TSTP Solution File: ALG058+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:03:30 EDT 2024
% Result : Theorem 4.13s 1.11s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 161
% Syntax : Number of formulae : 743 ( 153 unt; 0 def)
% Number of atoms : 4362 (3281 equ)
% Maximal formula atoms : 450 ( 5 avg)
% Number of connectives : 5738 (2119 ~;2039 |;1580 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 156 ( 154 usr; 155 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 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(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
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(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,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 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| 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 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| 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 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1)
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2)
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0)
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3)
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0)
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1)
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2)
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1)
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2)
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3)
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2)
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1)
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3)
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4)
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0)
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1)
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2)
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0)
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1)
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2)
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0)
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1)
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3)
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4)
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2)
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f63,plain,
( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3)
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f64,plain,
( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4)
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1)
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2)
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f68,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f69,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0)
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2)
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3)
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0)
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f76,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f77,plain,
( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2)
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3)
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f79,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0)
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f83,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f84,plain,
( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4)
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f86,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2)
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3)
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4)
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f90,plain,
( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0)
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1)
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2)
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3)
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0)
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1)
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3)
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4)
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0)
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3)
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4)
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f106,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f107,plain,
( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2)
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3)
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f110,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f111,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f112,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f113,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4)
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f115,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f116,plain,
( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1)
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f117,plain,
( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2)
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3)
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4)
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1)
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2)
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3)
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f124,plain,
( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4)
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f125,plain,
( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0)
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f126,plain,
( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1)
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f127,plain,
( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2)
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f128,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4)
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f130,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f131,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f132,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f133,plain,
( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f134,plain,
( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4)
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f140,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f141,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f142,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f143,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f144,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f145,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f146,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f147,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f148,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f149,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f150,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f151,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f152,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f153,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f154,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP144 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])]) ).
fof(f155,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP145 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])]) ).
fof(f156,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP146 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])]) ).
fof(f157,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP147 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).
fof(f158,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP148 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])]) ).
fof(f159,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP149 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])]) ).
fof(f160,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP150 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).
fof(f161,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP151 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).
fof(f162,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP152 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).
fof(f163,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP153 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])]) ).
fof(f164,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 )
& ( sP129
| sP128
| sP127
| sP126
| sP125 ) ),
inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,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(f165,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP153 ),
inference(nnf_transformation,[],[f163]) ).
fof(f166,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP152 ),
inference(nnf_transformation,[],[f162]) ).
fof(f167,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP151 ),
inference(nnf_transformation,[],[f161]) ).
fof(f168,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP150 ),
inference(nnf_transformation,[],[f160]) ).
fof(f169,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP149 ),
inference(nnf_transformation,[],[f159]) ).
fof(f170,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP148 ),
inference(nnf_transformation,[],[f158]) ).
fof(f171,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP147 ),
inference(nnf_transformation,[],[f157]) ).
fof(f172,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP146 ),
inference(nnf_transformation,[],[f156]) ).
fof(f173,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP145 ),
inference(nnf_transformation,[],[f155]) ).
fof(f174,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP144 ),
inference(nnf_transformation,[],[f154]) ).
fof(f175,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP143 ),
inference(nnf_transformation,[],[f153]) ).
fof(f176,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP142 ),
inference(nnf_transformation,[],[f152]) ).
fof(f177,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP141 ),
inference(nnf_transformation,[],[f151]) ).
fof(f178,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP140 ),
inference(nnf_transformation,[],[f150]) ).
fof(f179,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP139 ),
inference(nnf_transformation,[],[f149]) ).
fof(f180,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP138 ),
inference(nnf_transformation,[],[f148]) ).
fof(f181,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP137 ),
inference(nnf_transformation,[],[f147]) ).
fof(f182,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP136 ),
inference(nnf_transformation,[],[f146]) ).
fof(f183,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP135 ),
inference(nnf_transformation,[],[f145]) ).
fof(f184,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP134 ),
inference(nnf_transformation,[],[f144]) ).
fof(f185,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP133 ),
inference(nnf_transformation,[],[f143]) ).
fof(f186,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP132 ),
inference(nnf_transformation,[],[f142]) ).
fof(f187,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP131 ),
inference(nnf_transformation,[],[f141]) ).
fof(f188,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP130 ),
inference(nnf_transformation,[],[f140]) ).
fof(f189,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f190,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f191,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f192,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f193,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f200,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP118 ),
inference(nnf_transformation,[],[f128]) ).
fof(f218,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
inference(nnf_transformation,[],[f110]) ).
fof(f219,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP99 ),
inference(nnf_transformation,[],[f109]) ).
fof(f231,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP87 ),
inference(nnf_transformation,[],[f97]) ).
fof(f234,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP84 ),
inference(nnf_transformation,[],[f94]) ).
fof(f239,plain,
( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4)
| ~ sP79 ),
inference(nnf_transformation,[],[f89]) ).
fof(f245,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
inference(nnf_transformation,[],[f83]) ).
fof(f246,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP72 ),
inference(nnf_transformation,[],[f82]) ).
fof(f247,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP71 ),
inference(nnf_transformation,[],[f81]) ).
fof(f249,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
inference(nnf_transformation,[],[f79]) ).
fof(f254,plain,
( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4)
| ~ sP64 ),
inference(nnf_transformation,[],[f74]) ).
fof(f257,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP61 ),
inference(nnf_transformation,[],[f71]) ).
fof(f260,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f264,plain,
( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4)
| ~ sP54 ),
inference(nnf_transformation,[],[f64]) ).
fof(f265,plain,
( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3)
| ~ sP53 ),
inference(nnf_transformation,[],[f63]) ).
fof(f266,plain,
( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2)
| ~ sP52 ),
inference(nnf_transformation,[],[f62]) ).
fof(f267,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
inference(nnf_transformation,[],[f61]) ).
fof(f268,plain,
( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2
| ~ sP50 ),
inference(nnf_transformation,[],[f60]) ).
fof(f270,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP48 ),
inference(nnf_transformation,[],[f58]) ).
fof(f272,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP46 ),
inference(nnf_transformation,[],[f56]) ).
fof(f273,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
inference(nnf_transformation,[],[f55]) ).
fof(f276,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP42 ),
inference(nnf_transformation,[],[f52]) ).
fof(f279,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP39 ),
inference(nnf_transformation,[],[f49]) ).
fof(f284,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f285,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f289,plain,
( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4)
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f294,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f295,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f296,plain,
( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2)
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f298,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f299,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f304,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f305,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f312,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f319,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f323,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(f324,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(f331,plain,
( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f335,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(f338,plain,
( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f339,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(f344,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,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(f364,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(f367,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(f370,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(f371,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(f372,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(f374,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(f375,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(f376,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(f385,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(f386,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(f390,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(f391,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(f395,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f397,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(f398,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f400,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(f402,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f405,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f406,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f407,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f410,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f411,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f412,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f413,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f414,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f420,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f429,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f430,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f433,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f434,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f437,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f447,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f448,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f451,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f452,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f454,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f455,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f456,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f458,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f462,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f465,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f469,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f470,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f475,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f476,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f479,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f483,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f487,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f489,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f490,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f491,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f492,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f493,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f494,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f498,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f501,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f503,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f504,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f505,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f506,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f507,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f508,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f509,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f510,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f511,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f512,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f513,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f514,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f515,plain,
e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f516,plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f517,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f518,plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f519,plain,
( e3 = op(e4,e4)
| ~ sP153 ),
inference(cnf_transformation,[],[f165]) ).
fof(f523,plain,
( e4 = op(e2,e2)
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f526,plain,
( e4 = op(e1,e1)
| ~ sP151 ),
inference(cnf_transformation,[],[f167]) ).
fof(f528,plain,
( e0 = op(e4,e4)
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f529,plain,
( op(e0,e0) = e4
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f530,plain,
( e4 != op(e4,e0)
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f532,plain,
( e3 = op(e4,e4)
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f533,plain,
( e3 != op(e3,e4)
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f534,plain,
( e3 = op(e3,e3)
| ~ sP148 ),
inference(cnf_transformation,[],[f170]) ).
fof(f536,plain,
( e3 != op(e3,e3)
| ~ sP148 ),
inference(cnf_transformation,[],[f170]) ).
fof(f537,plain,
( e2 = op(e3,e3)
| ~ sP147 ),
inference(cnf_transformation,[],[f171]) ).
fof(f540,plain,
( e1 = op(e3,e3)
| ~ sP146 ),
inference(cnf_transformation,[],[f172]) ).
fof(f543,plain,
( e0 = op(e3,e3)
| ~ sP145 ),
inference(cnf_transformation,[],[f173]) ).
fof(f546,plain,
( e4 = op(e2,e2)
| ~ sP144 ),
inference(cnf_transformation,[],[f174]) ).
fof(f550,plain,
( e2 = op(e3,e3)
| ~ sP143 ),
inference(cnf_transformation,[],[f175]) ).
fof(f552,plain,
( e2 = op(e2,e2)
| ~ sP142 ),
inference(cnf_transformation,[],[f176]) ).
fof(f554,plain,
( e2 != op(e2,e2)
| ~ sP142 ),
inference(cnf_transformation,[],[f176]) ).
fof(f555,plain,
( e1 = op(e2,e2)
| ~ sP141 ),
inference(cnf_transformation,[],[f177]) ).
fof(f558,plain,
( e0 = op(e2,e2)
| ~ sP140 ),
inference(cnf_transformation,[],[f178]) ).
fof(f561,plain,
( e4 = op(e1,e1)
| ~ sP139 ),
inference(cnf_transformation,[],[f179]) ).
fof(f565,plain,
( e1 = op(e3,e3)
| ~ sP138 ),
inference(cnf_transformation,[],[f180]) ).
fof(f568,plain,
( e1 = op(e2,e2)
| ~ sP137 ),
inference(cnf_transformation,[],[f181]) ).
fof(f570,plain,
( e1 = op(e1,e1)
| ~ sP136 ),
inference(cnf_transformation,[],[f182]) ).
fof(f572,plain,
( e1 != op(e1,e1)
| ~ sP136 ),
inference(cnf_transformation,[],[f182]) ).
fof(f574,plain,
( op(e0,e0) = e1
| ~ sP135 ),
inference(cnf_transformation,[],[f183]) ).
fof(f576,plain,
( op(e0,e0) = e4
| ~ sP134 ),
inference(cnf_transformation,[],[f184]) ).
fof(f577,plain,
( e0 = op(e4,e4)
| ~ sP134 ),
inference(cnf_transformation,[],[f184]) ).
fof(f578,plain,
( e0 != op(e0,e4)
| ~ sP134 ),
inference(cnf_transformation,[],[f184]) ).
fof(f580,plain,
( e0 = op(e3,e3)
| ~ sP133 ),
inference(cnf_transformation,[],[f185]) ).
fof(f583,plain,
( e0 = op(e2,e2)
| ~ sP132 ),
inference(cnf_transformation,[],[f186]) ).
fof(f585,plain,
( op(e0,e0) = e1
| ~ sP131 ),
inference(cnf_transformation,[],[f187]) ).
fof(f588,plain,
( e0 = op(e0,e0)
| ~ sP130 ),
inference(cnf_transformation,[],[f188]) ).
fof(f590,plain,
( e0 != op(e0,e0)
| ~ sP130 ),
inference(cnf_transformation,[],[f188]) ).
fof(f591,plain,
( sP100
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f609,plain,
( sP118
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f620,plain,
( sP79
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f625,plain,
( sP84
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f628,plain,
( sP87
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f640,plain,
( sP99
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f641,plain,
( sP50
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f642,plain,
( sP51
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f643,plain,
( sP52
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f644,plain,
( sP53
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f645,plain,
( sP54
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f649,plain,
( sP58
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f652,plain,
( sP61
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f655,plain,
( sP64
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f660,plain,
( sP69
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f662,plain,
( sP71
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f663,plain,
( sP72
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f664,plain,
( sP73
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f670,plain,
( sP29
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f674,plain,
( sP33
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f675,plain,
( sP34
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f680,plain,
( sP39
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f683,plain,
( sP42
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f686,plain,
( sP45
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f687,plain,
( sP46
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f689,plain,
( sP48
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f697,plain,
( sP6
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f704,plain,
( sP13
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f705,plain,
( sP14
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f710,plain,
( sP19
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f711,plain,
( sP20
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f713,plain,
( sP22
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f714,plain,
( sP23
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f715,plain,
( sP24
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f728,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3)
| ~ sP118 ),
inference(cnf_transformation,[],[f200]) ).
fof(f764,plain,
( e0 = op(e0,e4)
| op(e0,e0) != e4
| ~ sP100 ),
inference(cnf_transformation,[],[f218]) ).
fof(f766,plain,
( e4 = op(e4,e3)
| e3 != op(e4,e4)
| ~ sP99 ),
inference(cnf_transformation,[],[f219]) ).
fof(f790,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f231]) ).
fof(f796,plain,
( e4 = op(e1,e3)
| e3 != op(e1,e4)
| ~ sP84 ),
inference(cnf_transformation,[],[f234]) ).
fof(f806,plain,
( e4 = op(e0,e3)
| e3 != op(e0,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f239]) ).
fof(f818,plain,
( e3 = op(e4,e2)
| e2 != op(e4,e3)
| ~ sP73 ),
inference(cnf_transformation,[],[f245]) ).
fof(f821,plain,
( e2 != unit
| e2 != op(e4,e2)
| ~ sP72 ),
inference(cnf_transformation,[],[f246]) ).
fof(f822,plain,
( e1 = op(e4,e2)
| e2 != op(e4,e1)
| ~ sP71 ),
inference(cnf_transformation,[],[f247]) ).
fof(f826,plain,
( e4 = op(e3,e2)
| e2 != op(e3,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f249]) ).
fof(f836,plain,
( e4 = op(e2,e2)
| e2 != op(e2,e4)
| ~ sP64 ),
inference(cnf_transformation,[],[f254]) ).
fof(f842,plain,
( e1 = op(e2,e2)
| e2 != op(e2,e1)
| ~ sP61 ),
inference(cnf_transformation,[],[f257]) ).
fof(f848,plain,
( e3 = op(e1,e2)
| e2 != op(e1,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f260]) ).
fof(f856,plain,
( e4 = op(e0,e2)
| e2 != op(e0,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f264]) ).
fof(f857,plain,
( e2 != unit
| e2 != op(e0,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f264]) ).
fof(f858,plain,
( e3 = op(e0,e2)
| e2 != op(e0,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f265]) ).
fof(f859,plain,
( e2 != unit
| e2 != op(e0,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f265]) ).
fof(f861,plain,
( e2 != unit
| e2 != op(e0,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f266]) ).
fof(f862,plain,
( e1 = op(e0,e2)
| e2 != op(e0,e1)
| ~ sP51 ),
inference(cnf_transformation,[],[f267]) ).
fof(f863,plain,
( e2 != unit
| e2 != op(e0,e1)
| ~ sP51 ),
inference(cnf_transformation,[],[f267]) ).
fof(f865,plain,
( e2 != unit
| op(e0,e0) != e2
| ~ sP50 ),
inference(cnf_transformation,[],[f268]) ).
fof(f868,plain,
( e3 = op(e4,e1)
| e1 != op(e4,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f270]) ).
fof(f873,plain,
( e1 != unit
| e1 != op(e4,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f272]) ).
fof(f874,plain,
( e0 = op(e4,e1)
| e1 != op(e4,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f273]) ).
fof(f880,plain,
( e2 = op(e3,e1)
| e1 != op(e3,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f276]) ).
fof(f881,plain,
( e1 != unit
| e1 != op(e3,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f276]) ).
fof(f886,plain,
( e4 = op(e2,e1)
| e1 != op(e2,e4)
| ~ sP39 ),
inference(cnf_transformation,[],[f279]) ).
fof(f896,plain,
( e4 = op(e1,e1)
| e1 != op(e1,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f284]) ).
fof(f898,plain,
( e3 = op(e1,e1)
| e1 != op(e1,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f285]) ).
fof(f906,plain,
( e4 = op(e0,e1)
| e1 != op(e0,e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f289]) ).
fof(f916,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f294]) ).
fof(f918,plain,
( e3 = op(e4,e0)
| e0 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f295]) ).
fof(f920,plain,
( e2 = op(e4,e0)
| e0 != op(e4,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f296]) ).
fof(f925,plain,
( e0 != unit
| e0 != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f298]) ).
fof(f926,plain,
( e4 = op(e3,e0)
| e0 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f299]) ).
fof(f936,plain,
( e4 = op(e2,e0)
| e0 != op(e2,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f304]) ).
fof(f938,plain,
( e3 = op(e2,e0)
| e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f305]) ).
fof(f952,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f953,plain,
( e0 != unit
| e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f966,plain,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f164]) ).
fof(f967,plain,
( e4 = op(e4,e4)
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f164]) ).
fof(f969,plain,
( e4 != op(e4,e4)
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f164]) ).
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,[],[f339]) ).
cnf(c_54,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(cnf_transformation,[],[f338]) ).
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,[],[f335]) ).
cnf(c_61,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f331]) ).
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,[],[f324]) ).
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,[],[f323]) ).
cnf(c_73,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_74,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_81,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f347]) ).
cnf(c_82,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f346]) ).
cnf(c_83,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f345]) ).
cnf(c_84,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f344]) ).
cnf(c_87,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[],[f402]) ).
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,[],[f400]) ).
cnf(c_91,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[],[f398]) ).
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,[],[f397]) ).
cnf(c_94,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[],[f395]) ).
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,[],[f391]) ).
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,[],[f390]) ).
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,[],[f386]) ).
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,[],[f385]) ).
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,[],[f376]) ).
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,[],[f375]) ).
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,[],[f374]) ).
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,[],[f372]) ).
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,[],[f371]) ).
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,[],[f370]) ).
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,[],[f367]) ).
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,[],[f364]) ).
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,[],[f359]) ).
cnf(c_135,plain,
op(e4,e4) != op(e4,e3),
inference(cnf_transformation,[],[f504]) ).
cnf(c_136,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f503]) ).
cnf(c_138,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f501]) ).
cnf(c_141,plain,
op(e4,e4) != op(e4,e0),
inference(cnf_transformation,[],[f498]) ).
cnf(c_145,plain,
op(e3,e4) != op(e3,e3),
inference(cnf_transformation,[],[f494]) ).
cnf(c_146,plain,
op(e3,e4) != op(e3,e2),
inference(cnf_transformation,[],[f493]) ).
cnf(c_147,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f492]) ).
cnf(c_148,plain,
op(e3,e4) != op(e3,e1),
inference(cnf_transformation,[],[f491]) ).
cnf(c_149,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f490]) ).
cnf(c_150,plain,
op(e3,e2) != op(e3,e1),
inference(cnf_transformation,[],[f489]) ).
cnf(c_152,plain,
op(e3,e3) != op(e3,e0),
inference(cnf_transformation,[],[f487]) ).
cnf(c_156,plain,
op(e2,e4) != op(e2,e2),
inference(cnf_transformation,[],[f483]) ).
cnf(c_160,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,plain,
op(e2,e2) != op(e2,e0),
inference(cnf_transformation,[],[f476]) ).
cnf(c_164,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f470]) ).
cnf(c_170,plain,
op(e1,e2) != op(e1,e1),
inference(cnf_transformation,[],[f469]) ).
cnf(c_174,plain,
op(e1,e1) != op(e1,e0),
inference(cnf_transformation,[],[f465]) ).
cnf(c_177,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f462]) ).
cnf(c_181,plain,
op(e0,e4) != op(e0,e0),
inference(cnf_transformation,[],[f458]) ).
cnf(c_183,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f456]) ).
cnf(c_184,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f455]) ).
cnf(c_185,plain,
op(e4,e4) != op(e3,e4),
inference(cnf_transformation,[],[f454]) ).
cnf(c_187,plain,
op(e3,e4) != op(e2,e4),
inference(cnf_transformation,[],[f452]) ).
cnf(c_188,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f451]) ).
cnf(c_191,plain,
op(e4,e4) != op(e0,e4),
inference(cnf_transformation,[],[f448]) ).
cnf(c_192,plain,
op(e3,e4) != op(e0,e4),
inference(cnf_transformation,[],[f447]) ).
cnf(c_195,plain,
op(e4,e3) != op(e3,e3),
inference(cnf_transformation,[],[f444]) ).
cnf(c_199,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f440]) ).
cnf(c_202,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f437]) ).
cnf(c_205,plain,
op(e4,e2) != op(e3,e2),
inference(cnf_transformation,[],[f434]) ).
cnf(c_206,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f433]) ).
cnf(c_209,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f430]) ).
cnf(c_210,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f429]) ).
cnf(c_212,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f427]) ).
cnf(c_213,plain,
op(e2,e2) != op(e0,e2),
inference(cnf_transformation,[],[f426]) ).
cnf(c_218,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f421]) ).
cnf(c_219,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f420]) ).
cnf(c_220,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f419]) ).
cnf(c_225,plain,
op(e4,e0) != op(e3,e0),
inference(cnf_transformation,[],[f414]) ).
cnf(c_226,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f413]) ).
cnf(c_227,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f412]) ).
cnf(c_228,plain,
op(e4,e0) != op(e1,e0),
inference(cnf_transformation,[],[f411]) ).
cnf(c_229,plain,
op(e3,e0) != op(e1,e0),
inference(cnf_transformation,[],[f410]) ).
cnf(c_231,plain,
op(e4,e0) != op(e0,e0),
inference(cnf_transformation,[],[f408]) ).
cnf(c_232,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f407]) ).
cnf(c_233,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f406]) ).
cnf(c_234,plain,
op(e1,e0) != op(e0,e0),
inference(cnf_transformation,[],[f405]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f514]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f513]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f512]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f511]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f510]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f509]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f508]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f507]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f506]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f505]) ).
cnf(c_245,plain,
op(op(e2,e2),op(e2,e2)) = e4,
inference(cnf_transformation,[],[f518]) ).
cnf(c_246,plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],[f517]) ).
cnf(c_247,plain,
op(op(e2,e2),e2) = e1,
inference(cnf_transformation,[],[f516]) ).
cnf(c_248,plain,
op(op(op(e2,e2),e2),op(op(e2,e2),e2)) = e0,
inference(cnf_transformation,[],[f515]) ).
cnf(c_251,plain,
( ~ sP153
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_253,plain,
( ~ sP152
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f523]) ).
cnf(c_256,plain,
( ~ sP151
| op(e1,e1) = e4 ),
inference(cnf_transformation,[],[f526]) ).
cnf(c_258,plain,
( op(e4,e0) != e4
| ~ sP150 ),
inference(cnf_transformation,[],[f530]) ).
cnf(c_259,plain,
( ~ sP150
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f529]) ).
cnf(c_260,plain,
( ~ sP150
| op(e4,e4) = e0 ),
inference(cnf_transformation,[],[f528]) ).
cnf(c_261,plain,
( op(e3,e4) != e3
| ~ sP149 ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_262,plain,
( ~ sP149
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f532]) ).
cnf(c_264,plain,
( op(e3,e3) != e3
| ~ sP148 ),
inference(cnf_transformation,[],[f536]) ).
cnf(c_266,plain,
( ~ sP148
| op(e3,e3) = e3 ),
inference(cnf_transformation,[],[f534]) ).
cnf(c_269,plain,
( ~ sP147
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f537]) ).
cnf(c_272,plain,
( ~ sP146
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_275,plain,
( ~ sP145
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f543]) ).
cnf(c_278,plain,
( ~ sP144
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_280,plain,
( ~ sP143
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f550]) ).
cnf(c_282,plain,
( op(e2,e2) != e2
| ~ sP142 ),
inference(cnf_transformation,[],[f554]) ).
cnf(c_284,plain,
( ~ sP142
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f552]) ).
cnf(c_287,plain,
( ~ sP141
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f555]) ).
cnf(c_290,plain,
( ~ sP140
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f558]) ).
cnf(c_293,plain,
( ~ sP139
| op(e1,e1) = e4 ),
inference(cnf_transformation,[],[f561]) ).
cnf(c_295,plain,
( ~ sP138
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_298,plain,
( ~ sP137
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_300,plain,
( op(e1,e1) != e1
| ~ sP136 ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_302,plain,
( ~ sP136
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_304,plain,
( ~ sP135
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_306,plain,
( op(e0,e4) != e0
| ~ sP134 ),
inference(cnf_transformation,[],[f578]) ).
cnf(c_307,plain,
( ~ sP134
| op(e4,e4) = e0 ),
inference(cnf_transformation,[],[f577]) ).
cnf(c_308,plain,
( ~ sP134
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_310,plain,
( ~ sP133
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f580]) ).
cnf(c_313,plain,
( ~ sP132
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f583]) ).
cnf(c_317,plain,
( ~ sP131
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f585]) ).
cnf(c_318,plain,
( op(e0,e0) != e0
| ~ sP130 ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_320,plain,
( ~ sP130
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f588]) ).
cnf(c_327,plain,
( ~ sP129
| sP118 ),
inference(cnf_transformation,[],[f609]) ).
cnf(c_345,plain,
( ~ sP129
| sP100 ),
inference(cnf_transformation,[],[f591]) ).
cnf(c_346,plain,
( ~ sP128
| sP99 ),
inference(cnf_transformation,[],[f640]) ).
cnf(c_358,plain,
( ~ sP128
| sP87 ),
inference(cnf_transformation,[],[f628]) ).
cnf(c_361,plain,
( ~ sP128
| sP84 ),
inference(cnf_transformation,[],[f625]) ).
cnf(c_366,plain,
( ~ sP128
| sP79 ),
inference(cnf_transformation,[],[f620]) ).
cnf(c_372,plain,
( ~ sP127
| sP73 ),
inference(cnf_transformation,[],[f664]) ).
cnf(c_373,plain,
( ~ sP127
| sP72 ),
inference(cnf_transformation,[],[f663]) ).
cnf(c_374,plain,
( ~ sP127
| sP71 ),
inference(cnf_transformation,[],[f662]) ).
cnf(c_376,plain,
( ~ sP127
| sP69 ),
inference(cnf_transformation,[],[f660]) ).
cnf(c_381,plain,
( ~ sP127
| sP64 ),
inference(cnf_transformation,[],[f655]) ).
cnf(c_384,plain,
( ~ sP127
| sP61 ),
inference(cnf_transformation,[],[f652]) ).
cnf(c_387,plain,
( ~ sP127
| sP58 ),
inference(cnf_transformation,[],[f649]) ).
cnf(c_391,plain,
( ~ sP127
| sP54 ),
inference(cnf_transformation,[],[f645]) ).
cnf(c_392,plain,
( ~ sP127
| sP53 ),
inference(cnf_transformation,[],[f644]) ).
cnf(c_393,plain,
( ~ sP127
| sP52 ),
inference(cnf_transformation,[],[f643]) ).
cnf(c_394,plain,
( ~ sP127
| sP51 ),
inference(cnf_transformation,[],[f642]) ).
cnf(c_395,plain,
( ~ sP127
| sP50 ),
inference(cnf_transformation,[],[f641]) ).
cnf(c_397,plain,
( ~ sP126
| sP48 ),
inference(cnf_transformation,[],[f689]) ).
cnf(c_399,plain,
( ~ sP126
| sP46 ),
inference(cnf_transformation,[],[f687]) ).
cnf(c_400,plain,
( ~ sP126
| sP45 ),
inference(cnf_transformation,[],[f686]) ).
cnf(c_403,plain,
( ~ sP126
| sP42 ),
inference(cnf_transformation,[],[f683]) ).
cnf(c_406,plain,
( ~ sP126
| sP39 ),
inference(cnf_transformation,[],[f680]) ).
cnf(c_411,plain,
( ~ sP126
| sP34 ),
inference(cnf_transformation,[],[f675]) ).
cnf(c_412,plain,
( ~ sP126
| sP33 ),
inference(cnf_transformation,[],[f674]) ).
cnf(c_416,plain,
( ~ sP126
| sP29 ),
inference(cnf_transformation,[],[f670]) ).
cnf(c_421,plain,
( ~ sP125
| sP24 ),
inference(cnf_transformation,[],[f715]) ).
cnf(c_422,plain,
( ~ sP125
| sP23 ),
inference(cnf_transformation,[],[f714]) ).
cnf(c_423,plain,
( ~ sP125
| sP22 ),
inference(cnf_transformation,[],[f713]) ).
cnf(c_425,plain,
( ~ sP125
| sP20 ),
inference(cnf_transformation,[],[f711]) ).
cnf(c_426,plain,
( ~ sP125
| sP19 ),
inference(cnf_transformation,[],[f710]) ).
cnf(c_431,plain,
( ~ sP125
| sP14 ),
inference(cnf_transformation,[],[f705]) ).
cnf(c_432,plain,
( ~ sP125
| sP13 ),
inference(cnf_transformation,[],[f704]) ).
cnf(c_439,plain,
( ~ sP125
| sP6 ),
inference(cnf_transformation,[],[f697]) ).
cnf(c_457,plain,
( op(e3,e3) != e4
| ~ sP118
| op(e3,e4) = e3 ),
inference(cnf_transformation,[],[f728]) ).
cnf(c_490,plain,
( op(e0,e0) != e4
| ~ sP100
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],[f764]) ).
cnf(c_492,plain,
( op(e4,e4) != e3
| ~ sP99
| op(e4,e3) = e4 ),
inference(cnf_transformation,[],[f766]) ).
cnf(c_513,plain,
( op(e2,e2) != e3
| ~ sP87
| op(e2,e3) = e2 ),
inference(cnf_transformation,[],[f790]) ).
cnf(c_519,plain,
( op(e1,e4) != e3
| ~ sP84
| op(e1,e3) = e4 ),
inference(cnf_transformation,[],[f796]) ).
cnf(c_528,plain,
( op(e0,e4) != e3
| ~ sP79
| op(e0,e3) = e4 ),
inference(cnf_transformation,[],[f806]) ).
cnf(c_539,plain,
( op(e4,e3) != e2
| ~ sP73
| op(e4,e2) = e3 ),
inference(cnf_transformation,[],[f818]) ).
cnf(c_540,plain,
( op(e4,e2) != e2
| e2 != unit
| ~ sP72 ),
inference(cnf_transformation,[],[f821]) ).
cnf(c_542,plain,
( op(e4,e1) != e2
| ~ sP71
| op(e4,e2) = e1 ),
inference(cnf_transformation,[],[f822]) ).
cnf(c_546,plain,
( op(e3,e4) != e2
| ~ sP69
| op(e3,e2) = e4 ),
inference(cnf_transformation,[],[f826]) ).
cnf(c_555,plain,
( op(e2,e4) != e2
| ~ sP64
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f836]) ).
cnf(c_560,plain,
( op(e2,e1) != e2
| ~ sP61
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f842]) ).
cnf(c_566,plain,
( op(e1,e3) != e2
| ~ sP58
| op(e1,e2) = e3 ),
inference(cnf_transformation,[],[f848]) ).
cnf(c_572,plain,
( op(e0,e4) != e2
| e2 != unit
| ~ sP54 ),
inference(cnf_transformation,[],[f857]) ).
cnf(c_573,plain,
( op(e0,e4) != e2
| ~ sP54
| op(e0,e2) = e4 ),
inference(cnf_transformation,[],[f856]) ).
cnf(c_574,plain,
( op(e0,e3) != e2
| e2 != unit
| ~ sP53 ),
inference(cnf_transformation,[],[f859]) ).
cnf(c_575,plain,
( op(e0,e3) != e2
| ~ sP53
| op(e0,e2) = e3 ),
inference(cnf_transformation,[],[f858]) ).
cnf(c_576,plain,
( op(e0,e2) != e2
| e2 != unit
| ~ sP52 ),
inference(cnf_transformation,[],[f861]) ).
cnf(c_577,plain,
( op(e0,e1) != e2
| e2 != unit
| ~ sP51 ),
inference(cnf_transformation,[],[f863]) ).
cnf(c_578,plain,
( op(e0,e1) != e2
| ~ sP51
| op(e0,e2) = e1 ),
inference(cnf_transformation,[],[f862]) ).
cnf(c_579,plain,
( op(e0,e0) != e2
| e2 != unit
| ~ sP50 ),
inference(cnf_transformation,[],[f865]) ).
cnf(c_584,plain,
( op(e4,e3) != e1
| ~ sP48
| op(e4,e1) = e3 ),
inference(cnf_transformation,[],[f868]) ).
cnf(c_587,plain,
( op(e4,e1) != e1
| e1 != unit
| ~ sP46 ),
inference(cnf_transformation,[],[f873]) ).
cnf(c_589,plain,
( op(e4,e0) != e1
| ~ sP45
| op(e4,e1) = e0 ),
inference(cnf_transformation,[],[f874]) ).
cnf(c_594,plain,
( op(e3,e2) != e1
| e1 != unit
| ~ sP42 ),
inference(cnf_transformation,[],[f881]) ).
cnf(c_595,plain,
( op(e3,e2) != e1
| ~ sP42
| op(e3,e1) = e2 ),
inference(cnf_transformation,[],[f880]) ).
cnf(c_600,plain,
( op(e2,e4) != e1
| ~ sP39
| op(e2,e1) = e4 ),
inference(cnf_transformation,[],[f886]) ).
cnf(c_609,plain,
( op(e1,e4) != e1
| ~ sP34
| op(e1,e1) = e4 ),
inference(cnf_transformation,[],[f896]) ).
cnf(c_611,plain,
( op(e1,e3) != e1
| ~ sP33
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f898]) ).
cnf(c_618,plain,
( op(e0,e4) != e1
| ~ sP29
| op(e0,e1) = e4 ),
inference(cnf_transformation,[],[f906]) ).
cnf(c_627,plain,
( op(e4,e4) != e0
| ~ sP24
| op(e4,e0) = e4 ),
inference(cnf_transformation,[],[f916]) ).
cnf(c_629,plain,
( op(e4,e3) != e0
| ~ sP23
| op(e4,e0) = e3 ),
inference(cnf_transformation,[],[f918]) ).
cnf(c_631,plain,
( op(e4,e2) != e0
| ~ sP22
| op(e4,e0) = e2 ),
inference(cnf_transformation,[],[f920]) ).
cnf(c_634,plain,
( op(e4,e0) != e0
| e0 != unit
| ~ sP20 ),
inference(cnf_transformation,[],[f925]) ).
cnf(c_636,plain,
( op(e3,e4) != e0
| ~ sP19
| op(e3,e0) = e4 ),
inference(cnf_transformation,[],[f926]) ).
cnf(c_645,plain,
( op(e2,e4) != e0
| ~ sP14
| op(e2,e0) = e4 ),
inference(cnf_transformation,[],[f936]) ).
cnf(c_647,plain,
( op(e2,e3) != e0
| ~ sP13
| op(e2,e0) = e3 ),
inference(cnf_transformation,[],[f938]) ).
cnf(c_659,plain,
( op(e1,e1) != e0
| e0 != unit
| ~ sP6 ),
inference(cnf_transformation,[],[f953]) ).
cnf(c_660,plain,
( op(e1,e1) != e0
| ~ sP6
| op(e1,e0) = e1 ),
inference(cnf_transformation,[],[f952]) ).
cnf(c_671,negated_conjecture,
( op(e4,e4) != e4
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f969]) ).
cnf(c_673,negated_conjecture,
( op(e4,e4) = e4
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f967]) ).
cnf(c_674,negated_conjecture,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f966]) ).
cnf(c_675,plain,
~ sP130,
inference(global_subsumption_just,[status(thm)],[c_320,c_320,c_318]) ).
cnf(c_679,plain,
~ sP136,
inference(global_subsumption_just,[status(thm)],[c_302,c_302,c_300]) ).
cnf(c_683,plain,
~ sP142,
inference(global_subsumption_just,[status(thm)],[c_284,c_284,c_282]) ).
cnf(c_691,plain,
~ sP148,
inference(global_subsumption_just,[status(thm)],[c_266,c_266,c_264]) ).
cnf(c_707,plain,
( ~ sP87
| op(e2,e3) = e2 ),
inference(global_subsumption_just,[status(thm)],[c_513,c_246,c_513]) ).
cnf(c_709,plain,
( sP131
| sP132
| sP133
| sP134
| sP135
| sP143
| sP144
| sP145
| sP146
| sP147
| sP153
| sP152
| sP151
| sP150
| sP149
| sP141
| sP140
| sP139
| sP138
| sP137 ),
inference(global_subsumption_just,[status(thm)],[c_673,c_673,c_671,c_675,c_679,c_683,c_691]) ).
cnf(c_710,negated_conjecture,
( sP153
| sP152
| sP151
| sP150
| sP149
| sP147
| sP146
| sP145
| sP144
| sP143
| sP141
| sP140
| sP139
| sP138
| sP137
| sP135
| sP134
| sP133
| sP132
| sP131 ),
inference(renaming,[status(thm)],[c_709]) ).
cnf(c_717,plain,
op(e2,e2) = e3,
inference(global_subsumption_just,[status(thm)],[c_61,c_246]) ).
cnf(c_719,plain,
( sP131
| sP132
| sP133
| sP134
| sP135
| sP143
| sP144
| sP145
| sP146
| sP147
| sP153
| sP152
| sP151
| sP150
| sP149
| sP141
| sP140
| sP139
| sP138
| sP137 ),
inference(global_subsumption_just,[status(thm)],[c_671,c_710]) ).
cnf(c_720,negated_conjecture,
( sP153
| sP152
| sP151
| sP150
| sP149
| sP147
| sP146
| sP145
| sP144
| sP143
| sP141
| sP140
| sP139
| sP138
| sP137
| sP135
| sP134
| sP133
| sP132
| sP131 ),
inference(renaming,[status(thm)],[c_719]) ).
cnf(c_3829,plain,
( ~ sP132
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_313,c_717]) ).
cnf(c_3830,plain,
( ~ sP137
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_298,c_717]) ).
cnf(c_3831,plain,
( ~ sP140
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_290,c_717]) ).
cnf(c_3832,plain,
( ~ sP141
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_287,c_717]) ).
cnf(c_3833,plain,
( ~ sP144
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_278,c_717]) ).
cnf(c_3834,plain,
( ~ sP152
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_253,c_717]) ).
cnf(c_3835,plain,
op(e3,e2) = e1,
inference(light_normalisation,[status(thm)],[c_247,c_717]) ).
cnf(c_3837,plain,
op(e0,e2) != e3,
inference(light_normalisation,[status(thm)],[c_213,c_717]) ).
cnf(c_3838,plain,
op(e0,e2) != e1,
inference(light_normalisation,[status(thm)],[c_212,c_3835]) ).
cnf(c_3839,plain,
op(e1,e2) != e3,
inference(light_normalisation,[status(thm)],[c_210,c_717]) ).
cnf(c_3840,plain,
op(e1,e2) != e1,
inference(light_normalisation,[status(thm)],[c_209,c_3835]) ).
cnf(c_3842,plain,
op(e4,e2) != e3,
inference(light_normalisation,[status(thm)],[c_206,c_717]) ).
cnf(c_3843,plain,
op(e4,e2) != e1,
inference(light_normalisation,[status(thm)],[c_205,c_3835]) ).
cnf(c_3844,plain,
op(e2,e0) != e3,
inference(light_normalisation,[status(thm)],[c_163,c_717]) ).
cnf(c_3845,plain,
op(e2,e1) != e3,
inference(light_normalisation,[status(thm)],[c_160,c_717]) ).
cnf(c_3847,plain,
op(e2,e4) != e3,
inference(light_normalisation,[status(thm)],[c_156,c_717]) ).
cnf(c_3849,plain,
op(e3,e1) != e1,
inference(light_normalisation,[status(thm)],[c_150,c_3835]) ).
cnf(c_3850,plain,
op(e3,e3) != e1,
inference(light_normalisation,[status(thm)],[c_147,c_3835]) ).
cnf(c_3851,plain,
op(e3,e4) != e1,
inference(light_normalisation,[status(thm)],[c_146,c_3835]) ).
cnf(c_3852,plain,
op(e3,e3) = e4,
inference(light_normalisation,[status(thm)],[c_245,c_717]) ).
cnf(c_3868,plain,
op(e1,e1) = e0,
inference(light_normalisation,[status(thm)],[c_248,c_717,c_3835]) ).
cnf(c_3869,plain,
( e0 != e0
| ~ sP6
| op(e1,e0) = e1 ),
inference(demodulation,[status(thm)],[c_660,c_3868]) ).
cnf(c_3870,plain,
( ~ sP6
| op(e1,e0) = e1 ),
inference(equality_resolution_simp,[status(thm)],[c_3869]) ).
cnf(c_3874,plain,
( op(e1,e3) != e1
| ~ sP33
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_611,c_3868]) ).
cnf(c_3875,plain,
( op(e1,e4) != e1
| ~ sP34
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_609,c_3868]) ).
cnf(c_3877,plain,
( e1 != e1
| ~ sP42
| op(e3,e1) = e2 ),
inference(demodulation,[status(thm)],[c_595,c_3835]) ).
cnf(c_3878,plain,
( ~ sP42
| op(e3,e1) = e2 ),
inference(equality_resolution_simp,[status(thm)],[c_3877]) ).
cnf(c_3881,plain,
( op(e2,e1) != e2
| ~ sP61
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_560,c_717]) ).
cnf(c_3882,plain,
( op(e2,e4) != e2
| ~ sP64
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_555,c_717]) ).
cnf(c_3885,plain,
( op(e3,e4) != e2
| ~ sP69
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_546,c_3835]) ).
cnf(c_3893,plain,
( e4 != e4
| ~ sP118
| op(e3,e4) = e3 ),
inference(demodulation,[status(thm)],[c_457,c_3852]) ).
cnf(c_3894,plain,
( ~ sP118
| op(e3,e4) = e3 ),
inference(equality_resolution_simp,[status(thm)],[c_3893]) ).
cnf(c_3895,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_122,c_3868]) ).
cnf(c_3898,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_119,c_3868]) ).
cnf(c_3899,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_118,c_3868]) ).
cnf(c_3900,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_117,c_3868]) ).
cnf(c_3902,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e0,e1) = e4
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_115,c_3868]) ).
cnf(c_3903,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_114,c_717]) ).
cnf(c_3904,plain,
( op(e4,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| e3 = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_113,c_717,c_3835]) ).
cnf(c_3910,plain,
( op(e3,e4) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| e4 = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_104,c_3835,c_3852]) ).
cnf(c_3911,plain,
( op(e4,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_103,c_3852]) ).
cnf(c_3914,plain,
( op(e4,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_99,c_3852]) ).
cnf(c_3915,plain,
( op(e3,e4) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3
| e4 = e3
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_98,c_3835,c_3852]) ).
cnf(c_3951,plain,
( op(e4,e2) != e2
| e2 != unit
| ~ sP127 ),
inference(resolution,[status(thm)],[c_373,c_540]) ).
cnf(c_3952,plain,
( e2 != unit
| ~ sP127 ),
inference(global_subsumption_just,[status(thm)],[c_3951,c_395,c_394,c_393,c_392,c_391,c_579,c_577,c_576,c_574,c_572,c_130]) ).
cnf(c_3967,plain,
( op(e4,e1) != e1
| e1 != unit
| ~ sP126 ),
inference(resolution,[status(thm)],[c_399,c_587]) ).
cnf(c_3968,plain,
( e1 != unit
| ~ sP126 ),
inference(global_subsumption_just,[status(thm)],[c_3967,c_403,c_594,c_3835]) ).
cnf(c_3982,plain,
( op(e4,e0) != e0
| e0 != unit
| ~ sP125 ),
inference(resolution,[status(thm)],[c_425,c_634]) ).
cnf(c_3983,plain,
( e0 != unit
| ~ sP125 ),
inference(global_subsumption_just,[status(thm)],[c_3982,c_439,c_659,c_3868]) ).
cnf(c_3997,plain,
( ~ sP129
| op(e3,e4) = e3 ),
inference(resolution,[status(thm)],[c_327,c_3894]) ).
cnf(c_4007,plain,
( ~ sP128
| op(e2,e3) = e2 ),
inference(resolution,[status(thm)],[c_358,c_707]) ).
cnf(c_4017,plain,
( ~ sP126
| op(e3,e1) = e2 ),
inference(resolution,[status(thm)],[c_403,c_3878]) ).
cnf(c_4027,plain,
( ~ sP125
| op(e1,e0) = e1 ),
inference(resolution,[status(thm)],[c_439,c_3870]) ).
cnf(c_4243,plain,
( op(e0,e0) != e4
| ~ sP129
| op(e0,e4) = e0 ),
inference(resolution,[status(thm)],[c_345,c_490]) ).
cnf(c_4257,plain,
( op(e4,e4) != e3
| ~ sP128
| op(e4,e3) = e4 ),
inference(resolution,[status(thm)],[c_346,c_492]) ).
cnf(c_4323,plain,
( op(e1,e4) != e3
| ~ sP128
| op(e1,e3) = e4 ),
inference(resolution,[status(thm)],[c_361,c_519]) ).
cnf(c_4351,plain,
( op(e0,e4) != e3
| ~ sP128
| op(e0,e3) = e4 ),
inference(resolution,[status(thm)],[c_366,c_528]) ).
cnf(c_4407,plain,
( op(e4,e3) != e2
| ~ sP127
| op(e4,e2) = e3 ),
inference(resolution,[status(thm)],[c_372,c_539]) ).
cnf(c_4408,plain,
( ~ sP127
| op(e4,e3) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4407,c_3842,c_4407]) ).
cnf(c_4409,plain,
( op(e4,e3) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4408]) ).
cnf(c_4419,plain,
( op(e4,e1) != e2
| ~ sP127
| op(e4,e2) = e1 ),
inference(resolution,[status(thm)],[c_374,c_542]) ).
cnf(c_4420,plain,
( ~ sP127
| op(e4,e1) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4419,c_3843,c_4419]) ).
cnf(c_4421,plain,
( op(e4,e1) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4420]) ).
cnf(c_4445,plain,
( op(e3,e4) != e2
| ~ sP127
| e4 = e1 ),
inference(resolution,[status(thm)],[c_376,c_3885]) ).
cnf(c_4446,plain,
( ~ sP127
| op(e3,e4) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4445,c_238,c_4445]) ).
cnf(c_4447,plain,
( op(e3,e4) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4446]) ).
cnf(c_4469,plain,
( op(e2,e4) != e2
| ~ sP127
| e4 = e3 ),
inference(resolution,[status(thm)],[c_381,c_3882]) ).
cnf(c_4470,plain,
( ~ sP127
| op(e2,e4) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4469,c_235,c_4469]) ).
cnf(c_4471,plain,
( op(e2,e4) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4470]) ).
cnf(c_4481,plain,
( op(e2,e1) != e2
| ~ sP127
| e3 = e1 ),
inference(resolution,[status(thm)],[c_384,c_3881]) ).
cnf(c_4482,plain,
( ~ sP127
| op(e2,e1) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4481,c_239,c_4481]) ).
cnf(c_4483,plain,
( op(e2,e1) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4482]) ).
cnf(c_4519,plain,
( op(e1,e3) != e2
| ~ sP127
| op(e1,e2) = e3 ),
inference(resolution,[status(thm)],[c_387,c_566]) ).
cnf(c_4520,plain,
( ~ sP127
| op(e1,e3) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4519,c_3839,c_4519]) ).
cnf(c_4521,plain,
( op(e1,e3) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4520]) ).
cnf(c_4545,plain,
( op(e0,e4) != e2
| ~ sP127
| op(e0,e2) = e4 ),
inference(resolution,[status(thm)],[c_391,c_573]) ).
cnf(c_4559,plain,
( op(e0,e3) != e2
| ~ sP127
| op(e0,e2) = e3 ),
inference(resolution,[status(thm)],[c_392,c_575]) ).
cnf(c_4560,plain,
( ~ sP127
| op(e0,e3) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4559,c_3837,c_4559]) ).
cnf(c_4561,plain,
( op(e0,e3) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4560]) ).
cnf(c_4571,plain,
( op(e0,e1) != e2
| ~ sP127
| op(e0,e2) = e1 ),
inference(resolution,[status(thm)],[c_394,c_578]) ).
cnf(c_4572,plain,
( ~ sP127
| op(e0,e1) != e2 ),
inference(global_subsumption_just,[status(thm)],[c_4571,c_3838,c_4571]) ).
cnf(c_4573,plain,
( op(e0,e1) != e2
| ~ sP127 ),
inference(renaming,[status(thm)],[c_4572]) ).
cnf(c_4611,plain,
( op(e4,e3) != e1
| ~ sP126
| op(e4,e1) = e3 ),
inference(resolution,[status(thm)],[c_397,c_584]) ).
cnf(c_4625,plain,
( op(e4,e0) != e1
| ~ sP126
| op(e4,e1) = e0 ),
inference(resolution,[status(thm)],[c_400,c_589]) ).
cnf(c_4639,plain,
( op(e2,e4) != e1
| ~ sP126
| op(e2,e1) = e4 ),
inference(resolution,[status(thm)],[c_406,c_600]) ).
cnf(c_4679,plain,
( op(e1,e4) != e1
| ~ sP126
| e4 = e0 ),
inference(resolution,[status(thm)],[c_411,c_3875]) ).
cnf(c_4680,plain,
( ~ sP126
| op(e1,e4) != e1 ),
inference(global_subsumption_just,[status(thm)],[c_4679,c_241,c_4679]) ).
cnf(c_4681,plain,
( op(e1,e4) != e1
| ~ sP126 ),
inference(renaming,[status(thm)],[c_4680]) ).
cnf(c_4691,plain,
( op(e1,e3) != e1
| ~ sP126
| e3 = e0 ),
inference(resolution,[status(thm)],[c_412,c_3874]) ).
cnf(c_4692,plain,
( ~ sP126
| op(e1,e3) != e1 ),
inference(global_subsumption_just,[status(thm)],[c_4691,c_242,c_4691]) ).
cnf(c_4693,plain,
( op(e1,e3) != e1
| ~ sP126 ),
inference(renaming,[status(thm)],[c_4692]) ).
cnf(c_4703,plain,
( op(e0,e4) != e1
| ~ sP126
| op(e0,e1) = e4 ),
inference(resolution,[status(thm)],[c_416,c_618]) ).
cnf(c_4745,plain,
( op(e4,e4) != e0
| ~ sP125
| op(e4,e0) = e4 ),
inference(resolution,[status(thm)],[c_421,c_627]) ).
cnf(c_4759,plain,
( op(e4,e3) != e0
| ~ sP125
| op(e4,e0) = e3 ),
inference(resolution,[status(thm)],[c_422,c_629]) ).
cnf(c_4773,plain,
( op(e4,e2) != e0
| ~ sP125
| op(e4,e0) = e2 ),
inference(resolution,[status(thm)],[c_423,c_631]) ).
cnf(c_4801,plain,
( op(e3,e4) != e0
| ~ sP125
| op(e3,e0) = e4 ),
inference(resolution,[status(thm)],[c_426,c_636]) ).
cnf(c_4827,plain,
( op(e2,e4) != e0
| ~ sP125
| op(e2,e0) = e4 ),
inference(resolution,[status(thm)],[c_431,c_645]) ).
cnf(c_4841,plain,
( op(e2,e3) != e0
| ~ sP125
| op(e2,e0) = e3 ),
inference(resolution,[status(thm)],[c_432,c_647]) ).
cnf(c_4842,plain,
( ~ sP125
| op(e2,e3) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_4841,c_3844,c_4841]) ).
cnf(c_4843,plain,
( op(e2,e3) != e0
| ~ sP125 ),
inference(renaming,[status(thm)],[c_4842]) ).
cnf(c_4965,plain,
( op(e3,e3) = e2
| sP153
| sP152
| sP151
| sP150
| sP149
| sP146
| sP145
| sP144
| sP143
| sP141
| sP140
| sP139
| sP138
| sP137
| sP135
| sP134
| sP133
| sP132
| sP131 ),
inference(resolution,[status(thm)],[c_720,c_269]) ).
cnf(c_4966,plain,
( sP133
| sP134
| sP135
| sP139
| sP145
| sP153
| op(e3,e3) = e2
| sP151
| sP150
| sP149
| sP131 ),
inference(global_subsumption_just,[status(thm)],[c_4965,c_242,c_239,c_235,c_295,c_280,c_272,c_269,c_710,c_3829,c_3830,c_3831,c_3832,c_3833,c_3834,c_3850]) ).
cnf(c_4967,plain,
( op(e3,e3) = e2
| sP153
| sP151
| sP150
| sP149
| sP145
| sP139
| sP135
| sP134
| sP133
| sP131 ),
inference(renaming,[status(thm)],[c_4966]) ).
cnf(c_7863,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_4967,c_4843,c_4827,c_4801,c_4773,c_4759,c_4745,c_4703,c_4693,c_4681,c_4639,c_4625,c_4611,c_4573,c_4561,c_4545,c_4521,c_4483,c_4471,c_4447,c_4421,c_4409,c_4351,c_4323,c_4257,c_4243,c_4027,c_4017,c_4007,c_3997,c_3983,c_3968,c_3952,c_3915,c_3914,c_3911,c_3910,c_3904,c_3903,c_3902,c_3900,c_3899,c_3898,c_3895,c_3868,c_3852,c_3851,c_3849,c_3847,c_3845,c_3843,c_3840,c_3839,c_674,c_317,c_310,c_308,c_307,c_306,c_304,c_293,c_275,c_262,c_261,c_260,c_259,c_258,c_256,c_251,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_229,c_228,c_227,c_226,c_225,c_220,c_219,c_218,c_202,c_199,c_195,c_192,c_191,c_188,c_187,c_185,c_184,c_183,c_181,c_177,c_174,c_170,c_169,c_164,c_152,c_149,c_148,c_145,c_141,c_138,c_136,c_135,c_130,c_125,c_94,c_92,c_91,c_89,c_87,c_84,c_83,c_82,c_81,c_74,c_73,c_69,c_68,c_57,c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:13:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 4.13/1.11 % SZS status Started for theBenchmark.p
% 4.13/1.11 % SZS status Theorem for theBenchmark.p
% 4.13/1.11
% 4.13/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.11
% 4.13/1.11 ------ iProver source info
% 4.13/1.11
% 4.13/1.11 git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.11 git: non_committed_changes: false
% 4.13/1.11
% 4.13/1.11 ------ Parsing...
% 4.13/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.11
% 4.13/1.11 ------ Preprocessing... sup_sim: 121 sf_s rm: 29 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe_e
% 4.13/1.11
% 4.13/1.11 ------ Preprocessing...
% 4.13/1.11
% 4.13/1.11 % SZS status Theorem for theBenchmark.p
% 4.13/1.11
% 4.13/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.11
% 4.13/1.12
%------------------------------------------------------------------------------