%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG150+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 : n001.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 11:48:38 AM UTC 2026
% Result : Unsatisfiable 3.20s 0.86s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 139
% Syntax : Number of formulae : 1441 ( 55 unt; 110 def)
% Number of atoms : 4356 (1608 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5526 (2611 ~;2570 |; 233 &)
% ( 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(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,op(e3,e3)) != op(e3,e3)
& op(e2,op(e3,e2)) != op(e3,e2)
& op(e1,op(e3,e1)) != op(e3,e1)
& op(e0,op(e3,e0)) != op(e3,e0) )
| ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,op(e3,e3)) != op(e3,e3)
& op(e2,op(e3,e2)) != op(e3,e2)
& op(e1,op(e3,e1)) != op(e3,e1)
& op(e0,op(e3,e0)) != op(e3,e0) )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f145,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f150,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f151,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f152,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f153,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f155,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f156,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f158,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f160,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f162,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f164,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f166,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f168,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f170,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f172,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f174,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f176,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f178,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f180,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f182,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f184,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f186,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f188,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f190,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f192,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f194,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f196,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f198,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f200,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f202,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,definition,
( sP1_prd
<=> ( ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f204,plain,
( sP0_prd
<=> ( ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f203]) ).
fof(f205,plain,
( ( ( ( op(e3,op(e2,e3)) = op(e2,e3)
| op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e2,e0)) = op(e2,e0) )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e0,op(e2,e0)) != op(e2,e0)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e1,op(e2,e1)) != op(e2,e1)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
( op(e2,op(e2,e2)) != op(e2,e2)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f209,plain,
( op(e3,op(e2,e3)) != op(e2,e3)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,definition,
( sP2_prd
<=> ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f213,plain,
( sP1_prd
<=> ( ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f212]) ).
fof(f214,plain,
( ( ( ( op(e3,op(e1,e3)) = op(e1,e3)
| op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0) )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( op(e0,op(e1,e0)) != op(e1,e0)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( op(e1,op(e1,e1)) != op(e1,e1)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
( op(e2,op(e1,e2)) != op(e1,e2)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f218,plain,
( op(e3,op(e1,e3)) != op(e1,e3)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f219,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f220,plain,
( op(e3,op(e1,e3)) = op(e1,e3)
| op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f221,plain,
( ( op(e3,op(e0,e3)) = op(e0,e3)
| op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| sP2_prd )
& ( ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f222,plain,
( op(e0,op(e0,e0)) != op(e0,e0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e1,op(e0,e1)) != op(e0,e1)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e2,op(e0,e2)) != op(e0,e2)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e3,op(e0,e3)) != op(e0,e3)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f226,plain,
( op(e3,op(e0,e3)) = op(e0,e3)
| op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f227,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f227,f230,f233,f236]) ).
fof(f240,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f240,f243,f246,f249]) ).
fof(f253,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f253,f256,f259,f262]) ).
fof(f266,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f266,f269,f272,f275]) ).
fof(f279,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f279,f282,f285,f288]) ).
fof(f292,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f292,f295,f298,f301]) ).
fof(f305,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f305,f308,f311,f314]) ).
fof(f318,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f318,f321,f324,f327]) ).
fof(f331,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f331,f334,f337,f340]) ).
fof(f344,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f344,f347,f350,f353]) ).
fof(f357,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f357,f360,f363,f366]) ).
fof(f370,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f370,f373,f376,f379]) ).
fof(f383,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f383,f386,f389,f392]) ).
fof(f396,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f396,f399,f402,f405]) ).
fof(f409,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f409,f412,f415,f418]) ).
fof(f422,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f422,f425,f428,f431]) ).
fof(f435,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f227,f240,f253,f266]) ).
fof(f436,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f227,f279,f331,f383]) ).
fof(f437,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f230,f243,f256,f269]) ).
fof(f438,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f230,f282,f334,f386]) ).
fof(f439,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f233,f246,f259,f272]) ).
fof(f440,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f233,f285,f337,f389]) ).
fof(f441,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f236,f249,f262,f275]) ).
fof(f442,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f236,f288,f340,f392]) ).
fof(f443,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f279,f292,f305,f318]) ).
fof(f444,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f240,f292,f344,f396]) ).
fof(f445,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f282,f295,f308,f321]) ).
fof(f446,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f243,f295,f347,f399]) ).
fof(f447,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f285,f298,f311,f324]) ).
fof(f448,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f246,f298,f350,f402]) ).
fof(f449,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f288,f301,f314,f327]) ).
fof(f450,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f249,f301,f353,f405]) ).
fof(f451,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f331,f344,f357,f370]) ).
fof(f452,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f253,f305,f357,f409]) ).
fof(f453,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f334,f347,f360,f373]) ).
fof(f454,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f256,f308,f360,f412]) ).
fof(f455,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f337,f350,f363,f376]) ).
fof(f456,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f259,f311,f363,f415]) ).
fof(f457,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f340,f353,f366,f379]) ).
fof(f458,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f262,f314,f366,f418]) ).
fof(f459,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f383,f396,f409,f422]) ).
fof(f460,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f266,f318,f370,f422]) ).
fof(f461,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f386,f399,f412,f425]) ).
fof(f462,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f269,f321,f373,f425]) ).
fof(f463,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f389,f402,f415,f428]) ).
fof(f464,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f272,f324,f376,f428]) ).
fof(f465,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f392,f405,f418,f431]) ).
fof(f466,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f275,f327,f379,f431]) ).
fof(f467,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f470,definition,
( sQ65_spl
<=> op(e0,op(e3,e0)) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ65_spl
| op(e0,op(e3,e0)) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f467,f470]) ).
fof(f474,definition,
( sQ66_spl
<=> op(e1,op(e3,e1)) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ66_spl
| op(e1,op(e3,e1)) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f467,f474]) ).
fof(f478,definition,
( sQ67_spl
<=> op(e2,op(e3,e2)) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ67_spl
| op(e2,op(e3,e2)) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ67_spl
| op(e2,op(e3,e2)) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( ~ sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f467,f478]) ).
fof(f482,definition,
( sQ68_spl
<=> op(e3,op(e3,e3)) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ68_spl
| op(e3,op(e3,e3)) != op(e3,e3) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f467,f482]) ).
fof(f486,plain,
( sQ63_spl
| sQ42_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f138,f227,f295,f363,f431]) ).
fof(f488,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f140,f230,f240]) ).
fof(f489,plain,
( sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f141,f233,f253]) ).
fof(f490,plain,
( sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f142,f236,f266]) ).
fof(f491,plain,
( sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f143,f292,f282]) ).
fof(f493,plain,
( sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f145,f298,f308]) ).
fof(f494,plain,
( sQ29_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f146,f301,f321]) ).
fof(f495,plain,
( sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f147,f357,f337]) ).
fof(f496,plain,
( sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f148,f360,f350]) ).
fof(f498,plain,
( sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f150,f366,f376]) ).
fof(f499,plain,
( sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f151,f422,f392]) ).
fof(f500,plain,
( sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f152,f425,f405]) ).
fof(f501,plain,
( sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f153,f428,f418]) ).
fof(f503,definition,
( sQ69_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ69_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ70_spl
<=> e2 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( sQ70_spl
| e2 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( ~ sQ70_spl
| ~ sQ61_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f156,f503,f425,f506]) ).
fof(f510,definition,
( sQ71_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( sQ71_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ72_spl
<=> e3 = op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ72_spl
| e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( ~ sQ72_spl
| ~ sQ41_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f158,f510,f360,f513]) ).
fof(f517,definition,
( sQ73_spl
<=> e1 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ73_spl
| e1 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ73_spl
| ~ sQ62_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f160,f503,f428,f517]) ).
fof(f521,definition,
( sQ74_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ74_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ75_spl
<=> e3 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( sQ75_spl
| e3 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( ~ sQ75_spl
| ~ sQ22_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f162,f521,f298,f524]) ).
fof(f528,definition,
( sQ76_spl
<=> e1 = op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ76_spl
| e1 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ76_spl
| ~ sQ43_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f164,f510,f366,f528]) ).
fof(f532,definition,
( sQ77_spl
<=> e2 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ77_spl
| e2 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( ~ sQ77_spl
| ~ sQ23_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f166,f521,f301,f532]) ).
fof(f536,definition,
( sQ78_spl
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( sQ78_spl
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ70_spl
| ~ sQ60_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f168,f536,f422,f506]) ).
fof(f540,definition,
( sQ79_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( sQ79_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( ~ sQ72_spl
| ~ sQ40_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f170,f540,f357,f513]) ).
fof(f544,definition,
( sQ80_spl
<=> e0 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ80_spl
| e0 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( ~ sQ80_spl
| ~ sQ62_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f172,f536,f428,f544]) ).
fof(f548,definition,
( sQ81_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ81_spl
| e1 = op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ81_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ82_spl
<=> e3 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ82_spl
| e3 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ82_spl
| ~ sQ2_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f174,f548,f233,f551]) ).
fof(f555,definition,
( sQ83_spl
<=> e0 = op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ83_spl
| e0 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f176,f540,f366,f555]) ).
fof(f559,definition,
( sQ84_spl
<=> e2 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ84_spl
| e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f178,f548,f236,f559]) ).
fof(f563,definition,
( sQ85_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( sQ85_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( ~ sQ73_spl
| ~ sQ60_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f180,f563,f422,f517]) ).
fof(f567,definition,
( sQ86_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ86_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ75_spl
| ~ sQ20_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f182,f567,f292,f524]) ).
fof(f571,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f184,f563,f425,f544]) ).
fof(f572,definition,
( sQ87_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ87_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ82_spl
| ~ sQ1_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f186,f572,f230,f551]) ).
fof(f576,definition,
( sQ88_spl
<=> e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ88_spl
| e0 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( ~ sQ88_spl
| ~ sQ23_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f188,f567,f301,f576]) ).
fof(f580,definition,
( sQ89_spl
<=> e1 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ89_spl
| e1 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f190,f572,f236,f580]) ).
fof(f584,definition,
( sQ90_spl
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( sQ90_spl
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f192,f584,f357,f528]) ).
fof(f588,definition,
( sQ91_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ91_spl
| e3 = op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( sQ91_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( ~ sQ77_spl
| ~ sQ20_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f194,f588,f292,f532]) ).
fof(f592,plain,
( ~ sQ83_spl
| ~ sQ41_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f196,f584,f360,f555]) ).
fof(f593,definition,
( sQ92_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ92_spl
| e3 = op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ92_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( ~ sQ84_spl
| ~ sQ1_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f198,f593,f230,f559]) ).
fof(f597,plain,
( ~ sQ88_spl
| ~ sQ22_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f200,f588,f298,f576]) ).
fof(f598,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f202,f593,f233,f580]) ).
fof(f599,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f602,definition,
( sQ94_spl
<=> op(e0,op(e2,e0)) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ94_spl
| op(e0,op(e2,e0)) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ94_spl
| op(e0,op(e2,e0)) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ sQ94_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f206,f467,f599,f602]) ).
fof(f606,definition,
( sQ95_spl
<=> op(e1,op(e2,e1)) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ95_spl
| op(e1,op(e2,e1)) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( ~ sQ95_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f467,f599,f606]) ).
fof(f610,definition,
( sQ96_spl
<=> op(e2,op(e2,e2)) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ96_spl
| op(e2,op(e2,e2)) = op(e2,e2) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ96_spl
| op(e2,op(e2,e2)) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ sQ96_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f467,f599,f610]) ).
fof(f614,definition,
( sQ97_spl
<=> op(e3,op(e2,e3)) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ97_spl
| op(e3,op(e2,e3)) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ97_spl
| op(e3,op(e2,e3)) != op(e2,e3) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ97_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f209,f467,f599,f614]) ).
fof(f618,plain,
( ~ sQ93_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f467,f599]) ).
fof(f620,definition,
( sQ98_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f623,definition,
( sQ99_spl
<=> op(e0,op(e1,e0)) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ99_spl
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( sQ99_spl
| op(e0,op(e1,e0)) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ sQ99_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f215,f599,f620,f623]) ).
fof(f627,definition,
( sQ100_spl
<=> op(e1,op(e1,e1)) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ100_spl
| op(e1,op(e1,e1)) = op(e1,e1) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ100_spl
| op(e1,op(e1,e1)) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( ~ sQ100_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f216,f599,f620,f627]) ).
fof(f631,definition,
( sQ101_spl
<=> op(e2,op(e1,e2)) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ101_spl
| op(e2,op(e1,e2)) = op(e1,e2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ101_spl
| op(e2,op(e1,e2)) != op(e1,e2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ sQ101_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f217,f599,f620,f631]) ).
fof(f635,definition,
( sQ102_spl
<=> op(e3,op(e1,e3)) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ102_spl
| op(e3,op(e1,e3)) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( sQ102_spl
| op(e3,op(e1,e3)) != op(e1,e3) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( ~ sQ102_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f218,f599,f620,f635]) ).
fof(f639,plain,
( ~ sQ98_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f219,f599,f620]) ).
fof(f640,plain,
( sQ102_spl
| sQ101_spl
| sQ100_spl
| sQ99_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f220,f599,f623,f627,f631,f635]) ).
fof(f641,definition,
( sQ103_spl
<=> op(e0,op(e0,e0)) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ103_spl
| op(e0,op(e0,e0)) = op(e0,e0) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( sQ103_spl
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( ~ sQ103_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f222,f620,f641]) ).
fof(f645,definition,
( sQ104_spl
<=> op(e1,op(e0,e1)) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ104_spl
| op(e1,op(e0,e1)) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( sQ104_spl
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( ~ sQ104_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f223,f620,f645]) ).
fof(f649,definition,
( sQ105_spl
<=> op(e2,op(e0,e2)) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ105_spl
| op(e2,op(e0,e2)) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f651,plain,
( sQ105_spl
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( ~ sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f224,f620,f649]) ).
fof(f653,definition,
( sQ106_spl
<=> op(e3,op(e0,e3)) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ106_spl
| op(e3,op(e0,e3)) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f655,plain,
( sQ106_spl
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( ~ sQ106_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f225,f620,f653]) ).
fof(f657,plain,
( sQ106_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f226,f620,f641,f645,f649,f653]) ).
fof(f658,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f393,f80]) ).
fof(f659,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f338,f79]) ).
fof(f660,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f338,f81]) ).
fof(f663,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f283,f82]) ).
fof(f665,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f338,f83]) ).
fof(f668,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f377,f380]) ).
fof(f669,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f131]) ).
fof(f670,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( sQ103_spl
| ~ sQ0_spl
| op(e0,e0) != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f228,f643]) ).
fof(f673,plain,
( sQ103_spl
| ~ sQ0_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f228,f672]) ).
fof(f674,plain,
( sQ103_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f228,f673]) ).
fof(f675,plain,
( sQ103_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f674]) ).
fof(f676,plain,
( sQ103_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( sQ104_spl
| ~ sQ4_spl
| op(e1,e0) != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f241,f647]) ).
fof(f695,plain,
( sQ65_spl
| ~ sQ51_spl
| op(e0,e3) != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f393,f472]) ).
fof(f698,plain,
( sQ66_spl
| ~ sQ55_spl
| op(e1,e3) != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f406,f476]) ).
fof(f701,plain,
( sQ67_spl
| ~ sQ59_spl
| op(e2,e3) != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f419,f480]) ).
fof(f702,plain,
( sQ67_spl
| ~ sQ59_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f419,f701]) ).
fof(f703,plain,
( sQ68_spl
| ~ sQ63_spl
| op(e3,e3) != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f432,f484]) ).
fof(f704,plain,
( sQ68_spl
| ~ sQ63_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f432,f703]) ).
fof(f705,plain,
( sQ68_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f432,f704]) ).
fof(f706,plain,
( sQ68_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f705]) ).
fof(f707,plain,
( sQ68_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f364,f367]) ).
fof(f709,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f131]) ).
fof(f710,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f716,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| op(e2,e1) = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f309,f632]) ).
fof(f733,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f296,f293]) ).
fof(f734,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f126]) ).
fof(f735,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( sQ66_spl
| ~ sQ55_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f406,f698]) ).
fof(f737,plain,
( sQ99_spl
| ~ sQ17_spl
| op(e0,e1) != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f283,f625]) ).
fof(f738,plain,
( sQ99_spl
| ~ sQ17_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f283,f737]) ).
fof(f739,plain,
( sQ94_spl
| ~ sQ34_spl
| op(e0,e2) != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f338,f604]) ).
fof(f740,plain,
( sQ94_spl
| ~ sQ34_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f338,f739]) ).
fof(f741,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| op(e3,e0) = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f267,f654]) ).
fof(f746,plain,
( sQ65_spl
| ~ sQ51_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f393,f695]) ).
fof(f747,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f328,f325]) ).
fof(f748,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f131]) ).
fof(f749,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f351,f85]) ).
fof(f751,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f276,f273]) ).
fof(f752,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f131]) ).
fof(f753,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( ~ sQ55_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f406,f86]) ).
fof(f755,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f419,f416]) ).
fof(f756,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f131]) ).
fof(f757,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f403]) ).
fof(f759,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f131]) ).
fof(f760,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f393,f390]) ).
fof(f762,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f131]) ).
fof(f763,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f351,f87]) ).
fof(f765,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f400,f88]) ).
fof(f766,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f374,f371]) ).
fof(f767,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f126]) ).
fof(f768,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f771,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f387,f393]) ).
fof(f772,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f130]) ).
fof(f773,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f416]) ).
fof(f776,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f775,f129]) ).
fof(f777,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f400,f397]) ).
fof(f779,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f126]) ).
fof(f780,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f779]) ).
fof(f781,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f270,f267]) ).
fof(f782,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f126]) ).
fof(f783,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f319,f322]) ).
fof(f785,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f126]) ).
fof(f786,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f419]) ).
fof(f788,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f128]) ).
fof(f789,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f351,f89]) ).
fof(f791,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f351,f354]) ).
fof(f792,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f131]) ).
fof(f793,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f794,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f315,f309]) ).
fof(f795,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f130]) ).
fof(f796,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f797,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f790,f402,f350]) ).
fof(f798,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f263,f90]) ).
fof(f799,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f338,f341]) ).
fof(f800,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f131]) ).
fof(f801,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f263,f254]) ).
fof(f803,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f128]) ).
fof(f804,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f803]) ).
fof(f805,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f384,f83]) ).
fof(f806,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f283,f81]) ).
fof(f807,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f665,f389,f337]) ).
fof(f809,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f384,f387]) ).
fof(f810,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f126]) ).
fof(f811,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f260,f257]) ).
fof(f813,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f129]) ).
fof(f814,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f815,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f312,f306]) ).
fof(f816,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f815,f127]) ).
fof(f817,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f348,f345]) ).
fof(f819,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f126]) ).
fof(f820,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f821,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f335,f332]) ).
fof(f822,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f126]) ).
fof(f823,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f250,f84]) ).
fof(f825,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f283,f289]) ).
fof(f826,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f130]) ).
fof(f827,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f250,f241]) ).
fof(f829,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f128]) ).
fof(f830,plain,
( ~ sQ4_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f831,plain,
( sQ67_spl
| ~ sQ59_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f702,f379,f418,f478]) ).
fof(f832,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f247,f244]) ).
fof(f833,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f129]) ).
fof(f834,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f837,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f286,f280]) ).
fof(f838,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f127]) ).
fof(f839,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f844,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f267,f98]) ).
fof(f845,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f267,f97]) ).
fof(f846,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f267,f96]) ).
fof(f847,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f845,f370,f266]) ).
fof(f848,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f846,f318,f266]) ).
fof(f850,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f397,f406]) ).
fof(f851,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f128]) ).
fof(f852,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f241,f247]) ).
fof(f854,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f127]) ).
fof(f855,plain,
( ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( sQ65_spl
| ~ sQ51_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f746,f275,f392,f470]) ).
fof(f857,plain,
( sQ94_spl
| ~ sQ34_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f740,f259,f337,f602]) ).
fof(f862,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f263,f91]) ).
fof(f866,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f263,f103]) ).
fof(f867,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f280,f289]) ).
fof(f868,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f128]) ).
fof(f869,plain,
( ~ sQ19_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f263,f260]) ).
fof(f872,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f131]) ).
fof(f873,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f228,f102]) ).
fof(f875,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f228,f104]) ).
fof(f876,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f309,f94]) ).
fof(f877,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f309,f93]) ).
fof(f878,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f876,f412,f308]) ).
fof(f879,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f309,f306]) ).
fof(f880,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f126]) ).
fof(f881,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f882,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f354,f345]) ).
fof(f883,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f128]) ).
fof(f884,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( ~ sQ55_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f754,f249,f405]) ).
fof(f886,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f750,f246,f350]) ).
fof(f887,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f875,f266,f227]) ).
fof(f888,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f798,f314,f262]) ).
fof(f889,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f844,f422,f266]) ).
fof(f890,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f824,f301,f249]) ).
fof(f894,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f364,f95]) ).
fof(f899,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f257,f107]) ).
fof(f900,plain,
( ~ sQ9_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f257,f105]) ).
fof(f901,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f283,f110]) ).
fof(f902,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f805]) ).
fof(f903,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f902]) ).
fof(f904,plain,
( ~ sQ29_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f322,f901]) ).
fof(f905,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f377,f101]) ).
fof(f908,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f377,f99]) ).
fof(f909,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f273,f106]) ).
fof(f911,plain,
( ~ sQ31_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f328,f100]) ).
fof(f912,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f911,f431,f327]) ).
fof(f920,plain,
( ~ sQ46_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f377,f116]) ).
fof(f923,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f312,f113]) ).
fof(f925,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f332,f115]) ).
fof(f931,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f377,f118]) ).
fof(f935,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f390,f387]) ).
fof(f936,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f129]) ).
fof(f937,plain,
( ~ sQ49_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f936]) ).
fof(f938,plain,
( sQ66_spl
| ~ sQ55_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f736,f327,f405,f474]) ).
fof(f939,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f894,f415,f363]) ).
fof(f942,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f874,f240,f227]) ).
fof(f943,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f899,f269,f256]) ).
fof(f944,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f900,f243,f256]) ).
fof(f945,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f410,f416]) ).
fof(f946,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f127]) ).
fof(f947,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f950,plain,
( sQ104_spl
| ~ sQ4_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f241,f677]) ).
fof(f956,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f400,f123]) ).
fof(f957,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f377,f119]) ).
fof(f958,plain,
( ~ sQ53_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f400,f124]) ).
fof(f959,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f765]) ).
fof(f960,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f964,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f341,f332]) ).
fof(f965,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f964,f128]) ).
fof(f966,plain,
( ~ sQ32_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f908,f324,f376]) ).
fof(f970,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f920,f337,f376]) ).
fof(f971,plain,
( sQ104_spl
| ~ sQ4_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f950,f279,f240,f645]) ).
fof(f973,plain,
( sQ105_spl
| ~ sQ9_spl
| op(e2,e1) != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f257,f651]) ).
fof(f974,plain,
( sQ105_spl
| ~ sQ9_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f257,f973]) ).
fof(f979,plain,
( ~ sQ57_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f413,f125]) ).
fof(f980,plain,
( ~ sQ57_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f413,f121]) ).
fof(f985,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f432,f122]) ).
fof(f1001,plain,
( ~ sQ21_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f296,f112]) ).
fof(f1006,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1001,f321,f295]) ).
fof(f1007,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f909,f246,f272]) ).
fof(f1008,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f923,f324,f311]) ).
fof(f1010,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f660,f285,f337]) ).
fof(f1011,plain,
( ~ sQ63_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f432,f125]) ).
fof(f1013,plain,
( sQ99_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f738,f243,f282,f623]) ).
fof(f1014,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f806,f334,f282]) ).
fof(f1015,plain,
( sQ66_spl
| ~ sQ54_spl
| op(e1,e2) != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f403,f476]) ).
fof(f1016,plain,
( sQ66_spl
| ~ sQ54_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f403,f1015]) ).
fof(f1017,plain,
( sQ105_spl
| ~ sQ9_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f974,f347,f256,f649]) ).
fof(f1018,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f866,f236,f262]) ).
fof(f1019,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f980,f386,f412]) ).
fof(f1020,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f403,f400]) ).
fof(f1021,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f129]) ).
fof(f1022,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1021]) ).
fof(f1023,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f958,f425,f399]) ).
fof(f1024,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f764,f298,f350]) ).
fof(f1028,plain,
( sQ106_spl
| ~ sQ12_spl
| op(e3,op(e0,e3)) != e0 ),
inference(backward_demodulation,[status(thm)],[f267,f655]) ).
fof(f1029,plain,
( sQ106_spl
| ~ sQ12_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f267,f1028]) ).
fof(f1033,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f302,f88]) ).
fof(f1037,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f302,f87]) ).
fof(f1040,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f374,f380]) ).
fof(f1041,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f130]) ).
fof(f1042,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f931,f350,f376]) ).
fof(f1044,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1037,f353,f301]) ).
fof(f1045,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1011,f418,f431]) ).
fof(f1046,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f877,f360,f308]) ).
fof(f1049,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f384,f80]) ).
fof(f1053,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f384,f82]) ).
fof(f1055,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f341,f81]) ).
fof(f1057,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f341,f79]) ).
fof(f1058,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1055,f288,f340]) ).
fof(f1059,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1033,f405,f301]) ).
fof(f1060,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f364,f361]) ).
fof(f1061,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f129]) ).
fof(f1062,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1065,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f659,f233,f337]) ).
fof(f1069,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f384,f393]) ).
fof(f1070,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1069,f128]) ).
fof(f1071,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1093,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f663,f386,f282]) ).
fof(f1094,plain,
( sQ96_spl
| ~ sQ42_spl
| op(e2,e2) != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f364,f612]) ).
fof(f1095,plain,
( sQ96_spl
| ~ sQ42_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f364,f1094]) ).
fof(f1096,plain,
( sQ96_spl
| ~ sQ42_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f364,f1095]) ).
fof(f1097,plain,
( sQ96_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1096]) ).
fof(f1098,plain,
( sQ96_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1049,f227,f383]) ).
fof(f1100,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f979,f425,f412]) ).
fof(f1101,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f985,f392,f431]) ).
fof(f1102,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f254,f90]) ).
fof(f1103,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1102,f305,f253]) ).
fof(f1106,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f276,f97]) ).
fof(f1107,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f276,f98]) ).
fof(f1116,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f315,f94]) ).
fof(f1121,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f257,f92]) ).
fof(f1129,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f400,f89]) ).
fof(f1136,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f293,f84]) ).
fof(f1144,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f247,f102]) ).
fof(f1146,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f283,f109]) ).
fof(f1155,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f283,f108]) ).
fof(f1197,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f338,f115]) ).
fof(f1201,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f358,f119]) ).
fof(f1207,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f393,f120]) ).
fof(f1209,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f315,f113]) ).
fof(f1211,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f293,f111]) ).
fof(f1213,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f393,f121]) ).
fof(f1215,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f293,f112]) ).
fof(f1217,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f293,f590]) ).
fof(f1218,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f293,f1217]) ).
fof(f1224,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f293,f87]) ).
fof(f1228,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f423,f565]) ).
fof(f1229,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f423,f1228]) ).
fof(f1233,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f228,f79]) ).
fof(f1239,plain,
( sQ86_spl
| ~ sQ20_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f293,f569]) ).
fof(f1240,plain,
( sQ86_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f293,f1239]) ).
fof(f1244,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f257,f90]) ).
fof(f1246,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f358,f586]) ).
fof(f1247,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f1246]) ).
fof(f1255,plain,
( sQ101_spl
| ~ sQ27_spl
| op(e2,e3) != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f315,f633]) ).
fof(f1258,plain,
( sQ102_spl
| ~ sQ30_spl
| op(e3,e2) != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f325,f637]) ).
fof(f1259,plain,
( sQ102_spl
| ~ sQ30_spl
| ~ sQ58_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f416,f1258]) ).
fof(f1260,plain,
( sQ102_spl
| ~ sQ30_spl
| ~ sQ58_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f325,f1259]) ).
fof(f1261,plain,
( sQ102_spl
| ~ sQ30_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1260]) ).
fof(f1262,plain,
( sQ102_spl
| ~ sQ30_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1261]) ).
fof(f1263,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f374,f116]) ).
fof(f1265,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f276,f267]) ).
fof(f1266,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f128]) ).
fof(f1267,plain,
( ~ sQ12_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f315,f111]) ).
fof(f1270,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1215,f318,f292]) ).
fof(f1274,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f276,f270]) ).
fof(f1275,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f130]) ).
fof(f1276,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ106_spl
| ~ sQ12_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1029,f383,f266,f653]) ).
fof(f1278,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1144,f233,f246]) ).
fof(f1279,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1053,f279,f383]) ).
fof(f1280,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1247,f236,f357,f584]) ).
fof(f1281,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1197,f363,f337]) ).
fof(f1282,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1155,f295,f282]) ).
fof(f1284,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1213,f418,f392]) ).
fof(f1285,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f658,f236,f392]) ).
fof(f1286,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1116,f418,f314]) ).
fof(f1287,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1209,f327,f314]) ).
fof(f1288,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f925,f357,f331]) ).
fof(f1289,plain,
( sQ66_spl
| ~ sQ54_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1016,f311,f402,f474]) ).
fof(f1290,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1057,f236,f340]) ).
fof(f1291,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1207,f405,f392]) ).
fof(f1292,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1201,f370,f357]) ).
fof(f1293,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1146,f308,f282]) ).
fof(f1295,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1224,f344,f292]) ).
fof(f1296,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1240,f233,f292,f567]) ).
fof(f1297,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1244,f308,f256]) ).
fof(f1298,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f957,f363,f376]) ).
fof(f1299,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f907,f428,f376]) ).
fof(f1307,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f341,f115]) ).
fof(f1317,plain,
( sQ71_spl
| ~ sQ41_spl
| e0 != op(op(e2,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f361,f512]) ).
fof(f1319,plain,
( sQ71_spl
| ~ sQ41_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f361,f1317]) ).
fof(f1332,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f361,f95]) ).
fof(f1344,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f413]) ).
fof(f1345,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f126]) ).
fof(f1346,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1347,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f302,f299]) ).
fof(f1348,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f131]) ).
fof(f1349,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1348]) ).
fof(f1350,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1233,f331,f227]) ).
fof(f1351,plain,
( sQ92_spl
| ~ sQ2_spl
| e3 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f234,f595]) ).
fof(f1353,plain,
( sQ81_spl
| ~ sQ2_spl
| e1 != op(op(e0,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f234,f550]) ).
fof(f1354,plain,
( sQ92_spl
| ~ sQ2_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f234,f1351]) ).
fof(f1355,plain,
( sQ81_spl
| ~ sQ2_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f234,f1353]) ).
fof(f1357,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f234,f78]) ).
fof(f1369,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f244,f84]) ).
fof(f1373,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f234,f228]) ).
fof(f1374,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1373,f127]) ).
fof(f1375,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1380,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f299,f108]) ).
fof(f1381,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1380,f285,f298]) ).
fof(f1385,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1129,f347,f399]) ).
fof(f1386,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1121,f412,f256]) ).
fof(f1390,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f348,f117]) ).
fof(f1392,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f348,f118]) ).
fof(f1393,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f374,f1392]) ).
fof(f1394,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1393]) ).
fof(f1395,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1394]) ).
fof(f1404,plain,
( ~ sQ31_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f328,f110]) ).
fof(f1409,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f354,f89]) ).
fof(f1411,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f397,f86]) ).
fof(f1433,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f280,f81]) ).
fof(f1439,plain,
( sQ79_spl
| ~ sQ40_spl
| e1 != op(op(e2,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f358,f542]) ).
fof(f1442,plain,
( sQ79_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f1439]) ).
fof(f1497,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f312,f93]) ).
fof(f1505,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f338,f114]) ).
fof(f1532,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f328,f99]) ).
fof(f1538,plain,
( sQ76_spl
| ~ sQ40_spl
| e1 != op(e2,op(e0,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f358,f530]) ).
fof(f1539,plain,
( sQ76_spl
| ~ sQ40_spl
| e1 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f358,f1538]) ).
fof(f1540,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ3_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f1539]) ).
fof(f1541,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f374,f1540]) ).
fof(f1542,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1541]) ).
fof(f1543,plain,
( sQ76_spl
| ~ sQ40_spl
| ~ sQ3_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( sQ92_spl
| ~ sQ3_spl
| e3 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f237,f595]) ).
fof(f1545,plain,
( sQ92_spl
| ~ sQ3_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f1544]) ).
fof(f1548,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1497,f363,f311]) ).
fof(f1552,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1433,f331,f279]) ).
fof(f1558,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f397,f403]) ).
fof(f1559,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1558,f127]) ).
fof(f1560,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( sQ92_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1354,f366,f233,f593]) ).
fof(f1562,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1107,f431,f275]) ).
fof(f1563,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f862,f366,f262]) ).
fof(f1564,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1307,f366,f340]) ).
fof(f1565,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1404,f288,f327]) ).
fof(f1566,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1409,f405,f353]) ).
fof(f1567,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1505,f350,f337]) ).
fof(f1569,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1136,f240,f292]) ).
fof(f1570,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1442,f230,f357,f540]) ).
fof(f1572,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1357,f285,f233]) ).
fof(f1573,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1106,f379,f275]) ).
fof(f1574,plain,
( sQ92_spl
| ~ sQ3_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1545,f431,f236,f593]) ).
fof(f1575,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1390,f360,f347]) ).
fof(f1576,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1411,f240,f396]) ).
fof(f1577,plain,
( sQ91_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1218,f236,f292,f588]) ).
fof(f1597,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f267,f106]) ).
fof(f1598,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1597,f240,f266]) ).
fof(f1599,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1355,f360,f233,f548]) ).
fof(f1601,plain,
( sQ101_spl
| ~ sQ27_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f315,f1255]) ).
fof(f1605,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1369,f295,f243]) ).
fof(f1606,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1532,f379,f327]) ).
fof(f1611,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f335,f115]) ).
fof(f1626,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f335,f83]) ).
fof(f1630,plain,
( ~ sQ14_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f273,f96]) ).
fof(f1635,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f335,f338]) ).
fof(f1636,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f129]) ).
fof(f1637,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1636]) ).
fof(f1639,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f345,f351]) ).
fof(f1640,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1639,f127]) ).
fof(f1641,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1211,f305,f292]) ).
fof(f1644,plain,
( sQ101_spl
| ~ sQ27_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1601,f379,f314,f631]) ).
fof(f1646,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1630,f324,f272]) ).
fof(f1647,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f273,f270]) ).
fof(f1648,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1647,f129]) ).
fof(f1649,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1668,plain,
( ~ sQ37_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f348,f87]) ).
fof(f1688,plain,
( ~ sQ23_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f1269]) ).
fof(f1689,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1263,f334,f373]) ).
fof(f1691,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1626,f386,f334]) ).
fof(f1692,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1332,f412,f360]) ).
fof(f1693,plain,
( sQ71_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1319,f292,f360,f510]) ).
fof(f1694,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f956,f412,f399]) ).
fof(f1701,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f254,f92]) ).
fof(f1720,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f234,f80]) ).
fof(f1769,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f234,f103]) ).
fof(f1771,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f250,f244]) ).
fof(f1772,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1771,f130]) ).
fof(f1773,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1907,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f228,f103]) ).
fof(f1945,plain,
( ~ sQ6_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f247,f86]) ).
fof(f1962,plain,
( sQ95_spl
| ~ sQ39_spl
| op(e1,e3) != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f354,f608]) ).
fof(f1965,plain,
( sQ97_spl
| ~ sQ45_spl
| op(e3,e1) != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f374,f616]) ).
fof(f1966,plain,
( sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f400,f1965]) ).
fof(f1967,plain,
( sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f374,f1966]) ).
fof(f1968,plain,
( sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1967]) ).
fof(f1969,plain,
( sQ97_spl
| ~ sQ45_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1976,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1611,f360,f334]) ).
fof(f1997,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f335,f341]) ).
fof(f1998,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1997,f130]) ).
fof(f1999,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2184,plain,
( sQ95_spl
| ~ sQ39_spl
| ~ sQ31_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f328,f1962]) ).
fof(f2185,plain,
( sQ95_spl
| ~ sQ39_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f354,f2184]) ).
fof(f2186,plain,
( sQ95_spl
| ~ sQ39_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2185]) ).
fof(f2187,plain,
( sQ95_spl
| ~ sQ39_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2186]) ).
fof(f2188,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1229,f233,f422,f563]) ).
fof(f2200,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f423,f100]) ).
fof(f2240,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(e1,op(e0,op(e1,e1))) ),
inference(forward_demodulation,[status(thm)],[f293,f526]) ).
fof(f2241,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f293,f2240]) ).
fof(f2242,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f234,f2241]) ).
fof(f2243,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2242,f314,f233,f292,f524]) ).
fof(f2244,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f244,f241]) ).
fof(f2245,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2244,f126]) ).
fof(f2246,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2245]) ).
fof(f2407,plain,
( sQ77_spl
| ~ sQ20_spl
| e2 != op(e1,op(e0,op(e1,e1))) ),
inference(forward_demodulation,[status(thm)],[f293,f534]) ).
fof(f2408,plain,
( sQ77_spl
| ~ sQ20_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f293,f2407]) ).
fof(f2436,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| op(e2,e3) = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f315,f632]) ).
fof(f2441,plain,
( sQ67_spl
| ~ sQ57_spl
| op(e2,e1) != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f413,f480]) ).
fof(f2442,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ37_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f348,f2441]) ).
fof(f2443,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ37_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f413,f2442]) ).
fof(f2444,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2443]) ).
fof(f2445,plain,
( sQ67_spl
| ~ sQ57_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2446,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1769,f259,f233]) ).
fof(f2447,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1720,f389,f233]) ).
fof(f2464,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f260,f254]) ).
fof(f2465,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2464,f127]) ).
fof(f2466,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2465]) ).
fof(f2491,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(e0,op(op(e0,e0),e3)) ),
inference(backward_demodulation,[status(thm)],[f237,f561]) ).
fof(f2492,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f237,f2491]) ).
fof(f2535,plain,
( ~ sQ42_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f364,f117]) ).
fof(f2593,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f2408]) ).
fof(f2594,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f325,f2593]) ).
fof(f2595,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2594]) ).
fof(f2596,plain,
( sQ77_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2601,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f267,f107]) ).
fof(f2608,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| op(e0,e3) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f237,f642]) ).
fof(f2609,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| ~ sQ12_spl
| e0 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f267,f2608]) ).
fof(f2610,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f237,f2609]) ).
fof(f2611,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f128]) ).
fof(f2612,plain,
( ~ sQ103_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f237,f550]) ).
fof(f2614,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f2613]) ).
fof(f2617,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f267,f741]) ).
fof(f2623,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f237,f574]) ).
fof(f2624,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f2623]) ).
fof(f2631,plain,
( sQ77_spl
| ~ sQ23_spl
| e2 != op(e1,op(op(e1,e1),e3)) ),
inference(backward_demodulation,[status(thm)],[f302,f534]) ).
fof(f2632,plain,
( sQ77_spl
| ~ sQ23_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f302,f2631]) ).
fof(f2636,plain,
( sQ86_spl
| ~ sQ23_spl
| e2 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f302,f569]) ).
fof(f2637,plain,
( sQ86_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f2636]) ).
fof(f2647,plain,
( sQ83_spl
| ~ sQ43_spl
| e0 != op(e2,op(e3,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f367,f557]) ).
fof(f2648,plain,
( sQ83_spl
| ~ sQ43_spl
| e0 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f367,f2647]) ).
fof(f2651,plain,
( sQ74_spl
| ~ sQ23_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f302,f523]) ).
fof(f2652,plain,
( sQ74_spl
| ~ sQ23_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f2651]) ).
fof(f2746,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f286,f82]) ).
fof(f2798,plain,
( sQ95_spl
| ~ sQ36_spl
| op(e1,e0) != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f345,f608]) ).
fof(f2812,plain,
( sQ97_spl
| ~ sQ46_spl
| op(e3,e2) != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f377,f616]) ).
fof(f2815,plain,
( sQ71_spl
| ~ sQ43_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f367,f512]) ).
fof(f2816,plain,
( sQ71_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f367,f2815]) ).
fof(f2818,plain,
( sQ91_spl
| ~ sQ23_spl
| e3 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f302,f590]) ).
fof(f2819,plain,
( sQ91_spl
| ~ sQ23_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f2818]) ).
fof(f2820,plain,
( sQ91_spl
| ~ sQ23_spl
| ~ sQ63_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f432,f2819]) ).
fof(f2821,plain,
( sQ91_spl
| ~ sQ23_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2820]) ).
fof(f2822,plain,
( sQ91_spl
| ~ sQ23_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2823,plain,
( ~ sQ91_spl
| ~ sQ23_spl
| e3 = op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f302,f589]) ).
fof(f2824,plain,
( ~ sQ91_spl
| ~ sQ23_spl
| e3 = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f2823]) ).
fof(f2864,plain,
( sQ99_spl
| ~ sQ18_spl
| op(e0,e2) != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f286,f625]) ).
fof(f2865,plain,
( sQ99_spl
| ~ sQ18_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f286,f2864]) ).
fof(f2886,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(e2,op(e1,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f361,f557]) ).
fof(f2887,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f361,f2886]) ).
fof(f2888,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f2887]) ).
fof(f2950,plain,
( ~ sQ44_spl
| sQ83_spl
| ~ sQ41_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f2888]) ).
fof(f2951,plain,
( ~ sQ44_spl
| sQ83_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2950]) ).
fof(f2955,plain,
( sQ90_spl
| ~ sQ41_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f361,f586]) ).
fof(f2956,plain,
( sQ90_spl
| ~ sQ41_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f361,f2955]) ).
fof(f2957,plain,
( sQ90_spl
| ~ sQ41_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f302,f2956]) ).
fof(f2958,plain,
( sQ90_spl
| ~ sQ41_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2957]) ).
fof(f2959,plain,
( sQ90_spl
| ~ sQ41_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2958]) ).
fof(f2991,plain,
( ~ sQ91_spl
| ~ sQ23_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2824,f431,f301,f588]) ).
fof(f2992,plain,
( sQ74_spl
| ~ sQ23_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2652,f422,f301,f521]) ).
fof(f3003,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| op(e0,e2) = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f286,f624]) ).
fof(f3004,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| ~ sQ11_spl
| e3 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f263,f3003]) ).
fof(f3005,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f286,f3004]) ).
fof(f3006,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3005,f131]) ).
fof(f3007,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3006]) ).
fof(f3011,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| op(e1,e3) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f302,f628]) ).
fof(f3012,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ29_spl
| e1 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f322,f3011]) ).
fof(f3013,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f302,f3012]) ).
fof(f3014,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3013,f130]) ).
fof(f3015,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3019,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| op(e2,e0) = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f306,f632]) ).
fof(f3020,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f306,f3019]) ).
fof(f3066,plain,
( ~ sQ47_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f380,f101]) ).
fof(f3089,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f423,f538]) ).
fof(f3090,plain,
( sQ78_spl
| ~ sQ60_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f423,f3089]) ).
fof(f3094,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f335,f3020]) ).
fof(f3095,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3094,f126]) ).
fof(f3096,plain,
( ~ sQ101_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3095]) ).
fof(f3111,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ60_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f423,f2632]) ).
fof(f3112,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ60_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f286,f3111]) ).
fof(f3113,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ60_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3112]) ).
fof(f3114,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ60_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3115,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3066,f431,f379]) ).
fof(f3118,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2746,f389,f285]) ).
fof(f3120,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2535,f350,f363]) ).
fof(f3126,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f380,f371]) ).
fof(f3127,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f128]) ).
fof(f3128,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3139,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f263,f105]) ).
fof(f3141,plain,
( sQ78_spl
| ~ sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3090,f230,f422,f536]) ).
fof(f3228,plain,
( sQ100_spl
| ~ sQ21_spl
| op(e1,op(e1,e1)) != e1 ),
inference(backward_demodulation,[status(thm)],[f296,f629]) ).
fof(f3232,plain,
( sQ100_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f296,f3228]) ).
fof(f3233,plain,
( sQ100_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f296,f3232]) ).
fof(f3234,plain,
( sQ100_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3233]) ).
fof(f3235,plain,
( sQ100_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3234]) ).
fof(f3277,plain,
( sQ101_spl
| ~ sQ25_spl
| op(e2,op(e1,e2)) != e1 ),
inference(backward_demodulation,[status(thm)],[f309,f633]) ).
fof(f3281,plain,
( sQ101_spl
| ~ sQ25_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f309,f3277]) ).
fof(f3330,plain,
( sQ102_spl
| ~ sQ28_spl
| op(e3,op(e1,e3)) != e0 ),
inference(backward_demodulation,[status(thm)],[f319,f637]) ).
fof(f3334,plain,
( sQ102_spl
| ~ sQ28_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f319,f3330]) ).
fof(f3359,plain,
( sQ74_spl
| ~ sQ22_spl
| e0 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f299,f523]) ).
fof(f3360,plain,
( sQ74_spl
| ~ sQ22_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f299,f3359]) ).
fof(f3361,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f358,f3360]) ).
fof(f3362,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3361]) ).
fof(f3363,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3362]) ).
fof(f3409,plain,
( sQ88_spl
| ~ sQ23_spl
| e0 != op(e1,op(e3,op(e1,e1))) ),
inference(forward_demodulation,[status(thm)],[f302,f578]) ).
fof(f3410,plain,
( sQ88_spl
| ~ sQ23_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f302,f3409]) ).
fof(f3561,plain,
( sQ79_spl
| ~ sQ43_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f367,f542]) ).
fof(f3562,plain,
( sQ79_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f367,f3561]) ).
fof(f3567,plain,
( ~ sQ92_spl
| ~ sQ3_spl
| e3 = op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f237,f594]) ).
fof(f3568,plain,
( ~ sQ92_spl
| ~ sQ3_spl
| e3 = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f237,f3567]) ).
fof(f3569,plain,
( sQ104_spl
| ~ sQ6_spl
| op(e1,e2) != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f247,f647]) ).
fof(f3570,plain,
( sQ104_spl
| ~ sQ6_spl
| ~ sQ26_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f312,f3569]) ).
fof(f3571,plain,
( sQ104_spl
| ~ sQ6_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f247,f3570]) ).
fof(f3572,plain,
( sQ104_spl
| ~ sQ6_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3571]) ).
fof(f3573,plain,
( sQ104_spl
| ~ sQ6_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3572]) ).
fof(f3611,plain,
( sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f280,f2798]) ).
fof(f3612,plain,
( sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f345,f3611]) ).
fof(f3613,plain,
( sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3612]) ).
fof(f3614,plain,
( sQ95_spl
| ~ sQ36_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3613]) ).
fof(f3617,plain,
( sQ102_spl
| ~ sQ29_spl
| op(e3,e1) != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f322,f637]) ).
fof(f3618,plain,
( sQ102_spl
| ~ sQ29_spl
| ~ sQ53_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f400,f3617]) ).
fof(f3619,plain,
( sQ102_spl
| ~ sQ29_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f322,f3618]) ).
fof(f3620,plain,
( sQ102_spl
| ~ sQ29_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3619]) ).
fof(f3621,plain,
( sQ102_spl
| ~ sQ29_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3620]) ).
fof(f3655,plain,
( sQ97_spl
| ~ sQ46_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f377,f2812]) ).
fof(f3659,plain,
( sQ94_spl
| ~ sQ33_spl
| op(e0,e1) != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f335,f604]) ).
fof(f3674,plain,
( sQ101_spl
| ~ sQ24_spl
| op(e2,op(e1,e2)) != e0 ),
inference(backward_demodulation,[status(thm)],[f306,f633]) ).
fof(f3678,plain,
( sQ101_spl
| ~ sQ24_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f306,f3674]) ).
fof(f3691,plain,
( sQ97_spl
| ~ sQ46_spl
| ~ sQ58_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f416,f3655]) ).
fof(f3692,plain,
( sQ97_spl
| ~ sQ46_spl
| ~ sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3691]) ).
fof(f3693,plain,
( sQ97_spl
| ~ sQ46_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3703,plain,
( sQ101_spl
| ~ sQ24_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3678,f331,f305,f631]) ).
fof(f3728,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| op(e2,e1) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f257,f650]) ).
fof(f3729,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f257,f3728]) ).
fof(f3843,plain,
( sQ88_spl
| ~ sQ23_spl
| ~ sQ62_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f429,f3410]) ).
fof(f3846,plain,
( sQ69_spl
| ~ sQ62_spl
| e0 != op(op(e3,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f429,f505]) ).
fof(f3851,plain,
( sQ88_spl
| ~ sQ23_spl
| ~ sQ62_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3843,f305,f428,f301,f576]) ).
fof(f3858,plain,
( sQ69_spl
| ~ sQ62_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f429,f3846]) ).
fof(f3866,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2637,f428,f301,f567]) ).
fof(f3886,plain,
( ~ sQ92_spl
| ~ sQ3_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f3568,f101]) ).
fof(f4033,plain,
( sQ94_spl
| ~ sQ33_spl
| ~ sQ5_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f244,f3659]) ).
fof(f4034,plain,
( sQ94_spl
| ~ sQ33_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f335,f4033]) ).
fof(f4035,plain,
( sQ94_spl
| ~ sQ33_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4034]) ).
fof(f4036,plain,
( sQ94_spl
| ~ sQ33_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4035]) ).
fof(f4039,plain,
( sQ99_spl
| ~ sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2865,f259,f285,f623]) ).
fof(f4055,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| op(e2,e1) = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f413,f479]) ).
fof(f4056,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f4055]) ).
fof(f4105,plain,
( sQ105_spl
| ~ sQ11_spl
| op(e2,op(e0,e2)) != e3 ),
inference(backward_demodulation,[status(thm)],[f263,f651]) ).
fof(f4106,plain,
( sQ105_spl
| ~ sQ11_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f263,f4105]) ).
fof(f4139,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(e0,op(op(e0,e0),e1)) ),
inference(backward_demodulation,[status(thm)],[f231,f561]) ).
fof(f4146,plain,
( sQ84_spl
| ~ sQ1_spl
| e2 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f231,f4139]) ).
fof(f4147,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f302,f4146]) ).
fof(f4167,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f273,f4147]) ).
fof(f4168,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4167]) ).
fof(f4169,plain,
( sQ84_spl
| ~ sQ1_spl
| ~ sQ23_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4168]) ).
fof(f4173,plain,
( sQ92_spl
| ~ sQ1_spl
| e3 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f231,f595]) ).
fof(f4174,plain,
( sQ92_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f231,f4173]) ).
fof(f4175,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ23_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f302,f4174]) ).
fof(f4176,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4175]) ).
fof(f4177,plain,
( sQ92_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f4176]) ).
fof(f4190,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2624,f428,f236,f572]) ).
fof(f4222,plain,
( sQ89_spl
| ~ sQ3_spl
| e1 != op(e0,op(e3,op(e0,e0))) ),
inference(forward_demodulation,[status(thm)],[f237,f582]) ).
fof(f4223,plain,
( sQ89_spl
| ~ sQ3_spl
| e1 != op(e0,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f237,f4222]) ).
fof(f4245,plain,
( sQ89_spl
| ~ sQ3_spl
| ~ sQ62_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f429,f4223]) ).
fof(f4254,plain,
( sQ89_spl
| ~ sQ3_spl
| ~ sQ62_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4245,f256,f428,f236,f580]) ).
fof(f4375,plain,
( ~ sQ54_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f403,f124]) ).
fof(f4449,plain,
( sQ81_spl
| ~ sQ1_spl
| e1 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f231,f550]) ).
fof(f4450,plain,
( sQ81_spl
| ~ sQ1_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f231,f4449]) ).
fof(f4451,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f296,f4450]) ).
fof(f4452,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4451]) ).
fof(f4453,plain,
( sQ81_spl
| ~ sQ1_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4452]) ).
fof(f4474,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f328,f319]) ).
fof(f4475,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4474,f128]) ).
fof(f4476,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4475]) ).
fof(f4478,plain,
( ~ sQ92_spl
| ~ sQ3_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3886,f379,f236,f593]) ).
fof(f4498,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2601,f253,f266]) ).
fof(f4500,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1701,f409,f253]) ).
fof(f4501,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2617,f383,f266,f653]) ).
fof(f4524,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f426,f565]) ).
fof(f4525,plain,
( sQ69_spl
| ~ sQ61_spl
| e0 != op(op(e3,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f426,f505]) ).
fof(f4527,plain,
( sQ70_spl
| ~ sQ61_spl
| e2 != op(e3,op(op(e3,e3),e1)) ),
inference(backward_demodulation,[status(thm)],[f426,f508]) ).
fof(f4533,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f4524]) ).
fof(f4534,plain,
( sQ69_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f4525]) ).
fof(f4536,plain,
( sQ70_spl
| ~ sQ61_spl
| e2 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f426,f4527]) ).
fof(f4546,plain,
( sQ65_spl
| ~ sQ50_spl
| op(e0,op(e3,e0)) != e2 ),
inference(backward_demodulation,[status(thm)],[f390,f472]) ).
fof(f4547,plain,
( sQ65_spl
| ~ sQ50_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f390,f4546]) ).
fof(f4550,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f325,f110]) ).
fof(f4565,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e1,op(e1,e1)) = e0 ),
inference(backward_demodulation,[status(thm)],[f293,f628]) ).
fof(f4566,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f293,f4565]) ).
fof(f4642,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| op(e3,op(e2,e3)) = e0 ),
inference(backward_demodulation,[status(thm)],[f371,f615]) ).
fof(f4646,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f371,f4642]) ).
fof(f4647,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ50_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f390,f4646]) ).
fof(f4648,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4647,f127]) ).
fof(f4649,plain,
( ~ sQ97_spl
| ~ sQ44_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4648]) ).
fof(f4705,plain,
( sQ69_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f293,f4534]) ).
fof(f4706,plain,
( sQ69_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4705]) ).
fof(f4707,plain,
( sQ69_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4706]) ).
fof(f4710,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f283,f4566]) ).
fof(f4711,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4710,f126]) ).
fof(f4712,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4711]) ).
fof(f4716,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| ~ sQ44_spl
| e0 = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f371,f2436]) ).
fof(f4717,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f315,f4716]) ).
fof(f4718,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4717,f128]) ).
fof(f4719,plain,
( ~ sQ101_spl
| ~ sQ27_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4718]) ).
fof(f4769,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f293,f4536]) ).
fof(f4770,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f390,f4769]) ).
fof(f4771,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4770]) ).
fof(f4772,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ20_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4771]) ).
fof(f4776,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ61_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f2492]) ).
fof(f4777,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ61_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f247,f4776]) ).
fof(f4778,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ61_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4777]) ).
fof(f4779,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ61_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4778]) ).
fof(f4813,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| op(e1,e2) = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f247,f646]) ).
fof(f4814,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| ~ sQ27_spl
| e3 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f315,f4813]) ).
fof(f4815,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f247,f4814]) ).
fof(f4816,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4815,f131]) ).
fof(f4817,plain,
( ~ sQ104_spl
| ~ sQ6_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4816]) ).
fof(f4818,plain,
( sQ81_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2614,f425,f236,f548]) ).
fof(f4826,plain,
( ~ sQ105_spl
| ~ sQ9_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3729,f347,f256,f649]) ).
fof(f4827,plain,
( sQ101_spl
| ~ sQ25_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3281,f347,f308,f631]) ).
fof(f4828,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4375,f428,f402]) ).
fof(f4835,plain,
( sQ65_spl
| ~ sQ50_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4547,f259,f389,f470]) ).
fof(f4836,plain,
( sQ79_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3562,f425,f366,f540]) ).
fof(f4990,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f276,f96]) ).
fof(f5015,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ61_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f426,f2648]) ).
fof(f5016,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f345,f5015]) ).
fof(f5017,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5016]) ).
fof(f5018,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ61_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f5017]) ).
fof(f5025,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2200,f318,f422]) ).
fof(f5031,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4550,f285,f324]) ).
fof(f5039,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1907,f253,f227]) ).
fof(f5048,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1945,f402,f246]) ).
fof(f5063,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f319,f325]) ).
fof(f5064,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5063,f127]) ).
fof(f5065,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f5064]) ).
fof(f5083,plain,
( ~ sQ81_spl
| ~ sQ0_spl
| e1 = op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f228,f549]) ).
fof(f5084,plain,
( ~ sQ81_spl
| ~ sQ0_spl
| e1 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f228,f5083]) ).
fof(f5085,plain,
( ~ sQ81_spl
| ~ sQ0_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f228,f5084]) ).
fof(f5086,plain,
( ~ sQ81_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5085,f126]) ).
fof(f5087,plain,
( ~ sQ81_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5086]) ).
fof(f5142,plain,
( sQ104_spl
| ~ sQ7_spl
| op(e1,e3) != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f250,f647]) ).
fof(f5143,plain,
( sQ104_spl
| ~ sQ7_spl
| op(e1,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f250,f5142]) ).
fof(f5252,plain,
( sQ105_spl
| ~ sQ8_spl
| op(e2,e0) != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f254,f651]) ).
fof(f5253,plain,
( sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl
| e0 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f332,f5252]) ).
fof(f5254,plain,
( sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f254,f5253]) ).
fof(f5255,plain,
( sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5254]) ).
fof(f5256,plain,
( sQ105_spl
| ~ sQ8_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5255]) ).
fof(f5289,plain,
( sQ106_spl
| ~ sQ13_spl
| op(e3,e1) != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f270,f655]) ).
fof(f5290,plain,
( sQ106_spl
| ~ sQ13_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f270,f5289]) ).
fof(f5300,plain,
( ~ sQ53_spl
| sQ106_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f5290]) ).
fof(f5301,plain,
( ~ sQ53_spl
| sQ106_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5300]) ).
fof(f5303,plain,
( sQ99_spl
| ~ sQ19_spl
| op(e0,e3) != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f289,f625]) ).
fof(f5317,plain,
( sQ102_spl
| ~ sQ28_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3334,f383,f318,f635]) ).
fof(f5356,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| op(e3,e0) = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f319,f636]) ).
fof(f5357,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f319,f5356]) ).
fof(f5358,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| op(e2,e0) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f254,f650]) ).
fof(f5359,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f254,f5358]) ).
fof(f5377,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e1,op(e2,op(e1,e1))) ),
inference(forward_demodulation,[status(thm)],[f299,f526]) ).
fof(f5378,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f299,f5377]) ).
fof(f5437,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f244,f85]) ).
fof(f5442,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f387,f5357]) ).
fof(f5443,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5442,f126]) ).
fof(f5444,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f5443]) ).
fof(f5452,plain,
( sQ99_spl
| ~ sQ19_spl
| ~ sQ15_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f276,f5303]) ).
fof(f5453,plain,
( sQ99_spl
| ~ sQ19_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f289,f5452]) ).
fof(f5454,plain,
( sQ99_spl
| ~ sQ19_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5453]) ).
fof(f5455,plain,
( sQ99_spl
| ~ sQ19_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f5454]) ).
fof(f5463,plain,
( sQ65_spl
| ~ sQ49_spl
| op(e0,e1) != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f387,f472]) ).
fof(f5464,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ5_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f244,f5463]) ).
fof(f5465,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ5_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f387,f5464]) ).
fof(f5466,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5465]) ).
fof(f5467,plain,
( sQ65_spl
| ~ sQ49_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f5466]) ).
fof(f5507,plain,
( sQ82_spl
| ~ sQ1_spl
| e3 != op(e0,op(op(e0,e0),e1)) ),
inference(backward_demodulation,[status(thm)],[f231,f553]) ).
fof(f5513,plain,
( sQ82_spl
| ~ sQ1_spl
| e3 != op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f231,f5507]) ).
fof(f5514,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f299,f5513]) ).
fof(f5592,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f263,f5514]) ).
fof(f5593,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5592]) ).
fof(f5594,plain,
( sQ82_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f5593]) ).
fof(f5598,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(e1,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f231,f574]) ).
fof(f5599,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f231,f5598]) ).
fof(f5600,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f299,f5599]) ).
fof(f5601,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5600]) ).
fof(f5602,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5601]) ).
fof(f5638,plain,
( sQ67_spl
| ~ sQ56_spl
| op(e2,e0) != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f410,f480]) ).
fof(f5639,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ32_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f332,f5638]) ).
fof(f5640,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ32_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f410,f5639]) ).
fof(f5641,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5640]) ).
fof(f5642,plain,
( sQ67_spl
| ~ sQ56_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5641]) ).
fof(f5649,plain,
( ~ sQ102_spl
| ~ sQ28_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f5357,f383,f318,f635]) ).
fof(f5650,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| op(e0,e1) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f231,f642]) ).
fof(f5651,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e0 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f241,f5650]) ).
fof(f5652,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f231,f5651]) ).
fof(f5653,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5652,f126]) ).
fof(f5654,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f5653]) ).
fof(f5666,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| op(e2,e3) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f263,f650]) ).
fof(f5667,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f263,f5666]) ).
fof(f5679,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f296,f111]) ).
fof(f5753,plain,
( sQ95_spl
| ~ sQ38_spl
| op(e1,e2) != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f351,f608]) ).
fof(f5754,plain,
( sQ95_spl
| ~ sQ38_spl
| ~ sQ26_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f312,f5753]) ).
fof(f5755,plain,
( sQ95_spl
| ~ sQ38_spl
| ~ sQ26_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f351,f5754]) ).
fof(f5756,plain,
( sQ95_spl
| ~ sQ38_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5755]) ).
fof(f5757,plain,
( sQ95_spl
| ~ sQ38_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5756]) ).
fof(f5764,plain,
( ~ sQ105_spl
| ~ sQ8_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f5359,f331,f253,f649]) ).
fof(f5770,plain,
( ~ sQ67_spl
| ~ sQ57_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f4056,f347,f412,f478]) ).
fof(f5796,plain,
( sQ89_spl
| ~ sQ2_spl
| e1 != op(e0,op(e2,op(e0,e0))) ),
inference(forward_demodulation,[status(thm)],[f234,f582]) ).
fof(f5797,plain,
( sQ89_spl
| ~ sQ2_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f234,f5796]) ).
fof(f5798,plain,
( sQ89_spl
| ~ sQ2_spl
| ~ sQ43_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f367,f5797]) ).
fof(f5803,plain,
( sQ82_spl
| ~ sQ2_spl
| e3 != op(e0,op(e2,op(e0,e0))) ),
inference(forward_demodulation,[status(thm)],[f234,f553]) ).
fof(f5804,plain,
( sQ82_spl
| ~ sQ2_spl
| e3 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f234,f5803]) ).
fof(f5911,plain,
( ~ sQ13_spl
| sQ89_spl
| ~ sQ2_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f5798]) ).
fof(f5912,plain,
( ~ sQ13_spl
| sQ89_spl
| ~ sQ2_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5911]) ).
fof(f5970,plain,
( ~ sQ105_spl
| ~ sQ11_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f5667,f379,f262,f649]) ).
fof(f6043,plain,
( sQ72_spl
| ~ sQ40_spl
| e3 != op(e2,op(e0,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f358,f515]) ).
fof(f6044,plain,
( sQ72_spl
| ~ sQ40_spl
| e3 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f358,f6043]) ).
fof(f6045,plain,
( sQ72_spl
| ~ sQ40_spl
| ~ sQ1_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f231,f6044]) ).
fof(f6046,plain,
( sQ72_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f354,f6045]) ).
fof(f6047,plain,
( sQ72_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6046]) ).
fof(f6048,plain,
( sQ72_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6047]) ).
fof(f6054,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f263,f92]) ).
fof(f6062,plain,
( sQ105_spl
| ~ sQ11_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4106,f379,f262,f649]) ).
fof(f6071,plain,
( sQ106_spl
| ~ sQ14_spl
| op(e3,e2) != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f273,f655]) ).
fof(f6072,plain,
( sQ106_spl
| ~ sQ14_spl
| op(e3,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f273,f6071]) ).
fof(f6073,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f289,f286]) ).
fof(f6074,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6073,f131]) ).
fof(f6075,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f6074]) ).
fof(f6137,plain,
( sQ73_spl
| ~ sQ60_spl
| e1 != op(e3,op(e0,op(e3,e3))) ),
inference(forward_demodulation,[status(thm)],[f423,f519]) ).
fof(f6138,plain,
( sQ73_spl
| ~ sQ60_spl
| e1 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f423,f6137]) ).
fof(f6139,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ2_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f234,f6138]) ).
fof(f6140,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f413,f6139]) ).
fof(f6141,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6140]) ).
fof(f6142,plain,
( sQ73_spl
| ~ sQ60_spl
| ~ sQ2_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f6141]) ).
fof(f6176,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(e3,op(op(e3,e3),e1)) ),
inference(backward_demodulation,[status(thm)],[f426,f546]) ).
fof(f6177,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f426,f6176]) ).
fof(f6355,plain,
( sQ97_spl
| ~ sQ44_spl
| op(e3,e0) != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f371,f616]) ).
fof(f6358,plain,
( sQ94_spl
| ~ sQ35_spl
| op(e0,e3) != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f341,f604]) ).
fof(f6359,plain,
( sQ94_spl
| ~ sQ35_spl
| ~ sQ15_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f276,f6358]) ).
fof(f6360,plain,
( sQ94_spl
| ~ sQ35_spl
| ~ sQ15_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f341,f6359]) ).
fof(f6361,plain,
( sQ94_spl
| ~ sQ35_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6360]) ).
fof(f6362,plain,
( sQ94_spl
| ~ sQ35_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f6361]) ).
fof(f6363,plain,
( sQ82_spl
| ~ sQ2_spl
| ~ sQ41_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f361,f5804]) ).
fof(f6373,plain,
( sQ97_spl
| ~ sQ44_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f371,f6355]) ).
fof(f6465,plain,
( ~ sQ7_spl
| sQ82_spl
| ~ sQ2_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f6363]) ).
fof(f6466,plain,
( ~ sQ7_spl
| sQ82_spl
| ~ sQ2_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f6465]) ).
fof(f6471,plain,
( ~ sQ35_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f341,f114]) ).
fof(f6472,plain,
( sQ104_spl
| ~ sQ7_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f5143,f327,f249,f645]) ).
fof(f6556,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f309,f716]) ).
fof(f6601,plain,
( sQ80_spl
| ~ sQ62_spl
| e0 != op(e3,op(e2,op(e3,e3))) ),
inference(forward_demodulation,[status(thm)],[f429,f546]) ).
fof(f6602,plain,
( sQ80_spl
| ~ sQ62_spl
| e0 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f429,f6601]) ).
fof(f6605,plain,
( sQ66_spl
| ~ sQ52_spl
| op(e1,e0) != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f397,f476]) ).
fof(f6606,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ16_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f280,f6605]) ).
fof(f6607,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ16_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f397,f6606]) ).
fof(f6608,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6607]) ).
fof(f6609,plain,
( sQ66_spl
| ~ sQ52_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f6608]) ).
fof(f6614,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f5437,f347,f243]) ).
fof(f6632,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4990,f327,f275]) ).
fof(f6636,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6471,f353,f340]) ).
fof(f6654,plain,
( ~ sQ39_spl
| ~ sQ101_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f6556,f354]) ).
fof(f6655,plain,
( ~ sQ39_spl
| ~ sQ101_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6654,f130]) ).
fof(f6656,plain,
( ~ sQ39_spl
| ~ sQ101_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f6655]) ).
fof(f6661,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1668,f295,f347]) ).
fof(f6686,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6054,f418,f262]) ).
fof(f6689,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3139,f249,f262]) ).
fof(f6699,plain,
( sQ69_spl
| ~ sQ62_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3858,f357,f428,f503]) ).
fof(f6707,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f6556,f114]) ).
fof(f6723,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f5679,f308,f295]) ).
fof(f6732,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f309,f312]) ).
fof(f6733,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6732,f129]) ).
fof(f6734,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f6733]) ).
fof(f6782,plain,
( sQ72_spl
| ~ sQ41_spl
| e3 != op(e2,op(e1,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f361,f515]) ).
fof(f6783,plain,
( sQ72_spl
| ~ sQ41_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f361,f6782]) ).
fof(f6784,plain,
( sQ72_spl
| ~ sQ41_spl
| ~ sQ20_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f293,f6783]) ).
fof(f6891,plain,
( ~ sQ35_spl
| sQ72_spl
| ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f6784]) ).
fof(f6892,plain,
( ~ sQ35_spl
| sQ72_spl
| ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f6891]) ).
fof(f6897,plain,
( sQ71_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2816,f422,f366,f510]) ).
fof(f7074,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| op(e0,e1) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f335,f603]) ).
fof(f7075,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| ~ sQ7_spl
| e3 = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f250,f7074]) ).
fof(f7076,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f335,f7075]) ).
fof(f7077,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7076,f130]) ).
fof(f7078,plain,
( ~ sQ94_spl
| ~ sQ33_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f7077]) ).
fof(f7079,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| op(e2,e3) = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f367,f611]) ).
fof(f7080,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ46_spl
| e2 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f377,f7079]) ).
fof(f7081,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ46_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f367,f7080]) ).
fof(f7082,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7081,f131]) ).
fof(f7083,plain,
( ~ sQ96_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f7082]) ).
fof(f7124,plain,
( sQ76_spl
| ~ sQ43_spl
| e1 != op(e2,op(e3,op(e2,e2))) ),
inference(forward_demodulation,[status(thm)],[f367,f530]) ).
fof(f7125,plain,
( sQ76_spl
| ~ sQ43_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f367,f7124]) ).
fof(f7126,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ60_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f423,f7125]) ).
fof(f7127,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f335,f7126]) ).
fof(f7128,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7127]) ).
fof(f7129,plain,
( sQ76_spl
| ~ sQ43_spl
| ~ sQ60_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f7128]) ).
fof(f7160,plain,
( sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f361,f6602]) ).
fof(f7237,plain,
( ~ sQ52_spl
| sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f7160]) ).
fof(f7238,plain,
( ~ sQ52_spl
| sQ80_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f7237]) ).
fof(f7242,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(e2,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f429,f538]) ).
fof(f7243,plain,
( sQ78_spl
| ~ sQ62_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f429,f7242]) ).
fof(f7244,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f361,f7243]) ).
fof(f7245,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7244]) ).
fof(f7246,plain,
( sQ78_spl
| ~ sQ62_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f7245]) ).
fof(f7315,plain,
( sQ73_spl
| ~ sQ62_spl
| e1 != op(e3,op(e2,op(e3,e3))) ),
inference(forward_demodulation,[status(thm)],[f429,f519]) ).
fof(f7316,plain,
( sQ73_spl
| ~ sQ62_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f429,f7315]) ).
fof(f7318,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ40_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f7316]) ).
fof(f7323,plain,
( sQ73_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f7318,f386,f357,f428,f517]) ).
fof(f7333,plain,
( sQ106_spl
| ~ sQ14_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6072,f415,f272,f653]) ).
fof(f7334,plain,
( sQ97_spl
| ~ sQ44_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f6373,f383,f370,f614]) ).
fof(f7505,plain,
( sQ70_spl
| ~ sQ60_spl
| e2 != op(e3,op(e0,op(e3,e3))) ),
inference(forward_demodulation,[status(thm)],[f423,f508]) ).
fof(f7506,plain,
( sQ70_spl
| ~ sQ60_spl
| e2 != op(e3,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f423,f7505]) ).
fof(f7507,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ1_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f231,f7506]) ).
fof(f7508,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f403,f7507]) ).
fof(f7509,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7508]) ).
fof(f7510,plain,
( sQ70_spl
| ~ sQ60_spl
| ~ sQ1_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f7509]) ).
fof(f7572,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ40_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f5378]) ).
fof(f7647,plain,
( ~ sQ19_spl
| sQ75_spl
| ~ sQ22_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f7572]) ).
fof(f7648,plain,
( ~ sQ19_spl
| sQ75_spl
| ~ sQ22_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f7647]) ).
fof(f7654,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4533,f298,f425,f563]) ).
fof(f7693,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| op(e1,e2) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f299,f628]) ).
fof(f7694,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ25_spl
| e1 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f309,f7693]) ).
fof(f7695,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ25_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f299,f7694]) ).
fof(f7696,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7695,f129]) ).
fof(f7697,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f7696]) ).
fof(f7703,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f299,f6177]) ).
fof(f7707,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f6556,f347,f308,f631]) ).
fof(f7710,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6707,f334,f308,f631]) ).
fof(f7729,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f299,f590]) ).
fof(f7730,plain,
( sQ91_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f299,f7729]) ).
fof(f7832,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f410,f7703]) ).
fof(f7833,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7832]) ).
fof(f7834,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ22_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f7833]) ).
fof(f7840,plain,
( sQ91_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f7730,f366,f298,f588]) ).
fof(f7896,plain,
( sQ88_spl
| ~ sQ22_spl
| e0 != op(e1,op(e2,op(e1,e1))) ),
inference(forward_demodulation,[status(thm)],[f299,f578]) ).
fof(f7897,plain,
( sQ88_spl
| ~ sQ22_spl
| e0 != op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f299,f7896]) ).
fof(f7990,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f367,f7897]) ).
fof(f7991,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f319,f7990]) ).
fof(f7992,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7991]) ).
fof(f7993,plain,
( sQ88_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f7992]) ).
fof(f7994,plain,
$false,
inference(sat_refutation,[status(thm)],[f239,f252,f265,f278,f291,f304,f317,f330,f343,f356,f369,f382,f395,f408,f421,f434,f435,f436,f437,f438,f439,f440,f441,f442,f443,f444,f445,f446,f447,f448,f449,f450,f451,f452,f453,f454,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f473,f477,f481,f485,f486,f488,f489,f490,f491,f493,f494,f495,f496,f498,f499,f500,f501,f509,f516,f520,f527,f531,f535,f539,f543,f547,f554,f558,f562,f566,f570,f571,f575,f579,f583,f587,f591,f592,f596,f597,f598,f605,f609,f613,f617,f618,f626,f630,f634,f638,f639,f640,f644,f648,f652,f656,f657,f670,f676,f707,f710,f735,f749,f753,f757,f760,f763,f768,f773,f777,f780,f783,f786,f789,f793,f796,f797,f801,f804,f807,f811,f814,f817,f820,f823,f827,f830,f831,f834,f839,f847,f848,f852,f855,f856,f857,f869,f873,f878,f881,f884,f885,f886,f887,f888,f889,f890,f903,f905,f912,f937,f938,f939,f942,f943,f944,f947,f960,f966,f968,f970,f971,f1006,f1007,f1008,f1010,f1013,f1014,f1017,f1018,f1019,f1022,f1023,f1024,f1042,f1043,f1044,f1045,f1046,f1058,f1059,f1062,f1065,f1071,f1093,f1098,f1099,f1100,f1101,f1103,f1262,f1267,f1270,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1295,f1296,f1297,f1298,f1299,f1346,f1349,f1350,f1375,f1381,f1385,f1386,f1395,f1543,f1548,f1552,f1560,f1561,f1562,f1563,f1564,f1565,f1566,f1567,f1569,f1570,f1572,f1573,f1574,f1575,f1576,f1577,f1598,f1599,f1605,f1606,f1637,f1641,f1642,f1644,f1646,f1649,f1689,f1690,f1691,f1692,f1693,f1694,f1773,f1969,f1976,f1999,f2187,f2188,f2243,f2246,f2445,f2446,f2447,f2466,f2596,f2612,f2822,f2951,f2959,f2991,f2992,f3007,f3015,f3096,f3114,f3115,f3118,f3120,f3128,f3141,f3235,f3363,f3573,f3614,f3621,f3693,f3703,f3851,f3866,f4036,f4039,f4169,f4177,f4190,f4254,f4453,f4476,f4478,f4498,f4500,f4501,f4649,f4707,f4712,f4719,f4772,f4779,f4817,f4818,f4826,f4827,f4828,f4835,f4836,f5018,f5025,f5031,f5039,f5048,f5065,f5087,f5256,f5301,f5317,f5444,f5455,f5467,f5594,f5602,f5642,f5649,f5654,f5757,f5764,f5770,f5912,f5970,f6048,f6062,f6075,f6142,f6362,f6466,f6472,f6609,f6614,f6632,f6636,f6656,f6661,f6686,f6689,f6699,f6723,f6734,f6892,f6897,f7078,f7083,f7129,f7238,f7246,f7323,f7333,f7334,f7510,f7648,f7654,f7697,f7707,f7710,f7834,f7840,f7993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG150+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:04:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 3.20/0.86 % Refutation found
% 3.20/0.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.20/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.20/0.88 % Elapsed time: 0.510583 seconds
% 3.20/0.88 % CPU time: 3.690121 seconds
% 3.20/0.88 % Total memory used: 65.242 MB
% 3.20/0.88 % Net memory used: 63.848 MB
%------------------------------------------------------------------------------