%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG139+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:34 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.49s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 120
% Syntax : Number of formulae : 741 ( 45 unt; 100 def)
% Number of atoms : 2210 (1045 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2597 (1128 ~;1159 |; 206 &)
% ( 104 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 102 ( 100 usr; 101 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e2,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e1,e1) != e3
& op(e3,e3) = e1 )
| ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e0,e0) != e3
& op(e3,e3) = e0 )
| ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,definition,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f135,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f136,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP3_prd )
& ( ( op(e2,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd )
& ( ( op(e1,e1) != e3
& op(e3,e3) = e1 )
| sP1_prd )
& ( ( op(e0,e0) != e3
& op(e3,e3) = e0 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f135,f134,f133,f132]) ).
fof(f137,plain,
( op(e3,e3) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
( op(e0,e0) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
( op(e3,e3) = e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
( op(e1,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
( op(e3,e3) = e2
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f142,plain,
( op(e2,e2) != e3
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f143,plain,
( op(e3,e3) = e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f144,plain,
( op(e3,e3) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f145,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f146,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f149,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f150,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f152,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f154,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f157,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f158,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f161,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f162,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f164,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f166,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f170,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f172,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f174,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f177,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f178,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f180,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f187,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f188,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f192,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,definition,
( sP4_prd
<=> ( ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f194,plain,
( sP0_prd
<=> ( ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f193]) ).
fof(f195,plain,
( ( ( ( op(e0,e0) = e2
| op(e2,e2) != e0 )
& ~ sP4_prd )
| sP0_prd )
& ( ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| sP4_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e2,e2) = e0
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( op(e0,e0) != e2
| sP4_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sP4_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f200,definition,
( sP5_prd
<=> ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f201,plain,
( sP1_prd
<=> ( ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f200]) ).
fof(f202,plain,
( ( ( ( op(e1,e1) = e2
| op(e2,e2) != e1 )
& ~ sP5_prd )
| sP1_prd )
& ( ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| sP5_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( op(e2,e2) = e1
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( op(e1,e1) != e2
| sP5_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f207,definition,
( sP6_prd
<=> ( ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f208,plain,
( sP2_prd
<=> ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f134,f207]) ).
fof(f209,plain,
( ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP6_prd )
| sP2_prd )
& ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( op(e2,e2) = e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( op(e2,e2) != e2
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f214,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f215,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f135,f214]) ).
fof(f216,plain,
( ( ( ( op(e3,e3) = e2
| op(e2,e2) != e3 )
& ~ sP7_prd )
| sP3_prd )
& ( ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| sP7_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e2,e2) = e3
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e3) != e2
| sP7_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f220,plain,
( op(e3,e3) = e2
| op(e2,e2) != e3
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( ( ( ( op(e0,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| sP4_prd )
& ( ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f222,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( op(e0,e0) != e1
| op(e0,e0) = e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
( op(e1,e1) = e0
| op(e0,e0) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
( op(e0,e0) != e1
| op(e0,e0) != e0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f228,plain,
( ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e0,e0) != e1 ) )
| sP5_prd )
& ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f229,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( op(e1,e1) != e1
| op(e0,e0) = e1
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
( op(e1,e1) = e1
| op(e1,e1) != e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
( op(e1,e1) != e1
| op(e1,e1) != e0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f235,plain,
( ( ( ( op(e2,e2) = e1
| op(e1,e1) != e2 )
& ( op(e2,e2) = e0
| op(e0,e0) != e2 ) )
| sP6_prd )
& ( ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f207]) ).
fof(f236,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f242,plain,
( ( ( ( op(e3,e3) = e1
| op(e1,e1) != e3 )
& ( op(e3,e3) = e0
| op(e0,e0) != e3 ) )
| sP7_prd )
& ( ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f214]) ).
fof(f243,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op(e1,e1) = e3
| op(e3,e3) != e0
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f249,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f275,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f294,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f301,f304,f307,f310]) ).
fof(f314,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f340,f343,f346,f349]) ).
fof(f353,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f372,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f379,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f379,f382,f385,f388]) ).
fof(f392,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f408,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f427,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f418,f421,f424,f427]) ).
fof(f431,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f431,f434,f437,f440]) ).
fof(f444,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f459,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f252,f265,f278,f291]) ).
fof(f460,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f252,f304,f356,f408]) ).
fof(f462,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f255,f307,f359,f411]) ).
fof(f463,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f258,f271,f284,f297]) ).
fof(f464,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f258,f310,f362,f414]) ).
fof(f465,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f301,f314,f327,f340]) ).
fof(f466,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f262,f314,f366,f418]) ).
fof(f469,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f307,f320,f333,f346]) ).
fof(f470,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f268,f320,f372,f424]) ).
fof(f472,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f271,f323,f375,f427]) ).
fof(f473,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f353,f366,f379,f392]) ).
fof(f474,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f275,f327,f379,f431]) ).
fof(f476,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f278,f330,f382,f434]) ).
fof(f479,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f362,f375,f388,f401]) ).
fof(f480,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f284,f336,f388,f440]) ).
fof(f481,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f405,f418,f431,f444]) ).
fof(f482,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f288,f340,f392,f444]) ).
fof(f483,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f408,f421,f434,f447]) ).
fof(f487,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f414,f427,f440,f453]) ).
fof(f488,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f297,f349,f401,f453]) ).
fof(f489,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ60_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f137,f489,f444]) ).
fof(f493,plain,
( ~ sQ3_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f138,f489,f258]) ).
fof(f494,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ61_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f494,f447]) ).
fof(f498,plain,
( ~ sQ23_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f494,f323]) ).
fof(f499,definition,
( sQ66_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ62_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f141,f499,f450]) ).
fof(f503,plain,
( ~ sQ43_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f142,f499,f388]) ).
fof(f504,definition,
( sQ67_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f143,f504,f453]) ).
fof(f508,plain,
( ~ sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f144,f504,f453]) ).
fof(f509,definition,
( sQ68_spl
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ68_spl
| e0 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ69_spl
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ69_spl
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ43_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f146,f509,f512,f388]) ).
fof(f516,definition,
( sQ70_spl
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ70_spl
| e0 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f523,definition,
( sQ72_spl
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ72_spl
| e0 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ73_spl
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ73_spl
| e2 = op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ73_spl
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f150,f523,f526,f323]) ).
fof(f530,definition,
( sQ74_spl
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ74_spl
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f152,f516,f530,f447]) ).
fof(f534,definition,
( sQ75_spl
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ75_spl
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ22_spl
| ~ sQ75_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f154,f523,f534,f320]) ).
fof(f542,definition,
( sQ77_spl
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ77_spl
| e1 = op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ77_spl
| e1 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ78_spl
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( sQ78_spl
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ43_spl
| ~ sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f158,f542,f545,f388]) ).
fof(f549,definition,
( sQ79_spl
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ79_spl
| e1 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ80_spl
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ80_spl
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f556,definition,
( sQ81_spl
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( sQ81_spl
| e1 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ82_spl
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ82_spl
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ3_spl
| ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f162,f556,f559,f258]) ).
fof(f563,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f164,f549,f530,f444]) ).
fof(f564,definition,
( sQ83_spl
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ83_spl
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ2_spl
| ~ sQ83_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f166,f556,f564,f255]) ).
fof(f569,definition,
( sQ84_spl
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ84_spl
| e2 != op(op(e1,e1),e1) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,definition,
( sQ85_spl
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ85_spl
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ23_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f170,f569,f572,f323]) ).
fof(f576,definition,
( sQ86_spl
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ86_spl
| e2 != op(op(e3,e3),e3) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f172,f576,f552,f447]) ).
fof(f580,definition,
( sQ87_spl
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ87_spl
| e2 != op(op(e0,e0),e0) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ88_spl
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ88_spl
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ sQ3_spl
| ~ sQ88_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f174,f580,f583,f258]) ).
fof(f588,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f178,f580,f564,f252]) ).
fof(f589,plain,
( ~ sQ20_spl
| ~ sQ75_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f180,f569,f534,f314]) ).
fof(f590,definition,
( sQ89_spl
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f594,definition,
( sQ90_spl
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( sQ90_spl
| e3 != op(op(e2,e2),e2) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f602,plain,
( ~ sQ40_spl
| ~ sQ69_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f188,f594,f512,f379]) ).
fof(f604,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f192,f590,f526,f314]) ).
fof(f605,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ40_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f196,f489,f605,f379]) ).
fof(f609,plain,
( ~ sQ2_spl
| sQ92_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f489,f605,f255]) ).
fof(f610,plain,
( ~ sQ92_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f489,f605]) ).
fof(f612,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ41_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f203,f494,f612,f382]) ).
fof(f616,plain,
( ~ sQ22_spl
| sQ93_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f204,f494,f612,f320]) ).
fof(f619,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f210,f499,f619,f385]) ).
fof(f623,plain,
( ~ sQ42_spl
| sQ94_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f211,f499,f619,f385]) ).
fof(f626,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ43_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f217,f504,f626,f388]) ).
fof(f630,plain,
( ~ sQ62_spl
| sQ95_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f218,f504,f626,f450]) ).
fof(f632,plain,
( sQ62_spl
| ~ sQ43_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f220,f504,f388,f450]) ).
fof(f633,plain,
( sQ20_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f222,f605,f249,f314]) ).
fof(f634,plain,
( ~ sQ1_spl
| sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f223,f605,f249,f252]) ).
fof(f635,plain,
( sQ20_spl
| ~ sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f224,f605,f249,f314]) ).
fof(f636,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f225,f605,f249,f252]) ).
fof(f639,plain,
( sQ21_spl
| sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f229,f612,f252,f317]) ).
fof(f640,plain,
( ~ sQ21_spl
| sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f230,f612,f252,f317]) ).
fof(f641,plain,
( sQ21_spl
| ~ sQ20_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f231,f612,f314,f317]) ).
fof(f642,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f232,f612,f314,f317]) ).
fof(f645,plain,
( sQ22_spl
| sQ2_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f236,f619,f255,f320]) ).
fof(f651,plain,
( sQ23_spl
| sQ3_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f243,f626,f258,f323]) ).
fof(f653,plain,
( sQ23_spl
| ~ sQ60_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f245,f626,f444,f323]) ).
fof(f670,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f298,f104]) ).
fof(f673,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f123]) ).
fof(f675,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f95]) ).
fof(f677,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f441,f92]) ).
fof(f686,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f415,f80]) ).
fof(f687,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f402,f399]) ).
fof(f688,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f131]) ).
fof(f689,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f702,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f415,f412]) ).
fof(f703,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f131]) ).
fof(f704,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f396,f393]) ).
fof(f706,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f126]) ).
fof(f707,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f717,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f422,f419]) ).
fof(f718,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f126]) ).
fof(f719,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f723,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f337,f111]) ).
fof(f732,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f376,f87]) ).
fof(f734,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f363,f115]) ).
fof(f737,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f337,f334]) ).
fof(f738,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f131]) ).
fof(f739,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f743,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f376,f373]) ).
fof(f744,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f131]) ).
fof(f745,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f363,f360]) ).
fof(f747,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f131]) ).
fof(f748,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f747]) ).
fof(f749,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f331,f328]) ).
fof(f750,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f126]) ).
fof(f751,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f279,f276]) ).
fof(f753,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f126]) ).
fof(f754,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f771,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f266,f263]) ).
fof(f772,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f126]) ).
fof(f773,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f795,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f318,f321]) ).
fof(f796,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f129]) ).
fof(f797,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f250,f256]) ).
fof(f799,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f127]) ).
fof(f800,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f814,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f289,f104]) ).
fof(f815,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f289,f106]) ).
fof(f820,plain,
( ~ sQ42_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f386,f93]) ).
fof(f826,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f367,f114]) ).
fof(f839,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f363,f79]) ).
fof(f855,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f112]) ).
fof(f860,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f302,f108]) ).
fof(f862,plain,
( ~ sQ16_spl
| e0 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f302,f82]) ).
fof(f884,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f318,f111]) ).
fof(f885,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f454,f451]) ).
fof(f886,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f885,f131]) ).
fof(f887,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f886]) ).
fof(f893,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f814,f249,f288]) ).
fof(f894,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f815,f262,f288]) ).
fof(f907,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f862,f405,f301]) ).
fof(f917,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f673,f427,f440]) ).
fof(f919,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f675,f388,f440]) ).
fof(f925,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f820,f333,f385]) ).
fof(f935,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f445,f100]) ).
fof(f936,plain,
( ~ sQ60_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f445,f98]) ).
fof(f939,plain,
( sQ79_spl
| ~ sQ60_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f445,f551]) ).
fof(f943,plain,
( ~ sQ1_spl
| e1 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f253,f78]) ).
fof(f946,plain,
( sQ87_spl
| ~ sQ1_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f253,f582]) ).
fof(f949,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f253,f256]) ).
fof(f950,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f129]) ).
fof(f951,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f959,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f855,f314,f340]) ).
fof(f967,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f341,f110]) ).
fof(f971,plain,
( ~ sQ17_spl
| e1 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f305,f108]) ).
fof(f975,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f686,f258,f414]) ).
fof(f990,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f376,f89]) ).
fof(f992,plain,
( ~ sQ9_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f279,f107]) ).
fof(f1002,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f315,f528]) ).
fof(f1007,plain,
( ~ sQ62_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f451,f124]) ).
fof(f1009,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f250,f259]) ).
fof(f1010,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f128]) ).
fof(f1011,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1023,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f438,f92]) ).
fof(f1024,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f438,f125]) ).
fof(f1030,plain,
( sQ70_spl
| ~ sQ61_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f448,f518]) ).
fof(f1031,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f448,f98]) ).
fof(f1034,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f315,f321]) ).
fof(f1035,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f127]) ).
fof(f1036,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1035]) ).
fof(f1049,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f373,f118]) ).
fof(f1059,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f357,f115]) ).
fof(f1071,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f448,f454]) ).
fof(f1072,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1071,f130]) ).
fof(f1073,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1072]) ).
fof(f1075,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f826,f353,f366]) ).
fof(f1084,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f409,f122]) ).
fof(f1098,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f884,f330,f317]) ).
fof(f1108,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f269,f102]) ).
fof(f1109,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1023,f281,f437]) ).
fof(f1110,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1024,f450,f437]) ).
fof(f1115,plain,
( sQ87_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f946,f307,f252,f580]) ).
fof(f1116,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f259,f561]) ).
fof(f1117,plain,
( sQ87_spl
| ~ sQ3_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f259,f582]) ).
fof(f1120,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f259,f103]) ).
fof(f1124,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(op(e0,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f259,f585]) ).
fof(f1132,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f354,f116]) ).
fof(f1141,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f839,f258,f362]) ).
fof(f1144,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f354,f363]) ).
fof(f1145,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f128]) ).
fof(f1146,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f734,f388,f362]) ).
fof(f1155,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f344,f100]) ).
fof(f1158,plain,
( ~ sQ18_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f308,f82]) ).
fof(f1159,plain,
( ~ sQ56_spl
| op(e3,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f432,f121]) ).
fof(f1166,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f315,f111]) ).
fof(f1167,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(op(e1,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f315,f536]) ).
fof(f1172,plain,
( sQ84_spl
| ~ sQ20_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f315,f571]) ).
fof(f1174,plain,
( sQ73_spl
| ~ sQ20_spl
| e2 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f1002]) ).
fof(f1179,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f276,f107]) ).
fof(f1183,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f860,f314,f301]) ).
fof(f1193,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f432,f95]) ).
fof(f1194,plain,
( ~ sQ56_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f432,f125]) ).
fof(f1195,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f432,f92]) ).
fof(f1197,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1159,f405,f431]) ).
fof(f1198,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1120,f284,f258]) ).
fof(f1199,plain,
( sQ88_spl
| ~ sQ3_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f259,f1124]) ).
fof(f1200,plain,
( sQ82_spl
| ~ sQ3_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f259,f1116]) ).
fof(f1201,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f259,f102]) ).
fof(f1203,plain,
( sQ81_spl
| ~ sQ3_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f259,f558]) ).
fof(f1204,plain,
( ~ sQ3_spl
| e3 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f259,f78]) ).
fof(f1214,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f376,f118]) ).
fof(f1215,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f990,f427,f375]) ).
fof(f1224,plain,
( ~ sQ34_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f360,f83]) ).
fof(f1226,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f992,f291,f278]) ).
fof(f1240,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f971,f317,f304]) ).
fof(f1281,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f943,f304,f252]) ).
fof(f1284,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f259,f253]) ).
fof(f1285,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f130]) ).
fof(f1286,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1224,f411,f359]) ).
fof(f1289,plain,
( sQ84_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1172,f268,f314,f569]) ).
fof(f1296,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1174,f255,f314,f526]) ).
fof(f1304,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f347,f100]) ).
fof(f1341,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1108,f255,f268]) ).
fof(f1342,plain,
( ~ sQ43_spl
| op(e1,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f389,f93]) ).
fof(f1349,plain,
( sQ68_spl
| ~ sQ43_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f511]) ).
fof(f1358,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f670,f258,f297]) ).
fof(f1365,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1155,f447,f343]) ).
fof(f1373,plain,
( sQ68_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1349,f431,f388,f509]) ).
fof(f1387,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f389,f119]) ).
fof(f1418,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f295,f98]) ).
fof(f1427,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f311,f110]) ).
fof(f1440,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1194,f444,f431]) ).
fof(f1441,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1195,f275,f431]) ).
fof(f1443,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f967,f301,f340]) ).
fof(f1462,plain,
( sQ72_spl
| ~ sQ22_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f321,f525]) ).
fof(f1465,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f935,f340,f444]) ).
fof(f1471,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1387,f401,f388]) ).
fof(f1475,plain,
( sQ69_spl
| ~ sQ43_spl
| e1 != op(e3,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f389,f514]) ).
fof(f1476,plain,
( sQ69_spl
| ~ sQ43_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f389,f1475]) ).
fof(f1483,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e2,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f321,f536]) ).
fof(f1484,plain,
( sQ75_spl
| ~ sQ22_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f321,f1483]) ).
fof(f1485,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f389,f1484]) ).
fof(f1486,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1485]) ).
fof(f1487,plain,
( sQ75_spl
| ~ sQ22_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1491,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1418,f450,f294]) ).
fof(f1527,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1204,f310,f258]) ).
fof(f1557,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1132,f392,f353]) ).
fof(f1566,plain,
( sQ77_spl
| ~ sQ43_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f544]) ).
fof(f1583,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1427,f349,f310]) ).
fof(f1597,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f256,f103]) ).
fof(f1599,plain,
( sQ81_spl
| ~ sQ2_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f256,f558]) ).
fof(f1623,plain,
( sQ77_spl
| ~ sQ43_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1566,f434,f388,f542]) ).
fof(f1627,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f393,f101]) ).
fof(f1634,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(op(e0,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f253,f566]) ).
fof(f1635,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f253,f104]) ).
fof(f1637,plain,
( ~ sQ60_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f1627]) ).
fof(f1638,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1637]) ).
fof(f1639,plain,
( ~ sQ10_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f282,f105]) ).
fof(f1662,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1304,f450,f346]) ).
fof(f1663,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f1639]) ).
fof(f1664,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1665,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1179,f288,f275]) ).
fof(f1670,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f383,f119]) ).
fof(f1691,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1059,f382,f356]) ).
fof(f1711,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f383,f389]) ).
fof(f1712,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f130]) ).
fof(f1713,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1712]) ).
fof(f1748,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1084,f447,f408]) ).
fof(f1758,plain,
( sQ81_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1203,f408,f258,f556]) ).
fof(f1760,plain,
( sQ88_spl
| ~ sQ3_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1199,f447,f258,f583]) ).
fof(f1772,plain,
( ~ sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1201,f271,f258]) ).
fof(f1779,plain,
( ~ sQ62_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1007,f424,f450]) ).
fof(f1789,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f1790,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f129]) ).
fof(f1791,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1790]) ).
fof(f1805,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1214,f401,f375]) ).
fof(f1806,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f732,f323,f375]) ).
fof(f1813,plain,
( sQ90_spl
| ~ sQ40_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f380,f596]) ).
fof(f1850,plain,
( sQ87_spl
| ~ sQ3_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1117,f411,f258,f580]) ).
fof(f1852,plain,
( sQ69_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1476,f447,f388,f512]) ).
fof(f1856,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(op(e2,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f389,f547]) ).
fof(f1860,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1031,f291,f447]) ).
fof(f1862,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f448,f125]) ).
fof(f1882,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f448,f445]) ).
fof(f1883,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1882,f126]) ).
fof(f1884,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1883]) ).
fof(f1894,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1597,f281,f255]) ).
fof(f1895,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f259,f256]) ).
fof(f1896,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1895,f131]) ).
fof(f1897,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1896]) ).
fof(f1901,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f354,f81]) ).
fof(f1904,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e2 = op(e0,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f315,f527]) ).
fof(f1908,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e2 = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f1904]) ).
fof(f1920,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1049,f398,f372]) ).
fof(f1935,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1166,f327,f314]) ).
fof(f1942,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f1908,f79]) ).
fof(f1945,plain,
( sQ83_spl
| ~ sQ73_spl
| ~ sQ20_spl
| e3 != op(e2,op(e0,e0)) ),
inference(forward_demodulation,[status(thm)],[f1908,f566]) ).
fof(f1946,plain,
( sQ83_spl
| ~ sQ73_spl
| ~ sQ20_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1908,f1945]) ).
fof(f1954,plain,
( ~ sQ43_spl
| sQ83_spl
| ~ sQ73_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f1946]) ).
fof(f1955,plain,
( ~ sQ43_spl
| sQ83_spl
| ~ sQ73_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1954]) ).
fof(f1956,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1342,f336,f388]) ).
fof(f1968,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f435,f95]) ).
fof(f1983,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1901,f301,f353]) ).
fof(f1988,plain,
( ~ sQ77_spl
| ~ sQ43_spl
| e1 = op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f389,f543]) ).
fof(f1992,plain,
( sQ78_spl
| ~ sQ43_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f389,f1856]) ).
fof(f2004,plain,
( sQ74_spl
| ~ sQ60_spl
| e2 != op(op(e3,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f445,f532]) ).
fof(f2010,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1635,f291,f252]) ).
fof(f2011,plain,
( sQ83_spl
| ~ sQ1_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f253,f1634]) ).
fof(f2062,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1968,f382,f434]) ).
fof(f2067,plain,
( sQ90_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1813,f284,f379,f594]) ).
fof(f2072,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f445,f451]) ).
fof(f2073,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f127]) ).
fof(f2074,plain,
( ~ sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2078,plain,
( ~ sQ40_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f380,f93]) ).
fof(f2097,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f380,f119]) ).
fof(f2110,plain,
( sQ70_spl
| ~ sQ61_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1030,f340,f447,f516]) ).
fof(f2144,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f448,f578]) ).
fof(f2158,plain,
( sQ74_spl
| ~ sQ61_spl
| e2 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f532]) ).
fof(f2159,plain,
( sQ74_spl
| ~ sQ61_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f2158]) ).
fof(f2166,plain,
( ~ sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1988,f1862]) ).
fof(f2167,plain,
( ~ sQ77_spl
| ~ sQ43_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2178,plain,
( sQ81_spl
| ~ sQ73_spl
| ~ sQ20_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f1908,f558]) ).
fof(f2197,plain,
( sQ81_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1599,f356,f255,f556]) ).
fof(f2318,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2144,f346,f447,f576]) ).
fof(f2337,plain,
( sQ81_spl
| ~ sQ73_spl
| ~ sQ20_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2178,f356,f314,f526,f556]) ).
fof(f2353,plain,
( ~ sQ73_spl
| ~ sQ20_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1942,f359,f314,f526]) ).
fof(f2360,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(e1,op(e3,e3)) ),
inference(forward_demodulation,[status(thm)],[f448,f554]) ).
fof(f2361,plain,
( sQ80_spl
| ~ sQ61_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f448,f2360]) ).
fof(f2362,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f315,f2361]) ).
fof(f2363,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2362]) ).
fof(f2364,plain,
( sQ80_spl
| ~ sQ61_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2363]) ).
fof(f2368,plain,
( sQ83_spl
| ~ sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2011,f323,f252,f564]) ).
fof(f2390,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2078,f327,f379]) ).
fof(f2400,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2097,f392,f379]) ).
fof(f2412,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(op(e1,e1),e3) ),
inference(backward_demodulation,[status(thm)],[f324,f528]) ).
fof(f2414,plain,
( ~ sQ23_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f324,f108]) ).
fof(f2416,plain,
( ~ sQ23_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f324,f88]) ).
fof(f2418,plain,
( ~ sQ23_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f324,f84]) ).
fof(f2419,plain,
( sQ84_spl
| ~ sQ23_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f324,f571]) ).
fof(f2440,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f677,f284,f440]) ).
fof(f2449,plain,
( sQ73_spl
| ~ sQ23_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f324,f2412]) ).
fof(f2450,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2414,f310,f323]) ).
fof(f2451,plain,
( ~ sQ23_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2418,f271,f323]) ).
fof(f2452,plain,
( sQ84_spl
| ~ sQ23_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2419,f424,f323,f569]) ).
fof(f2456,plain,
( sQ74_spl
| ~ sQ60_spl
| e2 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f445,f2004]) ).
fof(f2460,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f936,f288,f444]) ).
fof(f2478,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f256,f104]) ).
fof(f2494,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1670,f395,f382]) ).
fof(f2534,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f324,f318]) ).
fof(f2535,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2534,f130]) ).
fof(f2536,plain,
( ~ sQ21_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2535]) ).
fof(f2558,plain,
( sQ74_spl
| ~ sQ61_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2159,f320,f447,f530]) ).
fof(f2631,plain,
( sQ75_spl
| ~ sQ20_spl
| e3 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f315,f1167]) ).
fof(f2632,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ3_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f259,f2631]) ).
fof(f2633,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2632]) ).
fof(f2634,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2660,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1193,f379,f431]) ).
fof(f2679,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f383,f380]) ).
fof(f2680,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2679,f126]) ).
fof(f2681,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2680]) ).
fof(f2682,plain,
( sQ72_spl
| ~ sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1462,f366,f320,f523]) ).
fof(f2683,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1992,f444,f388,f545]) ).
fof(f2687,plain,
( ~ sQ43_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f389,f91]) ).
fof(f2756,plain,
( sQ79_spl
| ~ sQ60_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f939,f291,f444,f549]) ).
fof(f2768,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2416,f427,f323]) ).
fof(f2783,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f298,f97]) ).
fof(f2804,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2687,f284,f388]) ).
fof(f2813,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f389,f380]) ).
fof(f2814,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2813,f128]) ).
fof(f2815,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2831,plain,
( sQ82_spl
| ~ sQ3_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1200,f450,f258,f559]) ).
fof(f2959,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f723,f323,f336]) ).
fof(f3000,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1158,f411,f307]) ).
fof(f3029,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f315,f324]) ).
fof(f3030,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3029,f128]) ).
fof(f3031,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3030]) ).
fof(f3032,plain,
( sQ73_spl
| ~ sQ23_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2449,f450,f323,f526]) ).
fof(f3061,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f253,f103]) ).
fof(f3146,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(e0,op(e2,e2)) ),
inference(forward_demodulation,[status(thm)],[f380,f514]) ).
fof(f3147,plain,
( sQ69_spl
| ~ sQ40_spl
| e1 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f380,f3146]) ).
fof(f3148,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ1_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f253,f3147]) ).
fof(f3149,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3148]) ).
fof(f3150,plain,
( sQ69_spl
| ~ sQ40_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3149]) ).
fof(f3153,plain,
( sQ85_spl
| ~ sQ23_spl
| e0 != op(e3,op(e1,e1)) ),
inference(forward_demodulation,[status(thm)],[f324,f574]) ).
fof(f3154,plain,
( sQ85_spl
| ~ sQ23_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f324,f3153]) ).
fof(f3199,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3061,f278,f252]) ).
fof(f3218,plain,
( ~ sQ15_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2783,f401,f297]) ).
fof(f3221,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f289,f298]) ).
fof(f3222,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3221,f128]) ).
fof(f3223,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3226,plain,
( sQ74_spl
| ~ sQ60_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2456,f255,f444,f530]) ).
fof(f3243,plain,
( sQ85_spl
| ~ sQ23_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3154,f444,f323,f572]) ).
fof(f3258,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2478,f294,f255]) ).
fof(f3292,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f321]) ).
fof(f3293,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3292,f131]) ).
fof(f3294,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3293]) ).
fof(f3295,plain,
$false,
inference(sat_refutation,[status(thm)],[f261,f287,f300,f313,f326,f339,f352,f365,f391,f404,f417,f430,f443,f459,f460,f462,f463,f464,f465,f466,f469,f470,f472,f473,f474,f476,f479,f480,f481,f482,f483,f487,f488,f492,f493,f497,f498,f502,f503,f507,f508,f515,f529,f533,f537,f548,f562,f563,f567,f575,f579,f586,f588,f589,f602,f604,f608,f609,f610,f615,f616,f622,f623,f629,f630,f632,f633,f634,f635,f636,f639,f640,f641,f642,f645,f651,f653,f689,f704,f707,f719,f739,f745,f748,f751,f754,f773,f797,f800,f887,f893,f894,f907,f917,f919,f925,f951,f959,f975,f1011,f1036,f1073,f1075,f1098,f1109,f1110,f1115,f1141,f1146,f1148,f1183,f1197,f1198,f1215,f1226,f1240,f1281,f1286,f1288,f1289,f1296,f1341,f1358,f1365,f1373,f1440,f1441,f1443,f1465,f1471,f1487,f1491,f1527,f1557,f1583,f1623,f1638,f1662,f1664,f1665,f1691,f1713,f1748,f1758,f1760,f1772,f1779,f1791,f1805,f1806,f1850,f1852,f1860,f1884,f1894,f1897,f1920,f1935,f1955,f1956,f1983,f2010,f2062,f2067,f2074,f2110,f2167,f2197,f2318,f2337,f2353,f2364,f2368,f2390,f2400,f2440,f2450,f2451,f2452,f2460,f2494,f2536,f2558,f2634,f2660,f2681,f2682,f2683,f2756,f2768,f2804,f2815,f2831,f2959,f3000,f3031,f3032,f3150,f3199,f3218,f3223,f3226,f3243,f3258,f3294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG139+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:57:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.49 % Refutation found
% 0.12/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.51 % Elapsed time: 0.145193 seconds
% 0.12/0.51 % CPU time: 0.967426 seconds
% 0.12/0.51 % Total memory used: 27.665 MB
% 0.12/0.51 % Net memory used: 27.252 MB
%------------------------------------------------------------------------------