TSTP Solution File: ALG056+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG056+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Fri May 3 02:03:29 EDT 2024
% Result : Theorem 3.95s 1.20s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 40
% Syntax : Number of formulae : 635 ( 233 unt; 0 def)
% Number of atoms : 2824 (2273 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 3076 ( 887 ~;1627 |; 562 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| sP9
| sP8 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| sP7
| sP6 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP5
| sP4 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP3
| sP2 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f45,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f46,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f47,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f48,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f49,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f50,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f51,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f52,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f53,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f54,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f55,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f56,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f57,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f58,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f59,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f60,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f61,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f62,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f63,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f64,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f65,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f66,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f67,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f68,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f69,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f71,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f72,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f73,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f74,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f75,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f76,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f77,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f78,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f80,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f90,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f92,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f94,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f95,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f99,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f100,plain,
( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f212,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f224,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f227,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f228,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f229,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f232,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f235,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f237,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f243,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f246,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f247,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f248,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f249,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f253,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f254,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f256,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f257,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f258,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f259,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f260,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f261,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f263,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f264,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f267,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f268,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f269,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f270,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f272,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f273,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f274,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
( e3 = op(e4,e4)
| ~ sP33 ),
inference(cnf_transformation,[],[f45]) ).
fof(f282,plain,
( e2 = op(e4,e4)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f285,plain,
( e1 = op(e4,e4)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f289,plain,
( op(e0,e0) = e4
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f292,plain,
( e3 = op(e4,e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f294,plain,
( e3 = op(e3,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f296,plain,
( e3 != op(e3,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f50]) ).
fof(f298,plain,
( e3 = op(e2,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f300,plain,
( e1 = op(e3,e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f52]) ).
fof(f303,plain,
( e0 = op(e3,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f304,plain,
( op(e0,e0) = e3
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f307,plain,
( e2 = op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f54]) ).
fof(f309,plain,
( e3 = op(e2,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f312,plain,
( e2 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f314,plain,
( e2 != op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f56]) ).
fof(f315,plain,
( e1 = op(e2,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f318,plain,
( e0 = op(e2,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f58]) ).
fof(f322,plain,
( e1 = op(e4,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f325,plain,
( e1 = op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f328,plain,
( e1 = op(e2,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f330,plain,
( e1 = op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f332,plain,
( e1 != op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f62]) ).
fof(f333,plain,
( e0 = op(e1,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f334,plain,
( op(e0,e0) = e1
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f335,plain,
( e1 != op(e1,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f336,plain,
( op(e0,e0) = e4
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f339,plain,
( op(e0,e0) = e3
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f340,plain,
( e0 = op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f341,plain,
( e0 != op(e0,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f343,plain,
( e0 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f345,plain,
( op(e0,e0) = e1
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f346,plain,
( e0 = op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f348,plain,
( e0 = op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f350,plain,
( e0 != op(e0,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f68]) ).
fof(f351,plain,
( e4 != op(e1,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f352,plain,
( e1 = op(e4,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f353,plain,
( e4 != op(e0,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f354,plain,
( e0 = op(e4,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f355,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f356,plain,
( e1 = op(e3,op(e1,e3))
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f357,plain,
( e3 != op(e0,op(e0,e3))
| ~ sP6 ),
inference(cnf_transformation,[],[f72]) ).
fof(f358,plain,
( e0 = op(e3,op(e0,e3))
| ~ sP6 ),
inference(cnf_transformation,[],[f72]) ).
fof(f359,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f360,plain,
( e1 = op(e2,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f361,plain,
( e2 != op(e0,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f362,plain,
( e0 = op(e2,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f363,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f364,plain,
( e1 = op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f366,plain,
( e0 = op(e1,op(e0,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f367,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f368,plain,
( e1 = op(e0,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f369,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f370,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f371,plain,
( e0 != op(e4,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f373,plain,
( e0 != op(e4,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f376,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f377,plain,
( e4 = op(e0,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f378,plain,
( e4 = op(e0,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f380,plain,
( e1 != op(e4,op(e4,e1))
| e1 != op(e3,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f381,plain,
( e1 != op(e4,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e1 != op(e2,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f384,plain,
( e4 = op(e1,op(e4,e1))
| e1 != op(e3,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f385,plain,
( e4 = op(e1,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e1 != op(e2,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f387,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f388,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f389,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f390,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f391,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f392,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f393,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f394,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f396,plain,
( e3 != op(e4,op(e4,e3))
| e3 != op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f398,plain,
( e3 != op(e4,op(e4,e3))
| e3 = op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f400,plain,
( e4 = op(e3,op(e4,e3))
| e3 != op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f402,plain,
( e4 = op(e3,op(e4,e3))
| e3 = op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f404,plain,
( e4 != op(e4,op(e4,e4))
| e4 != op(e3,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f406,plain,
( e4 != op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f408,plain,
( e4 = op(e4,op(e4,e4))
| e4 != op(e3,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f410,plain,
( e4 = op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f411,plain,
( e4 = op(e4,e4)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f44]) ).
fof(f413,plain,
( e4 != op(e4,e4)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_50,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_51,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_52,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_53,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_56,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_57,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_58,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_60,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_62,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_63,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_64,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_65,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_66,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_67,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_68,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_69,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_70,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_71,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_72,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_85,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_86,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_88,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_89,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_90,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_92,plain,
( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_95,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_96,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_97,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_98,plain,
( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_99,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_100,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_101,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_103,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_104,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_107,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_109,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_110,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_111,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_112,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_113,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_114,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_115,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_116,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_117,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_118,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_119,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_120,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_121,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_122,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_123,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_124,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_125,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_126,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_127,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_128,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_129,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_130,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_131,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_132,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_133,plain,
( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_134,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_135,plain,
op(e4,e4) != op(e4,e3),
inference(cnf_transformation,[],[f264]) ).
cnf(c_136,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f263]) ).
cnf(c_137,plain,
op(e4,e3) != op(e4,e2),
inference(cnf_transformation,[],[f262]) ).
cnf(c_138,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f261]) ).
cnf(c_139,plain,
op(e4,e3) != op(e4,e1),
inference(cnf_transformation,[],[f260]) ).
cnf(c_140,plain,
op(e4,e2) != op(e4,e1),
inference(cnf_transformation,[],[f259]) ).
cnf(c_141,plain,
op(e4,e4) != op(e4,e0),
inference(cnf_transformation,[],[f258]) ).
cnf(c_142,plain,
op(e4,e3) != op(e4,e0),
inference(cnf_transformation,[],[f257]) ).
cnf(c_143,plain,
op(e4,e2) != op(e4,e0),
inference(cnf_transformation,[],[f256]) ).
cnf(c_145,plain,
op(e3,e4) != op(e3,e3),
inference(cnf_transformation,[],[f254]) ).
cnf(c_146,plain,
op(e3,e4) != op(e3,e2),
inference(cnf_transformation,[],[f253]) ).
cnf(c_147,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f252]) ).
cnf(c_148,plain,
op(e3,e4) != op(e3,e1),
inference(cnf_transformation,[],[f251]) ).
cnf(c_149,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f250]) ).
cnf(c_150,plain,
op(e3,e2) != op(e3,e1),
inference(cnf_transformation,[],[f249]) ).
cnf(c_151,plain,
op(e3,e4) != op(e3,e0),
inference(cnf_transformation,[],[f248]) ).
cnf(c_152,plain,
op(e3,e3) != op(e3,e0),
inference(cnf_transformation,[],[f247]) ).
cnf(c_153,plain,
op(e3,e2) != op(e3,e0),
inference(cnf_transformation,[],[f246]) ).
cnf(c_154,plain,
op(e3,e1) != op(e3,e0),
inference(cnf_transformation,[],[f245]) ).
cnf(c_155,plain,
op(e2,e4) != op(e2,e3),
inference(cnf_transformation,[],[f244]) ).
cnf(c_156,plain,
op(e2,e4) != op(e2,e2),
inference(cnf_transformation,[],[f243]) ).
cnf(c_157,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f242]) ).
cnf(c_158,plain,
op(e2,e4) != op(e2,e1),
inference(cnf_transformation,[],[f241]) ).
cnf(c_159,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f240]) ).
cnf(c_160,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f239]) ).
cnf(c_161,plain,
op(e2,e4) != op(e2,e0),
inference(cnf_transformation,[],[f238]) ).
cnf(c_162,plain,
op(e2,e3) != op(e2,e0),
inference(cnf_transformation,[],[f237]) ).
cnf(c_163,plain,
op(e2,e2) != op(e2,e0),
inference(cnf_transformation,[],[f236]) ).
cnf(c_164,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f235]) ).
cnf(c_165,plain,
op(e1,e4) != op(e1,e3),
inference(cnf_transformation,[],[f234]) ).
cnf(c_166,plain,
op(e1,e4) != op(e1,e2),
inference(cnf_transformation,[],[f233]) ).
cnf(c_167,plain,
op(e1,e3) != op(e1,e2),
inference(cnf_transformation,[],[f232]) ).
cnf(c_168,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f231]) ).
cnf(c_169,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f230]) ).
cnf(c_170,plain,
op(e1,e2) != op(e1,e1),
inference(cnf_transformation,[],[f229]) ).
cnf(c_171,plain,
op(e1,e4) != op(e1,e0),
inference(cnf_transformation,[],[f228]) ).
cnf(c_172,plain,
op(e1,e3) != op(e1,e0),
inference(cnf_transformation,[],[f227]) ).
cnf(c_173,plain,
op(e1,e2) != op(e1,e0),
inference(cnf_transformation,[],[f226]) ).
cnf(c_174,plain,
op(e1,e1) != op(e1,e0),
inference(cnf_transformation,[],[f225]) ).
cnf(c_175,plain,
op(e0,e4) != op(e0,e3),
inference(cnf_transformation,[],[f224]) ).
cnf(c_176,plain,
op(e0,e4) != op(e0,e2),
inference(cnf_transformation,[],[f223]) ).
cnf(c_177,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f222]) ).
cnf(c_178,plain,
op(e0,e4) != op(e0,e1),
inference(cnf_transformation,[],[f221]) ).
cnf(c_179,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f220]) ).
cnf(c_180,plain,
op(e0,e2) != op(e0,e1),
inference(cnf_transformation,[],[f219]) ).
cnf(c_181,plain,
op(e0,e4) != op(e0,e0),
inference(cnf_transformation,[],[f218]) ).
cnf(c_182,plain,
op(e0,e3) != op(e0,e0),
inference(cnf_transformation,[],[f217]) ).
cnf(c_183,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f216]) ).
cnf(c_184,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f215]) ).
cnf(c_185,plain,
op(e4,e4) != op(e3,e4),
inference(cnf_transformation,[],[f214]) ).
cnf(c_186,plain,
op(e4,e4) != op(e2,e4),
inference(cnf_transformation,[],[f213]) ).
cnf(c_187,plain,
op(e3,e4) != op(e2,e4),
inference(cnf_transformation,[],[f212]) ).
cnf(c_188,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f211]) ).
cnf(c_189,plain,
op(e3,e4) != op(e1,e4),
inference(cnf_transformation,[],[f210]) ).
cnf(c_190,plain,
op(e2,e4) != op(e1,e4),
inference(cnf_transformation,[],[f209]) ).
cnf(c_191,plain,
op(e4,e4) != op(e0,e4),
inference(cnf_transformation,[],[f208]) ).
cnf(c_192,plain,
op(e3,e4) != op(e0,e4),
inference(cnf_transformation,[],[f207]) ).
cnf(c_193,plain,
op(e2,e4) != op(e0,e4),
inference(cnf_transformation,[],[f206]) ).
cnf(c_194,plain,
op(e1,e4) != op(e0,e4),
inference(cnf_transformation,[],[f205]) ).
cnf(c_195,plain,
op(e4,e3) != op(e3,e3),
inference(cnf_transformation,[],[f204]) ).
cnf(c_196,plain,
op(e4,e3) != op(e2,e3),
inference(cnf_transformation,[],[f203]) ).
cnf(c_197,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f202]) ).
cnf(c_198,plain,
op(e4,e3) != op(e1,e3),
inference(cnf_transformation,[],[f201]) ).
cnf(c_199,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f200]) ).
cnf(c_200,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[],[f199]) ).
cnf(c_201,plain,
op(e4,e3) != op(e0,e3),
inference(cnf_transformation,[],[f198]) ).
cnf(c_202,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f197]) ).
cnf(c_203,plain,
op(e2,e3) != op(e0,e3),
inference(cnf_transformation,[],[f196]) ).
cnf(c_204,plain,
op(e1,e3) != op(e0,e3),
inference(cnf_transformation,[],[f195]) ).
cnf(c_205,plain,
op(e4,e2) != op(e3,e2),
inference(cnf_transformation,[],[f194]) ).
cnf(c_206,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f193]) ).
cnf(c_207,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f192]) ).
cnf(c_208,plain,
op(e4,e2) != op(e1,e2),
inference(cnf_transformation,[],[f191]) ).
cnf(c_209,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f190]) ).
cnf(c_210,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f189]) ).
cnf(c_211,plain,
op(e4,e2) != op(e0,e2),
inference(cnf_transformation,[],[f188]) ).
cnf(c_212,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f187]) ).
cnf(c_213,plain,
op(e2,e2) != op(e0,e2),
inference(cnf_transformation,[],[f186]) ).
cnf(c_214,plain,
op(e1,e2) != op(e0,e2),
inference(cnf_transformation,[],[f185]) ).
cnf(c_215,plain,
op(e4,e1) != op(e3,e1),
inference(cnf_transformation,[],[f184]) ).
cnf(c_216,plain,
op(e4,e1) != op(e2,e1),
inference(cnf_transformation,[],[f183]) ).
cnf(c_217,plain,
op(e3,e1) != op(e2,e1),
inference(cnf_transformation,[],[f182]) ).
cnf(c_218,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f181]) ).
cnf(c_219,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f180]) ).
cnf(c_220,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f179]) ).
cnf(c_221,plain,
op(e4,e1) != op(e0,e1),
inference(cnf_transformation,[],[f178]) ).
cnf(c_222,plain,
op(e3,e1) != op(e0,e1),
inference(cnf_transformation,[],[f177]) ).
cnf(c_223,plain,
op(e2,e1) != op(e0,e1),
inference(cnf_transformation,[],[f176]) ).
cnf(c_224,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f175]) ).
cnf(c_225,plain,
op(e4,e0) != op(e3,e0),
inference(cnf_transformation,[],[f174]) ).
cnf(c_226,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f173]) ).
cnf(c_227,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f172]) ).
cnf(c_228,plain,
op(e4,e0) != op(e1,e0),
inference(cnf_transformation,[],[f171]) ).
cnf(c_229,plain,
op(e3,e0) != op(e1,e0),
inference(cnf_transformation,[],[f170]) ).
cnf(c_230,plain,
op(e2,e0) != op(e1,e0),
inference(cnf_transformation,[],[f169]) ).
cnf(c_231,plain,
op(e4,e0) != op(e0,e0),
inference(cnf_transformation,[],[f168]) ).
cnf(c_232,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f167]) ).
cnf(c_233,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f166]) ).
cnf(c_234,plain,
op(e1,e0) != op(e0,e0),
inference(cnf_transformation,[],[f165]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f274]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f273]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f272]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f271]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f270]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f269]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f268]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f267]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f266]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f265]) ).
cnf(c_245,plain,
op(e2,e2) = e4,
inference(cnf_transformation,[],[f278]) ).
cnf(c_246,plain,
op(e2,op(e2,e2)) = e3,
inference(cnf_transformation,[],[f277]) ).
cnf(c_247,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
inference(cnf_transformation,[],[f276]) ).
cnf(c_248,plain,
op(op(e2,e2),op(e2,e2)) = e0,
inference(cnf_transformation,[],[f275]) ).
cnf(c_251,plain,
( ~ sP33
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_254,plain,
( ~ sP32
| op(e4,e4) = e2 ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_257,plain,
( ~ sP31
| op(e4,e4) = e1 ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_259,plain,
( ~ sP30
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_262,plain,
( ~ sP29
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_264,plain,
( op(e3,e3) != e3
| ~ sP28 ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_266,plain,
( ~ sP28
| op(e3,e3) = e3 ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_268,plain,
( ~ sP27
| op(e2,e2) = e3 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_272,plain,
( ~ sP26
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_274,plain,
( ~ sP25
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_275,plain,
( ~ sP25
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_277,plain,
( ~ sP24
| op(e4,e4) = e2 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_281,plain,
( ~ sP23
| op(e2,e2) = e3 ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_282,plain,
( op(e2,e2) != e2
| ~ sP22 ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_284,plain,
( ~ sP22
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_287,plain,
( ~ sP21
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_290,plain,
( ~ sP20
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_292,plain,
( ~ sP19
| op(e4,e4) = e1 ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_295,plain,
( ~ sP18
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_298,plain,
( ~ sP17
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_300,plain,
( op(e1,e1) != e1
| ~ sP16 ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_302,plain,
( ~ sP16
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_303,plain,
( op(e1,e0) != e1
| ~ sP15 ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_304,plain,
( ~ sP15
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_305,plain,
( ~ sP15
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_308,plain,
( ~ sP14
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_309,plain,
( op(e0,e3) != e0
| ~ sP13 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_310,plain,
( ~ sP13
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_311,plain,
( ~ sP13
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_313,plain,
( ~ sP12
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_316,plain,
( ~ sP11
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_317,plain,
( ~ sP11
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_318,plain,
( op(e0,e0) != e0
| ~ sP10 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_320,plain,
( ~ sP10
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_321,plain,
( ~ sP9
| op(e4,op(e1,e4)) = e1 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_322,plain,
( op(e1,op(e1,e4)) != e4
| ~ sP9 ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_323,plain,
( ~ sP8
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_324,plain,
( op(e0,op(e0,e4)) != e4
| ~ sP8 ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_325,plain,
( ~ sP7
| op(e3,op(e1,e3)) = e1 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_326,plain,
( op(e1,op(e1,e3)) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_327,plain,
( ~ sP6
| op(e3,op(e0,e3)) = e0 ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_328,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP6 ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_329,plain,
( ~ sP5
| op(e2,op(e1,e2)) = e1 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_330,plain,
( op(e1,op(e1,e2)) != e2
| ~ sP5 ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_331,plain,
( ~ sP4
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_332,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP4 ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_333,plain,
( ~ sP3
| op(e1,op(e1,e1)) = e1 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_334,plain,
( op(e1,op(e1,e1)) != e1
| ~ sP3 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_335,plain,
( ~ sP2
| op(e1,op(e0,e1)) = e0 ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_337,plain,
( ~ sP1
| op(e0,op(e1,e0)) = e1 ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_338,plain,
( op(e1,op(e1,e0)) != e0
| ~ sP1 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_339,plain,
( ~ sP0
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_340,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP0 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_341,negated_conjecture,
( op(e4,e4) != e4
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_343,negated_conjecture,
( op(e4,e4) = e4
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_344,negated_conjecture,
( op(e4,op(e4,e4)) = e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_346,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_348,negated_conjecture,
( op(e4,op(e4,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_350,negated_conjecture,
( op(e4,op(e4,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_352,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e3,e3)) = e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_354,negated_conjecture,
( op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_356,negated_conjecture,
( op(e4,op(e4,e3)) != e3
| op(e3,op(e3,e3)) = e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_358,negated_conjecture,
( op(e4,op(e4,e3)) != e3
| op(e3,op(e3,e3)) != e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f396]) ).
cnf(c_360,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_361,negated_conjecture,
( op(e2,op(e2,e2)) != e2
| op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_362,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_363,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_364,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_365,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_366,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_367,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) != e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_369,negated_conjecture,
( op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| sP3
| sP2 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_370,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_373,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| sP3
| sP2 ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_374,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_376,negated_conjecture,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_377,negated_conjecture,
( op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| sP1
| sP0 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_378,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_381,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| sP1
| sP0 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_383,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| sP1
| sP0 ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_384,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_320,c_320,c_318]) ).
cnf(c_388,plain,
~ sP16,
inference(global_subsumption_just,[status(thm)],[c_302,c_302,c_300]) ).
cnf(c_392,plain,
~ sP22,
inference(global_subsumption_just,[status(thm)],[c_284,c_284,c_282]) ).
cnf(c_398,plain,
~ sP28,
inference(global_subsumption_just,[status(thm)],[c_266,c_266,c_264]) ).
cnf(c_412,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_339,c_339,c_340]) ).
cnf(c_414,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_333,c_333,c_334]) ).
cnf(c_420,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 ),
inference(global_subsumption_just,[status(thm)],[c_376,c_339,c_340,c_376]) ).
cnf(c_421,negated_conjecture,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_420]) ).
cnf(c_424,plain,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_360,c_360,c_361]) ).
cnf(c_425,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_424]) ).
cnf(c_426,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_352,c_352,c_354]) ).
cnf(c_428,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_344,c_344,c_348]) ).
cnf(c_432,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e3,op(e3,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_378,c_339,c_340,c_378]) ).
cnf(c_433,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_432]) ).
cnf(c_434,plain,
( sP1
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| op(e2,op(e2,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_377,c_339,c_340,c_377]) ).
cnf(c_435,negated_conjecture,
( op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| sP1 ),
inference(renaming,[status(thm)],[c_434]) ).
cnf(c_438,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e4,e1)) = e4
| op(e3,op(e3,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_370,c_333,c_334,c_370]) ).
cnf(c_439,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_438]) ).
cnf(c_440,plain,
( op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| op(e2,op(e2,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_369,c_333,c_334,c_369]) ).
cnf(c_441,negated_conjecture,
( op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| sP2 ),
inference(renaming,[status(thm)],[c_440]) ).
cnf(c_442,plain,
( op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_364,c_364,c_365]) ).
cnf(c_443,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_442]) ).
cnf(c_444,plain,
( op(e2,op(e4,e2)) = e4
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_362,c_362,c_363]) ).
cnf(c_445,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_444]) ).
cnf(c_446,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_361,c_425]) ).
cnf(c_448,negated_conjecture,
( op(e4,op(e4,e3)) != e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_356,c_356,c_358]) ).
cnf(c_450,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_354,c_426]) ).
cnf(c_454,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_348,c_428]) ).
cnf(c_456,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_346,c_346,c_350]) ).
cnf(c_462,plain,
( sP1
| op(e0,op(e3,e0)) = e3
| op(e2,op(e2,e0)) != e0
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_381,c_339,c_340,c_381]) ).
cnf(c_463,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| sP1 ),
inference(renaming,[status(thm)],[c_462]) ).
cnf(c_466,plain,
( op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_374,c_333,c_334,c_374]) ).
cnf(c_467,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_466]) ).
cnf(c_468,plain,
( op(e1,op(e3,e1)) = e3
| op(e2,op(e2,e1)) != e1
| op(e4,op(e4,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_373,c_373,c_414]) ).
cnf(c_469,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| sP2 ),
inference(renaming,[status(thm)],[c_468]) ).
cnf(c_472,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_366,c_366,c_367]) ).
cnf(c_473,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_472]) ).
cnf(c_474,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_365,c_443]) ).
cnf(c_476,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_363,c_445]) ).
cnf(c_478,negated_conjecture,
( op(e4,op(e4,e3)) != e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_358,c_448]) ).
cnf(c_484,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_350,c_456]) ).
cnf(c_490,plain,
( sP1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_383,c_383,c_412]) ).
cnf(c_491,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| sP1 ),
inference(renaming,[status(thm)],[c_490]) ).
cnf(c_494,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_367,c_473]) ).
cnf(c_495,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_494]) ).
cnf(c_500,plain,
( sP11
| sP12
| sP13
| sP14
| sP15
| sP23
| sP24
| sP25
| sP26
| sP27
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_343,c_343,c_341,c_384,c_388,c_392,c_398]) ).
cnf(c_501,negated_conjecture,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP24
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP15
| sP14
| sP13
| sP12
| sP11 ),
inference(renaming,[status(thm)],[c_500]) ).
cnf(c_510,plain,
( sP11
| sP12
| sP13
| sP14
| sP15
| sP23
| sP24
| sP25
| sP26
| sP27
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_341,c_501]) ).
cnf(c_511,negated_conjecture,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP24
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP15
| sP14
| sP13
| sP12
| sP11 ),
inference(renaming,[status(thm)],[c_510]) ).
cnf(c_5657,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_511,c_491,c_495,c_469,c_467,c_463,c_484,c_478,c_476,c_474,c_441,c_439,c_435,c_433,c_454,c_450,c_446,c_421,c_338,c_337,c_335,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_317,c_316,c_313,c_311,c_310,c_309,c_308,c_305,c_304,c_303,c_298,c_295,c_292,c_290,c_287,c_281,c_277,c_275,c_274,c_272,c_268,c_262,c_259,c_257,c_254,c_251,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_107,c_104,c_103,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_92,c_90,c_89,c_88,c_86,c_85,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_60,c_58,c_57,c_56,c_53,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG056+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 2 22:46:44 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/1.20 % SZS status Started for theBenchmark.p
% 3.95/1.20 % SZS status Theorem for theBenchmark.p
% 3.95/1.20
% 3.95/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.20
% 3.95/1.20 ------ iProver source info
% 3.95/1.20
% 3.95/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.95/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/1.20 git: non_committed_changes: false
% 3.95/1.20
% 3.95/1.20 ------ Parsing...
% 3.95/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.95/1.20
% 3.95/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e
% 3.95/1.20
% 3.95/1.20 ------ Preprocessing...
% 3.95/1.20
% 3.95/1.20 % SZS status Theorem for theBenchmark.p
% 3.95/1.20
% 3.95/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.20
% 3.95/1.20
%------------------------------------------------------------------------------