TSTP Solution File: ALG136+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG136+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:13 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 115
% Syntax : Number of formulae : 745 ( 12 unt; 0 def)
% Number of atoms : 2418 (1138 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 3006 (1333 ~;1380 |; 205 &)
% ( 88 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 90 ( 88 usr; 89 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(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e2,e2) != e0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e2,e2) != e1 )
& ( op(e0,e1) != e0
| op(e3,e3) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e2) != e0
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e2,e2) != e2 )
& ( op(e0,e2) != e0
| op(e3,e3) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& ( op(e0,e3) != e0
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e2,e2) != e3 )
& ( op(e0,e3) != e0
| op(e3,e3) != e3 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e0) != e1
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e3,e3) != e0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e1
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1 )
& ( op(e1,e2) != e1
| op(e0,e0) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e3,e3) != e2 )
& ( op(e1,e3) != e1
| op(e0,e0) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e1,e3) != e1
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e3,e3) != e3 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0 )
& ( op(e2,e0) != e2
| op(e1,e1) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0 )
& ( op(e2,e1) != e2
| op(e0,e0) != e1 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e1) != e2
| op(e3,e3) != e1 )
& ( op(e2,e2) != e2
| op(e0,e0) != e2 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e2
| op(e3,e3) != e2 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3 )
& ( op(e2,e3) != e2
| op(e1,e1) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e3,e0) != e3
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e1,e1) != e0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0 )
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e0,e0) != e1 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1 )
& ( op(e3,e1) != e3
| op(e2,e2) != e1 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2 )
& ( op(e3,e2) != e3
| op(e1,e1) != e2 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e3
| op(e1,e1) != e3 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f45,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f46,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f70,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f76,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f77,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f132,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
( op(e0,e1) != e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
( op(e0,e1) != e0
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
( op(e0,e1) != e0
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f140,plain,
( op(e0,e2) != e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
( op(e0,e2) != e0
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
( op(e0,e2) != e0
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
( op(e0,e3) != e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
( op(e0,e3) != e0
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
( op(e0,e3) != e0
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
( op(e1,e0) != e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
( op(e1,e0) != e1
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
( op(e1,e0) != e1
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
( op(e1,e2) != e1
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
( op(e1,e2) != e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
( op(e1,e2) != e1
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f160,plain,
( op(e1,e3) != e1
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f161,plain,
( op(e1,e3) != e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f162,plain,
( op(e1,e3) != e1
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f165,plain,
( op(e2,e0) != e2
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f166,plain,
( op(e2,e0) != e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f167,plain,
( op(e2,e0) != e2
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f168,plain,
( op(e2,e1) != e2
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f170,plain,
( op(e2,e1) != e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f171,plain,
( op(e2,e1) != e2
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f174,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f176,plain,
( op(e2,e3) != e2
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f177,plain,
( op(e2,e3) != e2
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f178,plain,
( op(e2,e3) != e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f181,plain,
( op(e3,e0) != e3
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f182,plain,
( op(e3,e0) != e3
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f183,plain,
( op(e3,e0) != e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f184,plain,
( op(e3,e1) != e3
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f186,plain,
( op(e3,e1) != e3
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f187,plain,
( op(e3,e1) != e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f188,plain,
( op(e3,e2) != e3
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f189,plain,
( op(e3,e2) != e3
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f191,plain,
( op(e3,e2) != e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f195,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f196,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f198,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f199,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f202,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f203,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f202]) ).
fof(f204,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f205,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f204]) ).
fof(f206,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f207,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f208,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f209,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f208]) ).
fof(f210,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f211,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f210]) ).
fof(f212,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f213,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f214,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f215,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f216,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f217,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f216]) ).
fof(f218,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f219,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f218]) ).
fof(f220,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f221,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f222,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f223,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f224,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f225,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f226,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f227,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f228,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f229,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f228]) ).
fof(f232,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f233,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f232]) ).
fof(f234,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f235,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f236,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f237,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f238,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f239,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f240,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f241,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f242,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f243,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f244,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f254,plain,
( op(e0,e0) = e3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f30,f244,f247,f250,f253]) ).
fof(f257,plain,
( spl0_4
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( op(e0,e1) = e0
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_5
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( op(e0,e1) = e1
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_6
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( op(e0,e1) = e2
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_7
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( op(e0,e1) = e3
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f31,f257,f260,f263,f266]) ).
fof(f270,plain,
( spl0_8
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( op(e0,e2) = e0
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_9
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( op(e0,e2) = e1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_10
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( op(e0,e2) = e2
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_11
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( op(e0,e2) = e3
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f283,plain,
( spl0_12
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( op(e0,e3) = e0
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_13
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( op(e0,e3) = e1
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_14
<=> op(e0,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( op(e0,e3) = e2
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_15
<=> op(e0,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( op(e0,e3) = e3
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f296,plain,
( spl0_16
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( op(e1,e0) = e0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_17
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e1,e0) = e1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_18
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( op(e1,e0) = e2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_19
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( op(e1,e0) = e3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f34,f296,f299,f302,f305]) ).
fof(f309,plain,
( spl0_20
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( op(e1,e1) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( spl0_21
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( spl0_22
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( op(e1,e1) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_23
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( op(e1,e1) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f35,f309,f312,f315,f318]) ).
fof(f322,plain,
( spl0_24
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( op(e1,e2) = e0
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_25
<=> op(e1,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( op(e1,e2) = e1
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_26
<=> op(e1,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( op(e1,e2) = e2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_27
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( op(e1,e2) = e3
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f335,plain,
( spl0_28
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( op(e1,e3) = e0
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_29
<=> op(e1,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( op(e1,e3) = e1
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_30
<=> op(e1,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( op(e1,e3) = e2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_31
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e1,e3) = e3
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f37,f335,f338,f341,f344]) ).
fof(f348,plain,
( spl0_32
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( op(e2,e0) = e0
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_33
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( op(e2,e0) = e1
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_34
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( op(e2,e0) = e2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( spl0_35
<=> op(e2,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( op(e2,e0) = e3
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f361,plain,
( spl0_36
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( op(e2,e1) = e0
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( spl0_37
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( op(e2,e1) = e1
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_38
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( op(e2,e1) = e2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_39
<=> op(e2,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( op(e2,e1) = e3
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f39,f361,f364,f367,f370]) ).
fof(f374,plain,
( spl0_40
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( op(e2,e2) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_41
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( op(e2,e2) = e1
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_42
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( spl0_43
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( op(e2,e2) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f40,f374,f377,f380,f383]) ).
fof(f387,plain,
( spl0_44
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( op(e2,e3) = e0
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_45
<=> op(e2,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( op(e2,e3) = e1
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_46
<=> op(e2,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( op(e2,e3) = e2
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_47
<=> op(e2,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( op(e2,e3) = e3
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f400,plain,
( spl0_48
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( op(e3,e0) = e0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_49
<=> op(e3,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( op(e3,e0) = e1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_50
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( op(e3,e0) = e2
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_51
<=> op(e3,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( op(e3,e0) = e3
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f42,f400,f403,f406,f409]) ).
fof(f413,plain,
( spl0_52
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( op(e3,e1) = e0
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_53
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( op(e3,e1) = e1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_54
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( op(e3,e1) = e2
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_55
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( op(e3,e1) = e3
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f426,plain,
( spl0_56
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( op(e3,e2) = e0
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_57
<=> op(e3,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( op(e3,e2) = e1
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_58
<=> op(e3,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( op(e3,e2) = e2
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_59
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( op(e3,e2) = e3
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f439,plain,
( spl0_60
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( op(e3,e3) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_61
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( op(e3,e3) = e1
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_62
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( op(e3,e3) = e2
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_63
<=> op(e3,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f45,f439,f442,f445,f448]) ).
fof(f452,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f46,f244,f257,f270,f283]) ).
fof(f453,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f47,f244,f296,f348,f400]) ).
fof(f454,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f48,f247,f260,f273,f286]) ).
fof(f455,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f49,f247,f299,f351,f403]) ).
fof(f456,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f50,f250,f263,f276,f289]) ).
fof(f457,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f51,f250,f302,f354,f406]) ).
fof(f458,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f52,f253,f266,f279,f292]) ).
fof(f459,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f53,f253,f305,f357,f409]) ).
fof(f460,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f54,f296,f309,f322,f335]) ).
fof(f461,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f55,f257,f309,f361,f413]) ).
fof(f462,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f56,f299,f312,f325,f338]) ).
fof(f463,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f57,f260,f312,f364,f416]) ).
fof(f464,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f58,f302,f315,f328,f341]) ).
fof(f465,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f59,f263,f315,f367,f419]) ).
fof(f466,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f60,f305,f318,f331,f344]) ).
fof(f467,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f61,f266,f318,f370,f422]) ).
fof(f468,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f62,f348,f361,f374,f387]) ).
fof(f469,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f63,f270,f322,f374,f426]) ).
fof(f470,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f64,f351,f364,f377,f390]) ).
fof(f471,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f65,f273,f325,f377,f429]) ).
fof(f472,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f66,f354,f367,f380,f393]) ).
fof(f473,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f67,f276,f328,f380,f432]) ).
fof(f474,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f68,f357,f370,f383,f396]) ).
fof(f475,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f69,f279,f331,f383,f435]) ).
fof(f476,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f70,f400,f413,f426,f439]) ).
fof(f478,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f72,f403,f416,f429,f442]) ).
fof(f479,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f73,f286,f338,f390,f442]) ).
fof(f480,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f74,f406,f419,f432,f445]) ).
fof(f481,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f75,f289,f341,f393,f445]) ).
fof(f482,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f76,f409,f422,f435,f448]) ).
fof(f483,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f77,f292,f344,f396,f448]) ).
fof(f484,plain,
~ spl0_0,
inference(split_clause,[status(thm)],[f132,f244]) ).
fof(f488,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f136,f257,f247]) ).
fof(f490,plain,
( ~ spl0_4
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f138,f257,f377]) ).
fof(f491,plain,
( ~ spl0_4
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f139,f257,f442]) ).
fof(f492,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f140,f270,f250]) ).
fof(f493,plain,
( ~ spl0_8
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f141,f270,f315]) ).
fof(f495,plain,
( ~ spl0_8
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f143,f270,f445]) ).
fof(f496,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f144,f283,f253]) ).
fof(f497,plain,
( ~ spl0_12
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f145,f283,f318]) ).
fof(f498,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f146,f283,f383]) ).
fof(f501,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f149,f299,f309]) ).
fof(f502,plain,
( ~ spl0_17
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f150,f299,f374]) ).
fof(f503,plain,
( ~ spl0_17
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f151,f299,f439]) ).
fof(f505,plain,
~ spl0_21,
inference(split_clause,[status(thm)],[f153,f312]) ).
fof(f508,plain,
( ~ spl0_25
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f156,f325,f250]) ).
fof(f509,plain,
( ~ spl0_25
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f157,f325,f315]) ).
fof(f511,plain,
( ~ spl0_25
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f159,f325,f445]) ).
fof(f512,plain,
( ~ spl0_29
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f160,f338,f253]) ).
fof(f513,plain,
( ~ spl0_29
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f161,f338,f318]) ).
fof(f514,plain,
( ~ spl0_29
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f162,f338,f383]) ).
fof(f517,plain,
( ~ spl0_34
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f165,f354,f309]) ).
fof(f518,plain,
( ~ spl0_34
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f166,f354,f374]) ).
fof(f519,plain,
( ~ spl0_34
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f167,f354,f439]) ).
fof(f520,plain,
( ~ spl0_38
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f168,f367,f247]) ).
fof(f522,plain,
( ~ spl0_38
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f170,f367,f377]) ).
fof(f523,plain,
( ~ spl0_38
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f171,f367,f442]) ).
fof(f526,plain,
~ spl0_42,
inference(split_clause,[status(thm)],[f174,f380]) ).
fof(f528,plain,
( ~ spl0_46
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f176,f393,f253]) ).
fof(f529,plain,
( ~ spl0_46
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f177,f393,f318]) ).
fof(f530,plain,
( ~ spl0_46
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f178,f393,f383]) ).
fof(f533,plain,
( ~ spl0_51
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f181,f409,f309]) ).
fof(f534,plain,
( ~ spl0_51
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f182,f409,f374]) ).
fof(f535,plain,
( ~ spl0_51
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f183,f409,f439]) ).
fof(f536,plain,
( ~ spl0_55
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f184,f422,f247]) ).
fof(f538,plain,
( ~ spl0_55
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f186,f422,f377]) ).
fof(f539,plain,
( ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f187,f422,f442]) ).
fof(f540,plain,
( ~ spl0_59
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f188,f435,f250]) ).
fof(f541,plain,
( ~ spl0_59
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f189,f435,f315]) ).
fof(f543,plain,
( ~ spl0_59
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f191,f435,f445]) ).
fof(f547,plain,
~ spl0_63,
inference(split_clause,[status(thm)],[f195,f448]) ).
fof(f548,plain,
( spl0_64
<=> e0 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( e0 != op(e3,op(e3,e3))
| spl0_64 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_65
<=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_65 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ spl0_64
| ~ spl0_61
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f197,f548,f442,f551]) ).
fof(f555,plain,
( spl0_66
<=> e0 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( e0 = op(e2,op(e2,e2))
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( e0 != op(e2,op(e2,e2))
| spl0_66 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_67
<=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_67 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ spl0_66
| ~ spl0_41
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f199,f555,f377,f558]) ).
fof(f562,plain,
( spl0_68
<=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_68 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f566,plain,
( spl0_69
<=> e0 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( e0 != op(e1,op(e1,e1))
| spl0_69 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_70
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f571,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_70 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ spl0_69
| ~ spl0_22
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f203,f566,f315,f569]) ).
fof(f573,plain,
( spl0_71
<=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_71 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ spl0_66
| ~ spl0_43
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f205,f555,f383,f573]) ).
fof(f577,plain,
( spl0_72
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_72 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ spl0_69
| ~ spl0_23
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f207,f566,f318,f577]) ).
fof(f581,plain,
( spl0_73
<=> e1 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( e1 != op(e3,op(e3,e3))
| spl0_73 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ spl0_73
| ~ spl0_60
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f209,f581,f439,f551]) ).
fof(f585,plain,
( spl0_74
<=> e1 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( e1 != op(e2,op(e2,e2))
| spl0_74 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ spl0_74
| ~ spl0_40
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f211,f585,f374,f558]) ).
fof(f589,plain,
( spl0_75
<=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_75 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( ~ spl0_73
| ~ spl0_62
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f213,f581,f445,f589]) ).
fof(f593,plain,
( spl0_76
<=> e1 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( e1 != op(e0,op(e0,e0))
| spl0_76 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( spl0_77
<=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_77 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( ~ spl0_76
| ~ spl0_2
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f215,f593,f250,f596]) ).
fof(f600,plain,
( spl0_78
<=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_78 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( ~ spl0_74
| ~ spl0_43
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f217,f585,f383,f600]) ).
fof(f604,plain,
( spl0_79
<=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f606,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_79 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( ~ spl0_76
| ~ spl0_3
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f219,f593,f253,f604]) ).
fof(f608,plain,
( spl0_80
<=> e2 = op(e3,op(e3,e3)) ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( e2 = op(e3,op(e3,e3))
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( e2 != op(e3,op(e3,e3))
| spl0_80 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( ~ spl0_80
| ~ spl0_60
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f221,f608,f439,f562]) ).
fof(f612,plain,
( spl0_81
<=> e2 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( e2 != op(e1,op(e1,e1))
| spl0_81 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( ~ spl0_81
| ~ spl0_20
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f223,f612,f309,f569]) ).
fof(f616,plain,
( ~ spl0_80
| ~ spl0_61
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f225,f608,f442,f589]) ).
fof(f617,plain,
( spl0_82
<=> e2 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( e2 != op(e0,op(e0,e0))
| spl0_82 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( ~ spl0_82
| ~ spl0_1
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f227,f617,f247,f596]) ).
fof(f621,plain,
( spl0_83
<=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_83 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ spl0_81
| ~ spl0_23
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f229,f612,f318,f621]) ).
fof(f625,plain,
( spl0_84
<=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_84 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f629,plain,
( spl0_85
<=> e3 = op(e2,op(e2,e2)) ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( e3 != op(e2,op(e2,e2))
| spl0_85 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( ~ spl0_85
| ~ spl0_40
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f233,f629,f374,f573]) ).
fof(f633,plain,
( spl0_86
<=> e3 = op(e1,op(e1,e1)) ),
introduced(split_symbol_definition) ).
fof(f635,plain,
( e3 != op(e1,op(e1,e1))
| spl0_86 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( ~ spl0_86
| ~ spl0_20
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f235,f633,f309,f577]) ).
fof(f637,plain,
( ~ spl0_85
| ~ spl0_41
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f237,f629,f377,f600]) ).
fof(f638,plain,
( spl0_87
<=> e3 = op(e0,op(e0,e0)) ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( e3 != op(e0,op(e0,e0))
| spl0_87 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( ~ spl0_87
| ~ spl0_1
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f239,f638,f247,f604]) ).
fof(f642,plain,
( ~ spl0_86
| ~ spl0_22
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f241,f633,f315,f621]) ).
fof(f643,plain,
( ~ spl0_87
| ~ spl0_2
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f243,f638,f250,f625]) ).
fof(f644,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f336,f345]) ).
fof(f645,plain,
( $false
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f128]) ).
fof(f646,plain,
( ~ spl0_28
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( e2 = e3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f290,f293]) ).
fof(f648,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f131]) ).
fof(f649,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( e0 = e3
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f401,f410]) ).
fof(f652,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f651,f128]) ).
fof(f653,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f656,plain,
( e1 = e3
| ~ spl0_45
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f391,f397]) ).
fof(f657,plain,
( $false
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f130]) ).
fof(f658,plain,
( ~ spl0_45
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f657]) ).
fof(f659,plain,
( e1 = e2
| ~ spl0_57
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f430,f433]) ).
fof(f660,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f129]) ).
fof(f661,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f662,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f417,f420]) ).
fof(f663,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f129]) ).
fof(f664,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f404,f407]) ).
fof(f666,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f129]) ).
fof(f667,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( e0 = e2
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f297,f303]) ).
fof(f669,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f127]) ).
fof(f670,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( e0 = e3
| ~ spl0_36
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f362,f371]) ).
fof(f673,plain,
( $false
| ~ spl0_36
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f128]) ).
fof(f674,plain,
( ~ spl0_36
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( e1 = e3
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f352,f358]) ).
fof(f676,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f130]) ).
fof(f677,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( e2 = e3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f267]) ).
fof(f679,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f131]) ).
fof(f680,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( e0 = e3
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f388,f397]) ).
fof(f682,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f128]) ).
fof(f683,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( e0 = e2
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f427,f433]) ).
fof(f685,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f127]) ).
fof(f686,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( e0 = e2
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f414,f420]) ).
fof(f688,plain,
( $false
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f127]) ).
fof(f689,plain,
( ~ spl0_52
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f365,f371]) ).
fof(f691,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f130]) ).
fof(f692,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f693,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f277,f280]) ).
fof(f694,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f131]) ).
fof(f695,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f700,plain,
( e1 != op(e2,e0)
| ~ spl0_40
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f375,f587]) ).
fof(f701,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_74 ),
inference(split_clause,[status(thm)],[f700,f351,f374,f585]) ).
fof(f704,plain,
( e3 != op(e2,e0)
| ~ spl0_40
| spl0_85 ),
inference(backward_demodulation,[status(thm)],[f375,f631]) ).
fof(f706,plain,
( e0 != op(e2,e0)
| ~ spl0_40
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f375,f557]) ).
fof(f707,plain,
( e0 != e0
| ~ spl0_32
| ~ spl0_40
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f349,f706]) ).
fof(f708,plain,
( $false
| ~ spl0_32
| ~ spl0_40
| spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f707]) ).
fof(f709,plain,
( ~ spl0_32
| ~ spl0_40
| spl0_66 ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f717,plain,
( e2 != op(e1,e0)
| ~ spl0_20
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f310,f614]) ).
fof(f718,plain,
( e2 != e2
| ~ spl0_18
| ~ spl0_20
| spl0_81 ),
inference(forward_demodulation,[status(thm)],[f303,f717]) ).
fof(f719,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| spl0_81 ),
inference(trivial_equality_resolution,[status(esa)],[f718]) ).
fof(f720,plain,
( ~ spl0_18
| ~ spl0_20
| spl0_81 ),
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( e0 != op(e1,e0)
| ~ spl0_20
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f310,f568]) ).
fof(f722,plain,
( ~ spl0_16
| ~ spl0_20
| spl0_69 ),
inference(split_clause,[status(thm)],[f721,f296,f309,f566]) ).
fof(f723,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f287,f293]) ).
fof(f724,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f130]) ).
fof(f725,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( e0 = e1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f258,f261]) ).
fof(f727,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f126]) ).
fof(f728,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f731,plain,
( e1 != op(e3,e0)
| ~ spl0_60
| spl0_73 ),
inference(backward_demodulation,[status(thm)],[f440,f583]) ).
fof(f732,plain,
( ~ spl0_49
| ~ spl0_60
| spl0_73 ),
inference(split_clause,[status(thm)],[f731,f403,f439,f581]) ).
fof(f733,plain,
( e2 != op(e3,e0)
| ~ spl0_60
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f440,f610]) ).
fof(f736,plain,
( e2 = e3
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f342,f345]) ).
fof(f737,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f131]) ).
fof(f738,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f261,f264]) ).
fof(f740,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f129]) ).
fof(f741,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( e0 = e2
| ~ spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f323,f329]) ).
fof(f743,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f127]) ).
fof(f744,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f747,plain,
( e0 != op(e3,e1)
| ~ spl0_61
| spl0_64 ),
inference(forward_demodulation,[status(thm)],[f443,f550]) ).
fof(f749,plain,
( e0 != op(e2,e1)
| ~ spl0_41
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f378,f557]) ).
fof(f750,plain,
( e0 != e0
| ~ spl0_36
| ~ spl0_41
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f362,f749]) ).
fof(f751,plain,
( $false
| ~ spl0_36
| ~ spl0_41
| spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f750]) ).
fof(f752,plain,
( ~ spl0_36
| ~ spl0_41
| spl0_66 ),
inference(contradiction_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( e1 != op(e2,e1)
| ~ spl0_41
| spl0_74 ),
inference(forward_demodulation,[status(thm)],[f378,f587]) ).
fof(f754,plain,
( e3 != op(e2,e1)
| ~ spl0_41
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f378,f631]) ).
fof(f755,plain,
( $false
| ~ spl0_41
| spl0_74
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f753]) ).
fof(f756,plain,
( ~ spl0_41
| spl0_74
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( e0 = e2
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f349,f355]) ).
fof(f759,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f127]) ).
fof(f760,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f771,plain,
( e0 != op(op(e2,e3),op(e2,e2))
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f384,f602]) ).
fof(f772,plain,
( e0 != op(e1,op(e2,e2))
| ~ spl0_45
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f391,f771]) ).
fof(f773,plain,
( e0 != op(e1,e3)
| ~ spl0_45
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f384,f772]) ).
fof(f774,plain,
( e0 != e0
| ~ spl0_28
| ~ spl0_45
| ~ spl0_43
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f336,f773]) ).
fof(f775,plain,
( $false
| ~ spl0_28
| ~ spl0_45
| ~ spl0_43
| spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f774]) ).
fof(f776,plain,
( ~ spl0_28
| ~ spl0_45
| ~ spl0_43
| spl0_78 ),
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f781,plain,
( e1 = e2
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f274,f277]) ).
fof(f782,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f129]) ).
fof(f783,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( e1 = e3
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f417,f423]) ).
fof(f785,plain,
( $false
| ~ spl0_53
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f130]) ).
fof(f786,plain,
( ~ spl0_53
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( e2 != op(e0,e1)
| ~ spl0_1
| spl0_82 ),
inference(backward_demodulation,[status(thm)],[f248,f619]) ).
fof(f789,plain,
( ~ spl0_6
| ~ spl0_1
| spl0_82 ),
inference(split_clause,[status(thm)],[f788,f263,f247,f617]) ).
fof(f791,plain,
( ~ spl0_52
| ~ spl0_61
| spl0_64 ),
inference(split_clause,[status(thm)],[f747,f413,f442,f548]) ).
fof(f797,plain,
( e0 = e2
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f401,f407]) ).
fof(f798,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f127]) ).
fof(f799,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f802,plain,
( e2 != op(e3,e1)
| ~ spl0_61
| spl0_80 ),
inference(backward_demodulation,[status(thm)],[f443,f610]) ).
fof(f803,plain,
( ~ spl0_54
| ~ spl0_61
| spl0_80 ),
inference(split_clause,[status(thm)],[f802,f419,f442,f608]) ).
fof(f809,plain,
( e3 != op(e0,e1)
| ~ spl0_1
| spl0_87 ),
inference(backward_demodulation,[status(thm)],[f248,f640]) ).
fof(f810,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_87 ),
inference(split_clause,[status(thm)],[f809,f266,f247,f638]) ).
fof(f812,plain,
( e3 != op(op(e1,op(e1,e1)),e0)
| ~ spl0_20
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f310,f571]) ).
fof(f815,plain,
( ~ spl0_35
| ~ spl0_40
| spl0_85 ),
inference(split_clause,[status(thm)],[f704,f357,f374,f629]) ).
fof(f817,plain,
( ~ spl0_50
| ~ spl0_60
| spl0_80 ),
inference(split_clause,[status(thm)],[f733,f406,f439,f608]) ).
fof(f828,plain,
( e3 != op(e1,e0)
| ~ spl0_20
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f310,f635]) ).
fof(f838,plain,
( $false
| ~ spl0_20
| spl0_86
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f828]) ).
fof(f839,plain,
( ~ spl0_20
| spl0_86
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( e2 = op(e1,e0)
| ~ spl0_20
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f310,f613]) ).
fof(f841,plain,
( e3 != op(op(e1,e0),e0)
| ~ spl0_20
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f310,f812]) ).
fof(f842,plain,
( e3 != op(e2,e0)
| ~ spl0_81
| ~ spl0_20
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f840,f841]) ).
fof(f843,plain,
( e3 != e3
| ~ spl0_35
| ~ spl0_81
| ~ spl0_20
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f358,f842]) ).
fof(f844,plain,
( $false
| ~ spl0_35
| ~ spl0_81
| ~ spl0_20
| spl0_70 ),
inference(trivial_equality_resolution,[status(esa)],[f843]) ).
fof(f845,plain,
( ~ spl0_35
| ~ spl0_81
| ~ spl0_20
| spl0_70 ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f850,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_85 ),
inference(split_clause,[status(thm)],[f754,f370,f377,f629]) ).
fof(f856,plain,
( e3 != op(op(e2,e1),op(e2,e2))
| ~ spl0_41
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f378,f560]) ).
fof(f857,plain,
( e3 != op(op(e2,e1),e1)
| ~ spl0_41
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f378,f856]) ).
fof(f862,plain,
( e1 = e2
| ~ spl0_25
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f326,f329]) ).
fof(f863,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f129]) ).
fof(f864,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f863]) ).
fof(f870,plain,
( e1 != op(e3,e2)
| ~ spl0_62
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f446,f583]) ).
fof(f871,plain,
( e1 != e1
| ~ spl0_57
| ~ spl0_62
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f430,f870]) ).
fof(f872,plain,
( $false
| ~ spl0_57
| ~ spl0_62
| spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f871]) ).
fof(f873,plain,
( ~ spl0_57
| ~ spl0_62
| spl0_73 ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( e3 != op(e1,e2)
| ~ spl0_22
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f316,f635]) ).
fof(f876,plain,
( e3 != e3
| ~ spl0_27
| ~ spl0_22
| spl0_86 ),
inference(forward_demodulation,[status(thm)],[f332,f875]) ).
fof(f877,plain,
( $false
| ~ spl0_27
| ~ spl0_22
| spl0_86 ),
inference(trivial_equality_resolution,[status(esa)],[f876]) ).
fof(f878,plain,
( ~ spl0_27
| ~ spl0_22
| spl0_86 ),
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( e0 = e1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f284,f287]) ).
fof(f881,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f126]) ).
fof(f882,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f897,plain,
( e1 != op(e0,e3)
| ~ spl0_3
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f254,f595]) ).
fof(f898,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_76 ),
inference(split_clause,[status(thm)],[f897,f286,f253,f593]) ).
fof(f908,plain,
( e0 != op(e2,op(e1,e1))
| ~ spl0_81
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f613,f623]) ).
fof(f916,plain,
( e2 != op(op(e3,op(e3,e3)),e0)
| ~ spl0_60
| spl0_65 ),
inference(backward_demodulation,[status(thm)],[f440,f553]) ).
fof(f917,plain,
( e2 != op(op(e3,e0),e0)
| ~ spl0_60
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f440,f916]) ).
fof(f926,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f323,f326]) ).
fof(f927,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f126]) ).
fof(f928,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f931,plain,
( e3 != op(e0,e1)
| ~ spl0_36
| ~ spl0_41
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f362,f857]) ).
fof(f938,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f404,f410]) ).
fof(f939,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f130]) ).
fof(f940,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f944,plain,
( e2 != op(e1,e0)
| ~ spl0_49
| ~ spl0_60
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f404,f917]) ).
fof(f949,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f433,f436]) ).
fof(f950,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f131]) ).
fof(f951,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f955,plain,
( e0 != op(e2,e3)
| ~ spl0_23
| ~ spl0_81
| spl0_83 ),
inference(backward_demodulation,[status(thm)],[f319,f908]) ).
fof(f960,plain,
( e2 != op(op(e0,e3),op(e0,e0))
| ~ spl0_3
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f254,f606]) ).
fof(f961,plain,
( e2 != op(op(e0,e3),e3)
| ~ spl0_3
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f254,f960]) ).
fof(f967,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f271,f277]) ).
fof(f968,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f127]) ).
fof(f969,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f974,plain,
( e1 = e3
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f300,f306]) ).
fof(f975,plain,
( $false
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f130]) ).
fof(f976,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f977,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_76 ),
inference(backward_demodulation,[status(thm)],[f251,f595]) ).
fof(f978,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_76 ),
inference(split_clause,[status(thm)],[f977,f273,f250,f593]) ).
fof(f987,plain,
( e1 = e3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f274,f280]) ).
fof(f988,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f130]) ).
fof(f989,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f995,plain,
( e2 != op(op(e0,e2),op(e0,e0))
| ~ spl0_2
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f251,f606]) ).
fof(f996,plain,
( e2 != op(e1,op(e0,e0))
| ~ spl0_9
| ~ spl0_2
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f274,f995]) ).
fof(f997,plain,
( e2 != op(e1,e2)
| ~ spl0_9
| ~ spl0_2
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f251,f996]) ).
fof(f998,plain,
( e2 != e2
| ~ spl0_26
| ~ spl0_9
| ~ spl0_2
| spl0_79 ),
inference(forward_demodulation,[status(thm)],[f329,f997]) ).
fof(f999,plain,
( $false
| ~ spl0_26
| ~ spl0_9
| ~ spl0_2
| spl0_79 ),
inference(trivial_equality_resolution,[status(esa)],[f998]) ).
fof(f1000,plain,
( ~ spl0_26
| ~ spl0_9
| ~ spl0_2
| spl0_79 ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( e2 != op(op(e1,e2),op(e1,e1))
| ~ spl0_22
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f316,f579]) ).
fof(f1012,plain,
( e1 = e3
| ~ spl0_29
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f339,f345]) ).
fof(f1013,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f130]) ).
fof(f1014,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1018,plain,
( e0 = e1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f297,f300]) ).
fof(f1019,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1018,f126]) ).
fof(f1020,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1029,plain,
( e0 = op(e1,e0)
| ~ spl0_20
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f310,f567]) ).
fof(f1049,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f267]) ).
fof(f1050,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1049,f130]) ).
fof(f1051,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1057,plain,
( e1 != op(op(e0,op(e0,e0)),e2)
| ~ spl0_2
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f251,f627]) ).
fof(f1058,plain,
( e1 != op(op(e0,e2),e2)
| ~ spl0_2
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f251,f1057]) ).
fof(f1072,plain,
( e0 != op(e1,e2)
| ~ spl0_22
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f316,f568]) ).
fof(f1073,plain,
( ~ spl0_24
| ~ spl0_22
| spl0_69 ),
inference(split_clause,[status(thm)],[f1072,f322,f315,f566]) ).
fof(f1077,plain,
( e1 = e2
| ~ spl0_37
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f365,f368]) ).
fof(f1078,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f129]) ).
fof(f1079,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1086,plain,
( e1 != op(op(e3,op(e3,e3)),e0)
| ~ spl0_60
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f440,f564]) ).
fof(f1094,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f391,f394]) ).
fof(f1095,plain,
( $false
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f129]) ).
fof(f1096,plain,
( ~ spl0_45
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( e0 = e3
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f284,f293]) ).
fof(f1098,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1097,f128]) ).
fof(f1099,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1112,plain,
( e3 != op(e0,op(e1,e1))
| ~ spl0_69
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f567,f571]) ).
fof(f1150,plain,
( e0 = e1
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f401,f404]) ).
fof(f1151,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f126]) ).
fof(f1152,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1160,plain,
( e1 != op(op(e2,op(e2,e2)),e0)
| ~ spl0_40
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f375,f575]) ).
fof(f1165,plain,
( e1 != op(op(e3,e0),e0)
| ~ spl0_60
| spl0_68 ),
inference(forward_demodulation,[status(thm)],[f440,f1086]) ).
fof(f1177,plain,
( e0 != op(e1,e1)
| ~ spl0_20
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f1029,f108]) ).
fof(f1178,plain,
( ~ spl0_20
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f1177,f309,f566]) ).
fof(f1185,plain,
( e2 = e3
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f394,f397]) ).
fof(f1186,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1185,f131]) ).
fof(f1187,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1186]) ).
fof(f1191,plain,
( e1 != op(op(e2,e0),e0)
| ~ spl0_40
| spl0_71 ),
inference(backward_demodulation,[status(thm)],[f375,f1160]) ).
fof(f1192,plain,
( e1 != op(e3,e0)
| ~ spl0_35
| ~ spl0_40
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f358,f1191]) ).
fof(f1193,plain,
( e1 != e1
| ~ spl0_49
| ~ spl0_35
| ~ spl0_40
| spl0_71 ),
inference(forward_demodulation,[status(thm)],[f404,f1192]) ).
fof(f1194,plain,
( $false
| ~ spl0_49
| ~ spl0_35
| ~ spl0_40
| spl0_71 ),
inference(trivial_equality_resolution,[status(esa)],[f1193]) ).
fof(f1195,plain,
( ~ spl0_49
| ~ spl0_35
| ~ spl0_40
| spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1194]) ).
fof(f1215,plain,
( e0 != op(op(e3,op(e3,e3)),e2)
| ~ spl0_62
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f446,f591]) ).
fof(f1216,plain,
( e0 != op(op(e3,e2),e2)
| ~ spl0_62
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f446,f1215]) ).
fof(f1219,plain,
( e1 != op(e2,e3)
| ~ spl0_43
| spl0_74 ),
inference(backward_demodulation,[status(thm)],[f384,f587]) ).
fof(f1220,plain,
( ~ spl0_45
| ~ spl0_43
| spl0_74 ),
inference(split_clause,[status(thm)],[f1219,f390,f383,f585]) ).
fof(f1225,plain,
( e2 != op(e1,e3)
| ~ spl0_23
| spl0_81 ),
inference(backward_demodulation,[status(thm)],[f319,f614]) ).
fof(f1226,plain,
( ~ spl0_30
| ~ spl0_23
| spl0_81 ),
inference(split_clause,[status(thm)],[f1225,f341,f318,f612]) ).
fof(f1234,plain,
( e0 = e1
| ~ spl0_52
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f414,f417]) ).
fof(f1235,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f126]) ).
fof(f1236,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1245,plain,
( e0 != op(op(e3,e1),op(e3,e3))
| ~ spl0_61
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f443,f591]) ).
fof(f1246,plain,
( e0 != op(op(e3,e1),e1)
| ~ spl0_61
| spl0_75 ),
inference(forward_demodulation,[status(thm)],[f443,f1245]) ).
fof(f1250,plain,
( ~ spl0_44
| ~ spl0_23
| ~ spl0_81
| spl0_83 ),
inference(split_clause,[status(thm)],[f955,f387,f318,f612,f621]) ).
fof(f1251,plain,
( e2 = op(e1,e3)
| ~ spl0_23
| ~ spl0_81 ),
inference(backward_demodulation,[status(thm)],[f319,f613]) ).
fof(f1264,plain,
( e3 != op(e0,op(e2,e2))
| ~ spl0_66
| spl0_67 ),
inference(backward_demodulation,[status(thm)],[f556,f560]) ).
fof(f1265,plain,
( e3 != op(e0,e1)
| ~ spl0_41
| ~ spl0_66
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f378,f1264]) ).
fof(f1282,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f271,f274]) ).
fof(f1283,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f126]) ).
fof(f1284,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1291,plain,
( e1 != op(op(e3,op(e3,e3)),e0)
| ~ spl0_60
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f440,f564]) ).
fof(f1320,plain,
( e3 != op(op(e0,op(e0,e0)),e1)
| ~ spl0_1
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f248,f598]) ).
fof(f1321,plain,
( e3 != op(op(e0,e1),e1)
| ~ spl0_1
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f248,f1320]) ).
fof(f1322,plain,
( e3 != op(e2,e1)
| ~ spl0_6
| ~ spl0_1
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f264,f1321]) ).
fof(f1323,plain,
( e3 != e3
| ~ spl0_39
| ~ spl0_6
| ~ spl0_1
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f371,f1322]) ).
fof(f1324,plain,
( $false
| ~ spl0_39
| ~ spl0_6
| ~ spl0_1
| spl0_77 ),
inference(trivial_equality_resolution,[status(esa)],[f1323]) ).
fof(f1325,plain,
( ~ spl0_39
| ~ spl0_6
| ~ spl0_1
| spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1365,plain,
( e1 != op(e3,e2)
| ~ spl0_11
| ~ spl0_2
| spl0_84 ),
inference(backward_demodulation,[status(thm)],[f280,f1058]) ).
fof(f1366,plain,
( ~ spl0_57
| ~ spl0_11
| ~ spl0_2
| spl0_84 ),
inference(split_clause,[status(thm)],[f1365,f429,f279,f250,f625]) ).
fof(f1367,plain,
( e2 = e3
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f329,f332]) ).
fof(f1368,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f131]) ).
fof(f1369,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1385,plain,
( e2 != op(e3,op(e1,e1))
| ~ spl0_27
| ~ spl0_22
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f332,f1001]) ).
fof(f1389,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f316,f319]) ).
fof(f1390,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f131]) ).
fof(f1391,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1407,plain,
( ~ spl0_18
| ~ spl0_49
| ~ spl0_60
| spl0_65 ),
inference(split_clause,[status(thm)],[f944,f302,f403,f439,f551]) ).
fof(f1420,plain,
( ~ spl0_7
| ~ spl0_36
| ~ spl0_41
| spl0_67 ),
inference(split_clause,[status(thm)],[f931,f266,f361,f377,f558]) ).
fof(f1422,plain,
( ~ spl0_7
| ~ spl0_41
| ~ spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f1265,f266,f377,f555,f558]) ).
fof(f1423,plain,
( e1 = e2
| ~ spl0_29
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f339,f342]) ).
fof(f1424,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f129]) ).
fof(f1425,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1429,plain,
( e2 = e3
| ~ spl0_34
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f355,f358]) ).
fof(f1430,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1429,f131]) ).
fof(f1431,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( e1 = op(e3,e2)
| ~ spl0_62
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f446,f582]) ).
fof(f1433,plain,
( e1 = e0
| ~ spl0_56
| ~ spl0_62
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f427,f1432]) ).
fof(f1434,plain,
( $false
| ~ spl0_56
| ~ spl0_62
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f126]) ).
fof(f1435,plain,
( ~ spl0_56
| ~ spl0_62
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1437,plain,
( e0 != op(e1,e2)
| ~ spl0_57
| ~ spl0_62
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f430,f1216]) ).
fof(f1438,plain,
( ~ spl0_24
| ~ spl0_57
| ~ spl0_62
| spl0_75 ),
inference(split_clause,[status(thm)],[f1437,f322,f429,f445,f589]) ).
fof(f1442,plain,
( e0 = e1
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f362,f365]) ).
fof(f1443,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f126]) ).
fof(f1444,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1459,plain,
( e0 = e3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f267]) ).
fof(f1460,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f128]) ).
fof(f1461,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1471,plain,
( e0 != op(e2,e1)
| ~ spl0_54
| ~ spl0_61
| spl0_75 ),
inference(backward_demodulation,[status(thm)],[f420,f1246]) ).
fof(f1472,plain,
( ~ spl0_36
| ~ spl0_54
| ~ spl0_61
| spl0_75 ),
inference(split_clause,[status(thm)],[f1471,f361,f419,f442,f589]) ).
fof(f1475,plain,
( e1 = e3
| ~ spl0_57
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f430,f436]) ).
fof(f1476,plain,
( $false
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1475,f130]) ).
fof(f1477,plain,
( ~ spl0_57
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1485,plain,
( e1 = e2
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f300,f303]) ).
fof(f1486,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f129]) ).
fof(f1487,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1507,plain,
( e2 != op(e3,e2)
| ~ spl0_27
| ~ spl0_22
| spl0_72 ),
inference(backward_demodulation,[status(thm)],[f316,f1385]) ).
fof(f1508,plain,
( ~ spl0_58
| ~ spl0_27
| ~ spl0_22
| spl0_72 ),
inference(split_clause,[status(thm)],[f1507,f432,f331,f315,f577]) ).
fof(f1523,plain,
( e0 = e3
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f323,f332]) ).
fof(f1524,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f128]) ).
fof(f1525,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1530,plain,
( e0 != op(e1,e3)
| ~ spl0_23
| spl0_69 ),
inference(backward_demodulation,[status(thm)],[f319,f568]) ).
fof(f1531,plain,
( ~ spl0_28
| ~ spl0_23
| spl0_69 ),
inference(split_clause,[status(thm)],[f1530,f335,f318,f566]) ).
fof(f1540,plain,
( e2 = e0
| ~ spl0_28
| ~ spl0_23
| ~ spl0_81 ),
inference(backward_demodulation,[status(thm)],[f336,f1251]) ).
fof(f1541,plain,
( $false
| ~ spl0_28
| ~ spl0_23
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f1540,f127]) ).
fof(f1542,plain,
( ~ spl0_28
| ~ spl0_23
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f1541]) ).
fof(f1547,plain,
( e2 != op(e1,e3)
| ~ spl0_13
| ~ spl0_3
| spl0_79 ),
inference(backward_demodulation,[status(thm)],[f287,f961]) ).
fof(f1548,plain,
( ~ spl0_30
| ~ spl0_13
| ~ spl0_3
| spl0_79 ),
inference(split_clause,[status(thm)],[f1547,f341,f286,f253,f604]) ).
fof(f1552,plain,
( e1 != op(e2,e0)
| ~ spl0_80
| ~ spl0_60
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f609,f1291]) ).
fof(f1553,plain,
( ~ spl0_33
| ~ spl0_80
| ~ spl0_60
| spl0_68 ),
inference(split_clause,[status(thm)],[f1552,f351,f608,f439,f562]) ).
fof(f1555,plain,
( e1 != op(e2,e0)
| ~ spl0_50
| ~ spl0_60
| spl0_68 ),
inference(backward_demodulation,[status(thm)],[f407,f1165]) ).
fof(f1556,plain,
( ~ spl0_33
| ~ spl0_50
| ~ spl0_60
| spl0_68 ),
inference(split_clause,[status(thm)],[f1555,f351,f406,f439,f562]) ).
fof(f1568,plain,
( e3 != op(e0,e2)
| ~ spl0_22
| ~ spl0_69
| spl0_70 ),
inference(backward_demodulation,[status(thm)],[f316,f1112]) ).
fof(f1569,plain,
( ~ spl0_11
| ~ spl0_22
| ~ spl0_69
| spl0_70 ),
inference(split_clause,[status(thm)],[f1568,f279,f315,f566,f569]) ).
fof(f1580,plain,
( e2 = e3
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f407,f410]) ).
fof(f1581,plain,
( $false
| ~ spl0_50
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1580,f131]) ).
fof(f1582,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1581]) ).
fof(f1586,plain,
( e3 != op(e0,e2)
| ~ spl0_2
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f251,f640]) ).
fof(f1587,plain,
( e3 != e3
| ~ spl0_11
| ~ spl0_2
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f280,f1586]) ).
fof(f1588,plain,
( $false
| ~ spl0_11
| ~ spl0_2
| spl0_87 ),
inference(trivial_equality_resolution,[status(esa)],[f1587]) ).
fof(f1589,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_87 ),
inference(contradiction_clause,[status(thm)],[f1588]) ).
fof(f1590,plain,
$false,
inference(sat_refutation,[status(thm)],[f256,f269,f308,f321,f347,f373,f386,f412,f451,f452,f453,f454,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f478,f479,f480,f481,f482,f483,f484,f488,f490,f491,f492,f493,f495,f496,f497,f498,f501,f502,f503,f505,f508,f509,f511,f512,f513,f514,f517,f518,f519,f520,f522,f523,f526,f528,f529,f530,f533,f534,f535,f536,f538,f539,f540,f541,f543,f547,f554,f561,f572,f576,f580,f584,f588,f592,f599,f603,f607,f611,f615,f616,f620,f624,f632,f636,f637,f641,f642,f643,f646,f649,f653,f658,f661,f664,f667,f670,f674,f677,f680,f683,f686,f689,f692,f695,f701,f709,f720,f722,f725,f728,f732,f738,f741,f744,f752,f756,f760,f776,f783,f786,f789,f791,f799,f803,f810,f815,f817,f839,f845,f850,f864,f873,f878,f882,f898,f928,f940,f951,f969,f976,f978,f989,f1000,f1014,f1020,f1051,f1073,f1079,f1096,f1099,f1152,f1178,f1187,f1195,f1220,f1226,f1236,f1250,f1284,f1325,f1366,f1369,f1391,f1407,f1420,f1422,f1425,f1431,f1435,f1438,f1444,f1461,f1472,f1477,f1487,f1508,f1525,f1531,f1542,f1548,f1553,f1556,f1569,f1582,f1589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG136+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n031.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue Apr 30 00:07:43 EDT 2024
% 0.08/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.102087 seconds
% 0.14/0.41 % CPU time: 0.702183 seconds
% 0.14/0.41 % Total memory used: 24.185 MB
% 0.14/0.41 % Net memory used: 23.400 MB
%------------------------------------------------------------------------------