TSTP Solution File: ALG170+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG170+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:10:36 EDT 2024
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 113
% Syntax : Number of formulae : 597 ( 136 unt; 0 def)
% Number of atoms : 2064 (1322 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2461 ( 994 ~; 878 |; 483 &)
% ( 98 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 108 ( 106 usr; 107 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 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,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
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,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f28,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f29,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f36,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f45,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f80,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f84,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f120,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f124,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f126,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f127,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f135,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f137,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f141,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f142,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f144,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f146,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f152,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f154,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f158,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f162,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f163,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f165,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f166,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f167,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f169,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f174,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f179,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f180,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f182,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f183,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f187,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f193,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f194,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f196,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f198,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f199,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f201,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f202,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f204,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f206,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f209,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f210,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f211,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f212,plain,
e0 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f213,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f214,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f215,plain,
e1 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f216,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f217,plain,
e2 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f218,plain,
e3 != e4,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f219,plain,
e0 = op(e4,op(e4,e4)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f220,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f221,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f222,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f223,plain,
( pd0_0
=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f224,plain,
( pd0_1
=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ) ),
introduced(predicate_definition,[f8]) ).
fof(f225,plain,
( ( pd0_0
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( pd0_1
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(formula_renaming,[status(thm)],[f8,f224,f223]) ).
fof(f226,plain,
( pd0_0
| op(e0,e4) != e0 ),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f234,plain,
( pd0_1
| op(e4,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f236,plain,
( ~ pd0_0
| ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f223]) ).
fof(f237,plain,
( pd0_2
=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ) ),
introduced(predicate_definition,[f236]) ).
fof(f238,plain,
( ~ pd0_0
| pd0_2
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ),
inference(formula_renaming,[status(thm)],[f236,f237]) ).
fof(f243,plain,
( ~ pd0_0
| pd0_2
| op(e4,e3) != e4 ),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f244,plain,
( ~ pd0_1
| ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f224]) ).
fof(f245,plain,
( pd0_3
=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 ) ) ),
introduced(predicate_definition,[f244]) ).
fof(f246,plain,
( ~ pd0_1
| pd0_3
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ),
inference(formula_renaming,[status(thm)],[f244,f245]) ).
fof(f248,plain,
( ~ pd0_1
| pd0_3
| op(e3,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f252,plain,
( ~ pd0_2
| ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f237]) ).
fof(f253,plain,
( pd0_4
=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ),
introduced(predicate_definition,[f252]) ).
fof(f254,plain,
( ~ pd0_2
| pd0_4
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ),
inference(formula_renaming,[status(thm)],[f252,f253]) ).
fof(f257,plain,
( ~ pd0_2
| pd0_4
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f260,plain,
( ~ pd0_3
| ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f245]) ).
fof(f261,plain,
( pd0_5
=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ) ),
introduced(predicate_definition,[f260]) ).
fof(f262,plain,
( ~ pd0_3
| pd0_5
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 ) ),
inference(formula_renaming,[status(thm)],[f260,f261]) ).
fof(f265,plain,
( ~ pd0_3
| pd0_5
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f268,plain,
( ~ pd0_4
| ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f253]) ).
fof(f269,plain,
( pd0_6
=> ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 ) ),
introduced(predicate_definition,[f268]) ).
fof(f270,plain,
( ~ pd0_4
| pd0_6
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ),
inference(formula_renaming,[status(thm)],[f268,f269]) ).
fof(f274,plain,
( ~ pd0_4
| pd0_6
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f276,plain,
( ~ pd0_5
| ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f277,plain,
( pd0_7
=> ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 ) ),
introduced(predicate_definition,[f276]) ).
fof(f278,plain,
( ~ pd0_5
| pd0_7
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ),
inference(formula_renaming,[status(thm)],[f276,f277]) ).
fof(f279,plain,
( ~ pd0_5
| pd0_7
| op(e1,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f278]) ).
fof(f284,plain,
( ~ pd0_6
| ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f269]) ).
fof(f286,plain,
( ~ pd0_6
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f284]) ).
fof(f290,plain,
( ~ pd0_7
| ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 ) ),
inference(pre_NNF_transformation,[status(esa)],[f277]) ).
fof(f295,plain,
( ~ pd0_7
| op(e0,e4) != e4 ),
inference(cnf_transformation,[status(esa)],[f290]) ).
fof(f296,plain,
( spl0_0
<=> op(e0,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( op(e0,e0) = e0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_1
<=> op(e0,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( op(e0,e0) = e1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_3
<=> op(e0,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( spl0_4
<=> op(e0,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( op(e0,e0) = e4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f9,f296,f299,f302,f305,f308]) ).
fof(f312,plain,
( spl0_5
<=> op(e0,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( op(e0,e1) = e0
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_6
<=> op(e0,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( op(e0,e1) = e1
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_7
<=> op(e0,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f321,plain,
( spl0_8
<=> op(e0,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( op(e0,e1) = e3
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( spl0_9
<=> op(e0,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( op(e0,e1) = e4
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f10,f312,f315,f318,f321,f324]) ).
fof(f328,plain,
( spl0_10
<=> op(e0,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( op(e0,e2) = e0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_11
<=> op(e0,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( op(e0,e2) = e1
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_12
<=> op(e0,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f335,plain,
( op(e0,e2) = e2
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( spl0_13
<=> op(e0,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( op(e0,e2) = e3
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( spl0_14
<=> op(e0,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( op(e0,e2) = e4
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( op(e0,e2) != e4
| spl0_14 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f344,plain,
( spl0_15
<=> op(e0,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( op(e0,e3) = e0
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_16
<=> op(e0,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( op(e0,e3) = e1
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f360,plain,
( spl0_20
<=> op(e0,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( op(e0,e4) = e0
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( spl0_21
<=> op(e0,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( op(e0,e4) = e1
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( spl0_22
<=> op(e0,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( op(e0,e4) = e2
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_23
<=> op(e0,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( op(e0,e4) = e3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_24
<=> op(e0,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( op(e0,e4) = e4
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f13,f360,f363,f366,f369,f372]) ).
fof(f376,plain,
( spl0_25
<=> op(e1,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( op(e1,e0) = e0
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_26
<=> op(e1,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( op(e1,e0) = e1
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_27
<=> op(e1,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( op(e1,e0) = e2
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( spl0_28
<=> op(e1,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( op(e1,e0) = e3
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_29
<=> op(e1,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f14,f376,f379,f382,f385,f388]) ).
fof(f392,plain,
( spl0_30
<=> op(e1,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( op(e1,e1) = e0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_31
<=> op(e1,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( op(e1,e1) = e1
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_32
<=> op(e1,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( op(e1,e1) = e2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_33
<=> op(e1,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( op(e1,e1) = e3
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( spl0_34
<=> op(e1,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( op(e1,e1) = e4
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( spl0_30
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(split_clause,[status(thm)],[f15,f392,f395,f398,f401,f404]) ).
fof(f408,plain,
( spl0_35
<=> op(e1,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op(e1,e2) = e0
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f417,plain,
( spl0_38
<=> op(e1,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( op(e1,e2) = e3
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f424,plain,
( spl0_40
<=> op(e1,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op(e1,e3) = e0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f433,plain,
( spl0_43
<=> op(e1,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f434,plain,
( op(e1,e3) = e3
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( spl0_44
<=> op(e1,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( op(e1,e3) = e4
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f440,plain,
( spl0_45
<=> op(e1,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( op(e1,e4) = e0
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f449,plain,
( spl0_48
<=> op(e1,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( op(e1,e4) = e3
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f456,plain,
( spl0_50
<=> op(e2,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( op(e2,e0) = e0
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( spl0_51
<=> op(e2,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f460,plain,
( op(e2,e0) = e1
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_52
<=> op(e2,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f463,plain,
( op(e2,e0) = e2
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f472,plain,
( spl0_55
<=> op(e2,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f473,plain,
( op(e2,e1) = e0
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_56
<=> op(e2,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( op(e2,e1) = e1
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_57
<=> op(e2,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( op(e2,e1) = e2
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f488,plain,
( spl0_60
<=> op(e2,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( op(e2,e2) = e0
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( spl0_61
<=> op(e2,e2) = e1 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( spl0_62
<=> op(e2,e2) = e2 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( spl0_63
<=> op(e2,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( op(e2,e2) = e3
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_64
<=> op(e2,e2) = e4 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( op(e2,e2) = e4
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f21,f488,f491,f494,f497,f500]) ).
fof(f504,plain,
( spl0_65
<=> op(e2,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( op(e2,e3) = e0
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f520,plain,
( spl0_70
<=> op(e2,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( spl0_75
<=> op(e3,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( op(e3,e0) = e0
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f542,plain,
( spl0_77
<=> op(e3,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( op(e3,e0) = e2
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f548,plain,
( spl0_79
<=> op(e3,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( op(e3,e0) = e4
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f552,plain,
( spl0_80
<=> op(e3,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( op(e3,e1) = e0
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( spl0_81
<=> op(e3,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( op(e3,e1) = e1
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_82
<=> op(e3,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op(e3,e1) = e2
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_83
<=> op(e3,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( op(e3,e1) = e3
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( spl0_84
<=> op(e3,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( op(e3,e1) = e4
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f25,f552,f555,f558,f561,f564]) ).
fof(f568,plain,
( spl0_85
<=> op(e3,e2) = e0 ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( op(e3,e2) = e0
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f577,plain,
( spl0_88
<=> op(e3,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( op(e3,e2) = e3
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f584,plain,
( spl0_90
<=> op(e3,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op(e3,e3) = e0
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_91
<=> op(e3,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op(e3,e3) = e1
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_92
<=> op(e3,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op(e3,e3) = e2
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f596,plain,
( spl0_94
<=> op(e3,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f597,plain,
( op(e3,e3) = e4
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f600,plain,
( spl0_95
<=> op(e3,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op(e3,e4) = e0
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_96
<=> op(e3,e4) = e1 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( op(e3,e4) = e1
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( spl0_97
<=> op(e3,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op(e3,e4) = e2
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_98
<=> op(e3,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( spl0_99
<=> op(e3,e4) = e4 ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( op(e3,e4) = e4
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_95
| spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f28,f600,f603,f606,f609,f612]) ).
fof(f616,plain,
( spl0_100
<=> op(e4,e0) = e0 ),
introduced(split_symbol_definition) ).
fof(f617,plain,
( op(e4,e0) = e0
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( spl0_101
<=> op(e4,e0) = e1 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( op(e4,e0) = e1
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( spl0_102
<=> op(e4,e0) = e2 ),
introduced(split_symbol_definition) ).
fof(f623,plain,
( op(e4,e0) = e2
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,plain,
( spl0_103
<=> op(e4,e0) = e3 ),
introduced(split_symbol_definition) ).
fof(f626,plain,
( op(e4,e0) = e3
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( spl0_104
<=> op(e4,e0) = e4 ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( op(e4,e0) = e4
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103
| spl0_104 ),
inference(split_clause,[status(thm)],[f29,f616,f619,f622,f625,f628]) ).
fof(f632,plain,
( spl0_105
<=> op(e4,e1) = e0 ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( op(e4,e1) = e0
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( spl0_106
<=> op(e4,e1) = e1 ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( op(e4,e1) = e1
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( spl0_107
<=> op(e4,e1) = e2 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( op(e4,e1) = e2
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( spl0_108
<=> op(e4,e1) = e3 ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( op(e4,e1) = e3
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( spl0_109
<=> op(e4,e1) = e4 ),
introduced(split_symbol_definition) ).
fof(f645,plain,
( op(e4,e1) = e4
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f657,plain,
( spl0_113
<=> op(e4,e2) = e3 ),
introduced(split_symbol_definition) ).
fof(f658,plain,
( op(e4,e2) = e3
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f664,plain,
( spl0_115
<=> op(e4,e3) = e0 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op(e4,e3) = e0
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_116
<=> op(e4,e3) = e1 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( op(e4,e3) = e1
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( spl0_117
<=> op(e4,e3) = e2 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( spl0_118
<=> op(e4,e3) = e3 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( spl0_119
<=> op(e4,e3) = e4 ),
introduced(split_symbol_definition) ).
fof(f677,plain,
( op(e4,e3) = e4
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f32,f664,f667,f670,f673,f676]) ).
fof(f680,plain,
( spl0_120
<=> op(e4,e4) = e0 ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( op(e4,e4) = e0
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f686,plain,
( spl0_122
<=> op(e4,e4) = e2 ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( op(e4,e4) = e2
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( spl0_123
<=> op(e4,e4) = e3 ),
introduced(split_symbol_definition) ).
fof(f690,plain,
( op(e4,e4) = e3
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f697,plain,
( spl0_0
| spl0_25
| spl0_50
| spl0_75
| spl0_100 ),
inference(split_clause,[status(thm)],[f35,f296,f376,f456,f536,f616]) ).
fof(f698,plain,
( spl0_1
| spl0_6
| spl0_11
| spl0_16
| spl0_21 ),
inference(split_clause,[status(thm)],[f36,f299,f315,f331,f347,f363]) ).
fof(f701,plain,
( spl0_2
| spl0_27
| spl0_52
| spl0_77
| spl0_102 ),
inference(split_clause,[status(thm)],[f39,f302,f382,f462,f542,f622]) ).
fof(f707,plain,
( spl0_5
| spl0_30
| spl0_55
| spl0_80
| spl0_105 ),
inference(split_clause,[status(thm)],[f45,f312,f392,f472,f552,f632]) ).
fof(f709,plain,
( spl0_6
| spl0_31
| spl0_56
| spl0_81
| spl0_106 ),
inference(split_clause,[status(thm)],[f47,f315,f395,f475,f555,f635]) ).
fof(f712,plain,
( spl0_28
| spl0_33
| spl0_38
| spl0_43
| spl0_48 ),
inference(split_clause,[status(thm)],[f50,f385,f401,f417,f433,f449]) ).
fof(f723,plain,
( spl0_13
| spl0_38
| spl0_63
| spl0_88
| spl0_113 ),
inference(split_clause,[status(thm)],[f61,f337,f417,f497,f577,f657]) ).
fof(f727,plain,
( spl0_15
| spl0_40
| spl0_65
| spl0_90
| spl0_115 ),
inference(split_clause,[status(thm)],[f65,f344,f424,f504,f584,f664]) ).
fof(f737,plain,
( spl0_20
| spl0_45
| spl0_70
| spl0_95
| spl0_120 ),
inference(split_clause,[status(thm)],[f75,f360,f440,f520,f600,f680]) ).
fof(f742,plain,
( spl0_103
| spl0_108
| spl0_113
| spl0_118
| spl0_123 ),
inference(split_clause,[status(thm)],[f80,f625,f641,f657,f673,f689]) ).
fof(f746,plain,
( spl0_125
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( spl0_125
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f226,f746,f360]) ).
fof(f754,plain,
( spl0_126
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( spl0_126
| ~ spl0_118 ),
inference(split_clause,[status(thm)],[f234,f754,f673]) ).
fof(f762,plain,
( spl0_127
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( ~ spl0_125
| spl0_127
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f243,f746,f762,f676]) ).
fof(f770,plain,
( spl0_128
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( ~ spl0_126
| spl0_128
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f248,f754,f770,f555]) ).
fof(f778,plain,
( spl0_129
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f783,plain,
( ~ spl0_127
| spl0_129
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f257,f762,f778,f494]) ).
fof(f786,plain,
( spl0_130
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( ~ spl0_128
| spl0_130
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f265,f770,f786,f494]) ).
fof(f794,plain,
( spl0_131
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( ~ spl0_129
| spl0_131
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f274,f778,f794,f561]) ).
fof(f802,plain,
( spl0_132
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f279,f786,f802,f376]) ).
fof(f811,plain,
( ~ spl0_131
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f286,f794,f379]) ).
fof(f819,plain,
( ~ spl0_132
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f295,f802,f372]) ).
fof(f820,plain,
e2 = op(e0,op(e4,e4)),
inference(forward_demodulation,[status(thm)],[f219,f221]) ).
fof(f821,plain,
e2 = op(e0,e1),
inference(forward_demodulation,[status(thm)],[f220,f820]) ).
fof(f822,plain,
e3 = op(e0,op(e4,op(e4,e4))),
inference(forward_demodulation,[status(thm)],[f219,f222]) ).
fof(f823,plain,
e3 = op(e0,e0),
inference(forward_demodulation,[status(thm)],[f219,f822]) ).
fof(f824,plain,
( e1 = e3
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f220,f690]) ).
fof(f825,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f214]) ).
fof(f826,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( e1 = e2
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f220,f687]) ).
fof(f828,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f213]) ).
fof(f829,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f828]) ).
fof(f854,plain,
( e1 = e0
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f220,f681]) ).
fof(f855,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f209]) ).
fof(f856,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f869,plain,
( e4 = e2
| ~ spl0_79
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f549,f543]) ).
fof(f870,plain,
( $false
| ~ spl0_79
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f217]) ).
fof(f871,plain,
( ~ spl0_79
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f870]) ).
fof(f878,plain,
( e1 = e0
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f588,f585]) ).
fof(f879,plain,
( $false
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f209]) ).
fof(f880,plain,
( ~ spl0_91
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f887,plain,
( e4 = e3
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f341,f338]) ).
fof(f888,plain,
( $false
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f218]) ).
fof(f889,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f899,plain,
( e2 = e4
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f821,f325]) ).
fof(f900,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f217]) ).
fof(f901,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f900]) ).
fof(f905,plain,
( e2 = e3
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f821,f322]) ).
fof(f906,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f216]) ).
fof(f907,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f914,plain,
( e3 = e4
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f823,f309]) ).
fof(f915,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f218]) ).
fof(f916,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( e3 = e2
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f823,f303]) ).
fof(f918,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f216]) ).
fof(f919,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( e3 = e1
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f823,f300]) ).
fof(f921,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f920,f214]) ).
fof(f922,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f921]) ).
fof(f952,plain,
e0 = op(e4,e1),
inference(backward_demodulation,[status(thm)],[f220,f219]) ).
fof(f959,plain,
op(e4,e0) != e1,
inference(backward_demodulation,[status(thm)],[f220,f202]) ).
fof(f960,plain,
( e1 != e1
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f620,f959]) ).
fof(f961,plain,
( $false
| ~ spl0_101 ),
inference(trivial_equality_resolution,[status(esa)],[f960]) ).
fof(f962,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f961]) ).
fof(f963,plain,
op(e3,e4) != e1,
inference(backward_demodulation,[status(thm)],[f220,f158]) ).
fof(f968,plain,
op(e0,e4) != e1,
inference(backward_demodulation,[status(thm)],[f220,f152]) ).
fof(f969,plain,
( e1 != e1
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f364,f968]) ).
fof(f970,plain,
( $false
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f969]) ).
fof(f971,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f972,plain,
op(op(e4,e4),e1) = e4,
inference(backward_demodulation,[status(thm)],[f220,f108]) ).
fof(f973,plain,
op(e1,e1) = e4,
inference(forward_demodulation,[status(thm)],[f220,f972]) ).
fof(f974,plain,
e2 != op(e0,e4),
inference(backward_demodulation,[status(thm)],[f821,f165]) ).
fof(f977,plain,
e2 != op(e0,e2),
inference(backward_demodulation,[status(thm)],[f821,f163]) ).
fof(f983,plain,
e2 != op(e3,e1),
inference(backward_demodulation,[status(thm)],[f821,f121]) ).
fof(f984,plain,
e2 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f821,f120]) ).
fof(f988,plain,
op(e2,op(e1,e0)) = e1,
inference(backward_demodulation,[status(thm)],[f821,f89]) ).
fof(f989,plain,
op(op(e1,e0),e2) = e0,
inference(backward_demodulation,[status(thm)],[f821,f85]) ).
fof(f990,plain,
e3 != op(e0,e4),
inference(backward_demodulation,[status(thm)],[f823,f162]) ).
fof(f995,plain,
e3 != op(e4,e0),
inference(backward_demodulation,[status(thm)],[f823,f112]) ).
fof(f1000,plain,
e3 != op(e1,e0),
inference(backward_demodulation,[status(thm)],[f823,f109]) ).
fof(f1001,plain,
op(op(e0,e0),e3) = e0,
inference(backward_demodulation,[status(thm)],[f823,f84]) ).
fof(f1002,plain,
op(e3,e3) = e0,
inference(forward_demodulation,[status(thm)],[f823,f1001]) ).
fof(f1012,plain,
( e0 != op(e4,e3)
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f633,f204]) ).
fof(f1013,plain,
( e0 != e0
| ~ spl0_115
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f665,f1012]) ).
fof(f1014,plain,
( $false
| ~ spl0_115
| ~ spl0_105 ),
inference(trivial_equality_resolution,[status(esa)],[f1013]) ).
fof(f1015,plain,
( ~ spl0_115
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1027,plain,
e0 != op(e3,e4),
inference(forward_demodulation,[status(thm)],[f1002,f198]) ).
fof(f1043,plain,
( e1 != op(e4,e3)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f348,f142]) ).
fof(f1044,plain,
( e1 != e1
| ~ spl0_116
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f668,f1043]) ).
fof(f1045,plain,
( $false
| ~ spl0_116
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f1044]) ).
fof(f1046,plain,
( ~ spl0_116
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1045]) ).
fof(f1053,plain,
( e0 != op(e3,e3)
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f569,f196]) ).
fof(f1054,plain,
( e0 != e0
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f1002,f1053]) ).
fof(f1055,plain,
( $false
| ~ spl0_85 ),
inference(trivial_equality_resolution,[status(esa)],[f1054]) ).
fof(f1056,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
op(e3,e1) != e0,
inference(forward_demodulation,[status(thm)],[f1002,f194]) ).
fof(f1060,plain,
( e0 != op(e3,e3)
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f505,f146]) ).
fof(f1061,plain,
( e0 != e0
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f1002,f1060]) ).
fof(f1062,plain,
( $false
| ~ spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f1061]) ).
fof(f1063,plain,
~ spl0_65,
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1066,plain,
op(e0,e3) != e0,
inference(forward_demodulation,[status(thm)],[f1002,f141]) ).
fof(f1071,plain,
e4 != op(e1,e3),
inference(forward_demodulation,[status(thm)],[f973,f174]) ).
fof(f1075,plain,
( op(e3,op(e3,e1)) = e3
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f434,f100]) ).
fof(f1076,plain,
( op(op(e3,e1),e3) = e1
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f434,f92]) ).
fof(f1081,plain,
e4 != op(e3,e1),
inference(forward_demodulation,[status(thm)],[f973,f124]) ).
fof(f1090,plain,
( e1 != op(e2,e2)
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f460,f180]) ).
fof(f1093,plain,
( e0 = e3
| ~ spl0_35
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f409,f418]) ).
fof(f1094,plain,
( $false
| ~ spl0_35
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f211]) ).
fof(f1095,plain,
( ~ spl0_35
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1104,plain,
( e0 = e2
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f1002,f591]) ).
fof(f1105,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f210]) ).
fof(f1106,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f1105]) ).
fof(f1114,plain,
( e4 = e3
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f973,f402]) ).
fof(f1115,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f218]) ).
fof(f1116,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1121,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f1000]) ).
fof(f1122,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( e4 = e0
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f973,f393]) ).
fof(f1124,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1123,f212]) ).
fof(f1125,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1133,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f983]) ).
fof(f1134,plain,
~ spl0_82,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1147,plain,
( e3 != op(e3,e4)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f450,f154]) ).
fof(f1148,plain,
( ~ spl0_98
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1147,f609,f449]) ).
fof(f1151,plain,
( op(e3,op(e4,e1)) = e4
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f450,f105]) ).
fof(f1152,plain,
( op(e3,e0) = e4
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f952,f1151]) ).
fof(f1168,plain,
( e0 = e1
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f952,f636]) ).
fof(f1169,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f209]) ).
fof(f1170,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1175,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f1057]) ).
fof(f1176,plain,
~ spl0_80,
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1179,plain,
( e2 = e0
| ~ spl0_52
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f463,f457]) ).
fof(f1180,plain,
( $false
| ~ spl0_52
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f210]) ).
fof(f1181,plain,
( ~ spl0_52
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1186,plain,
( e1 != op(e2,e2)
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f476,f183]) ).
fof(f1195,plain,
( e0 != op(e3,e3)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f425,f144]) ).
fof(f1196,plain,
( e0 != e0
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f1002,f1195]) ).
fof(f1197,plain,
( $false
| ~ spl0_40 ),
inference(trivial_equality_resolution,[status(esa)],[f1196]) ).
fof(f1198,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1204,plain,
( e0 != op(e0,e4)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f329,f167]) ).
fof(f1205,plain,
( e0 != e0
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f361,f1204]) ).
fof(f1206,plain,
( $false
| ~ spl0_20
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f1205]) ).
fof(f1207,plain,
( ~ spl0_20
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1206]) ).
fof(f1208,plain,
( e2 = e1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f821,f316]) ).
fof(f1209,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f213]) ).
fof(f1210,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f1209]) ).
fof(f1219,plain,
( e0 = e4
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1002,f597]) ).
fof(f1220,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f212]) ).
fof(f1221,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1228,plain,
( e4 = e2
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f973,f399]) ).
fof(f1229,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1228,f217]) ).
fof(f1230,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1236,plain,
op(op(e1,e4),e0) = e4,
inference(backward_demodulation,[status(thm)],[f952,f105]) ).
fof(f1240,plain,
op(e2,e1) != e0,
inference(backward_demodulation,[status(thm)],[f952,f127]) ).
fof(f1247,plain,
op(e4,e0) != e0,
inference(forward_demodulation,[status(thm)],[f952,f199]) ).
fof(f1282,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f984]) ).
fof(f1283,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( e0 = e4
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f952,f645]) ).
fof(f1285,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f212]) ).
fof(f1286,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1291,plain,
( e2 = e0
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f821,f313]) ).
fof(f1292,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f210]) ).
fof(f1293,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1328,plain,
( op(op(e4,e1),e3) = e1
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f450,f93]) ).
fof(f1329,plain,
( op(e0,e3) = e1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f952,f1328]) ).
fof(f1333,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f1240]) ).
fof(f1334,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f1333]) ).
fof(f1339,plain,
( e0 = e2
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f952,f639]) ).
fof(f1340,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f210]) ).
fof(f1341,plain,
~ spl0_107,
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1348,plain,
( op(op(e2,e2),e0) = e2
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f489,f96]) ).
fof(f1349,plain,
( op(e0,e0) = e2
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f489,f1348]) ).
fof(f1350,plain,
( e3 = e2
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f823,f1349]) ).
fof(f1351,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1350,f216]) ).
fof(f1352,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1358,plain,
( op(e1,e0) != e4
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f405,f169]) ).
fof(f1359,plain,
( ~ spl0_29
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1358,f388,f404]) ).
fof(f1374,plain,
( op(e4,op(e3,e4)) = e3
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f677,f103]) ).
fof(f1375,plain,
( op(e4,e4) = e3
| ~ spl0_99
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f613,f1374]) ).
fof(f1376,plain,
( e1 = e3
| ~ spl0_99
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f220,f1375]) ).
fof(f1377,plain,
( $false
| ~ spl0_99
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f214]) ).
fof(f1378,plain,
( ~ spl0_99
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1385,plain,
( op(e1,e2) != e3
| ~ spl0_113 ),
inference(backward_demodulation,[status(thm)],[f658,f135]) ).
fof(f1396,plain,
( op(e3,e3) = e3
| ~ spl0_83
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f562,f1075]) ).
fof(f1397,plain,
( e0 = e3
| ~ spl0_83
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1002,f1396]) ).
fof(f1398,plain,
( $false
| ~ spl0_83
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1397,f211]) ).
fof(f1399,plain,
( ~ spl0_83
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1404,plain,
( e4 = e1
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f341,f332]) ).
fof(f1405,plain,
( $false
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1404,f215]) ).
fof(f1406,plain,
( ~ spl0_14
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1405]) ).
fof(f1414,plain,
( e4 = e1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f973,f396]) ).
fof(f1415,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1414,f215]) ).
fof(f1416,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( e0 != e0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f345,f1066]) ).
fof(f1418,plain,
( $false
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f1417]) ).
fof(f1419,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f1418]) ).
fof(f1432,plain,
( ~ spl0_61
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1186,f491,f475]) ).
fof(f1434,plain,
( e2 != op(e4,e3)
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f623,f201]) ).
fof(f1435,plain,
( ~ spl0_117
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f1434,f670,f622]) ).
fof(f1451,plain,
( e0 = e3
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f952,f642]) ).
fof(f1452,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f211]) ).
fof(f1453,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1537,plain,
( e4 != e4
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f565,f1081]) ).
fof(f1538,plain,
( $false
| ~ spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f1537]) ).
fof(f1539,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f1538]) ).
fof(f1540,plain,
( spl0_79
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1152,f548,f449]) ).
fof(f1545,plain,
( op(e0,e2) != e1
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f1329,f166]) ).
fof(f1559,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f974]) ).
fof(f1560,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1570,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f995]) ).
fof(f1571,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1587,plain,
( op(e1,e2) = e0
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f380,f989]) ).
fof(f1588,plain,
( op(e2,e1) = e1
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f380,f988]) ).
fof(f1596,plain,
( e0 != op(e2,e4)
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f457,f182]) ).
fof(f1613,plain,
( op(op(e4,e0),e4) = e0
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f373,f88]) ).
fof(f1623,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f977]) ).
fof(f1624,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1651,plain,
( e3 = e0
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f823,f297]) ).
fof(f1652,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f211]) ).
fof(f1653,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f1652]) ).
fof(f1657,plain,
( op(e2,e2) = e0
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f383,f989]) ).
fof(f1658,plain,
( spl0_60
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1657,f488,f382]) ).
fof(f1672,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f1071]) ).
fof(f1673,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1681,plain,
( op(e3,e1) != e3
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f578,f193]) ).
fof(f1682,plain,
( ~ spl0_83
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f1681,f561,f577]) ).
fof(f1699,plain,
( e3 != op(e4,e3)
| ~ spl0_113 ),
inference(backward_demodulation,[status(thm)],[f658,f206]) ).
fof(f1700,plain,
( ~ spl0_118
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f1699,f673,f657]) ).
fof(f1705,plain,
( ~ spl0_38
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f1385,f417,f657]) ).
fof(f1738,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f1247]) ).
fof(f1739,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f1738]) ).
fof(f1753,plain,
( op(op(e2,e2),e3) = e2
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f498,f96]) ).
fof(f1769,plain,
( op(e2,e0) != e1
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f476,f179]) ).
fof(f1770,plain,
( ~ spl0_51
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1769,f459,f475]) ).
fof(f1793,plain,
( e3 != e3
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f370,f990]) ).
fof(f1794,plain,
( $false
| ~ spl0_23 ),
inference(trivial_equality_resolution,[status(esa)],[f1793]) ).
fof(f1795,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1811,plain,
( op(e0,e2) = e0
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f377,f989]) ).
fof(f1812,plain,
( spl0_10
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1811,f328,f376]) ).
fof(f1813,plain,
( op(e2,e0) = e1
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f377,f988]) ).
fof(f1814,plain,
( spl0_51
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f1813,f459,f376]) ).
fof(f1826,plain,
( $false
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f963]) ).
fof(f1827,plain,
~ spl0_96,
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1831,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1545,f331,f449]) ).
fof(f1925,plain,
( op(e4,e4) = e0
| ~ spl0_104
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f629,f1613]) ).
fof(f1926,plain,
( e1 = e0
| ~ spl0_104
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f220,f1925]) ).
fof(f1927,plain,
( $false
| ~ spl0_104
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1926,f209]) ).
fof(f1928,plain,
( ~ spl0_104
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1927]) ).
fof(f1941,plain,
( ~ spl0_61
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1090,f491,f459]) ).
fof(f1950,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f1027]) ).
fof(f1951,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1954,plain,
( op(e1,e3) = e1
| ~ spl0_81
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f556,f1076]) ).
fof(f1957,plain,
( e1 = e3
| ~ spl0_81
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1954,f434]) ).
fof(f1958,plain,
( $false
| ~ spl0_81
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1957,f214]) ).
fof(f1959,plain,
( ~ spl0_81
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1983,plain,
( op(op(e0,e4),e2) = e4
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f623,f104]) ).
fof(f1984,plain,
( op(e4,e2) = e4
| ~ spl0_24
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f373,f1983]) ).
fof(f1995,plain,
( op(op(e3,e4),e4) = e4
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f677,f107]) ).
fof(f2026,plain,
( op(e3,e3) = e2
| ~ spl0_63 ),
inference(backward_demodulation,[status(thm)],[f498,f1753]) ).
fof(f2027,plain,
( spl0_92
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f2026,f590,f497]) ).
fof(f2053,plain,
( op(e2,e2) != e4
| ~ spl0_24
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1984,f137]) ).
fof(f2059,plain,
( e4 != op(e4,e3)
| ~ spl0_24
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1984,f206]) ).
fof(f2060,plain,
( e4 != e4
| ~ spl0_119
| ~ spl0_24
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f677,f2059]) ).
fof(f2061,plain,
( $false
| ~ spl0_119
| ~ spl0_24
| ~ spl0_102 ),
inference(trivial_equality_resolution,[status(esa)],[f2060]) ).
fof(f2062,plain,
( ~ spl0_119
| ~ spl0_24
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2061]) ).
fof(f2114,plain,
( $false
| ~ spl0_24
| ~ spl0_102
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f2053]) ).
fof(f2115,plain,
( ~ spl0_24
| ~ spl0_102
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2206,plain,
( e4 = e0
| ~ spl0_79
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f549,f537]) ).
fof(f2207,plain,
( $false
| ~ spl0_79
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f212]) ).
fof(f2208,plain,
( ~ spl0_79
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2219,plain,
( e1 != op(e3,e1)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f1588,f126]) ).
fof(f2220,plain,
( ~ spl0_81
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2219,f555,f379]) ).
fof(f2222,plain,
( spl0_35
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1587,f408,f379]) ).
fof(f2255,plain,
( op(e0,e0) = e4
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f441,f1236]) ).
fof(f2256,plain,
( spl0_4
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2255,f308,f440]) ).
fof(f2374,plain,
( op(e0,e2) = e4
| ~ spl0_20
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f361,f1983]) ).
fof(f2375,plain,
( $false
| spl0_14
| ~ spl0_20
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f342]) ).
fof(f2376,plain,
( spl0_14
| ~ spl0_20
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2432,plain,
( ~ spl0_70
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1596,f520,f456]) ).
fof(f2568,plain,
( op(e2,e4) = e4
| ~ spl0_97
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f607,f1995]) ).
fof(f2629,plain,
( op(e2,e2) != e4
| ~ spl0_97
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f2568,f187]) ).
fof(f2631,plain,
( $false
| ~ spl0_97
| ~ spl0_119
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f2629]) ).
fof(f2632,plain,
( ~ spl0_97
| ~ spl0_119
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f2633,plain,
$false,
inference(sat_refutation,[status(thm)],[f311,f327,f375,f391,f407,f503,f567,f615,f631,f679,f697,f698,f701,f707,f709,f712,f723,f727,f737,f742,f749,f760,f769,f774,f783,f791,f800,f805,f811,f819,f826,f829,f856,f871,f880,f889,f901,f907,f916,f919,f922,f962,f971,f1015,f1046,f1056,f1063,f1095,f1106,f1116,f1122,f1125,f1134,f1148,f1170,f1176,f1181,f1198,f1207,f1210,f1221,f1230,f1283,f1286,f1293,f1334,f1341,f1352,f1359,f1378,f1399,f1406,f1416,f1419,f1432,f1435,f1453,f1539,f1540,f1560,f1571,f1624,f1653,f1658,f1673,f1682,f1700,f1705,f1739,f1770,f1795,f1812,f1814,f1827,f1831,f1928,f1941,f1951,f1959,f2027,f2062,f2115,f2208,f2220,f2222,f2256,f2376,f2432,f2632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ALG170+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n009.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 23:28:55 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.28 % Drodi V3.6.0
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.40 % Elapsed time: 0.136549 seconds
% 0.10/0.40 % CPU time: 0.987273 seconds
% 0.10/0.40 % Total memory used: 28.462 MB
% 0.10/0.40 % Net memory used: 27.683 MB
%------------------------------------------------------------------------------