%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG056+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 12:53:18 PM UTC 2026
% Result : Theorem 3.91s 1.28s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 686 ( 246 unt; 34 def)
% Number of atoms : 2960 (2377 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 3123 ( 849 ~;1714 |; 560 &)
% ( 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 : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( 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 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( 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 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( 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 ) ) ),
inference(flattening,[],[f8]) ).
fof(f45,plain,
( ~ sP33
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f46,plain,
( ~ sP32
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f49,plain,
( ~ sP29
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f50,plain,
( ~ sP28
| ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f51,plain,
( ~ sP27
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f52,plain,
( ~ sP26
| ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f53,plain,
( ~ sP25
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f54,plain,
( ~ sP24
| ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f55,plain,
( ~ sP23
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f56,plain,
( ~ sP22
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f57,plain,
( ~ sP21
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f58,plain,
( ~ sP20
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f59,plain,
( ~ sP19
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f60,plain,
( ~ sP18
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f61,plain,
( ~ sP17
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f62,plain,
( ~ sP16
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f63,plain,
( ~ sP15
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f64,plain,
( ~ sP14
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f65,plain,
( ~ sP13
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f66,plain,
( ~ sP12
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f67,plain,
( ~ sP11
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f68,plain,
( ~ sP10
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f69,plain,
( ~ sP9
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
( ~ sP8
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f71,plain,
( ~ sP7
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f72,plain,
( ~ sP6
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f73,plain,
( ~ sP5
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f74,plain,
( ~ sP4
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f75,plain,
( ~ sP3
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f76,plain,
( ~ sP2
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f77,plain,
( ~ sP1
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f79,plain,
( ~ sP33
| e3 = op(e0,op(e3,e0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
( ~ sP33
| e0 != op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
( ~ sP32
| e4 = op(e0,op(e4,e0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
( ~ sP32
| e0 != op(e4,op(e4,e0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f87,plain,
( ~ sP29
| e3 = op(e2,op(e3,e2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f89,plain,
( ~ sP28
| e4 = op(e2,op(e4,e2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f91,plain,
( ~ sP27
| e3 = op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f92,plain,
( ~ sP27
| e3 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
( ~ sP26
| e4 = op(e3,op(e4,e3)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f95,plain,
( ~ sP25
| e3 = op(e4,op(e3,e4)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f96,plain,
( ~ sP25
| e4 != op(e3,op(e3,e4)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f97,plain,
( ~ sP24
| e4 = op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f98,plain,
( ~ sP24
| e4 != op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f100,plain,
( ~ sP23
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f101,plain,
( ~ sP23
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f103,plain,
( ~ sP22
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f106,plain,
( ~ sP21
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
( ~ sP21
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f110,plain,
( ~ sP20
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
( ~ sP19
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f113,plain,
( ~ sP19
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f114,plain,
( ~ sP18
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
( ~ sP18
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f118,plain,
( ~ sP17
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f121,plain,
( ~ sP16
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f124,plain,
( ~ sP15
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f128,plain,
( ~ sP14
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f131,plain,
( ~ sP13
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f132,plain,
( ~ sP12
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f133,plain,
( ~ sP12
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f137,plain,
( ~ sP11
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f139,plain,
( ~ sP10
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f142,plain,
( ~ sP9
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f143,plain,
( ~ sP9
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f146,plain,
( ~ sP8
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f148,plain,
( ~ sP7
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f150,plain,
( ~ sP6
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f151,plain,
( ~ sP6
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f154,plain,
( ~ sP5
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f73]) ).
fof(f157,plain,
( ~ sP4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f161,plain,
( ~ sP3
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f75]) ).
fof(f164,plain,
( ~ sP2
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f76]) ).
fof(f167,plain,
( ~ sP1
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f77]) ).
fof(f171,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f172,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f174,plain,
( sP24
| sP25
| e2 = op(e4,op(e2,e4))
| e1 = op(e4,op(e1,e4))
| e0 = op(e4,op(e0,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f176,plain,
( sP24
| sP25
| e2 = op(e4,op(e2,e4))
| e4 != op(e1,op(e1,e4))
| e0 = op(e4,op(e0,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f178,plain,
( sP24
| sP25
| e2 = op(e4,op(e2,e4))
| e1 = op(e4,op(e1,e4))
| e4 != op(e0,op(e0,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f184,plain,
( sP26
| sP27
| e2 = op(e3,op(e2,e3))
| e3 != op(e1,op(e1,e3))
| e0 = op(e3,op(e0,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f186,plain,
( sP26
| sP27
| e2 = op(e3,op(e2,e3))
| e1 = op(e3,op(e1,e3))
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f188,plain,
( sP26
| sP27
| e2 = op(e3,op(e2,e3))
| e3 != op(e1,op(e1,e3))
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f190,plain,
( sP28
| sP29
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f191,plain,
( sP28
| sP29
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f192,plain,
( sP28
| sP29
| e2 = op(e2,op(e2,e2))
| e2 != op(e1,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f193,plain,
( sP28
| sP29
| e2 != op(e2,op(e2,e2))
| e2 != op(e1,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
( sP28
| sP29
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f195,plain,
( sP28
| sP29
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f206,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f207,plain,
( sP32
| sP33
| e0 != op(e2,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f208,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f209,plain,
( sP32
| sP33
| e0 != op(e2,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f210,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f211,plain,
( sP32
| sP33
| e0 != op(e2,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f212,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f213,plain,
( sP32
| sP33
| e0 != op(e2,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f214,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f229,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f235,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f237,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f243,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f246,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f247,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f248,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f253,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f254,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f255,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f256,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f257,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f258,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f259,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f261,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f263,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f264,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f266,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f267,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f268,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f269,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f270,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f271,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f272,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f273,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f274,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f275,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f276,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f277,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f279,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f281,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f282,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f283,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f284,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f285,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f286,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f288,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f289,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f290,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f291,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f292,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f295,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f296,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f297,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f298,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f299,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f300,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f303,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f305,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f306,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f312,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f313,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f314,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f316,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f317,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f318,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f319,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f320,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f321,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f322,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f323,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f324,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f325,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f326,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f327,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f328,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(f329,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(f332,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f333,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f338,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(f339,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f340,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(f341,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(f342,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(f344,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f346,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(f347,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(f349,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f352,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(f353,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(f354,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(f355,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(f356,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f358,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f359,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(f360,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(f361,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(f363,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(f364,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(f366,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(f368,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(f370,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(f371,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(f372,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(f374,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(f375,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f376,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(f377,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(f382,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(f385,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(f387,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(f389,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(f391,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(f392,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(f393,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(f394,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(f397,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(f398,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(f399,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(f402,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_49,plain,
( ~ sP33
| ( op(e3,op(e3,e0)) != e0 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_50,plain,
( ( op(e0,op(e3,e0)) = e3 )
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_51,plain,
( ~ sP32
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_52,plain,
( ( op(e0,op(e4,e0)) = e4 )
| ~ sP32 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_58,plain,
( ( op(e2,op(e3,e2)) = e3 )
| ~ sP29 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_60,plain,
( ( op(e2,op(e4,e2)) = e4 )
| ~ sP28 ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_61,plain,
( ~ sP27
| ( op(e3,op(e3,e3)) != e3 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_62,plain,
( ( op(e3,op(e3,e3)) = e3 )
| ~ sP27 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_64,plain,
( ( op(e3,op(e4,e3)) = e4 )
| ~ sP26 ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_65,plain,
( ~ sP25
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_66,plain,
( ( op(e4,op(e3,e4)) = e3 )
| ~ sP25 ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_67,plain,
( ~ sP24
| ( op(e4,op(e4,e4)) != e4 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_68,plain,
( ( op(e4,op(e4,e4)) = e4 )
| ~ sP24 ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_69,plain,
( ( op(e0,e0) = e1 )
| ~ sP23 ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_70,plain,
( ( op(e1,e1) = e0 )
| ~ sP23 ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_73,plain,
( ( op(e2,e2) = e0 )
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_75,plain,
( ( op(e0,e0) = e3 )
| ~ sP21 ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_76,plain,
( ( op(e3,e3) = e0 )
| ~ sP21 ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_78,plain,
( ( op(e0,e0) = e4 )
| ~ sP20 ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_81,plain,
( ( op(e1,e1) = e0 )
| ~ sP19 ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_82,plain,
( ( op(e0,e0) = e1 )
| ~ sP19 ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_85,plain,
( ( op(e1,e1) = e1 )
| ~ sP18 ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_86,plain,
( ~ sP18
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_88,plain,
( ( op(e2,e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_91,plain,
( ( op(e3,e3) = e1 )
| ~ sP16 ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_94,plain,
( ( op(e4,e4) = e1 )
| ~ sP15 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_96,plain,
( ( op(e2,e2) = e0 )
| ~ sP14 ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_99,plain,
( ( op(e2,e2) = e1 )
| ~ sP13 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_103,plain,
( ( op(e2,e2) = e2 )
| ~ sP12 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_104,plain,
( ~ sP12
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_105,plain,
( ( op(e2,e2) = e3 )
| ~ sP11 ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_109,plain,
( ( op(e4,e4) = e2 )
| ~ sP10 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_111,plain,
( ( op(e3,e3) = e0 )
| ~ sP9 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_112,plain,
( ( op(e0,e0) = e3 )
| ~ sP9 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_114,plain,
( ( op(e3,e3) = e1 )
| ~ sP8 ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_118,plain,
( ( op(e2,e2) = e3 )
| ~ sP7 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_121,plain,
( ( op(e3,e3) = e3 )
| ~ sP6 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_122,plain,
( ~ sP6
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_124,plain,
( ( op(e4,e4) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_127,plain,
( ( op(e0,e0) = e4 )
| ~ sP4 ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_129,plain,
( ( op(e4,e4) = e1 )
| ~ sP3 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_132,plain,
( ( op(e4,e4) = e2 )
| ~ sP2 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_135,plain,
( ( op(e4,e4) = e3 )
| ~ sP1 ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_141,negated_conjecture,
( sP32
| sP33
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_142,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_143,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_144,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_145,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_146,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_147,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_148,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) = e0 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_159,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_160,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_161,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_162,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_163,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e2,e2)) != e2 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_164,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_166,negated_conjecture,
( sP26
| sP27
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_168,negated_conjecture,
( sP26
| sP27
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_170,negated_conjecture,
( sP26
| sP27
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_176,negated_conjecture,
( sP24
| sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_178,negated_conjecture,
( sP24
| sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_180,negated_conjecture,
( sP24
| sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e0,e4)) = e0 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_182,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_183,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_184,plain,
op(op(e2,e2),op(e2,e2)) = e0,
inference(cnf_transformation,[],[f217]) ).
tcf(c_185,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
inference(cnf_transformation,[],[f216]) ).
tcf(c_186,plain,
op(e2,op(e2,e2)) = e3,
inference(cnf_transformation,[],[f215]) ).
tcf(c_187,plain,
op(e2,e2) = e4,
inference(cnf_transformation,[],[f214]) ).
tcf(c_188,plain,
e0 != e1,
inference(cnf_transformation,[],[f227]) ).
tcf(c_189,plain,
e0 != e2,
inference(cnf_transformation,[],[f226]) ).
tcf(c_190,plain,
e0 != e3,
inference(cnf_transformation,[],[f225]) ).
tcf(c_191,plain,
e0 != e4,
inference(cnf_transformation,[],[f224]) ).
tcf(c_192,plain,
e1 != e2,
inference(cnf_transformation,[],[f223]) ).
tcf(c_193,plain,
e3 != e1,
inference(cnf_transformation,[],[f222]) ).
tcf(c_194,plain,
e4 != e1,
inference(cnf_transformation,[],[f221]) ).
tcf(c_195,plain,
e3 != e2,
inference(cnf_transformation,[],[f220]) ).
tcf(c_196,plain,
e4 != e2,
inference(cnf_transformation,[],[f219]) ).
tcf(c_197,plain,
e3 != e4,
inference(cnf_transformation,[],[f218]) ).
tcf(c_198,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f327]) ).
tcf(c_199,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f326]) ).
tcf(c_200,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f325]) ).
tcf(c_201,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f324]) ).
tcf(c_202,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f323]) ).
tcf(c_203,plain,
op(e3,e0) != op(e1,e0),
inference(cnf_transformation,[],[f322]) ).
tcf(c_204,plain,
op(e4,e0) != op(e1,e0),
inference(cnf_transformation,[],[f321]) ).
tcf(c_205,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f320]) ).
tcf(c_206,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f319]) ).
tcf(c_207,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f318]) ).
tcf(c_208,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f317]) ).
tcf(c_209,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f316]) ).
tcf(c_211,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f314]) ).
tcf(c_212,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f313]) ).
tcf(c_213,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f312]) ).
tcf(c_215,plain,
op(e3,e1) != op(e2,e1),
inference(cnf_transformation,[],[f310]) ).
tcf(c_219,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f306]) ).
tcf(c_220,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f305]) ).
tcf(c_222,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f303]) ).
tcf(c_225,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f300]) ).
tcf(c_226,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f299]) ).
tcf(c_227,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f298]) ).
tcf(c_228,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f297]) ).
tcf(c_229,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f296]) ).
tcf(c_230,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f295]) ).
tcf(c_233,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f292]) ).
tcf(c_234,plain,
op(e4,e3) != op(e1,e3),
inference(cnf_transformation,[],[f291]) ).
tcf(c_235,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f290]) ).
tcf(c_236,plain,
op(e4,e3) != op(e2,e3),
inference(cnf_transformation,[],[f289]) ).
tcf(c_237,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f288]) ).
tcf(c_239,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f286]) ).
tcf(c_240,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f285]) ).
tcf(c_241,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f284]) ).
tcf(c_242,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f283]) ).
tcf(c_243,plain,
op(e3,e4) != op(e1,e4),
inference(cnf_transformation,[],[f282]) ).
tcf(c_244,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f281]) ).
tcf(c_246,plain,
op(e4,e4) != op(e2,e4),
inference(cnf_transformation,[],[f279]) ).
tcf(c_248,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f277]) ).
tcf(c_249,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f276]) ).
tcf(c_250,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f275]) ).
tcf(c_251,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f274]) ).
tcf(c_252,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f273]) ).
tcf(c_253,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f272]) ).
tcf(c_254,plain,
op(e0,e4) != op(e0,e1),
inference(cnf_transformation,[],[f271]) ).
tcf(c_255,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f270]) ).
tcf(c_256,plain,
op(e0,e4) != op(e0,e2),
inference(cnf_transformation,[],[f269]) ).
tcf(c_257,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f268]) ).
tcf(c_258,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f267]) ).
tcf(c_259,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f266]) ).
tcf(c_260,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f265]) ).
tcf(c_261,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f264]) ).
tcf(c_262,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f263]) ).
tcf(c_263,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f262]) ).
tcf(c_264,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f261]) ).
tcf(c_266,plain,
op(e1,e4) != op(e1,e2),
inference(cnf_transformation,[],[f259]) ).
tcf(c_267,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f258]) ).
tcf(c_268,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f257]) ).
tcf(c_269,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f256]) ).
tcf(c_270,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f255]) ).
tcf(c_271,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f254]) ).
tcf(c_272,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f253]) ).
tcf(c_273,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f252]) ).
tcf(c_274,plain,
op(e2,e4) != op(e2,e1),
inference(cnf_transformation,[],[f251]) ).
tcf(c_275,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f250]) ).
tcf(c_277,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f248]) ).
tcf(c_278,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f247]) ).
tcf(c_279,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_280,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f245]) ).
tcf(c_281,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f244]) ).
tcf(c_282,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_283,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f242]) ).
tcf(c_284,plain,
op(e3,e4) != op(e3,e1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_285,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f240]) ).
tcf(c_286,plain,
op(e3,e4) != op(e3,e2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_287,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f238]) ).
tcf(c_288,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f237]) ).
tcf(c_289,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f236]) ).
tcf(c_290,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f235]) ).
tcf(c_291,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f234]) ).
tcf(c_292,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f233]) ).
tcf(c_294,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f231]) ).
tcf(c_295,plain,
op(e4,e3) != op(e4,e2),
inference(cnf_transformation,[],[f230]) ).
tcf(c_296,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f229]) ).
tcf(c_297,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f228]) ).
tcf(c_298,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e4) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_299,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e4,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_300,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_301,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_303,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_304,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e4) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_305,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_307,plain,
( ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_309,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_311,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_312,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_314,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_315,plain,
( ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_316,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_317,plain,
( ( op(e2,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_318,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_319,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_320,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_321,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_322,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_323,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_325,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_326,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_328,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_329,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_331,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_333,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_334,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_335,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_336,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_337,plain,
( ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_340,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e4) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_342,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_343,plain,
( ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e4,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_346,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e4) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_347,plain,
( ( op(e2,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e4,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_348,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_351,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_352,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_353,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_356,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_357,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_358,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_359,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_361,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_363,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_365,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_368,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_379,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_121,c_121,c_122]) ).
tcf(c_385,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_103,c_103,c_104]) ).
tcf(c_389,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_85,c_85,c_86]) ).
tcf(c_401,plain,
~ sP24,
inference(global_subsumption_just,[status(thm)],[c_68,c_68,c_67]) ).
tcf(c_403,plain,
~ sP27,
inference(global_subsumption_just,[status(thm)],[c_62,c_62,c_61]) ).
tcf(c_409,plain,
( ( op(e4,op(e0,e4)) = e0 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e2,e4)) = e2 )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_180,c_180,c_401]) ).
tcf(c_410,negated_conjecture,
( sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e0,e4)) = e0 ) ),
inference(renaming,[status(thm)],[c_409]) ).
tcf(c_413,plain,
( sP28
| sP29
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_164,c_163]) ).
tcf(c_414,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(renaming,[status(thm)],[c_413]) ).
tcf(c_417,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_148,c_148,c_144]) ).
tcf(c_421,plain,
( ( op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e4,op(e2,e4)) = e2 )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_178,c_68,c_67,c_178]) ).
tcf(c_422,negated_conjecture,
( sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_421]) ).
tcf(c_423,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e2,e4)) = e2 )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_176,c_68,c_67,c_176]) ).
tcf(c_424,negated_conjecture,
( sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_423]) ).
tcf(c_427,plain,
( sP26
| ( 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_170,c_62,c_61,c_170]) ).
tcf(c_428,negated_conjecture,
( sP26
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_427]) ).
tcf(c_429,plain,
( sP26
| ( 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_168,c_62,c_61,c_168]) ).
tcf(c_430,negated_conjecture,
( sP26
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e1,e3)) = e1 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_429]) ).
tcf(c_431,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_414]) ).
tcf(c_433,plain,
( sP28
| sP29
| ( op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_162,c_162,c_161]) ).
tcf(c_434,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(renaming,[status(thm)],[c_433]) ).
tcf(c_435,plain,
( sP28
| sP29
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_160,c_159]) ).
tcf(c_436,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(renaming,[status(thm)],[c_435]) ).
tcf(c_443,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_147,c_147,c_143]) ).
tcf(c_445,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_146,c_146,c_142]) ).
tcf(c_447,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_144,c_417]) ).
tcf(c_459,plain,
( sP26
| ( op(e0,op(e0,e3)) != e3 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_166,c_166,c_403]) ).
tcf(c_460,negated_conjecture,
( sP26
| ( op(e3,op(e2,e3)) = e2 )
| ( op(e1,op(e1,e3)) != e3 )
| ( op(e0,op(e0,e3)) != e3 ) ),
inference(renaming,[status(thm)],[c_459]) ).
tcf(c_461,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_434]) ).
tcf(c_463,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_159,c_436]) ).
tcf(c_473,plain,
( sP32
| sP33
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_145,c_145,c_141]) ).
tcf(c_474,negated_conjecture,
( sP32
| sP33
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(renaming,[status(thm)],[c_473]) ).
tcf(c_475,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_143,c_443]) ).
tcf(c_477,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_142,c_445]) ).
tcf(c_487,negated_conjecture,
( sP32
| sP33
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_474]) ).
tcf(c_497,plain,
op(e2,e2) = e4,
inference(global_subsumption_just,[status(thm)],[c_326,c_187]) ).
tcf(c_2021,plain,
op(e2,e4) = e3,
inference(light_normalisation,[status(thm)],[c_186,c_497]) ).
tcf(c_2056,plain,
( ( e3 = e4 )
| ~ sP7 ),
inference(light_normalisation,[status(thm)],[c_118,c_497]) ).
tcf(c_2057,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_2056,c_197]) ).
tcf(c_2082,plain,
( ( e3 = e4 )
| ~ sP11 ),
inference(light_normalisation,[status(thm)],[c_105,c_497]) ).
tcf(c_2083,plain,
~ sP11,
inference(forward_subsumption_resolution,[status(thm)],[c_2082,c_197]) ).
tcf(c_2088,plain,
( ( e4 = e1 )
| ~ sP13 ),
inference(light_normalisation,[status(thm)],[c_99,c_497]) ).
tcf(c_2089,plain,
~ sP13,
inference(forward_subsumption_resolution,[status(thm)],[c_2088,c_194]) ).
tcf(c_2094,plain,
( ( e0 = e4 )
| ~ sP14 ),
inference(light_normalisation,[status(thm)],[c_96,c_497]) ).
tcf(c_2095,plain,
~ sP14,
inference(forward_subsumption_resolution,[status(thm)],[c_2094,c_191]) ).
tcf(c_2112,plain,
( ( e4 = e1 )
| ~ sP17 ),
inference(light_normalisation,[status(thm)],[c_88,c_497]) ).
tcf(c_2113,plain,
~ sP17,
inference(forward_subsumption_resolution,[status(thm)],[c_2112,c_194]) ).
tcf(c_2138,plain,
( ( e0 = e4 )
| ~ sP22 ),
inference(light_normalisation,[status(thm)],[c_73,c_497]) ).
tcf(c_2139,plain,
~ sP22,
inference(forward_subsumption_resolution,[status(thm)],[c_2138,c_191]) ).
tcf(c_2148,plain,
op(e2,e3) != e3,
inference(light_normalisation,[status(thm)],[c_277,c_2021]) ).
tcf(c_2150,plain,
op(e2,e3) != e4,
inference(light_normalisation,[status(thm)],[c_275,c_497]) ).
tcf(c_2151,plain,
op(e2,e1) != e3,
inference(light_normalisation,[status(thm)],[c_274,c_2021]) ).
tcf(c_2152,plain,
op(e2,e1) != e4,
inference(light_normalisation,[status(thm)],[c_272,c_497]) ).
tcf(c_2153,plain,
op(e2,e0) != e3,
inference(light_normalisation,[status(thm)],[c_271,c_2021]) ).
tcf(c_2154,plain,
op(e2,e0) != e4,
inference(light_normalisation,[status(thm)],[c_269,c_497]) ).
tcf(c_2155,plain,
op(e4,e4) != e3,
inference(light_normalisation,[status(thm)],[c_246,c_2021]) ).
tcf(c_2156,plain,
~ sP1,
inference(backward_subsumption_resolution,[status(thm)],[c_135,c_2155]) ).
tcf(c_2157,plain,
~ sP5,
inference(backward_subsumption_resolution,[status(thm)],[c_124,c_2155]) ).
tcf(c_2159,plain,
op(e1,e4) != e3,
inference(light_normalisation,[status(thm)],[c_242,c_2021]) ).
tcf(c_2160,plain,
op(e0,e4) != e3,
inference(light_normalisation,[status(thm)],[c_239,c_2021]) ).
tcf(c_2161,plain,
op(e4,e2) != e4,
inference(light_normalisation,[status(thm)],[c_226,c_497]) ).
tcf(c_2162,plain,
op(e3,e2) != e4,
inference(light_normalisation,[status(thm)],[c_225,c_497]) ).
tcf(c_2163,plain,
op(e1,e2) != e4,
inference(light_normalisation,[status(thm)],[c_222,c_497]) ).
tcf(c_2164,plain,
op(e0,e2) != e4,
inference(light_normalisation,[status(thm)],[c_219,c_497]) ).
tcf(c_2206,plain,
op(e4,e4) = e0,
inference(light_normalisation,[status(thm)],[c_184,c_497]) ).
tcf(c_2207,plain,
op(e0,e4) != e0,
inference(demodulation,[status(thm)],[c_241,c_2206]) ).
tcf(c_2208,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm)],[c_244,c_2206]) ).
tcf(c_2211,plain,
op(e4,e0) != e0,
inference(demodulation,[status(thm)],[c_291,c_2206]) ).
tcf(c_2212,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm)],[c_294,c_2206]) ).
tcf(c_2213,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm)],[c_296,c_2206]) ).
tcf(c_2214,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm)],[c_297,c_2206]) ).
tcf(c_2216,plain,
( ( e0 = e1 )
| ~ sP15 ),
inference(demodulation,[status(thm)],[c_94,c_2206]) ).
tcf(c_2217,plain,
( ( e0 = e2 )
| ~ sP10 ),
inference(demodulation,[status(thm)],[c_109,c_2206]) ).
tcf(c_2219,plain,
( ( e0 = e1 )
| ~ sP3 ),
inference(demodulation,[status(thm)],[c_129,c_2206]) ).
tcf(c_2220,plain,
( ( e0 = e2 )
| ~ sP2 ),
inference(demodulation,[status(thm)],[c_132,c_2206]) ).
tcf(c_2221,plain,
~ sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_2220,c_189]) ).
tcf(c_2222,plain,
~ sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_2219,c_188]) ).
tcf(c_2223,plain,
~ sP10,
inference(forward_subsumption_resolution,[status(thm)],[c_2217,c_189]) ).
tcf(c_2224,plain,
~ sP15,
inference(forward_subsumption_resolution,[status(thm)],[c_2216,c_188]) ).
tcf(c_2289,plain,
op(e3,e4) = e1,
inference(light_normalisation,[status(thm)],[c_185,c_497,c_2021]) ).
tcf(c_2290,plain,
( ~ sP25
| ( op(e3,e1) != e4 ) ),
inference(demodulation,[status(thm)],[c_65,c_2289]) ).
tcf(c_2291,plain,
( ( op(e4,e1) = e3 )
| ~ sP25 ),
inference(demodulation,[status(thm)],[c_66,c_2289]) ).
tcf(c_2293,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm)],[c_240,c_2289]) ).
tcf(c_2294,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm)],[c_243,c_2289]) ).
tcf(c_2296,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm)],[c_281,c_2289]) ).
tcf(c_2297,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm)],[c_284,c_2289]) ).
tcf(c_2298,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm)],[c_286,c_2289]) ).
tcf(c_2299,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm)],[c_287,c_2289]) ).
tcf(c_2300,plain,
~ sP8,
inference(backward_subsumption_resolution,[status(thm)],[c_114,c_2299]) ).
tcf(c_2301,plain,
~ sP16,
inference(backward_subsumption_resolution,[status(thm)],[c_91,c_2299]) ).
tcf(c_2433,plain,
( sP25
| ( op(e4,e3) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e0,e4)) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_410,c_2021]) ).
tcf(c_2470,plain,
( sP25
| ( op(e4,e3) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(light_normalisation,[status(thm)],[c_424,c_2021]) ).
tcf(c_2483,plain,
( sP25
| ( op(e4,e3) = e2 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(light_normalisation,[status(thm)],[c_422,c_2021]) ).
tcf(c_2581,plain,
( ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_368,c_2211]) ).
tcf(c_2607,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365,c_2298,c_2162]) ).
tcf(c_2630,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363,c_2296]) ).
tcf(c_2643,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361,c_2150,c_2148]) ).
tcf(c_2653,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_359,c_2152,c_2151]) ).
tcf(c_2663,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358,c_2154,c_2153]) ).
tcf(c_2673,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e4) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357,c_2294,c_2159,c_2208]) ).
tcf(c_2723,plain,
( ( op(e0,e4) = e2 )
| ( op(e0,e4) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_352,c_2293,c_2160,c_2207]) ).
tcf(c_2773,plain,
( ( e4 = e1 )
| ( e3 = e4 )
| ( e0 = e4 )
| ( op(e1,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_347,c_2021,c_2206,c_2289]) ).
tcf(c_2774,plain,
( ( op(e1,e4) = e4 )
| ( op(e0,e4) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2773,c_194,c_197,c_191]) ).
tcf(c_2781,plain,
( ( e0 = e4 )
| ( op(e4,e2) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_346,c_2206]) ).
tcf(c_2782,plain,
( ( op(e4,e1) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2781,c_191,c_2161]) ).
tcf(c_2806,plain,
( ( e1 = e2 )
| ( e3 = e2 )
| ( e0 = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_343,c_2021,c_2206,c_2289]) ).
tcf(c_2807,plain,
( ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2806,c_192,c_195,c_189]) ).
tcf(c_2814,plain,
( ( e0 = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_342,c_2206]) ).
tcf(c_2815,plain,
( ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2814,c_189]) ).
tcf(c_2828,plain,
( ( e0 = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_340,c_2206]) ).
tcf(c_2829,plain,
( ( op(e4,e2) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2828,c_188]) ).
tcf(c_2842,plain,
( ( op(e1,e3) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337,c_2150]) ).
tcf(c_2855,plain,
( ( e4 = e1 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_336,c_2289]) ).
tcf(c_2856,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2855,c_194,c_2162]) ).
tcf(c_2866,plain,
( ( op(e1,e3) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_335,c_2148]) ).
tcf(c_2879,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_334,c_2289]) ).
tcf(c_2880,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2879,c_193]) ).
tcf(c_2917,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_331,c_2299]) ).
tcf(c_2930,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329,c_2214]) ).
tcf(c_2943,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_328,c_2289]) ).
tcf(c_2944,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2943,c_188]) ).
tcf(c_2957,plain,
( ( e3 = e4 )
| ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_325,c_497]) ).
tcf(c_2958,plain,
( ( op(e1,e2) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2957,c_197]) ).
tcf(c_2971,plain,
( ( e4 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_323,c_497]) ).
tcf(c_2972,plain,
( ( op(e1,e2) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2971,c_196]) ).
tcf(c_2985,plain,
( ( e4 = e2 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_322,c_497,c_2021]) ).
tcf(c_2986,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2985,c_196,c_195]) ).
tcf(c_2996,plain,
( ( e4 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_321,c_497]) ).
tcf(c_2997,plain,
( ( op(e1,e2) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2996,c_194,c_2298]) ).
tcf(c_3007,plain,
( ( e4 = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_320,c_497,c_2021]) ).
tcf(c_3008,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3007,c_194,c_193]) ).
tcf(c_3018,plain,
( ( e0 = e4 )
| ( op(e1,e2) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_319,c_497]) ).
tcf(c_3019,plain,
( ( op(e1,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3018,c_191,c_2213]) ).
tcf(c_3029,plain,
( ( e0 = e4 )
| ( e0 = e3 )
| ( op(e2,e1) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_318,c_497,c_2021]) ).
tcf(c_3030,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3029,c_191,c_190]) ).
tcf(c_3040,plain,
( ( op(e1,e1) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e0,e1) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_317,c_2152]) ).
tcf(c_3053,plain,
( ( op(e1,e1) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_316,c_2163]) ).
tcf(c_3066,plain,
( ( op(e1,e1) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_315,c_2151]) ).
tcf(c_3079,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314,c_2159]) ).
tcf(c_3112,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_311,c_2297]) ).
tcf(c_3138,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_309,c_2212]) ).
tcf(c_3164,plain,
( ( op(e1,e0) = e4 )
| ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307,c_2154]) ).
tcf(c_3190,plain,
( ( op(e1,e0) = e3 )
| ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_305,c_2153]) ).
tcf(c_3203,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304,c_2160]) ).
tcf(c_3236,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e4,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301,c_2296]) ).
tcf(c_3249,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300,c_2293]) ).
tcf(c_3262,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299,c_2211]) ).
tcf(c_3275,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298,c_2207]) ).
tcf(c_9401,plain,
( ( op(e4,e1) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e0,e4)) = e0 ) ),
inference(superposition,[status(thm)],[c_2433,c_2291]) ).
fof(f10,definition,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP1
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP2
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP3
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP4
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP5
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP6
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP7
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ~ sP8
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ~ sP9
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ~ sP10
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ~ sP11
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP12
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP13
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP14
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP15
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP16
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP17
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP18
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP19
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP20
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP21
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP22
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP23
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP24
| ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP25
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP26
| ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP27
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP28
| ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP29
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP30
| ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP31
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP32
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP33
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f44,plain,
( ( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( sP24
| sP25
| ( 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 ) )
& ( sP26
| sP27
| ( 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 ) )
& ( sP28
| sP29
| ( 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 ) )
& ( sP30
| sP31
| ( 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 ) )
& ( sP32
| sP33
| ( 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 ) ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f78,plain,
( ~ sP0
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f168,plain,
( ~ sP0
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f78]) ).
fof(f169,plain,
( ~ sP0
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_139,plain,
( ( op(e4,e4) = e4 )
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_140,plain,
( ~ sP0
| ( op(e4,e4) != e4 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_373,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_139,c_139,c_140]) ).
tcf(c_489,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_182,c_182,c_183,c_373,c_379,c_385,c_389]) ).
tcf(c_490,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_489]) ).
tcf(c_499,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_183,c_490]) ).
tcf(c_500,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_499]) ).
tcf(c_2382,plain,
( sP4
| sP9
| sP19
| sP20
| sP21
| sP23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_500,c_2156,c_2221,c_2222,c_2157,c_2057,c_2300,c_2223,c_2083,c_2089,c_2095,c_2224,c_2301,c_2113,c_2139]) ).
tcf(c_3291,plain,
( sP4
| sP9
| sP19
| sP21
| sP23
| ( op(e0,e0) = e4 ) ),
inference(resolution,[status(thm)],[c_2382,c_78]) ).
tcf(c_3292,plain,
( ( op(e0,e0) = e4 )
| sP23
| sP21
| sP19
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_3291,c_127,c_3291]) ).
tcf(c_3293,plain,
( sP9
| sP19
| sP21
| sP23
| ( op(e0,e0) = e4 ) ),
inference(renaming,[status(thm)],[c_3292]) ).
tcf(c_3345,plain,
( sP9
| sP19
| sP21
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e4 ) ),
inference(resolution,[status(thm)],[c_3293,c_69]) ).
tcf(c_3389,plain,
( sP9
| sP19
| sP23
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(resolution,[status(thm)],[c_3293,c_76]) ).
tcf(c_3390,plain,
( ( op(e0,e0) = e4 )
| ( op(e3,e3) = e0 )
| sP23
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_3389,c_111,c_76,c_3293]) ).
tcf(c_3391,plain,
( sP19
| sP23
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(renaming,[status(thm)],[c_3390]) ).
tcf(c_3404,plain,
( sP9
| sP19
| sP23
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(resolution,[status(thm)],[c_3293,c_75]) ).
tcf(c_3405,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 )
| sP23
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_3404,c_112,c_3404]) ).
tcf(c_3406,plain,
( sP19
| sP23
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_3405]) ).
tcf(c_4774,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_112,c_82,c_69,c_3404]) ).
tcf(c_4775,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_4774]) ).
tcf(c_9310,plain,
( sP19
| sP21
| sP23
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(superposition,[status(thm)],[c_3293,c_111]) ).
tcf(c_9316,plain,
( sP19
| ( op(e0,e0) = e4 )
| ( op(e3,e3) = e0 )
| sP23 ),
inference(global_subsumption_just,[status(thm)],[c_9310,c_3391]) ).
tcf(c_9317,plain,
( sP19
| sP23
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(renaming,[status(thm)],[c_9316]) ).
tcf(c_9326,plain,
( sP23
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e4 ) ),
inference(superposition,[status(thm)],[c_9317,c_82]) ).
tcf(c_9327,plain,
( sP23
| ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(superposition,[status(thm)],[c_9317,c_81]) ).
tcf(c_9336,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_9326,c_111,c_82,c_76,c_3345]) ).
tcf(c_9337,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e4 ) ),
inference(renaming,[status(thm)],[c_9336]) ).
tcf(c_9345,plain,
( ( op(e0,e0) = e4 )
| ( op(e3,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_9327,c_81,c_70,c_3391]) ).
tcf(c_9346,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e0,e0) = e4 ) ),
inference(renaming,[status(thm)],[c_9345]) ).
tcf(c_9358,plain,
( sP19
| sP21
| sP23
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_3293,c_112]) ).
tcf(c_9364,plain,
( sP19
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 )
| sP23 ),
inference(global_subsumption_just,[status(thm)],[c_9358,c_3406]) ).
tcf(c_9365,plain,
( sP19
| sP23
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_9364]) ).
tcf(c_9375,plain,
( sP23
| ( op(e1,e1) = e0 )
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_9365,c_81]) ).
tcf(c_9380,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 )
| ( op(e1,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_9375,c_81,c_70,c_3406]) ).
tcf(c_9381,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_9380]) ).
tcf(c_9438,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_9381,c_208]) ).
tcf(c_9442,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e2,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_9381,c_212]) ).
tcf(c_9495,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_9442,c_9438,c_9381,c_9346,c_9337,c_4775,c_9401,c_9317,c_3275,c_3262,c_3249,c_3236,c_3203,c_3190,c_3164,c_3138,c_3112,c_3079,c_3066,c_3053,c_3040,c_3030,c_3019,c_3008,c_2997,c_2986,c_2972,c_2958,c_2944,c_2930,c_2917,c_2880,c_2866,c_2856,c_2842,c_2829,c_2815,c_2807,c_2782,c_2774,c_2723,c_2673,c_2663,c_2653,c_2643,c_2630,c_2607,c_2581,c_2483,c_2470,c_2296,c_2293,c_2291,c_2290,c_2289,c_2213,c_2206,c_2164,c_2162,c_2160,c_2152,c_487,c_460,c_477,c_475,c_463,c_461,c_430,c_428,c_447,c_431,c_356,c_353,c_351,c_333,c_312,c_303,c_295,c_292,c_290,c_289,c_288,c_285,c_283,c_282,c_280,c_279,c_278,c_273,c_270,c_268,c_267,c_266,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_237,c_236,c_235,c_234,c_233,c_230,c_229,c_228,c_227,c_220,c_215,c_213,c_212,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_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_82,c_69,c_64,c_60,c_58,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG056+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 04:39:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.91/1.28 % SZS status Started for theBenchmark.p
% 3.91/1.28 % SZS status Theorem for theBenchmark.p
% 3.91/1.28
% 3.91/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.91/1.28
% 3.91/1.28 % ------ iProver source info
% 3.91/1.28
% 3.91/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.91/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.91/1.28 % git: non_committed_changes: false
% 3.91/1.28
% 3.91/1.28 % ------ Parsing...
% 3.91/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.91/1.28
% 3.91/1.28 % ------ Preprocessing... sup_sim: 148 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.91/1.28
% 3.91/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.91/1.28
% 3.91/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.91/1.28 % ------ Proving...
% 3.91/1.28 % ------ Problem Properties
% 3.91/1.28
% 3.91/1.28 %
% 3.91/1.28 % clauses 226
% 3.91/1.28 % conjectures 20
% 3.91/1.28 % EPR 10
% 3.91/1.28 % Horn 139
% 3.91/1.28 % unary 110
% 3.91/1.28 % binary 32
% 3.91/1.28 % lits 508
% 3.91/1.28 % lits eq 440
% 3.91/1.28 % fd_pure 0
% 3.91/1.28 % fd_pseudo 0
% 3.91/1.28 % fd_cond 0
% 3.91/1.28 % fd_pseudo_cond 0
% 3.91/1.28 % AC symbols 0
% 3.91/1.28
% 3.91/1.28 % ------ Schedule dynamic 5 is on
% 3.91/1.28
% 3.91/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/1.28
% 3.91/1.28
% 3.91/1.28 % ------
% 3.91/1.28 % Current options:
% 3.91/1.28 % ------
% 3.91/1.28
% 3.91/1.28
% 3.91/1.28 %
% 3.91/1.28
% 3.91/1.28 % ------ Proving...
% 3.91/1.28 %
% 3.91/1.28
% 3.91/1.28 % SZS status Theorem for theBenchmark.p
% 3.91/1.28
% 3.91/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.30
% 3.91/1.30
%------------------------------------------------------------------------------