%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG061+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 : n006.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 12:53:19 PM UTC 2026
% Result : Theorem 3.98s 1.51s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 572 ( 241 unt; 10 def)
% Number of atoms : 2327 (2111 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 2378 ( 623 ~;1425 |; 330 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| 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(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(flattening,[],[f8]) ).
fof(f21,plain,
( ~ sP9
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f22,plain,
( ~ sP8
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f23,plain,
( ~ sP7
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f24,plain,
( ~ sP6
| ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f25,plain,
( ~ sP5
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f26,plain,
( ~ sP4
| ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
( ~ sP3
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f28,plain,
( ~ sP2
| ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f29,plain,
( ~ sP1
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f31,plain,
( ~ sP9
| e3 = op(e0,op(e3,e0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
( ~ sP9
| e0 != op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f33,plain,
( ~ sP8
| e4 = op(e0,op(e4,e0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
( ~ sP8
| e0 != op(e4,op(e4,e0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
( ~ sP7
| e3 = op(e1,op(e3,e1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
( ~ sP7
| e1 != op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
( ~ sP6
| e4 = op(e1,op(e4,e1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f38,plain,
( ~ sP6
| e1 != op(e4,op(e4,e1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f39,plain,
( ~ sP5
| e3 = op(e2,op(e3,e2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
( ~ sP5
| e2 != op(e3,op(e3,e2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
( ~ sP4
| e2 != op(e4,op(e4,e2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
( ~ sP3
| e3 = op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
( ~ sP3
| e3 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
( ~ sP2
| e4 = op(e3,op(e4,e3)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
( ~ sP2
| e3 != op(e4,op(e4,e3)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
( ~ sP1
| e3 = op(e4,op(e3,e4)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
( sP0
| sP1
| e4 != op(e2,op(e2,e4))
| e4 != op(e1,op(e1,e4))
| e0 = op(e4,op(e0,e4)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
( sP0
| sP1
| e2 = op(e4,op(e2,e4))
| e1 = op(e4,op(e1,e4))
| e4 != op(e0,op(e0,e4)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f59,plain,
( sP2
| sP3
| e2 = op(e3,op(e2,e3))
| e1 = op(e3,op(e1,e3))
| e0 = op(e3,op(e0,e3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f61,plain,
( sP2
| sP3
| e2 = op(e3,op(e2,e3))
| e3 != op(e1,op(e1,e3))
| e0 = op(e3,op(e0,e3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f63,plain,
( sP2
| sP3
| e2 = op(e3,op(e2,e3))
| e1 = op(e3,op(e1,e3))
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f66,plain,
( sP2
| sP3
| e3 != op(e2,op(e2,e3))
| e3 != op(e1,op(e1,e3))
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f67,plain,
( sP4
| sP5
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f68,plain,
( sP4
| sP5
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f69,plain,
( sP4
| sP5
| e2 = op(e2,op(e2,e2))
| e2 != op(e1,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f70,plain,
( sP4
| sP5
| e2 != op(e2,op(e2,e2))
| e2 != op(e1,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f71,plain,
( sP4
| sP5
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f72,plain,
( sP4
| sP5
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
( sP6
| sP7
| e2 = op(e1,op(e2,e1))
| e1 = op(e1,op(e1,e1))
| e0 = op(e1,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f76,plain,
( sP6
| sP7
| e1 != op(e2,op(e2,e1))
| e1 = op(e1,op(e1,e1))
| e0 = op(e1,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f77,plain,
( sP6
| sP7
| e2 = op(e1,op(e2,e1))
| e1 != op(e1,op(e1,e1))
| e0 = op(e1,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f78,plain,
( sP6
| sP7
| e1 != op(e2,op(e2,e1))
| e1 != op(e1,op(e1,e1))
| e0 = op(e1,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f79,plain,
( sP6
| sP7
| e2 = op(e1,op(e2,e1))
| e1 = op(e1,op(e1,e1))
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f81,plain,
( sP6
| sP7
| e2 = op(e1,op(e2,e1))
| e1 != op(e1,op(e1,e1))
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f83,plain,
( sP8
| sP9
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f85,plain,
( sP8
| sP9
| e2 = op(e0,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f87,plain,
( sP8
| sP9
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f89,plain,
( sP8
| sP9
| e2 = op(e0,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f94,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f95,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f96,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f97,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f98,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f99,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f100,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f101,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f106,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f109,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f112,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f114,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f125,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f126,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f132,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f135,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f211,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f213,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f218,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f220,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f224,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f230,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f234,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f235,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f236,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f242,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f243,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f244,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f246,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f247,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f248,plain,
( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f250,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f252,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f253,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f254,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f258,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f259,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f261,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f262,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f263,plain,
( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f264,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f265,plain,
( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f267,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f268,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f269,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f270,plain,
( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f271,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f273,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f274,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f275,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f276,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f279,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f280,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f281,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f283,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_49,plain,
( ~ sP9
| ( op(e3,op(e3,e0)) != e0 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_50,plain,
( ( op(e0,op(e3,e0)) = e3 )
| ~ sP9 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_51,plain,
( ~ sP8
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_52,plain,
( ( op(e0,op(e4,e0)) = e4 )
| ~ sP8 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_53,plain,
( ~ sP7
| ( op(e3,op(e3,e1)) != e1 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_54,plain,
( ( op(e1,op(e3,e1)) = e3 )
| ~ sP7 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_55,plain,
( ~ sP6
| ( op(e4,op(e4,e1)) != e1 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_56,plain,
( ( op(e1,op(e4,e1)) = e4 )
| ~ sP6 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_57,plain,
( ~ sP5
| ( op(e3,op(e3,e2)) != e2 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_58,plain,
( ( op(e2,op(e3,e2)) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_59,plain,
( ~ sP4
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_61,plain,
( ~ sP3
| ( op(e3,op(e3,e3)) != e3 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_62,plain,
( ( op(e3,op(e3,e3)) = e3 )
| ~ sP3 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_63,plain,
( ~ sP2
| ( op(e4,op(e4,e3)) != e3 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_64,plain,
( ( op(e3,op(e4,e3)) = e4 )
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_66,plain,
( ( op(e4,op(e3,e4)) = e3 )
| ~ sP1 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_69,negated_conjecture,
( ( op(e2,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e4,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_70,negated_conjecture,
( ( op(e2,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e4,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_75,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_77,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_79,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_81,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) = e0 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_83,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e1,e1)) != e1 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_85,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_86,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) != e1 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_87,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_88,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_89,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e1,e1)) = e1 )
| ( op(e1,op(e0,e1)) = e0 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_92,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_93,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_94,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_95,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_96,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e2,e2)) != e2 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_97,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_98,negated_conjecture,
( sP2
| sP3
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_101,negated_conjecture,
( sP2
| sP3
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_103,negated_conjecture,
( sP2
| sP3
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_105,negated_conjecture,
( sP2
| sP3
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e3,op(e0,e3)) = e0 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_109,negated_conjecture,
( sP0
| sP1
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_110,negated_conjecture,
( sP0
| sP1
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_114,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
inference(cnf_transformation,[],[f99]) ).
tcf(c_115,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(cnf_transformation,[],[f98]) ).
tcf(c_116,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
inference(cnf_transformation,[],[f97]) ).
tcf(c_117,plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],[f96]) ).
tcf(c_118,plain,
e0 != e1,
inference(cnf_transformation,[],[f109]) ).
tcf(c_119,plain,
e0 != e2,
inference(cnf_transformation,[],[f108]) ).
tcf(c_120,plain,
e0 != e3,
inference(cnf_transformation,[],[f107]) ).
tcf(c_121,plain,
e0 != e4,
inference(cnf_transformation,[],[f106]) ).
tcf(c_122,plain,
e1 != e2,
inference(cnf_transformation,[],[f105]) ).
tcf(c_123,plain,
e3 != e1,
inference(cnf_transformation,[],[f104]) ).
tcf(c_124,plain,
e4 != e1,
inference(cnf_transformation,[],[f103]) ).
tcf(c_125,plain,
e3 != e2,
inference(cnf_transformation,[],[f102]) ).
tcf(c_126,plain,
e4 != e2,
inference(cnf_transformation,[],[f101]) ).
tcf(c_127,plain,
e3 != e4,
inference(cnf_transformation,[],[f100]) ).
tcf(c_128,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f209]) ).
tcf(c_129,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f208]) ).
tcf(c_130,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f207]) ).
tcf(c_131,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f206]) ).
tcf(c_132,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f205]) ).
tcf(c_134,plain,
op(e4,e0) != op(e1,e0),
inference(cnf_transformation,[],[f203]) ).
tcf(c_135,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f202]) ).
tcf(c_136,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f201]) ).
tcf(c_137,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f200]) ).
tcf(c_138,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f199]) ).
tcf(c_139,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f198]) ).
tcf(c_140,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f197]) ).
tcf(c_141,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f196]) ).
tcf(c_142,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f195]) ).
tcf(c_143,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f194]) ).
tcf(c_144,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f193]) ).
tcf(c_146,plain,
op(e4,e1) != op(e2,e1),
inference(cnf_transformation,[],[f191]) ).
tcf(c_147,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f190]) ).
tcf(c_148,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f189]) ).
tcf(c_149,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f188]) ).
tcf(c_150,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f187]) ).
tcf(c_153,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f184]) ).
tcf(c_154,plain,
op(e4,e2) != op(e1,e2),
inference(cnf_transformation,[],[f183]) ).
tcf(c_155,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f182]) ).
tcf(c_156,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f181]) ).
tcf(c_157,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f180]) ).
tcf(c_158,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f179]) ).
tcf(c_159,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f178]) ).
tcf(c_160,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f177]) ).
tcf(c_161,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f176]) ).
tcf(c_162,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f175]) ).
tcf(c_163,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f174]) ).
tcf(c_164,plain,
op(e4,e3) != op(e1,e3),
inference(cnf_transformation,[],[f173]) ).
tcf(c_165,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f172]) ).
tcf(c_166,plain,
op(e4,e3) != op(e2,e3),
inference(cnf_transformation,[],[f171]) ).
tcf(c_167,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f170]) ).
tcf(c_168,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f169]) ).
tcf(c_170,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f167]) ).
tcf(c_171,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f166]) ).
tcf(c_172,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f165]) ).
tcf(c_173,plain,
op(e3,e4) != op(e1,e4),
inference(cnf_transformation,[],[f164]) ).
tcf(c_174,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f163]) ).
tcf(c_175,plain,
op(e3,e4) != op(e2,e4),
inference(cnf_transformation,[],[f162]) ).
tcf(c_176,plain,
op(e4,e4) != op(e2,e4),
inference(cnf_transformation,[],[f161]) ).
tcf(c_177,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f160]) ).
tcf(c_178,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f159]) ).
tcf(c_179,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f158]) ).
tcf(c_180,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f157]) ).
tcf(c_181,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f156]) ).
tcf(c_182,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f155]) ).
tcf(c_183,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f154]) ).
tcf(c_184,plain,
op(e0,e4) != op(e0,e1),
inference(cnf_transformation,[],[f153]) ).
tcf(c_187,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f150]) ).
tcf(c_188,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f149]) ).
tcf(c_189,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f148]) ).
tcf(c_190,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f147]) ).
tcf(c_193,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f144]) ).
tcf(c_194,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f143]) ).
tcf(c_195,plain,
op(e1,e3) != op(e1,e2),
inference(cnf_transformation,[],[f142]) ).
tcf(c_196,plain,
op(e1,e4) != op(e1,e2),
inference(cnf_transformation,[],[f141]) ).
tcf(c_198,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f139]) ).
tcf(c_199,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f138]) ).
tcf(c_200,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f137]) ).
tcf(c_201,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f136]) ).
tcf(c_202,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f135]) ).
tcf(c_203,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f134]) ).
tcf(c_204,plain,
op(e2,e4) != op(e2,e1),
inference(cnf_transformation,[],[f133]) ).
tcf(c_205,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f132]) ).
tcf(c_206,plain,
op(e2,e4) != op(e2,e2),
inference(cnf_transformation,[],[f131]) ).
tcf(c_207,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f130]) ).
tcf(c_208,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f129]) ).
tcf(c_209,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f128]) ).
tcf(c_210,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f127]) ).
tcf(c_211,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f126]) ).
tcf(c_212,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f125]) ).
tcf(c_213,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f124]) ).
tcf(c_214,plain,
op(e3,e4) != op(e3,e1),
inference(cnf_transformation,[],[f123]) ).
tcf(c_215,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f122]) ).
tcf(c_217,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f120]) ).
tcf(c_218,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f119]) ).
tcf(c_219,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f118]) ).
tcf(c_220,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f117]) ).
tcf(c_221,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f116]) ).
tcf(c_222,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f115]) ).
tcf(c_223,plain,
op(e4,e3) != op(e4,e1),
inference(cnf_transformation,[],[f114]) ).
tcf(c_224,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f113]) ).
tcf(c_225,plain,
op(e4,e3) != op(e4,e2),
inference(cnf_transformation,[],[f112]) ).
tcf(c_226,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f111]) ).
tcf(c_227,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f110]) ).
tcf(c_228,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e4) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_229,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e4,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_231,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_233,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_234,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_235,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_237,plain,
( ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_239,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_240,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_241,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_242,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_243,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_244,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_245,plain,
( ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_246,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_250,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_251,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_252,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_253,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_257,plain,
( ( op(e2,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_258,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_259,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_263,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_264,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_265,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_267,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_268,plain,
( ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_269,plain,
( ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e4,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_274,plain,
( ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_276,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e4) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_277,plain,
( ( op(e2,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e4,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_279,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_281,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_282,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_283,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_286,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_287,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_288,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_289,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_291,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_292,plain,
( ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e0 ) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_293,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_294,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_295,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_297,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e0 ) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_298,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_299,plain,
( ( op(e4,e1) = e2 )
| ( op(e4,e1) = e1 )
| ( op(e4,e1) = e4 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e0 ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_300,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e4 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e0 ) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_301,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e0 ) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_305,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_62,c_62,c_61]) ).
tcf(c_313,plain,
( sP2
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e3,op(e2,e3)) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_105,c_105,c_305]) ).
tcf(c_314,negated_conjecture,
( sP2
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e3,op(e0,e3)) = e0 ) ),
inference(renaming,[status(thm)],[c_313]) ).
tcf(c_315,plain,
( sP4
| sP5
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_97,c_96]) ).
tcf(c_316,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(renaming,[status(thm)],[c_315]) ).
tcf(c_317,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e0,e1)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_89,c_89,c_87]) ).
tcf(c_319,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_81,c_81,c_77]) ).
tcf(c_329,plain,
( sP2
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e3,op(e2,e3)) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_62,c_61,c_103]) ).
tcf(c_330,negated_conjecture,
( sP2
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_329]) ).
tcf(c_331,plain,
( sP2
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e3,op(e2,e3)) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_62,c_61,c_101]) ).
tcf(c_332,negated_conjecture,
( sP2
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_331]) ).
tcf(c_333,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_96,c_316]) ).
tcf(c_335,plain,
( sP4
| sP5
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_95,c_94]) ).
tcf(c_336,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(renaming,[status(thm)],[c_335]) ).
tcf(c_337,plain,
( sP4
| sP5
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_93,c_92]) ).
tcf(c_338,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(renaming,[status(thm)],[c_337]) ).
tcf(c_339,plain,
( sP6
| sP7
| ( op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_88,c_88,c_86]) ).
tcf(c_340,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1 ) ),
inference(renaming,[status(thm)],[c_339]) ).
tcf(c_341,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e1,op(e0,e1)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_317]) ).
tcf(c_343,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_85,c_83]) ).
tcf(c_347,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_79,c_75]) ).
tcf(c_349,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_77,c_319]) ).
tcf(c_363,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_336]) ).
tcf(c_365,negated_conjecture,
( sP4
| sP5
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_338]) ).
tcf(c_369,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_340]) ).
tcf(c_373,negated_conjecture,
( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2 )
| ( op(e0,op(e0,e1)) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_343]) ).
tcf(c_379,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_347]) ).
tcf(c_383,plain,
( sP2
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e2,op(e2,e3)) != e3 ) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_62,c_61,c_98]) ).
tcf(c_384,negated_conjecture,
( sP2
| ( op(e2,op(e2,e3)) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_383]) ).
tcf(c_397,plain,
op(e1,e1) = e4,
inference(global_subsumption_just,[status(thm)],[c_246,c_117]) ).
tcf(c_1679,plain,
op(e1,e4) != e4,
inference(light_normalisation,[status(thm)],[c_194,c_397]) ).
tcf(c_1680,plain,
op(e1,e3) != e4,
inference(light_normalisation,[status(thm)],[c_193,c_397]) ).
tcf(c_1682,plain,
op(e1,e0) != e4,
inference(light_normalisation,[status(thm)],[c_188,c_397]) ).
tcf(c_1683,plain,
op(e4,e1) != e4,
inference(light_normalisation,[status(thm)],[c_144,c_397]) ).
tcf(c_1684,plain,
op(e3,e1) != e4,
inference(light_normalisation,[status(thm)],[c_143,c_397]) ).
tcf(c_1685,plain,
op(e2,e1) != e4,
inference(light_normalisation,[status(thm)],[c_142,c_397]) ).
tcf(c_1686,plain,
op(e0,e1) != e4,
inference(light_normalisation,[status(thm)],[c_138,c_397]) ).
tcf(c_1687,plain,
op(e4,e4) = e2,
inference(light_normalisation,[status(thm)],[c_115,c_397]) ).
tcf(c_1688,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm)],[c_171,c_1687]) ).
tcf(c_1689,plain,
op(e1,e4) != e2,
inference(demodulation,[status(thm)],[c_174,c_1687]) ).
tcf(c_1690,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm)],[c_176,c_1687]) ).
tcf(c_1691,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm)],[c_177,c_1687]) ).
tcf(c_1692,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm)],[c_221,c_1687]) ).
tcf(c_1693,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm)],[c_224,c_1687]) ).
tcf(c_1694,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm)],[c_226,c_1687]) ).
tcf(c_1695,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm)],[c_227,c_1687]) ).
tcf(c_1758,plain,
op(e1,e2) = e0,
inference(light_normalisation,[status(thm)],[c_114,c_397,c_1687]) ).
tcf(c_1759,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm)],[c_148,c_1758]) ).
tcf(c_1761,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm)],[c_153,c_1758]) ).
tcf(c_1762,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm)],[c_154,c_1758]) ).
tcf(c_1763,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm)],[c_189,c_1758]) ).
tcf(c_1765,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm)],[c_195,c_1758]) ).
tcf(c_1766,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm)],[c_196,c_1758]) ).
tcf(c_1783,plain,
( sP4
| sP5
| ( op(e2,e0) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_333,c_1758]) ).
tcf(c_1796,plain,
op(e2,e2) = e3,
inference(light_normalisation,[status(thm)],[c_116,c_397,c_1687]) ).
tcf(c_1798,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm)],[c_149,c_1796]) ).
tcf(c_1799,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm)],[c_155,c_1796]) ).
tcf(c_1800,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm)],[c_156,c_1796]) ).
tcf(c_1801,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm)],[c_199,c_1796]) ).
tcf(c_1802,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm)],[c_202,c_1796]) ).
tcf(c_1803,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm)],[c_205,c_1796]) ).
tcf(c_1804,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm)],[c_206,c_1796]) ).
tcf(c_1837,plain,
( sP4
| sP5
| ( op(e2,e0) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(light_normalisation,[status(thm)],[c_365,c_1758]) ).
tcf(c_1850,plain,
( sP4
| sP5
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,e0) != e2 ) ),
inference(light_normalisation,[status(thm)],[c_363,c_1758]) ).
tcf(c_2020,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301,c_1695]) ).
tcf(c_2033,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e2) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300,c_1694,c_1800,c_1762]) ).
tcf(c_2040,plain,
( ( op(e4,e1) = e1 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299,c_1693,c_1683]) ).
tcf(c_2050,plain,
( ( op(e4,e0) = e1 )
| ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298,c_1692]) ).
tcf(c_2063,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297,c_1691]) ).
tcf(c_2086,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295,c_1799,c_1761]) ).
tcf(c_2096,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_294,c_1684]) ).
tcf(c_2119,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e4) = e4 )
| ( op(e2,e4) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_292,c_1690,c_1804]) ).
tcf(c_2129,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e4 )
| ( op(e2,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291,c_1803]) ).
tcf(c_2142,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289,c_1685,c_1802]) ).
tcf(c_2152,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e4 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288,c_1801]) ).
tcf(c_2165,plain,
( ( op(e1,e4) = e1 )
| ( op(e1,e4) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287,c_1689,c_1679,c_1766]) ).
tcf(c_2172,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286,c_1680,c_1765]) ).
tcf(c_2182,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283,c_1682,c_1763]) ).
tcf(c_2192,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282,c_1688]) ).
tcf(c_2225,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279,c_1686]) ).
tcf(c_2248,plain,
( ( e4 = e2 )
| ( op(e2,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_277,c_1687]) ).
tcf(c_2249,plain,
( ( op(e2,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2248,c_126,c_1679]) ).
tcf(c_2259,plain,
( ( e4 = e2 )
| ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_276,c_1687]) ).
tcf(c_2260,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2259,c_126,c_1683]) ).
tcf(c_2281,plain,
( ( e3 = e2 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_274,c_1687]) ).
tcf(c_2282,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2281,c_125,c_1800]) ).
tcf(c_2320,plain,
( ( e0 = e2 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_269,c_1687]) ).
tcf(c_2321,plain,
( ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2320,c_119,c_1766]) ).
tcf(c_2331,plain,
( ( e0 = e2 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_268,c_1687]) ).
tcf(c_2332,plain,
( ( op(e4,e1) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2331,c_119,c_1762]) ).
tcf(c_2342,plain,
( ( op(e2,e3) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267,c_1680]) ).
tcf(c_2368,plain,
( ( op(e1,e3) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265,c_1803]) ).
tcf(c_2381,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264,c_1799]) ).
tcf(c_2394,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263,c_1695]) ).
tcf(c_2440,plain,
( ( op(e2,e3) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259,c_1765]) ).
tcf(c_2453,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258,c_1761]) ).
tcf(c_2466,plain,
( ( e3 = e4 )
| ( e0 = e4 )
| ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_257,c_1758,c_1796]) ).
tcf(c_2467,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2466,c_127,c_121]) ).
tcf(c_2488,plain,
( ( e3 = e2 )
| ( e0 = e2 )
| ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_253,c_1758,c_1796]) ).
tcf(c_2489,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2488,c_125,c_119,c_1694]) ).
tcf(c_2496,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_252,c_1796]) ).
tcf(c_2497,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2496,c_125,c_1690]) ).
tcf(c_2507,plain,
( ( e3 = e1 )
| ( e0 = e1 )
| ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_251,c_1758,c_1796]) ).
tcf(c_2508,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2507,c_123,c_118]) ).
tcf(c_2518,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_250,c_1796]) ).
tcf(c_2519,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2518,c_123]) ).
tcf(c_2546,plain,
( ( e3 = e4 )
| ( op(e2,e1) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_245,c_397]) ).
tcf(c_2547,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2546,c_127,c_1802]) ).
tcf(c_2557,plain,
( ( e3 = e4 )
| ( e0 = e3 )
| ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_244,c_397,c_1758]) ).
tcf(c_2558,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2557,c_127,c_120]) ).
tcf(c_2568,plain,
( ( e4 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_243,c_397]) ).
tcf(c_2569,plain,
( ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2568,c_126,c_1693]) ).
tcf(c_2579,plain,
( ( e4 = e2 )
| ( e0 = e2 )
| ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_242,c_397,c_1758]) ).
tcf(c_2580,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2579,c_126,c_119,c_1689]) ).
tcf(c_2587,plain,
( ( e4 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_241,c_397]) ).
tcf(c_2588,plain,
( ( op(e2,e1) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2587,c_124]) ).
tcf(c_2601,plain,
( ( e4 = e1 )
| ( e0 = e1 )
| ( op(e1,e4) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_240,c_397,c_1758]) ).
tcf(c_2602,plain,
( ( op(e1,e4) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2601,c_124,c_118]) ).
tcf(c_2612,plain,
( ( e0 = e4 )
| ( op(e2,e1) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_239,c_397]) ).
tcf(c_2613,plain,
( ( op(e2,e1) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2612,c_121]) ).
tcf(c_2626,plain,
( ( op(e2,e0) = e4 )
| ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237,c_1682]) ).
tcf(c_2652,plain,
( ( op(e1,e0) = e3 )
| ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235,c_1801]) ).
tcf(c_2665,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234,c_1798]) ).
tcf(c_2678,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233,c_1692]) ).
tcf(c_2724,plain,
( ( op(e2,e0) = e0 )
| ( op(e4,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229,c_1763]) ).
tcf(c_2737,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e4) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228,c_1759]) ).
tcf(c_2750,plain,
( ( e1 = e2 )
| ( e4 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_70,c_397,c_1687,c_1796]) ).
tcf(c_2751,plain,
( ( op(e3,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2750,c_122,c_124,c_123]) ).
tcf(c_2758,plain,
( ( e0 = e2 )
| ( e0 = e4 )
| ( e0 = e3 )
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_69,c_397,c_1687,c_1796]) ).
tcf(c_2759,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2758,c_119,c_121,c_120]) ).
tcf(c_8459,plain,
( ( e0 = e1 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_2751,c_2759]) ).
tcf(c_8461,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8459,c_118]) ).
tcf(c_8482,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) != e4 ) ),
inference(superposition,[status(thm)],[c_2033,c_157]) ).
tcf(c_8491,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_2759,c_160]) ).
tcf(c_8492,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_160]) ).
tcf(c_8497,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e0 )
| ( op(e0,e3) != e4 ) ),
inference(superposition,[status(thm)],[c_2020,c_161]) ).
tcf(c_8503,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_163]) ).
tcf(c_8508,plain,
( ( op(e0,e0) = e1 )
| ( op(e2,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_165]) ).
tcf(c_8575,plain,
( ( op(e4,e0) = e1 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e0 )
| ( op(e3,e0) != e4 ) ),
inference(superposition,[status(thm)],[c_2050,c_137]) ).
tcf(c_8592,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e0) != e0 ) ),
inference(superposition,[status(thm)],[c_2759,c_210]) ).
tcf(c_8593,plain,
( ( op(e0,e0) = e1 )
| ( op(e3,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_210]) ).
tcf(c_8614,plain,
( ( op(e3,e4) = e1 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e0 )
| ( op(e3,e0) != e4 ) ),
inference(superposition,[status(thm)],[c_2063,c_211]) ).
tcf(c_8631,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_2759,c_213]) ).
tcf(c_8632,plain,
( ( op(e0,e0) = e1 )
| ( op(e3,e1) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_213]) ).
tcf(c_8639,plain,
( ( op(e0,e0) = e1 )
| ( op(e3,e2) != e1 ) ),
inference(superposition,[status(thm)],[c_2751,c_215]) ).
tcf(c_8675,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) != e4 ) ),
inference(superposition,[status(thm)],[c_2020,c_225]) ).
tcf(c_8688,plain,
( sP9
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e4,e0)) = e4 ) ),
inference(superposition,[status(thm)],[c_349,c_52]) ).
tcf(c_8701,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e0) != e4 ) ),
inference(superposition,[status(thm)],[c_2086,c_209]) ).
tcf(c_8741,plain,
( ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e3,op(e4,e3)) = e4 )
| ( op(e3,op(e0,e3)) = e0 ) ),
inference(superposition,[status(thm)],[c_314,c_64]) ).
fof(f10,definition,
( ~ sP0
| ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP1
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP2
| ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP3
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP4
| ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP5
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP6
| ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP7
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ~ sP8
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ~ sP9
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,plain,
( ( sP0
| sP1
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( sP2
| sP3
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( sP4
| sP5
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( sP6
| sP7
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( sP8
| sP9
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f30,plain,
( ~ sP0
| ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f49,plain,
( ~ sP0
| e4 = op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f50,plain,
( ~ sP0
| e4 != op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_67,plain,
( ~ sP0
| ( op(e4,op(e4,e4)) != e4 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_68,plain,
( ( op(e4,op(e4,e4)) = e4 )
| ~ sP0 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_303,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_68,c_68,c_67]) ).
tcf(c_325,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e2,e4)) = e2 )
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_109,c_68,c_67,c_109]) ).
tcf(c_326,negated_conjecture,
( sP1
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_325]) ).
tcf(c_351,plain,
( ( op(e1,op(e1,e4)) != e4 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0 )
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_110,c_110,c_303]) ).
tcf(c_352,negated_conjecture,
( sP1
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e2,op(e2,e4)) != e4 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_351]) ).
tcf(c_8761,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8701,c_8675,c_8639,c_8632,c_8631,c_8614,c_8593,c_8592,c_8575,c_8508,c_8503,c_8497,c_8492,c_8491,c_8482,c_8461,c_8741,c_8688,c_2759,c_2751,c_2737,c_2724,c_2678,c_2665,c_2652,c_2626,c_2613,c_2602,c_2588,c_2580,c_2569,c_2558,c_2547,c_2519,c_2508,c_2497,c_2489,c_2467,c_2453,c_2440,c_2394,c_2381,c_2368,c_2342,c_2332,c_2321,c_2282,c_2260,c_2249,c_2225,c_2192,c_2182,c_2172,c_2165,c_2152,c_2142,c_2129,c_2119,c_2096,c_2086,c_2063,c_2050,c_2040,c_2033,c_1850,c_1837,c_1798,c_1796,c_1783,c_1765,c_1763,c_1761,c_1758,c_1691,c_1687,c_1686,c_1682,c_1680,c_384,c_352,c_379,c_373,c_369,c_332,c_330,c_326,c_349,c_341,c_293,c_281,c_231,c_223,c_222,c_220,c_219,c_218,c_217,c_214,c_212,c_211,c_209,c_208,c_207,c_204,c_203,c_201,c_200,c_198,c_190,c_187,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_175,c_173,c_172,c_170,c_168,c_167,c_166,c_164,c_162,c_161,c_159,c_158,c_157,c_150,c_147,c_146,c_141,c_140,c_139,c_137,c_136,c_135,c_134,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_66,c_64,c_63,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG061+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n006.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Fri Sep 25 04:39:27 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 3.98/1.51 % SZS status Started for theBenchmark.p
% 3.98/1.51 % SZS status Theorem for theBenchmark.p
% 3.98/1.51
% 3.98/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.98/1.51
% 3.98/1.51 % ------ iProver source info
% 3.98/1.51
% 3.98/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 3.98/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.98/1.51 % git: non_committed_changes: false
% 3.98/1.51
% 3.98/1.51 % ------ Parsing...
% 3.98/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.98/1.51
% 3.98/1.51 % ------ Preprocessing... sup_sim: 109 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.98/1.51
% 3.98/1.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.98/1.51
% 3.98/1.51 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.98/1.51 % ------ Proving...
% 3.98/1.51 % ------ Problem Properties
% 3.98/1.51
% 3.98/1.51 %
% 3.98/1.51 % clauses 221
% 3.98/1.51 % conjectures 24
% 3.98/1.51 % EPR 10
% 3.98/1.51 % Horn 130
% 3.98/1.51 % unary 112
% 3.98/1.51 % binary 22
% 3.98/1.51 % lits 491
% 3.98/1.51 % lits eq 435
% 3.98/1.51 % fd_pure 0
% 3.98/1.51 % fd_pseudo 0
% 3.98/1.51 % fd_cond 0
% 3.98/1.51 % fd_pseudo_cond 0
% 3.98/1.51 % AC symbols 0
% 3.98/1.51
% 3.98/1.51 % ------ Schedule dynamic 5 is on
% 3.98/1.51
% 3.98/1.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.98/1.51
% 3.98/1.51
% 3.98/1.51 % ------
% 3.98/1.51 % Current options:
% 3.98/1.51 % ------
% 3.98/1.51
% 3.98/1.51
% 3.98/1.51 %
% 3.98/1.51
% 3.98/1.51 % ------ Proving...
% 3.98/1.51 %
% 3.98/1.51
% 3.98/1.51 % SZS status Theorem for theBenchmark.p
% 3.98/1.51
% 3.98/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.98/1.51
% 3.98/1.51
%------------------------------------------------------------------------------