,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f282,f557]) ).
fof(f4768,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f370,f888]) ).
fof(f4769,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f282,f4768]) ).
fof(f4770,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4769,f131]) ).
fof(f4771,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4770]) ).
fof(f4803,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4221,f375,f219]) ).
fof(f4809,plain,
( sQ86_spl
| ~ sQ3_spl
| e1 != op(e0,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f220,f535]) ).
fof(f4839,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2549,f340,f229,f589]) ).
fof(f4857,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4602,f336,f349]) ).
fof(f4871,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f269,f266]) ).
fof(f4872,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4871,f129]) ).
fof(f4873,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4872]) ).
fof(f4893,plain,
( sQ86_spl
| ~ sQ2_spl
| e1 != op(e0,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f217,f535]) ).
fof(f4928,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3428,f343,f307,f457]) ).
fof(f4978,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ35_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f324,f4893]) ).
fof(f5008,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| op(e1,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f462]) ).
fof(f5009,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f5008]) ).
fof(f5010,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f279,f5009]) ).
fof(f5011,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5010,f129]) ).
fof(f5012,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f5011]) ).
fof(f5071,plain,
( sQ74_spl
| ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3022,f356,f245,f340,f487]) ).
fof(f5167,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| op(e0,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f341,f577]) ).
fof(f5168,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f341,f5167]) ).
fof(f5169,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f214,f5168]) ).
fof(f5170,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5169,f129]) ).
fof(f5171,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5170]) ).
fof(f5183,plain,
( ~ sQ94_spl
| ~ sQ11_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3640,f405,f245,f568]) ).
fof(f5235,plain,
( sQ86_spl
| ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4978,f252,f323,f216,f533]) ).
fof(f5250,plain,
( ~ sQ65_spl
| ~ sQ13_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2675,f275,f252,f453]) ).
fof(f5267,plain,
( ~ sQ66_spl
| ~ sQ31_spl
| op(op(e1,e3),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f311,f458]) ).
fof(f5309,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| op(e2,op(e3,e3)) = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f466]) ).
fof(f5310,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f5309]) ).
fof(f5311,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f344,f5310]) ).
fof(f5312,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5311,f130]) ).
fof(f5313,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5312]) ).
fof(f5340,plain,
( sQ79_spl
| ~ sQ2_spl
| e3 != op(e0,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f217,f507]) ).
fof(f5389,plain,
( sQ66_spl
| ~ sQ28_spl
| op(e0,op(e1,e3)) != e1 ),
inference(forward_demodulation,[status(thm)],[f302,f459]) ).
fof(f5390,plain,
( sQ66_spl
| ~ sQ28_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f302,f5389]) ).
fof(f5429,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1558,f369,f271,f611]) ).
fof(f5430,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1559,f252,f271,f611]) ).
fof(f5434,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1567,f408,f271,f611]) ).
fof(f5464,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e3,op(e1,e0)) = e1 ),
inference(forward_demodulation,[status(thm)],[f272,f612]) ).
fof(f5465,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e3,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f272,f5464]) ).
fof(f5466,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f412,f5465]) ).
fof(f5467,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5466,f129]) ).
fof(f5468,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f5467]) ).
fof(f5469,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| op(e0,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f224,f590]) ).
fof(f5470,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f224,f5469]) ).
fof(f5471,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f217,f5470]) ).
fof(f5472,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5471,f127]) ).
fof(f5473,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5472]) ).
fof(f5482,plain,
( sQ104_spl
| ~ sQ19_spl
| op(e3,op(e1,e0)) != e1 ),
inference(forward_demodulation,[status(thm)],[f272,f613]) ).
fof(f5483,plain,
( sQ104_spl
| ~ sQ19_spl
| op(e3,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f272,f5482]) ).
fof(f5484,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e3,op(e3,e1)) = e3 ),
inference(forward_demodulation,[status(thm)],[f389,f602]) ).
fof(f5486,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f389,f5484]) ).
fof(f5487,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| op(e2,op(e2,e1)) = e2 ),
inference(forward_demodulation,[status(thm)],[f334,f598]) ).
fof(f5488,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f334,f5487]) ).
fof(f5489,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f5488]) ).
fof(f5490,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5489,f129]) ).
fof(f5491,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5490]) ).
fof(f5492,plain,
( ~ sQ99_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5470,f210,f223,f589]) ).
fof(f5493,plain,
( sQ66_spl
| ~ sQ28_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f5390,f213,f301,f457]) ).
fof(f5505,plain,
( sQ76_spl
| ~ sQ61_spl
| ~ sQ28_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f302,f4076]) ).
fof(f5539,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4535,f255,f271,f213,f509]) ).
fof(f5598,plain,
( sQ76_spl
| ~ sQ60_spl
| ~ sQ13_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f253,f1446]) ).
fof(f5690,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f399,f1918]) ).
fof(f5691,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f341,f5690]) ).
fof(f5692,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5691,f128]) ).
fof(f5693,plain,
( ~ sQ97_spl
| ~ sQ58_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5692]) ).
fof(f5710,plain,
( sQ76_spl
| ~ sQ60_spl
| ~ sQ13_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5598,f385,f252,f405,f494]) ).
fof(f5731,plain,
( ~ sQ96_spl
| ~ sQ40_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f5168,f216,f340,f576]) ).
fof(f5740,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2601,f323,f219]) ).
fof(f5744,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4026,f258,f219]) ).
fof(f5759,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2748,f323,f336]) ).
fof(f5791,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f373,f4809]) ).
fof(f5799,plain,
( sQ80_spl
| ~ sQ3_spl
| e2 != op(e0,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f220,f511]) ).
fof(f5800,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ50_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f373,f5799]) ).
fof(f5801,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ10_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f243,f5800]) ).
fof(f5802,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5801]) ).
fof(f5803,plain,
( sQ80_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f5802]) ).
fof(f5825,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2705,f333,f281]) ).
fof(f5837,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1348,f216,f242]) ).
fof(f5865,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f272,f81]) ).
fof(f5866,plain,
( sQ104_spl
| ~ sQ19_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5483,f408,f271,f611]) ).
fof(f5917,plain,
( sQ76_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5505,f372,f301,f408,f494]) ).
fof(f5973,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f272,f266]) ).
fof(f5974,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5973,f130]) ).
fof(f5975,plain,
( ~ sQ17_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5974]) ).
fof(f5986,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f5486,f414,f388,f601]) ).
fof(f5989,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e3,op(e3,e1)) = e3 ),
inference(forward_demodulation,[status(thm)],[f389,f602]) ).
fof(f5990,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f389,f5989]) ).
fof(f5991,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f409,f5990]) ).
fof(f5992,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5991,f130]) ).
fof(f5993,plain,
( ~ sQ102_spl
| ~ sQ55_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5992]) ).
fof(f6013,plain,
( sQ79_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3298,f245,f268,f213,f505]) ).
fof(f6043,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ18_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f269,f939]) ).
fof(f6053,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f269,f1696]) ).
fof(f6054,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f341,f6053]) ).
fof(f6055,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6054,f126]) ).
fof(f6056,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6055]) ).
fof(f6078,plain,
( ~ sQ66_spl
| ~ sQ31_spl
| op(e3,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f311,f5267]) ).
fof(f6122,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f389,f383]) ).
fof(f6123,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6122,f130]) ).
fof(f6124,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6123]) ).
fof(f6151,plain,
( sQ80_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f6043,f242,f268,f213,f509]) ).
fof(f6177,plain,
( sQ80_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ18_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f269,f1475]) ).
fof(f6232,plain,
( ~ sQ10_spl
| sQ80_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f6177]) ).
fof(f6233,plain,
( ~ sQ10_spl
| sQ80_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f6232]) ).
fof(f6265,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f360,f101]) ).
fof(f6306,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1990,f219,f379,f601]) ).
fof(f6334,plain,
( sQ94_spl
| ~ sQ10_spl
| op(e2,op(e0,e2)) != e0 ),
inference(forward_demodulation,[status(thm)],[f243,f570]) ).
fof(f6335,plain,
( sQ94_spl
| ~ sQ10_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f243,f6334]) ).
fof(f6336,plain,
( sQ94_spl
| ~ sQ10_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f341,f6335]) ).
fof(f6337,plain,
( sQ94_spl
| ~ sQ10_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6336]) ).
fof(f6338,plain,
( sQ94_spl
| ~ sQ10_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6337]) ).
fof(f6386,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f240,f105]) ).
fof(f6435,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f4768,f284,f369,f619]) ).
fof(f6457,plain,
( ~ sQ104_spl
| ~ sQ16_spl
| op(op(e1,e0),e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f263,f612]) ).
fof(f6477,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f1076]) ).
fof(f6478,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f6477]) ).
fof(f6479,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6478,f127]) ).
fof(f6480,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f6479]) ).
fof(f6590,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f246,f107]) ).
fof(f6623,plain,
( ~ sQ95_spl
| ~ sQ24_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f4659,f213,f288,f572]) ).
fof(f6656,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f577]) ).
fof(f6657,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f6656]) ).
fof(f6658,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f279,f6657]) ).
fof(f6659,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6658,f129]) ).
fof(f6660,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f6659]) ).
fof(f6729,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1902,f340,f255,f453]) ).
fof(f6784,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2987,f281,f229]) ).
fof(f6846,plain,
( ~ sQ104_spl
| ~ sQ16_spl
| op(e0,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f263,f6457]) ).
fof(f6892,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4468,f281,f294]) ).
fof(f6953,plain,
( sQ69_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4687,f327,f281,f469]) ).
fof(f6984,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f5865,f323,f271]) ).
fof(f6993,plain,
( ~ sQ90_spl
| ~ sQ1_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f4510,f81]) ).
fof(f6998,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f6590,f258,f245]) ).
fof(f7015,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3278,f288,f275]) ).
fof(f7027,plain,
( ~ sQ35_spl
| ~ sQ90_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f6993]) ).
fof(f7028,plain,
( ~ sQ35_spl
| ~ sQ90_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f7027]) ).
fof(f7126,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f6265,f411,f359]) ).
fof(f7139,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3729,f385,f411]) ).
fof(f7160,plain,
( ~ sQ101_spl
| ~ sQ36_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2274,f216,f327,f597]) ).
fof(f7182,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f415]) ).
fof(f7183,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7182,f131]) ).
fof(f7184,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f7183]) ).
fof(f7203,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1433,f242,f255]) ).
fof(f7229,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f243,f107]) ).
fof(f7230,plain,
( ~ sQ10_spl
| ~ sQ89_spl
| ~ sQ60_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f2277,f7229]) ).
fof(f7231,plain,
( ~ sQ10_spl
| ~ sQ89_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7230]) ).
fof(f7232,plain,
( ~ sQ10_spl
| ~ sQ89_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f7231]) ).
fof(f7233,plain,
( ~ sQ66_spl
| ~ sQ31_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f6078,f408,f310,f457]) ).
fof(f7234,plain,
( sQ91_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4689,f336,f281,f555]) ).
fof(f7265,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| op(e1,op(e2,e3)) = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f462]) ).
fof(f7266,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f7265]) ).
fof(f7388,plain,
( ~ sQ104_spl
| ~ sQ16_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f6846,f213,f262,f611]) ).
fof(f7509,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| op(e2,op(e0,e0)) = e0 ),
inference(forward_demodulation,[status(thm)],[f217,f608]) ).
fof(f7510,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f217,f7509]) ).
fof(f7511,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| ~ sQ41_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f344,f7510]) ).
fof(f7512,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7511,f126]) ).
fof(f7513,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f7512]) ).
fof(f7610,plain,
( ~ sQ101_spl
| ~ sQ39_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f337,f1818]) ).
fof(f7623,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| op(e2,op(e0,e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f243,f569]) ).
fof(f7624,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f243,f7623]) ).
fof(f7701,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| op(e1,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f227,f590]) ).
fof(f7702,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f227,f7701]) ).
fof(f7703,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ22_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f282,f7702]) ).
fof(f7704,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7703,f127]) ).
fof(f7705,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f7704]) ).
fof(f7760,plain,
( ~ sQ91_spl
| ~ sQ20_spl
| e3 = op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f556]) ).
fof(f7829,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| op(e3,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f233,f590]) ).
fof(f7830,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f233,f7829]) ).
fof(f7831,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f412,f7830]) ).
fof(f7832,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7831,f127]) ).
fof(f7833,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f7832]) ).
fof(f7851,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f334,f89]) ).
fof(f7874,plain,
( ~ sQ94_spl
| ~ sQ10_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f7624,f340,f242,f568]) ).
fof(f7882,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f344,f115]) ).
fof(f7890,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6657,f281,f343,f576]) ).
fof(f7953,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,op(e2,e2)) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f577]) ).
fof(f7954,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f344,f7953]) ).
fof(f7955,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f276,f7954]) ).
fof(f7956,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7955,f127]) ).
fof(f7957,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f7956]) ).
fof(f7991,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| op(e0,op(e3,e2)) = e3 ),
inference(forward_demodulation,[status(thm)],[f393,f581]) ).
fof(f7992,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| op(e0,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f393,f7991]) ).
fof(f7993,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7992,f1769]) ).
fof(f7994,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f7993]) ).
fof(f8000,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f357,f99]) ).
fof(f8144,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f5310,f349,f411,f465]) ).
fof(f8164,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| op(op(e0,e3),e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f259,f454]) ).
fof(f8172,plain,
( ~ sQ67_spl
| ~ sQ45_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f7266,f281,f356,f461]) ).
fof(f8215,plain,
( sQ72_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4604,f392,f349,f480]) ).
fof(f8273,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f8000,f304,f356]) ).
fof(f8307,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f6386,f226,f239]) ).
fof(f8341,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| ~ sQ26_spl
| ~ sQ43_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f4289]) ).
fof(f8342,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| ~ sQ26_spl
| ~ sQ43_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8341,f7851]) ).
fof(f8343,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| ~ sQ26_spl
| ~ sQ43_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f8342]) ).
fof(f8463,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f285,f112]) ).
fof(f8504,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f259,f8164]) ).
fof(f8505,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f409,f8504]) ).
fof(f8506,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8505,f126]) ).
fof(f8507,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f8506]) ).
fof(f8639,plain,
( ~ sQ99_spl
| ~ sQ7_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f7830,f405,f232,f589]) ).
fof(f8652,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ20_spl
| op(e3,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f7760,f590]) ).
fof(f8653,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ20_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f7760,f8652]) ).
fof(f8654,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ20_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f409,f8653]) ).
fof(f8655,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ20_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8654,f126]) ).
fof(f8656,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ20_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f8655]) ).
fof(f8685,plain,
( ~ sQ103_spl
| ~ sQ2_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f7510,f340,f216,f607]) ).
fof(f8686,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f350,f91]) ).
fof(f8734,plain,
( sQ79_spl
| ~ sQ2_spl
| ~ sQ33_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f318,f5340]) ).
fof(f8851,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ36_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f328,f2701]) ).
fof(f8852,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f272,f8851]) ).
fof(f8853,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8852]) ).
fof(f8854,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ36_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f8853]) ).
fof(f8871,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f8686,f245,f349]) ).
fof(f8891,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f8463,f310,f284]) ).
fof(f8923,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| op(e1,op(e0,e1)) = e0 ),
inference(forward_demodulation,[status(thm)],[f227,f590]) ).
fof(f8924,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f227,f8923]) ).
fof(f8925,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ23_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f285,f8924]) ).
fof(f8926,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8925,f128]) ).
fof(f8927,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f8926]) ).
fof(f9065,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| op(op(e3,e1),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f383,f602]) ).
fof(f9085,plain,
( sQ79_spl
| ~ sQ2_spl
| ~ sQ33_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f8734,f232,f317,f216,f505]) ).
fof(f9144,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f383,f9065]) ).
fof(f9145,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f282,f9144]) ).
fof(f9146,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9145,f131]) ).
fof(f9147,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f9146]) ).
fof(f9238,plain,
( ~ sQ102_spl
| ~ sQ53_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f9144,f284,f382,f601]) ).
fof(f9316,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| op(op(e2,e1),e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f334,f598]) ).
fof(f9325,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f5488,f346,f333,f597]) ).
fof(f9377,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f334,f9316]) ).
fof(f9378,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ43_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f350,f9377]) ).
fof(f9379,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9378,f131]) ).
fof(f9380,plain,
( ~ sQ101_spl
| ~ sQ38_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f9379]) ).
fof(f9426,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f7992,f219,f392,f580]) ).
fof(f9597,plain,
( ~ sQ45_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f819,f252,f356]) ).
fof(f9653,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f302,f308]) ).
fof(f9654,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9653,f127]) ).
fof(f9655,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f9654]) ).
fof(f9669,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| op(e3,op(e2,e0)) = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f616]) ).
fof(f9670,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f9669]) ).
fof(f9671,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f415,f9670]) ).
fof(f9672,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9671,f131]) ).
fof(f9673,plain,
( ~ sQ105_spl
| ~ sQ35_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f9672]) ).
fof(f9684,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ9_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4362,f336,f239,f340,f483]) ).
fof(f9694,plain,
( sQ86_spl
| ~ sQ3_spl
| ~ sQ50_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5791,f239,f372,f219,f533]) ).
fof(f9771,plain,
( ~ sQ101_spl
| ~ sQ39_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f7610,f411,f336,f597]) ).
fof(f9913,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f7882,f317,f343]) ).
fof(f9969,plain,
( ~ sQ104_spl
| ~ sQ18_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1700,f343,f268,f611]) ).
fof(f10012,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f220,f1654]) ).
fof(f10013,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10012,f407]) ).
fof(f10014,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f10013]) ).
fof(f10015,plain,
$false,
inference(sat_refutation,[status(thm)],[f222,f235,f248,f261,f274,f287,f300,f313,f326,f339,f352,f365,f378,f391,f404,f417,f418,f419,f420,f421,f422,f423,f424,f425,f426,f427,f428,f429,f430,f431,f432,f433,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f445,f446,f447,f448,f449,f456,f460,f464,f468,f475,f479,f486,f490,f497,f508,f512,f516,f524,f532,f536,f540,f548,f549,f553,f554,f558,f559,f563,f564,f571,f575,f579,f583,f584,f592,f596,f600,f604,f605,f610,f614,f618,f622,f656,f659,f662,f665,f668,f671,f674,f677,f680,f683,f686,f689,f706,f709,f712,f715,f718,f721,f724,f727,f734,f737,f740,f743,f796,f797,f798,f799,f841,f844,f852,f876,f886,f893,f897,f900,f902,f919,f922,f925,f927,f947,f949,f990,f993,f1018,f1022,f1028,f1066,f1086,f1111,f1120,f1125,f1128,f1129,f1144,f1150,f1167,f1176,f1177,f1182,f1192,f1196,f1197,f1198,f1225,f1227,f1228,f1250,f1251,f1254,f1259,f1260,f1261,f1272,f1273,f1276,f1286,f1287,f1296,f1302,f1310,f1311,f1315,f1317,f1343,f1346,f1354,f1375,f1377,f1383,f1397,f1405,f1406,f1407,f1435,f1436,f1437,f1457,f1460,f1467,f1491,f1500,f1502,f1505,f1506,f1515,f1517,f1587,f1629,f1708,f1711,f1712,f1719,f1720,f1721,f1722,f1723,f1736,f1737,f1739,f1742,f1789,f1790,f1823,f1854,f1855,f1857,f1874,f1886,f1888,f1900,f1908,f1913,f1949,f1953,f1985,f1989,f1993,f1997,f2012,f2013,f2020,f2021,f2023,f2026,f2037,f2060,f2061,f2062,f2083,f2084,f2086,f2095,f2098,f2192,f2211,f2215,f2220,f2221,f2222,f2225,f2226,f2228,f2269,f2272,f2283,f2284,f2304,f2308,f2315,f2343,f2344,f2346,f2371,f2402,f2409,f2411,f2417,f2437,f2441,f2444,f2476,f2536,f2553,f2667,f2679,f2688,f2712,f2758,f2761,f2768,f2800,f2833,f2861,f2919,f2934,f2940,f2980,f3077,f3087,f3247,f3255,f3269,f3303,f3310,f3361,f3431,f3643,f3654,f3664,f3667,f3782,f3823,f3849,f3881,f3888,f4063,f4084,f4106,f4108,f4121,f4122,f4123,f4127,f4142,f4169,f4174,f4185,f4214,f4233,f4236,f4319,f4356,f4373,f4450,f4459,f4460,f4467,f4477,f4612,f4669,f4771,f4803,f4839,f4857,f4873,f4928,f5012,f5071,f5171,f5183,f5235,f5250,f5313,f5429,f5430,f5434,f5468,f5473,f5491,f5492,f5493,f5539,f5693,f5710,f5731,f5740,f5744,f5759,f5803,f5825,f5837,f5866,f5917,f5975,f5986,f5993,f6013,f6056,f6124,f6151,f6233,f6306,f6338,f6435,f6480,f6623,f6660,f6729,f6784,f6892,f6953,f6984,f6998,f7015,f7028,f7126,f7139,f7160,f7184,f7203,f7232,f7233,f7234,f7388,f7513,f7705,f7833,f7874,f7890,f7957,f7994,f8144,f8172,f8215,f8273,f8307,f8343,f8507,f8639,f8656,f8685,f8854,f8871,f8891,f8927,f9085,f9147,f9238,f9325,f9380,f9426,f9597,f9655,f9673,f9684,f9694,f9771,f9913,f9969,f10014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG137+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:57:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.52/0.80 % Refutation found
% 1.52/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.52/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.29/0.83 % Elapsed time: 0.459708 seconds
% 2.29/0.83 % CPU time: 3.386432 seconds
% 2.29/0.83 % Total memory used: 57.892 MB
% 2.29/0.83 % Net memory used: 56.642 MB
%------------------------------------------------------------------------------