%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG161+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 11:48:42 AM UTC 2026
% Result : Unsatisfiable 1.32s 0.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 189
% Syntax : Number of formulae : 1538 ( 55 unt; 160 def)
% Number of atoms : 5297 (2416 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6552 (2793 ~;2816 |; 749 &)
% ( 194 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 162 ( 160 usr; 161 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(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f77,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,definition,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f134,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| sP1_prd )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).
fof(f135,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f146,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f147,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f149,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f151,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f153,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f155,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f157,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f159,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f161,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f163,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f165,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f167,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f169,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f171,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f173,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f175,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f177,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f179,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f181,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f183,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f185,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f187,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f189,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f191,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f193,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,definition,
( sP2_prd
<=> ( ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f195,plain,
( sP0_prd
<=> ( ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f194]) ).
fof(f196,plain,
( ( ( ( op(e2,e2) != e3
| op(e3,e2) = e3
| op(e3,e3) != e2 )
& ~ sP2_prd )
| sP0_prd )
& ( ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| sP2_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( op(e3,e3) = e2
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( op(e3,e2) != e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f199,plain,
( op(e2,e2) = e3
| sP2_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f200,plain,
( ~ sP2_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f202,definition,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f203,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f133,f202]) ).
fof(f204,definition,
( sP4_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f205,plain,
( sP1_prd
<=> ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& sP4_prd )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f204]) ).
fof(f206,plain,
( ( ( ( ( op(e3,e3) != e2
& op(e3,e2) = e3 )
| ~ sP4_prd )
& ~ sP3_prd )
| sP1_prd )
& ( ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& sP4_prd )
| sP3_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( sP4_prd
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| sP3_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sP3_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f210,plain,
( op(e3,e2) = e3
| ~ sP4_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f212,definition,
( sP5_prd
<=> ( ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f213,plain,
( sP2_prd
<=> ( ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f194,f212]) ).
fof(f214,plain,
( ( ( ( op(e1,e1) != e3
| op(e3,e1) = e3
| op(e3,e3) != e1 )
& ~ sP5_prd )
| sP2_prd )
& ( ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| sP5_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( op(e3,e3) = e1
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( op(e3,e1) != e3
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
( op(e1,e1) = e3
| sP5_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f218,plain,
( ~ sP5_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f220,definition,
( sP6_prd
<=> ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f221,plain,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f220]) ).
fof(f222,definition,
( sP7_prd
<=> ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f223,plain,
( sP3_prd
<=> ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& sP7_prd )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f221,f222]) ).
fof(f224,plain,
( ( ( ( ( op(e3,e3) != e1
& op(e3,e1) = e3 )
| ~ sP7_prd )
& ~ sP6_prd )
| sP3_prd )
& ( ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& sP7_prd )
| sP6_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( sP7_prd
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sP6_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f228,plain,
( op(e3,e1) = e3
| ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f229,plain,
( op(e3,e3) != e1
| ~ sP7_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f230,definition,
( sP8_prd
<=> ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f231,plain,
( sP4_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f204,f230]) ).
fof(f232,plain,
( ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP8_prd
| sP4_prd )
& ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP8_prd )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( sP8_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f235,plain,
( op(e2,e2) = e2
| ~ sP8_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f237,definition,
( sP9_prd
<=> ( ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f238,plain,
( sP5_prd
<=> ( ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f212,f237]) ).
fof(f239,plain,
( ( ( ( op(e0,e0) != e3
| op(e3,e0) = e3
| op(e3,e3) != e0 )
& ~ sP9_prd )
| sP5_prd )
& ( ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| sP9_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e3,e3) = e0
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( op(e3,e0) != e3
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f242,plain,
( op(e0,e0) = e3
| sP9_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f243,plain,
( ~ sP9_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f245,definition,
( sP10_prd
<=> ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f246,plain,
( sP6_prd
<=> ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f220,f245]) ).
fof(f247,plain,
( ( ( op(e3,e3) != e0
& op(e3,e0) = e3 )
| ~ sP10_prd
| sP6_prd )
& ( ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& sP10_prd )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( sP10_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op(e3,e0) = e3
| ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f251,plain,
( op(e3,e3) != e0
| ~ sP10_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f252,definition,
( sP11_prd
<=> ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f253,plain,
( sP7_prd
<=> ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f222,f252]) ).
fof(f254,plain,
( ( ( op(e2,e2) != e1
& op(e2,e1) = e2 )
| ~ sP11_prd
| sP7_prd )
& ( ( ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& sP11_prd )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f257,plain,
( op(e2,e1) = e2
| ~ sP11_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f259,definition,
( sP12_prd
<=> ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f260,plain,
( sP8_prd
<=> ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f230,f259]) ).
fof(f261,plain,
( ( ( op(e1,e1) != e2
& op(e1,e2) = e1 )
| ~ sP12_prd
| sP8_prd )
& ( ( ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& sP12_prd )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( sP12_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f264,plain,
( op(e1,e2) = e1
| ~ sP12_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f265,plain,
( op(e1,e1) != e2
| ~ sP12_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f266,definition,
( sP13_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f267,plain,
( sP9_prd
<=> ( ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f237,f266]) ).
fof(f268,plain,
( ( ( ( op(e3,e3) != e2
| op(e2,e3) = e2
| op(e2,e2) != e3 )
& ~ sP13_prd )
| sP9_prd )
& ( ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| sP13_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( op(e2,e2) = e3
| sP13_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( op(e2,e3) != e2
| sP13_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f271,plain,
( op(e3,e3) = e2
| sP13_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f272,plain,
( ~ sP13_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f273,plain,
( op(e3,e3) != e2
| op(e2,e3) = e2
| op(e2,e2) != e3
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f274,definition,
( sP14_prd
<=> ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f275,plain,
( sP10_prd
<=> ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f245,f274]) ).
fof(f276,plain,
( ( ( op(e2,e2) != e0
& op(e2,e0) = e2 )
| ~ sP14_prd
| sP10_prd )
& ( ( ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& sP14_prd )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
( sP14_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f278,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f279,plain,
( op(e2,e0) = e2
| ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f280,plain,
( op(e2,e2) != e0
| ~ sP14_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f281,definition,
( sP15_prd
<=> ( ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f282,plain,
( sP11_prd
<=> ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f281]) ).
fof(f283,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ~ sP15_prd
| sP11_prd )
& ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& sP15_prd )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( sP15_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f286,plain,
( op(e1,e1) = e1
| ~ sP15_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f287,plain,
( op(e1,e1) != e1
| ~ sP15_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f288,definition,
( sP16_prd
<=> ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f289,plain,
( sP12_prd
<=> ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f259,f288]) ).
fof(f290,plain,
( ( ( op(e0,e0) != e2
& op(e0,e2) = e0 )
| ~ sP16_prd
| sP12_prd )
& ( ( ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& sP16_prd )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( sP16_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f292,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f293,plain,
( op(e0,e2) = e0
| ~ sP16_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f294,plain,
( op(e0,e0) != e2
| ~ sP16_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f295,definition,
( sP17_prd
<=> ( ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f296,plain,
( sP13_prd
<=> ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f266,f295]) ).
fof(f297,plain,
( ( ( ( op(e2,e2) != e2
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP17_prd )
| sP13_prd )
& ( ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP17_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( op(e2,e2) = e2
| sP17_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f299,plain,
( op(e2,e2) != e2
| sP17_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f301,plain,
( ~ sP17_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f303,definition,
( sP18_prd
<=> ( ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f304,plain,
( sP14_prd
<=> ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f274,f303]) ).
fof(f305,plain,
( ( ( op(e1,e1) != e0
& op(e1,e0) = e1 )
| ~ sP18_prd
| sP14_prd )
& ( ( ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& sP18_prd )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,plain,
( op(e1,e0) = e1
| ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,plain,
( op(e1,e1) != e0
| ~ sP18_prd
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f310,definition,
( sP19_prd
<=> ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f311,plain,
( sP15_prd
<=> ( ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f281,f310]) ).
fof(f312,plain,
( ( ( op(e0,e0) != e1
& op(e0,e1) = e0 )
| ~ sP19_prd
| sP15_prd )
& ( ( ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& sP19_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
( sP19_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f314,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f315,plain,
( op(e0,e1) = e0
| ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f316,plain,
( op(e0,e0) != e1
| ~ sP19_prd
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f317,definition,
( sP20_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f318,plain,
( sP16_prd
<=> ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f288,f317]) ).
fof(f319,plain,
( ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ~ sP20_prd
| sP16_prd )
& ( ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& sP20_prd )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
( sP20_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f322,plain,
( op(e3,e3) = e2
| ~ sP20_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f323,plain,
( op(e3,e2) != e3
| ~ sP20_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f324,definition,
( sP21_prd
<=> ( ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f325,plain,
( sP17_prd
<=> ( ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f295,f324]) ).
fof(f326,plain,
( ( ( ( op(e1,e1) != e2
| op(e2,e1) = e2
| op(e2,e2) != e1 )
& ~ sP21_prd )
| sP17_prd )
& ( ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| sP21_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e2,e2) = e1
| sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e2,e1) != e2
| sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e1,e1) = e2
| sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( ~ sP21_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( op(e1,e1) != e2
| op(e2,e1) = e2
| op(e2,e2) != e1
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f332,definition,
( sP22_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f333,plain,
( sP18_prd
<=> ( ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f303,f332]) ).
fof(f334,plain,
( ( ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP22_prd
| sP18_prd )
& ( ( ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& sP22_prd )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f337,plain,
( op(e0,e0) = e0
| ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f338,plain,
( op(e0,e0) != e0
| ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f339,definition,
( sP23_prd
<=> ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f340,plain,
( sP19_prd
<=> ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f310,f339]) ).
fof(f341,plain,
( ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ~ sP23_prd
| sP19_prd )
& ( ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& sP23_prd )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f344,plain,
( op(e3,e3) = e1
| ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f345,plain,
( op(e3,e1) != e3
| ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f346,definition,
( sP24_prd
<=> ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f347,plain,
( sP20_prd
<=> ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f317,f346]) ).
fof(f348,plain,
( ( ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ~ sP24_prd
| sP20_prd )
& ( ( ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& sP24_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( sP24_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f351,plain,
( op(e2,e2) = e2
| ~ sP24_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f352,plain,
( op(e2,e2) != e2
| ~ sP24_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f353,definition,
( sP25_prd
<=> ( ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f354,plain,
( sP21_prd
<=> ( ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f353]) ).
fof(f355,plain,
( ( ( ( op(e0,e0) != e2
| op(e2,e0) = e2
| op(e2,e2) != e0 )
& ~ sP25_prd )
| sP21_prd )
& ( ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| sP25_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op(e2,e2) = e0
| sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( op(e2,e0) != e2
| sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f358,plain,
( op(e0,e0) = e2
| sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f359,plain,
( ~ sP25_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f361,definition,
( sP26_prd
<=> ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f362,plain,
( sP22_prd
<=> ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f332,f361]) ).
fof(f363,plain,
( ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ~ sP26_prd
| sP22_prd )
& ( ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& sP26_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f362]) ).
fof(f364,plain,
( sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f366,plain,
( op(e3,e3) = e0
| ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f367,plain,
( op(e3,e0) != e3
| ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f368,definition,
( sP27_prd
<=> ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f369,plain,
( sP23_prd
<=> ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f339,f368]) ).
fof(f370,plain,
( ( ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ~ sP27_prd
| sP23_prd )
& ( ( ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& sP27_prd )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f369]) ).
fof(f371,plain,
( sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f373,plain,
( op(e2,e2) = e1
| ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f374,plain,
( op(e2,e1) != e2
| ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f375,plain,
( ( ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP24_prd )
& ( ( ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f376,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f378,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f379,plain,
( op(e1,e2) != e1
| op(e0,e0) = e2
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f380,plain,
( op(e1,e1) = e2
| op(e0,e2) != e0
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f381,plain,
( op(e1,e2) != e1
| op(e0,e2) != e0
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f382,definition,
( sP28_prd
<=> ( ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f383,plain,
( sP25_prd
<=> ( ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f353,f382]) ).
fof(f384,plain,
( ( ( ( op(e3,e3) != e1
| op(e1,e3) = e1
| op(e1,e1) != e3 )
& ~ sP28_prd )
| sP25_prd )
& ( ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| sP28_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
( op(e1,e1) = e3
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
( op(e1,e3) != e1
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
( op(e3,e3) = e1
| sP28_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
( ~ sP28_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,plain,
( op(e3,e3) != e1
| op(e1,e3) = e1
| op(e1,e1) != e3
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,definition,
( sP29_prd
<=> ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f391,plain,
( sP26_prd
<=> ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f361,f390]) ).
fof(f392,plain,
( ( ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ~ sP29_prd
| sP26_prd )
& ( ( ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& sP29_prd )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f393,plain,
( sP29_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f395,plain,
( op(e2,e2) = e0
| ~ sP29_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( op(e2,e0) != e2
| ~ sP29_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( ( ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP27_prd )
& ( ( ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f368]) ).
fof(f398,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f400,plain,
( op(e1,e1) = e1
| op(e0,e0) = e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f401,plain,
( op(e1,e1) != e1
| op(e0,e0) = e1
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f402,plain,
( op(e1,e1) = e1
| op(e0,e1) != e0
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f404,definition,
( sP30_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f405,plain,
( sP28_prd
<=> ( ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f404]) ).
fof(f406,plain,
( ( ( ( op(e2,e2) != e1
| op(e1,e2) = e1
| op(e1,e1) != e2 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op(e1,e1) = e2
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f408,plain,
( op(e1,e2) != e1
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f409,plain,
( op(e2,e2) = e1
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f410,plain,
( ~ sP30_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f411,plain,
( op(e2,e2) != e1
| op(e1,e2) = e1
| op(e1,e1) != e2
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f412,plain,
( ( ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 )
| sP29_prd )
& ( ( ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f390]) ).
fof(f414,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f415,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
( op(e1,e0) != e1
| op(e0,e0) = e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f417,plain,
( op(e1,e1) = e0
| op(e0,e0) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,plain,
( op(e1,e0) != e1
| op(e0,e0) != e0
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f419,definition,
( sP31_prd
<=> ( ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f420,plain,
( sP30_prd
<=> ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f404,f419]) ).
fof(f421,plain,
( ( ( ( op(e1,e1) != e1
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP31_prd )
| sP30_prd )
& ( ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP31_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f420]) ).
fof(f422,plain,
( op(e1,e1) = e1
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f421]) ).
fof(f423,plain,
( op(e1,e1) != e1
| sP31_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f421]) ).
fof(f425,plain,
( ~ sP31_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f421]) ).
fof(f427,definition,
( sP32_prd
<=> ( ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f428,plain,
( sP31_prd
<=> ( ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f419,f427]) ).
fof(f429,plain,
( ( ( ( op(e0,e0) != e1
| op(e1,e0) = e1
| op(e1,e1) != e0 )
& ~ sP32_prd )
| sP31_prd )
& ( ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| sP32_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f428]) ).
fof(f430,plain,
( op(e1,e1) = e0
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f431,plain,
( op(e1,e0) != e1
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f432,plain,
( op(e0,e0) = e1
| sP32_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f433,plain,
( ~ sP32_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f434,plain,
( op(e0,e0) != e1
| op(e1,e0) = e1
| op(e1,e1) != e0
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f435,definition,
( sP33_prd
<=> ( ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f436,plain,
( sP32_prd
<=> ( ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f427,f435]) ).
fof(f437,plain,
( ( ( ( op(e3,e3) != e0
| op(e0,e3) = e0
| op(e0,e0) != e3 )
& ~ sP33_prd )
| sP32_prd )
& ( ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| sP33_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
( op(e0,e0) = e3
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
( op(e0,e3) != e0
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
( op(e3,e3) = e0
| sP33_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
( ~ sP33_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
( op(e3,e3) != e0
| op(e0,e3) = e0
| op(e0,e0) != e3
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f443,definition,
( sP34_prd
<=> ( ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f444,plain,
( sP33_prd
<=> ( ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f435,f443]) ).
fof(f445,plain,
( ( ( ( op(e2,e2) != e0
| op(e0,e2) = e0
| op(e0,e0) != e2 )
& ~ sP34_prd )
| sP33_prd )
& ( ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| sP34_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f446,plain,
( op(e0,e0) = e2
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f447,plain,
( op(e0,e2) != e0
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f448,plain,
( op(e2,e2) = e0
| sP34_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f449,plain,
( ~ sP34_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f450,plain,
( op(e2,e2) != e0
| op(e0,e2) = e0
| op(e0,e0) != e2
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f451,definition,
( sP35_prd
<=> ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f452,plain,
( sP34_prd
<=> ( ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f443,f451]) ).
fof(f453,plain,
( ( ( ( op(e1,e1) != e0
| op(e0,e1) = e0
| op(e0,e0) != e1 )
& ~ sP35_prd )
| sP34_prd )
& ( ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| sP35_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( op(e0,e0) = e1
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f455,plain,
( op(e0,e1) != e0
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f456,plain,
( op(e1,e1) = e0
| sP35_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f457,plain,
( ~ sP35_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f458,plain,
( op(e1,e1) != e0
| op(e0,e1) = e0
| op(e0,e0) != e1
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f459,plain,
( ( op(e0,e0) != e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP35_prd )
& ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f451]) ).
fof(f460,plain,
( op(e0,e0) = e0
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op(e0,e0) != e0
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f464,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f464,f467,f470,f473]) ).
fof(f477,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f477,f480,f483,f486]) ).
fof(f490,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f490,f493,f496,f499]) ).
fof(f503,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f503,f506,f509,f512]) ).
fof(f516,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f516,f519,f522,f525]) ).
fof(f529,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f529,f532,f535,f538]) ).
fof(f542,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f542,f545,f548,f551]) ).
fof(f555,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f555,f558,f561,f564]) ).
fof(f568,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f568,f571,f574,f577]) ).
fof(f581,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f581,f584,f587,f590]) ).
fof(f594,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f594,f597,f600,f603]) ).
fof(f607,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f607,f610,f613,f616]) ).
fof(f620,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f620,f623,f626,f629]) ).
fof(f633,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f633,f636,f639,f642]) ).
fof(f646,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f646,f649,f652,f655]) ).
fof(f659,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f659,f662,f665,f668]) ).
fof(f672,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f464,f477,f490,f503]) ).
fof(f673,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f464,f516,f568,f620]) ).
fof(f674,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f467,f480,f493,f506]) ).
fof(f675,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f467,f519,f571,f623]) ).
fof(f676,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f470,f483,f496,f509]) ).
fof(f677,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f470,f522,f574,f626]) ).
fof(f678,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f473,f486,f499,f512]) ).
fof(f679,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f473,f525,f577,f629]) ).
fof(f680,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f516,f529,f542,f555]) ).
fof(f681,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f477,f529,f581,f633]) ).
fof(f682,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f519,f532,f545,f558]) ).
fof(f683,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f480,f532,f584,f636]) ).
fof(f684,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f522,f535,f548,f561]) ).
fof(f685,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f483,f535,f587,f639]) ).
fof(f686,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f525,f538,f551,f564]) ).
fof(f687,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f486,f538,f590,f642]) ).
fof(f688,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f568,f581,f594,f607]) ).
fof(f689,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f490,f542,f594,f646]) ).
fof(f690,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f571,f584,f597,f610]) ).
fof(f691,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f493,f545,f597,f649]) ).
fof(f692,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f574,f587,f600,f613]) ).
fof(f693,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f496,f548,f600,f652]) ).
fof(f694,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f577,f590,f603,f616]) ).
fof(f695,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f499,f551,f603,f655]) ).
fof(f696,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f620,f633,f646,f659]) ).
fof(f697,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f503,f555,f607,f659]) ).
fof(f698,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f623,f636,f649,f662]) ).
fof(f699,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f506,f558,f610,f662]) ).
fof(f700,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f626,f639,f652,f665]) ).
fof(f701,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f509,f561,f613,f665]) ).
fof(f702,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f629,f642,f655,f668]) ).
fof(f703,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f512,f564,f616,f668]) ).
fof(f704,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f704,f668]) ).
fof(f708,plain,
( ~ sQ63_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f136,f704,f668]) ).
fof(f710,definition,
( sQ65_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f138,f710,f473,f503]) ).
fof(f714,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f139,f710,f538,f558]) ).
fof(f715,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f140,f710,f603,f613]) ).
fof(f717,plain,
( sQ3_spl
| ~ sQ12_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f142,f710,f503,f473]) ).
fof(f718,plain,
( sQ23_spl
| ~ sQ29_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f710,f558,f538]) ).
fof(f719,plain,
( sQ43_spl
| ~ sQ46_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f144,f710,f613,f603]) ).
fof(f721,definition,
( sQ66_spl
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( sQ66_spl
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ67_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ67_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f147,f467,f721,f724]) ).
fof(f728,definition,
( sQ68_spl
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ68_spl
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ69_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( sQ69_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f149,f467,f728,f731]) ).
fof(f735,definition,
( sQ70_spl
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( sQ70_spl
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ67_spl
| ~ sQ70_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f151,f470,f735,f724]) ).
fof(f739,definition,
( sQ71_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( sQ71_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f153,f470,f728,f739]) ).
fof(f743,plain,
( ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f155,f473,f735,f731]) ).
fof(f744,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f157,f473,f721,f739]) ).
fof(f745,definition,
( sQ72_spl
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( sQ72_spl
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ73_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( sQ73_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f159,f529,f745,f748]) ).
fof(f752,definition,
( sQ74_spl
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ74_spl
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ75_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( sQ75_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f161,f529,f752,f755]) ).
fof(f759,definition,
( sQ76_spl
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( sQ76_spl
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f163,f535,f759,f748]) ).
fof(f763,definition,
( sQ77_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ77_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,plain,
( ~ sQ77_spl
| ~ sQ74_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f165,f535,f752,f763]) ).
fof(f767,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f167,f538,f759,f755]) ).
fof(f768,plain,
( ~ sQ77_spl
| ~ sQ72_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f169,f538,f745,f763]) ).
fof(f769,definition,
( sQ78_spl
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( sQ78_spl
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ79_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( sQ79_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f171,f594,f769,f772]) ).
fof(f776,definition,
( sQ80_spl
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ80_spl
| e3 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ81_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( sQ81_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f173,f594,f776,f779]) ).
fof(f783,definition,
( sQ82_spl
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ82_spl
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ sQ79_spl
| ~ sQ82_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f175,f597,f783,f772]) ).
fof(f787,definition,
( sQ83_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( sQ83_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ sQ83_spl
| ~ sQ80_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f177,f597,f776,f787]) ).
fof(f791,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f179,f603,f783,f779]) ).
fof(f792,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f181,f603,f769,f787]) ).
fof(f793,definition,
( sQ84_spl
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ84_spl
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ85_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ85_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f183,f659,f793,f796]) ).
fof(f800,definition,
( sQ86_spl
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ86_spl
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ87_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( sQ87_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f185,f659,f800,f803]) ).
fof(f807,definition,
( sQ88_spl
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ88_spl
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( ~ sQ85_spl
| ~ sQ88_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f187,f662,f807,f796]) ).
fof(f811,definition,
( sQ89_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( sQ89_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( ~ sQ89_spl
| ~ sQ86_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f189,f662,f800,f811]) ).
fof(f815,plain,
( ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f191,f665,f807,f803]) ).
fof(f816,plain,
( ~ sQ89_spl
| ~ sQ84_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f193,f665,f793,f811]) ).
fof(f817,definition,
( sQ90_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( sQ62_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f197,f704,f817,f665]) ).
fof(f821,plain,
( ~ sQ59_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f198,f704,f817,f655]) ).
fof(f822,plain,
( sQ43_spl
| sQ90_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f199,f704,f817,f603]) ).
fof(f823,plain,
( ~ sQ90_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f704,f817]) ).
fof(f825,definition,
( sQ91_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f828,definition,
( sQ92_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ92_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f207,f710,f825,f828]) ).
fof(f832,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ91_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f208,f710,f825,f655,f665]) ).
fof(f833,plain,
( ~ sQ91_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f209,f710,f825]) ).
fof(f834,plain,
( sQ59_spl
| ~ sQ92_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f210,f710,f828,f655]) ).
fof(f836,definition,
( sQ93_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ61_spl
| sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f215,f817,f836,f662]) ).
fof(f840,plain,
( ~ sQ55_spl
| sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f216,f817,f836,f642]) ).
fof(f841,plain,
( sQ23_spl
| sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f217,f817,f836,f538]) ).
fof(f842,plain,
( ~ sQ93_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f218,f817,f836]) ).
fof(f844,definition,
( sQ94_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f847,definition,
( sQ95_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( sQ95_spl
| sQ94_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f225,f825,f844,f847]) ).
fof(f851,plain,
( sQ61_spl
| ~ sQ55_spl
| sQ94_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f226,f825,f844,f642,f662]) ).
fof(f852,plain,
( ~ sQ94_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f227,f825,f844]) ).
fof(f853,plain,
( sQ55_spl
| ~ sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f228,f825,f847,f642]) ).
fof(f854,plain,
( ~ sQ61_spl
| ~ sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f229,f825,f847,f662]) ).
fof(f855,definition,
( sQ96_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ96_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f233,f828,f855]) ).
fof(f860,plain,
( sQ42_spl
| ~ sQ96_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f235,f828,f855,f600]) ).
fof(f862,definition,
( sQ97_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( sQ60_spl
| sQ97_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f240,f836,f862,f659]) ).
fof(f866,plain,
( ~ sQ51_spl
| sQ97_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f241,f836,f862,f629]) ).
fof(f867,plain,
( sQ3_spl
| sQ97_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f242,f836,f862,f473]) ).
fof(f868,plain,
( ~ sQ97_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f243,f836,f862]) ).
fof(f870,definition,
( sQ98_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( sQ98_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f248,f844,f870]) ).
fof(f874,plain,
( sQ60_spl
| ~ sQ51_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f249,f844,f629,f659]) ).
fof(f875,plain,
( sQ51_spl
| ~ sQ98_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f250,f844,f870,f629]) ).
fof(f876,plain,
( ~ sQ60_spl
| ~ sQ98_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f251,f844,f870,f659]) ).
fof(f877,definition,
( sQ99_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f255,f847,f877]) ).
fof(f881,plain,
( sQ41_spl
| ~ sQ38_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f256,f847,f587,f597]) ).
fof(f882,plain,
( sQ38_spl
| ~ sQ99_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f257,f847,f877,f587]) ).
fof(f884,definition,
( sQ100_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( sQ100_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f262,f855,f884]) ).
fof(f888,plain,
( sQ22_spl
| ~ sQ25_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f263,f855,f545,f535]) ).
fof(f889,plain,
( sQ25_spl
| ~ sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f264,f855,f884,f545]) ).
fof(f890,plain,
( ~ sQ22_spl
| ~ sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f265,f855,f884,f535]) ).
fof(f891,definition,
( sQ101_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( sQ43_spl
| sQ101_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f269,f862,f891,f603]) ).
fof(f895,plain,
( ~ sQ46_spl
| sQ101_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f270,f862,f891,f613]) ).
fof(f896,plain,
( sQ62_spl
| sQ101_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f271,f862,f891,f665]) ).
fof(f897,plain,
( ~ sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f272,f862,f891]) ).
fof(f898,plain,
( ~ sQ62_spl
| sQ46_spl
| ~ sQ43_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f273,f862,f603,f613,f665]) ).
fof(f899,definition,
( sQ102_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f277,f870,f899]) ).
fof(f903,plain,
( sQ40_spl
| ~ sQ34_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f278,f870,f574,f594]) ).
fof(f904,plain,
( sQ34_spl
| ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f279,f870,f899,f574]) ).
fof(f905,plain,
( ~ sQ40_spl
| ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f280,f870,f899,f594]) ).
fof(f906,definition,
( sQ103_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( sQ103_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f284,f877,f906]) ).
fof(f911,plain,
( sQ21_spl
| ~ sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f286,f877,f906,f532]) ).
fof(f912,plain,
( ~ sQ21_spl
| ~ sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f287,f877,f906,f532]) ).
fof(f913,definition,
( sQ104_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( sQ104_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f291,f884,f913]) ).
fof(f917,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f292,f884,f490,f470]) ).
fof(f918,plain,
( sQ8_spl
| ~ sQ104_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f293,f884,f913,f490]) ).
fof(f919,plain,
( ~ sQ2_spl
| ~ sQ104_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f294,f884,f913,f470]) ).
fof(f920,definition,
( sQ105_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( sQ42_spl
| sQ105_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f298,f891,f920,f600]) ).
fof(f924,plain,
( ~ sQ42_spl
| sQ105_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f299,f891,f920,f600]) ).
fof(f926,plain,
( ~ sQ105_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f301,f891,f920]) ).
fof(f928,definition,
( sQ106_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f306,f899,f928]) ).
fof(f932,plain,
( sQ20_spl
| ~ sQ17_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f307,f899,f519,f529]) ).
fof(f933,plain,
( sQ17_spl
| ~ sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f308,f899,f928,f519]) ).
fof(f934,plain,
( ~ sQ20_spl
| ~ sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f309,f899,f928,f529]) ).
fof(f935,definition,
( sQ107_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f313,f906,f935]) ).
fof(f939,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f314,f906,f477,f467]) ).
fof(f940,plain,
( sQ4_spl
| ~ sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f315,f906,f935,f477]) ).
fof(f941,plain,
( ~ sQ1_spl
| ~ sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f316,f906,f935,f467]) ).
fof(f942,definition,
( sQ108_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( sQ108_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f320,f913,f942]) ).
fof(f946,plain,
( sQ59_spl
| ~ sQ62_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f321,f913,f665,f655]) ).
fof(f947,plain,
( sQ62_spl
| ~ sQ108_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f322,f913,f942,f665]) ).
fof(f948,plain,
( ~ sQ59_spl
| ~ sQ108_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f323,f913,f942,f655]) ).
fof(f949,definition,
( sQ109_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ41_spl
| sQ109_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f327,f920,f949,f597]) ).
fof(f953,plain,
( ~ sQ38_spl
| sQ109_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f328,f920,f949,f587]) ).
fof(f954,plain,
( sQ22_spl
| sQ109_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f329,f920,f949,f535]) ).
fof(f955,plain,
( ~ sQ109_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f330,f920,f949]) ).
fof(f956,plain,
( ~ sQ22_spl
| sQ38_spl
| ~ sQ41_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f331,f920,f597,f587,f535]) ).
fof(f957,definition,
( sQ110_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f335,f928,f957]) ).
fof(f962,plain,
( sQ0_spl
| ~ sQ110_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f337,f928,f957,f464]) ).
fof(f963,plain,
( ~ sQ0_spl
| ~ sQ110_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f338,f928,f957,f464]) ).
fof(f964,definition,
( sQ111_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f342,f935,f964]) ).
fof(f968,plain,
( sQ55_spl
| ~ sQ61_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f343,f935,f662,f642]) ).
fof(f969,plain,
( sQ61_spl
| ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f344,f935,f964,f662]) ).
fof(f970,plain,
( ~ sQ55_spl
| ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f345,f935,f964,f642]) ).
fof(f971,definition,
( sQ112_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ112_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f349,f942,f971]) ).
fof(f976,plain,
( sQ42_spl
| ~ sQ112_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f351,f942,f971,f600]) ).
fof(f977,plain,
( ~ sQ42_spl
| ~ sQ112_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f352,f942,f971,f600]) ).
fof(f978,definition,
( sQ113_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( sQ40_spl
| sQ113_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f356,f949,f978,f594]) ).
fof(f982,plain,
( ~ sQ34_spl
| sQ113_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f357,f949,f978,f574]) ).
fof(f983,plain,
( sQ2_spl
| sQ113_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f358,f949,f978,f470]) ).
fof(f984,plain,
( ~ sQ113_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f359,f949,f978]) ).
fof(f986,definition,
( sQ114_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( sQ114_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f364,f957,f986]) ).
fof(f990,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f365,f957,f659,f629]) ).
fof(f991,plain,
( sQ60_spl
| ~ sQ114_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f366,f957,f986,f659]) ).
fof(f992,plain,
( ~ sQ51_spl
| ~ sQ114_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f367,f957,f986,f629]) ).
fof(f993,definition,
( sQ115_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f371,f964,f993]) ).
fof(f997,plain,
( sQ38_spl
| ~ sQ41_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f372,f964,f597,f587]) ).
fof(f998,plain,
( sQ41_spl
| ~ sQ115_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f373,f964,f993,f597]) ).
fof(f999,plain,
( ~ sQ38_spl
| ~ sQ115_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f374,f964,f993,f587]) ).
fof(f1000,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f376,f971,f470,f490]) ).
fof(f1001,plain,
( sQ25_spl
| ~ sQ22_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f377,f971,f535,f545]) ).
fof(f1002,plain,
( sQ22_spl
| sQ2_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f378,f971,f470,f535]) ).
fof(f1003,plain,
( ~ sQ25_spl
| sQ2_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f379,f971,f470,f545]) ).
fof(f1004,plain,
( sQ22_spl
| ~ sQ8_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f380,f971,f490,f535]) ).
fof(f1005,plain,
( ~ sQ25_spl
| ~ sQ8_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f381,f971,f490,f545]) ).
fof(f1006,definition,
( sQ116_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ23_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f385,f978,f1006,f538]) ).
fof(f1010,plain,
( ~ sQ29_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f386,f978,f1006,f558]) ).
fof(f1011,plain,
( sQ61_spl
| sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f387,f978,f1006,f662]) ).
fof(f1012,plain,
( ~ sQ116_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f388,f978,f1006]) ).
fof(f1013,plain,
( ~ sQ61_spl
| sQ29_spl
| ~ sQ23_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f389,f978,f538,f558,f662]) ).
fof(f1014,definition,
( sQ117_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( sQ117_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f393,f986,f1014]) ).
fof(f1018,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f394,f986,f594,f574]) ).
fof(f1019,plain,
( sQ40_spl
| ~ sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f395,f986,f1014,f594]) ).
fof(f1020,plain,
( ~ sQ34_spl
| ~ sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f396,f986,f1014,f574]) ).
fof(f1021,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f398,f993,f467,f477]) ).
fof(f1023,plain,
( sQ21_spl
| sQ1_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f400,f993,f467,f532]) ).
fof(f1024,plain,
( ~ sQ21_spl
| sQ1_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f401,f993,f467,f532]) ).
fof(f1025,plain,
( sQ21_spl
| ~ sQ4_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f402,f993,f477,f532]) ).
fof(f1027,definition,
( sQ118_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( sQ22_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f407,f1006,f1027,f535]) ).
fof(f1031,plain,
( ~ sQ25_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f408,f1006,f1027,f545]) ).
fof(f1032,plain,
( sQ41_spl
| sQ118_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f409,f1006,f1027,f597]) ).
fof(f1033,plain,
( ~ sQ118_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f410,f1006,f1027]) ).
fof(f1034,plain,
( ~ sQ41_spl
| sQ25_spl
| ~ sQ22_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f411,f1006,f535,f545,f597]) ).
fof(f1036,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f414,f1014,f529,f519]) ).
fof(f1037,plain,
( sQ20_spl
| sQ0_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f415,f1014,f464,f529]) ).
fof(f1038,plain,
( ~ sQ17_spl
| sQ0_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f416,f1014,f464,f519]) ).
fof(f1039,plain,
( sQ20_spl
| ~ sQ0_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f417,f1014,f464,f529]) ).
fof(f1040,plain,
( ~ sQ17_spl
| ~ sQ0_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f418,f1014,f464,f519]) ).
fof(f1041,definition,
( sQ119_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( sQ21_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f422,f1027,f1041,f532]) ).
fof(f1045,plain,
( ~ sQ21_spl
| sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f423,f1027,f1041,f532]) ).
fof(f1047,plain,
( ~ sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f425,f1027,f1041]) ).
fof(f1049,definition,
( sQ120_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ20_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f430,f1041,f1049,f529]) ).
fof(f1053,plain,
( ~ sQ17_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f431,f1041,f1049,f519]) ).
fof(f1054,plain,
( sQ1_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f432,f1041,f1049,f467]) ).
fof(f1055,plain,
( ~ sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f433,f1041,f1049]) ).
fof(f1056,plain,
( ~ sQ1_spl
| sQ17_spl
| ~ sQ20_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f434,f1041,f529,f519,f467]) ).
fof(f1057,definition,
( sQ121_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( sQ3_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f438,f1049,f1057,f473]) ).
fof(f1061,plain,
( ~ sQ12_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f439,f1049,f1057,f503]) ).
fof(f1062,plain,
( sQ60_spl
| sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f440,f1049,f1057,f659]) ).
fof(f1063,plain,
( ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f441,f1049,f1057]) ).
fof(f1064,plain,
( ~ sQ60_spl
| sQ12_spl
| ~ sQ3_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f442,f1049,f473,f503,f659]) ).
fof(f1065,definition,
( sQ122_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( sQ2_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f446,f1057,f1065,f470]) ).
fof(f1069,plain,
( ~ sQ8_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f447,f1057,f1065,f490]) ).
fof(f1070,plain,
( sQ40_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f448,f1057,f1065,f594]) ).
fof(f1071,plain,
( ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f449,f1057,f1065]) ).
fof(f1072,plain,
( ~ sQ40_spl
| sQ8_spl
| ~ sQ2_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f450,f1057,f470,f490,f594]) ).
fof(f1073,definition,
( sQ123_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( sQ1_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f454,f1065,f1073,f467]) ).
fof(f1077,plain,
( ~ sQ4_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f455,f1065,f1073,f477]) ).
fof(f1078,plain,
( sQ20_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f456,f1065,f1073,f529]) ).
fof(f1079,plain,
( ~ sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f457,f1065,f1073]) ).
fof(f1080,plain,
( ~ sQ20_spl
| sQ4_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f458,f1065,f467,f477,f529]) ).
fof(f1081,plain,
( sQ0_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f460,f1073,f464]) ).
fof(f1082,plain,
( ~ sQ0_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f461,f1073,f464]) ).
fof(f1085,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f562,f565]) ).
fof(f1086,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1085,f131]) ).
fof(f1087,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f510,f513]) ).
fof(f1089,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1088,f131]) ).
fof(f1090,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1089]) ).
fof(f1091,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f640,f88]) ).
fof(f1092,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f640,f86]) ).
fof(f1093,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f627,f83]) ).
fof(f1094,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f627,f82]) ).
fof(f1095,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f627,f80]) ).
fof(f1096,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f611,f617]) ).
fof(f1097,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f130]) ).
fof(f1098,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f650,f653]) ).
fof(f1100,plain,
( ~ sQ58_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f129]) ).
fof(f1101,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f637,f640]) ).
fof(f1103,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f129]) ).
fof(f1104,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f624,f627]) ).
fof(f1106,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1105,f129]) ).
fof(f1107,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1108,plain,
( ~ sQ52_spl
| op(e2,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f634,f89]) ).
fof(f1109,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f552,f90]) ).
fof(f1110,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f591,f87]) ).
fof(f1111,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f591,f85]) ).
fof(f1113,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f578,f79]) ).
fof(f1114,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f549,f552]) ).
fof(f1115,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f131]) ).
fof(f1116,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f497,f500]) ).
fof(f1119,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f131]) ).
fof(f1120,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f556,f559]) ).
fof(f1122,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1121,f126]) ).
fof(f1123,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( ~ sQ56_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f647,f92]) ).
fof(f1126,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f494,f91]) ).
fof(f1127,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f585,f591]) ).
fof(f1128,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f130]) ).
fof(f1129,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1130,plain,
( ~ sQ56_spl
| op(e1,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f647,f94]) ).
fof(f1131,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f572,f578]) ).
fof(f1132,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f130]) ).
fof(f1133,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1132]) ).
fof(f1134,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f608,f611]) ).
fof(f1135,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1134,f126]) ).
fof(f1136,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f647,f656]) ).
fof(f1139,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f128]) ).
fof(f1140,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f494,f500]) ).
fof(f1142,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1141,f130]) ).
fof(f1143,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f621,f627]) ).
fof(f1145,plain,
( ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f127]) ).
fof(f1146,plain,
( ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1147,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f634,f640]) ).
fof(f1148,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1147,f127]) ).
fof(f1149,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
( ~ sQ13_spl
| e1 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f507,f96]) ).
fof(f1151,plain,
( ~ sQ13_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f507,f97]) ).
fof(f1152,plain,
( ~ sQ13_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f507,f98]) ).
fof(f1153,plain,
( ~ sQ24_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f543,f93]) ).
fof(f1154,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1153,f594,f542]) ).
fof(f1155,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f487,f84]) ).
fof(f1156,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f526,f78]) ).
fof(f1157,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f484,f487]) ).
fof(f1158,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1157,f131]) ).
fof(f1159,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f523,f526]) ).
fof(f1161,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f131]) ).
fof(f1162,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f582,f588]) ).
fof(f1164,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f127]) ).
fof(f1165,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ5_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f481,f84]) ).
fof(f1168,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f533,f1167]) ).
fof(f1169,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1168]) ).
fof(f1170,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ sQ16_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f517,f78]) ).
fof(f1172,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f569,f572]) ).
fof(f1173,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f126]) ).
fof(f1174,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( ~ sQ5_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f481,f102]) ).
fof(f1176,plain,
( ~ sQ46_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f614,f101]) ).
fof(f1177,plain,
( ~ sQ46_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f614,f99]) ).
fof(f1180,plain,
( ~ sQ13_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f507,f104]) ).
fof(f1181,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f601,f95]) ).
fof(f1182,plain,
( ~ sQ63_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f669,f100]) ).
fof(f1184,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f1150]) ).
fof(f1185,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( ~ sQ63_spl
| op(e0,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f669,f98]) ).
fof(f1187,plain,
( ~ sQ46_spl
| op(e0,e3) != e2 ),
inference(forward_demodulation,[status(thm)],[f614,f97]) ).
fof(f1188,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f517,f520]) ).
fof(f1189,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f126]) ).
fof(f1190,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1193,plain,
( ~ sQ63_spl
| op(e2,e3) != e3 ),
inference(forward_demodulation,[status(thm)],[f669,f101]) ).
fof(f1195,plain,
( ~ sQ12_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f504,f106]) ).
fof(f1196,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1195,f477,f503]) ).
fof(f1198,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1187,f509,f613]) ).
fof(f1199,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1171,f464,f516]) ).
fof(f1200,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1111,f486,f590]) ).
fof(f1204,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1180,f467,f506]) ).
fof(f1205,plain,
( ~ sQ56_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1130,f542,f646]) ).
fof(f1206,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1124,f490,f646]) ).
fof(f1207,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f601,f604]) ).
fof(f1208,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f131]) ).
fof(f1209,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1108,f581,f633]) ).
fof(f1211,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1186,f512,f668]) ).
fof(f1212,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1126,f597,f493]) ).
fof(f1213,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f575,f578]) ).
fof(f1214,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1213,f131]) ).
fof(f1215,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1181,f652,f600]) ).
fof(f1217,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1176,f665,f613]) ).
fof(f1218,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1156,f473,f525]) ).
fof(f1219,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1182,f564,f668]) ).
fof(f1220,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1110,f538,f590]) ).
fof(f1221,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1093,f574,f626]) ).
fof(f1222,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1094,f522,f626]) ).
fof(f1223,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1095,f470,f626]) ).
fof(f1224,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1091,f535,f639]) ).
fof(f1225,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1092,f483,f639]) ).
fof(f1226,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1113,f473,f577]) ).
fof(f1227,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1109,f499,f551]) ).
fof(f1231,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f556,f112]) ).
fof(f1232,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f556,f110]) ).
fof(f1233,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1232,f516,f555]) ).
fof(f1234,plain,
( ~ sQ25_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f546,f113]) ).
fof(f1235,plain,
( ~ sQ25_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f546,f111]) ).
fof(f1236,plain,
( ~ sQ25_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f546,f109]) ).
fof(f1237,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1234,f558,f545]) ).
fof(f1238,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1235,f532,f545]) ).
fof(f1239,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1236,f519,f545]) ).
fof(f1240,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f630,f120]) ).
fof(f1241,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f504,f107]) ).
fof(f1242,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f630,f121]) ).
fof(f1243,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f533,f108]) ).
fof(f1244,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1243,f519,f532]) ).
fof(f1246,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f504,f507]) ).
fof(f1247,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1246,f126]) ).
fof(f1248,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1250,plain,
( ~ sQ3_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f474,f103]) ).
fof(f1251,plain,
( ~ sQ55_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f1240]) ).
fof(f1252,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1251]) ).
fof(f1253,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1155,f538,f486]) ).
fof(f1254,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1242,f655,f629]) ).
fof(f1255,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1175,f467,f480]) ).
fof(f1256,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f663,f125]) ).
fof(f1257,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f663,f124]) ).
fof(f1263,plain,
( sQ70_spl
| ~ sQ3_spl
| e1 != op(op(e0,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f474,f737]) ).
fof(f1265,plain,
( sQ66_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(backward_demodulation,[status(thm)],[f474,f723]) ).
fof(f1266,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f621,f83]) ).
fof(f1268,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f575,f116]) ).
fof(f1270,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f575,f114]) ).
fof(f1271,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1268,f613,f574]) ).
fof(f1274,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f653,f123]) ).
fof(f1275,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f621,f82]) ).
fof(f1280,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f546,f552]) ).
fof(f1281,plain,
( ~ sQ27_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f130]) ).
fof(f1282,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1270,f587,f574]) ).
fof(f1288,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1250,f499,f473]) ).
fof(f1289,plain,
( ~ sQ51_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f630,f80]) ).
fof(f1292,plain,
( ~ sQ6_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f484,f85]) ).
fof(f1294,plain,
( ~ sQ6_spl
| e2 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f484,f105]) ).
fof(f1304,plain,
( ~ sQ11_spl
| e3 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f500,f92]) ).
fof(f1310,plain,
( ~ sQ25_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f94]) ).
fof(f1311,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f465,f468]) ).
fof(f1312,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f126]) ).
fof(f1313,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f510,f1263]) ).
fof(f1316,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f510,f1265]) ).
fof(f1318,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f660,f663]) ).
fof(f1319,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f126]) ).
fof(f1320,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1321,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1256,f649,f662]) ).
fof(f1322,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1304,f655,f499]) ).
fof(f1323,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1292,f587,f483]) ).
fof(f1324,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1289,f473,f629]) ).
fof(f1325,plain,
( ~ sQ32_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f569,f81]) ).
fof(f1333,plain,
( ~ sQ18_spl
| op(e0,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f523,f78]) ).
fof(f1336,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f637,f89]) ).
fof(f1340,plain,
( ~ sQ25_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f546,f93]) ).
fof(f1342,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f1333]) ).
fof(f1343,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1266,f568,f620]) ).
fof(f1345,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f637,f643]) ).
fof(f1346,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f130]) ).
fof(f1347,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1193,f616,f668]) ).
fof(f1349,plain,
( ~ sQ22_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f536,f84]) ).
fof(f1351,plain,
( ~ sQ22_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f536,f87]) ).
fof(f1352,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1351,f587,f535]) ).
fof(f1353,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f585,f118]) ).
fof(f1354,plain,
( ~ sQ37_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f585,f117]) ).
fof(f1361,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f539,f112]) ).
fof(f1363,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f530,f539]) ).
fof(f1364,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1363,f128]) ).
fof(f1365,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1316,f574,f509,f473,f721]) ).
fof(f1367,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1275,f516,f620]) ).
fof(f1368,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1310,f649,f545]) ).
fof(f1369,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1151,f610,f506]) ).
fof(f1370,plain,
( ~ sQ2_spl
| e2 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f471,f102]) ).
fof(f1371,plain,
( ~ sQ2_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f471,f104]) ).
fof(f1374,plain,
( ~ sQ45_spl
| e1 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f611,f101]) ).
fof(f1375,plain,
( ~ sQ45_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f611,f99]) ).
fof(f1377,plain,
( ~ sQ45_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f611,f119]) ).
fof(f1378,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1375,f558,f610]) ).
fof(f1379,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1377,f597,f610]) ).
fof(f1380,plain,
( sQ67_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f471,f726]) ).
fof(f1382,plain,
( ~ sQ49_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f624,f122]) ).
fof(f1383,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f471,f474]) ).
fof(f1384,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f131]) ).
fof(f1385,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1384]) ).
fof(f1388,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1294,f496,f483]) ).
fof(f1389,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1340,f597,f545]) ).
fof(f1390,plain,
( ~ sQ13_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1152,f662,f506]) ).
fof(f1392,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f624,f630]) ).
fof(f1393,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f130]) ).
fof(f1394,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1336,f584,f636]) ).
fof(f1396,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1325,f516,f568]) ).
fof(f1397,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1349,f483,f535]) ).
fof(f1398,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1371,f509,f470]) ).
fof(f1403,plain,
( ~ sQ17_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f520,f82]) ).
fof(f1406,plain,
( ~ sQ17_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f520,f110]) ).
fof(f1407,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1406,f558,f519]) ).
fof(f1408,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f520,f526]) ).
fof(f1409,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f130]) ).
fof(f1410,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1409]) ).
fof(f1411,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1370,f483,f470]) ).
fof(f1412,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1382,f662,f623]) ).
fof(f1414,plain,
( ~ sQ47_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f617,f116]) ).
fof(f1420,plain,
( ~ sQ50_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f627,f120]) ).
fof(f1421,plain,
( ~ sQ50_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f627,f121]) ).
fof(f1423,plain,
( ~ sQ41_spl
| op(e2,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f598,f115]) ).
fof(f1424,plain,
( ~ sQ41_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f598,f95]) ).
fof(f1426,plain,
( ~ sQ13_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f507,f107]) ).
fof(f1428,plain,
( ~ sQ13_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f507,f106]) ).
fof(f1430,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f598,f601]) ).
fof(f1431,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f129]) ).
fof(f1432,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1274,f639,f652]) ).
fof(f1434,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1374,f662,f610]) ).
fof(f1435,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1424,f649,f597]) ).
fof(f1437,plain,
( ~ sQ0_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f465,f79]) ).
fof(f1440,plain,
( ~ sQ0_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f465,f103]) ).
fof(f1441,plain,
( ~ sQ36_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f582,f85]) ).
fof(f1444,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f582,f114]) ).
fof(f1445,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1441,f477,f581]) ).
fof(f1451,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f465,f474]) ).
fof(f1452,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f128]) ).
fof(f1453,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1353,f610,f584]) ).
fof(f1455,plain,
( ~ sQ50_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1420,f639,f626]) ).
fof(f1457,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1428,f480,f506]) ).
fof(f1458,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1440,f490,f464]) ).
fof(f1459,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f520,f78]) ).
fof(f1460,plain,
( ~ sQ17_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f520,f81]) ).
fof(f1463,plain,
( ~ sQ60_spl
| op(e3,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f660,f124]) ).
fof(f1464,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f660,f125]) ).
fof(f1466,plain,
( ~ sQ60_spl
| op(e1,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f660,f100]) ).
fof(f1467,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1463,f633,f659]) ).
fof(f1468,plain,
( sQ70_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1314,f571,f509,f473,f735]) ).
fof(f1469,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1354,f597,f584]) ).
fof(f1470,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1403,f623,f519]) ).
fof(f1471,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1380,f499,f470,f724]) ).
fof(f1475,plain,
( ~ sQ44_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f608,f101]) ).
fof(f1476,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f608,f617]) ).
fof(f1477,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1476,f128]) ).
fof(f1478,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1480,plain,
( ~ sQ26_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f549,f93]) ).
fof(f1481,plain,
( ~ sQ26_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f549,f90]) ).
fof(f1483,plain,
( ~ sQ26_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f549,f111]) ).
fof(f1484,plain,
( ~ sQ26_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f549,f113]) ).
fof(f1485,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1484,f561,f548]) ).
fof(f1495,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f500,f105]) ).
fof(f1501,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f82]) ).
fof(f1505,plain,
( ~ sQ12_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f504,f97]) ).
fof(f1507,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f526,f108]) ).
fof(f1512,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f481,f86]) ).
fof(f1518,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f526,f109]) ).
fof(f1523,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f559,f112]) ).
fof(f1524,plain,
( ~ sQ19_spl
| e3 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f526,f110]) ).
fof(f1535,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f500,f91]) ).
fof(f1544,plain,
( ~ sQ32_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f569,f115]) ).
fof(f1553,plain,
( ~ sQ52_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f634,f123]) ).
fof(f1569,plain,
( ~ sQ49_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f624,f120]) ).
fof(f1575,plain,
( ~ sQ12_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f504,f98]) ).
fof(f1579,plain,
( ~ sQ12_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f504,f96]) ).
fof(f1581,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f569,f116]) ).
fof(f1589,plain,
( ~ sQ2_spl
| e2 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f471,f79]) ).
fof(f1591,plain,
( ~ sQ2_spl
| e2 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f471,f103]) ).
fof(f1593,plain,
( ~ sQ19_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f526,f81]) ).
fof(f1602,plain,
( ~ sQ58_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f653,f125]) ).
fof(f1604,plain,
( ~ sQ29_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f559,f100]) ).
fof(f1612,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f591,f118]) ).
fof(f1624,plain,
( sQ76_spl
| ~ sQ22_spl
| e0 != op(op(e1,e2),e1) ),
inference(forward_demodulation,[status(thm)],[f536,f761]) ).
fof(f1625,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f1624]) ).
fof(f1627,plain,
( sQ82_spl
| ~ sQ41_spl
| e0 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f598,f785]) ).
fof(f1628,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ39_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f591,f1627]) ).
fof(f1633,plain,
( sQ80_spl
| ~ sQ41_spl
| e3 != op(op(e2,e1),e2) ),
inference(forward_demodulation,[status(thm)],[f598,f778]) ).
fof(f1636,plain,
( sQ68_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f471,f730]) ).
fof(f1637,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f500,f1636]) ).
fof(f1639,plain,
( sQ70_spl
| ~ sQ2_spl
| e1 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f471,f737]) ).
fof(f1640,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f500,f1639]) ).
fof(f1641,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f624,f1640]) ).
fof(f1642,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1641]) ).
fof(f1643,plain,
( sQ70_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1642]) ).
fof(f1644,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1591,f496,f470]) ).
fof(f1646,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f653,f92]) ).
fof(f1650,plain,
( ~ sQ22_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f536,f112]) ).
fof(f1654,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f653,f94]) ).
fof(f1656,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1437,f568,f464]) ).
fof(f1659,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1444,f568,f581]) ).
fof(f1660,plain,
( ~ sQ63_spl
| op(e3,e1) != e3 ),
inference(forward_demodulation,[status(thm)],[f669,f124]) ).
fof(f1662,plain,
( ~ sQ46_spl
| op(e2,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f614,f118]) ).
fof(f1664,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f569,f578]) ).
fof(f1665,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f128]) ).
fof(f1666,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1667,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1241,f490,f503]) ).
fof(f1668,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1575,f659,f503]) ).
fof(f1669,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1361,f564,f538]) ).
fof(f1670,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1604,f662,f558]) ).
fof(f1671,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1505,f607,f503]) ).
fof(f1672,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1231,f529,f555]) ).
fof(f1673,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1602,f665,f652]) ).
fof(f1674,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1421,f652,f626]) ).
fof(f1675,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1581,f607,f568]) ).
fof(f1676,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1177,f561,f613]) ).
fof(f1684,plain,
( sQ74_spl
| ~ sQ20_spl
| e3 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f530,f754]) ).
fof(f1688,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f552,f113]) ).
fof(f1693,plain,
( ~ sQ15_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f513,f106]) ).
fof(f1694,plain,
( ~ sQ15_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f513,f96]) ).
fof(f1696,plain,
( ~ sQ15_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f513,f107]) ).
fof(f1697,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1693,f486,f512]) ).
fof(f1698,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1637,f629,f499,f470,f728]) ).
fof(f1700,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1423,f571,f597]) ).
fof(f1701,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1696,f499,f512]) ).
fof(f1703,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1535,f603,f499]) ).
fof(f1707,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1512,f636,f480]) ).
fof(f1708,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1507,f538,f525]) ).
fof(f1709,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1501,f629,f525]) ).
fof(f1710,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1589,f574,f470]) ).
fof(f1711,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1579,f555,f503]) ).
fof(f1712,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1483,f535,f548]) ).
fof(f1714,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1688,f564,f551]) ).
fof(f1715,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1414,f577,f616]) ).
fof(f1716,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1523,f532,f558]) ).
fof(f1717,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1654,f548,f652]) ).
fof(f1718,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1475,f659,f607]) ).
fof(f1719,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1660,f642,f668]) ).
fof(f1721,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1625,f477,f542,f535,f759]) ).
fof(f1727,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f468,f80]) ).
fof(f1728,plain,
( ~ sQ1_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f468,f79]) ).
fof(f1729,plain,
( ~ sQ1_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f468,f103]) ).
fof(f1746,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f591,f117]) ).
fof(f1750,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f478,f86]) ).
fof(f1751,plain,
( ~ sQ4_spl
| e0 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f478,f105]) ).
fof(f1752,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1750,f633,f477]) ).
fof(f1753,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1751,f490,f477]) ).
fof(f1761,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f491,f497]) ).
fof(f1762,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1761,f127]) ).
fof(f1763,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1765,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1481,f496,f548]) ).
fof(f1780,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f565,f99]) ).
fof(f1788,plain,
( ~ sQ24_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f543,f111]) ).
fof(f1789,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1788,f529,f542]) ).
fof(f1790,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f543,f546]) ).
fof(f1791,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f126]) ).
fof(f1792,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1791]) ).
fof(f1793,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1727,f623,f467]) ).
fof(f1794,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1729,f493,f467]) ).
fof(f1795,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1694,f564,f512]) ).
fof(f1796,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1746,f603,f590]) ).
fof(f1797,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1662,f587,f613]) ).
fof(f1802,plain,
( ~ sQ9_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f494,f92]) ).
fof(f1807,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f549,f109]) ).
fof(f1815,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f595,f604]) ).
fof(f1816,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f128]) ).
fof(f1817,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1820,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f595,f598]) ).
fof(f1821,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f126]) ).
fof(f1822,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1821]) ).
fof(f1828,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f491,f90]) ).
fof(f1831,plain,
( ~ sQ59_spl
| op(e3,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f656,f123]) ).
fof(f1835,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f575,f81]) ).
fof(f1848,plain,
( ~ sQ14_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f510,f106]) ).
fof(f1849,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f510,f98]) ).
fof(f1859,plain,
( ~ sQ20_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f530,f108]) ).
fof(f1860,plain,
( ~ sQ20_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f530,f88]) ).
fof(f1861,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1859,f516,f529]) ).
fof(f1863,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1544,f594,f568]) ).
fof(f1865,plain,
( ~ sQ18_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f1807]) ).
fof(f1866,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1865]) ).
fof(f1868,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1835,f522,f574]) ).
fof(f1869,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1650,f561,f535]) ).
fof(f1872,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1646,f496,f652]) ).
fof(f1873,plain,
( sQ66_spl
| ~ sQ3_spl
| e2 != op(op(e0,e3),e0) ),
inference(forward_demodulation,[status(thm)],[f474,f723]) ).
fof(f1876,plain,
( sQ71_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f474,f741]) ).
fof(f1878,plain,
( ~ sQ43_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f604,f95]) ).
fof(f1879,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f604,f119]) ).
fof(f1880,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1878,f655,f603]) ).
fof(f1881,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1459,f467,f519]) ).
fof(f1883,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1848,f483,f509]) ).
fof(f1884,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1849,f665,f509]) ).
fof(f1885,plain,
( sQ82_spl
| ~ sQ41_spl
| ~ sQ39_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1628,f646,f590,f597,f783]) ).
fof(f1886,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1518,f551,f525]) ).
fof(f1887,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1828,f542,f490]) ).
fof(f1891,plain,
( ~ sQ15_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f513,f104]) ).
fof(f1892,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1891,f473,f512]) ).
fof(f1893,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1860,f633,f529]) ).
fof(f1894,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1553,f646,f633]) ).
fof(f1898,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f552,f93]) ).
fof(f1899,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1898,f603,f551]) ).
fof(f1900,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1495,f486,f499]) ).
fof(f1901,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1524,f564,f525]) ).
fof(f1902,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1593,f577,f525]) ).
fof(f1931,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f533,f539]) ).
fof(f1932,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f130]) ).
fof(f1933,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1932]) ).
fof(f1937,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1879,f616,f603]) ).
fof(f1939,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1426,f493,f506]) ).
fof(f1940,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1464,f646,f659]) ).
fof(f1942,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1780,f616,f564]) ).
fof(f1943,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1802,f649,f493]) ).
fof(f1950,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f640,f89]) ).
fof(f1952,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1950,f587,f639]) ).
fof(f1954,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1728,f571,f467]) ).
fof(f1958,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1460,f571,f519]) ).
fof(f1992,plain,
( ~ sQ24_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f543,f113]) ).
fof(f1997,plain,
( ~ sQ10_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f497,f107]) ).
fof(f2028,plain,
( ~ sQ62_spl
| op(e1,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f666,f100]) ).
fof(f2029,plain,
( ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2028,f561,f665]) ).
fof(f2032,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1257,f636,f662]) ).
fof(f2035,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1997,f509,f496]) ).
fof(f2040,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1569,f636,f623]) ).
fof(f2062,plain,
( sQ81_spl
| ~ sQ43_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f604,f781]) ).
fof(f2090,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f634,f637]) ).
fof(f2091,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f126]) ).
fof(f2092,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2091]) ).
fof(f2093,plain,
( sQ71_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1876,f506,f473,f739]) ).
fof(f2096,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f507,f1873]) ).
fof(f2106,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f666,f669]) ).
fof(f2107,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f131]) ).
fof(f2108,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2123,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f478,f102]) ).
fof(f2125,plain,
( ~ sQ43_spl
| op(e2,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f604,f115]) ).
fof(f2161,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f2125]) ).
fof(f2162,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2161]) ).
fof(f2166,plain,
( ~ sQ10_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f497,f91]) ).
fof(f2167,plain,
( ~ sQ56_spl
| op(e2,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f647,f95]) ).
fof(f2204,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f637,f123]) ).
fof(f2239,plain,
( ~ sQ35_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f578,f83]) ).
fof(f2255,plain,
( sQ69_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f468,f733]) ).
fof(f2265,plain,
( sQ66_spl
| ~ sQ1_spl
| e2 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f468,f723]) ).
fof(f2266,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f487,f2265]) ).
fof(f2267,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f627,f2266]) ).
fof(f2268,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2267]) ).
fof(f2269,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
( sQ67_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f468,f726]) ).
fof(f2271,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f487,f2270]) ).
fof(f2272,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2271]) ).
fof(f2273,plain,
( sQ67_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( sQ69_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2255,f483,f467,f731]) ).
fof(f2277,plain,
( sQ68_spl
| ~ sQ1_spl
| e3 != op(op(e0,e1),e0) ),
inference(forward_demodulation,[status(thm)],[f468,f730]) ).
fof(f2300,plain,
( ~ sQ23_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f539,f111]) ).
fof(f2337,plain,
( sQ75_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f539,f757]) ).
fof(f2338,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f562,f2337]) ).
fof(f2339,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2338]) ).
fof(f2340,plain,
( sQ75_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2339]) ).
fof(f2342,plain,
( sQ76_spl
| ~ sQ23_spl
| e0 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f539,f761]) ).
fof(f2362,plain,
( sQ86_spl
| ~ sQ61_spl
| e2 != op(op(e3,e1),e3) ),
inference(forward_demodulation,[status(thm)],[f663,f802]) ).
fof(f2377,plain,
( sQ72_spl
| ~ sQ23_spl
| e2 != op(op(e1,e3),e1) ),
inference(forward_demodulation,[status(thm)],[f539,f747]) ).
fof(f2380,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f491,f91]) ).
fof(f2394,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f484,f2277]) ).
fof(f2395,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f578,f2394]) ).
fof(f2396,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2395]) ).
fof(f2397,plain,
( sQ68_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2396]) ).
fof(f2423,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f663,f669]) ).
fof(f2424,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2423,f130]) ).
fof(f2425,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2424]) ).
fof(f2426,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1466,f555,f659]) ).
fof(f2427,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1992,f555,f542]) ).
fof(f2429,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1831,f642,f655]) ).
fof(f2430,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2096,f522,f506,f473,f721]) ).
fof(f2432,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2300,f551,f538]) ).
fof(f2434,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2239,f629,f577]) ).
fof(f2435,plain,
( sQ81_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2062,f610,f603,f779]) ).
fof(f2494,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f624,f121]) ).
fof(f2554,plain,
( ~ sQ4_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f478,f84]) ).
fof(f2556,plain,
( ~ sQ21_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f533,f88]) ).
fof(f2584,plain,
( ~ sQ28_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f556,f99]) ).
fof(f2598,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f588,f117]) ).
fof(f2608,plain,
( sQ78_spl
| ~ sQ43_spl
| e1 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f604,f771]) ).
fof(f2611,plain,
( sQ71_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f471,f741]) ).
fof(f2612,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f494,f2611]) ).
fof(f2613,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2612]) ).
fof(f2614,plain,
( sQ71_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2616,plain,
( sQ68_spl
| ~ sQ2_spl
| e3 != op(op(e0,e2),e0) ),
inference(forward_demodulation,[status(thm)],[f471,f730]) ).
fof(f2617,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f494,f2616]) ).
fof(f2618,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f526,f2617]) ).
fof(f2619,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2618]) ).
fof(f2620,plain,
( sQ68_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2623,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2380,f594,f490]) ).
fof(f2625,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2204,f649,f636]) ).
fof(f2629,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1612,f616,f590]) ).
fof(f2631,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2556,f636,f532]) ).
fof(f2632,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2584,f607,f555]) ).
fof(f2785,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ30_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f562,f2342]) ).
fof(f2787,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f634,f2362]) ).
fof(f2804,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f608,f2608]) ).
fof(f2805,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f494,f2804]) ).
fof(f2806,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2805]) ).
fof(f2807,plain,
( sQ78_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2806]) ).
fof(f2810,plain,
( sQ83_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f604,f789]) ).
fof(f2811,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f608,f2810]) ).
fof(f2812,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2811]) ).
fof(f2813,plain,
( sQ83_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2812]) ).
fof(f2842,plain,
( ~ sQ0_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f465,f104]) ).
fof(f2848,plain,
( sQ82_spl
| ~ sQ43_spl
| e0 != op(op(e2,e3),e2) ),
inference(forward_demodulation,[status(thm)],[f604,f785]) ).
fof(f2869,plain,
( sQ88_spl
| ~ sQ62_spl
| e0 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f666,f809]) ).
fof(f2870,plain,
( sQ84_spl
| ~ sQ62_spl
| e1 != op(op(e3,e2),e3) ),
inference(backward_demodulation,[status(thm)],[f666,f795]) ).
fof(f2876,plain,
( sQ74_spl
| ~ sQ22_spl
| e3 != op(op(e1,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f536,f754]) ).
fof(f2877,plain,
( sQ73_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f536,f750]) ).
fof(f2878,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f543,f2876]) ).
fof(f2879,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f487,f2878]) ).
fof(f2880,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2879]) ).
fof(f2881,plain,
( sQ74_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2880]) ).
fof(f2883,plain,
( sQ77_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f536,f765]) ).
fof(f2884,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f543,f2883]) ).
fof(f2885,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2884]) ).
fof(f2886,plain,
( sQ77_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2899,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2554,f529,f477]) ).
fof(f3023,plain,
( ~ sQ3_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f474,f102]) ).
fof(f3076,plain,
( sQ69_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f474,f733]) ).
fof(f3077,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f510,f3076]) ).
fof(f3078,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3077]) ).
fof(f3079,plain,
( sQ69_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3078]) ).
fof(f3085,plain,
( ~ sQ18_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f523,f108]) ).
fof(f3098,plain,
( sQ74_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f523,f1684]) ).
fof(f3113,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f481,f85]) ).
fof(f3116,plain,
( sQ84_spl
| ~ sQ60_spl
| e1 != op(op(e3,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f660,f795]) ).
fof(f3128,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f530,f87]) ).
fof(f3133,plain,
( ~ sQ39_spl
| sQ74_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f3098]) ).
fof(f3134,plain,
( ~ sQ39_spl
| sQ74_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3133]) ).
fof(f3135,plain,
( sQ75_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f757]) ).
fof(f3136,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f523,f3135]) ).
fof(f3137,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3136]) ).
fof(f3138,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3137]) ).
fof(f3141,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f656,f94]) ).
fof(f3146,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f491,f494]) ).
fof(f3147,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f126]) ).
fof(f3148,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3178,plain,
( sQ79_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f598,f774]) ).
fof(f3184,plain,
( sQ88_spl
| ~ sQ61_spl
| e0 != op(op(e3,e1),e3) ),
inference(forward_demodulation,[status(thm)],[f663,f809]) ).
fof(f3185,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f640,f3184]) ).
fof(f3232,plain,
( sQ72_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f556,f2377]) ).
fof(f3247,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f582,f1633]) ).
fof(f3251,plain,
( sQ80_spl
| ~ sQ41_spl
| ~ sQ36_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3247,f499,f581,f597,f776]) ).
fof(f3254,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f598,f789]) ).
fof(f3255,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f582,f3254]) ).
fof(f3256,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3255]) ).
fof(f3257,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3256]) ).
fof(f3261,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3128,f581,f529]) ).
fof(f3268,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3085,f535,f522]) ).
fof(f3272,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2166,f600,f496]) ).
fof(f3275,plain,
( sQ79_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3178,f590,f597,f772]) ).
fof(f3276,plain,
( sQ88_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3185,f607,f639,f662,f807]) ).
fof(f3285,plain,
( sQ72_spl
| ~ sQ20_spl
| e2 != op(op(e1,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f530,f747]) ).
fof(f3477,plain,
( sQ85_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f663,f798]) ).
fof(f3478,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f640,f3477]) ).
fof(f3479,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3478]) ).
fof(f3480,plain,
( sQ85_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3479]) ).
fof(f3481,plain,
( ~ sQ3_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3023,f486,f473]) ).
fof(f3504,plain,
( ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3141,f551,f655]) ).
fof(f3511,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2494,f649,f623]) ).
fof(f3513,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3113,f584,f480]) ).
fof(f3527,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2842,f503,f464]) ).
fof(f3528,plain,
( sQ72_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3232,f483,f555,f538,f745]) ).
fof(f3532,plain,
( sQ76_spl
| ~ sQ23_spl
| ~ sQ30_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2785,f581,f561,f538,f759]) ).
fof(f3536,plain,
( ~ sQ56_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2167,f594,f646]) ).
fof(f3713,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f627,f3116]) ).
fof(f3714,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f611,f3713]) ).
fof(f3715,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3714]) ).
fof(f3716,plain,
( sQ84_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3715]) ).
fof(f3719,plain,
( sQ85_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f660,f798]) ).
fof(f3720,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f627,f3719]) ).
fof(f3721,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3720]) ).
fof(f3722,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3721]) ).
fof(f3734,plain,
( sQ82_spl
| ~ sQ43_spl
| ~ sQ45_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f611,f2848]) ).
fof(f3765,plain,
( sQ86_spl
| ~ sQ60_spl
| e2 != op(op(e3,e0),e3) ),
inference(forward_demodulation,[status(thm)],[f660,f802]) ).
fof(f3792,plain,
( ~ sQ24_spl
| sQ82_spl
| ~ sQ43_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f3734]) ).
fof(f3793,plain,
( ~ sQ24_spl
| sQ82_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3792]) ).
fof(f3794,plain,
( sQ73_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2877,f551,f535,f748]) ).
fof(f3921,plain,
( sQ78_spl
| ~ sQ40_spl
| e1 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f595,f771]) ).
fof(f3922,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f578,f3921]) ).
fof(f3968,plain,
( sQ81_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f595,f781]) ).
fof(f3972,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f552,f1624]) ).
fof(f3973,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f634,f3972]) ).
fof(f3974,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3973]) ).
fof(f3975,plain,
( sQ76_spl
| ~ sQ22_spl
| ~ sQ27_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3974]) ).
fof(f3984,plain,
( sQ81_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3968,f571,f594,f779]) ).
fof(f4016,plain,
( sQ86_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2787,f509,f633,f662,f800]) ).
fof(f4226,plain,
( sQ89_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f663,f813]) ).
fof(f4227,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f634,f4226]) ).
fof(f4228,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4227]) ).
fof(f4229,plain,
( sQ89_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4228]) ).
fof(f4326,plain,
( sQ87_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f666,f805]) ).
fof(f4382,plain,
( sQ84_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f647,f2870]) ).
fof(f4400,plain,
( sQ77_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f539,f765]) ).
fof(f4401,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f556,f4400]) ).
fof(f4402,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4401]) ).
fof(f4403,plain,
( sQ77_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4402]) ).
fof(f4452,plain,
( sQ84_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4382,f506,f646,f665,f793]) ).
fof(f4453,plain,
( sQ89_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f666,f813]) ).
fof(f4454,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f647,f4453]) ).
fof(f4455,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4454]) ).
fof(f4456,plain,
( sQ89_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4455]) ).
fof(f4496,plain,
( sQ80_spl
| ~ sQ40_spl
| e3 != op(op(e2,e0),e2) ),
inference(forward_demodulation,[status(thm)],[f595,f778]) ).
fof(f4524,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f572,f4496]) ).
fof(f4528,plain,
( sQ80_spl
| ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4524,f551,f571,f594,f776]) ).
fof(f4534,plain,
( sQ78_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3922,f649,f577,f594,f769]) ).
fof(f4545,plain,
( sQ79_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f595,f774]) ).
fof(f4660,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f578,f4545]) ).
fof(f4661,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4660]) ).
fof(f4662,plain,
( sQ79_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4661]) ).
fof(f4663,plain,
( sQ87_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4326,f649,f665,f803]) ).
fof(f4690,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2123,f464,f477]) ).
fof(f4691,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1480,f600,f548]) ).
fof(f4695,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2598,f600,f587]) ).
fof(f4699,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f595,f601]) ).
fof(f4700,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4699,f127]) ).
fof(f4701,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4700]) ).
fof(f4704,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f650,f2869]) ).
fof(f4824,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f556,f4704]) ).
fof(f4825,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4824]) ).
fof(f4826,plain,
( sQ88_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4825]) ).
fof(f4995,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f624,f3765]) ).
fof(f4996,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f562,f4995]) ).
fof(f4997,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4996]) ).
fof(f4998,plain,
( sQ86_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4997]) ).
fof(f4999,plain,
( sQ87_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f660,f805]) ).
fof(f5000,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f624,f4999]) ).
fof(f5001,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5000]) ).
fof(f5002,plain,
( sQ87_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f5001]) ).
fof(f5065,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f526,f3285]) ).
fof(f5066,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f640,f5065]) ).
fof(f5067,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5066]) ).
fof(f5068,plain,
( sQ72_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f5067]) ).
fof(f5069,plain,
( sQ73_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f530,f750]) ).
fof(f5070,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f526,f5069]) ).
fof(f5071,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5070]) ).
fof(f5072,plain,
( sQ73_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5071]) ).
fof(f5073,plain,
$false,
inference(sat_refutation,[status(thm)],[f476,f489,f502,f515,f528,f541,f554,f567,f580,f593,f606,f619,f632,f645,f658,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f707,f708,f713,f714,f715,f717,f718,f719,f727,f734,f738,f742,f743,f744,f751,f758,f762,f766,f767,f768,f775,f782,f786,f790,f791,f792,f799,f806,f810,f814,f815,f816,f820,f821,f822,f823,f831,f832,f833,f834,f839,f840,f841,f842,f850,f851,f852,f853,f854,f858,f860,f865,f866,f867,f868,f873,f874,f875,f876,f880,f881,f882,f887,f888,f889,f890,f894,f895,f896,f897,f898,f902,f903,f904,f905,f909,f911,f912,f916,f917,f918,f919,f923,f924,f926,f931,f932,f933,f934,f938,f939,f940,f941,f945,f946,f947,f948,f952,f953,f954,f955,f956,f960,f962,f963,f967,f968,f969,f970,f974,f976,f977,f981,f982,f983,f984,f989,f990,f991,f992,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1009,f1010,f1011,f1012,f1013,f1017,f1018,f1019,f1020,f1021,f1023,f1024,f1025,f1030,f1031,f1032,f1033,f1034,f1036,f1037,f1038,f1039,f1040,f1044,f1045,f1047,f1052,f1053,f1054,f1055,f1056,f1060,f1061,f1062,f1063,f1064,f1068,f1069,f1070,f1071,f1072,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1087,f1090,f1098,f1101,f1104,f1107,f1116,f1120,f1123,f1129,f1133,f1136,f1140,f1143,f1146,f1149,f1154,f1159,f1162,f1165,f1170,f1174,f1185,f1190,f1196,f1198,f1199,f1200,f1204,f1205,f1206,f1209,f1210,f1211,f1212,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1225,f1226,f1227,f1233,f1237,f1238,f1239,f1244,f1248,f1252,f1253,f1254,f1255,f1271,f1282,f1283,f1288,f1313,f1320,f1321,f1322,f1323,f1324,f1343,f1344,f1347,f1348,f1352,f1365,f1366,f1367,f1368,f1369,f1378,f1379,f1385,f1388,f1389,f1390,f1394,f1395,f1396,f1397,f1398,f1407,f1410,f1411,f1412,f1432,f1433,f1434,f1435,f1445,f1453,f1454,f1455,f1457,f1458,f1467,f1468,f1469,f1470,f1471,f1478,f1485,f1643,f1644,f1656,f1659,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1697,f1698,f1700,f1701,f1703,f1707,f1708,f1709,f1710,f1711,f1712,f1714,f1715,f1716,f1717,f1718,f1719,f1721,f1752,f1753,f1763,f1765,f1789,f1792,f1793,f1794,f1795,f1796,f1797,f1817,f1822,f1861,f1863,f1866,f1868,f1869,f1872,f1880,f1881,f1883,f1884,f1885,f1886,f1887,f1892,f1893,f1894,f1899,f1900,f1901,f1902,f1933,f1937,f1939,f1940,f1942,f1943,f1952,f1954,f1958,f2029,f2032,f2035,f2040,f2092,f2093,f2108,f2162,f2269,f2273,f2274,f2340,f2397,f2425,f2426,f2427,f2429,f2430,f2432,f2434,f2435,f2614,f2620,f2623,f2625,f2629,f2631,f2632,f2807,f2813,f2881,f2886,f2899,f3079,f3134,f3138,f3148,f3251,f3257,f3261,f3268,f3272,f3275,f3276,f3480,f3481,f3504,f3511,f3513,f3527,f3528,f3532,f3536,f3716,f3722,f3793,f3794,f3975,f3984,f4016,f4229,f4403,f4452,f4456,f4528,f4534,f4662,f4663,f4690,f4691,f4695,f4701,f4826,f4998,f5002,f5068,f5072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG161+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:59:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.32/0.73 % Refutation found
% 1.32/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.32/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.32/0.76 % Elapsed time: 0.378870 seconds
% 1.32/0.76 % CPU time: 2.741102 seconds
% 1.32/0.76 % Total memory used: 36.023 MB
% 1.32/0.76 % Net memory used: 35.581 MB
%------------------------------------------------------------------------------