%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG162+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:39 PM UTC 2026
% Result : Unsatisfiable 2.46s 6.09s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 90
% Syntax : Number of formulae : 810 ( 116 unt; 66 def)
% Number of atoms : 3123 (2137 equ)
% Maximal formula atoms : 292 ( 3 avg)
% Number of connectives : 3547 (1234 ~;1558 |; 755 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 68 ( 66 usr; 67 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& op(e3,e3) = e3 )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 )
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 )
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 )
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f22,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f31,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f40,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f42,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f47,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f48,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f50,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f52,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f121,plain,
( ~ sP65
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f122,plain,
( ~ sP64
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f123,plain,
( ~ sP63
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f124,plain,
( ~ sP62
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f125,plain,
( ~ sP61
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f126,plain,
( ~ sP60
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f127,plain,
( ~ sP59
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f128,plain,
( ~ sP58
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f129,plain,
( ~ sP57
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f130,plain,
( ~ sP56
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f131,plain,
( ~ sP55
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f132,plain,
( ~ sP54
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f133,plain,
( ~ sP53
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f134,plain,
( ~ sP52
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f135,plain,
( ~ sP51
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f136,plain,
( ~ sP50
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f137,plain,
( ~ sP49
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f138,plain,
( ~ sP48
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f139,plain,
( ~ sP47
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f140,plain,
( ~ sP46
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f141,plain,
( ~ sP45
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f142,plain,
( ~ sP44
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f143,plain,
( ~ sP43
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f144,plain,
( ~ sP42
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f145,plain,
( ~ sP41
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f146,plain,
( ~ sP40
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f147,plain,
( ~ sP39
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f148,plain,
( ~ sP38
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f149,plain,
( ~ sP37
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f150,plain,
( ~ sP36
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f151,plain,
( ~ sP35
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f152,plain,
( ~ sP34
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f153,plain,
( ~ sP33
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f154,plain,
( ~ sP32
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f155,plain,
( ~ sP31
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f156,plain,
( ~ sP30
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f157,plain,
( ~ sP29
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f158,plain,
( ~ sP28
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f159,plain,
( ~ sP27
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f160,plain,
( ~ sP26
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f161,plain,
( ~ sP25
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f162,plain,
( ~ sP24
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f163,plain,
( ~ sP23
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f164,plain,
( ~ sP22
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f165,plain,
( ~ sP21
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f166,plain,
( ~ sP20
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f167,plain,
( ~ sP19
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f168,plain,
( ~ sP18
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f169,plain,
( ~ sP17
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f170,plain,
( ~ sP16
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f171,plain,
( ~ sP15
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f172,plain,
( ~ sP14
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f173,plain,
( ~ sP13
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f174,plain,
( ~ sP12
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f175,plain,
( ~ sP11
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f176,plain,
( ~ sP10
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f177,plain,
( ~ sP9
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f178,plain,
( ~ sP8
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f179,plain,
( ~ sP7
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f180,plain,
( ~ sP6
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f181,plain,
( ~ sP5
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f182,plain,
( ~ sP4
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f183,plain,
( ~ sP3
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f184,plain,
( ~ sP2
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f185,plain,
( ~ sP1
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f187,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f188,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f189,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f190,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f192,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f193,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f194,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f195,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f197,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f198,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f199,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f200,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f201,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f202,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f209,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f210,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f236,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f238,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f239,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f243,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f244,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f246,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f247,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f248,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f249,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f250,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f251,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f252,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f254,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f257,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f258,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f259,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f262,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f263,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f264,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f265,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f266,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f268,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f269,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f270,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f271,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f272,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f273,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f274,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f275,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f276,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f277,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f278,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f279,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f280,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f281,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f282,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f283,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f284,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f285,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f286,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f287,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f288,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f289,plain,
( ~ sP65
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f291,plain,
( ~ sP65
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f292,plain,
( ~ sP65
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f293,plain,
( ~ sP64
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f295,plain,
( ~ sP64
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f296,plain,
( ~ sP64
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f297,plain,
( ~ sP63
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f299,plain,
( ~ sP63
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f300,plain,
( ~ sP63
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f301,plain,
( ~ sP62
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f304,plain,
( ~ sP62
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f306,plain,
( ~ sP61
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f308,plain,
( ~ sP61
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
( ~ sP60
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f310,plain,
( ~ sP60
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f311,plain,
( ~ sP60
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f126]) ).
fof(f312,plain,
( ~ sP60
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f313,plain,
( ~ sP59
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f314,plain,
( ~ sP59
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f315,plain,
( ~ sP59
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
( ~ sP59
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f317,plain,
( ~ sP58
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f320,plain,
( ~ sP58
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f321,plain,
( ~ sP57
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f322,plain,
( ~ sP57
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f323,plain,
( ~ sP57
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f129]) ).
fof(f324,plain,
( ~ sP57
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f326,plain,
( ~ sP56
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f328,plain,
( ~ sP56
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f329,plain,
( ~ sP55
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f330,plain,
( ~ sP55
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f331,plain,
( ~ sP55
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f131]) ).
fof(f332,plain,
( ~ sP55
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f333,plain,
( ~ sP54
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f336,plain,
( ~ sP54
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f337,plain,
( ~ sP53
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f338,plain,
( ~ sP53
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f339,plain,
( ~ sP53
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f133]) ).
fof(f340,plain,
( ~ sP53
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f341,plain,
( ~ sP52
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f342,plain,
( ~ sP52
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f343,plain,
( ~ sP52
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f134]) ).
fof(f344,plain,
( ~ sP52
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f346,plain,
( ~ sP51
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f135]) ).
fof(f348,plain,
( ~ sP51
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f135]) ).
fof(f350,plain,
( ~ sP50
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f352,plain,
( ~ sP50
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f353,plain,
( ~ sP49
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f356,plain,
( ~ sP49
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f357,plain,
( ~ sP48
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f358,plain,
( ~ sP48
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f359,plain,
( ~ sP48
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f360,plain,
( ~ sP48
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f361,plain,
( ~ sP47
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f362,plain,
( ~ sP47
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f363,plain,
( ~ sP47
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f364,plain,
( ~ sP47
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f365,plain,
( ~ sP46
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f367,plain,
( ~ sP46
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f368,plain,
( ~ sP46
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f369,plain,
( ~ sP45
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f371,plain,
( ~ sP45
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f373,plain,
( ~ sP44
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f375,plain,
( ~ sP44
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f376,plain,
( ~ sP44
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f377,plain,
( ~ sP43
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f379,plain,
( ~ sP43
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f380,plain,
( ~ sP43
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f381,plain,
( ~ sP42
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f382,plain,
( ~ sP42
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f383,plain,
( ~ sP42
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f384,plain,
( ~ sP42
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f385,plain,
( ~ sP41
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f387,plain,
( ~ sP41
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f388,plain,
( ~ sP41
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f390,plain,
( ~ sP40
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f392,plain,
( ~ sP40
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f393,plain,
( ~ sP39
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f394,plain,
( ~ sP39
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f395,plain,
( ~ sP39
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f396,plain,
( ~ sP39
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f397,plain,
( ~ sP38
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f398,plain,
( ~ sP38
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f399,plain,
( ~ sP38
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f400,plain,
( ~ sP38
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f401,plain,
( ~ sP37
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f404,plain,
( ~ sP37
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f405,plain,
( ~ sP36
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f406,plain,
( ~ sP36
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f407,plain,
( ~ sP36
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f408,plain,
( ~ sP36
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f410,plain,
( ~ sP35
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f412,plain,
( ~ sP35
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f414,plain,
( ~ sP34
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f152]) ).
fof(f416,plain,
( ~ sP34
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f417,plain,
( ~ sP33
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f418,plain,
( ~ sP33
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f419,plain,
( ~ sP33
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f420,plain,
( ~ sP33
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f421,plain,
( ~ sP32
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f424,plain,
( ~ sP32
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f425,plain,
( ~ sP31
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f426,plain,
( ~ sP31
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f427,plain,
( ~ sP31
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f428,plain,
( ~ sP31
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f429,plain,
( ~ sP30
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f430,plain,
( ~ sP30
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f156]) ).
fof(f431,plain,
( ~ sP30
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f432,plain,
( ~ sP30
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f434,plain,
( ~ sP29
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f436,plain,
( ~ sP29
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f437,plain,
( ~ sP28
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f440,plain,
( ~ sP28
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f441,plain,
( ~ sP27
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f442,plain,
( ~ sP27
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f443,plain,
( ~ sP27
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f444,plain,
( ~ sP27
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f445,plain,
( ~ sP26
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f447,plain,
( ~ sP26
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f448,plain,
( ~ sP26
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f449,plain,
( ~ sP25
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f451,plain,
( ~ sP25
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f452,plain,
( ~ sP25
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f453,plain,
( ~ sP24
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f455,plain,
( ~ sP24
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f457,plain,
( ~ sP23
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f459,plain,
( ~ sP23
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f460,plain,
( ~ sP23
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f461,plain,
( ~ sP22
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f462,plain,
( ~ sP22
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f164]) ).
fof(f463,plain,
( ~ sP22
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f464,plain,
( ~ sP22
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f164]) ).
fof(f465,plain,
( ~ sP21
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f165]) ).
fof(f466,plain,
( ~ sP21
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f467,plain,
( ~ sP21
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f165]) ).
fof(f468,plain,
( ~ sP21
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f165]) ).
fof(f469,plain,
( ~ sP20
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f472,plain,
( ~ sP20
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f474,plain,
( ~ sP19
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f476,plain,
( ~ sP19
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f478,plain,
( ~ sP18
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f168]) ).
fof(f480,plain,
( ~ sP18
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f481,plain,
( ~ sP17
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f482,plain,
( ~ sP17
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f483,plain,
( ~ sP17
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f484,plain,
( ~ sP17
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f485,plain,
( ~ sP16
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f486,plain,
( ~ sP16
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f487,plain,
( ~ sP16
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f488,plain,
( ~ sP16
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f489,plain,
( ~ sP15
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f492,plain,
( ~ sP15
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f493,plain,
( ~ sP14
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f494,plain,
( ~ sP14
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f172]) ).
fof(f495,plain,
( ~ sP14
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f496,plain,
( ~ sP14
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f498,plain,
( ~ sP13
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f500,plain,
( ~ sP13
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f501,plain,
( ~ sP12
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f502,plain,
( ~ sP12
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f503,plain,
( ~ sP12
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f504,plain,
( ~ sP12
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f505,plain,
( ~ sP11
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f508,plain,
( ~ sP11
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f509,plain,
( ~ sP10
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f510,plain,
( ~ sP10
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f176]) ).
fof(f511,plain,
( ~ sP10
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f512,plain,
( ~ sP10
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f513,plain,
( ~ sP9
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f514,plain,
( ~ sP9
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f515,plain,
( ~ sP9
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f516,plain,
( ~ sP9
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f177]) ).
fof(f518,plain,
( ~ sP8
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f520,plain,
( ~ sP8
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f521,plain,
( ~ sP7
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f523,plain,
( ~ sP7
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f524,plain,
( ~ sP7
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f525,plain,
( ~ sP6
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f527,plain,
( ~ sP6
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f528,plain,
( ~ sP6
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f529,plain,
( ~ sP5
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f531,plain,
( ~ sP5
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f532,plain,
( ~ sP5
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f533,plain,
( ~ sP4
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f535,plain,
( ~ sP4
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f536,plain,
( ~ sP4
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f537,plain,
( ~ sP3
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f539,plain,
( ~ sP3
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f541,plain,
( ~ sP2
| e1 = op(e3,e3)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f542,plain,
( ~ sP2
| e1 = op(e2,e2)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f544,plain,
( ~ sP2
| op(e0,e0) = e1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f545,plain,
( ~ sP2
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f546,plain,
( ~ sP1
| e2 = op(e3,e3)
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f548,plain,
( ~ sP1
| e2 = op(e1,e1)
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f549,plain,
( ~ sP1
| op(e0,e0) = e2
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f550,plain,
( ~ sP1
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f556,plain,
( sP0
| sP1
| sP2
| e0 = op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f557,plain,
( sP0
| sP1
| sP2
| e0 = op(e2,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f558,plain,
( sP0
| sP1
| sP2
| e0 = op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f560,plain,
( sP0
| sP1
| sP2
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f561,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f563,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f566,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f567,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f568,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f569,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f570,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f571,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f572,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f573,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f575,plain,
( e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f576,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f577,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f578,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f579,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f581,plain,
( e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f582,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f583,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f584,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f585,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f587,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_49,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_50,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_51,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_52,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_53,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_54,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_55,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_56,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_57,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_58,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_59,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_61,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_62,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_63,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_64,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_67,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_69,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_70,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_71,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_73,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_74,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_77,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_79,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_81,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_82,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_83,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_84,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_87,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_89,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_90,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_91,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_93,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_94,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_97,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f282]) ).
tcf(c_98,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f281]) ).
tcf(c_99,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f280]) ).
tcf(c_100,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f279]) ).
tcf(c_101,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f278]) ).
tcf(c_102,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f277]) ).
tcf(c_103,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f276]) ).
tcf(c_104,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f275]) ).
tcf(c_105,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f274]) ).
tcf(c_106,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f273]) ).
tcf(c_107,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f272]) ).
tcf(c_108,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f271]) ).
tcf(c_109,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f270]) ).
tcf(c_110,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f269]) ).
tcf(c_111,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f268]) ).
tcf(c_112,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f267]) ).
tcf(c_113,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f266]) ).
tcf(c_114,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f265]) ).
tcf(c_115,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f264]) ).
tcf(c_116,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f263]) ).
tcf(c_117,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f262]) ).
tcf(c_119,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f260]) ).
tcf(c_120,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f259]) ).
tcf(c_121,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f258]) ).
tcf(c_122,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f257]) ).
tcf(c_123,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f256]) ).
tcf(c_125,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f254]) ).
tcf(c_127,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f252]) ).
tcf(c_128,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f251]) ).
tcf(c_129,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f250]) ).
tcf(c_130,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f249]) ).
tcf(c_131,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f248]) ).
tcf(c_132,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f247]) ).
tcf(c_133,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f246]) ).
tcf(c_134,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_135,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f244]) ).
tcf(c_136,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_138,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f241]) ).
tcf(c_139,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f240]) ).
tcf(c_140,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_141,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f238]) ).
tcf(c_142,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f237]) ).
tcf(c_143,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f236]) ).
tcf(c_144,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f235]) ).
tcf(c_145,plain,
e0 != e1,
inference(cnf_transformation,[],[f288]) ).
tcf(c_146,plain,
e0 != e2,
inference(cnf_transformation,[],[f287]) ).
tcf(c_147,plain,
e0 != e3,
inference(cnf_transformation,[],[f286]) ).
tcf(c_148,plain,
e1 != e2,
inference(cnf_transformation,[],[f285]) ).
tcf(c_149,plain,
e1 != e3,
inference(cnf_transformation,[],[f284]) ).
tcf(c_150,plain,
e2 != e3,
inference(cnf_transformation,[],[f283]) ).
tcf(c_151,plain,
( ( op(e0,e0) = e0 )
| ~ sP65 ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_152,plain,
( ~ sP65
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_154,plain,
( ( op(e1,e0) = e1 )
| ~ sP65 ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_155,plain,
( ( op(e0,e0) = e0 )
| ~ sP64 ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_156,plain,
( ~ sP64
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_158,plain,
( ( op(e2,e0) = e2 )
| ~ sP64 ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_159,plain,
( ( op(e0,e0) = e0 )
| ~ sP63 ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_160,plain,
( ~ sP63
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_162,plain,
( ( op(e3,e0) = e3 )
| ~ sP63 ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_163,plain,
( ( op(e0,e1) = e0 )
| ~ sP62 ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_166,plain,
( ( op(e0,e0) = e0 )
| ~ sP62 ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_167,plain,
( ( op(e0,e1) = e0 )
| ~ sP61 ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_169,plain,
( ( op(e1,e1) = e0 )
| ~ sP61 ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_171,plain,
( ( op(e0,e1) = e0 )
| ~ sP60 ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_172,plain,
( ~ sP60
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_173,plain,
( ( op(e2,e2) = e0 )
| ~ sP60 ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_174,plain,
( ( op(e2,e0) = e2 )
| ~ sP60 ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_175,plain,
( ( op(e0,e1) = e0 )
| ~ sP59 ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_176,plain,
( ~ sP59
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_177,plain,
( ( op(e3,e3) = e0 )
| ~ sP59 ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_178,plain,
( ( op(e3,e0) = e3 )
| ~ sP59 ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_179,plain,
( ( op(e0,e2) = e0 )
| ~ sP58 ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_182,plain,
( ( op(e0,e0) = e0 )
| ~ sP58 ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_183,plain,
( ( op(e0,e2) = e0 )
| ~ sP57 ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_184,plain,
( ~ sP57
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_185,plain,
( ( op(e1,e1) = e0 )
| ~ sP57 ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_186,plain,
( ( op(e1,e0) = e1 )
| ~ sP57 ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_187,plain,
( ( op(e0,e2) = e0 )
| ~ sP56 ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_189,plain,
( ( op(e2,e2) = e0 )
| ~ sP56 ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_191,plain,
( ( op(e0,e2) = e0 )
| ~ sP55 ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_192,plain,
( ~ sP55
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_193,plain,
( ( op(e3,e3) = e0 )
| ~ sP55 ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_194,plain,
( ( op(e3,e0) = e3 )
| ~ sP55 ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_195,plain,
( ( op(e0,e3) = e0 )
| ~ sP54 ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_198,plain,
( ( op(e0,e0) = e0 )
| ~ sP54 ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_199,plain,
( ( op(e0,e3) = e0 )
| ~ sP53 ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_200,plain,
( ~ sP53
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_201,plain,
( ( op(e1,e1) = e0 )
| ~ sP53 ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_202,plain,
( ( op(e1,e0) = e1 )
| ~ sP53 ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_203,plain,
( ( op(e0,e3) = e0 )
| ~ sP52 ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_204,plain,
( ~ sP52
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_205,plain,
( ( op(e2,e2) = e0 )
| ~ sP52 ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_206,plain,
( ( op(e2,e0) = e2 )
| ~ sP52 ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_207,plain,
( ( op(e0,e3) = e0 )
| ~ sP51 ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_209,plain,
( ( op(e3,e3) = e0 )
| ~ sP51 ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_211,plain,
( ( op(e1,e0) = e1 )
| ~ sP50 ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_213,plain,
( ( op(e0,e0) = e1 )
| ~ sP50 ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_215,plain,
( ( op(e1,e0) = e1 )
| ~ sP49 ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_218,plain,
( ( op(e1,e1) = e1 )
| ~ sP49 ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_219,plain,
( ( op(e1,e0) = e1 )
| ~ sP48 ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_220,plain,
( ~ sP48
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_221,plain,
( ( op(e2,e2) = e1 )
| ~ sP48 ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_222,plain,
( ( op(e2,e1) = e2 )
| ~ sP48 ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_223,plain,
( ( op(e1,e0) = e1 )
| ~ sP47 ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_224,plain,
( ~ sP47
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_225,plain,
( ( op(e3,e3) = e1 )
| ~ sP47 ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_226,plain,
( ( op(e3,e1) = e3 )
| ~ sP47 ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_227,plain,
( ( op(e1,e1) = e1 )
| ~ sP46 ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_228,plain,
( ~ sP46
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_230,plain,
( ( op(e0,e1) = e0 )
| ~ sP46 ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_232,plain,
( ~ sP45
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_234,plain,
( ( op(e1,e1) = e1 )
| ~ sP45 ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_235,plain,
( ( op(e1,e1) = e1 )
| ~ sP44 ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_236,plain,
( ~ sP44
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_238,plain,
( ( op(e2,e1) = e2 )
| ~ sP44 ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_239,plain,
( ( op(e1,e1) = e1 )
| ~ sP43 ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_240,plain,
( ~ sP43
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_242,plain,
( ( op(e3,e1) = e3 )
| ~ sP43 ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_243,plain,
( ( op(e1,e2) = e1 )
| ~ sP42 ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_244,plain,
( ~ sP42
| ( op(e1,e1) != e2 ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_245,plain,
( ( op(e0,e0) = e1 )
| ~ sP42 ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_246,plain,
( ( op(e0,e1) = e0 )
| ~ sP42 ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_247,plain,
( ( op(e1,e2) = e1 )
| ~ sP41 ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_248,plain,
( ~ sP41
| ( op(e1,e1) != e2 ) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_250,plain,
( ( op(e1,e1) = e1 )
| ~ sP41 ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_251,plain,
( ( op(e1,e2) = e1 )
| ~ sP40 ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_253,plain,
( ( op(e2,e2) = e1 )
| ~ sP40 ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_255,plain,
( ( op(e1,e2) = e1 )
| ~ sP39 ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_256,plain,
( ~ sP39
| ( op(e1,e1) != e2 ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_257,plain,
( ( op(e3,e3) = e1 )
| ~ sP39 ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_258,plain,
( ( op(e3,e1) = e3 )
| ~ sP39 ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_259,plain,
( ( op(e1,e3) = e1 )
| ~ sP38 ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_260,plain,
( ~ sP38
| ( op(e1,e1) != e3 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_261,plain,
( ( op(e0,e0) = e1 )
| ~ sP38 ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_262,plain,
( ( op(e0,e1) = e0 )
| ~ sP38 ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_263,plain,
( ( op(e1,e3) = e1 )
| ~ sP37 ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_266,plain,
( ( op(e1,e1) = e1 )
| ~ sP37 ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_267,plain,
( ( op(e1,e3) = e1 )
| ~ sP36 ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_268,plain,
( ~ sP36
| ( op(e1,e1) != e3 ) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_269,plain,
( ( op(e2,e2) = e1 )
| ~ sP36 ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_270,plain,
( ( op(e2,e1) = e2 )
| ~ sP36 ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_271,plain,
( ( op(e1,e3) = e1 )
| ~ sP35 ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_273,plain,
( ( op(e3,e3) = e1 )
| ~ sP35 ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_275,plain,
( ( op(e2,e0) = e2 )
| ~ sP34 ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_277,plain,
( ( op(e0,e0) = e2 )
| ~ sP34 ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_279,plain,
( ( op(e2,e0) = e2 )
| ~ sP33 ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_280,plain,
( ~ sP33
| ( op(e2,e2) != e0 ) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_281,plain,
( ( op(e1,e1) = e2 )
| ~ sP33 ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_282,plain,
( ( op(e1,e2) = e1 )
| ~ sP33 ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_283,plain,
( ( op(e2,e0) = e2 )
| ~ sP32 ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_286,plain,
( ( op(e2,e2) = e2 )
| ~ sP32 ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_287,plain,
( ( op(e2,e0) = e2 )
| ~ sP31 ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_288,plain,
( ~ sP31
| ( op(e2,e2) != e0 ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_289,plain,
( ( op(e3,e3) = e2 )
| ~ sP31 ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_290,plain,
( ( op(e3,e2) = e3 )
| ~ sP31 ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_291,plain,
( ( op(e2,e1) = e2 )
| ~ sP30 ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_292,plain,
( ~ sP30
| ( op(e2,e2) != e1 ) ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_293,plain,
( ( op(e0,e0) = e2 )
| ~ sP30 ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_294,plain,
( ( op(e0,e2) = e0 )
| ~ sP30 ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_295,plain,
( ( op(e2,e1) = e2 )
| ~ sP29 ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_297,plain,
( ( op(e1,e1) = e2 )
| ~ sP29 ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_299,plain,
( ( op(e2,e1) = e2 )
| ~ sP28 ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_302,plain,
( ( op(e2,e2) = e2 )
| ~ sP28 ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_303,plain,
( ( op(e2,e1) = e2 )
| ~ sP27 ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_304,plain,
( ~ sP27
| ( op(e2,e2) != e1 ) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_305,plain,
( ( op(e3,e3) = e2 )
| ~ sP27 ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_306,plain,
( ( op(e3,e2) = e3 )
| ~ sP27 ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_307,plain,
( ( op(e2,e2) = e2 )
| ~ sP26 ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_308,plain,
( ~ sP26
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_310,plain,
( ( op(e0,e2) = e0 )
| ~ sP26 ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_311,plain,
( ( op(e2,e2) = e2 )
| ~ sP25 ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_312,plain,
( ~ sP25
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_314,plain,
( ( op(e1,e2) = e1 )
| ~ sP25 ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_316,plain,
( ~ sP24
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_318,plain,
( ( op(e2,e2) = e2 )
| ~ sP24 ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_319,plain,
( ( op(e2,e2) = e2 )
| ~ sP23 ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_320,plain,
( ~ sP23
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_322,plain,
( ( op(e3,e2) = e3 )
| ~ sP23 ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_323,plain,
( ( op(e2,e3) = e2 )
| ~ sP22 ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_324,plain,
( ~ sP22
| ( op(e2,e2) != e3 ) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_325,plain,
( ( op(e0,e0) = e2 )
| ~ sP22 ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_326,plain,
( ( op(e0,e2) = e0 )
| ~ sP22 ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_327,plain,
( ( op(e2,e3) = e2 )
| ~ sP21 ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_328,plain,
( ~ sP21
| ( op(e2,e2) != e3 ) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_329,plain,
( ( op(e1,e1) = e2 )
| ~ sP21 ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_330,plain,
( ( op(e1,e2) = e1 )
| ~ sP21 ),
inference(cnf_transformation,[],[f465]) ).
tcf(c_331,plain,
( ( op(e2,e3) = e2 )
| ~ sP20 ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_334,plain,
( ( op(e2,e2) = e2 )
| ~ sP20 ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_335,plain,
( ( op(e2,e3) = e2 )
| ~ sP19 ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_337,plain,
( ( op(e3,e3) = e2 )
| ~ sP19 ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_339,plain,
( ( op(e3,e0) = e3 )
| ~ sP18 ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_341,plain,
( ( op(e0,e0) = e3 )
| ~ sP18 ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_343,plain,
( ( op(e3,e0) = e3 )
| ~ sP17 ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_344,plain,
( ~ sP17
| ( op(e3,e3) != e0 ) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_345,plain,
( ( op(e1,e1) = e3 )
| ~ sP17 ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_346,plain,
( ( op(e1,e3) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_347,plain,
( ( op(e3,e0) = e3 )
| ~ sP16 ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_348,plain,
( ~ sP16
| ( op(e3,e3) != e0 ) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_349,plain,
( ( op(e2,e2) = e3 )
| ~ sP16 ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_350,plain,
( ( op(e2,e3) = e2 )
| ~ sP16 ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_351,plain,
( ( op(e3,e0) = e3 )
| ~ sP15 ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_354,plain,
( ( op(e3,e3) = e3 )
| ~ sP15 ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_355,plain,
( ( op(e3,e1) = e3 )
| ~ sP14 ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_356,plain,
( ~ sP14
| ( op(e3,e3) != e1 ) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_357,plain,
( ( op(e0,e0) = e3 )
| ~ sP14 ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_358,plain,
( ( op(e0,e3) = e0 )
| ~ sP14 ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_359,plain,
( ( op(e3,e1) = e3 )
| ~ sP13 ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_361,plain,
( ( op(e1,e1) = e3 )
| ~ sP13 ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_363,plain,
( ( op(e3,e1) = e3 )
| ~ sP12 ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_364,plain,
( ~ sP12
| ( op(e3,e3) != e1 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_365,plain,
( ( op(e2,e2) = e3 )
| ~ sP12 ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_366,plain,
( ( op(e2,e3) = e2 )
| ~ sP12 ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_367,plain,
( ( op(e3,e1) = e3 )
| ~ sP11 ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_370,plain,
( ( op(e3,e3) = e3 )
| ~ sP11 ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_371,plain,
( ( op(e3,e2) = e3 )
| ~ sP10 ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_372,plain,
( ~ sP10
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_373,plain,
( ( op(e0,e0) = e3 )
| ~ sP10 ),
inference(cnf_transformation,[],[f510]) ).
tcf(c_374,plain,
( ( op(e0,e3) = e0 )
| ~ sP10 ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_375,plain,
( ( op(e3,e2) = e3 )
| ~ sP9 ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_376,plain,
( ~ sP9
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_377,plain,
( ( op(e1,e1) = e3 )
| ~ sP9 ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_378,plain,
( ( op(e1,e3) = e1 )
| ~ sP9 ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_379,plain,
( ( op(e3,e2) = e3 )
| ~ sP8 ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_381,plain,
( ( op(e2,e2) = e3 )
| ~ sP8 ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_383,plain,
( ( op(e3,e2) = e3 )
| ~ sP7 ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_384,plain,
( ~ sP7
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_386,plain,
( ( op(e3,e3) = e3 )
| ~ sP7 ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_387,plain,
( ( op(e3,e3) = e3 )
| ~ sP6 ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_388,plain,
( ~ sP6
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_390,plain,
( ( op(e0,e3) = e0 )
| ~ sP6 ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_391,plain,
( ( op(e3,e3) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_392,plain,
( ~ sP5
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_394,plain,
( ( op(e1,e3) = e1 )
| ~ sP5 ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_395,plain,
( ( op(e3,e3) = e3 )
| ~ sP4 ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_396,plain,
( ~ sP4
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_398,plain,
( ( op(e2,e3) = e2 )
| ~ sP4 ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_400,plain,
( ~ sP3
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_402,plain,
( ( op(e3,e3) = e3 )
| ~ sP3 ),
inference(cnf_transformation,[],[f537]) ).
tcf(c_403,plain,
( ( op(e1,e1) = e1 )
| ~ sP2 ),
inference(cnf_transformation,[],[f545]) ).
tcf(c_404,plain,
( ( op(e0,e0) = e1 )
| ~ sP2
| ( op(e0,e1) != e0 ) ),
inference(cnf_transformation,[],[f544]) ).
tcf(c_405,plain,
( ( op(e2,e2) = e1 )
| ~ sP2
| ( op(e2,e1) != e2 ) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_406,plain,
( ( op(e3,e3) = e1 )
| ~ sP2
| ( op(e3,e1) != e3 ) ),
inference(cnf_transformation,[],[f541]) ).
tcf(c_407,plain,
( ( op(e2,e2) = e2 )
| ~ sP1 ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_408,plain,
( ( op(e0,e0) = e2 )
| ~ sP1
| ( op(e0,e2) != e0 ) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_409,plain,
( ( op(e1,e1) = e2 )
| ~ sP1
| ( op(e1,e2) != e1 ) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_410,plain,
( ( op(e3,e3) = e2 )
| ~ sP1
| ( op(e3,e2) != e3 ) ),
inference(cnf_transformation,[],[f546]) ).
tcf(c_416,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_418,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_419,plain,
( sP0
| sP1
| sP2
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_420,plain,
( sP0
| sP1
| sP2
| ( op(e1,e1) = e0 )
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_421,plain,
( sP0
| sP1
| sP2
| ( op(e2,e2) = e0 )
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_422,plain,
( sP0
| sP1
| sP2
| ( op(e3,e3) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(cnf_transformation,[],[f556]) ).
tcf(c_424,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),e1) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_425,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),e2) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e0 ) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_426,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),e2) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e0 ) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_427,plain,
( ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e2 )
| ( op(op(e3,e3),op(e3,e3)) != e0 ) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_428,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e1 )
| ( op(op(e3,e3),op(e3,e3)) != e0 ) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_429,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e3 )
| ( op(op(e0,e0),op(e0,e0)) != e1 ) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_430,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e2 )
| ( op(op(e0,e0),op(e0,e0)) != e1 ) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_431,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e1 ) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_433,plain,
( ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e2 )
| ( op(op(e3,e3),op(e3,e3)) != e1 ) ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_434,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e0 )
| ( op(op(e3,e3),op(e3,e3)) != e1 ) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_435,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e3 )
| ( op(op(e0,e0),op(e0,e0)) != e2 ) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_436,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e2 ) ),
inference(cnf_transformation,[],[f578]) ).
tcf(c_437,plain,
( ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e3 )
| ( op(op(e1,e1),op(e1,e1)) != e2 ) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_439,plain,
( ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e1 )
| ( op(op(e3,e3),op(e3,e3)) != e2 ) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_440,plain,
( ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e0 )
| ( op(op(e3,e3),op(e3,e3)) != e2 ) ),
inference(cnf_transformation,[],[f582]) ).
tcf(c_441,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e2 )
| ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_442,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_443,plain,
( ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e3 ) ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_445,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e3 ) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_447,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_402,c_402,c_400]) ).
tcf(c_453,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_398,c_395,c_396]) ).
tcf(c_459,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_394,c_391,c_392]) ).
tcf(c_465,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_390,c_387,c_388]) ).
tcf(c_471,plain,
~ sP23,
inference(global_subsumption_just,[status(thm)],[c_322,c_319,c_320]) ).
tcf(c_477,plain,
~ sP24,
inference(global_subsumption_just,[status(thm)],[c_318,c_318,c_316]) ).
tcf(c_483,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_314,c_311,c_312]) ).
tcf(c_489,plain,
~ sP26,
inference(global_subsumption_just,[status(thm)],[c_310,c_307,c_308]) ).
tcf(c_495,plain,
~ sP43,
inference(global_subsumption_just,[status(thm)],[c_242,c_239,c_240]) ).
tcf(c_501,plain,
~ sP44,
inference(global_subsumption_just,[status(thm)],[c_238,c_235,c_236]) ).
tcf(c_507,plain,
~ sP45,
inference(global_subsumption_just,[status(thm)],[c_234,c_234,c_232]) ).
tcf(c_513,plain,
~ sP46,
inference(global_subsumption_just,[status(thm)],[c_230,c_227,c_228]) ).
tcf(c_519,plain,
~ sP63,
inference(global_subsumption_just,[status(thm)],[c_162,c_159,c_160]) ).
tcf(c_525,plain,
~ sP64,
inference(global_subsumption_just,[status(thm)],[c_158,c_155,c_156]) ).
tcf(c_531,plain,
~ sP65,
inference(global_subsumption_just,[status(thm)],[c_154,c_151,c_152]) ).
tcf(c_567,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62 ),
inference(global_subsumption_just,[status(thm)],[c_418,c_418,c_416,c_447,c_453,c_459,c_465,c_471,c_477,c_483,c_489,c_495,c_501,c_507,c_513,c_519,c_525,c_531]) ).
tcf(c_573,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62 ),
inference(global_subsumption_just,[status(thm)],[c_416,c_567]) ).
fof(f54,definition,
( ~ sP0
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP1
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP2
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP3
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ~ sP4
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ~ sP5
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ~ sP6
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ~ sP7
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ~ sP8
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ~ sP9
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ~ sP10
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e2
& op(e3,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ~ sP11
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ~ sP12
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ~ sP13
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ~ sP14
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e1
& op(e3,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ~ sP15
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ~ sP16
| ( op(e2,e3) = e2
& op(e2,e2) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ~ sP17
| ( op(e1,e3) = e1
& op(e1,e1) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ~ sP18
| ( op(e0,e3) = e0
& op(e0,e0) = e3
& op(e3,e3) != e0
& op(e3,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ~ sP19
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ~ sP20
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ~ sP21
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ~ sP22
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e3
& op(e2,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ~ sP23
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ~ sP24
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ~ sP25
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ~ sP26
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ~ sP27
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f82,definition,
( ~ sP28
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ~ sP29
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ~ sP30
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e1
& op(e2,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ~ sP31
| ( op(e3,e2) = e3
& op(e3,e3) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ~ sP32
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ~ sP33
| ( op(e1,e2) = e1
& op(e1,e1) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ~ sP34
| ( op(e0,e2) = e0
& op(e0,e0) = e2
& op(e2,e2) != e0
& op(e2,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ~ sP35
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ~ sP36
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ~ sP37
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ~ sP38
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e3
& op(e1,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ~ sP39
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ~ sP40
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ~ sP41
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ~ sP42
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e2
& op(e1,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ~ sP43
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ~ sP44
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ~ sP45
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ~ sP46
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ~ sP47
| ( op(e3,e1) = e3
& op(e3,e3) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ~ sP48
| ( op(e2,e1) = e2
& op(e2,e2) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ~ sP49
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ~ sP50
| ( op(e0,e1) = e0
& op(e0,e0) = e1
& op(e1,e1) != e0
& op(e1,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f105,definition,
( ~ sP51
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f106,definition,
( ~ sP52
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f107,definition,
( ~ sP53
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f108,definition,
( ~ sP54
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e3
& op(e0,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f109,definition,
( ~ sP55
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f110,definition,
( ~ sP56
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f111,definition,
( ~ sP57
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ~ sP58
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e2
& op(e0,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ~ sP59
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f114,definition,
( ~ sP60
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f115,definition,
( ~ sP61
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f116,definition,
( ~ sP62
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e1
& op(e0,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ~ sP63
| ( op(e3,e0) = e3
& op(e3,e3) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ~ sP64
| ( op(e2,e0) = e2
& op(e2,e2) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ~ sP65
| ( op(e1,e0) = e1
& op(e1,e1) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f120,plain,
( ( sP0
| sP1
| sP2
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& op(e0,e0) = e0 ) )
& ( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| sP60
| sP61
| sP62
| sP63
| sP64
| sP65
| ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(definition_folding,[],[f5,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]) ).
fof(f186,plain,
( ~ sP0
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f552,plain,
( ~ sP0
| e3 = op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f553,plain,
( ~ sP0
| e3 = op(e1,e1)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f554,plain,
( ~ sP0
| op(e0,e0) = e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f555,plain,
( ~ sP0
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_411,plain,
( ( op(e3,e3) = e3 )
| ~ sP0 ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_412,plain,
( ( op(e0,e0) = e3 )
| ~ sP0
| ( op(e0,e3) != e0 ) ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_413,plain,
( ( op(e1,e1) = e3 )
| ~ sP0
| ( op(e1,e3) != e1 ) ),
inference(cnf_transformation,[],[f553]) ).
tcf(c_414,plain,
( ( op(e2,e2) = e3 )
| ~ sP0
| ( op(e2,e3) != e2 ) ),
inference(cnf_transformation,[],[f552]) ).
tcf(c_3818,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_573,c_445,c_443,c_442,c_441,c_440,c_439,c_437,c_436,c_435,c_434,c_433,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_422,c_421,c_420,c_419,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_386,c_384,c_383,c_381,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_367,c_366,c_365,c_364,c_363,c_361,c_359,c_358,c_357,c_356,c_355,c_354,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_341,c_339,c_337,c_335,c_334,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_306,c_305,c_304,c_303,c_302,c_299,c_297,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_283,c_282,c_281,c_280,c_279,c_277,c_275,c_273,c_271,c_270,c_269,c_268,c_267,c_266,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_253,c_251,c_250,c_248,c_247,c_246,c_245,c_244,c_243,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_215,c_213,c_211,c_209,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_195,c_194,c_193,c_192,c_191,c_189,c_187,c_186,c_185,c_184,c_183,c_182,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_169,c_167,c_166,c_163,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_125,c_123,c_122,c_121,c_120,c_119,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_94,c_93,c_91,c_90,c_89,c_87,c_84,c_83,c_82,c_81,c_79,c_77,c_74,c_73,c_71,c_70,c_69,c_67,c_64,c_63,c_62,c_61,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG162+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n015.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Fri Sep 25 05:00:18 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.46 % Proving...
% 2.46/6.09 % SZS status Started for theBenchmark.p
% 2.46/6.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/6.09
% 2.46/6.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.46/6.09
% 2.46/6.09 % ------ iProver source info
% 2.46/6.09
% 2.46/6.09 % git: date: 2026-07-19 20:42:38 +0200
% 2.46/6.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.46/6.09 % git: non_committed_changes: false
% 2.46/6.09
% 2.46/6.09 % ------ Parsing...
% 2.46/6.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.46/6.09
% 2.46/6.09 % ------ Preprocessing... sup_sim: 0 sf_s rm: 15 0s sf_e pe_s pe_e %
% 2.46/6.09
% 2.46/6.09 % ------ Preprocessing...%
% 2.46/6.09
% 2.46/6.09 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/6.09
% 2.46/6.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/6.11
% 2.46/6.11
%------------------------------------------------------------------------------