%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG046+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 : n014.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 11:47:53 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.54s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 104
% Syntax : Number of formulae : 870 ( 61 unt; 86 def)
% Number of atoms : 2434 (1029 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2925 (1361 ~;1333 |; 145 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 88 ( 86 usr; 87 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 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,
( ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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(f4,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(f5,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0))
& e2 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e2 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f64,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f124,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f133,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f136,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f143,plain,
( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f148,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f150,plain,
( e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f157,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f158,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f163,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f164,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f166,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f168,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f171,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f172,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f177,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f178,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f187,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f190,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f192,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f195,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f195,f198,f201,f204]) ).
fof(f208,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f32,f208,f211,f214,f217]) ).
fof(f221,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f224,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f230,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f234,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f34,f234,f237,f240,f243]) ).
fof(f247,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f35,f247,f250,f253,f256]) ).
fof(f260,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f36,f260,f263,f266,f269]) ).
fof(f273,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f282,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f286,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f292,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f38,f286,f289,f292,f295]) ).
fof(f299,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f308,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f39,f299,f302,f305,f308]) ).
fof(f312,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f40,f312,f315,f318,f321]) ).
fof(f325,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f41,f325,f328,f331,f334]) ).
fof(f338,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f42,f338,f341,f344,f347]) ).
fof(f351,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f364,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f44,f364,f367,f370,f373]) ).
fof(f377,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ58_spl
| op(e3,e2) != e2 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f45,f377,f380,f383,f386]) ).
fof(f390,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f46,f390,f393,f396,f399]) ).
fof(f403,definition,
( sQ64_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ64_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ65_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ65_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ66_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ66_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ67_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ67_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f55,f403,f406,f409,f412]) ).
fof(f418,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f58,f198,f211,f224,f237]) ).
fof(f419,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f59,f198,f250,f302,f354]) ).
fof(f421,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f61,f201,f253,f305,f357]) ).
fof(f422,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f62,f204,f217,f230,f243]) ).
fof(f424,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f64,f247,f260,f273,f286]) ).
fof(f425,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f65,f208,f260,f312,f364]) ).
fof(f428,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f68,f253,f266,f279,f292]) ).
fof(f429,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f69,f214,f266,f318,f370]) ).
fof(f430,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f70,f256,f269,f282,f295]) ).
fof(f432,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f72,f299,f312,f325,f338]) ).
fof(f433,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f73,f221,f273,f325,f377]) ).
fof(f434,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f74,f302,f315,f328,f341]) ).
fof(f436,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f76,f305,f318,f331,f344]) ).
fof(f437,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f77,f227,f279,f331,f383]) ).
fof(f438,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f78,f308,f321,f334,f347]) ).
fof(f440,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f80,f351,f364,f377,f390]) ).
fof(f441,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f81,f234,f286,f338,f390]) ).
fof(f442,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f82,f354,f367,f380,f393]) ).
fof(f443,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f83,f237,f289,f341,f393]) ).
fof(f444,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f84,f357,f370,f383,f396]) ).
fof(f445,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f85,f240,f292,f344,f396]) ).
fof(f448,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f143,f195,f260,f325,f390]) ).
fof(f449,plain,
( ~ sQ61_spl
| ~ sQ41_spl
| ~ sQ21_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f144,f198,f263,f328,f393]) ).
fof(f450,plain,
( ~ sQ62_spl
| ~ sQ42_spl
| ~ sQ22_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f145,f201,f266,f331,f396]) ).
fof(f451,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| ~ sQ23_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f146,f204,f269,f334,f399]) ).
fof(f452,definition,
( sQ68_spl
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( sQ68_spl
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ69_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ69_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ23_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f148,f452,f455,f269]) ).
fof(f459,definition,
( sQ70_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ70_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( ~ sQ22_spl
| ~ sQ70_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f150,f452,f459,f266]) ).
fof(f470,definition,
( sQ73_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ73_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f474,definition,
( sQ74_spl
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ74_spl
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f481,definition,
( sQ76_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ76_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f158,f474,f481,f393]) ).
fof(f485,definition,
( sQ77_spl
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ77_spl
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f496,definition,
( sQ80_spl
<=> e1 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ80_spl
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ81_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ81_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( ~ sQ43_spl
| ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f164,f496,f499,f334]) ).
fof(f503,plain,
( ~ sQ40_spl
| ~ sQ73_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f166,f496,f470,f325]) ).
fof(f504,definition,
( sQ82_spl
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( sQ82_spl
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ83_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ83_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ62_spl
| ~ sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f168,f504,f507,f396]) ).
fof(f512,definition,
( sQ84_spl
<=> e2 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ84_spl
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ85_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ85_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ3_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f172,f512,f515,f204]) ).
fof(f520,definition,
( sQ86_spl
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( sQ86_spl
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ87_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ87_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f527,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f178,f520,f459,f260]) ).
fof(f528,definition,
( sQ88_spl
<=> e2 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ88_spl
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ61_spl
| ~ sQ83_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f180,f528,f507,f393]) ).
fof(f538,definition,
( sQ90_spl
<=> e3 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ90_spl
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f188,f538,f523,f266]) ).
fof(f542,plain,
( ~ sQ20_spl
| ~ sQ69_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f190,f538,f455,f260]) ).
fof(f543,definition,
( sQ91_spl
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ91_spl
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ41_spl
| ~ sQ81_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f192,f543,f499,f328]) ).
fof(f548,plain,
( ~ sQ67_spl
| op(e3,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f413,f49]) ).
fof(f549,plain,
( ~ sQ67_spl
| op(e0,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f413,f48]) ).
fof(f550,plain,
( ~ sQ67_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f413,f47]) ).
fof(f551,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f410]) ).
fof(f552,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f141]) ).
fof(f553,plain,
( ~ sQ66_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( ~ sQ65_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f407,f50]) ).
fof(f555,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f407,f404]) ).
fof(f556,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f136]) ).
fof(f557,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( ~ sQ66_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f410,f51]) ).
fof(f561,plain,
( ~ sQ64_spl
| ~ sQ66_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f410,f404]) ).
fof(f562,plain,
( ~ sQ64_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f137]) ).
fof(f563,plain,
( ~ sQ64_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ sQ65_spl
| op(e1,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f407,f53]) ).
fof(f567,plain,
( ~ sQ65_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f407,f54]) ).
fof(f568,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f407,f413]) ).
fof(f569,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f140]) ).
fof(f570,plain,
( ~ sQ67_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f569]) ).
fof(f575,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f361,f90]) ).
fof(f576,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f348,f345]) ).
fof(f577,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f141]) ).
fof(f578,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f361,f93]) ).
fof(f580,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f296,f293]) ).
fof(f581,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f141]) ).
fof(f582,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f244,f241]) ).
fof(f584,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f141]) ).
fof(f585,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f387,f384]) ).
fof(f587,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f141]) ).
fof(f588,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f374,f371]) ).
fof(f590,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f141]) ).
fof(f591,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f361,f358]) ).
fof(f593,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f141]) ).
fof(f594,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f368,f96]) ).
fof(f596,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f368,f98]) ).
fof(f597,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f342,f339]) ).
fof(f598,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f136]) ).
fof(f599,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f368,f99]) ).
fof(f604,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f238,f235]) ).
fof(f605,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f136]) ).
fof(f606,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f381,f378]) ).
fof(f608,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f136]) ).
fof(f609,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f368,f365]) ).
fof(f611,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f136]) ).
fof(f612,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f355,f352]) ).
fof(f614,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f136]) ).
fof(f615,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f231,f102]) ).
fof(f618,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f231,f101]) ).
fof(f619,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f617,f386,f230]) ).
fof(f620,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f322,f97]) ).
fof(f621,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f322,f95]) ).
fof(f623,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f309,f91]) ).
fof(f624,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f309,f89]) ).
fof(f628,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f322,f319]) ).
fof(f629,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f141]) ).
fof(f630,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f634,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f277,f104]) ).
fof(f635,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f634,f380,f276]) ).
fof(f639,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f316,f313]) ).
fof(f640,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f136]) ).
fof(f641,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f303,f300]) ).
fof(f643,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f136]) ).
fof(f644,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f257,f88]) ).
fof(f647,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f218,f215]) ).
fof(f648,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f141]) ).
fof(f649,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f257,f254]) ).
fof(f651,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f141]) ).
fof(f652,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f657,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f212,f209]) ).
fof(f658,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f136]) ).
fof(f659,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f251,f248]) ).
fof(f661,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f136]) ).
fof(f662,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f663,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f400,f111]) ).
fof(f664,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f400,f110]) ).
fof(f665,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f400,f108]) ).
fof(f666,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f663,f347,f399]) ).
fof(f667,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f664,f295,f399]) ).
fof(f668,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f274,f283]) ).
fof(f669,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f138]) ).
fof(f670,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f332,f105]) ).
fof(f673,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f196,f114]) ).
fof(f674,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f196,f113]) ).
fof(f675,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f674,f221,f195]) ).
fof(f678,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f332,f326]) ).
fof(f679,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f137]) ).
fof(f680,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f264,f261]) ).
fof(f682,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f136]) ).
fof(f683,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f196,f202]) ).
fof(f685,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f137]) ).
fof(f686,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f196,f199]) ).
fof(f688,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f136]) ).
fof(f689,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( ~ sQ64_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f692,f116]) ).
fof(f691,plain,
( ~ sQ64_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f692,f115]) ).
fof(f692,plain,
( ~ sQ64_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f404,f49]) ).
fof(f693,plain,
( ~ sQ64_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f690,f237,f403]) ).
fof(f695,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f600,f315,f367]) ).
fof(f696,plain,
( ~ sQ66_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f558,f331,f409]) ).
fof(f698,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f329,f332]) ).
fof(f699,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f139]) ).
fof(f700,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f596,f263,f367]) ).
fof(f702,plain,
( ~ sQ65_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f565,f295,f406]) ).
fof(f703,plain,
( ~ sQ65_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f567,f373,f406]) ).
fof(f704,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f665,f243,f399]) ).
fof(f705,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f575,f204,f360]) ).
fof(f706,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f595,f211,f367]) ).
fof(f710,plain,
( ~ sQ64_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f404,f48]) ).
fof(f712,plain,
( ~ sQ64_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f715,f120]) ).
fof(f713,plain,
( ~ sQ64_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f715,f119]) ).
fof(f715,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f404,f50]) ).
fof(f716,plain,
( ~ sQ64_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f712,f289,f403]) ).
fof(f717,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f672,f383,f331]) ).
fof(f721,plain,
( ~ sQ66_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f410,f52]) ).
fof(f723,plain,
( ~ sQ66_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f54]) ).
fof(f724,plain,
( ~ sQ66_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f721,f125]) ).
fof(f725,plain,
( ~ sQ66_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f727,f109]) ).
fof(f726,plain,
( ~ sQ66_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f727,f107]) ).
fof(f727,plain,
( ~ sQ66_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f53]) ).
fof(f728,plain,
( ~ sQ66_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f726,f243,f409]) ).
fof(f729,plain,
( ~ sQ64_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f692,f211,f403]) ).
fof(f730,plain,
( ~ sQ64_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f691,f224,f403]) ).
fof(f731,plain,
( ~ sQ64_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f710,f195,f403]) ).
fof(f732,plain,
( ~ sQ64_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f713,f276,f403]) ).
fof(f733,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f624,f204,f308]) ).
fof(f738,plain,
( ~ sQ65_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f740,f122]) ).
fof(f739,plain,
( ~ sQ65_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f740,f121]) ).
fof(f740,plain,
( ~ sQ65_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f407,f49]) ).
fof(f741,plain,
( ~ sQ65_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f738,f289,f406]) ).
fof(f742,plain,
( ~ sQ65_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f739,f276,f406]) ).
fof(f743,plain,
( ~ sQ66_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f723,f386,f409]) ).
fof(f744,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f579,f308,f360]) ).
fof(f745,plain,
( ~ sQ65_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f554,f263,f406]) ).
fof(f747,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f673,f234,f195]) ).
fof(f748,plain,
( ~ sQ66_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f724,f305,f409]) ).
fof(f752,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f270,f267]) ).
fof(f753,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f141]) ).
fof(f754,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f758,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f391,f134]) ).
fof(f759,plain,
( ~ sQ65_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f407,f47]) ).
fof(f760,plain,
( ~ sQ65_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f407,f48]) ).
fof(f761,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f391,f135]) ).
fof(f764,plain,
( ~ sQ65_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f407,f53]) ).
fof(f766,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f623,f256,f308]) ).
fof(f770,plain,
( ~ sQ64_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f772,f131]) ).
fof(f771,plain,
( ~ sQ64_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f772,f130]) ).
fof(f772,plain,
( ~ sQ64_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f404,f54]) ).
fof(f773,plain,
( ~ sQ64_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f771,f373,f403]) ).
fof(f774,plain,
( ~ sQ66_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f725,f295,f409]) ).
fof(f775,plain,
( ~ sQ56_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f761]) ).
fof(f776,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f781,plain,
( ~ sQ65_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f784,f128]) ).
fof(f782,plain,
( ~ sQ65_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f784,f127]) ).
fof(f783,plain,
( ~ sQ65_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f784,f124]) ).
fof(f784,plain,
( ~ sQ65_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f407,f52]) ).
fof(f785,plain,
( ~ sQ65_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f781,f344,f406]) ).
fof(f786,plain,
( ~ sQ65_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f782,f331,f406]) ).
fof(f787,plain,
( ~ sQ65_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f783,f305,f406]) ).
fof(f788,plain,
( ~ sQ64_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f772,f360,f403]) ).
fof(f789,plain,
( ~ sQ64_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f770,f386,f403]) ).
fof(f790,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f646,f204,f256]) ).
fof(f794,plain,
( ~ sQ66_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f49]) ).
fof(f796,plain,
( ~ sQ66_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f797,f126]) ).
fof(f797,plain,
( ~ sQ66_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f53]) ).
fof(f798,plain,
( ~ sQ66_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f796,f308,f409]) ).
fof(f821,plain,
( sQ83_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f394,f509]) ).
fof(f822,plain,
( sQ88_spl
| ~ sQ61_spl
| e2 != op(e3,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f394,f530]) ).
fof(f824,plain,
( sQ83_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f821,f364,f393,f507]) ).
fof(f825,plain,
( sQ74_spl
| ~ sQ61_spl
| e0 != op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f394,f476]) ).
fof(f827,plain,
( ~ sQ64_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f828,f117]) ).
fof(f828,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f404,f51]) ).
fof(f829,plain,
( ~ sQ64_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f827,f240,f403]) ).
fof(f837,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f352,f90]) ).
fof(f838,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f352,f92]) ).
fof(f839,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f352,f93]) ).
fof(f840,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f838,f247,f351]) ).
fof(f841,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f839,f299,f351]) ).
fof(f843,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f348,f339]) ).
fof(f844,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f138]) ).
fof(f845,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f241,f238]) ).
fof(f848,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f139]) ).
fof(f849,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f620,f269,f321]) ).
fof(f851,plain,
( ~ sQ66_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f727,f347,f409]) ).
fof(f852,plain,
( ~ sQ66_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f794,f315,f409]) ).
fof(f854,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f394,f400]) ).
fof(f855,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f140]) ).
fof(f856,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f758,f364,f390]) ).
fof(f858,plain,
( ~ sQ67_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f548,f367,f412]) ).
fof(f859,plain,
( ~ sQ67_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f549,f234,f412]) ).
fof(f860,plain,
( ~ sQ67_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f550,f351,f412]) ).
fof(f868,plain,
( ~ sQ64_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f871,f100]) ).
fof(f869,plain,
( ~ sQ64_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f871,f101]) ).
fof(f870,plain,
( ~ sQ64_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f871,f102]) ).
fof(f871,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f404,f51]) ).
fof(f874,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f404,f50]) ).
fof(f875,plain,
( ~ sQ64_spl
| ~ sQ18_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f254,f874]) ).
fof(f876,plain,
( ~ sQ64_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f139]) ).
fof(f877,plain,
( ~ sQ64_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f254,f759]) ).
fof(f879,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f137]) ).
fof(f880,plain,
( ~ sQ65_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f888,plain,
( ~ sQ65_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f760,f208,f406]) ).
fof(f889,plain,
( ~ sQ65_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f759,f247,f406]) ).
fof(f909,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f837,f195,f351]) ).
fof(f910,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f215,f112]) ).
fof(f915,plain,
( ~ sQ66_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f50]) ).
fof(f930,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f215,f116]) ).
fof(f932,plain,
( ~ sQ66_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f934,f97]) ).
fof(f934,plain,
( ~ sQ66_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f49]) ).
fof(f938,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f215,f115]) ).
fof(f940,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f394,f108]) ).
fof(f943,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f940,f237,f393]) ).
fof(f944,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f215,f209]) ).
fof(f945,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f137]) ).
fof(f946,plain,
( ~ sQ4_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f949,plain,
( ~ sQ66_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f934,f95]) ).
fof(f953,plain,
( ~ sQ66_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f915,f119]) ).
fof(f954,plain,
( ~ sQ17_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f953]) ).
fof(f955,plain,
( ~ sQ17_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f964,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f355,f131]) ).
fof(f970,plain,
( ~ sQ65_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f764,f109]) ).
fof(f1002,plain,
( ~ sQ65_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f407,f54]) ).
fof(f1007,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f355,f358]) ).
fof(f1008,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f139]) ).
fof(f1009,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( ~ sQ65_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1002,f130]) ).
fof(f1012,plain,
( ~ sQ45_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f342,f126]) ).
fof(f1017,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1012,f302,f341]) ).
fof(f1019,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ65_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1002,f822]) ).
fof(f1022,plain,
( ~ sQ37_spl
| ~ sQ65_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f784,f316]) ).
fof(f1023,plain,
( ~ sQ37_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f139]) ).
fof(f1024,plain,
( ~ sQ37_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ~ sQ64_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f868,f279,f403]) ).
fof(f1026,plain,
( ~ sQ64_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f869,f331,f403]) ).
fof(f1027,plain,
( ~ sQ66_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f915,f276,f409]) ).
fof(f1028,plain,
( ~ sQ66_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f932,f263,f409]) ).
fof(f1029,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f964,f380,f354]) ).
fof(f1030,plain,
( ~ sQ64_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f870,f383,f403]) ).
fof(f1052,plain,
( ~ sQ66_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1054,f117]) ).
fof(f1054,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f410,f48]) ).
fof(f1055,plain,
( ~ sQ66_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1052,f234,f409]) ).
fof(f1056,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f621,f217,f321]) ).
fof(f1058,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f938,f227,f214]) ).
fof(f1077,plain,
( ~ sQ67_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f413,f53]) ).
fof(f1082,plain,
( ~ sQ67_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f49]) ).
fof(f1083,plain,
( ~ sQ67_spl
| ~ sQ54_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f371,f1082]) ).
fof(f1084,plain,
( ~ sQ67_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f139]) ).
fof(f1085,plain,
( ~ sQ67_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1089,plain,
( ~ sQ65_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1090,f104]) ).
fof(f1090,plain,
( ~ sQ65_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f407,f51]) ).
fof(f1107,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f209,f116]) ).
fof(f1108,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f209,f115]) ).
fof(f1116,plain,
( sQ77_spl
| ~ sQ1_spl
| e1 != op(e0,op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f199,f487]) ).
fof(f1119,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f209,f1116]) ).
fof(f1120,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ4_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f199,f1119]) ).
fof(f1121,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1120]) ).
fof(f1122,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1140,plain,
( ~ sQ64_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f1143,f124]) ).
fof(f1143,plain,
( ~ sQ64_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f404,f52]) ).
fof(f1145,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f404,f51]) ).
fof(f1156,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f267,f122]) ).
fof(f1159,plain,
( sQ68_spl
| ~ sQ22_spl
| e0 != op(e1,op(e1,e2)) ),
inference(backward_demodulation,[status(thm)],[f267,f454]) ).
fof(f1160,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f267,f98]) ).
fof(f1163,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1156,f292,f266]) ).
fof(f1164,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1160,f370,f266]) ).
fof(f1181,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f329,f105]) ).
fof(f1182,plain,
( sQ91_spl
| ~ sQ41_spl
| e3 != op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f329,f545]) ).
fof(f1194,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f287,f293]) ).
fof(f1195,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1194,f137]) ).
fof(f1196,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f394,f391]) ).
fof(f1198,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f136]) ).
fof(f1199,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1204,plain,
( ~ sQ11_spl
| ~ sQ64_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1145,f231]) ).
fof(f1205,plain,
( ~ sQ11_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f141]) ).
fof(f1206,plain,
( ~ sQ11_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1205]) ).
fof(f1215,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f391,f108]) ).
fof(f1220,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f381,f133]) ).
fof(f1228,plain,
( ~ sQ65_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f407,f51]) ).
fof(f1229,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f274,f1228]) ).
fof(f1230,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f137]) ).
fof(f1231,plain,
( ~ sQ65_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1233,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1108,f221,f208]) ).
fof(f1253,plain,
( ~ sQ66_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f49]) ).
fof(f1255,plain,
( ~ sQ38_spl
| ~ sQ66_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f1253,f319]) ).
fof(f1256,plain,
( ~ sQ38_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f139]) ).
fof(f1257,plain,
( ~ sQ38_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1274,plain,
( ~ sQ64_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f404,f49]) ).
fof(f1276,plain,
( ~ sQ64_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f404,f53]) ).
fof(f1295,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f339,f129]) ).
fof(f1316,plain,
( ~ sQ64_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f1276,f106]) ).
fof(f1340,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f283,f123]) ).
fof(f1355,plain,
( ~ sQ64_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f1274,f95]) ).
fof(f1359,plain,
( ~ sQ44_spl
| op(e2,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f339,f128]) ).
fof(f1360,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f261,f97]) ).
fof(f1363,plain,
( sQ90_spl
| ~ sQ20_spl
| e3 != op(e1,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f261,f540]) ).
fof(f1364,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f261,f98]) ).
fof(f1365,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f261,f122]) ).
fof(f1386,plain,
( sQ74_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f371,f825]) ).
fof(f1393,plain,
( ~ sQ56_spl
| sQ74_spl
| ~ sQ61_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f1386]) ).
fof(f1394,plain,
( ~ sQ56_spl
| sQ74_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
( sQ76_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f394,f483]) ).
fof(f1396,plain,
( sQ76_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f371,f1395]) ).
fof(f1397,plain,
( sQ76_spl
| ~ sQ61_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1396]) ).
fof(f1398,plain,
( sQ76_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1404,plain,
( sQ70_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f261,f461]) ).
fof(f1407,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1340,f295,f282]) ).
fof(f1408,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f339,f107]) ).
fof(f1412,plain,
( ~ sQ67_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1077,f399,f412]) ).
fof(f1417,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1360,f312,f260]) ).
fof(f1418,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1359,f312,f338]) ).
fof(f1420,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f283,f277]) ).
fof(f1421,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1420,f140]) ).
fof(f1422,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( ~ sQ66_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f949,f211,f409]) ).
fof(f1425,plain,
( ~ sQ66_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1054,f221,f409]) ).
fof(f1435,plain,
( ~ sQ65_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f970,f347,f406]) ).
fof(f1436,plain,
( ~ sQ65_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1011,f360,f406]) ).
fof(f1437,plain,
( ~ sQ64_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1140,f318,f403]) ).
fof(f1438,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f930,f240,f214]) ).
fof(f1439,plain,
( ~ sQ64_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1355,f315,f403]) ).
fof(f1440,plain,
( sQ70_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1404,f256,f260,f459]) ).
fof(f1451,plain,
( ~ sQ64_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f1453,f116]) ).
fof(f1453,plain,
( ~ sQ64_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f404,f53]) ).
fof(f1454,plain,
( ~ sQ64_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1451,f217,f403]) ).
fof(f1470,plain,
( ~ sQ32_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f300,f89]) ).
fof(f1471,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f300,f91]) ).
fof(f1475,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f270,f94]) ).
fof(f1492,plain,
( ~ sQ66_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f54]) ).
fof(f1497,plain,
( ~ sQ66_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f1492,f133]) ).
fof(f1550,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f287,f120]) ).
fof(f1551,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f287,f106]) ).
fof(f1557,plain,
( sQ68_spl
| ~ sQ23_spl
| e0 != op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f270,f454]) ).
fof(f1572,plain,
( sQ84_spl
| ~ sQ3_spl
| e2 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f205,f514]) ).
fof(f1573,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f238,f1572]) ).
fof(f1574,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f215,f1573]) ).
fof(f1575,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1574]) ).
fof(f1576,plain,
( sQ84_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1575]) ).
fof(f1577,plain,
( sQ85_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f205,f517]) ).
fof(f1578,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f238,f1577]) ).
fof(f1579,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1578]) ).
fof(f1580,plain,
( sQ85_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1593,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f365,f822]) ).
fof(f1602,plain,
( ~ sQ66_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1497,f373,f409]) ).
fof(f1603,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f365,f374]) ).
fof(f1604,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1603,f138]) ).
fof(f1605,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1181,f380,f328]) ).
fof(f1608,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1295,f325,f338]) ).
fof(f1609,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1593,f357,f364,f393,f528]) ).
fof(f1610,plain,
( ~ sQ65_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1089,f383,f406]) ).
fof(f1618,plain,
( ~ sQ64_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f404,f54]) ).
fof(f1682,plain,
( sQ74_spl
| ~ sQ60_spl
| e0 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f391,f476]) ).
fof(f1686,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ64_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1618,f1682]) ).
fof(f1687,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ64_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f391,f1686]) ).
fof(f1688,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1687]) ).
fof(f1689,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1365,f286,f260]) ).
fof(f1691,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1364,f364,f260]) ).
fof(f1695,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1475,f217,f269]) ).
fof(f1697,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1220,f367,f380]) ).
fof(f1729,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f410,f48]) ).
fof(f1744,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f257,f120]) ).
fof(f1755,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f218,f96]) ).
fof(f1759,plain,
( ~ sQ9_spl
| ~ sQ66_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1729,f225]) ).
fof(f1760,plain,
( ~ sQ9_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f136]) ).
fof(f1761,plain,
( ~ sQ9_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1780,plain,
( ~ sQ64_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f404,f52]) ).
fof(f1790,plain,
( ~ sQ64_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f1792,f118]) ).
fof(f1792,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f404,f50]) ).
fof(f1848,plain,
( ~ sQ64_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f1780,f126]) ).
fof(f1851,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f293,f109]) ).
fof(f1884,plain,
( sQ68_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f293,f1557]) ).
fof(f1910,plain,
( ~ sQ24_spl
| sQ68_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f1884]) ).
fof(f1911,plain,
( ~ sQ24_spl
| sQ68_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1910]) ).
fof(f1912,plain,
( sQ69_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f270,f457]) ).
fof(f1913,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f293,f1912]) ).
fof(f1914,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1913]) ).
fof(f1915,plain,
( sQ69_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1920,plain,
( ~ sQ19_spl
| ~ sQ64_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f1792,f257]) ).
fof(f1921,plain,
( ~ sQ19_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f140]) ).
fof(f1922,plain,
( ~ sQ19_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1924,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1471,f247,f299]) ).
fof(f1929,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1215,f234,f390]) ).
fof(f1937,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1744,f295,f256]) ).
fof(f1938,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1107,f234,f208]) ).
fof(f1941,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1755,f373,f217]) ).
fof(f1944,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1408,f234,f338]) ).
fof(f1945,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1851,f344,f292]) ).
fof(f1946,plain,
( ~ sQ64_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1792,f250,f403]) ).
fof(f1947,plain,
( ~ sQ64_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1790,f263,f403]) ).
fof(f1950,plain,
( ~ sQ64_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1848,f344,f403]) ).
fof(f1955,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1550,f247,f286]) ).
fof(f2063,plain,
( sQ86_spl
| ~ sQ20_spl
| e2 != op(e1,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f261,f522]) ).
fof(f2064,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f257,f2063]) ).
fof(f2069,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f199,f90]) ).
fof(f2076,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2069,f354,f198]) ).
fof(f2132,plain,
( sQ81_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f329,f501]) ).
fof(f2163,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f329,f125]) ).
fof(f2262,plain,
( sQ82_spl
| ~ sQ62_spl
| e1 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f397,f506]) ).
fof(f2263,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f378,f2262]) ).
fof(f2264,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f355,f2263]) ).
fof(f2265,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2264]) ).
fof(f2266,plain,
( sQ82_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2265]) ).
fof(f2281,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f397,f391]) ).
fof(f2282,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f137]) ).
fof(f2283,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2282]) ).
fof(f2292,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f397,f110]) ).
fof(f2308,plain,
( sQ73_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f326,f472]) ).
fof(f2359,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f267,f97]) ).
fof(f2390,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2163,f302,f328]) ).
fof(f2394,plain,
( sQ83_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f397,f509]) ).
fof(f2396,plain,
( sQ73_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2308,f308,f325,f470]) ).
fof(f2398,plain,
( ~ sQ30_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f2292]) ).
fof(f2399,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2402,plain,
( sQ86_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2064,f292,f256,f260,f520]) ).
fof(f2406,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f52]) ).
fof(f2414,plain,
( ~ sQ67_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f2406,f128]) ).
fof(f2418,plain,
( ~ sQ67_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f51]) ).
fof(f2460,plain,
( sQ58_spl
| ~ sQ67_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f2418,f385]) ).
fof(f2461,plain,
( sQ58_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2460]) ).
fof(f2462,plain,
( sQ58_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( ~ sQ64_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1316,f295,f403]) ).
fof(f2465,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1470,f195,f299]) ).
fof(f2466,plain,
( sQ83_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2394,f377,f396,f507]) ).
fof(f2467,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1019,f396,f406,f393,f528]) ).
fof(f2522,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f378,f131]) ).
fof(f2573,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f303,f89]) ).
fof(f2578,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2573,f198,f302]) ).
fof(f2597,plain,
( sQ81_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f335,f501]) ).
fof(f2605,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2597,f338,f334,f499]) ).
fof(f2607,plain,
( sQ80_spl
| ~ sQ43_spl
| e1 != op(e2,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f335,f498]) ).
fof(f2608,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f339,f2607]) ).
fof(f2609,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f303,f2608]) ).
fof(f2610,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2609]) ).
fof(f2611,plain,
( sQ80_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2617,plain,
( ~ sQ67_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2414,f318,f412]) ).
fof(f2619,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2359,f318,f266]) ).
fof(f2620,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f335,f326]) ).
fof(f2621,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2620,f138]) ).
fof(f2622,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2621]) ).
fof(f2627,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2522,f351,f377]) ).
fof(f2630,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1551,f234,f286]) ).
fof(f2631,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f335,f618]) ).
fof(f2632,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2631]) ).
fof(f2633,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f2802,plain,
( sQ80_spl
| ~ sQ40_spl
| e1 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f326,f498]) ).
fof(f2803,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f309,f2802]) ).
fof(f2804,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f342,f2803]) ).
fof(f2805,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2804]) ).
fof(f2806,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2805]) ).
fof(f2810,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f910,f201,f214]) ).
fof(f2825,plain,
( ~ sQ67_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f413,f50]) ).
fof(f2828,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f52]) ).
fof(f2830,plain,
( ~ sQ67_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f2825,f120]) ).
fof(f2900,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f313,f1182]) ).
fof(f2912,plain,
( sQ90_spl
| ~ sQ22_spl
| e3 != op(e1,op(e1,e2)) ),
inference(backward_demodulation,[status(thm)],[f267,f540]) ).
fof(f2917,plain,
( sQ90_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f274,f2912]) ).
fof(f2950,plain,
( ~ sQ67_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f2828,f126]) ).
fof(f2973,plain,
( sQ90_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f257,f2917]) ).
fof(f2974,plain,
( sQ90_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2973]) ).
fof(f2975,plain,
( sQ90_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2974]) ).
fof(f2980,plain,
( sQ87_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f267,f525]) ).
fof(f2981,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f274,f2980]) ).
fof(f2982,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2981]) ).
fof(f2983,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2982]) ).
fof(f3110,plain,
( sQ68_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f283,f1159]) ).
fof(f3111,plain,
( sQ68_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3110,f286,f282,f266,f452]) ).
fof(f3112,plain,
( sQ70_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f267,f461]) ).
fof(f3113,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f283,f3112]) ).
fof(f3114,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3113]) ).
fof(f3115,plain,
( sQ70_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3114]) ).
fof(f3120,plain,
( ~ sQ67_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2828,f344,f412]) ).
fof(f3123,plain,
( ~ sQ67_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2950,f305,f412]) ).
fof(f3126,plain,
( ~ sQ67_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2830,f250,f412]) ).
fof(f3131,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2900,f308,f312,f328,f543]) ).
fof(f3132,plain,
( sQ81_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2132,f312,f328,f499]) ).
fof(f3275,plain,
( sQ90_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f254,f1363]) ).
fof(f3276,plain,
( sQ90_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f283,f3275]) ).
fof(f3277,plain,
( sQ90_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3276]) ).
fof(f3278,plain,
( sQ90_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3277]) ).
fof(f3279,plain,
( sQ69_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f261,f457]) ).
fof(f3280,plain,
( sQ69_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f254,f3279]) ).
fof(f3281,plain,
( sQ69_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3280]) ).
fof(f3282,plain,
( sQ69_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3281]) ).
fof(f3283,plain,
$false,
inference(sat_refutation,[status(thm)],[f207,f220,f246,f259,f272,f298,f311,f324,f337,f350,f376,f389,f402,f415,f418,f419,f421,f422,f424,f425,f428,f429,f430,f432,f433,f434,f436,f437,f438,f440,f441,f442,f443,f444,f445,f448,f449,f450,f451,f458,f462,f484,f502,f503,f510,f518,f527,f531,f541,f542,f546,f553,f557,f563,f570,f578,f582,f585,f588,f591,f594,f599,f606,f609,f612,f615,f619,f630,f635,f641,f644,f649,f652,f659,f662,f666,f667,f670,f675,f680,f683,f686,f689,f693,f695,f696,f700,f701,f702,f703,f704,f705,f706,f716,f717,f728,f729,f730,f731,f732,f733,f741,f742,f743,f744,f745,f747,f748,f754,f766,f773,f774,f776,f785,f786,f787,f788,f789,f790,f798,f824,f829,f840,f841,f845,f849,f850,f851,f852,f856,f857,f858,f859,f860,f877,f880,f888,f889,f909,f943,f946,f955,f1009,f1017,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1055,f1056,f1058,f1085,f1122,f1163,f1164,f1196,f1199,f1206,f1231,f1233,f1257,f1394,f1398,f1407,f1412,f1417,f1418,f1422,f1424,f1425,f1435,f1436,f1437,f1438,f1439,f1440,f1454,f1576,f1580,f1602,f1605,f1606,f1608,f1609,f1610,f1689,f1690,f1691,f1695,f1697,f1761,f1911,f1915,f1922,f1924,f1929,f1937,f1938,f1941,f1944,f1945,f1946,f1947,f1950,f1955,f2076,f2266,f2283,f2390,f2396,f2399,f2402,f2462,f2463,f2465,f2466,f2467,f2578,f2605,f2611,f2617,f2619,f2622,f2627,f2630,f2633,f2806,f2810,f2975,f2983,f3111,f3115,f3120,f3123,f3126,f3131,f3132,f3278,f3282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 12:54:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.54 % Refutation found
% 0.12/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.17/0.56 % Elapsed time: 0.202956 seconds
% 1.17/0.56 % CPU time: 1.410525 seconds
% 1.17/0.56 % Total memory used: 36.330 MB
% 1.17/0.56 % Net memory used: 35.627 MB
%------------------------------------------------------------------------------