%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG147+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 11:48:37 AM UTC 2026
% Result : Unsatisfiable 2.61s 0.98s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 163
% Syntax : Number of formulae : 1471 ( 55 unt; 134 def)
% Number of atoms : 5261 (2567 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7002 (3212 ~;2629 |;1013 &)
% ( 148 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,op(e0,e0))) ),
file('/export/starexec/sandbox/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,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| sP0_prd )
& ( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) )
& ( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) )
& ( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) )
& ( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ) ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
( op(op(e3,e0),e3) = op(e3,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e0,e0),e0) = op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( op(op(e3,e1),e3) = op(e3,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e0,e1),e0) = op(e0,e1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( op(op(e3,e2),e3) = op(e3,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e0,e2),e0) = op(e0,e2) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
( op(op(e3,e3),e3) = op(e3,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e0,e3),e0) = op(e0,e3) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f139,plain,
( op(e3,e3) != e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
( op(e3,e0) != e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
( op(e3,e1) != e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
( op(e3,e2) != e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f147,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f149,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f151,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f155,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f161,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f163,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f165,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f169,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f179,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f183,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f185,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f187,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,definition,
( sP1_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f193,plain,
( sP0_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f192]) ).
fof(f194,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e3,e3) = e2
| op(e3,e2) != e3 )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( op(e3,e2) = e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( op(e3,e3) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
( op(e2,e0) != e0
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
( op(e2,e1) != e1
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
( op(e2,e2) != e2
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,plain,
( op(e2,e3) != e3
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f201,plain,
( ~ sP1_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f203,definition,
( sP2_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f204,plain,
( sP1_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f192,f203]) ).
fof(f205,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e3,e3) = e1
| op(e3,e1) != e3 )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e3,e1) = e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( op(e3,e3) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
( op(e1,e0) != e0
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f209,plain,
( op(e1,e1) != e1
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
( op(e1,e2) != e2
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f211,plain,
( op(e1,e3) != e3
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f212,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f214,definition,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f215,plain,
( sP2_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP3_prd ) ),
inference(formula_renaming,[status(thm)],[f203,f214]) ).
fof(f216,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e3,e0) != e3 )
& ~ sP3_prd )
| sP2_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| sP3_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( op(e3,e0) = e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( op(e3,e3) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
( op(e0,e0) != e0
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f220,plain,
( op(e0,e1) != e1
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f221,plain,
( op(e0,e2) != e2
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f222,plain,
( op(e0,e3) != e3
| sP3_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f223,plain,
( ~ sP3_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f225,definition,
( sP4_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f226,plain,
( sP3_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f214,f225]) ).
fof(f227,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e2,e2) = e3
| op(e2,e3) != e2 )
& ~ sP4_prd )
| sP3_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| sP4_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( op(e2,e3) = e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( op(e2,e2) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f230,plain,
( op(e3,e0) != e0
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f231,plain,
( op(e3,e1) != e1
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f232,plain,
( op(e3,e2) != e2
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f233,plain,
( op(e3,e3) != e3
| sP4_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f234,plain,
( ~ sP4_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f236,definition,
( sP5_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f237,plain,
( sP4_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f225,f236]) ).
fof(f238,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e2,e2) = e2
| op(e2,e2) != e2 )
& ~ sP5_prd )
| sP4_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| sP5_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( op(e2,e2) = e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f240,plain,
( op(e2,e2) != e2
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e2,e0) != e0
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f242,plain,
( op(e2,e1) != e1
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f244,plain,
( op(e2,e3) != e3
| sP5_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f245,plain,
( ~ sP5_prd
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f247,definition,
( sP6_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f248,plain,
( sP5_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f236,f247]) ).
fof(f249,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2 )
& ~ sP6_prd )
| sP5_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
( op(e2,e1) = e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( op(e2,e2) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,plain,
( op(e1,e0) != e0
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f253,plain,
( op(e1,e1) != e1
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f254,plain,
( op(e1,e2) != e2
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f255,plain,
( op(e1,e3) != e3
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f256,plain,
( ~ sP6_prd
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f257,plain,
( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e2,e2) = e1
| op(e2,e1) != e2
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f258,definition,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f259,plain,
( sP6_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f247,f258]) ).
fof(f260,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e2,e0) != e2 )
& ~ sP7_prd )
| sP6_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( op(e2,e0) = e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( op(e2,e2) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( op(e0,e0) != e0
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
( op(e0,e1) != e1
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f265,plain,
( op(e0,e2) != e2
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,plain,
( op(e0,e3) != e3
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f267,plain,
( ~ sP7_prd
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f269,definition,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f270,plain,
( sP7_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP8_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f269]) ).
fof(f271,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1 )
& ~ sP8_prd )
| sP7_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| sP8_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f270]) ).
fof(f272,plain,
( op(e1,e3) = e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( op(e1,e1) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f274,plain,
( op(e3,e0) != e0
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f275,plain,
( op(e3,e1) != e1
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f276,plain,
( op(e3,e2) != e2
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f277,plain,
( op(e3,e3) != e3
| sP8_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f278,plain,
( ~ sP8_prd
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f279,plain,
( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e1,e1) = e3
| op(e1,e3) != e1
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f280,definition,
( sP9_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f281,plain,
( sP8_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP9_prd ) ),
inference(formula_renaming,[status(thm)],[f269,f280]) ).
fof(f282,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e1,e1) = e2
| op(e1,e2) != e1 )
& ~ sP9_prd )
| sP8_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| sP9_prd
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( op(e1,e2) = e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
( op(e1,e1) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
( op(e2,e0) != e0
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f286,plain,
( op(e2,e1) != e1
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f287,plain,
( op(e2,e2) != e2
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f288,plain,
( op(e2,e3) != e3
| sP9_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f289,plain,
( ~ sP9_prd
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f290,plain,
( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e1,e1) = e2
| op(e1,e2) != e1
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f291,definition,
( sP10_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,plain,
( sP9_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP10_prd ) ),
inference(formula_renaming,[status(thm)],[f280,f291]) ).
fof(f293,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e1,e1) = e1
| op(e1,e1) != e1 )
& ~ sP10_prd )
| sP9_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| sP10_prd
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( op(e1,e1) = e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f295,plain,
( op(e1,e1) != e1
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f296,plain,
( op(e1,e0) != e0
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f298,plain,
( op(e1,e2) != e2
| sP10_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f300,plain,
( ~ sP10_prd
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f302,definition,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f303,plain,
( sP10_prd
<=> ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f291,f302]) ).
fof(f304,plain,
( ( ( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1 )
& ~ sP11_prd )
| sP10_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| sP11_prd
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
( op(e1,e0) = e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( op(e1,e1) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f307,plain,
( op(e0,e0) != e0
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f308,plain,
( op(e0,e1) != e1
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f309,plain,
( op(e0,e2) != e2
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f310,plain,
( op(e0,e3) != e3
| sP11_prd
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f311,plain,
( ~ sP11_prd
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f312,plain,
( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e1,e0) != e1
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f313,definition,
( sP12_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f314,plain,
( sP11_prd
<=> ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP12_prd ) ),
inference(formula_renaming,[status(thm)],[f302,f313]) ).
fof(f315,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0 )
& ~ sP12_prd )
| sP11_prd )
& ( ( op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| sP12_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op(e0,e3) = e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op(e0,e0) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f318,plain,
( op(e3,e0) != e0
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op(e3,e1) != e1
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f320,plain,
( op(e3,e2) != e2
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f321,plain,
( op(e3,e3) != e3
| sP12_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,plain,
( ~ sP12_prd
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f323,plain,
( op(e3,e3) = e3
| op(e3,e2) = e2
| op(e3,e1) = e1
| op(e3,e0) = e0
| op(e0,e0) = e3
| op(e0,e3) != e0
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f324,definition,
( sP13_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f325,plain,
( sP12_prd
<=> ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP13_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f324]) ).
fof(f326,plain,
( ( ( ( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) != e0 )
& ~ sP13_prd )
| sP12_prd )
& ( ( op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| sP13_prd
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( op(e0,e2) = e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op(e0,e0) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f329,plain,
( op(e2,e0) != e0
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
( op(e2,e1) != e1
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f331,plain,
( op(e2,e2) != e2
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f332,plain,
( op(e2,e3) != e3
| sP13_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f333,plain,
( ~ sP13_prd
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f334,plain,
( op(e2,e3) = e3
| op(e2,e2) = e2
| op(e2,e1) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) != e0
| sP12_prd ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f335,definition,
( sP14_prd
<=> ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f336,plain,
( sP13_prd
<=> ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f324,f335]) ).
fof(f337,plain,
( ( ( ( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0 )
& ~ sP14_prd )
| sP13_prd )
& ( ( op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| sP14_prd
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
( op(e0,e1) = e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( op(e0,e0) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
( op(e1,e0) != e0
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f341,plain,
( op(e1,e1) != e1
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f342,plain,
( op(e1,e2) != e2
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f343,plain,
( op(e1,e3) != e3
| sP14_prd
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f344,plain,
( ~ sP14_prd
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f345,plain,
( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e0) = e0
| op(e0,e0) = e1
| op(e0,e1) != e0
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f346,plain,
( ( op(e0,e3) = e3
| op(e0,e2) = e2
| op(e0,e1) = e1
| op(e0,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) != e0
| sP14_prd )
& ( ( op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f347,plain,
( op(e0,e0) = e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f348,plain,
( op(e0,e0) != e0
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,plain,
( op(e0,e1) != e1
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( op(e0,e2) != e2
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,plain,
( op(e0,e3) != e3
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f354,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f354,f357,f360,f363]) ).
fof(f367,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ4_spl
| op(e0,e1) != e0 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f380,f383,f386,f389]) ).
fof(f393,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f393,f396,f399,f402]) ).
fof(f406,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ17_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f406,f409,f412,f415]) ).
fof(f419,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f419,f422,f425,f428]) ).
fof(f432,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f432,f435,f438,f441]) ).
fof(f445,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f445,f448,f451,f454]) ).
fof(f458,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f40,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f512,plain,
( sQ48_spl
| op(e3,e0) != e0 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ51_spl
| op(e3,e0) != e3 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ57_spl
| op(e3,e2) = e1 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ59_spl
| op(e3,e2) != e3 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f45,f549,f552,f555,f558]) ).
fof(f562,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f354,f367,f380,f393]) ).
fof(f563,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f354,f406,f458,f510]) ).
fof(f564,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f357,f370,f383,f396]) ).
fof(f565,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f357,f409,f461,f513]) ).
fof(f566,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f360,f373,f386,f399]) ).
fof(f567,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f360,f412,f464,f516]) ).
fof(f568,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f363,f376,f389,f402]) ).
fof(f569,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f53,f363,f415,f467,f519]) ).
fof(f570,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f54,f406,f419,f432,f445]) ).
fof(f571,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f367,f419,f471,f523]) ).
fof(f572,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f409,f422,f435,f448]) ).
fof(f573,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f370,f422,f474,f526]) ).
fof(f574,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f412,f425,f438,f451]) ).
fof(f575,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f373,f425,f477,f529]) ).
fof(f576,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f415,f428,f441,f454]) ).
fof(f577,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f376,f428,f480,f532]) ).
fof(f578,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f458,f471,f484,f497]) ).
fof(f579,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f380,f432,f484,f536]) ).
fof(f580,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f461,f474,f487,f500]) ).
fof(f581,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f383,f435,f487,f539]) ).
fof(f582,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f464,f477,f490,f503]) ).
fof(f583,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f386,f438,f490,f542]) ).
fof(f584,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f467,f480,f493,f506]) ).
fof(f585,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f389,f441,f493,f545]) ).
fof(f586,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f510,f523,f536,f549]) ).
fof(f587,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f393,f445,f497,f549]) ).
fof(f588,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f513,f526,f539,f552]) ).
fof(f589,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f396,f448,f500,f552]) ).
fof(f590,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f516,f529,f542,f555]) ).
fof(f591,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f399,f451,f503,f555]) ).
fof(f592,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f519,f532,f545,f558]) ).
fof(f593,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f77,f402,f454,f506,f558]) ).
fof(f594,definition,
( sQ64_spl
<=> op(op(e0,e0),e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ64_spl
| op(op(e0,e0),e0) = op(e0,e0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ65_spl
<=> op(op(e1,e0),e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ65_spl
| op(op(e1,e0),e1) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ66_spl
<=> op(op(e2,e0),e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ66_spl
| op(op(e2,e0),e2) = op(e2,e0) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ66_spl
| op(op(e2,e0),e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ67_spl
<=> op(op(e3,e0),e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ67_spl
| op(op(e3,e0),e3) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ67_spl
| op(op(e3,e0),e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f594,f597,f600,f603]) ).
fof(f607,definition,
( sQ68_spl
<=> op(op(e0,e1),e0) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ68_spl
| op(op(e0,e1),e0) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ68_spl
| op(op(e0,e1),e0) != op(e0,e1) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ69_spl
<=> op(op(e1,e1),e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ69_spl
| op(op(e1,e1),e1) = op(e1,e1) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ69_spl
| op(op(e1,e1),e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ70_spl
<=> op(op(e2,e1),e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ70_spl
| op(op(e2,e1),e2) = op(e2,e1) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ71_spl
<=> op(op(e3,e1),e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ71_spl
| op(op(e3,e1),e3) = op(e3,e1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ71_spl
| op(op(e3,e1),e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f135,f607,f610,f613,f616]) ).
fof(f620,definition,
( sQ72_spl
<=> op(op(e0,e2),e0) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ72_spl
| op(op(e0,e2),e0) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ72_spl
| op(op(e0,e2),e0) != op(e0,e2) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ73_spl
<=> op(op(e1,e2),e1) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ73_spl
| op(op(e1,e2),e1) = op(e1,e2) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ74_spl
<=> op(op(e2,e2),e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ74_spl
| op(op(e2,e2),e2) = op(e2,e2) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ75_spl
<=> op(op(e3,e2),e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ75_spl
| op(op(e3,e2),e3) = op(e3,e2) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f136,f620,f623,f626,f629]) ).
fof(f633,definition,
( sQ76_spl
<=> op(op(e0,e3),e0) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ76_spl
| op(op(e0,e3),e0) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ77_spl
<=> op(op(e1,e3),e1) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ77_spl
| op(op(e1,e3),e1) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ78_spl
<=> op(op(e2,e3),e2) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ78_spl
| op(op(e2,e3),e2) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( sQ78_spl
| op(op(e2,e3),e2) != op(e2,e3) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ79_spl
<=> op(op(e3,e3),e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ79_spl
| op(op(e3,e3),e3) = op(e3,e3) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f137,f633,f636,f639,f642]) ).
fof(f646,definition,
( sQ80_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f138,f646,f558]) ).
fof(f650,plain,
( ~ sQ63_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f139,f646,f558]) ).
fof(f651,plain,
( ~ sQ48_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f140,f646,f510]) ).
fof(f652,plain,
( ~ sQ53_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f141,f646,f526]) ).
fof(f653,plain,
( ~ sQ58_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f142,f646,f542]) ).
fof(f655,definition,
( sQ81_spl
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( sQ81_spl
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ82_spl
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ82_spl
| e2 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ82_spl
| ~ sQ61_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f145,f655,f552,f658]) ).
fof(f662,definition,
( sQ83_spl
<=> e0 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ83_spl
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ84_spl
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ84_spl
| e3 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( sQ84_spl
| e3 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f147,f662,f487,f665]) ).
fof(f669,definition,
( sQ85_spl
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ85_spl
| e1 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( sQ85_spl
| e1 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ sQ85_spl
| ~ sQ62_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f149,f655,f555,f669]) ).
fof(f673,definition,
( sQ86_spl
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( sQ86_spl
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ87_spl
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ87_spl
| e3 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( sQ87_spl
| e3 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f151,f673,f425,f676]) ).
fof(f680,definition,
( sQ88_spl
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( sQ88_spl
| e1 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f153,f662,f493,f680]) ).
fof(f684,definition,
( sQ89_spl
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ89_spl
| e2 = op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ89_spl
| e2 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( ~ sQ89_spl
| ~ sQ23_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f155,f673,f428,f684]) ).
fof(f688,definition,
( sQ90_spl
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( sQ90_spl
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ82_spl
| ~ sQ60_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f157,f688,f549,f658]) ).
fof(f692,definition,
( sQ91_spl
<=> e1 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( sQ91_spl
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( ~ sQ84_spl
| ~ sQ40_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f159,f692,f484,f665]) ).
fof(f696,definition,
( sQ92_spl
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ92_spl
| e0 = op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( sQ92_spl
| e0 != op(e3,op(e3,e3)) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ sQ92_spl
| ~ sQ62_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f161,f688,f555,f696]) ).
fof(f700,definition,
( sQ93_spl
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( sQ93_spl
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ94_spl
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( sQ94_spl
| e3 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ sQ94_spl
| ~ sQ2_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f163,f700,f360,f703]) ).
fof(f707,definition,
( sQ95_spl
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ95_spl
| e0 = op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( sQ95_spl
| e0 != op(e2,op(e2,e2)) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ sQ95_spl
| ~ sQ43_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f165,f692,f493,f707]) ).
fof(f711,definition,
( sQ96_spl
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ96_spl
| e2 = op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( sQ96_spl
| e2 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ96_spl
| ~ sQ3_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f167,f700,f363,f711]) ).
fof(f715,definition,
( sQ97_spl
<=> e2 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( sQ97_spl
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ85_spl
| ~ sQ60_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f169,f715,f549,f669]) ).
fof(f719,definition,
( sQ98_spl
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( sQ98_spl
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ87_spl
| ~ sQ20_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f171,f719,f419,f676]) ).
fof(f723,plain,
( ~ sQ92_spl
| ~ sQ61_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f173,f715,f552,f696]) ).
fof(f724,definition,
( sQ99_spl
<=> e2 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ99_spl
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f175,f724,f357,f703]) ).
fof(f728,definition,
( sQ100_spl
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ100_spl
| e0 != op(e1,op(e1,e1)) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ100_spl
| ~ sQ23_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f177,f719,f428,f728]) ).
fof(f732,definition,
( sQ101_spl
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ101_spl
| e1 != op(e0,op(e0,e0)) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( ~ sQ101_spl
| ~ sQ3_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f179,f724,f363,f732]) ).
fof(f736,definition,
( sQ102_spl
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( sQ102_spl
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( ~ sQ88_spl
| ~ sQ40_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f181,f736,f484,f680]) ).
fof(f740,definition,
( sQ103_spl
<=> e3 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ103_spl
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( ~ sQ89_spl
| ~ sQ20_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f183,f740,f419,f684]) ).
fof(f744,plain,
( ~ sQ95_spl
| ~ sQ41_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f185,f736,f487,f707]) ).
fof(f745,definition,
( sQ104_spl
<=> e3 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( sQ104_spl
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f187,f745,f357,f711]) ).
fof(f749,plain,
( ~ sQ100_spl
| ~ sQ22_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f189,f740,f425,f728]) ).
fof(f750,plain,
( ~ sQ101_spl
| ~ sQ2_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f191,f745,f360,f732]) ).
fof(f751,definition,
( sQ105_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ59_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f195,f646,f751,f545]) ).
fof(f755,plain,
( ~ sQ62_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f196,f646,f751,f555]) ).
fof(f756,plain,
( ~ sQ32_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f197,f646,f751,f458]) ).
fof(f757,plain,
( ~ sQ37_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f198,f646,f751,f474]) ).
fof(f758,plain,
( ~ sQ42_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f199,f646,f751,f490]) ).
fof(f759,plain,
( ~ sQ47_spl
| sQ105_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f200,f646,f751,f506]) ).
fof(f760,plain,
( ~ sQ105_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f201,f646,f751]) ).
fof(f762,definition,
( sQ106_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ55_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f206,f751,f762,f532]) ).
fof(f766,plain,
( ~ sQ61_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f207,f751,f762,f552]) ).
fof(f767,plain,
( ~ sQ16_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f208,f751,f762,f406]) ).
fof(f768,plain,
( ~ sQ21_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f209,f751,f762,f422]) ).
fof(f769,plain,
( ~ sQ26_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f210,f751,f762,f438]) ).
fof(f770,plain,
( ~ sQ31_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f211,f751,f762,f454]) ).
fof(f771,plain,
( ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f212,f751,f762]) ).
fof(f773,definition,
( sQ107_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ51_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f217,f762,f773,f519]) ).
fof(f777,plain,
( ~ sQ60_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f218,f762,f773,f549]) ).
fof(f778,plain,
( ~ sQ0_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f219,f762,f773,f354]) ).
fof(f779,plain,
( ~ sQ5_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f220,f762,f773,f370]) ).
fof(f780,plain,
( ~ sQ10_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f221,f762,f773,f386]) ).
fof(f781,plain,
( ~ sQ15_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f222,f762,f773,f402]) ).
fof(f782,plain,
( ~ sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f223,f762,f773]) ).
fof(f784,definition,
( sQ108_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ46_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f228,f773,f784,f503]) ).
fof(f788,plain,
( ~ sQ43_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f229,f773,f784,f493]) ).
fof(f789,plain,
( ~ sQ48_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f230,f773,f784,f510]) ).
fof(f790,plain,
( ~ sQ53_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f231,f773,f784,f526]) ).
fof(f791,plain,
( ~ sQ58_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f232,f773,f784,f542]) ).
fof(f792,plain,
( ~ sQ63_spl
| sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f233,f773,f784,f558]) ).
fof(f793,plain,
( ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f234,f773,f784]) ).
fof(f795,definition,
( sQ109_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f239,f784,f795,f490]) ).
fof(f799,plain,
( ~ sQ42_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f240,f784,f795,f490]) ).
fof(f800,plain,
( ~ sQ32_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f241,f784,f795,f458]) ).
fof(f801,plain,
( ~ sQ37_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f242,f784,f795,f474]) ).
fof(f803,plain,
( ~ sQ47_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f244,f784,f795,f506]) ).
fof(f804,plain,
( ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f245,f784,f795]) ).
fof(f806,definition,
( sQ110_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ38_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f250,f795,f806,f477]) ).
fof(f810,plain,
( ~ sQ41_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f251,f795,f806,f487]) ).
fof(f811,plain,
( ~ sQ16_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f252,f795,f806,f406]) ).
fof(f812,plain,
( ~ sQ21_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f253,f795,f806,f422]) ).
fof(f813,plain,
( ~ sQ26_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f254,f795,f806,f438]) ).
fof(f814,plain,
( ~ sQ31_spl
| sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f255,f795,f806,f454]) ).
fof(f815,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f256,f795,f806]) ).
fof(f816,plain,
( sQ31_spl
| sQ26_spl
| sQ21_spl
| sQ16_spl
| sQ41_spl
| ~ sQ38_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f257,f795,f477,f487,f406,f422,f438,f454]) ).
fof(f817,definition,
( sQ111_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( sQ34_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f261,f806,f817,f464]) ).
fof(f821,plain,
( ~ sQ40_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f262,f806,f817,f484]) ).
fof(f822,plain,
( ~ sQ0_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f263,f806,f817,f354]) ).
fof(f823,plain,
( ~ sQ5_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f264,f806,f817,f370]) ).
fof(f824,plain,
( ~ sQ10_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f265,f806,f817,f386]) ).
fof(f825,plain,
( ~ sQ15_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f266,f806,f817,f402]) ).
fof(f826,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f267,f806,f817]) ).
fof(f828,definition,
( sQ112_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ29_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f272,f817,f828,f448]) ).
fof(f832,plain,
( ~ sQ23_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f273,f817,f828,f428]) ).
fof(f833,plain,
( ~ sQ48_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f274,f817,f828,f510]) ).
fof(f834,plain,
( ~ sQ53_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f275,f817,f828,f526]) ).
fof(f835,plain,
( ~ sQ58_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f276,f817,f828,f542]) ).
fof(f836,plain,
( ~ sQ63_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f277,f817,f828,f558]) ).
fof(f837,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f278,f817,f828]) ).
fof(f838,plain,
( sQ63_spl
| sQ58_spl
| sQ53_spl
| sQ48_spl
| sQ23_spl
| ~ sQ29_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f279,f817,f448,f428,f510,f526,f542,f558]) ).
fof(f839,definition,
( sQ113_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ25_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f283,f828,f839,f435]) ).
fof(f843,plain,
( ~ sQ22_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f284,f828,f839,f425]) ).
fof(f844,plain,
( ~ sQ32_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f285,f828,f839,f458]) ).
fof(f845,plain,
( ~ sQ37_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f286,f828,f839,f474]) ).
fof(f846,plain,
( ~ sQ42_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f287,f828,f839,f490]) ).
fof(f847,plain,
( ~ sQ47_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f288,f828,f839,f506]) ).
fof(f848,plain,
( ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f289,f828,f839]) ).
fof(f849,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ22_spl
| ~ sQ25_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f290,f828,f435,f425,f458,f474,f490,f506]) ).
fof(f850,definition,
( sQ114_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f294,f839,f850,f422]) ).
fof(f854,plain,
( ~ sQ21_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f295,f839,f850,f422]) ).
fof(f855,plain,
( ~ sQ16_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f296,f839,f850,f406]) ).
fof(f857,plain,
( ~ sQ26_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f298,f839,f850,f438]) ).
fof(f859,plain,
( ~ sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f300,f839,f850]) ).
fof(f861,definition,
( sQ115_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ17_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f305,f850,f861,f409]) ).
fof(f865,plain,
( ~ sQ20_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f306,f850,f861,f419]) ).
fof(f866,plain,
( ~ sQ0_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f307,f850,f861,f354]) ).
fof(f867,plain,
( ~ sQ5_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f308,f850,f861,f370]) ).
fof(f868,plain,
( ~ sQ10_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f309,f850,f861,f386]) ).
fof(f869,plain,
( ~ sQ15_spl
| sQ115_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f310,f850,f861,f402]) ).
fof(f870,plain,
( ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f311,f850,f861]) ).
fof(f871,plain,
( sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl
| sQ20_spl
| ~ sQ17_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f312,f850,f409,f419,f354,f370,f386,f402]) ).
fof(f872,definition,
( sQ116_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ12_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f316,f861,f872,f393]) ).
fof(f876,plain,
( ~ sQ3_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f317,f861,f872,f363]) ).
fof(f877,plain,
( ~ sQ48_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f318,f861,f872,f510]) ).
fof(f878,plain,
( ~ sQ53_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f319,f861,f872,f526]) ).
fof(f879,plain,
( ~ sQ58_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f320,f861,f872,f542]) ).
fof(f880,plain,
( ~ sQ63_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f321,f861,f872,f558]) ).
fof(f881,plain,
( ~ sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f322,f861,f872]) ).
fof(f882,plain,
( sQ63_spl
| sQ58_spl
| sQ53_spl
| sQ48_spl
| sQ3_spl
| ~ sQ12_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f323,f861,f393,f363,f510,f526,f542,f558]) ).
fof(f883,definition,
( sQ117_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( sQ8_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f327,f872,f883,f380]) ).
fof(f887,plain,
( ~ sQ2_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f328,f872,f883,f360]) ).
fof(f888,plain,
( ~ sQ32_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f329,f872,f883,f458]) ).
fof(f889,plain,
( ~ sQ37_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f330,f872,f883,f474]) ).
fof(f890,plain,
( ~ sQ42_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f331,f872,f883,f490]) ).
fof(f891,plain,
( ~ sQ47_spl
| sQ117_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f332,f872,f883,f506]) ).
fof(f892,plain,
( ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f333,f872,f883]) ).
fof(f893,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ2_spl
| ~ sQ8_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f334,f872,f380,f360,f458,f474,f490,f506]) ).
fof(f894,definition,
( sQ118_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( sQ4_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f338,f883,f894,f367]) ).
fof(f898,plain,
( ~ sQ1_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f339,f883,f894,f357]) ).
fof(f899,plain,
( ~ sQ16_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f340,f883,f894,f406]) ).
fof(f900,plain,
( ~ sQ21_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f341,f883,f894,f422]) ).
fof(f901,plain,
( ~ sQ26_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f342,f883,f894,f438]) ).
fof(f902,plain,
( ~ sQ31_spl
| sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f343,f883,f894,f454]) ).
fof(f903,plain,
( ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f344,f883,f894]) ).
fof(f904,plain,
( sQ31_spl
| sQ26_spl
| sQ21_spl
| sQ16_spl
| sQ1_spl
| ~ sQ4_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f345,f883,f367,f357,f406,f422,f438,f454]) ).
fof(f905,plain,
( sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f347,f894,f354]) ).
fof(f906,plain,
( ~ sQ0_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f348,f894,f354]) ).
fof(f908,plain,
( ~ sQ5_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f350,f894,f370]) ).
fof(f909,plain,
( ~ sQ10_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f351,f894,f386]) ).
fof(f910,plain,
( ~ sQ15_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f352,f894,f402]) ).
fof(f912,plain,
( ~ sQ30_spl
| op(e0,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f452,f96]) ).
fof(f913,plain,
( ~ sQ30_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f452,f99]) ).
fof(f914,plain,
( ~ sQ14_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f98]) ).
fof(f915,plain,
( ~ sQ14_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f400,f97]) ).
fof(f916,plain,
( ~ sQ30_spl
| e2 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f452,f100]) ).
fof(f917,plain,
( ~ sQ54_spl
| op(e2,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f89]) ).
fof(f918,plain,
( ~ sQ54_spl
| op(e1,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f88]) ).
fof(f919,plain,
( ~ sQ54_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f530,f86]) ).
fof(f920,plain,
( ~ sQ50_spl
| op(e2,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f83]) ).
fof(f921,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f82]) ).
fof(f922,plain,
( ~ sQ50_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f517,f80]) ).
fof(f925,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f397,f400]) ).
fof(f926,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f129]) ).
fof(f927,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f930,plain,
( ~ sQ57_spl
| op(e2,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f95]) ).
fof(f931,plain,
( ~ sQ57_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f94]) ).
fof(f932,plain,
( ~ sQ57_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f540,f92]) ).
fof(f933,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f514,f517]) ).
fof(f934,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f129]) ).
fof(f935,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f498,f501]) ).
fof(f937,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f126]) ).
fof(f938,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( ~ sQ30_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f452,f110]) ).
fof(f940,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f446,f452]) ).
fof(f941,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f940,f127]) ).
fof(f942,plain,
( ~ sQ30_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f941]) ).
fof(f943,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e0 = e1 ),
inference(backward_demodulation,[status(thm)],[f537,f540]) ).
fof(f944,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f943,f126]) ).
fof(f945,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f944]) ).
fof(f946,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e0 = e2 ),
inference(backward_demodulation,[status(thm)],[f524,f530]) ).
fof(f947,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f127]) ).
fof(f948,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f949,plain,
( ~ sQ27_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f442,f113]) ).
fof(f950,plain,
( ~ sQ27_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f111]) ).
fof(f952,plain,
( ~ sQ27_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f442,f93]) ).
fof(f953,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f90]) ).
fof(f954,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f952,f493,f441]) ).
fof(f955,plain,
( ~ sQ11_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f390,f107]) ).
fof(f956,plain,
( ~ sQ11_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f390,f105]) ).
fof(f957,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f390,f103]) ).
fof(f958,plain,
( ~ sQ11_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f390,f91]) ).
fof(f959,plain,
( ~ sQ39_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f481,f118]) ).
fof(f960,plain,
( ~ sQ39_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f481,f117]) ).
fof(f961,plain,
( ~ sQ39_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f481,f114]) ).
fof(f962,plain,
( ~ sQ39_spl
| op(e1,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f481,f87]) ).
fof(f963,plain,
( ~ sQ39_spl
| op(e0,e1) != e3 ),
inference(backward_demodulation,[status(thm)],[f481,f85]) ).
fof(f964,plain,
( ~ sQ35_spl
| e3 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f468,f116]) ).
fof(f965,plain,
( ~ sQ35_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f468,f115]) ).
fof(f966,plain,
( ~ sQ35_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f81]) ).
fof(f967,plain,
( ~ sQ35_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f79]) ).
fof(f968,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f384,f390]) ).
fof(f969,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f130]) ).
fof(f970,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f971,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e1 = e3 ),
inference(backward_demodulation,[status(thm)],[f462,f468]) ).
fof(f972,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f130]) ).
fof(f973,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f974,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f472,f481]) ).
fof(f975,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f128]) ).
fof(f976,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f977,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f377,f106]) ).
fof(f978,plain,
( ~ sQ7_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f377,f102]) ).
fof(f979,plain,
( ~ sQ7_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f377,f84]) ).
fof(f981,plain,
( ~ sQ19_spl
| e3 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f416,f108]) ).
fof(f982,plain,
( ~ sQ19_spl
| op(e0,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f416,f78]) ).
fof(f983,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f374,f377]) ).
fof(f984,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f131]) ).
fof(f985,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f416,f82]) ).
fof(f987,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f413,f416]) ).
fof(f988,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f131]) ).
fof(f989,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( ~ sQ12_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f394,f104]) ).
fof(f1000,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f433,f436]) ).
fof(f1001,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f126]) ).
fof(f1002,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1013,plain,
( ~ sQ51_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f520,f122]) ).
fof(f1014,plain,
( ~ sQ51_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f520,f121]) ).
fof(f1015,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f520,f120]) ).
fof(f1016,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1013,f558,f519]) ).
fof(f1018,plain,
( ~ sQ42_spl
| e2 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f491,f95]) ).
fof(f1019,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f381,f92]) ).
fof(f1021,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f368,f371]) ).
fof(f1022,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f126]) ).
fof(f1023,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f394,f403]) ).
fof(f1025,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f128]) ).
fof(f1026,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f423,f429]) ).
fof(f1028,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f130]) ).
fof(f1029,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( ~ sQ46_spl
| op(e2,e2) != e2 ),
inference(forward_demodulation,[status(thm)],[f504,f119]) ).
fof(f1031,plain,
( ~ sQ38_spl
| e2 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f478,f118]) ).
fof(f1032,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f504,f1031]) ).
fof(f1033,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1032]) ).
fof(f1034,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1035,plain,
( ~ sQ38_spl
| e2 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f478,f117]) ).
fof(f1036,plain,
( ~ sQ38_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f114]) ).
fof(f1037,plain,
( ~ sQ38_spl
| op(e1,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f87]) ).
fof(f1038,plain,
( ~ sQ38_spl
| op(e0,e1) != e2 ),
inference(forward_demodulation,[status(thm)],[f478,f85]) ).
fof(f1040,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f930,f487,f539]) ).
fof(f1041,plain,
( ~ sQ57_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f932,f383,f539]) ).
fof(f1043,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f959,f506,f480]) ).
fof(f1044,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f963,f376,f480]) ).
fof(f1045,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f478,f481]) ).
fof(f1046,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f131]) ).
fof(f1047,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( ~ sQ29_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f449,f112]) ).
fof(f1049,plain,
( ~ sQ29_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f449,f110]) ).
fof(f1051,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f915,f503,f399]) ).
fof(f1052,plain,
( ~ sQ29_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f449,f99]) ).
fof(f1053,plain,
( ~ sQ29_spl
| op(e0,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f449,f96]) ).
fof(f1055,plain,
( ~ sQ8_spl
| e0 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f381,f107]) ).
fof(f1056,plain,
( ~ sQ8_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f381,f105]) ).
fof(f1057,plain,
( ~ sQ8_spl
| op(e0,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f381,f103]) ).
fof(f1058,plain,
( ~ sQ8_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f381,f91]) ).
fof(f1059,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f990,f354,f393]) ).
fof(f1061,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f920,f464,f516]) ).
fof(f1063,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f912,f399,f451]) ).
fof(f1064,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f449,f452]) ).
fof(f1065,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f129]) ).
fof(f1066,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1067,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f520,f986]) ).
fof(f1068,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( ~ sQ55_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f533,f124]) ).
fof(f1071,plain,
( ~ sQ55_spl
| e3 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f533,f123]) ).
fof(f1072,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1070,f558,f532]) ).
fof(f1073,plain,
( ~ sQ59_spl
| e3 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f546,f125]) ).
fof(f1074,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| op(op(e1,e3),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f455,f637]) ).
fof(f1075,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f455,f1074]) ).
fof(f1076,plain,
( ~ sQ75_spl
| ~ sQ59_spl
| op(e3,e3) = op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f546,f630]) ).
fof(f1083,plain,
( sQ92_spl
| ~ sQ75_spl
| ~ sQ59_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f1084,f698]) ).
fof(f1084,plain,
( ~ sQ75_spl
| ~ sQ59_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f546,f1076]) ).
fof(f1094,plain,
( sQ92_spl
| ~ sQ75_spl
| ~ sQ59_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1083,f549,f545,f629,f696]) ).
fof(f1096,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| op(e2,e3) = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f530,f617]) ).
fof(f1098,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| op(e2,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f530,f1096]) ).
fof(f1100,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e1 = e2 ),
inference(backward_demodulation,[status(thm)],[f527,f530]) ).
fof(f1101,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f129]) ).
fof(f1102,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1103,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f967,f363,f467]) ).
fof(f1104,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f978,f363,f376]) ).
fof(f1107,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1019,f536,f380]) ).
fof(f1108,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1055,f393,f380]) ).
fof(f1109,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f1071]) ).
fof(f1110,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1109]) ).
fof(f1111,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1048,f422,f448]) ).
fof(f1113,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1049,f409,f448]) ).
fof(f1114,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1052,f500,f448]) ).
fof(f1115,plain,
( ~ sQ71_spl
| ~ sQ54_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1098,f503,f529,f616]) ).
fof(f1116,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f455,f949]) ).
fof(f1117,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1116]) ).
fof(f1118,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1119,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f953,f389,f441]) ).
fof(f1120,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1018,f542,f490]) ).
fof(f1121,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1015,f532,f519]) ).
fof(f1122,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1030,f490,f503]) ).
fof(f1123,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1056,f367,f380]) ).
fof(f1124,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1057,f354,f380]) ).
fof(f1125,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f921,f412,f516]) ).
fof(f1126,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1036,f464,f477]) ).
fof(f1127,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1073,f558,f545]) ).
fof(f1128,plain,
( ~ sQ77_spl
| ~ sQ31_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1075,f532,f454,f636]) ).
fof(f1130,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| op(op(e1,e1),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f426,f611]) ).
fof(f1132,plain,
( sQ87_spl
| ~ sQ22_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f426,f678]) ).
fof(f1133,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f426,f1130]) ).
fof(f1134,plain,
( ~ sQ17_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f410,f109]) ).
fof(f1135,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| op(op(e1,e0),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f410,f598]) ).
fof(f1136,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1134,f435,f409]) ).
fof(f1137,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f410,f1135]) ).
fof(f1138,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f962,f428,f480]) ).
fof(f1141,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f426,f429]) ).
fof(f1142,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1141,f131]) ).
fof(f1143,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f410,f416]) ).
fof(f1145,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f130]) ).
fof(f1146,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1147,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1014,f545,f519]) ).
fof(f1148,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f950,f428,f441]) ).
fof(f1149,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1035,f490,f477]) ).
fof(f1150,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1058,f484,f380]) ).
fof(f1151,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f955,f402,f389]) ).
fof(f1152,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1038,f373,f477]) ).
fof(f1153,plain,
( ~ sQ28_spl
| op(e1,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f446,f113]) ).
fof(f1154,plain,
( ~ sQ10_spl
| e2 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f387,f90]) ).
fof(f1155,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| op(op(e0,e2),e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f387,f621]) ).
fof(f1156,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1154,f438,f386]) ).
fof(f1157,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f387,f1155]) ).
fof(f1158,plain,
( ~ sQ48_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f80]) ).
fof(f1160,plain,
( ~ sQ67_spl
| ~ sQ48_spl
| op(op(e3,e0),e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f511,f604]) ).
fof(f1161,plain,
( ~ sQ67_spl
| ~ sQ48_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f511,f1160]) ).
fof(f1164,plain,
( ~ sQ28_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f446,f96]) ).
fof(f1165,plain,
( ~ sQ28_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f446,f99]) ).
fof(f1167,plain,
( ~ sQ28_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f446,f110]) ).
fof(f1169,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f472,f118]) ).
fof(f1170,plain,
( ~ sQ36_spl
| e0 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f472,f117]) ).
fof(f1171,plain,
( ~ sQ36_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f472,f114]) ).
fof(f1173,plain,
( ~ sQ36_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f472,f87]) ).
fof(f1175,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| op(op(e2,e1),e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f472,f614]) ).
fof(f1176,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1169,f497,f471]) ).
fof(f1177,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f472,f1175]) ).
fof(f1178,plain,
( ~ sQ28_spl
| op(e1,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f446,f112]) ).
fof(f1180,plain,
( ~ sQ6_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f374,f84]) ).
fof(f1181,plain,
( ~ sQ6_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f374,f102]) ).
fof(f1182,plain,
( ~ sQ6_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f374,f106]) ).
fof(f1183,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| op(op(e0,e1),e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f374,f608]) ).
fof(f1184,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f374,f1183]) ).
fof(f1185,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f1167]) ).
fof(f1186,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1187,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f472,f478]) ).
fof(f1188,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f127]) ).
fof(f1189,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1188]) ).
fof(f1190,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f913,f503,f451]) ).
fof(f1191,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f916,f555,f451]) ).
fof(f1192,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f957,f363,f389]) ).
fof(f1193,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1165,f497,f445]) ).
fof(f1194,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1133,f477,f425,f610]) ).
fof(f1195,plain,
( sQ87_spl
| ~ sQ22_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1132,f441,f425,f676]) ).
fof(f1196,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1037,f425,f477]) ).
fof(f1197,plain,
( ~ sQ30_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f939,f412,f451]) ).
fof(f1198,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1181,f360,f373]) ).
fof(f1199,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1053,f396,f448]) ).
fof(f1200,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1173,f419,f471]) ).
fof(f1201,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1153,f432,f445]) ).
fof(f1202,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1178,f419,f445]) ).
fof(f1204,plain,
( ~ sQ48_spl
| op(e1,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f511,f82]) ).
fof(f1205,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f511,f122]) ).
fof(f1206,plain,
( ~ sQ48_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f511,f121]) ).
fof(f1207,plain,
( ~ sQ48_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f511,f120]) ).
fof(f1208,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f123]) ).
fof(f1210,plain,
( ~ sQ58_spl
| op(e0,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f92]) ).
fof(f1212,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f543,f94]) ).
fof(f1213,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1212,f438,f542]) ).
fof(f1214,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f511,f514]) ).
fof(f1215,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f126]) ).
fof(f1216,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f982,f363,f415]) ).
fof(f1218,plain,
( ~ sQ72_spl
| ~ sQ10_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1157,f464,f386,f620]) ).
fof(f1221,plain,
( ~ sQ5_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f371,f105]) ).
fof(f1223,plain,
( ~ sQ61_spl
| op(e3,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f125]) ).
fof(f1227,plain,
( sQ82_spl
| ~ sQ61_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f553,f660]) ).
fof(f1228,plain,
( sQ81_spl
| ~ sQ61_spl
| e0 != op(e3,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f553,f657]) ).
fof(f1229,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| op(op(e3,e3),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f553,f643]) ).
fof(f1230,plain,
( ~ sQ61_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f124]) ).
fof(f1232,plain,
( ~ sQ61_spl
| op(e2,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f101]) ).
fof(f1233,plain,
( ~ sQ61_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f98]) ).
fof(f1234,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1223,f539,f552]) ).
fof(f1235,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f553,f1229]) ).
fof(f1236,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1233,f396,f552]) ).
fof(f1237,plain,
( ~ sQ33_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f462,f79]) ).
fof(f1238,plain,
( ~ sQ33_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f462,f81]) ).
fof(f1239,plain,
( ~ sQ33_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f462,f115]) ).
fof(f1240,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f462,f116]) ).
fof(f1241,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1240,f500,f461]) ).
fof(f1242,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f964,f506,f467]) ).
fof(f1243,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f979,f428,f376]) ).
fof(f1244,plain,
( ~ sQ79_spl
| ~ sQ61_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1235,f448,f552,f642]) ).
fof(f1245,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1158,f354,f510]) ).
fof(f1246,plain,
( ~ sQ67_spl
| ~ sQ48_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1161,f393,f510,f603]) ).
fof(f1247,plain,
( ~ sQ48_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1204,f406,f510]) ).
fof(f1248,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1207,f523,f510]) ).
fof(f1249,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1180,f425,f373]) ).
fof(f1250,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1239,f487,f461]) ).
fof(f1251,plain,
( sQ82_spl
| ~ sQ61_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1227,f529,f552,f658]) ).
fof(f1252,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f919,f373,f529]) ).
fof(f1256,plain,
( ~ sQ59_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f92]) ).
fof(f1257,plain,
( ~ sQ59_spl
| op(e2,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f95]) ).
fof(f1258,plain,
( ~ sQ59_spl
| op(e1,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f94]) ).
fof(f1260,plain,
( ~ sQ3_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f364,f80]) ).
fof(f1264,plain,
( ~ sQ3_spl
| e3 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f104]) ).
fof(f1268,plain,
( sQ96_spl
| ~ sQ3_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f713]) ).
fof(f1270,plain,
( sQ101_spl
| ~ sQ3_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f364,f734]) ).
fof(f1271,plain,
( sQ96_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1268,f399,f363,f711]) ).
fof(f1272,plain,
( ~ sQ96_spl
| ~ sQ3_spl
| e2 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f364,f712]) ).
fof(f1276,plain,
( ~ sQ16_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f407,f109]) ).
fof(f1277,plain,
( ~ sQ16_spl
| e0 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f407,f108]) ).
fof(f1278,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1276,f432,f406]) ).
fof(f1279,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1277,f419,f406]) ).
fof(f1280,plain,
( ~ sQ65_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1137,f422,f409,f597]) ).
fof(f1281,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(e3,e0) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f364,f595]) ).
fof(f1282,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f364,f1281]) ).
fof(f1283,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f521]) ).
fof(f1284,plain,
( ~ sQ64_spl
| ~ sQ3_spl
| sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1230,f526,f552]) ).
fof(f1287,plain,
( ~ sQ27_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f1258]) ).
fof(f1288,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1293,plain,
( ~ sQ16_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f407,f81]) ).
fof(f1297,plain,
( ~ sQ8_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f381,f90]) ).
fof(f1301,plain,
( ~ sQ41_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f117]) ).
fof(f1302,plain,
( ~ sQ41_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f488,f119]) ).
fof(f1306,plain,
( ~ sQ41_spl
| op(e1,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f93]) ).
fof(f1307,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| op(op(e2,e2),e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f488,f627]) ).
fof(f1309,plain,
( sQ84_spl
| ~ sQ41_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f488,f667]) ).
fof(f1310,plain,
( sQ91_spl
| ~ sQ41_spl
| e1 != op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f488,f694]) ).
fof(f1311,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1306,f435,f487]) ).
fof(f1312,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f488,f1307]) ).
fof(f1313,plain,
( sQ84_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1309,f480,f487,f665]) ).
fof(f1314,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1260,f519,f363]) ).
fof(f1315,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1210,f386,f542]) ).
fof(f1317,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f524,f86]) ).
fof(f1318,plain,
( ~ sQ52_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f524,f124]) ).
fof(f1320,plain,
( ~ sQ52_spl
| op(e1,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f524,f88]) ).
fof(f1322,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1317,f367,f523]) ).
fof(f1323,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1318,f549,f523]) ).
fof(f1324,plain,
( ~ sQ74_spl
| ~ sQ41_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1312,f435,f487,f626]) ).
fof(f1325,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f961,f467,f480]) ).
fof(f1326,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1297,f432,f380]) ).
fof(f1327,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1182,f399,f373]) ).
fof(f1328,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f918,f425,f529]) ).
fof(f1329,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1208,f529,f542]) ).
fof(f1332,plain,
( ~ sQ48_spl
| op(e2,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f511,f83]) ).
fof(f1334,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1332,f458,f510]) ).
fof(f1337,plain,
( ~ sQ20_spl
| op(e0,e1) != e0 ),
inference(backward_demodulation,[status(thm)],[f420,f84]) ).
fof(f1340,plain,
( ~ sQ20_spl
| e0 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f420,f111]) ).
fof(f1342,plain,
( sQ103_spl
| ~ sQ20_spl
| e3 != op(e1,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f420,f742]) ).
fof(f1344,plain,
( sQ89_spl
| ~ sQ20_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f420,f686]) ).
fof(f1345,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1340,f432,f419]) ).
fof(f1346,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1257,f493,f545]) ).
fof(f1347,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1221,f383,f370]) ).
fof(f1348,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1205,f549,f510]) ).
fof(f1350,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f917,f477,f529]) ).
fof(f1351,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f965,f493,f467]) ).
fof(f1352,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f977,f402,f376]) ).
fof(f1353,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1264,f402,f363]) ).
fof(f1355,plain,
( sQ101_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1270,f396,f363,f732]) ).
fof(f1356,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1302,f500,f487]) ).
fof(f1358,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1301,f474,f487]) ).
fof(f1359,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f914,f555,f399]) ).
fof(f1360,plain,
( sQ89_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1344,f412,f419,f684]) ).
fof(f1361,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1237,f357,f461]) ).
fof(f1362,plain,
( ~ sQ70_spl
| ~ sQ36_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1177,f380,f471,f613]) ).
fof(f1363,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1293,f458,f406]) ).
fof(f1364,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f958,f493,f389]) ).
fof(f1365,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1171,f458,f471]) ).
fof(f1366,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f981,f428,f415]) ).
fof(f1367,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1256,f389,f545]) ).
fof(f1368,plain,
( ~ sQ61_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1232,f500,f552]) ).
fof(f1370,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1320,f419,f523]) ).
fof(f1371,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1164,f393,f445]) ).
fof(f1372,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f922,f360,f516]) ).
fof(f1375,plain,
( ~ sQ53_spl
| op(e2,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f89]) ).
fof(f1376,plain,
( ~ sQ53_spl
| op(e1,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f88]) ).
fof(f1377,plain,
( ~ sQ53_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f120]) ).
fof(f1379,plain,
( ~ sQ53_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f527,f86]) ).
fof(f1380,plain,
( ~ sQ53_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f527,f123]) ).
fof(f1386,plain,
( ~ sQ4_spl
| op(e0,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f368,f102]) ).
fof(f1388,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| op(op(e0,e1),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f368,f608]) ).
fof(f1389,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f368,f106]) ).
fof(f1390,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1386,f354,f367]) ).
fof(f1391,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f368,f1388]) ).
fof(f1394,plain,
( ~ sQ41_spl
| op(e0,e2) != e1 ),
inference(backward_demodulation,[status(thm)],[f488,f91]) ).
fof(f1399,plain,
( sQ95_spl
| ~ sQ41_spl
| e0 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f488,f709]) ).
fof(f1406,plain,
( ~ sQ61_spl
| op(e3,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f122]) ).
fof(f1413,plain,
( ~ sQ61_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f553,f100]) ).
fof(f1414,plain,
( sQ91_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f478,f1310]) ).
fof(f1422,plain,
( sQ91_spl
| ~ sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1414,f487,f477,f692]) ).
fof(f1425,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1170,f484,f471]) ).
fof(f1426,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1379,f370,f526]) ).
fof(f1427,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1376,f422,f526]) ).
fof(f1429,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1413,f448,f552]) ).
fof(f1435,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f355,f78]) ).
fof(f1450,plain,
( sQ91_spl
| ~ sQ40_spl
| e1 != op(e2,op(e2,e0)) ),
inference(backward_demodulation,[status(thm)],[f485,f694]) ).
fof(f1456,plain,
( sQ102_spl
| ~ sQ40_spl
| e3 != op(e2,op(e2,e0)) ),
inference(forward_demodulation,[status(thm)],[f485,f738]) ).
fof(f1458,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f485,f119]) ).
fof(f1460,plain,
( ~ sQ40_spl
| op(e2,e0) != e0 ),
inference(forward_demodulation,[status(thm)],[f485,f115]) ).
fof(f1463,plain,
( sQ102_spl
| ~ sQ40_spl
| ~ sQ33_spl
| e3 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f462,f1456]) ).
fof(f1465,plain,
( ~ sQ33_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f462,f83]) ).
fof(f1467,plain,
( ~ sQ66_spl
| ~ sQ33_spl
| op(op(e2,e0),e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f462,f601]) ).
fof(f1469,plain,
( sQ102_spl
| ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1463,f480,f461,f484,f736]) ).
fof(f1470,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1465,f513,f461]) ).
fof(f1471,plain,
( ~ sQ66_spl
| ~ sQ33_spl
| op(e1,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f462,f1467]) ).
fof(f1472,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f931,f435,f539]) ).
fof(f1473,plain,
( sQ95_spl
| ~ sQ41_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1399,f471,f487,f707]) ).
fof(f1477,plain,
( sQ97_spl
| ~ sQ60_spl
| e2 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f550,f717]) ).
fof(f1478,plain,
( sQ90_spl
| ~ sQ60_spl
| e1 != op(e3,op(e3,e0)) ),
inference(backward_demodulation,[status(thm)],[f550,f690]) ).
fof(f1480,plain,
( ~ sQ60_spl
| op(e2,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f101]) ).
fof(f1482,plain,
( ~ sQ60_spl
| op(e3,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f550,f125]) ).
fof(f1489,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f465,f81]) ).
fof(f1490,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(e2,e2) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f465,f601]) ).
fof(f1492,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| e2 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1493,f95]) ).
fof(f1493,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f465,f1490]) ).
fof(f1494,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1492,f542,f464,f600]) ).
fof(f1496,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f966,f415,f467]) ).
fof(f1497,plain,
( ~ sQ92_spl
| ~ sQ60_spl
| e0 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f697]) ).
fof(f1498,plain,
( ~ sQ92_spl
| ~ sQ60_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f512]) ).
fof(f1499,plain,
( ~ sQ92_spl
| ~ sQ60_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( sQ82_spl
| ~ sQ60_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f660]) ).
fof(f1501,plain,
( sQ85_spl
| ~ sQ60_spl
| e1 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f671]) ).
fof(f1503,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1460,f458,f484]) ).
fof(f1505,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1206,f536,f510]) ).
fof(f1507,plain,
( ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1337,f367,f419]) ).
fof(f1508,plain,
( ~ sQ68_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1391,f354,f367,f607]) ).
fof(f1509,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1389,f393,f367]) ).
fof(f1511,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1406,f513,f552]) ).
fof(f1512,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1480,f497,f549]) ).
fof(f1513,plain,
( sQ85_spl
| ~ sQ60_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1501,f513,f549,f669]) ).
fof(f1514,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1377,f513,f526]) ).
fof(f1516,plain,
( ~ sQ1_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f358,f80]) ).
fof(f1517,plain,
( ~ sQ1_spl
| e1 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f102]) ).
fof(f1518,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1516,f513,f357]) ).
fof(f1519,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1517,f370,f357]) ).
fof(f1520,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1394,f383,f487]) ).
fof(f1523,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1489,f412,f464]) ).
fof(f1524,plain,
( ~ sQ66_spl
| ~ sQ34_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1493,f490,f464,f600]) ).
fof(f1527,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| op(e1,e0) = op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f358,f595]) ).
fof(f1528,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f358,f1527]) ).
fof(f1536,plain,
( sQ97_spl
| ~ sQ61_spl
| e2 != op(e3,op(e3,e1)) ),
inference(backward_demodulation,[status(thm)],[f553,f717]) ).
fof(f1539,plain,
( sQ92_spl
| ~ sQ61_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f553,f698]) ).
fof(f1541,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f530,f1228]) ).
fof(f1574,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f423,f87]) ).
fof(f1579,plain,
( ~ sQ21_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f423,f111]) ).
fof(f1582,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f423,f108]) ).
fof(f1597,plain,
( ~ sQ34_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f465,f79]) ).
fof(f1598,plain,
( ~ sQ34_spl
| e2 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f465,f115]) ).
fof(f1599,plain,
( ~ sQ34_spl
| e2 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f465,f116]) ).
fof(f1600,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1597,f360,f464]) ).
fof(f1601,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1599,f503,f464]) ).
fof(f1605,plain,
( sQ82_spl
| ~ sQ60_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1500,f516,f549,f658]) ).
fof(f1616,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f384,f90]) ).
fof(f1619,plain,
( sQ84_spl
| ~ sQ40_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f667]) ).
fof(f1621,plain,
( sQ88_spl
| ~ sQ40_spl
| e1 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f485,f682]) ).
fof(f1627,plain,
( sQ84_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1619,f467,f484,f665]) ).
fof(f1634,plain,
( ~ sQ26_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f439,f109]) ).
fof(f1636,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| op(op(e1,e2),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f439,f624]) ).
fof(f1637,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f439,f1636]) ).
fof(f1671,plain,
( sQ66_spl
| ~ sQ35_spl
| op(op(e2,e0),e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f468,f602]) ).
fof(f1673,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f468,f1450]) ).
fof(f1674,plain,
( sQ66_spl
| ~ sQ35_spl
| op(e3,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f468,f1671]) ).
fof(f1675,plain,
( sQ66_spl
| ~ sQ35_spl
| ~ sQ59_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f546,f1674]) ).
fof(f1676,plain,
( sQ66_spl
| ~ sQ35_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1675]) ).
fof(f1677,plain,
( sQ66_spl
| ~ sQ35_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( sQ91_spl
| ~ sQ40_spl
| ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1673,f500,f467,f484,f692]) ).
fof(f1689,plain,
( sQ92_spl
| ~ sQ61_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1539,f523,f552,f696]) ).
fof(f1701,plain,
( ~ sQ17_spl
| op(e0,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f410,f78]) ).
fof(f1756,plain,
( ~ sQ23_spl
| e3 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f429,f112]) ).
fof(f1757,plain,
( sQ86_spl
| ~ sQ23_spl
| e0 != op(e1,op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f429,f675]) ).
fof(f1759,plain,
( sQ98_spl
| ~ sQ23_spl
| e2 != op(e1,op(e1,e3)) ),
inference(backward_demodulation,[status(thm)],[f429,f721]) ).
fof(f1761,plain,
( sQ100_spl
| ~ sQ23_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f429,f730]) ).
fof(f1766,plain,
( sQ89_spl
| ~ sQ23_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f429,f686]) ).
fof(f1767,plain,
( sQ89_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1766,f451,f428,f684]) ).
fof(f1768,plain,
( ~ sQ89_spl
| ~ sQ23_spl
| e2 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f429,f685]) ).
fof(f1790,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| op(op(e0,e3),e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f403,f634]) ).
fof(f1791,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f403,f1790]) ).
fof(f1801,plain,
( sQ97_spl
| ~ sQ61_spl
| ~ sQ52_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f524,f1536]) ).
fof(f1805,plain,
( sQ97_spl
| ~ sQ61_spl
| ~ sQ52_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1801,f516,f523,f552,f715]) ).
fof(f1811,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1528,f409,f357,f594]) ).
fof(f1812,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1574,f474,f422]) ).
fof(f1813,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1579,f435,f422]) ).
fof(f1815,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1482,f536,f549]) ).
fof(f1816,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1435,f406,f354]) ).
fof(f1818,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1756,f454,f428]) ).
fof(f1820,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1375,f474,f526]) ).
fof(f1821,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1380,f539,f526]) ).
fof(f1822,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1238,f409,f461]) ).
fof(f1824,plain,
( ~ sQ66_spl
| ~ sQ33_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1471,f435,f461,f600]) ).
fof(f1825,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1598,f490,f464]) ).
fof(f1826,plain,
( ~ sQ73_spl
| ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1637,f477,f438,f623]) ).
fof(f1834,plain,
( sQ103_spl
| ~ sQ20_spl
| e3 != op(e1,op(e1,e0)) ),
inference(backward_demodulation,[status(thm)],[f420,f742]) ).
fof(f1857,plain,
( ~ sQ47_spl
| op(e1,e3) != e3 ),
inference(backward_demodulation,[status(thm)],[f507,f99]) ).
fof(f1862,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| op(op(e2,e3),e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f507,f640]) ).
fof(f1863,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f507,f1862]) ).
fof(f1871,plain,
( sQ83_spl
| ~ sQ41_spl
| e0 != op(e2,op(e2,e1)) ),
inference(backward_demodulation,[status(thm)],[f488,f664]) ).
fof(f1875,plain,
( sQ93_spl
| ~ sQ3_spl
| e1 != op(e0,op(e0,e3)) ),
inference(forward_demodulation,[status(thm)],[f364,f702]) ).
fof(f1897,plain,
( sQ87_spl
| ~ sQ20_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f420,f678]) ).
fof(f1898,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| op(e0,e1) = op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f420,f611]) ).
fof(f1899,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f420,f1898]) ).
fof(f1900,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1899,f369]) ).
fof(f1901,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1900]) ).
fof(f1930,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(backward_demodulation,[status(thm)],[f514,f82]) ).
fof(f1938,plain,
( sQ97_spl
| ~ sQ60_spl
| ~ sQ49_spl
| e2 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f514,f1477]) ).
fof(f1947,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| op(op(e1,e2),e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f442,f624]) ).
fof(f1949,plain,
( ~ sQ27_spl
| op(e1,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f442,f109]) ).
fof(f1950,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| op(e3,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f442,f1947]) ).
fof(f1959,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ14_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f400,f1875]) ).
fof(f1976,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ18_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f413,f1342]) ).
fof(f1981,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1976,f441,f412,f419,f740]) ).
fof(f1985,plain,
( ~ sQ5_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f371,f106]) ).
fof(f1990,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| op(e0,e2) = op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f459,f601]) ).
fof(f2008,plain,
( ~ sQ85_spl
| ~ sQ60_spl
| e1 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f550,f670]) ).
fof(f2011,plain,
( ~ sQ89_spl
| ~ sQ20_spl
| e2 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f420,f685]) ).
fof(f2018,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| op(e0,e3) = op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f550,f643]) ).
fof(f2019,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| op(e0,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f550,f2018]) ).
fof(f2021,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| e3 = op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f488,f666]) ).
fof(f2022,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f478,f2021]) ).
fof(f2023,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f131]) ).
fof(f2024,plain,
( ~ sQ84_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2023]) ).
fof(f2028,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| op(e1,e3) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f514,f604]) ).
fof(f2029,plain,
( ~ sQ77_spl
| ~ sQ67_spl
| ~ sQ49_spl
| op(op(e1,e3),e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f2031,f637]) ).
fof(f2031,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f514,f2028]) ).
fof(f2032,plain,
( ~ sQ77_spl
| ~ sQ67_spl
| ~ sQ49_spl
| op(e1,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f2031,f2029]) ).
fof(f2036,plain,
( sQ67_spl
| ~ sQ49_spl
| op(e1,e3) != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f514,f605]) ).
fof(f2037,plain,
( sQ67_spl
| ~ sQ49_spl
| op(e1,e3) != e1 ),
inference(forward_demodulation,[status(thm)],[f514,f2036]) ).
fof(f2046,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| e3 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f2011,f1834]) ).
fof(f2047,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| ~ sQ27_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f442,f2046]) ).
fof(f2048,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2047]) ).
fof(f2049,plain,
( sQ103_spl
| ~ sQ20_spl
| ~ sQ89_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2048]) ).
fof(f2060,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| op(e3,e3) = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f533,f617]) ).
fof(f2065,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| op(e1,e0) = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f608]) ).
fof(f2066,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f371,f2065]) ).
fof(f2067,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2066,f1930]) ).
fof(f2068,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2067]) ).
fof(f2079,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| e2 = e3 ),
inference(backward_demodulation,[status(thm)],[f361,f364]) ).
fof(f2080,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f131]) ).
fof(f2081,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2083,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1701,f357,f409]) ).
fof(f2089,plain,
( sQ94_spl
| ~ sQ2_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f361,f705]) ).
fof(f2090,plain,
( sQ93_spl
| ~ sQ2_spl
| e1 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f361,f702]) ).
fof(f2093,plain,
( ~ sQ2_spl
| e2 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f361,f78]) ).
fof(f2102,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1863,f545,f506,f639]) ).
fof(f2103,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f956,f376,f389]) ).
fof(f2105,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| op(e0,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f459,f1990]) ).
fof(f2107,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1857,f454,f506]) ).
fof(f2108,plain,
( sQ101_spl
| ~ sQ2_spl
| e1 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f361,f734]) ).
fof(f2113,plain,
( sQ87_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1897,f415,f419,f676]) ).
fof(f2114,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1791,f519,f402,f633]) ).
fof(f2140,plain,
( ~ sQ43_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f119]) ).
fof(f2153,plain,
( ~ sQ44_spl
| op(e0,e3) != e0 ),
inference(backward_demodulation,[status(thm)],[f498,f97]) ).
fof(f2155,plain,
( sQ78_spl
| ~ sQ44_spl
| op(op(e2,e3),e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f498,f641]) ).
fof(f2159,plain,
( sQ78_spl
| ~ sQ44_spl
| op(e0,e2) != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f2155]) ).
fof(f2160,plain,
( sQ78_spl
| ~ sQ44_spl
| ~ sQ8_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f381,f2159]) ).
fof(f2161,plain,
( sQ78_spl
| ~ sQ44_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2160]) ).
fof(f2162,plain,
( sQ78_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2161]) ).
fof(f2163,plain,
( ~ sQ77_spl
| ~ sQ67_spl
| ~ sQ49_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2032,f422,f513,f603,f636]) ).
fof(f2165,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2140,f506,f493]) ).
fof(f2169,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f124]) ).
fof(f2170,plain,
( ~ sQ71_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2172,plain,
( sQ91_spl
| ~ sQ43_spl
| e1 != op(e2,op(e2,e3)) ),
inference(forward_demodulation,[status(thm)],[f494,f694]) ).
fof(f2173,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| op(e3,e2) = op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f494,f627]) ).
fof(f2174,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| op(e3,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f494,f2173]) ).
fof(f2175,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2174,f547]) ).
fof(f2176,plain,
( ~ sQ74_spl
| ~ sQ43_spl
| sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2175]) ).
fof(f2188,plain,
( sQ66_spl
| ~ sQ33_spl
| op(e1,e2) != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f462,f602]) ).
fof(f2189,plain,
( sQ66_spl
| ~ sQ33_spl
| op(e1,e2) != e1 ),
inference(forward_demodulation,[status(thm)],[f462,f2188]) ).
fof(f2202,plain,
( ~ sQ52_spl
| op(e0,e1) != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f86]) ).
fof(f2219,plain,
( sQ71_spl
| ~ sQ52_spl
| op(e0,e3) != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f524,f618]) ).
fof(f2220,plain,
( sQ71_spl
| ~ sQ52_spl
| op(e0,e3) != e0 ),
inference(forward_demodulation,[status(thm)],[f524,f2219]) ).
fof(f2244,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f498,f2172]) ).
fof(f2245,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f462,f2244]) ).
fof(f2246,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2245]) ).
fof(f2247,plain,
( sQ91_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2246]) ).
fof(f2252,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1634,f412,f438]) ).
fof(f2255,plain,
( sQ101_spl
| ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2108,f383,f360,f732]) ).
fof(f2257,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2093,f412,f360]) ).
fof(f2260,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2153,f393,f497]) ).
fof(f2264,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1616,f435,f383]) ).
fof(f2267,plain,
( sQ95_spl
| ~ sQ43_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f494,f709]) ).
fof(f2268,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f2267]) ).
fof(f2269,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2268]) ).
fof(f2270,plain,
( sQ95_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2269]) ).
fof(f2276,plain,
( sQ88_spl
| ~ sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1621,f461,f484,f680]) ).
fof(f2287,plain,
( ~ sQ68_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2066,f409,f370,f607]) ).
fof(f2291,plain,
( sQ100_spl
| ~ sQ23_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1761,f445,f428,f728]) ).
fof(f2321,plain,
( sQ102_spl
| ~ sQ95_spl
| e3 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f708,f738]) ).
fof(f2322,plain,
( sQ83_spl
| ~ sQ95_spl
| e0 != op(e2,e0) ),
inference(backward_demodulation,[status(thm)],[f708,f664]) ).
fof(f2324,plain,
( sQ83_spl
| ~ sQ95_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2322,f458,f707,f662]) ).
fof(f2326,plain,
( sQ86_spl
| ~ sQ87_spl
| e0 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f677,f675]) ).
fof(f2327,plain,
( sQ98_spl
| ~ sQ87_spl
| e2 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f677,f721]) ).
fof(f2328,plain,
( sQ86_spl
| ~ sQ87_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2326,f445,f676,f673]) ).
fof(f2342,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ96_spl
| e1 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f1272,f1875]) ).
fof(f2377,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| op(op(e1,e0),e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f413,f598]) ).
fof(f2382,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| op(e2,e1) = e2 ),
inference(forward_demodulation,[status(thm)],[f413,f2377]) ).
fof(f2402,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| op(op(e0,e2),e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f381,f621]) ).
fof(f2403,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| op(e0,e0) = e0 ),
inference(forward_demodulation,[status(thm)],[f381,f2402]) ).
fof(f2414,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ28_spl
| e2 != op(e1,e0) ),
inference(backward_demodulation,[status(thm)],[f446,f1759]) ).
fof(f2421,plain,
( sQ98_spl
| ~ sQ23_spl
| ~ sQ28_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2414,f412,f445,f428,f719]) ).
fof(f2426,plain,
( ~ sQ85_spl
| ~ sQ60_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2008,f513,f549,f669]) ).
fof(f2433,plain,
( ~ sQ5_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f85]) ).
fof(f2439,plain,
( sQ68_spl
| ~ sQ5_spl
| op(e1,e0) != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f371,f609]) ).
fof(f2440,plain,
( sQ68_spl
| ~ sQ5_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f371,f2439]) ).
fof(f2444,plain,
( ~ sQ3_spl
| ~ sQ72_spl
| ~ sQ8_spl
| e0 = e3 ),
inference(backward_demodulation,[status(thm)],[f2403,f364]) ).
fof(f2445,plain,
( ~ sQ3_spl
| ~ sQ72_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2444,f128]) ).
fof(f2446,plain,
( ~ sQ3_spl
| ~ sQ72_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2445]) ).
fof(f2503,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ50_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f517,f1478]) ).
fof(f2506,plain,
( sQ90_spl
| ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2503,f539,f516,f549,f688]) ).
fof(f2510,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1458,f497,f484]) ).
fof(f2512,plain,
( sQ67_spl
| ~ sQ49_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2037,f448,f513,f603]) ).
fof(f2515,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1949,f415,f441]) ).
fof(f2519,plain,
( ~ sQ66_spl
| ~ sQ32_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2105,f380,f458,f600]) ).
fof(f2520,plain,
( sQ68_spl
| ~ sQ5_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2440,f409,f370,f607]) ).
fof(f2521,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2433,f474,f370]) ).
fof(f2522,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1985,f396,f370]) ).
fof(f2525,plain,
( sQ81_spl
| ~ sQ61_spl
| ~ sQ54_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1541,f536,f529,f552,f655]) ).
fof(f2564,plain,
( sQ72_spl
| ~ sQ11_spl
| op(op(e0,e2),e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f390,f622]) ).
fof(f2570,plain,
( sQ72_spl
| ~ sQ11_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f390,f2564]) ).
fof(f2577,plain,
( ~ sQ1_spl
| e1 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f358,f104]) ).
fof(f2579,plain,
( sQ94_spl
| ~ sQ1_spl
| e3 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f358,f705]) ).
fof(f2580,plain,
( sQ99_spl
| ~ sQ1_spl
| e2 != op(e0,op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f358,f726]) ).
fof(f2587,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| op(e0,e1) = op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f433,f624]) ).
fof(f2592,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f2595,f86]) ).
fof(f2595,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f433,f2587]) ).
fof(f2598,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ84_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f2021,f1871]) ).
fof(f2599,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ84_spl
| ~ sQ44_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f498,f2598]) ).
fof(f2600,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ84_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2599]) ).
fof(f2601,plain,
( sQ83_spl
| ~ sQ41_spl
| ~ sQ84_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2606,plain,
( sQ66_spl
| ~ sQ33_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2189,f435,f461,f600]) ).
fof(f2609,plain,
( sQ94_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2089,f389,f360,f703]) ).
fof(f2610,plain,
( sQ93_spl
| ~ sQ2_spl
| ~ sQ11_spl
| e1 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f390,f2090]) ).
fof(f2630,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| op(e1,e3) = op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f527,f617]) ).
fof(f2634,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| op(e0,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f2637,f96]) ).
fof(f2637,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f527,f2630]) ).
fof(f2640,plain,
( ~ sQ71_spl
| ~ sQ53_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2634,f396,f526,f616]) ).
fof(f2651,plain,
( sQ100_spl
| ~ sQ22_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f426,f730]) ).
fof(f2658,plain,
( ~ sQ39_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f481,f89]) ).
fof(f2691,plain,
( ~ sQ13_spl
| sQ93_spl
| ~ sQ2_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f2610]) ).
fof(f2692,plain,
( ~ sQ13_spl
| sQ93_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2694,plain,
( ~ sQ67_spl
| ~ sQ49_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2031,f448,f513,f603]) ).
fof(f2697,plain,
( sQ98_spl
| ~ sQ87_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2327,f451,f676,f719]) ).
fof(f2698,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2577,f396,f357]) ).
fof(f2699,plain,
( ~ sQ51_spl
| sQ72_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f2570]) ).
fof(f2700,plain,
( ~ sQ51_spl
| sQ72_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2699]) ).
fof(f2701,plain,
( sQ71_spl
| ~ sQ52_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2220,f393,f523,f616]) ).
fof(f2717,plain,
( sQ104_spl
| ~ sQ1_spl
| e3 != op(e0,op(e0,e1)) ),
inference(backward_demodulation,[status(thm)],[f358,f747]) ).
fof(f2725,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e3 != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f374,f2717]) ).
fof(f2726,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ11_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f390,f2725]) ).
fof(f2727,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2726]) ).
fof(f2728,plain,
( sQ104_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2727]) ).
fof(f2732,plain,
( sQ96_spl
| ~ sQ1_spl
| e2 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f358,f713]) ).
fof(f2733,plain,
( sQ96_spl
| ~ sQ1_spl
| ~ sQ6_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f374,f2732]) ).
fof(f2734,plain,
( sQ96_spl
| ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2733]) ).
fof(f2735,plain,
( sQ96_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2734]) ).
fof(f2738,plain,
( sQ94_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2579,f376,f357,f703]) ).
fof(f2749,plain,
( ~ sQ62_spl
| op(e2,e3) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f101]) ).
fof(f2753,plain,
( sQ90_spl
| ~ sQ62_spl
| e1 != op(e3,op(e3,e2)) ),
inference(backward_demodulation,[status(thm)],[f556,f690]) ).
fof(f2757,plain,
( ~ sQ62_spl
| op(e3,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f556,f125]) ).
fof(f2804,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| op(op(e3,e0),e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f520,f604]) ).
fof(f2808,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| op(e3,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f520,f2804]) ).
fof(f2809,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f556,f2808]) ).
fof(f2810,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2809,f131]) ).
fof(f2811,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2810]) ).
fof(f2815,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| op(e0,e1) = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f407,f598]) ).
fof(f2816,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| op(e0,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f407,f2815]) ).
fof(f2817,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2816,f2202]) ).
fof(f2818,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2817]) ).
fof(f2832,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f377,f86]) ).
fof(f2837,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ7_spl
| e2 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f377,f2580]) ).
fof(f2839,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2832,f532,f376]) ).
fof(f2842,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2382,f477,f412,f597]) ).
fof(f2843,plain,
( sQ102_spl
| ~ sQ95_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2321,f467,f707,f736]) ).
fof(f2845,plain,
( ~ sQ68_spl
| ~ sQ6_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1184,f464,f373,f607]) ).
fof(f2847,plain,
( ~ sQ72_spl
| ~ sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2403,f354,f380,f620]) ).
fof(f2851,plain,
( ~ sQ79_spl
| ~ sQ60_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2019,f393,f549,f642]) ).
fof(f2852,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2816,f367,f406,f597]) ).
fof(f2853,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f960,f493,f480]) ).
fof(f2854,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2658,f532,f480]) ).
fof(f2855,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2757,f542,f555]) ).
fof(f2856,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2749,f503,f555]) ).
fof(f2857,plain,
( sQ99_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2837,f399,f376,f357,f724]) ).
fof(f2858,plain,
( ~ sQ67_spl
| ~ sQ51_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2808,f558,f519,f603]) ).
fof(f2859,plain,
( sQ97_spl
| ~ sQ60_spl
| ~ sQ49_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1938,f529,f513,f549,f715]) ).
fof(f2861,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ96_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2342,f383,f711,f363,f700]) ).
fof(f2862,plain,
( sQ93_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1959,f383,f399,f363,f700]) ).
fof(f2863,plain,
( sQ100_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2651,f432,f425,f728]) ).
fof(f2977,plain,
( sQ104_spl
| ~ sQ2_spl
| e3 != op(e0,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f361,f747]) ).
fof(f2978,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ9_spl
| e3 != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f384,f2977]) ).
fof(f2995,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ89_spl
| e0 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f1768,f1757]) ).
fof(f2996,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ89_spl
| ~ sQ24_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f433,f2995]) ).
fof(f2997,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ89_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2996]) ).
fof(f2998,plain,
( sQ86_spl
| ~ sQ23_spl
| ~ sQ89_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2997]) ).
fof(f3023,plain,
( ~ sQ22_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f426,f108]) ).
fof(f3042,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f475,f118]) ).
fof(f3074,plain,
( sQ103_spl
| ~ sQ22_spl
| e3 != op(e1,op(e1,e2)) ),
inference(forward_demodulation,[status(thm)],[f426,f742]) ).
fof(f3075,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| e3 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f433,f3074]) ).
fof(f3076,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f416,f3075]) ).
fof(f3077,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3076]) ).
fof(f3078,plain,
( sQ103_spl
| ~ sQ22_spl
| ~ sQ24_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3149,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| op(e1,e0) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f384,f621]) ).
fof(f3150,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ19_spl
| e3 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f416,f3149]) ).
fof(f3151,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ19_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f384,f3150]) ).
fof(f3152,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f130]) ).
fof(f3153,plain,
( ~ sQ72_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3210,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e1 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f537,f2753]) ).
fof(f3215,plain,
( sQ90_spl
| ~ sQ62_spl
| ~ sQ56_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3210,f513,f536,f555,f688]) ).
fof(f3216,plain,
( sQ92_spl
| ~ sQ62_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f698]) ).
fof(f3217,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f537,f3216]) ).
fof(f3218,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3217]) ).
fof(f3219,plain,
( sQ92_spl
| ~ sQ62_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3218]) ).
fof(f3227,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3023,f412,f425]) ).
fof(f3232,plain,
( ~ sQ73_spl
| ~ sQ27_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1950,f532,f441,f623]) ).
fof(f3234,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2592,f523,f432,f623]) ).
fof(f3235,plain,
( ~ sQ73_spl
| ~ sQ24_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2595,f367,f432,f623]) ).
fof(f3252,plain,
( sQ81_spl
| ~ sQ62_spl
| e0 != op(e3,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f556,f657]) ).
fof(f3318,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f540,f3252]) ).
fof(f3319,plain,
( sQ81_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3318,f523,f539,f555,f655]) ).
fof(f3320,plain,
( sQ85_spl
| ~ sQ62_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f556,f671]) ).
fof(f3321,plain,
( sQ85_spl
| ~ sQ62_spl
| ~ sQ57_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f540,f3320]) ).
fof(f3322,plain,
( sQ85_spl
| ~ sQ62_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3321]) ).
fof(f3323,plain,
( sQ85_spl
| ~ sQ62_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3322]) ).
fof(f3328,plain,
( sQ104_spl
| ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2978,f376,f383,f360,f745]) ).
fof(f3334,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1930,f409,f513]) ).
fof(f3337,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1582,f409,f422]) ).
fof(f3354,plain,
( sQ69_spl
| ~ sQ21_spl
| op(op(e1,e1),e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f423,f612]) ).
fof(f3361,plain,
( sQ69_spl
| ~ sQ21_spl
| op(e1,e1) != e1 ),
inference(forward_demodulation,[status(thm)],[f423,f3354]) ).
fof(f3362,plain,
( sQ69_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f423,f3361]) ).
fof(f3363,plain,
( sQ69_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3362]) ).
fof(f3364,plain,
( sQ69_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3363]) ).
fof(f3365,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3042,f500,f474]) ).
fof(f3386,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| op(op(e3,e2),e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f540,f630]) ).
fof(f3393,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| op(e1,e3) = e1 ),
inference(forward_demodulation,[status(thm)],[f540,f3386]) ).
fof(f3394,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| ~ sQ28_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f446,f3393]) ).
fof(f3395,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3394,f126]) ).
fof(f3396,plain,
( ~ sQ75_spl
| ~ sQ57_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3395]) ).
fof(f3397,plain,
$false,
inference(sat_refutation,[status(thm)],[f366,f379,f392,f405,f418,f431,f444,f457,f470,f483,f496,f509,f522,f535,f548,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f606,f619,f632,f645,f649,f650,f651,f652,f653,f661,f668,f672,f679,f683,f687,f691,f695,f699,f706,f710,f714,f718,f722,f723,f727,f731,f735,f739,f743,f744,f748,f749,f750,f754,f755,f756,f757,f758,f759,f760,f765,f766,f767,f768,f769,f770,f771,f776,f777,f778,f779,f780,f781,f782,f787,f788,f789,f790,f791,f792,f793,f798,f799,f800,f801,f803,f804,f809,f810,f811,f812,f813,f814,f815,f816,f820,f821,f822,f823,f824,f825,f826,f831,f832,f833,f834,f835,f836,f837,f838,f842,f843,f844,f845,f846,f847,f848,f849,f853,f854,f855,f857,f859,f864,f865,f866,f867,f868,f869,f870,f871,f875,f876,f877,f878,f879,f880,f881,f882,f886,f887,f888,f889,f890,f891,f892,f893,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f908,f909,f910,f927,f935,f938,f942,f945,f948,f954,f970,f973,f976,f985,f989,f1002,f1016,f1023,f1026,f1029,f1034,f1040,f1041,f1043,f1044,f1047,f1051,f1059,f1061,f1063,f1066,f1069,f1072,f1094,f1102,f1103,f1104,f1107,f1108,f1111,f1112,f1113,f1114,f1115,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1136,f1138,f1143,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1156,f1176,f1186,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1213,f1216,f1217,f1218,f1234,f1236,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1271,f1278,f1279,f1280,f1284,f1286,f1288,f1311,f1313,f1314,f1315,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1334,f1345,f1346,f1347,f1348,f1350,f1351,f1352,f1353,f1355,f1356,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1370,f1371,f1372,f1390,f1422,f1425,f1426,f1427,f1429,f1469,f1470,f1472,f1473,f1494,f1496,f1499,f1503,f1505,f1507,f1508,f1509,f1511,f1512,f1513,f1514,f1518,f1519,f1520,f1523,f1524,f1600,f1601,f1605,f1627,f1677,f1678,f1689,f1767,f1805,f1811,f1812,f1813,f1815,f1816,f1818,f1820,f1821,f1822,f1824,f1825,f1826,f1901,f1981,f2024,f2049,f2068,f2081,f2083,f2102,f2103,f2107,f2113,f2114,f2162,f2163,f2165,f2170,f2176,f2247,f2252,f2255,f2257,f2260,f2264,f2270,f2276,f2287,f2291,f2324,f2328,f2421,f2426,f2446,f2506,f2510,f2512,f2515,f2519,f2520,f2521,f2522,f2525,f2601,f2606,f2609,f2640,f2692,f2694,f2697,f2698,f2700,f2701,f2728,f2735,f2738,f2811,f2818,f2839,f2842,f2843,f2845,f2847,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2861,f2862,f2863,f2998,f3078,f3153,f3215,f3219,f3227,f3232,f3234,f3235,f3319,f3323,f3328,f3334,f3337,f3364,f3365,f3396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG147+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 13:01:07 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 2.61/0.98 % Refutation found
% 2.61/0.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.61/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.62/1.03 % Elapsed time: 0.675624 seconds
% 0.62/1.03 % CPU time: 5.030606 seconds
% 0.62/1.03 % Total memory used: 64.018 MB
% 0.62/1.03 % Net memory used: 62.954 MB
%------------------------------------------------------------------------------