%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG024+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:47 AM UTC 2026
% Result : Unsatisfiable 5.42s 1.21s
% Output : CNFRefutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 128
% Syntax : Number of formulae : 1303 ( 110 unt; 104 def)
% Number of atoms : 3533 (1389 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 4377 (2147 ~;1882 |; 228 &)
% ( 104 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 106 ( 104 usr; 105 prp; 0-2 aty)
% Number of functors : 7 ( 7 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,
( op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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(f4,axiom,
( ( inv(e3) = e3
| inv(e3) = e2
| inv(e3) = e1
| inv(e3) = e0 )
& ( inv(e2) = e3
| inv(e2) = e2
| inv(e2) = e1
| inv(e2) = e0 )
& ( inv(e1) = e3
| inv(e1) = e2
| inv(e1) = e1
| inv(e1) = e0 )
& ( inv(e0) = e3
| inv(e0) = e2
| inv(e0) = e1
| inv(e0) = e0 )
& op(inv(e3),e3) = unit
& op(e3,inv(e3)) = unit
& op(inv(e2),e2) = unit
& op(e2,inv(e2)) = unit
& op(inv(e1),e1) = unit
& op(e1,inv(e1)) = unit
& op(inv(e0),e0) = unit
& op(e0,inv(e0)) = unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
inv(unit) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( inv(inv(e3)) = e3
& inv(inv(e2)) = e2
& inv(inv(e1)) = e1
& inv(inv(e0)) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( ( inv(e3) = e3
=> inv(e3) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e2) = e2
=> inv(e2) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e1
=> inv(e1) = e1 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e0
=> inv(e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( inv(e2) != inv(e3)
& inv(e1) != inv(e3)
& inv(e1) != inv(e2)
& inv(e0) != inv(e3)
& inv(e0) != inv(e2)
& inv(e0) != inv(e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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(f10,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,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(f13,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f49,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f50,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f51,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f52,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
op(op(e0,e1),e0) = op(e0,op(e1,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
op(op(e0,e1),e3) = op(e0,op(e1,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
op(op(e0,e3),e2) = op(e0,op(e3,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
op(op(e1,e0),e1) = op(e1,op(e0,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(op(e1,e2),e2) = op(e1,op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f79,plain,
op(op(e1,e2),e3) = op(e1,op(e2,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f80,plain,
op(op(e1,e3),e0) = op(e1,op(e3,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f81,plain,
op(op(e1,e3),e1) = op(e1,op(e3,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f82,plain,
op(op(e1,e3),e2) = op(e1,op(e3,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f83,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f89,plain,
op(op(e2,e1),e1) = op(e2,op(e1,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f90,plain,
op(op(e2,e1),e2) = op(e2,op(e1,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f92,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f93,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f94,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f96,plain,
op(op(e2,e3),e0) = op(e2,op(e3,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f97,plain,
op(op(e2,e3),e1) = op(e2,op(e3,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f99,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f100,plain,
op(op(e3,e0),e0) = op(e3,op(e0,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f106,plain,
op(op(e3,e1),e2) = op(e3,op(e1,e2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f109,plain,
op(op(e3,e2),e1) = op(e3,op(e2,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f111,plain,
op(op(e3,e2),e3) = op(e3,op(e2,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f112,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f113,plain,
op(op(e3,e3),e1) = op(e3,op(e3,e1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f115,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f116,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
( unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e0,inv(e0)) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
op(inv(e0),e0) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
op(e1,inv(e1)) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
op(inv(e1),e1) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op(e2,inv(e2)) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
op(inv(e2),e2) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op(e3,inv(e3)) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
op(inv(e3),e3) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f133,plain,
( inv(e0) = e3
| inv(e0) = e2
| inv(e0) = e1
| inv(e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
( inv(e1) = e3
| inv(e1) = e2
| inv(e1) = e1
| inv(e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
( inv(e2) = e3
| inv(e2) = e2
| inv(e2) = e1
| inv(e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f136,plain,
( inv(e3) = e3
| inv(e3) = e2
| inv(e3) = e1
| inv(e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f137,plain,
inv(unit) = unit,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
inv(inv(e0)) = e0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f139,plain,
inv(inv(e1)) = e1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f140,plain,
inv(inv(e2)) = e2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f141,plain,
inv(inv(e3)) = e3,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f142,plain,
( ( inv(e3) = e3
| inv(e3) != e3 )
& ( inv(e2) = e3
| inv(e3) != e2 )
& ( inv(e1) = e3
| inv(e3) != e1 )
& ( inv(e0) = e3
| inv(e3) != e0 )
& ( inv(e3) = e2
| inv(e2) != e3 )
& ( inv(e2) = e2
| inv(e2) != e2 )
& ( inv(e1) = e2
| inv(e2) != e1 )
& ( inv(e0) = e2
| inv(e2) != e0 )
& ( inv(e3) = e1
| inv(e1) != e3 )
& ( inv(e2) = e1
| inv(e1) != e2 )
& ( inv(e1) = e1
| inv(e1) != e1 )
& ( inv(e0) = e1
| inv(e1) != e0 )
& ( inv(e3) = e0
| inv(e0) != e3 )
& ( inv(e2) = e0
| inv(e0) != e2 )
& ( inv(e1) = e0
| inv(e0) != e1 )
& ( inv(e0) = e0
| inv(e0) != e0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f144,plain,
( inv(e1) = e0
| inv(e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
( inv(e2) = e0
| inv(e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
( inv(e3) = e0
| inv(e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,plain,
( inv(e0) = e1
| inv(e1) != e0 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f149,plain,
( inv(e2) = e1
| inv(e1) != e2 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f152,plain,
( inv(e1) = e2
| inv(e2) != e1 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f154,plain,
( inv(e3) = e2
| inv(e2) != e3 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f155,plain,
( inv(e0) = e3
| inv(e3) != e0 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f156,plain,
( inv(e1) = e3
| inv(e3) != e1 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f157,plain,
( inv(e2) = e3
| inv(e3) != e2 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f160,plain,
inv(e0) != inv(e2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f163,plain,
inv(e1) != inv(e3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f164,plain,
inv(e2) != inv(e3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f165,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f166,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f167,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f168,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f169,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f170,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f171,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f172,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f173,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f174,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f175,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f176,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f177,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f178,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f179,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f180,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f181,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f182,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f183,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f184,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f185,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f186,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f187,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f188,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f189,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f190,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f191,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f192,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f193,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f194,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f195,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f196,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f198,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f199,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f200,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f201,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f202,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f203,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f204,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f205,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f206,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f207,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f208,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f209,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f210,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f211,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f212,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f213,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f214,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f215,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f216,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f217,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f218,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f219,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)],[f11]) ).
fof(f220,plain,
( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f222,plain,
( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f223,plain,
( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f226,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f227,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f229,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f234,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f235,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f237,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f239,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f246,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f247,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f252,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f253,plain,
( e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f255,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
( e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f257,plain,
( e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f259,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f262,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f263,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f265,plain,
( e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f270,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f271,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f272,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f272,f275,f278,f281]) ).
fof(f285,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f37,f285,f288,f291,f294]) ).
fof(f298,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f38,f298,f301,f304,f307]) ).
fof(f311,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ13_spl
| op(e0,e3) != e1 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f39,f311,f314,f317,f320]) ).
fof(f324,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f40,f324,f327,f330,f333]) ).
fof(f337,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f41,f337,f340,f343,f346]) ).
fof(f350,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f42,f350,f353,f356,f359]) ).
fof(f363,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f43,f363,f366,f369,f372]) ).
fof(f376,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ32_spl
| op(e2,e0) != e0 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f44,f376,f379,f382,f385]) ).
fof(f389,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f45,f389,f392,f395,f398]) ).
fof(f402,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ40_spl
| op(e2,e2) != e0 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f46,f402,f405,f408,f411]) ).
fof(f415,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f47,f415,f418,f421,f424]) ).
fof(f428,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f48,f428,f431,f434,f437]) ).
fof(f441,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f49,f441,f444,f447,f450]) ).
fof(f454,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ56_spl
| op(e3,e2) != e0 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ57_spl
| op(e3,e2) != e1 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f50,f454,f457,f460,f463]) ).
fof(f467,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f51,f467,f470,f473,f476]) ).
fof(f480,definition,
( sQ64_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ64_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ65_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ65_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ66_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ66_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ67_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ67_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f124,f480,f483,f486,f489]) ).
fof(f493,definition,
( sQ68_spl
<=> inv(e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ68_spl
| inv(e0) = e0 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ69_spl
<=> inv(e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ69_spl
| inv(e0) = e1 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ70_spl
<=> inv(e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ70_spl
| inv(e0) = e2 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ71_spl
<=> inv(e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ71_spl
| inv(e0) = e3 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f133,f493,f496,f499,f502]) ).
fof(f506,definition,
( sQ72_spl
<=> inv(e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ72_spl
| inv(e1) = e0 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ73_spl
<=> inv(e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ73_spl
| inv(e1) = e1 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ74_spl
<=> inv(e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ74_spl
| inv(e1) = e2 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ75_spl
<=> inv(e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ75_spl
| inv(e1) = e3 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f134,f506,f509,f512,f515]) ).
fof(f519,definition,
( sQ76_spl
<=> inv(e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ76_spl
| inv(e2) = e0 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ77_spl
<=> inv(e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ77_spl
| inv(e2) = e1 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ78_spl
<=> inv(e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ78_spl
| inv(e2) = e2 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ79_spl
<=> inv(e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ79_spl
| inv(e2) = e3 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f135,f519,f522,f525,f528]) ).
fof(f532,definition,
( sQ80_spl
<=> inv(e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ80_spl
| inv(e3) = e0 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ81_spl
<=> inv(e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f538,definition,
( sQ82_spl
<=> inv(e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ82_spl
| inv(e3) = e2 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ83_spl
<=> inv(e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ83_spl
| inv(e3) = e3 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ83_spl
| inv(e3) != e3 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f136,f532,f535,f538,f541]) ).
fof(f546,plain,
( sQ72_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f144,f496,f506]) ).
fof(f547,plain,
( sQ76_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f145,f499,f519]) ).
fof(f548,plain,
( sQ80_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f146,f502,f532]) ).
fof(f549,plain,
( sQ69_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f147,f506,f496]) ).
fof(f551,plain,
( sQ77_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f149,f512,f522]) ).
fof(f554,plain,
( sQ74_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f152,f522,f512]) ).
fof(f556,plain,
( sQ82_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f154,f528,f538]) ).
fof(f557,plain,
( sQ71_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f155,f532,f502]) ).
fof(f558,plain,
( sQ75_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f156,f535,f515]) ).
fof(f559,plain,
( sQ79_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f157,f538,f528]) ).
fof(f561,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f220,f272,f337,f402,f467]) ).
fof(f562,plain,
( ~ sQ61_spl
| ~ sQ41_spl
| ~ sQ21_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f221,f275,f340,f405,f470]) ).
fof(f563,plain,
( ~ sQ62_spl
| ~ sQ42_spl
| ~ sQ22_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f222,f278,f343,f408,f473]) ).
fof(f564,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| ~ sQ23_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f223,f281,f346,f411,f476]) ).
fof(f565,definition,
( sQ84_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( sQ84_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f572,definition,
( sQ86_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ86_spl
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ87_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( sQ87_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ sQ62_spl
| ~ sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f227,f572,f575,f473]) ).
fof(f579,definition,
( sQ88_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ88_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ89_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ89_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ23_spl
| ~ sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f229,f579,f582,f346]) ).
fof(f590,definition,
( sQ91_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( sQ91_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f594,definition,
( sQ92_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( sQ92_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ sQ41_spl
| ~ sQ92_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f235,f565,f594,f405]) ).
fof(f598,definition,
( sQ93_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ93_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ94_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ94_spl
| e0 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ94_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( ~ sQ43_spl
| ~ sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f237,f598,f601,f411]) ).
fof(f605,definition,
( sQ95_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( sQ95_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ96_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( sQ96_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( ~ sQ62_spl
| ~ sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f239,f605,f608,f473]) ).
fof(f615,definition,
( sQ98_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ98_spl
| e2 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ98_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f620,definition,
( sQ99_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ99_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f624,plain,
( ~ sQ40_spl
| ~ sQ92_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f247,f598,f594,f402]) ).
fof(f625,definition,
( sQ100_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( sQ100_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f632,definition,
( sQ102_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( sQ102_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f636,definition,
( sQ103_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ103_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ104_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ104_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ3_spl
| ~ sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f253,f636,f639,f281]) ).
fof(f643,plain,
( ~ sQ60_spl
| ~ sQ87_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f255,f632,f575,f467]) ).
fof(f644,plain,
( ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f257,f636,f620,f275]) ).
fof(f645,plain,
( ~ sQ20_spl
| ~ sQ91_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f259,f625,f590,f337]) ).
fof(f646,definition,
( sQ105_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( sQ105_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f650,definition,
( sQ106_spl
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ106_spl
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( ~ sQ41_spl
| ~ sQ94_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f263,f650,f601,f405]) ).
fof(f654,definition,
( sQ107_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( sQ107_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ2_spl
| ~ sQ104_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f265,f654,f639,f278]) ).
fof(f660,plain,
( ~ sQ20_spl
| ~ sQ89_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f271,f646,f582,f337]) ).
fof(f661,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f487]) ).
fof(f662,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f218]) ).
fof(f663,plain,
( ~ sQ66_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f481]) ).
fof(f665,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f213]) ).
fof(f666,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f669,plain,
( ~ sQ64_spl
| inv(e0) = unit ),
inference(forward_demodulation,[status(thm)],[f481,f137]) ).
fof(f670,plain,
( ~ sQ64_spl
| inv(e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f669]) ).
fof(f675,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f542,f533]) ).
fof(f676,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f215]) ).
fof(f677,plain,
( ~ sQ80_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f693,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f516,f513]) ).
fof(f694,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f218]) ).
fof(f695,plain,
( ~ sQ74_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f699,plain,
( ~ sQ69_spl
| ~ sQ64_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f670,f497]) ).
fof(f700,plain,
( ~ sQ69_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f213]) ).
fof(f701,plain,
( ~ sQ69_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f711,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f529,f520]) ).
fof(f712,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f215]) ).
fof(f713,plain,
( ~ sQ76_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f720,plain,
( ~ sQ65_spl
| inv(e1) = unit ),
inference(forward_demodulation,[status(thm)],[f484,f137]) ).
fof(f721,plain,
( ~ sQ65_spl
| inv(e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f720]) ).
fof(f724,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f721,f516]) ).
fof(f725,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f724,f217]) ).
fof(f726,plain,
( ~ sQ75_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( ~ sQ72_spl
| ~ sQ65_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f721,f507]) ).
fof(f729,plain,
( ~ sQ72_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f213]) ).
fof(f730,plain,
( ~ sQ72_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f736,plain,
( ~ sQ64_spl
| inv(e0) = unit ),
inference(forward_demodulation,[status(thm)],[f481,f137]) ).
fof(f737,plain,
( ~ sQ64_spl
| inv(e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f736]) ).
fof(f745,plain,
( ~ sQ71_spl
| ~ sQ64_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f737,f503]) ).
fof(f746,plain,
( ~ sQ71_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f215]) ).
fof(f747,plain,
( ~ sQ71_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f754,plain,
( ~ sQ66_spl
| inv(e2) = unit ),
inference(forward_demodulation,[status(thm)],[f487,f137]) ).
fof(f755,plain,
( ~ sQ66_spl
| ~ sQ77_spl
| e1 = unit ),
inference(forward_demodulation,[status(thm)],[f523,f754]) ).
fof(f756,plain,
( ~ sQ66_spl
| ~ sQ77_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f755]) ).
fof(f757,plain,
( ~ sQ66_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f216]) ).
fof(f758,plain,
( ~ sQ66_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( ~ sQ66_spl
| inv(e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f754]) ).
fof(f764,plain,
( ~ sQ76_spl
| ~ sQ66_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f759,f520]) ).
fof(f765,plain,
( ~ sQ76_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f214]) ).
fof(f766,plain,
( ~ sQ76_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f777,plain,
( ~ sQ64_spl
| inv(e0) = unit ),
inference(forward_demodulation,[status(thm)],[f481,f137]) ).
fof(f778,plain,
( ~ sQ64_spl
| ~ sQ70_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f500,f777]) ).
fof(f779,plain,
( ~ sQ64_spl
| ~ sQ70_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f778]) ).
fof(f780,plain,
( ~ sQ64_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f779,f214]) ).
fof(f781,plain,
( ~ sQ64_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f780]) ).
fof(f784,plain,
( ~ sQ65_spl
| inv(e1) = unit ),
inference(forward_demodulation,[status(thm)],[f484,f137]) ).
fof(f785,plain,
( ~ sQ65_spl
| inv(e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f784]) ).
fof(f788,plain,
( ~ sQ74_spl
| ~ sQ65_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f785,f513]) ).
fof(f789,plain,
( ~ sQ74_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f216]) ).
fof(f790,plain,
( ~ sQ74_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f794,plain,
( ~ sQ66_spl
| inv(e2) = unit ),
inference(forward_demodulation,[status(thm)],[f487,f137]) ).
fof(f796,plain,
( ~ sQ66_spl
| inv(e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f794]) ).
fof(f798,plain,
( ~ sQ79_spl
| ~ sQ66_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f796,f529]) ).
fof(f799,plain,
( ~ sQ79_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f218]) ).
fof(f800,plain,
( ~ sQ79_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f810,plain,
( ~ sQ64_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f116]) ).
fof(f820,plain,
( ~ sQ64_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f118]) ).
fof(f828,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f119]) ).
fof(f839,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f120]) ).
fof(f854,plain,
( ~ sQ64_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f481,f122]) ).
fof(f861,plain,
( ~ sQ64_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f481,f123]) ).
fof(f870,plain,
( ~ sQ74_spl
| op(e1,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f513,f127]) ).
fof(f877,plain,
( ~ sQ74_spl
| ~ sQ64_spl
| op(e1,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f870]) ).
fof(f900,plain,
( ~ sQ74_spl
| inv(e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f513,f139]) ).
fof(f905,plain,
( ~ sQ83_spl
| op(e3,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f542,f131]) ).
fof(f911,plain,
( ~ sQ83_spl
| ~ sQ64_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f905]) ).
fof(f922,plain,
( ~ sQ83_spl
| op(e3,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f542,f132]) ).
fof(f940,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f464,f461]) ).
fof(f941,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f940,f218]) ).
fof(f942,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f941]) ).
fof(f945,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f458,f455]) ).
fof(f946,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f213]) ).
fof(f947,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f956,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f957,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f218]) ).
fof(f958,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f966,plain,
( ~ sQ50_spl
| ~ sQ64_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f861,f435]) ).
fof(f967,plain,
( ~ sQ50_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f966,f218]) ).
fof(f968,plain,
( ~ sQ50_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f967]) ).
fof(f986,plain,
( ~ sQ49_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f432,f170]) ).
fof(f987,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f432,f429]) ).
fof(f988,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f213]) ).
fof(f989,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f992,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f425,f422]) ).
fof(f993,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f218]) ).
fof(f994,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f998,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f399,f176]) ).
fof(f1001,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f399,f396]) ).
fof(f1002,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f218]) ).
fof(f1003,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1004,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f393,f390]) ).
fof(f1005,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f213]) ).
fof(f1006,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1010,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f380,f377]) ).
fof(f1011,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f213]) ).
fof(f1012,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f373,f186]) ).
fof(f1014,plain,
( ~ sQ31_spl
| op(e0,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f373,f183]) ).
fof(f1017,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f373,f370]) ).
fof(f1018,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f218]) ).
fof(f1019,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1025,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f360,f180]) ).
fof(f1027,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f360,f357]) ).
fof(f1028,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f218]) ).
fof(f1029,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1036,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f328,f325]) ).
fof(f1037,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f213]) ).
fof(f1038,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1040,plain,
( ~ sQ15_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f321,f185]) ).
fof(f1041,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f321,f184]) ).
fof(f1042,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f321,f318]) ).
fof(f1043,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f218]) ).
fof(f1044,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1045,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f315,f193]) ).
fof(f1046,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f315,f312]) ).
fof(f1047,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1046,f213]) ).
fof(f1048,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f308,f192]) ).
fof(f1054,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f308,f305]) ).
fof(f1055,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f218]) ).
fof(f1056,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f302,f299]) ).
fof(f1058,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f213]) ).
fof(f1059,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1058]) ).
fof(f1060,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f295,f189]) ).
fof(f1062,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f295,f171]) ).
fof(f1066,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f289,f286]) ).
fof(f1067,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f213]) ).
fof(f1068,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1076,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f412,f202]) ).
fof(f1081,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f344,f195]) ).
fof(f1082,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f344,f175]) ).
fof(f1088,plain,
( ~ sQ43_spl
| op(e2,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f412,f204]) ).
fof(f1091,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f412,f206]) ).
fof(f1094,plain,
( ~ sQ52_spl
| op(e3,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f442,f207]) ).
fof(f1096,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f474,f922]) ).
fof(f1097,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| ~ sQ65_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f1096]) ).
fof(f1098,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1097,f216]) ).
fof(f1099,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1100,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f438,f208]) ).
fof(f1106,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f442,f210]) ).
fof(f1107,plain,
( ~ sQ52_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f455,f1106]) ).
fof(f1108,plain,
( ~ sQ52_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1107]) ).
fof(f1109,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1110,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f438,f207]) ).
fof(f1135,plain,
( ~ sQ83_spl
| ~ sQ66_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f905]) ).
fof(f1136,plain,
( sQ104_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f282,f641]) ).
fof(f1137,plain,
( ~ sQ69_spl
| inv(e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f497,f138]) ).
fof(f1138,plain,
( ~ sQ66_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f487,f123]) ).
fof(f1139,plain,
( sQ94_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f412,f603]) ).
fof(f1140,plain,
( ~ sQ66_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f487,f122]) ).
fof(f1141,plain,
( ~ sQ66_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1140,f1091]) ).
fof(f1142,plain,
( ~ sQ66_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f282,f810]) ).
fof(f1144,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f215]) ).
fof(f1145,plain,
( ~ sQ64_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1165,plain,
( ~ sQ65_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1167,f205]) ).
fof(f1166,plain,
( ~ sQ65_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1167,f201]) ).
fof(f1167,plain,
( ~ sQ65_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f121]) ).
fof(f1168,plain,
( ~ sQ65_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f120]) ).
fof(f1171,plain,
( ~ sQ83_spl
| ~ sQ66_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1135,f473,f486,f541]) ).
fof(f1172,plain,
( ~ sQ66_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1138,f463,f486]) ).
fof(f1173,plain,
( ~ sQ66_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1140,f424,f486]) ).
fof(f1174,plain,
( ~ sQ64_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f820,f288,f480]) ).
fof(f1175,plain,
( ~ sQ64_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f828,f327,f480]) ).
fof(f1176,plain,
( ~ sQ64_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f854,f320,f480]) ).
fof(f1198,plain,
( ~ sQ65_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f119]) ).
fof(f1202,plain,
( ~ sQ65_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f117]) ).
fof(f1205,plain,
( ~ sQ65_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f116]) ).
fof(f1206,plain,
( ~ sQ65_spl
| e0 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1205,f169]) ).
fof(f1211,plain,
( ~ sQ65_spl
| e0 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1205,f168]) ).
fof(f1212,plain,
( ~ sQ76_spl
| inv(e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f520,f140]) ).
fof(f1216,plain,
( ~ sQ44_spl
| op(e0,e1) = op(e2,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f416,f97]) ).
fof(f1219,plain,
( ~ sQ44_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f416,f203]) ).
fof(f1226,plain,
( ~ sQ32_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f1211]) ).
fof(f1227,plain,
( ~ sQ32_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1226]) ).
fof(f1243,plain,
( ~ sQ36_spl
| op(e0,e1) = op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f390,f89]) ).
fof(f1254,plain,
( ~ sQ28_spl
| op(e0,e3) = op(e1,op(e3,e3)) ),
inference(backward_demodulation,[status(thm)],[f364,f83]) ).
fof(f1266,plain,
( ~ sQ24_spl
| op(e0,e3) = op(e1,op(e2,e3)) ),
inference(backward_demodulation,[status(thm)],[f351,f79]) ).
fof(f1268,plain,
( ~ sQ24_spl
| op(op(e3,e1),e2) = op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f351,f106]) ).
fof(f1271,plain,
( ~ sQ69_spl
| op(e1,e0) = unit ),
inference(forward_demodulation,[status(thm)],[f497,f126]) ).
fof(f1278,plain,
( ~ sQ66_spl
| op(e0,inv(e0)) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f125]) ).
fof(f1298,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| op(e0,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f503,f1278]) ).
fof(f1364,plain,
( ~ sQ65_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f390,f1167]) ).
fof(f1365,plain,
( ~ sQ65_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f214]) ).
fof(f1366,plain,
( ~ sQ65_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1380,plain,
( ~ sQ64_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f299,f839]) ).
fof(f1381,plain,
( ~ sQ64_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1380,f214]) ).
fof(f1382,plain,
( ~ sQ64_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1381]) ).
fof(f1388,plain,
( ~ sQ24_spl
| ~ sQ53_spl
| op(e1,e2) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f445,f1268]) ).
fof(f1389,plain,
( ~ sQ24_spl
| ~ sQ53_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f351,f1388]) ).
fof(f1415,plain,
( ~ sQ41_spl
| op(e1,e0) = op(e2,op(e2,e0)) ),
inference(backward_demodulation,[status(thm)],[f406,f92]) ).
fof(f1417,plain,
( sQ84_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(backward_demodulation,[status(thm)],[f406,f567]) ).
fof(f1419,plain,
( sQ92_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f406,f596]) ).
fof(f1433,plain,
( ~ sQ75_spl
| op(e3,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f516,f128]) ).
fof(f1434,plain,
( ~ sQ75_spl
| ~ sQ53_spl
| e1 = unit ),
inference(forward_demodulation,[status(thm)],[f445,f1433]) ).
fof(f1438,plain,
( ~ sQ75_spl
| ~ sQ66_spl
| op(e3,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f1433]) ).
fof(f1442,plain,
( ~ sQ2_spl
| op(e2,e1) = op(e0,op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f279,f53]) ).
fof(f1447,plain,
( ~ sQ2_spl
| op(op(e3,e0),e0) = op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f279,f100]) ).
fof(f1454,plain,
( ~ sQ66_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f120]) ).
fof(f1455,plain,
( ~ sQ66_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f406,f1454]) ).
fof(f1456,plain,
( ~ sQ66_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1455,f216]) ).
fof(f1457,plain,
( ~ sQ66_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1458,plain,
( ~ sQ65_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1165,f421,f483]) ).
fof(f1459,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f351,f1168]) ).
fof(f1460,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f214]) ).
fof(f1461,plain,
( ~ sQ65_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1469,plain,
( ~ sQ66_spl
| op(e1,inv(e1)) = e2 ),
inference(backward_demodulation,[status(thm)],[f487,f127]) ).
fof(f1497,plain,
( ~ sQ23_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f347,f174]) ).
fof(f1500,plain,
( ~ sQ75_spl
| inv(e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f516,f139]) ).
fof(f1507,plain,
( ~ sQ66_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f116]) ).
fof(f1508,plain,
( ~ sQ66_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1510,f177]) ).
fof(f1510,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f117]) ).
fof(f1511,plain,
( ~ sQ66_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f1513,f172]) ).
fof(f1512,plain,
( ~ sQ66_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f1513,f176]) ).
fof(f1513,plain,
( ~ sQ66_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f487,f118]) ).
fof(f1515,plain,
( ~ sQ66_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f487,f119]) ).
fof(f1518,plain,
( sQ32_spl
| ~ sQ66_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1507,f378]) ).
fof(f1519,plain,
( sQ32_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1518]) ).
fof(f1520,plain,
( sQ32_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1519]) ).
fof(f1521,plain,
( ~ sQ65_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f347,f1198]) ).
fof(f1522,plain,
( ~ sQ65_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1521,f217]) ).
fof(f1523,plain,
( ~ sQ65_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( ~ sQ74_spl
| ~ sQ64_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f877,f350,f480,f512]) ).
fof(f1528,plain,
( ~ sQ66_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1510,f298,f486]) ).
fof(f1529,plain,
( ~ sQ66_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1508,f350,f486]) ).
fof(f1530,plain,
( ~ sQ66_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1513,f392,f486]) ).
fof(f1531,plain,
( ~ sQ66_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1515,f353,f486]) ).
fof(f1552,plain,
( ~ sQ65_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1554,f210]) ).
fof(f1554,plain,
( ~ sQ65_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f484,f123]) ).
fof(f1557,plain,
( ~ sQ65_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f1558,f186]) ).
fof(f1558,plain,
( ~ sQ65_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f484,f122]) ).
fof(f1559,plain,
( ~ sQ65_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1557,f424,f483]) ).
fof(f1560,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1219,f376,f415]) ).
fof(f1561,plain,
( ~ sQ65_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1554,f450,f483]) ).
fof(f1562,plain,
( ~ sQ65_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1558,f372,f483]) ).
fof(f1571,plain,
( ~ sQ64_spl
| op(inv(e3),e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f132]) ).
fof(f1573,plain,
( ~ sQ64_spl
| op(e3,inv(e3)) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f131]) ).
fof(f1581,plain,
( ~ sQ64_spl
| ~ sQ82_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f539,f1573]) ).
fof(f1582,plain,
( ~ sQ64_spl
| ~ sQ82_spl
| op(e2,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f539,f1571]) ).
fof(f1583,plain,
( ~ sQ64_spl
| ~ sQ82_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1581,f454,f538,f480]) ).
fof(f1584,plain,
( ~ sQ64_spl
| ~ sQ82_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1582,f415,f538,f480]) ).
fof(f1585,plain,
( ~ sQ75_spl
| ~ sQ66_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1438,f447,f486,f515]) ).
fof(f1615,plain,
( ~ sQ66_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f120]) ).
fof(f1620,plain,
( ~ sQ94_spl
| ~ sQ66_spl
| e0 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1615,f602]) ).
fof(f1621,plain,
( ~ sQ94_spl
| ~ sQ66_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1615,f1620]) ).
fof(f1622,plain,
( ~ sQ94_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1621,f214]) ).
fof(f1623,plain,
( ~ sQ94_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1630,plain,
( ~ sQ65_spl
| op(e0,inv(e0)) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f125]) ).
fof(f1632,plain,
( ~ sQ65_spl
| op(inv(e0),e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f126]) ).
fof(f1637,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| op(e2,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f1212,f1632]) ).
fof(f1638,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f1212,f1630]) ).
fof(f1664,plain,
( sQ99_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f622]) ).
fof(f1666,plain,
( sQ103_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f276,f638]) ).
fof(f1668,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f276,f166]) ).
fof(f1673,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f276,f189]) ).
fof(f1675,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f276,f191]) ).
fof(f1676,plain,
( sQ103_spl
| ~ sQ1_spl
| e2 != op(e0,op(e1,e0)) ),
inference(forward_demodulation,[status(thm)],[f56,f1666]) ).
fof(f1678,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1668,f379,f275]) ).
fof(f1690,plain,
( ~ sQ65_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f1697,f198]) ).
fof(f1697,plain,
( ~ sQ65_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f119]) ).
fof(f1700,plain,
( ~ sQ65_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1690,f353,f483]) ).
fof(f1743,plain,
( ~ sQ64_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1748,f192]) ).
fof(f1748,plain,
( ~ sQ64_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f118]) ).
fof(f1749,plain,
( ~ sQ64_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1743,f301,f480]) ).
fof(f1788,plain,
( ~ sQ66_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f1790,f168]) ).
fof(f1790,plain,
( ~ sQ66_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f116]) ).
fof(f1792,plain,
( ~ sQ66_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1788,f324,f486]) ).
fof(f1796,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1673,f288,f275]) ).
fof(f1851,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f354,f196]) ).
fof(f1853,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1851,f327,f353]) ).
fof(f1855,plain,
( ~ sQ65_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1552,f463,f483]) ).
fof(f1857,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| op(e0,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f494,f1632]) ).
fof(f1900,plain,
( ~ sQ66_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f1901,f200]) ).
fof(f1901,plain,
( ~ sQ66_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f487,f119]) ).
fof(f1904,plain,
( ~ sQ69_spl
| e0 != inv(e3) ),
inference(forward_demodulation,[status(thm)],[f1137,f163]) ).
fof(f1907,plain,
( ~ sQ69_spl
| op(e1,e0) = unit ),
inference(forward_demodulation,[status(thm)],[f1137,f127]) ).
fof(f1945,plain,
( ~ sQ66_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f1947,f194]) ).
fof(f1947,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f117]) ).
fof(f1952,plain,
( ~ sQ66_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1954,f212]) ).
fof(f1954,plain,
( ~ sQ66_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f487,f123]) ).
fof(f1966,plain,
( ~ sQ20_spl
| op(e0,e3) = op(e1,op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f338,f75]) ).
fof(f1984,plain,
( ~ sQ83_spl
| op(e3,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f542,f131]) ).
fof(f1992,plain,
( sQ102_spl
| ~ sQ83_spl
| ~ sQ66_spl
| e2 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f1994,f634]) ).
fof(f1994,plain,
( ~ sQ83_spl
| ~ sQ66_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f1984]) ).
fof(f2003,plain,
( sQ102_spl
| ~ sQ83_spl
| ~ sQ66_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f1954,f1992]) ).
fof(f2004,plain,
( sQ102_spl
| ~ sQ83_spl
| ~ sQ66_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1994,f2003]) ).
fof(f2005,plain,
( sQ102_spl
| ~ sQ83_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2004]) ).
fof(f2006,plain,
( sQ102_spl
| ~ sQ83_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2008,plain,
( ~ sQ69_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1904,f532,f496]) ).
fof(f2009,plain,
( ~ sQ71_spl
| ~ sQ69_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f497,f503]) ).
fof(f2010,plain,
( ~ sQ71_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2009,f217]) ).
fof(f2011,plain,
( ~ sQ71_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2053,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f286,f173]) ).
fof(f2057,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2053,f441,f285]) ).
fof(f2061,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f312,f183]) ).
fof(f2062,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2061,f363,f311]) ).
fof(f2072,plain,
( ~ sQ73_spl
| op(e1,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f510,f127]) ).
fof(f2073,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f429,f170]) ).
fof(f2074,plain,
( ~ sQ64_spl
| ~ sQ48_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f429,f861]) ).
fof(f2075,plain,
( ~ sQ64_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2074,f215]) ).
fof(f2076,plain,
( ~ sQ64_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( ~ sQ65_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1205,f324,f483]) ).
fof(f2079,plain,
( ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f986,f379,f431]) ).
fof(f2080,plain,
( ~ sQ66_spl
| ~ sQ73_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f510,f1469]) ).
fof(f2081,plain,
( ~ sQ66_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1512,f444,f486]) ).
fof(f2083,plain,
( ~ sQ66_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1900,f366,f486]) ).
fof(f2091,plain,
( ~ sQ64_spl
| inv(e0) = unit ),
inference(forward_demodulation,[status(thm)],[f481,f137]) ).
fof(f2092,plain,
( ~ sQ64_spl
| inv(e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f2091]) ).
fof(f2103,plain,
( ~ sQ64_spl
| op(e0,e0) = unit ),
inference(forward_demodulation,[status(thm)],[f2092,f126]) ).
fof(f2106,plain,
( sQ98_spl
| ~ sQ64_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f2112,f617]) ).
fof(f2112,plain,
( ~ sQ64_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f2103]) ).
fof(f2115,plain,
( sQ98_spl
| ~ sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2106,f278,f480,f615]) ).
fof(f2121,plain,
( ~ sQ98_spl
| ~ sQ64_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f2112,f616]) ).
fof(f2122,plain,
( ~ sQ98_spl
| ~ sQ64_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f2112,f2121]) ).
fof(f2123,plain,
( ~ sQ98_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2122,f214]) ).
fof(f2124,plain,
( ~ sQ98_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2123]) ).
fof(f2129,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f539,f533]) ).
fof(f2130,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2129,f214]) ).
fof(f2131,plain,
( ~ sQ80_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2130]) ).
fof(f2132,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1045,f288,f314]) ).
fof(f2133,plain,
( ~ sQ66_spl
| ~ sQ73_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2080,f343,f509,f486]) ).
fof(f2134,plain,
( ~ sQ66_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1511,f288,f486]) ).
fof(f2159,plain,
( sQ100_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f338,f627]) ).
fof(f2160,plain,
( sQ91_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f338,f592]) ).
fof(f2162,plain,
( ~ sQ20_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f338,f199]) ).
fof(f2163,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f338,f198]) ).
fof(f2170,plain,
( sQ100_spl
| ~ sQ20_spl
| e2 != op(e1,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f69,f2159]) ).
fof(f2174,plain,
( ~ sQ80_spl
| inv(e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f533,f141]) ).
fof(f2196,plain,
( ~ sQ65_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f2198,f193]) ).
fof(f2197,plain,
( ~ sQ65_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f2198,f192]) ).
fof(f2198,plain,
( ~ sQ65_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f117]) ).
fof(f2199,plain,
( ~ sQ65_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2196,f311,f483]) ).
fof(f2210,plain,
( ~ sQ73_spl
| op(e1,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f510,f128]) ).
fof(f2232,plain,
( ~ sQ79_spl
| inv(e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f529,f140]) ).
fof(f2233,plain,
( ~ sQ64_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f2236,f169]) ).
fof(f2236,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f119]) ).
fof(f2237,plain,
( ~ sQ64_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2233,f431,f480]) ).
fof(f2243,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1013,f424,f372]) ).
fof(f2251,plain,
( ~ sQ24_spl
| ~ sQ53_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1389,f428,f444,f350]) ).
fof(f2277,plain,
( ~ sQ62_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f474,f185]) ).
fof(f2280,plain,
( ~ sQ62_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f474,f209]) ).
fof(f2288,plain,
( sQ96_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f474,f610]) ).
fof(f2310,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| op(e0,e3) = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f474,f1254]) ).
fof(f2318,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f474,f211]) ).
fof(f2322,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f474,f187]) ).
fof(f2330,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f117]) ).
fof(f2341,plain,
( ~ sQ66_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f487,f122]) ).
fof(f2346,plain,
( ~ sQ62_spl
| op(e2,e1) = op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f474,f113]) ).
fof(f2355,plain,
( sQ86_spl
| ~ sQ62_spl
| e0 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f474,f574]) ).
fof(f2367,plain,
( sQ87_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f474,f577]) ).
fof(f2371,plain,
( ~ sQ66_spl
| op(e2,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f487,f118]) ).
fof(f2377,plain,
( ~ sQ66_spl
| op(e2,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f116]) ).
fof(f2378,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f344,f2210]) ).
fof(f2420,plain,
( ~ sQ69_spl
| ~ sQ66_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f1907]) ).
fof(f2422,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1675,f314,f275]) ).
fof(f2429,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f474,f905]) ).
fof(f2435,plain,
( ~ sQ66_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f2330,f190]) ).
fof(f2541,plain,
( ~ sQ78_spl
| op(e2,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f526,f130]) ).
fof(f2586,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f292,f189]) ).
fof(f2593,plain,
( ~ sQ6_spl
| op(e2,e3) = op(e0,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f292,f59]) ).
fof(f2594,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| e3 = op(e0,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f2341,f2593]) ).
fof(f2598,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| e3 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f364,f2594]) ).
fof(f2619,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f2598,f165]) ).
fof(f2630,plain,
( sQ103_spl
| ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f2598,f638]) ).
fof(f2631,plain,
( sQ103_spl
| ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f2630]) ).
fof(f2632,plain,
( sQ103_spl
| ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f331,f2631]) ).
fof(f2633,plain,
( sQ103_spl
| ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2632]) ).
fof(f2634,plain,
( sQ103_spl
| ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2650,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1041,f424,f320]) ).
fof(f2652,plain,
( ~ sQ2_spl
| ~ sQ66_spl
| e1 = op(e0,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f2371,f1442]) ).
fof(f2669,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2318,f447,f473]) ).
fof(f2676,plain,
( ~ sQ69_spl
| ~ sQ66_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2420,f330,f486,f496]) ).
fof(f2682,plain,
( ~ sQ83_spl
| op(e3,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f542,f132]) ).
fof(f2683,plain,
( ~ sQ65_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1206,f428,f483]) ).
fof(f2685,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1637,f379,f519,f483]) ).
fof(f2693,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2163,f350,f337]) ).
fof(f2695,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1082,f447,f343]) ).
fof(f2696,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1081,f330,f343]) ).
fof(f2740,plain,
( ~ sQ64_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f118]) ).
fof(f2745,plain,
( ~ sQ64_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f481,f119]) ).
fof(f2749,plain,
( ~ sQ64_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f2750,f201]) ).
fof(f2750,plain,
( ~ sQ64_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f121]) ).
fof(f2811,plain,
( ~ sQ64_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f2740,f173]) ).
fof(f2840,plain,
( sQ88_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f347,f581]) ).
fof(f2879,plain,
( ~ sQ83_spl
| ~ sQ60_spl
| e0 = unit ),
inference(forward_demodulation,[status(thm)],[f468,f905]) ).
fof(f2896,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| e1 = op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f2745,f1415]) ).
fof(f2897,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f2750,f2896]) ).
fof(f2903,plain,
( ~ sQ44_spl
| ~ sQ64_spl
| e1 = op(e2,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f2740,f1216]) ).
fof(f2904,plain,
( ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ54_spl
| e1 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f448,f2903]) ).
fof(f2907,plain,
( ~ sQ64_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f2740,f172]) ).
fof(f2928,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f468,f212]) ).
fof(f2936,plain,
( ~ sQ54_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f448,f210]) ).
fof(f2939,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f468,f188]) ).
fof(f2943,plain,
( ~ sQ60_spl
| op(op(e2,e3),e3) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f468,f99]) ).
fof(f2947,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f367,f186]) ).
fof(f2948,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f390,f174]) ).
fof(f2952,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f390,f205]) ).
fof(f2953,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2948,f337,f389]) ).
fof(f2955,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2952,f415,f389]) ).
fof(f2979,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f448,f173]) ).
fof(f3091,plain,
( sQ87_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f468,f577]) ).
fof(f3095,plain,
( ~ sQ60_spl
| op(e0,e3) = op(e3,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f468,f115]) ).
fof(f3098,plain,
( sQ87_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f3102,f3091]) ).
fof(f3101,plain,
( ~ sQ60_spl
| op(op(e1,e3),e0) = op(e1,op(e0,e3)) ),
inference(backward_demodulation,[status(thm)],[f3102,f80]) ).
fof(f3102,plain,
( ~ sQ60_spl
| op(e0,e3) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f468,f3095]) ).
fof(f3103,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3098,f314,f467,f575]) ).
fof(f3116,plain,
( ~ sQ68_spl
| e0 != inv(e2) ),
inference(forward_demodulation,[status(thm)],[f494,f160]) ).
fof(f3134,plain,
( ~ sQ28_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f187]) ).
fof(f3140,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f448,f207]) ).
fof(f3144,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f315,f185]) ).
fof(f3148,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3144,f470,f314]) ).
fof(f3172,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2162,f363,f337]) ).
fof(f3174,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2979,f291,f447]) ).
fof(f3194,plain,
( ~ sQ75_spl
| op(e1,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f1500,f132]) ).
fof(f3195,plain,
( ~ sQ75_spl
| ~ sQ66_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f3194]) ).
fof(f3252,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f432,f209]) ).
fof(f3255,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3252,f470,f431]) ).
fof(f3259,plain,
( ~ sQ60_spl
| ~ sQ49_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f432,f3102]) ).
fof(f3260,plain,
( ~ sQ60_spl
| ~ sQ49_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3259,f316]) ).
fof(f3261,plain,
( ~ sQ60_spl
| ~ sQ49_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3262,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ66_spl
| op(e2,e0) = op(e1,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f3195,f3101]) ).
fof(f3263,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ66_spl
| e0 = op(e1,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f2377,f3262]) ).
fof(f3268,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3140,f434,f447]) ).
fof(f3269,plain,
( ~ sQ63_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f1952]) ).
fof(f3270,plain,
( ~ sQ63_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3271,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2939,f415,f467]) ).
fof(f3272,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2928,f454,f467]) ).
fof(f3274,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1014,f320,f372]) ).
fof(f3275,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2280,f434,f473]) ).
fof(f3317,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f2541]) ).
fof(f3318,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f435,f167]) ).
fof(f3337,plain,
( ~ sQ64_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2907,f392,f480]) ).
fof(f3347,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2619,f333,f363,f486,f291]) ).
fof(f3349,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3134,f467,f363]) ).
fof(f3371,plain,
( ~ sQ66_spl
| op(e0,inv(e0)) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f125]) ).
fof(f3378,plain,
( ~ sQ80_spl
| op(e3,e0) = unit ),
inference(forward_demodulation,[status(thm)],[f2174,f126]) ).
fof(f3425,plain,
( ~ sQ66_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f487,f117]) ).
fof(f3448,plain,
( ~ sQ73_spl
| ~ sQ66_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f3456,f171]) ).
fof(f3456,plain,
( ~ sQ73_spl
| ~ sQ66_spl
| op(e1,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f487,f2072]) ).
fof(f3457,plain,
( ~ sQ73_spl
| ~ sQ66_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3448,f291,f486,f509]) ).
fof(f3567,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1298,f191]) ).
fof(f3578,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2322,f369,f473]) ).
fof(f3601,plain,
( ~ sQ66_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1945,f311,f486]) ).
fof(f3610,plain,
( ~ sQ65_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1167,f395,f483]) ).
fof(f3613,plain,
( ~ sQ83_spl
| ~ sQ60_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2879,f480,f467,f541]) ).
fof(f3619,plain,
( sQ92_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1419,f398,f405,f594]) ).
fof(f3620,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f998,f450,f398]) ).
fof(f3673,plain,
( ~ sQ64_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f3683,f166]) ).
fof(f3683,plain,
( ~ sQ64_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f117]) ).
fof(f3684,plain,
( ~ sQ64_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3673,f376,f480]) ).
fof(f3714,plain,
( sQ86_spl
| ~ sQ62_spl
| e0 != op(e3,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f111,f2355]) ).
fof(f3717,plain,
( sQ104_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1136,f314,f281,f639]) ).
fof(f3721,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1060,f281,f294]) ).
fof(f3782,plain,
( ~ sQ66_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f487,f119]) ).
fof(f3827,plain,
( sQ88_spl
| ~ sQ23_spl
| e0 != op(e1,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f81,f2840]) ).
fof(f3837,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| ~ sQ66_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f3782,f2310]) ).
fof(f3880,plain,
( sQ91_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2160,f333,f337,f590]) ).
fof(f3997,plain,
( ~ sQ66_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f3425,f192]) ).
fof(f4229,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ66_spl
| ~ sQ13_spl
| e0 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f315,f3263]) ).
fof(f4269,plain,
( ~ sQ2_spl
| ~ sQ66_spl
| ~ sQ7_spl
| e1 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f295,f2652]) ).
fof(f4278,plain,
( sQ100_spl
| ~ sQ20_spl
| ~ sQ7_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f295,f2170]) ).
fof(f4282,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| ~ sQ66_spl
| ~ sQ13_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4229,f337,f314,f486,f515,f467]) ).
fof(f4293,plain,
( ~ sQ66_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3997,f285,f486]) ).
fof(f4302,plain,
( ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ54_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2904,f405,f447,f480,f415]) ).
fof(f4305,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1088,f398,f411]) ).
fof(f4306,plain,
( ~ sQ65_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1202,f285,f483]) ).
fof(f4308,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2586,f278,f291]) ).
fof(f4310,plain,
( ~ sQ64_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2749,f395,f480]) ).
fof(f4311,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1110,f450,f437]) ).
fof(f4314,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| ~ sQ66_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f3837,f314,f486,f473,f363]) ).
fof(f4315,plain,
( ~ sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2277,f317,f473]) ).
fof(f4384,plain,
( ~ sQ64_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f121]) ).
fof(f4411,plain,
( ~ sQ83_spl
| ~ sQ64_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f4417,f211]) ).
fof(f4417,plain,
( ~ sQ83_spl
| ~ sQ64_spl
| op(e3,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f2682]) ).
fof(f4418,plain,
( ~ sQ83_spl
| ~ sQ64_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4411,f441,f480,f541]) ).
fof(f4426,plain,
( ~ sQ65_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2197,f298,f483]) ).
fof(f4503,plain,
( ~ sQ57_spl
| op(op(e1,e3),e2) = op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f458,f82]) ).
fof(f4558,plain,
( ~ sQ41_spl
| op(e1,e2) = op(e2,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f406,f94]) ).
fof(f4578,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f406,f206]) ).
fof(f4582,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f383,f203]) ).
fof(f4588,plain,
( ~ sQ57_spl
| op(e3,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f458,f210]) ).
fof(f4608,plain,
( ~ sQ83_spl
| inv(e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f542,f164]) ).
fof(f4610,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1062,f346,f294]) ).
fof(f4615,plain,
( ~ sQ83_spl
| op(e3,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f542,f132]) ).
fof(f4639,plain,
( ~ sQ69_spl
| op(e0,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f1137,f128]) ).
fof(f4696,plain,
( ~ sQ66_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f273,f2435]) ).
fof(f4697,plain,
( ~ sQ66_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4696]) ).
fof(f4698,plain,
( ~ sQ66_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4697]) ).
fof(f4705,plain,
( ~ sQ83_spl
| ~ sQ64_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f911,f467,f480,f541]) ).
fof(f4720,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4582,f421,f382]) ).
fof(f4721,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3317,f405,f483,f525]) ).
fof(f4728,plain,
( ~ sQ64_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f4384,f382,f480]) ).
fof(f4731,plain,
( ~ sQ65_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1166,f382,f483]) ).
fof(f4733,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1664,f294,f275,f620]) ).
fof(f4734,plain,
( ~ sQ2_spl
| ~ sQ66_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f4269,f314,f294,f486,f278]) ).
fof(f4738,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3567,f278,f502,f486]) ).
fof(f4739,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3318,f278,f434]) ).
fof(f4768,plain,
( ~ sQ65_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f120]) ).
fof(f4787,plain,
( ~ sQ65_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f121]) ).
fof(f4796,plain,
( ~ sQ65_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f484,f123]) ).
fof(f4879,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1638,f178]) ).
fof(f4885,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f4879,f405,f519,f483]) ).
fof(f4888,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f435,f3378]) ).
fof(f4889,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| ~ sQ65_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f4888]) ).
fof(f4890,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4889,f216]) ).
fof(f4891,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f4890]) ).
fof(f4899,plain,
( ~ sQ83_spl
| ~ sQ61_spl
| e1 = unit ),
inference(forward_demodulation,[status(thm)],[f471,f4615]) ).
fof(f4900,plain,
( ~ sQ83_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f4608,f528,f541]) ).
fof(f4910,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1857,f275,f493,f483]) ).
fof(f4913,plain,
( ~ sQ62_spl
| ~ sQ65_spl
| e2 = op(e3,op(e3,e1)) ),
inference(forward_demodulation,[status(thm)],[f4787,f2346]) ).
fof(f4914,plain,
( ~ sQ62_spl
| ~ sQ65_spl
| e2 = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f4796,f4913]) ).
fof(f4976,plain,
( ~ sQ78_spl
| op(e2,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f526,f130]) ).
fof(f4992,plain,
( ~ sQ3_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f282,f166]) ).
fof(f4996,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4992,f385,f281]) ).
fof(f5001,plain,
( ~ sQ66_spl
| ~ sQ80_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f2174,f3371]) ).
fof(f5361,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f334,f196]) ).
fof(f5428,plain,
( sQ103_spl
| ~ sQ1_spl
| ~ sQ19_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f334,f1676]) ).
fof(f5429,plain,
( sQ103_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ66_spl
| ~ sQ80_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f5001,f5428]) ).
fof(f5430,plain,
( sQ103_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ66_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5429]) ).
fof(f5431,plain,
( sQ103_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ66_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f5430]) ).
fof(f5434,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f276,f167]) ).
fof(f5438,plain,
( ~ sQ75_spl
| ~ sQ53_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1434,f483,f444,f515]) ).
fof(f5441,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4588,f444,f457]) ).
fof(f5444,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1094,f428,f441]) ).
fof(f5445,plain,
( sQ100_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4278,f369,f294,f337,f625]) ).
fof(f5480,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f120]) ).
fof(f5561,plain,
( ~ sQ64_spl
| e2 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f5480,f177]) ).
fof(f5649,plain,
( ~ sQ61_spl
| op(e1,e0) = op(e3,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f471,f112]) ).
fof(f5658,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f455,f182]) ).
fof(f5688,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| op(e1,e1) = op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f2897,f93]) ).
fof(f5692,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ20_spl
| e0 = op(e2,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f338,f5688]) ).
fof(f5736,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1040,f476,f320]) ).
fof(f5757,plain,
( ~ sQ83_spl
| ~ sQ61_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4899,f483,f470,f541]) ).
fof(f5764,plain,
( sQ88_spl
| ~ sQ23_spl
| ~ sQ54_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f448,f3827]) ).
fof(f5780,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f5658,f402,f454]) ).
fof(f5783,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2073,f376,f428]) ).
fof(f5786,plain,
( ~ sQ68_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3116,f519,f493]) ).
fof(f5800,plain,
( ~ sQ65_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f4768,f356,f483]) ).
fof(f5801,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1025,f411,f359]) ).
fof(f5805,plain,
( ~ sQ67_spl
| inv(e3) = unit ),
inference(forward_demodulation,[status(thm)],[f490,f137]) ).
fof(f5806,plain,
( ~ sQ67_spl
| inv(e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f5805]) ).
fof(f5809,plain,
( sQ83_spl
| ~ sQ67_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f5806,f543]) ).
fof(f5810,plain,
( sQ83_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5809]) ).
fof(f5811,plain,
( sQ83_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f5810]) ).
fof(f5812,plain,
( sQ88_spl
| ~ sQ23_spl
| ~ sQ54_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5764,f350,f447,f346,f579]) ).
fof(f5817,plain,
( ~ sQ65_spl
| inv(e1) = unit ),
inference(forward_demodulation,[status(thm)],[f484,f137]) ).
fof(f5820,plain,
( ~ sQ65_spl
| inv(e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f5817]) ).
fof(f5827,plain,
( ~ sQ80_spl
| op(e0,e3) = unit ),
inference(forward_demodulation,[status(thm)],[f533,f132]) ).
fof(f5830,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| op(e0,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f5827]) ).
fof(f5832,plain,
( ~ sQ80_spl
| op(e3,e0) = unit ),
inference(forward_demodulation,[status(thm)],[f533,f131]) ).
fof(f5834,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f5835,f208]) ).
fof(f5835,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f5832]) ).
fof(f5836,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5834,f457,f483,f532]) ).
fof(f5861,plain,
( ~ sQ65_spl
| op(e1,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f5820,f128]) ).
fof(f5863,plain,
( ~ sQ65_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f5861]) ).
fof(f5870,plain,
( ~ sQ65_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f5873,f187]) ).
fof(f5873,plain,
( ~ sQ65_spl
| op(e1,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f484,f122]) ).
fof(f5876,plain,
( ~ sQ65_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f121]) ).
fof(f5884,plain,
( ~ sQ65_spl
| op(e1,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f484,f120]) ).
fof(f5886,plain,
( ~ sQ65_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f117]) ).
fof(f5890,plain,
( ~ sQ78_spl
| op(e2,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f526,f129]) ).
fof(f5894,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| op(e2,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f5890]) ).
fof(f5941,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| op(op(e0,e2),e2) = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f5894,f62]) ).
fof(f5942,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| op(op(e0,e2),e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f5886,f5941]) ).
fof(f6043,plain,
( ~ sQ2_spl
| op(e2,e0) = op(e0,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f279,f52]) ).
fof(f6052,plain,
( ~ sQ2_spl
| op(e2,e0) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f279,f6043]) ).
fof(f6115,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ2_spl
| op(e3,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f6117,f5942]) ).
fof(f6117,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| op(e0,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f6052,f386]) ).
fof(f6190,plain,
( ~ sQ65_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f5884,f181]) ).
fof(f6246,plain,
( sQ93_spl
| ~ sQ78_spl
| ~ sQ65_spl
| e1 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f5894,f600]) ).
fof(f6247,plain,
( sQ93_spl
| ~ sQ78_spl
| ~ sQ65_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f5876,f6246]) ).
fof(f6248,plain,
( sQ93_spl
| ~ sQ78_spl
| ~ sQ65_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5894,f6247]) ).
fof(f6249,plain,
( sQ93_spl
| ~ sQ78_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6248]) ).
fof(f6250,plain,
( sQ93_spl
| ~ sQ78_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f6249]) ).
fof(f6256,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ65_spl
| e1 != op(op(e3,e2),e3) ),
inference(forward_demodulation,[status(thm)],[f4914,f607]) ).
fof(f6257,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ65_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f455,f6256]) ).
fof(f6258,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ65_spl
| ~ sQ56_spl
| ~ sQ80_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f5830,f6257]) ).
fof(f6259,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ65_spl
| ~ sQ56_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6258]) ).
fof(f6260,plain,
( sQ95_spl
| ~ sQ62_spl
| ~ sQ65_spl
| ~ sQ56_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f6259]) ).
fof(f6267,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f416,f184]) ).
fof(f6274,plain,
( ~ sQ65_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5870,f476,f483]) ).
fof(f6281,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5434,f431,f275]) ).
fof(f6296,plain,
( ~ sQ57_spl
| ~ sQ65_spl
| op(e3,e2) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f5873,f4503]) ).
fof(f6297,plain,
( ~ sQ57_spl
| ~ sQ65_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f5863,f6296]) ).
fof(f6315,plain,
( ~ sQ64_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f5480,f304,f480]) ).
fof(f6316,plain,
( ~ sQ64_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5561,f356,f480]) ).
fof(f6317,plain,
( ~ sQ64_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2811,f444,f480]) ).
fof(f6340,plain,
( ~ sQ83_spl
| ~ sQ62_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2429,f486,f473,f541]) ).
fof(f6347,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f6117,f307,f278,f385]) ).
fof(f6354,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2378,f486,f343,f509]) ).
fof(f6356,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1050,f294,f307]) ).
fof(f6366,plain,
( sQ106_spl
| ~ sQ41_spl
| e3 != op(op(e1,e2),e2) ),
inference(backward_demodulation,[status(thm)],[f4558,f652]) ).
fof(f6396,plain,
( ~ sQ41_spl
| op(e1,e2) = op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f406,f4558]) ).
fof(f6404,plain,
( ~ sQ73_spl
| ~ sQ67_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f2210]) ).
fof(f6414,plain,
( ~ sQ67_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f117]) ).
fof(f6415,plain,
( ~ sQ67_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6414,f6267]) ).
fof(f6416,plain,
( ~ sQ67_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f6415]) ).
fof(f6425,plain,
( ~ sQ36_spl
| ~ sQ73_spl
| ~ sQ67_spl
| op(e0,e1) = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f6404,f1243]) ).
fof(f6428,plain,
( ~ sQ67_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f6434,f179]) ).
fof(f6432,plain,
( ~ sQ67_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f6434,f208]) ).
fof(f6434,plain,
( ~ sQ67_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f120]) ).
fof(f6436,plain,
( ~ sQ67_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6432,f434,f489]) ).
fof(f6444,plain,
( ~ sQ67_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f116]) ).
fof(f6448,plain,
( ~ sQ67_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f118]) ).
fof(f6451,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f121]) ).
fof(f6460,plain,
( ~ sQ56_spl
| ~ sQ67_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f6434,f455]) ).
fof(f6461,plain,
( ~ sQ56_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6460,f214]) ).
fof(f6462,plain,
( ~ sQ56_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f6461]) ).
fof(f6472,plain,
( ~ sQ65_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6190,f460,f483]) ).
fof(f6481,plain,
( ~ sQ78_spl
| ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ2_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f6115,f454,f278,f385,f483,f525]) ).
fof(f6501,plain,
( ~ sQ78_spl
| ~ sQ41_spl
| e1 = unit ),
inference(forward_demodulation,[status(thm)],[f406,f4976]) ).
fof(f6536,plain,
( ~ sQ67_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f6434,f460,f489]) ).
fof(f6537,plain,
( ~ sQ67_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f6444,f428,f489]) ).
fof(f6538,plain,
( ~ sQ67_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f6448,f444,f489]) ).
fof(f6540,plain,
( sQ96_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2288,f454,f473,f608]) ).
fof(f6541,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1076,f385,f411]) ).
fof(f6542,plain,
( sQ94_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1139,f415,f411,f601]) ).
fof(f6544,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1497,f398,f346]) ).
fof(f6560,plain,
( ~ sQ67_spl
| op(e2,inv(e2)) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f129]) ).
fof(f6563,plain,
( ~ sQ67_spl
| op(inv(e2),e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f130]) ).
fof(f6564,plain,
( ~ sQ67_spl
| ~ sQ74_spl
| op(e1,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f900,f6563]) ).
fof(f6565,plain,
( ~ sQ67_spl
| ~ sQ74_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f900,f6560]) ).
fof(f6613,plain,
( ~ sQ67_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f119]) ).
fof(f6624,plain,
( ~ sQ67_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f120]) ).
fof(f6626,plain,
( ~ sQ67_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f6627,f194]) ).
fof(f6627,plain,
( ~ sQ67_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f117]) ).
fof(f6632,plain,
( ~ sQ67_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f6624,f181]) ).
fof(f6637,plain,
( ~ sQ67_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f6613,f200]) ).
fof(f6659,plain,
( ~ sQ40_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f403,f178]) ).
fof(f6714,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f399,f1417]) ).
fof(f6781,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ20_spl
| ~ sQ39_spl
| e0 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f399,f5692]) ).
fof(f6840,plain,
( ~ sQ41_spl
| ~ sQ27_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f360,f6396]) ).
fof(f6867,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f399,f201]) ).
fof(f6871,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f328,f168]) ).
fof(f6879,plain,
( ~ sQ39_spl
| op(e3,e2) = op(e2,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f399,f90]) ).
fof(f6881,plain,
( ~ sQ39_spl
| ~ sQ27_spl
| op(e3,e2) = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f360,f6879]) ).
fof(f6898,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f328,f195]) ).
fof(f6902,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f328,f197]) ).
fof(f6910,plain,
( sQ57_spl
| ~ sQ39_spl
| ~ sQ27_spl
| op(e2,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f6881,f459]) ).
fof(f6924,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ27_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f6881,f6714]) ).
fof(f6932,plain,
( ~ sQ73_spl
| op(e1,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f510,f128]) ).
fof(f6933,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e0 = unit ),
inference(forward_demodulation,[status(thm)],[f338,f6932]) ).
fof(f6994,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ20_spl
| ~ sQ39_spl
| sQ84_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6781,f6924]) ).
fof(f6995,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ20_spl
| ~ sQ39_spl
| sQ84_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6994]) ).
fof(f6997,plain,
( ~ sQ67_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f6428,f304,f489]) ).
fof(f7001,plain,
( ~ sQ67_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f6637,f353,f489]) ).
fof(f7073,plain,
( ~ sQ79_spl
| op(e3,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f2232,f131]) ).
fof(f7074,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f7082,f182]) ).
fof(f7080,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f7082,f212]) ).
fof(f7082,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| op(e3,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f7073]) ).
fof(f7086,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f7080,f470,f483,f528]) ).
fof(f7093,plain,
( ~ sQ64_spl
| op(inv(e3),e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f132]) ).
fof(f7098,plain,
( ~ sQ64_spl
| op(e2,inv(e2)) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f129]) ).
fof(f7102,plain,
( ~ sQ64_spl
| ~ sQ75_spl
| op(e1,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f1500,f7093]) ).
fof(f7116,plain,
( ~ sQ64_spl
| ~ sQ78_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f526,f7098]) ).
fof(f7128,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f471,f188]) ).
fof(f7142,plain,
( ~ sQ44_spl
| op(e2,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f416,f206]) ).
fof(f7144,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f7142,f402,f415]) ).
fof(f7206,plain,
( ~ sQ21_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f341,f171]) ).
fof(f7232,plain,
( ~ sQ65_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f7234,f165]) ).
fof(f7234,plain,
( ~ sQ65_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f116]) ).
fof(f7352,plain,
( ~ sQ21_spl
| op(e1,e2) = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f341,f74]) ).
fof(f7364,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| e0 = op(e3,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f7234,f5649]) ).
fof(f7370,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ50_spl
| e0 = op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f435,f7364]) ).
fof(f7411,plain,
( ~ sQ56_spl
| op(op(e0,e3),e2) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f455,f66]) ).
fof(f7412,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| op(op(e0,e3),e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f282,f7411]) ).
fof(f7431,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ14_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f318,f7412]) ).
fof(f7440,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f7128]) ).
fof(f7441,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f7440]) ).
fof(f7446,plain,
( ~ sQ3_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f282,f165]) ).
fof(f7451,plain,
( ~ sQ67_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f6451,f421,f489]) ).
fof(f7453,plain,
( ~ sQ67_spl
| ~ sQ74_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f6564,f359,f512,f489]) ).
fof(f7454,plain,
( ~ sQ67_spl
| ~ sQ74_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f6565,f398,f512,f489]) ).
fof(f7472,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2947,f418,f366]) ).
fof(f7481,plain,
( ~ sQ79_spl
| ~ sQ65_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f7074,f405,f483,f528]) ).
fof(f7484,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f4578,f418,f405]) ).
fof(f7486,plain,
( ~ sQ64_spl
| ~ sQ78_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f7116,f402,f525,f480]) ).
fof(f7490,plain,
( ~ sQ64_spl
| ~ sQ75_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f7102,f363,f515,f480]) ).
fof(f7491,plain,
( ~ sQ67_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6626,f298,f489]) ).
fof(f7492,plain,
( ~ sQ40_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6659,f298,f402]) ).
fof(f7493,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ14_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f7431,f411,f317,f281,f454]) ).
fof(f7517,plain,
( ~ sQ76_spl
| op(e0,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f520,f130]) ).
fof(f7520,plain,
( ~ sQ76_spl
| ~ sQ65_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f484,f7517]) ).
fof(f8214,plain,
( sQ93_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f412,f600]) ).
fof(f8215,plain,
( sQ93_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f416,f8214]) ).
fof(f8216,plain,
( sQ93_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ76_spl
| ~ sQ65_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f7520,f8215]) ).
fof(f8217,plain,
( sQ93_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ76_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8216]) ).
fof(f8218,plain,
( sQ93_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ76_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f8217]) ).
fof(f8227,plain,
( ~ sQ65_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7232,f272,f483]) ).
fof(f8242,plain,
( sQ56_spl
| ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ50_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f7370,f456]) ).
fof(f8243,plain,
( sQ56_spl
| ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8242]) ).
fof(f8244,plain,
( sQ56_spl
| ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f8243]) ).
fof(f8249,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| op(e2,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f520,f6560]) ).
fof(f8250,plain,
( ~ sQ73_spl
| ~ sQ67_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f6404,f346,f489,f509]) ).
fof(f8253,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f6933,f480,f337,f509]) ).
fof(f8262,plain,
( ~ sQ41_spl
| ~ sQ27_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f6840,f398,f359,f405]) ).
fof(f8263,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6902,f366,f327]) ).
fof(f8264,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6871,f379,f327]) ).
fof(f8279,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f5361,f359,f333]) ).
fof(f8327,plain,
( ~ sQ65_spl
| op(e1,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f484,f116]) ).
fof(f8600,plain,
( ~ sQ11_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f308,f177]) ).
fof(f8659,plain,
( sQ92_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f403,f596]) ).
fof(f8660,plain,
( sQ92_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f386,f8659]) ).
fof(f8661,plain,
( sQ92_spl
| ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8660]) ).
fof(f8662,plain,
( sQ92_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f8661]) ).
fof(f8664,plain,
( sQ93_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f403,f600]) ).
fof(f8665,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f386,f8664]) ).
fof(f8666,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl
| ~ sQ65_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f6297,f8665]) ).
fof(f8667,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8666]) ).
fof(f8668,plain,
( sQ93_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f8667]) ).
fof(f8682,plain,
( ~ sQ45_spl
| op(e1,e0) = op(e2,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f419,f96]) ).
fof(f8683,plain,
( ~ sQ45_spl
| ~ sQ65_spl
| e0 = op(e2,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f8327,f8682]) ).
fof(f8684,plain,
( ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ50_spl
| e0 = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f435,f8683]) ).
fof(f8708,plain,
( sQ40_spl
| ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ50_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f8684,f404]) ).
fof(f8709,plain,
( sQ40_spl
| ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8708]) ).
fof(f8710,plain,
( sQ40_spl
| ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f8709]) ).
fof(f8782,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| op(e0,e3) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f419,f1266]) ).
fof(f8795,plain,
( ~ sQ60_spl
| ~ sQ45_spl
| op(e1,e3) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f419,f2943]) ).
fof(f8837,plain,
( ~ sQ74_spl
| op(e2,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f513,f128]) ).
fof(f8841,plain,
( ~ sQ74_spl
| ~ sQ64_spl
| op(e2,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f8837]) ).
fof(f8907,plain,
( ~ sQ64_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f120]) ).
fof(f8928,plain,
( ~ sQ64_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f481,f121]) ).
fof(f8933,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| ~ sQ45_spl
| op(e1,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f8795,f8928]) ).
fof(f8943,plain,
( ~ sQ64_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f481,f122]) ).
fof(f8947,plain,
( ~ sQ64_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f481,f123]) ).
fof(f8982,plain,
( ~ sQ57_spl
| op(e1,e1) = op(e3,op(e2,e1)) ),
inference(forward_demodulation,[status(thm)],[f458,f109]) ).
fof(f8983,plain,
( ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| op(e1,e1) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f8841,f8982]) ).
fof(f8986,plain,
( ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| op(e1,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f8947,f8983]) ).
fof(f9185,plain,
( ~ sQ74_spl
| op(e1,e2) = unit ),
inference(forward_demodulation,[status(thm)],[f900,f130]) ).
fof(f9282,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ64_spl
| e3 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f8943,f8782]) ).
fof(f9316,plain,
( ~ sQ64_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f8907,f179]) ).
fof(f9321,plain,
( sQ89_spl
| ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f8986,f584]) ).
fof(f9322,plain,
( sQ89_spl
| ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| ~ sQ60_spl
| ~ sQ45_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f8933,f9321]) ).
fof(f9323,plain,
( sQ89_spl
| ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| ~ sQ60_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9322]) ).
fof(f9324,plain,
( sQ89_spl
| ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| ~ sQ60_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f9323]) ).
fof(f9325,plain,
( ~ sQ64_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f9316,f460,f480]) ).
fof(f9343,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2936,f460,f447]) ).
fof(f9372,plain,
( ~ sQ74_spl
| ~ sQ67_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f9185]) ).
fof(f9388,plain,
( ~ sQ67_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f119]) ).
fof(f9409,plain,
( ~ sQ58_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f461,f182]) ).
fof(f9413,plain,
( ~ sQ67_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f117]) ).
fof(f9456,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ67_spl
| e3 = op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f9372,f7352]) ).
fof(f9457,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ67_spl
| e3 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f9372,f9456]) ).
fof(f9458,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ67_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f9388,f9457]) ).
fof(f9459,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9458,f217]) ).
fof(f9460,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f9459]) ).
fof(f9466,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| e0 = op(e1,op(e1,e3)) ),
inference(forward_demodulation,[status(thm)],[f9413,f1966]) ).
fof(f9467,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| e0 = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f9388,f9466]) ).
fof(f9591,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f292,f172]) ).
fof(f9594,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f302,f178]) ).
fof(f9597,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f9594,f405,f301]) ).
fof(f9598,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f9409]) ).
fof(f9599,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f9598]) ).
fof(f9602,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ64_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f9282,f346,f480,f418,f350]) ).
fof(f9614,plain,
( ~ sQ57_spl
| ~ sQ74_spl
| ~ sQ64_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f8986,f346,f480,f512,f457]) ).
fof(f9616,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f6898,f340,f327]) ).
fof(f9617,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f7206,f288,f340]) ).
fof(f9618,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f8249,f385,f519,f489]) ).
fof(f9673,plain,
( ~ sQ67_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f117]) ).
fof(f9677,plain,
( ~ sQ67_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f9678,f169]) ).
fof(f9678,plain,
( ~ sQ67_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f116]) ).
fof(f9682,plain,
( ~ sQ67_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f9683,f176]) ).
fof(f9683,plain,
( ~ sQ67_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f118]) ).
fof(f9690,plain,
( ~ sQ67_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f119]) ).
fof(f9696,plain,
( ~ sQ67_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f121]) ).
fof(f9719,plain,
( ~ sQ41_spl
| ~ sQ24_spl
| e0 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f351,f6396]) ).
fof(f9724,plain,
( sQ106_spl
| ~ sQ41_spl
| ~ sQ24_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f351,f6366]) ).
fof(f9733,plain,
( ~ sQ36_spl
| ~ sQ73_spl
| ~ sQ67_spl
| op(e0,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f9696,f6425]) ).
fof(f9843,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f390,f204]) ).
fof(f9874,plain,
( ~ sQ67_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f9673,f191]) ).
fof(f9891,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f331,f165]) ).
fof(f9949,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| e2 = unit ),
inference(forward_demodulation,[status(thm)],[f331,f1271]) ).
fof(f9950,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ67_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f9949]) ).
fof(f9951,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9950,f218]) ).
fof(f9952,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f9951]) ).
fof(f9958,plain,
( sQ94_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f406,f603]) ).
fof(f9959,plain,
( ~ sQ67_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f9677,f324,f489]) ).
fof(f9985,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f8600,f359,f307]) ).
fof(f9998,plain,
( ~ sQ67_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f9696,f205]) ).
fof(f9999,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f9843,f402,f389]) ).
fof(f10001,plain,
( ~ sQ69_spl
| ~ sQ67_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f4639]) ).
fof(f10030,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f7446,f333,f281]) ).
fof(f10033,plain,
( ~ sQ78_spl
| ~ sQ67_spl
| op(e2,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f5890]) ).
fof(f10101,plain,
( ~ sQ75_spl
| op(e3,e1) = unit ),
inference(forward_demodulation,[status(thm)],[f516,f128]) ).
fof(f10109,plain,
( ~ sQ75_spl
| ~ sQ64_spl
| op(e3,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f481,f10101]) ).
fof(f10307,plain,
( ~ sQ27_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f360,f181]) ).
fof(f10462,plain,
( ~ sQ64_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f8947,f208]) ).
fof(f10510,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ45_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f419,f3714]) ).
fof(f10511,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ75_spl
| ~ sQ64_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f10109,f10510]) ).
fof(f10512,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ75_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10511]) ).
fof(f10513,plain,
( sQ86_spl
| ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ75_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f10512]) ).
fof(f10541,plain,
( ~ sQ67_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f9673,f311,f489]) ).
fof(f10542,plain,
( ~ sQ67_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f9690,f366,f489]) ).
fof(f10543,plain,
( ~ sQ67_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f9874,f272,f489]) ).
fof(f10552,plain,
( ~ sQ67_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f9682,f392,f489]) ).
fof(f10591,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2367,f457,f473,f575]) ).
fof(f10604,plain,
( ~ sQ36_spl
| ~ sQ73_spl
| ~ sQ67_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f9733,f291,f489,f509,f389]) ).
fof(f10605,plain,
( sQ94_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f9958,f389,f405,f601]) ).
fof(f10606,plain,
( ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f9891,f278,f330]) ).
fof(f10607,plain,
( ~ sQ67_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6632,f356,f489]) ).
fof(f10608,plain,
( ~ sQ64_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f10462,f463,f480]) ).
fof(f10611,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f10307,f463,f359]) ).
fof(f10614,plain,
( sQ57_spl
| ~ sQ39_spl
| ~ sQ27_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f6910,f418,f359,f398,f457]) ).
fof(f10615,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1100,f463,f437]) ).
fof(f10662,plain,
( ~ sQ67_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f490,f120]) ).
fof(f10670,plain,
( ~ sQ67_spl
| op(e3,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f490,f116]) ).
fof(f10678,plain,
( ~ sQ67_spl
| op(e3,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f490,f118]) ).
fof(f10812,plain,
( ~ sQ67_spl
| op(e0,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f10678,f173]) ).
fof(f10967,plain,
( ~ sQ27_spl
| op(e3,e2) = op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f360,f78]) ).
fof(f10968,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| e2 = op(e1,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f10662,f10967]) ).
fof(f10970,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| ~ sQ40_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f403,f10968]) ).
fof(f10990,plain,
( sQ105_spl
| ~ sQ20_spl
| ~ sQ67_spl
| e3 != op(op(e1,e0),e1) ),
inference(forward_demodulation,[status(thm)],[f9467,f648]) ).
fof(f10991,plain,
( sQ105_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f10970,f10990]) ).
fof(f10992,plain,
( sQ105_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| ~ sQ39_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f399,f10991]) ).
fof(f10993,plain,
( sQ105_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10992]) ).
fof(f10994,plain,
( sQ105_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f10993]) ).
fof(f10997,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ67_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f9467,f584]) ).
fof(f10998,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f10970,f10997]) ).
fof(f10999,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10998]) ).
fof(f11000,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f10999]) ).
fof(f11037,plain,
( ~ sQ41_spl
| ~ sQ24_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f9719,f389,f350,f405]) ).
fof(f11090,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f9591,f395,f291]) ).
fof(f11094,plain,
( ~ sQ67_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f9998,f395,f489]) ).
fof(f11117,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| op(e0,e0) = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f10670,f1447]) ).
fof(f11118,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| op(e0,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f10662,f11117]) ).
fof(f11125,plain,
( ~ sQ69_spl
| ~ sQ67_spl
| op(e1,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f490,f1271]) ).
fof(f11132,plain,
( ~ sQ69_spl
| ~ sQ67_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f10001,f294,f489,f496]) ).
fof(f11134,plain,
( ~ sQ67_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10812,f288,f489]) ).
fof(f11156,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6867,f385,f398]) ).
fof(f11171,plain,
( ~ sQ78_spl
| ~ sQ67_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f10033,f411,f489,f525]) ).
fof(f11177,plain,
( ~ sQ78_spl
| ~ sQ41_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f6501,f483,f405,f525]) ).
fof(f11194,plain,
( sQ106_spl
| ~ sQ41_spl
| ~ sQ24_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f9724,f307,f350,f405,f650]) ).
fof(f11392,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ67_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f11118,f656]) ).
fof(f11393,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f302,f11392]) ).
fof(f11394,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| ~ sQ69_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f11125,f11393]) ).
fof(f11395,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11394]) ).
fof(f11396,plain,
( sQ107_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f11395]) ).
fof(f11399,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ67_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f11118,f641]) ).
fof(f11400,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f302,f11399]) ).
fof(f11401,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11400]) ).
fof(f11402,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f11401]) ).
fof(f11403,plain,
$false,
inference(sat_refutation,[status(thm)],[f284,f297,f310,f323,f336,f349,f362,f375,f388,f401,f414,f427,f440,f453,f466,f479,f492,f505,f518,f531,f544,f546,f547,f548,f549,f551,f554,f556,f557,f558,f559,f561,f562,f563,f564,f578,f585,f597,f604,f611,f624,f642,f643,f644,f645,f653,f657,f660,f663,f666,f677,f695,f701,f713,f726,f730,f747,f758,f766,f781,f790,f800,f942,f947,f958,f968,f989,f994,f1003,f1006,f1012,f1019,f1029,f1038,f1044,f1048,f1056,f1059,f1068,f1099,f1109,f1142,f1145,f1171,f1172,f1173,f1174,f1175,f1176,f1227,f1366,f1382,f1457,f1458,f1461,f1520,f1523,f1524,f1528,f1529,f1530,f1531,f1559,f1560,f1561,f1562,f1583,f1584,f1585,f1623,f1678,f1700,f1749,f1792,f1796,f1853,f1855,f2006,f2008,f2011,f2057,f2062,f2076,f2077,f2079,f2081,f2083,f2115,f2124,f2131,f2132,f2133,f2134,f2199,f2237,f2243,f2251,f2422,f2634,f2650,f2669,f2676,f2683,f2685,f2693,f2695,f2696,f2953,f2955,f3103,f3148,f3172,f3174,f3255,f3261,f3268,f3270,f3271,f3272,f3274,f3275,f3337,f3347,f3349,f3457,f3578,f3601,f3610,f3613,f3619,f3620,f3684,f3717,f3721,f3880,f4282,f4293,f4302,f4305,f4306,f4308,f4310,f4311,f4314,f4315,f4418,f4426,f4610,f4698,f4705,f4720,f4721,f4728,f4731,f4733,f4734,f4738,f4739,f4885,f4891,f4900,f4910,f4996,f5431,f5438,f5441,f5444,f5445,f5736,f5757,f5780,f5783,f5786,f5800,f5801,f5811,f5812,f5836,f6250,f6260,f6274,f6281,f6315,f6316,f6317,f6340,f6347,f6354,f6356,f6416,f6436,f6462,f6472,f6481,f6536,f6537,f6538,f6540,f6541,f6542,f6544,f6995,f6997,f7001,f7086,f7144,f7441,f7451,f7453,f7454,f7472,f7481,f7484,f7486,f7490,f7491,f7492,f7493,f8218,f8227,f8244,f8250,f8253,f8262,f8263,f8264,f8279,f8662,f8668,f8710,f9324,f9325,f9343,f9460,f9597,f9599,f9602,f9614,f9616,f9617,f9618,f9952,f9959,f9985,f9999,f10030,f10513,f10541,f10542,f10543,f10552,f10591,f10604,f10605,f10606,f10607,f10608,f10611,f10614,f10615,f10994,f11000,f11037,f11090,f11094,f11132,f11134,f11156,f11171,f11177,f11194,f11396,f11402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG024+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 12:53:29 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 5.42/1.21 % Refutation found
% 5.42/1.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.42/1.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.42/1.24 % Elapsed time: 0.846798 seconds
% 5.42/1.24 % CPU time: 6.477564 seconds
% 5.42/1.24 % Total memory used: 123.471 MB
% 5.42/1.24 % Net memory used: 120.001 MB
%------------------------------------------------------------------------------