%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 : Tue Sep 29 09:21:02 AM UTC 2026
% Result : Theorem 0.92s 0.43s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 242
% Syntax : Number of formulae : 1507 ( 182 unt; 235 def)
% Number of atoms : 4830 (1975 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 5606 (2283 ~;2442 |; 694 &)
% ( 187 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 237 ( 235 usr; 236 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24 )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f59,plain,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP47 ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP46 ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP45 ),
inference(nnf_transformation,[],[f55]) ).
fof(f62,plain,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP44 ),
inference(nnf_transformation,[],[f54]) ).
fof(f63,plain,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP43 ),
inference(nnf_transformation,[],[f53]) ).
fof(f64,plain,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP42 ),
inference(nnf_transformation,[],[f52]) ).
fof(f65,plain,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP41 ),
inference(nnf_transformation,[],[f51]) ).
fof(f66,plain,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP40 ),
inference(nnf_transformation,[],[f50]) ).
fof(f67,plain,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP39 ),
inference(nnf_transformation,[],[f49]) ).
fof(f68,plain,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f69,plain,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP37 ),
inference(nnf_transformation,[],[f47]) ).
fof(f70,plain,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP36 ),
inference(nnf_transformation,[],[f46]) ).
fof(f71,plain,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP35 ),
inference(nnf_transformation,[],[f45]) ).
fof(f72,plain,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f73,plain,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f74,plain,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f75,plain,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f76,plain,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f77,plain,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f78,plain,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f79,plain,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f80,plain,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f81,plain,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f82,plain,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f83,plain,
( ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f84,plain,
( ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f85,plain,
( ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f86,plain,
( ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f87,plain,
( ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f88,plain,
( ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f89,plain,
( ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f90,plain,
( ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f91,plain,
( ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f92,plain,
( ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f93,plain,
( ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f94,plain,
( ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f95,plain,
( ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f96,plain,
( ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f97,plain,
( ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f98,plain,
( ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f99,plain,
( ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f100,plain,
( ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f101,plain,
( ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f102,plain,
( ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f103,plain,
( ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f104,plain,
( ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f105,plain,
( ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f106,plain,
( ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f109,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
( e0 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
( e0 = op(e2,e4)
| e1 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
( e0 = op(e0,e4)
| e1 = op(e0,e4)
| e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f132,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
( e3 = op(e0,e4)
| e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e3,e4)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
( e0 = op(e4,e0)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
( e4 = op(e0,e3)
| e4 = op(e1,e3)
| e4 = op(e2,e3)
| e4 = op(e3,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
( e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
( e4 = op(e2,e0)
| e4 = op(e2,e1)
| e4 = op(e2,e2)
| e4 = op(e2,e3)
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e4 = op(e0,e1)
| e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e3,e1)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f177,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1)
| e2 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
( e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
( op(e0,e0) = e4
| e4 = op(e1,e0)
| e4 = op(e2,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
( op(e0,e0) = e4
| e4 = op(e0,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e3)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f186,plain,
( op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f188,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f193,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f227,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f248,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f249,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f256,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f257,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f258,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f263,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f266,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f269,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f273,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f275,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f276,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f279,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f280,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f281,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f282,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f283,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f284,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f287,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f289,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f290,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f293,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f294,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f295,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f296,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f297,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f298,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f299,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f301,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f303,plain,
e3 = op(e4,op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f304,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
e0 = op(op(e4,e4),e4),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
( e0 = op(e1,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f59]) ).
fof(f310,plain,
( e0 != op(e0,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f60]) ).
fof(f312,plain,
( op(e0,e0) = e2
| ~ sP46 ),
inference(cnf_transformation,[],[f60]) ).
fof(f314,plain,
( e0 = op(e3,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f61]) ).
fof(f315,plain,
( op(e0,e0) = e3
| ~ sP45 ),
inference(cnf_transformation,[],[f61]) ).
fof(f317,plain,
( e0 = op(e4,e4)
| ~ sP44 ),
inference(cnf_transformation,[],[f62]) ).
fof(f321,plain,
( e0 = op(e1,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f63]) ).
fof(f322,plain,
( e1 != op(e1,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f64]) ).
fof(f324,plain,
( e1 = op(e1,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f64]) ).
fof(f325,plain,
( e1 != op(e1,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f65]) ).
fof(f326,plain,
( e1 = op(e2,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f65]) ).
fof(f330,plain,
( e3 = op(e1,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( e4 = op(e1,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f67]) ).
fof(f334,plain,
( e2 != op(e2,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f68]) ).
fof(f336,plain,
( e0 = op(e2,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f68]) ).
fof(f339,plain,
( e1 = op(e2,e2)
| ~ sP37 ),
inference(cnf_transformation,[],[f69]) ).
fof(f340,plain,
( e2 != op(e2,e2)
| ~ sP36 ),
inference(cnf_transformation,[],[f70]) ).
fof(f342,plain,
( e2 = op(e2,e2)
| ~ sP36 ),
inference(cnf_transformation,[],[f70]) ).
fof(f344,plain,
( e2 = op(e3,e3)
| ~ sP35 ),
inference(cnf_transformation,[],[f71]) ).
fof(f347,plain,
( e2 = op(e4,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f72]) ).
fof(f349,plain,
( e3 != op(e3,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f73]) ).
fof(f351,plain,
( e0 = op(e3,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f73]) ).
fof(f353,plain,
( e3 = op(e1,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f74]) ).
fof(f357,plain,
( e2 = op(e3,e3)
| ~ sP31 ),
inference(cnf_transformation,[],[f75]) ).
fof(f358,plain,
( e3 != op(e3,e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f76]) ).
fof(f360,plain,
( e3 = op(e3,e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f76]) ).
fof(f362,plain,
( e3 = op(e4,e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f77]) ).
fof(f366,plain,
( e0 = op(e4,e4)
| ~ sP28 ),
inference(cnf_transformation,[],[f78]) ).
fof(f368,plain,
( e4 = op(e1,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f79]) ).
fof(f372,plain,
( e2 = op(e4,e4)
| ~ sP26 ),
inference(cnf_transformation,[],[f80]) ).
fof(f375,plain,
( e3 = op(e4,e4)
| ~ sP25 ),
inference(cnf_transformation,[],[f81]) ).
fof(f378,plain,
( e4 = op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f82]) ).
fof(f380,plain,
( e0 = op(op(e0,e1),e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f83]) ).
fof(f381,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f83]) ).
fof(f384,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f84]) ).
fof(f386,plain,
( e0 = op(op(e0,e3),e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f85]) ).
fof(f387,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f85]) ).
fof(f389,plain,
( e0 = op(op(e0,e4),e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f86]) ).
fof(f390,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f86]) ).
fof(f391,plain,
( e0 != op(op(e1,e0),e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f87]) ).
fof(f393,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f87]) ).
fof(f396,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f88]) ).
fof(f398,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f89]) ).
fof(f399,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f89]) ).
fof(f400,plain,
( e3 != op(op(e1,e3),e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f90]) ).
fof(f401,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f90]) ).
fof(f404,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f91]) ).
fof(f408,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f92]) ).
fof(f410,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f93]) ).
fof(f411,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f93]) ).
fof(f414,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f94]) ).
fof(f416,plain,
( e2 = op(op(e2,e3),e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f95]) ).
fof(f417,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f95]) ).
fof(f418,plain,
( e4 != op(op(e2,e4),e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f96]) ).
fof(f420,plain,
( op(e2,e4) != op(e4,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f96]) ).
fof(f421,plain,
( e0 != op(op(e3,e0),e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f97]) ).
fof(f423,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f97]) ).
fof(f425,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f98]) ).
fof(f427,plain,
( e2 != op(op(e3,e2),e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f99]) ).
fof(f429,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f99]) ).
fof(f432,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f100]) ).
fof(f434,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f101]) ).
fof(f435,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f101]) ).
fof(f437,plain,
( e4 = op(op(e4,e0),e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f438,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f440,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f103]) ).
fof(f443,plain,
( e4 = op(op(e4,e2),e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f444,plain,
( op(e2,e4) != op(e4,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f445,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f447,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f450,plain,
( op(e4,e4) != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f106]) ).
fof(f453,plain,
( op(e0,e0) != op(e0,e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f454,plain,
( e0 != op(e0,e0)
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24 ),
inference(cnf_transformation,[],[f58]) ).
fof(f456,plain,
( e0 = op(e0,e0)
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24 ),
inference(cnf_transformation,[],[f58]) ).
fof(f457,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f458,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f450]) ).
fof(f459,plain,
~ sP6,
inference(trivial_inequality_removal,[],[f432]) ).
fof(f460,plain,
~ sP12,
inference(trivial_inequality_removal,[],[f414]) ).
fof(f461,plain,
~ sP18,
inference(trivial_inequality_removal,[],[f396]) ).
fof(f463,definition,
( spl48_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl48_1])],[avatar_definition]) ).
fof(f467,definition,
( spl48_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl48_2])],[avatar_definition]) ).
fof(f471,definition,
( spl48_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl48_3])],[avatar_definition]) ).
fof(f475,definition,
( spl48_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl48_4])],[avatar_definition]) ).
fof(f479,definition,
( spl48_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl48_5])],[avatar_definition]) ).
fof(f483,definition,
( spl48_6
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl48_6])],[avatar_definition]) ).
fof(f487,definition,
( spl48_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl48_7])],[avatar_definition]) ).
fof(f491,definition,
( spl48_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl48_8])],[avatar_definition]) ).
fof(f495,definition,
( spl48_9
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl48_9])],[avatar_definition]) ).
fof(f499,definition,
( spl48_10
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl48_10])],[avatar_definition]) ).
fof(f503,definition,
( spl48_11
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl48_11])],[avatar_definition]) ).
fof(f507,definition,
( spl48_12
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl48_12])],[avatar_definition]) ).
fof(f511,definition,
( spl48_13
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl48_13])],[avatar_definition]) ).
fof(f515,definition,
( spl48_14
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl48_14])],[avatar_definition]) ).
fof(f519,definition,
( spl48_15
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl48_15])],[avatar_definition]) ).
fof(f523,definition,
( spl48_16
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl48_16])],[avatar_definition]) ).
fof(f527,definition,
( spl48_17
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl48_17])],[avatar_definition]) ).
fof(f531,definition,
( spl48_18
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl48_18])],[avatar_definition]) ).
fof(f535,definition,
( spl48_19
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl48_19])],[avatar_definition]) ).
fof(f539,definition,
( spl48_20
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl48_20])],[avatar_definition]) ).
fof(f543,definition,
( spl48_21
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl48_21])],[avatar_definition]) ).
fof(f547,definition,
( spl48_22
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl48_22])],[avatar_definition]) ).
fof(f551,definition,
( spl48_23
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl48_23])],[avatar_definition]) ).
fof(f555,definition,
( spl48_24
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl48_24])],[avatar_definition]) ).
fof(f564,plain,
( spl48_1
| spl48_2
| spl48_3
| spl48_4
| spl48_5
| spl48_6
| spl48_7
| spl48_8
| spl48_9
| spl48_10
| spl48_11
| spl48_12
| spl48_13
| spl48_14
| spl48_15
| spl48_16
| spl48_17
| spl48_18
| spl48_19
| spl48_20
| spl48_21
| spl48_22
| spl48_23
| spl48_24 ),
inference(avatar_split_clause,[],[f457,f555,f551,f547,f543,f539,f535,f531,f527,f523,f519,f515,f511,f507,f503,f499,f495,f491,f487,f483,f479,f475,f471,f467,f463]) ).
fof(f566,definition,
( spl48_26
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl48_26])],[avatar_definition]) ).
fof(f570,definition,
( spl48_27
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl48_27])],[avatar_definition]) ).
fof(f574,definition,
( spl48_28
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl48_28])],[avatar_definition]) ).
fof(f578,definition,
( spl48_29
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl48_29])],[avatar_definition]) ).
fof(f582,definition,
( spl48_30
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl48_30])],[avatar_definition]) ).
fof(f586,definition,
( spl48_31
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl48_31])],[avatar_definition]) ).
fof(f590,definition,
( spl48_32
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl48_32])],[avatar_definition]) ).
fof(f594,definition,
( spl48_33
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl48_33])],[avatar_definition]) ).
fof(f598,definition,
( spl48_34
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl48_34])],[avatar_definition]) ).
fof(f602,definition,
( spl48_35
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl48_35])],[avatar_definition]) ).
fof(f606,definition,
( spl48_36
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl48_36])],[avatar_definition]) ).
fof(f610,definition,
( spl48_37
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl48_37])],[avatar_definition]) ).
fof(f614,definition,
( spl48_38
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl48_38])],[avatar_definition]) ).
fof(f618,definition,
( spl48_39
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl48_39])],[avatar_definition]) ).
fof(f622,definition,
( spl48_40
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl48_40])],[avatar_definition]) ).
fof(f626,definition,
( spl48_41
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl48_41])],[avatar_definition]) ).
fof(f630,definition,
( spl48_42
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl48_42])],[avatar_definition]) ).
fof(f634,definition,
( spl48_43
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl48_43])],[avatar_definition]) ).
fof(f638,definition,
( spl48_44
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl48_44])],[avatar_definition]) ).
fof(f642,definition,
( spl48_45
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl48_45])],[avatar_definition]) ).
fof(f646,definition,
( spl48_46
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl48_46])],[avatar_definition]) ).
fof(f650,definition,
( spl48_47
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl48_47])],[avatar_definition]) ).
fof(f654,definition,
( spl48_48
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl48_48])],[avatar_definition]) ).
fof(f658,definition,
( spl48_49
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl48_49])],[avatar_definition]) ).
fof(f662,definition,
( spl48_50
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl48_50])],[avatar_definition]) ).
fof(f663,plain,
( e0 = op(e0,e0)
| ~ spl48_50 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl48_26
| spl48_27
| spl48_28
| spl48_29
| spl48_30
| spl48_31
| spl48_32
| spl48_33
| spl48_34
| spl48_35
| spl48_36
| spl48_37
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_42
| spl48_43
| spl48_44
| spl48_45
| spl48_46
| spl48_47
| spl48_48
| spl48_49
| ~ spl48_50 ),
inference(avatar_split_clause,[],[f454,f662,f658,f654,f650,f646,f642,f638,f634,f630,f626,f622,f618,f614,f610,f606,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566]) ).
fof(f667,plain,
( spl48_26
| spl48_27
| spl48_28
| spl48_29
| spl48_30
| spl48_31
| spl48_32
| spl48_33
| spl48_34
| spl48_35
| spl48_36
| spl48_37
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_42
| spl48_43
| spl48_44
| spl48_45
| spl48_46
| spl48_47
| spl48_48
| spl48_49
| spl48_50 ),
inference(avatar_split_clause,[],[f456,f662,f658,f654,f650,f646,f642,f638,f634,f630,f626,f622,f618,f614,f610,f606,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566]) ).
fof(f674,plain,
~ spl48_1,
inference(avatar_split_clause,[],[f458,f463]) ).
fof(f676,definition,
( spl48_52
<=> e3 = op(op(e4,e3),e4) ),
introduced(definition,[new_symbols(definition,[spl48_52])],[avatar_definition]) ).
fof(f678,plain,
( e3 != op(op(e4,e3),e4)
| spl48_52 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f679,plain,
( ~ spl48_2
| ~ spl48_52 ),
inference(avatar_split_clause,[],[f445,f676,f467]) ).
fof(f686,definition,
( spl48_54
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl48_54])],[avatar_definition]) ).
fof(f688,plain,
( op(e3,e4) != op(e4,e3)
| spl48_54 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f689,plain,
( ~ spl48_2
| ~ spl48_54 ),
inference(avatar_split_clause,[],[f447,f686,f467]) ).
fof(f696,definition,
( spl48_56
<=> e4 = op(op(e4,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl48_56])],[avatar_definition]) ).
fof(f698,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl48_56 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( ~ spl48_3
| spl48_56 ),
inference(avatar_split_clause,[],[f443,f696,f471]) ).
fof(f701,definition,
( spl48_57
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_57])],[avatar_definition]) ).
fof(f703,plain,
( op(e2,e4) != op(e4,e2)
| spl48_57 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f704,plain,
( ~ spl48_3
| ~ spl48_57 ),
inference(avatar_split_clause,[],[f444,f701,f471]) ).
fof(f711,definition,
( spl48_59
<=> e4 = op(op(e4,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl48_59])],[avatar_definition]) ).
fof(f713,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl48_59 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f714,plain,
( ~ spl48_4
| spl48_59 ),
inference(avatar_split_clause,[],[f440,f711,f475]) ).
fof(f726,definition,
( spl48_62
<=> e4 = op(op(e4,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl48_62])],[avatar_definition]) ).
fof(f728,plain,
( e4 = op(op(e4,e0),e0)
| ~ spl48_62 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( ~ spl48_5
| spl48_62 ),
inference(avatar_split_clause,[],[f437,f726,f479]) ).
fof(f731,definition,
( spl48_63
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_63])],[avatar_definition]) ).
fof(f733,plain,
( op(e0,e4) != op(e4,e0)
| spl48_63 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( ~ spl48_5
| ~ spl48_63 ),
inference(avatar_split_clause,[],[f438,f731,f479]) ).
fof(f741,definition,
( spl48_65
<=> e3 = op(op(e3,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl48_65])],[avatar_definition]) ).
fof(f743,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl48_65 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f744,plain,
( ~ spl48_6
| spl48_65 ),
inference(avatar_split_clause,[],[f434,f741,f483]) ).
fof(f745,plain,
( ~ spl48_6
| ~ spl48_54 ),
inference(avatar_split_clause,[],[f435,f686,f483]) ).
fof(f752,plain,
~ spl48_7,
inference(avatar_split_clause,[],[f459,f487]) ).
fof(f754,definition,
( spl48_67
<=> e2 = op(op(e3,e2),e3) ),
introduced(definition,[new_symbols(definition,[spl48_67])],[avatar_definition]) ).
fof(f756,plain,
( e2 != op(op(e3,e2),e3)
| spl48_67 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f757,plain,
( ~ spl48_8
| ~ spl48_67 ),
inference(avatar_split_clause,[],[f427,f754,f491]) ).
fof(f764,definition,
( spl48_69
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_69])],[avatar_definition]) ).
fof(f766,plain,
( op(e2,e3) != op(e3,e2)
| spl48_69 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f767,plain,
( ~ spl48_8
| ~ spl48_69 ),
inference(avatar_split_clause,[],[f429,f764,f491]) ).
fof(f774,definition,
( spl48_71
<=> e3 = op(op(e3,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl48_71])],[avatar_definition]) ).
fof(f776,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl48_71 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f777,plain,
( ~ spl48_9
| spl48_71 ),
inference(avatar_split_clause,[],[f425,f774,f495]) ).
fof(f784,definition,
( spl48_73
<=> e0 = op(op(e3,e0),e3) ),
introduced(definition,[new_symbols(definition,[spl48_73])],[avatar_definition]) ).
fof(f786,plain,
( e0 != op(op(e3,e0),e3)
| spl48_73 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f787,plain,
( ~ spl48_10
| ~ spl48_73 ),
inference(avatar_split_clause,[],[f421,f784,f499]) ).
fof(f794,definition,
( spl48_75
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl48_75])],[avatar_definition]) ).
fof(f796,plain,
( op(e0,e3) != op(e3,e0)
| spl48_75 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f797,plain,
( ~ spl48_10
| ~ spl48_75 ),
inference(avatar_split_clause,[],[f423,f794,f499]) ).
fof(f799,definition,
( spl48_76
<=> e4 = op(op(e2,e4),e2) ),
introduced(definition,[new_symbols(definition,[spl48_76])],[avatar_definition]) ).
fof(f801,plain,
( e4 != op(op(e2,e4),e2)
| spl48_76 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f802,plain,
( ~ spl48_11
| ~ spl48_76 ),
inference(avatar_split_clause,[],[f418,f799,f503]) ).
fof(f808,plain,
( ~ spl48_11
| ~ spl48_57 ),
inference(avatar_split_clause,[],[f420,f701,f503]) ).
fof(f815,definition,
( spl48_79
<=> e2 = op(op(e2,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl48_79])],[avatar_definition]) ).
fof(f817,plain,
( e2 = op(op(e2,e3),e3)
| ~ spl48_79 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f818,plain,
( ~ spl48_12
| spl48_79 ),
inference(avatar_split_clause,[],[f416,f815,f507]) ).
fof(f819,plain,
( ~ spl48_12
| ~ spl48_69 ),
inference(avatar_split_clause,[],[f417,f764,f507]) ).
fof(f826,plain,
~ spl48_13,
inference(avatar_split_clause,[],[f460,f511]) ).
fof(f833,definition,
( spl48_82
<=> e2 = op(op(e2,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl48_82])],[avatar_definition]) ).
fof(f835,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl48_82 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( ~ spl48_14
| spl48_82 ),
inference(avatar_split_clause,[],[f410,f833,f515]) ).
fof(f838,definition,
( spl48_83
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl48_83])],[avatar_definition]) ).
fof(f839,plain,
( op(e1,e2) = op(e2,e1)
| ~ spl48_83 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f840,plain,
( op(e1,e2) != op(e2,e1)
| spl48_83 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( ~ spl48_14
| ~ spl48_83 ),
inference(avatar_split_clause,[],[f411,f838,f515]) ).
fof(f853,definition,
( spl48_86
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl48_86])],[avatar_definition]) ).
fof(f855,plain,
( op(e0,e2) != op(e2,e0)
| spl48_86 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,plain,
( ~ spl48_15
| ~ spl48_86 ),
inference(avatar_split_clause,[],[f408,f853,f519]) ).
fof(f863,definition,
( spl48_88
<=> e1 = op(op(e1,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl48_88])],[avatar_definition]) ).
fof(f865,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl48_88 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f866,plain,
( ~ spl48_16
| spl48_88 ),
inference(avatar_split_clause,[],[f404,f863,f523]) ).
fof(f869,definition,
( spl48_89
<=> e3 = op(op(e1,e3),e1) ),
introduced(definition,[new_symbols(definition,[spl48_89])],[avatar_definition]) ).
fof(f871,plain,
( e3 != op(op(e1,e3),e1)
| spl48_89 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( ~ spl48_17
| ~ spl48_89 ),
inference(avatar_split_clause,[],[f400,f869,f527]) ).
fof(f874,definition,
( spl48_90
<=> e1 = op(op(e1,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl48_90])],[avatar_definition]) ).
fof(f876,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl48_90 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f877,plain,
( ~ spl48_17
| spl48_90 ),
inference(avatar_split_clause,[],[f401,f874,f527]) ).
fof(f885,definition,
( spl48_92
<=> e1 = op(op(e1,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl48_92])],[avatar_definition]) ).
fof(f887,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl48_92 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f888,plain,
( ~ spl48_18
| spl48_92 ),
inference(avatar_split_clause,[],[f398,f885,f531]) ).
fof(f889,plain,
( ~ spl48_18
| ~ spl48_83 ),
inference(avatar_split_clause,[],[f399,f838,f531]) ).
fof(f896,plain,
~ spl48_19,
inference(avatar_split_clause,[],[f461,f535]) ).
fof(f898,definition,
( spl48_94
<=> e0 = op(op(e1,e0),e1) ),
introduced(definition,[new_symbols(definition,[spl48_94])],[avatar_definition]) ).
fof(f900,plain,
( e0 != op(op(e1,e0),e1)
| spl48_94 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,plain,
( ~ spl48_20
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f391,f898,f539]) ).
fof(f908,definition,
( spl48_96
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl48_96])],[avatar_definition]) ).
fof(f910,plain,
( op(e0,e1) != op(e1,e0)
| spl48_96 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f911,plain,
( ~ spl48_20
| ~ spl48_96 ),
inference(avatar_split_clause,[],[f393,f908,f539]) ).
fof(f918,definition,
( spl48_98
<=> e0 = op(op(e0,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl48_98])],[avatar_definition]) ).
fof(f920,plain,
( e0 = op(op(e0,e4),e4)
| ~ spl48_98 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,plain,
( ~ spl48_21
| spl48_98 ),
inference(avatar_split_clause,[],[f389,f918,f543]) ).
fof(f922,plain,
( ~ spl48_21
| ~ spl48_63 ),
inference(avatar_split_clause,[],[f390,f731,f543]) ).
fof(f929,definition,
( spl48_100
<=> e0 = op(op(e0,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl48_100])],[avatar_definition]) ).
fof(f930,plain,
( e0 != op(op(e0,e3),e3)
| spl48_100 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f931,plain,
( e0 = op(op(e0,e3),e3)
| ~ spl48_100 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl48_22
| spl48_100 ),
inference(avatar_split_clause,[],[f386,f929,f547]) ).
fof(f933,plain,
( ~ spl48_22
| ~ spl48_75 ),
inference(avatar_split_clause,[],[f387,f794,f547]) ).
fof(f944,plain,
( ~ spl48_23
| ~ spl48_86 ),
inference(avatar_split_clause,[],[f384,f853,f551]) ).
fof(f951,definition,
( spl48_104
<=> e0 = op(op(e0,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl48_104])],[avatar_definition]) ).
fof(f953,plain,
( e0 = op(op(e0,e1),e1)
| ~ spl48_104 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f954,plain,
( ~ spl48_24
| spl48_104 ),
inference(avatar_split_clause,[],[f380,f951,f555]) ).
fof(f955,plain,
( ~ spl48_24
| ~ spl48_96 ),
inference(avatar_split_clause,[],[f381,f908,f555]) ).
fof(f957,definition,
( spl48_105
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl48_105])],[avatar_definition]) ).
fof(f958,plain,
( e4 = op(e4,e4)
| ~ spl48_105 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f962,plain,
( ~ spl48_26
| spl48_105 ),
inference(avatar_split_clause,[],[f378,f957,f566]) ).
fof(f964,definition,
( spl48_106
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl48_106])],[avatar_definition]) ).
fof(f965,plain,
( e4 = op(e4,e3)
| ~ spl48_106 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f969,definition,
( spl48_107
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl48_107])],[avatar_definition]) ).
fof(f971,plain,
( e4 = op(e3,e3)
| ~ spl48_107 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f974,definition,
( spl48_108
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl48_108])],[avatar_definition]) ).
fof(f976,plain,
( e3 = op(e4,e4)
| ~ spl48_108 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f977,plain,
( ~ spl48_27
| spl48_108 ),
inference(avatar_split_clause,[],[f375,f974,f570]) ).
fof(f979,definition,
( spl48_109
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_109])],[avatar_definition]) ).
fof(f980,plain,
( e4 = op(e4,e2)
| ~ spl48_109 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f984,definition,
( spl48_110
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl48_110])],[avatar_definition]) ).
fof(f986,plain,
( e4 = op(e2,e2)
| ~ spl48_110 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f989,definition,
( spl48_111
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl48_111])],[avatar_definition]) ).
fof(f991,plain,
( e2 = op(e4,e4)
| ~ spl48_111 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f992,plain,
( ~ spl48_28
| spl48_111 ),
inference(avatar_split_clause,[],[f372,f989,f574]) ).
fof(f994,definition,
( spl48_112
<=> e4 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl48_112])],[avatar_definition]) ).
fof(f995,plain,
( e4 = op(e4,e1)
| ~ spl48_112 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f999,definition,
( spl48_113
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl48_113])],[avatar_definition]) ).
fof(f1001,plain,
( e4 = op(e1,e1)
| ~ spl48_113 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1002,plain,
( ~ spl48_29
| spl48_113 ),
inference(avatar_split_clause,[],[f368,f999,f578]) ).
fof(f1004,definition,
( spl48_114
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl48_114])],[avatar_definition]) ).
fof(f1006,plain,
( e1 = op(e4,e4)
| ~ spl48_114 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1009,definition,
( spl48_115
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_115])],[avatar_definition]) ).
fof(f1010,plain,
( e4 = op(e4,e0)
| ~ spl48_115 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1014,definition,
( spl48_116
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[spl48_116])],[avatar_definition]) ).
fof(f1016,plain,
( op(e0,e0) = e4
| ~ spl48_116 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1019,definition,
( spl48_117
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl48_117])],[avatar_definition]) ).
fof(f1021,plain,
( e0 = op(e4,e4)
| ~ spl48_117 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1022,plain,
( ~ spl48_30
| spl48_117 ),
inference(avatar_split_clause,[],[f366,f1019,f582]) ).
fof(f1024,definition,
( spl48_118
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl48_118])],[avatar_definition]) ).
fof(f1025,plain,
( e3 = op(e3,e4)
| ~ spl48_118 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1028,plain,
( ~ spl48_31
| spl48_108 ),
inference(avatar_split_clause,[],[f362,f974,f586]) ).
fof(f1031,definition,
( spl48_119
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl48_119])],[avatar_definition]) ).
fof(f1032,plain,
( e3 = op(e3,e3)
| ~ spl48_119 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1034,plain,
( ~ spl48_32
| ~ spl48_119 ),
inference(avatar_split_clause,[],[f358,f1031,f590]) ).
fof(f1036,plain,
( ~ spl48_32
| spl48_119 ),
inference(avatar_split_clause,[],[f360,f1031,f590]) ).
fof(f1038,definition,
( spl48_120
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_120])],[avatar_definition]) ).
fof(f1039,plain,
( e3 = op(e3,e2)
| ~ spl48_120 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1048,definition,
( spl48_122
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl48_122])],[avatar_definition]) ).
fof(f1050,plain,
( e2 = op(e3,e3)
| ~ spl48_122 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1051,plain,
( ~ spl48_33
| spl48_122 ),
inference(avatar_split_clause,[],[f357,f1048,f594]) ).
fof(f1053,definition,
( spl48_123
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl48_123])],[avatar_definition]) ).
fof(f1058,definition,
( spl48_124
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl48_124])],[avatar_definition]) ).
fof(f1060,plain,
( e3 = op(e1,e1)
| ~ spl48_124 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1061,plain,
( ~ spl48_34
| spl48_124 ),
inference(avatar_split_clause,[],[f353,f1058,f598]) ).
fof(f1063,definition,
( spl48_125
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl48_125])],[avatar_definition]) ).
fof(f1065,plain,
( e1 = op(e3,e3)
| ~ spl48_125 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1068,definition,
( spl48_126
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl48_126])],[avatar_definition]) ).
fof(f1069,plain,
( e3 = op(e3,e0)
| ~ spl48_126 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1071,plain,
( ~ spl48_35
| ~ spl48_126 ),
inference(avatar_split_clause,[],[f349,f1068,f602]) ).
fof(f1073,definition,
( spl48_127
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl48_127])],[avatar_definition]) ).
fof(f1075,plain,
( op(e0,e0) = e3
| ~ spl48_127 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1078,definition,
( spl48_128
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl48_128])],[avatar_definition]) ).
fof(f1080,plain,
( e0 = op(e3,e3)
| ~ spl48_128 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1081,plain,
( ~ spl48_35
| spl48_128 ),
inference(avatar_split_clause,[],[f351,f1078,f602]) ).
fof(f1083,definition,
( spl48_129
<=> e2 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl48_129])],[avatar_definition]) ).
fof(f1084,plain,
( e2 = op(e2,e4)
| ~ spl48_129 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1087,plain,
( ~ spl48_36
| spl48_111 ),
inference(avatar_split_clause,[],[f347,f989,f606]) ).
fof(f1090,definition,
( spl48_130
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl48_130])],[avatar_definition]) ).
fof(f1091,plain,
( e2 = op(e2,e3)
| ~ spl48_130 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1094,plain,
( ~ spl48_37
| spl48_122 ),
inference(avatar_split_clause,[],[f344,f1048,f610]) ).
fof(f1097,definition,
( spl48_131
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl48_131])],[avatar_definition]) ).
fof(f1098,plain,
( e2 = op(e2,e2)
| ~ spl48_131 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1100,plain,
( ~ spl48_38
| ~ spl48_131 ),
inference(avatar_split_clause,[],[f340,f1097,f614]) ).
fof(f1102,plain,
( ~ spl48_38
| spl48_131 ),
inference(avatar_split_clause,[],[f342,f1097,f614]) ).
fof(f1104,definition,
( spl48_132
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl48_132])],[avatar_definition]) ).
fof(f1105,plain,
( e2 = op(e2,e1)
| ~ spl48_132 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1109,definition,
( spl48_133
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl48_133])],[avatar_definition]) ).
fof(f1111,plain,
( e2 = op(e1,e1)
| ~ spl48_133 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1114,definition,
( spl48_134
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl48_134])],[avatar_definition]) ).
fof(f1116,plain,
( e1 = op(e2,e2)
| ~ spl48_134 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1117,plain,
( ~ spl48_39
| spl48_134 ),
inference(avatar_split_clause,[],[f339,f1114,f618]) ).
fof(f1119,definition,
( spl48_135
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl48_135])],[avatar_definition]) ).
fof(f1120,plain,
( e2 = op(e2,e0)
| ~ spl48_135 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1122,plain,
( ~ spl48_40
| ~ spl48_135 ),
inference(avatar_split_clause,[],[f334,f1119,f622]) ).
fof(f1124,definition,
( spl48_136
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl48_136])],[avatar_definition]) ).
fof(f1126,plain,
( op(e0,e0) = e2
| ~ spl48_136 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1129,definition,
( spl48_137
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl48_137])],[avatar_definition]) ).
fof(f1131,plain,
( e0 = op(e2,e2)
| ~ spl48_137 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1132,plain,
( ~ spl48_40
| spl48_137 ),
inference(avatar_split_clause,[],[f336,f1129,f622]) ).
fof(f1139,plain,
( ~ spl48_41
| spl48_113 ),
inference(avatar_split_clause,[],[f333,f999,f626]) ).
fof(f1141,definition,
( spl48_139
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl48_139])],[avatar_definition]) ).
fof(f1142,plain,
( e1 = op(e1,e3)
| ~ spl48_139 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1146,plain,
( ~ spl48_42
| spl48_124 ),
inference(avatar_split_clause,[],[f330,f1058,f630]) ).
fof(f1148,definition,
( spl48_140
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl48_140])],[avatar_definition]) ).
fof(f1149,plain,
( e1 = op(e1,e2)
| ~ spl48_140 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1151,plain,
( ~ spl48_43
| ~ spl48_140 ),
inference(avatar_split_clause,[],[f325,f1148,f634]) ).
fof(f1152,plain,
( ~ spl48_43
| spl48_134 ),
inference(avatar_split_clause,[],[f326,f1114,f634]) ).
fof(f1155,definition,
( spl48_141
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl48_141])],[avatar_definition]) ).
fof(f1158,plain,
( ~ spl48_44
| ~ spl48_141 ),
inference(avatar_split_clause,[],[f322,f1155,f638]) ).
fof(f1160,plain,
( ~ spl48_44
| spl48_141 ),
inference(avatar_split_clause,[],[f324,f1155,f638]) ).
fof(f1162,definition,
( spl48_142
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl48_142])],[avatar_definition]) ).
fof(f1163,plain,
( e1 = op(e1,e0)
| ~ spl48_142 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1172,definition,
( spl48_144
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl48_144])],[avatar_definition]) ).
fof(f1174,plain,
( e0 = op(e1,e1)
| ~ spl48_144 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1175,plain,
( ~ spl48_45
| spl48_144 ),
inference(avatar_split_clause,[],[f321,f1172,f642]) ).
fof(f1177,definition,
( spl48_145
<=> e0 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl48_145])],[avatar_definition]) ).
fof(f1181,plain,
( ~ spl48_46
| spl48_117 ),
inference(avatar_split_clause,[],[f317,f1019,f646]) ).
fof(f1188,plain,
( ~ spl48_47
| spl48_128 ),
inference(avatar_split_clause,[],[f314,f1078,f650]) ).
fof(f1189,plain,
( ~ spl48_47
| spl48_127 ),
inference(avatar_split_clause,[],[f315,f1073,f650]) ).
fof(f1191,definition,
( spl48_147
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl48_147])],[avatar_definition]) ).
fof(f1192,plain,
( e0 = op(e0,e2)
| ~ spl48_147 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1194,plain,
( ~ spl48_48
| ~ spl48_147 ),
inference(avatar_split_clause,[],[f310,f1191,f654]) ).
fof(f1196,plain,
( ~ spl48_48
| spl48_136 ),
inference(avatar_split_clause,[],[f312,f1124,f654]) ).
fof(f1198,definition,
( spl48_148
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl48_148])],[avatar_definition]) ).
fof(f1199,plain,
( e0 = op(e0,e1)
| ~ spl48_148 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1202,plain,
( ~ spl48_49
| spl48_144 ),
inference(avatar_split_clause,[],[f308,f1172,f658]) ).
fof(f1204,plain,
e2 = op(e3,e4),
inference(forward_demodulation,[],[f304,f303]) ).
fof(f1205,plain,
spl48_114,
inference(avatar_split_clause,[],[f305,f1004]) ).
fof(f1207,definition,
( spl48_149
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl48_149])],[avatar_definition]) ).
fof(f1209,plain,
( e4 = op(e3,e4)
| ~ spl48_149 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1211,definition,
( spl48_150
<=> e4 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl48_150])],[avatar_definition]) ).
fof(f1213,plain,
( e4 = op(e2,e4)
| ~ spl48_150 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1219,definition,
( spl48_152
<=> e4 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl48_152])],[avatar_definition]) ).
fof(f1221,plain,
( e4 = op(e0,e4)
| ~ spl48_152 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1225,definition,
( spl48_153
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl48_153])],[avatar_definition]) ).
fof(f1227,plain,
( e3 = op(e2,e4)
| ~ spl48_153 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f1229,definition,
( spl48_154
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl48_154])],[avatar_definition]) ).
fof(f1231,plain,
( e3 = op(e1,e4)
| ~ spl48_154 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1233,definition,
( spl48_155
<=> e3 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl48_155])],[avatar_definition]) ).
fof(f1235,plain,
( e3 = op(e0,e4)
| ~ spl48_155 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1236,plain,
( spl48_108
| spl48_118
| spl48_153
| spl48_154
| spl48_155 ),
inference(avatar_split_clause,[],[f145,f1233,f1229,f1225,f1024,f974]) ).
fof(f1242,definition,
( spl48_157
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_157])],[avatar_definition]) ).
fof(f1244,plain,
( e3 = op(e4,e2)
| ~ spl48_157 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1246,definition,
( spl48_158
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl48_158])],[avatar_definition]) ).
fof(f1248,plain,
( e3 = op(e4,e1)
| ~ spl48_158 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1250,definition,
( spl48_159
<=> e3 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_159])],[avatar_definition]) ).
fof(f1252,plain,
( e3 = op(e4,e0)
| ~ spl48_159 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1255,definition,
( spl48_160
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl48_160])],[avatar_definition]) ).
fof(f1257,plain,
( e2 = op(e3,e4)
| ~ spl48_160 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1263,definition,
( spl48_162
<=> e2 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl48_162])],[avatar_definition]) ).
fof(f1265,plain,
( e2 = op(e0,e4)
| ~ spl48_162 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1268,definition,
( spl48_163
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl48_163])],[avatar_definition]) ).
fof(f1270,plain,
( e2 = op(e4,e3)
| ~ spl48_163 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1272,definition,
( spl48_164
<=> e2 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_164])],[avatar_definition]) ).
fof(f1274,plain,
( e2 = op(e4,e2)
| ~ spl48_164 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1276,definition,
( spl48_165
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl48_165])],[avatar_definition]) ).
fof(f1278,plain,
( e2 = op(e4,e1)
| ~ spl48_165 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1280,definition,
( spl48_166
<=> e2 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_166])],[avatar_definition]) ).
fof(f1282,plain,
( e2 = op(e4,e0)
| ~ spl48_166 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1283,plain,
( spl48_111
| spl48_163
| spl48_164
| spl48_165
| spl48_166 ),
inference(avatar_split_clause,[],[f148,f1280,f1276,f1272,f1268,f989]) ).
fof(f1285,definition,
( spl48_167
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl48_167])],[avatar_definition]) ).
fof(f1287,plain,
( e1 = op(e3,e4)
| ~ spl48_167 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1289,definition,
( spl48_168
<=> e1 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl48_168])],[avatar_definition]) ).
fof(f1291,plain,
( e1 = op(e2,e4)
| ~ spl48_168 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1293,definition,
( spl48_169
<=> e1 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl48_169])],[avatar_definition]) ).
fof(f1295,plain,
( e1 = op(e0,e4)
| ~ spl48_169 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1298,definition,
( spl48_170
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl48_170])],[avatar_definition]) ).
fof(f1300,plain,
( e1 = op(e4,e3)
| ~ spl48_170 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1302,definition,
( spl48_171
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_171])],[avatar_definition]) ).
fof(f1304,plain,
( e1 = op(e4,e2)
| ~ spl48_171 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1310,definition,
( spl48_173
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_173])],[avatar_definition]) ).
fof(f1315,definition,
( spl48_174
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl48_174])],[avatar_definition]) ).
fof(f1317,plain,
( e0 = op(e3,e4)
| ~ spl48_174 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1319,definition,
( spl48_175
<=> e0 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl48_175])],[avatar_definition]) ).
fof(f1321,plain,
( e0 = op(e2,e4)
| ~ spl48_175 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1323,definition,
( spl48_176
<=> e0 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl48_176])],[avatar_definition]) ).
fof(f1325,plain,
( e0 = op(e1,e4)
| ~ spl48_176 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1328,definition,
( spl48_177
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl48_177])],[avatar_definition]) ).
fof(f1330,plain,
( e0 = op(e4,e3)
| ~ spl48_177 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1332,definition,
( spl48_178
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl48_178])],[avatar_definition]) ).
fof(f1334,plain,
( e0 = op(e4,e2)
| ~ spl48_178 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1336,definition,
( spl48_179
<=> e0 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl48_179])],[avatar_definition]) ).
fof(f1338,plain,
( e0 = op(e4,e1)
| ~ spl48_179 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1340,definition,
( spl48_180
<=> e0 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl48_180])],[avatar_definition]) ).
fof(f1342,plain,
( e0 = op(e4,e0)
| ~ spl48_180 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1343,plain,
( spl48_117
| spl48_177
| spl48_178
| spl48_179
| spl48_180 ),
inference(avatar_split_clause,[],[f152,f1340,f1336,f1332,f1328,f1019]) ).
fof(f1345,definition,
( spl48_181
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl48_181])],[avatar_definition]) ).
fof(f1347,plain,
( e4 = op(e2,e3)
| ~ spl48_181 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1349,definition,
( spl48_182
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl48_182])],[avatar_definition]) ).
fof(f1351,plain,
( e4 = op(e1,e3)
| ~ spl48_182 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1353,definition,
( spl48_183
<=> e4 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl48_183])],[avatar_definition]) ).
fof(f1355,plain,
( e4 = op(e0,e3)
| ~ spl48_183 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1356,plain,
( spl48_106
| spl48_107
| spl48_181
| spl48_182
| spl48_183 ),
inference(avatar_split_clause,[],[f153,f1353,f1349,f1345,f969,f964]) ).
fof(f1358,definition,
( spl48_184
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_184])],[avatar_definition]) ).
fof(f1360,plain,
( e4 = op(e3,e2)
| ~ spl48_184 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1362,definition,
( spl48_185
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl48_185])],[avatar_definition]) ).
fof(f1364,plain,
( e4 = op(e3,e1)
| ~ spl48_185 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1366,definition,
( spl48_186
<=> e4 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl48_186])],[avatar_definition]) ).
fof(f1368,plain,
( e4 = op(e3,e0)
| ~ spl48_186 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1369,plain,
( spl48_149
| spl48_107
| spl48_184
| spl48_185
| spl48_186 ),
inference(avatar_split_clause,[],[f154,f1366,f1362,f1358,f969,f1207]) ).
fof(f1371,definition,
( spl48_187
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl48_187])],[avatar_definition]) ).
fof(f1373,plain,
( e3 = op(e2,e3)
| ~ spl48_187 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1375,definition,
( spl48_188
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl48_188])],[avatar_definition]) ).
fof(f1377,plain,
( e3 = op(e1,e3)
| ~ spl48_188 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1379,definition,
( spl48_189
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl48_189])],[avatar_definition]) ).
fof(f1381,plain,
( e3 = op(e0,e3)
| ~ spl48_189 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1383,plain,
( spl48_118
| spl48_119
| spl48_120
| spl48_123
| spl48_126 ),
inference(avatar_split_clause,[],[f156,f1068,f1053,f1038,f1031,f1024]) ).
fof(f1385,definition,
( spl48_190
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl48_190])],[avatar_definition]) ).
fof(f1387,plain,
( e2 = op(e1,e3)
| ~ spl48_190 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1389,definition,
( spl48_191
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl48_191])],[avatar_definition]) ).
fof(f1391,plain,
( e2 = op(e0,e3)
| ~ spl48_191 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1392,plain,
( spl48_163
| spl48_122
| spl48_130
| spl48_190
| spl48_191 ),
inference(avatar_split_clause,[],[f157,f1389,f1385,f1090,f1048,f1268]) ).
fof(f1394,definition,
( spl48_192
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_192])],[avatar_definition]) ).
fof(f1396,plain,
( e2 = op(e3,e2)
| ~ spl48_192 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1398,definition,
( spl48_193
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl48_193])],[avatar_definition]) ).
fof(f1400,plain,
( e2 = op(e3,e1)
| ~ spl48_193 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1407,definition,
( spl48_195
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl48_195])],[avatar_definition]) ).
fof(f1409,plain,
( e1 = op(e2,e3)
| ~ spl48_195 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1411,definition,
( spl48_196
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl48_196])],[avatar_definition]) ).
fof(f1413,plain,
( e1 = op(e0,e3)
| ~ spl48_196 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1414,plain,
( spl48_170
| spl48_125
| spl48_195
| spl48_139
| spl48_196 ),
inference(avatar_split_clause,[],[f159,f1411,f1141,f1407,f1063,f1298]) ).
fof(f1416,definition,
( spl48_197
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_197])],[avatar_definition]) ).
fof(f1418,plain,
( e1 = op(e3,e2)
| ~ spl48_197 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1420,definition,
( spl48_198
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl48_198])],[avatar_definition]) ).
fof(f1422,plain,
( e1 = op(e3,e1)
| ~ spl48_198 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1424,definition,
( spl48_199
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl48_199])],[avatar_definition]) ).
fof(f1426,plain,
( e1 = op(e3,e0)
| ~ spl48_199 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1427,plain,
( spl48_167
| spl48_125
| spl48_197
| spl48_198
| spl48_199 ),
inference(avatar_split_clause,[],[f160,f1424,f1420,f1416,f1063,f1285]) ).
fof(f1429,definition,
( spl48_200
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl48_200])],[avatar_definition]) ).
fof(f1431,plain,
( e0 = op(e2,e3)
| ~ spl48_200 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1433,definition,
( spl48_201
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl48_201])],[avatar_definition]) ).
fof(f1438,definition,
( spl48_202
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl48_202])],[avatar_definition]) ).
fof(f1442,definition,
( spl48_203
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl48_203])],[avatar_definition]) ).
fof(f1444,plain,
( e0 = op(e3,e1)
| ~ spl48_203 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1451,definition,
( spl48_205
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl48_205])],[avatar_definition]) ).
fof(f1455,definition,
( spl48_206
<=> e4 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl48_206])],[avatar_definition]) ).
fof(f1457,plain,
( e4 = op(e0,e2)
| ~ spl48_206 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1460,definition,
( spl48_207
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl48_207])],[avatar_definition]) ).
fof(f1462,plain,
( e4 = op(e2,e1)
| ~ spl48_207 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1464,definition,
( spl48_208
<=> e4 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl48_208])],[avatar_definition]) ).
fof(f1467,plain,
( spl48_150
| spl48_181
| spl48_110
| spl48_207
| spl48_208 ),
inference(avatar_split_clause,[],[f164,f1464,f1460,f984,f1345,f1211]) ).
fof(f1469,definition,
( spl48_209
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl48_209])],[avatar_definition]) ).
fof(f1471,plain,
( e3 = op(e1,e2)
| ~ spl48_209 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1473,definition,
( spl48_210
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl48_210])],[avatar_definition]) ).
fof(f1475,plain,
( e3 = op(e0,e2)
| ~ spl48_210 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1491,definition,
( spl48_214
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl48_214])],[avatar_definition]) ).
fof(f1493,plain,
( e2 = op(e0,e2)
| ~ spl48_214 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1502,definition,
( spl48_216
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl48_216])],[avatar_definition]) ).
fof(f1504,plain,
( e1 = op(e2,e1)
| ~ spl48_216 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1516,definition,
( spl48_219
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl48_219])],[avatar_definition]) ).
fof(f1518,plain,
( e0 = op(e2,e1)
| ~ spl48_219 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1520,definition,
( spl48_220
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl48_220])],[avatar_definition]) ).
fof(f1522,plain,
( e0 = op(e2,e0)
| ~ spl48_220 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1525,definition,
( spl48_221
<=> e4 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl48_221])],[avatar_definition]) ).
fof(f1527,plain,
( e4 = op(e0,e1)
| ~ spl48_221 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1528,plain,
( spl48_112
| spl48_185
| spl48_207
| spl48_113
| spl48_221 ),
inference(avatar_split_clause,[],[f173,f1525,f999,f1460,f1362,f994]) ).
fof(f1530,definition,
( spl48_222
<=> e4 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl48_222])],[avatar_definition]) ).
fof(f1532,plain,
( e4 = op(e1,e0)
| ~ spl48_222 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1535,definition,
( spl48_223
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl48_223])],[avatar_definition]) ).
fof(f1537,plain,
( e3 = op(e0,e1)
| ~ spl48_223 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1540,definition,
( spl48_224
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl48_224])],[avatar_definition]) ).
fof(f1542,plain,
( e3 = op(e1,e0)
| ~ spl48_224 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1543,plain,
( spl48_154
| spl48_188
| spl48_209
| spl48_124
| spl48_224 ),
inference(avatar_split_clause,[],[f176,f1540,f1058,f1469,f1375,f1229]) ).
fof(f1545,definition,
( spl48_225
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl48_225])],[avatar_definition]) ).
fof(f1547,plain,
( e2 = op(e0,e1)
| ~ spl48_225 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1548,plain,
( spl48_165
| spl48_193
| spl48_132
| spl48_133
| spl48_225 ),
inference(avatar_split_clause,[],[f177,f1545,f1109,f1104,f1398,f1276]) ).
fof(f1555,definition,
( spl48_227
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl48_227])],[avatar_definition]) ).
fof(f1557,plain,
( e1 = op(e0,e1)
| ~ spl48_227 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1560,plain,
( spl48_179
| spl48_203
| spl48_219
| spl48_144
| spl48_148 ),
inference(avatar_split_clause,[],[f181,f1198,f1172,f1516,f1442,f1336]) ).
fof(f1566,plain,
( spl48_115
| spl48_186
| spl48_208
| spl48_222
| spl48_116 ),
inference(avatar_split_clause,[],[f183,f1014,f1530,f1464,f1366,f1009]) ).
fof(f1567,plain,
( spl48_152
| spl48_183
| spl48_206
| spl48_221
| spl48_116 ),
inference(avatar_split_clause,[],[f184,f1014,f1525,f1455,f1353,f1219]) ).
fof(f1569,plain,
( spl48_155
| spl48_189
| spl48_210
| spl48_223
| spl48_127 ),
inference(avatar_split_clause,[],[f186,f1073,f1535,f1473,f1379,f1233]) ).
fof(f1571,plain,
( spl48_162
| spl48_191
| spl48_214
| spl48_225
| spl48_136 ),
inference(avatar_split_clause,[],[f188,f1124,f1545,f1491,f1389,f1263]) ).
fof(f1577,definition,
( spl48_229
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl48_229])],[avatar_definition]) ).
fof(f1579,plain,
( e4 = unit
| ~ spl48_229 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1581,definition,
( spl48_230
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl48_230])],[avatar_definition]) ).
fof(f1583,plain,
( e3 = unit
| ~ spl48_230 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1585,definition,
( spl48_231
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl48_231])],[avatar_definition]) ).
fof(f1587,plain,
( e2 = unit
| ~ spl48_231 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1589,definition,
( spl48_232
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl48_232])],[avatar_definition]) ).
fof(f1591,plain,
( e1 = unit
| ~ spl48_232 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1593,definition,
( spl48_233
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl48_233])],[avatar_definition]) ).
fof(f1595,plain,
( e0 = unit
| ~ spl48_233 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1596,plain,
( spl48_229
| spl48_230
| spl48_231
| spl48_232
| spl48_233 ),
inference(avatar_split_clause,[],[f132,f1593,f1589,f1585,f1581,f1577]) ).
fof(f1599,plain,
( spl48_109
| spl48_157
| spl48_164
| spl48_171
| spl48_178 ),
inference(avatar_split_clause,[],[f109,f1332,f1302,f1272,f1242,f979]) ).
fof(f1601,plain,
( spl48_115
| spl48_159
| spl48_166
| spl48_173
| spl48_180 ),
inference(avatar_split_clause,[],[f111,f1340,f1310,f1280,f1250,f1009]) ).
fof(f1604,plain,
( spl48_184
| spl48_120
| spl48_192
| spl48_197
| spl48_202 ),
inference(avatar_split_clause,[],[f114,f1438,f1416,f1394,f1038,f1358]) ).
fof(f1605,plain,
( spl48_185
| spl48_123
| spl48_193
| spl48_198
| spl48_203 ),
inference(avatar_split_clause,[],[f115,f1442,f1420,f1398,f1053,f1362]) ).
fof(f1607,plain,
( spl48_150
| spl48_153
| spl48_129
| spl48_168
| spl48_175 ),
inference(avatar_split_clause,[],[f117,f1319,f1289,f1083,f1225,f1211]) ).
fof(f1608,plain,
( spl48_181
| spl48_187
| spl48_130
| spl48_195
| spl48_200 ),
inference(avatar_split_clause,[],[f118,f1429,f1407,f1090,f1371,f1345]) ).
fof(f1613,plain,
( spl48_182
| spl48_188
| spl48_190
| spl48_139
| spl48_201 ),
inference(avatar_split_clause,[],[f123,f1433,f1141,f1385,f1375,f1349]) ).
fof(f1617,plain,
( spl48_152
| spl48_155
| spl48_162
| spl48_169
| spl48_145 ),
inference(avatar_split_clause,[],[f127,f1177,f1293,f1263,f1233,f1219]) ).
fof(f1620,plain,
( spl48_221
| spl48_223
| spl48_225
| spl48_227
| spl48_148 ),
inference(avatar_split_clause,[],[f130,f1198,f1555,f1545,f1535,f1525]) ).
fof(f1622,plain,
spl48_160,
inference(avatar_split_clause,[],[f1204,f1255]) ).
fof(f1623,plain,
( e0 != op(e0,e4)
| ~ spl48_50 ),
inference(backward_demodulation,[],[f239,f663]) ).
fof(f1627,plain,
( e0 != op(e4,e0)
| ~ spl48_50 ),
inference(backward_demodulation,[],[f289,f663]) ).
fof(f1632,plain,
( e4 != op(e4,e2)
| ~ spl48_105 ),
inference(backward_demodulation,[],[f194,f958]) ).
fof(f1634,plain,
( e4 != op(e4,e0)
| ~ spl48_105 ),
inference(backward_demodulation,[],[f199,f958]) ).
fof(f1641,plain,
( e4 != op(e4,e2)
| ~ spl48_106 ),
inference(backward_demodulation,[],[f195,f965]) ).
fof(f1653,plain,
( e4 != op(e1,e3)
| ~ spl48_107 ),
inference(backward_demodulation,[],[f257,f971]) ).
fof(f1657,plain,
( e4 != op(e4,e0)
| ~ spl48_109 ),
inference(backward_demodulation,[],[f201,f980]) ).
fof(f1660,plain,
( e4 != op(e1,e2)
| ~ spl48_109 ),
inference(backward_demodulation,[],[f266,f980]) ).
fof(f1664,plain,
( e4 != op(e2,e4)
| spl48_57
| ~ spl48_109 ),
inference(backward_demodulation,[],[f703,f980]) ).
fof(f1669,plain,
( e4 != op(e3,e2)
| ~ spl48_110 ),
inference(backward_demodulation,[],[f265,f986]) ).
fof(f1679,plain,
( e4 != op(e1,e3)
| ~ spl48_113 ),
inference(backward_demodulation,[],[f227,f1001]) ).
fof(f1684,plain,
( e4 != op(e0,e1)
| ~ spl48_113 ),
inference(backward_demodulation,[],[f282,f1001]) ).
fof(f1685,plain,
( e1 = e2
| ~ spl48_111
| ~ spl48_114 ),
inference(backward_demodulation,[],[f991,f1006]) ).
fof(f1686,plain,
( e4 != op(e3,e0)
| ~ spl48_115 ),
inference(backward_demodulation,[],[f283,f1010]) ).
fof(f1687,plain,
( e4 != op(e2,e0)
| ~ spl48_115 ),
inference(backward_demodulation,[],[f284,f1010]) ).
fof(f1690,plain,
( e0 = e1
| ~ spl48_114
| ~ spl48_117 ),
inference(backward_demodulation,[],[f1006,f1021]) ).
fof(f1691,plain,
( e3 = e4
| ~ spl48_107
| ~ spl48_119 ),
inference(backward_demodulation,[],[f971,f1032]) ).
fof(f1694,plain,
( e3 != op(e3,e0)
| ~ spl48_120 ),
inference(backward_demodulation,[],[f211,f1039]) ).
fof(f1703,plain,
( e1 = e3
| ~ spl48_119
| ~ spl48_125 ),
inference(backward_demodulation,[],[f1032,f1065]) ).
fof(f1706,plain,
( e3 != op(e1,e0)
| ~ spl48_126 ),
inference(backward_demodulation,[],[f287,f1069]) ).
fof(f1707,plain,
( e0 = e3
| ~ spl48_50
| ~ spl48_127 ),
inference(forward_demodulation,[],[f1075,f663]) ).
fof(f1708,plain,
( e0 = e1
| ~ spl48_125
| ~ spl48_128 ),
inference(backward_demodulation,[],[f1065,f1080]) ).
fof(f1712,plain,
( e2 != op(e3,e4)
| ~ spl48_129 ),
inference(backward_demodulation,[],[f245,f1084]) ).
fof(f1716,plain,
( e2 != op(e2,e0)
| ~ spl48_130 ),
inference(backward_demodulation,[],[f220,f1091]) ).
fof(f1720,plain,
( e2 != op(e2,e0)
| ~ spl48_132 ),
inference(backward_demodulation,[],[f222,f1105]) ).
fof(f1725,plain,
( e0 = e2
| ~ spl48_50
| ~ spl48_136 ),
inference(forward_demodulation,[],[f1126,f663]) ).
fof(f1732,plain,
( e1 != op(e1,e2)
| ~ spl48_139 ),
inference(backward_demodulation,[],[f225,f1142]) ).
fof(f1733,plain,
( e1 != op(e1,e0)
| ~ spl48_139 ),
inference(backward_demodulation,[],[f230,f1142]) ).
fof(f1746,plain,
( e0 != op(e0,e1)
| ~ spl48_147 ),
inference(backward_demodulation,[],[f238,f1192]) ).
fof(f1750,plain,
( e3 = op(e3,e4)
| ~ spl48_229 ),
inference(backward_demodulation,[],[f135,f1579]) ).
fof(f1775,plain,
( $false
| ~ spl48_105
| ~ spl48_115 ),
inference(forward_subsumption_resolution,[],[f1634,f1010]) ).
fof(f1776,plain,
( ~ spl48_105
| ~ spl48_115 ),
inference(avatar_contradiction_clause,[],[f1775]) ).
fof(f1779,plain,
( $false
| ~ spl48_105
| ~ spl48_109 ),
inference(forward_subsumption_resolution,[],[f1632,f980]) ).
fof(f1780,plain,
( ~ spl48_105
| ~ spl48_109 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1834,plain,
( $false
| ~ spl48_111
| ~ spl48_114 ),
inference(forward_subsumption_resolution,[],[f1685,f298]) ).
fof(f1835,plain,
( ~ spl48_111
| ~ spl48_114 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1841,plain,
( $false
| ~ spl48_114
| ~ spl48_117 ),
inference(forward_subsumption_resolution,[],[f1690,f302]) ).
fof(f1842,plain,
( ~ spl48_114
| ~ spl48_117 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1843,plain,
( $false
| ~ spl48_107
| ~ spl48_119 ),
inference(forward_subsumption_resolution,[],[f1691,f293]) ).
fof(f1844,plain,
( ~ spl48_107
| ~ spl48_119 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1861,plain,
( $false
| ~ spl48_119
| ~ spl48_125 ),
inference(forward_subsumption_resolution,[],[f1703,f297]) ).
fof(f1862,plain,
( ~ spl48_119
| ~ spl48_125 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1866,plain,
( $false
| ~ spl48_50
| ~ spl48_127 ),
inference(forward_subsumption_resolution,[],[f1707,f300]) ).
fof(f1867,plain,
( ~ spl48_50
| ~ spl48_127 ),
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1868,plain,
( $false
| ~ spl48_125
| ~ spl48_128 ),
inference(forward_subsumption_resolution,[],[f1708,f302]) ).
fof(f1869,plain,
( ~ spl48_125
| ~ spl48_128 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1872,plain,
( $false
| ~ spl48_129
| ~ spl48_160 ),
inference(forward_subsumption_resolution,[],[f1712,f1257]) ).
fof(f1873,plain,
( ~ spl48_129
| ~ spl48_160 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
fof(f1896,plain,
( $false
| ~ spl48_50
| ~ spl48_136 ),
inference(forward_subsumption_resolution,[],[f1725,f301]) ).
fof(f1897,plain,
( ~ spl48_50
| ~ spl48_136 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1933,plain,
( $false
| ~ spl48_147
| ~ spl48_148 ),
inference(forward_subsumption_resolution,[],[f1746,f1199]) ).
fof(f1934,plain,
( ~ spl48_147
| ~ spl48_148 ),
inference(avatar_contradiction_clause,[],[f1933]) ).
fof(f1939,plain,
( e2 = e3
| ~ spl48_160
| ~ spl48_229 ),
inference(forward_demodulation,[],[f1750,f1257]) ).
fof(f1944,plain,
( $false
| ~ spl48_160
| ~ spl48_229 ),
inference(forward_subsumption_resolution,[],[f1939,f295]) ).
fof(f1945,plain,
( ~ spl48_160
| ~ spl48_229 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1962,plain,
( e1 = e2
| ~ spl48_160
| ~ spl48_167 ),
inference(backward_demodulation,[],[f1257,f1287]) ).
fof(f1983,plain,
( e2 = op(e3,e2)
| ~ spl48_230 ),
inference(forward_demodulation,[],[f138,f1583]) ).
fof(f2005,plain,
( e4 != op(e1,e0)
| ~ spl48_182 ),
inference(forward_demodulation,[],[f230,f1351]) ).
fof(f2007,plain,
( $false
| ~ spl48_113
| ~ spl48_182 ),
inference(forward_subsumption_resolution,[],[f1679,f1351]) ).
fof(f2008,plain,
( ~ spl48_113
| ~ spl48_182 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2015,plain,
( e0 = e2
| ~ spl48_131
| ~ spl48_137 ),
inference(forward_demodulation,[],[f1098,f1131]) ).
fof(f2024,plain,
( e4 != op(e1,e3)
| ~ spl48_181 ),
inference(forward_demodulation,[],[f258,f1347]) ).
fof(f2039,plain,
( e4 != op(e2,e1)
| ~ spl48_185 ),
inference(forward_demodulation,[],[f275,f1364]) ).
fof(f2049,plain,
( $false
| ~ spl48_110
| ~ spl48_184 ),
inference(forward_subsumption_resolution,[],[f1669,f1360]) ).
fof(f2050,plain,
( ~ spl48_110
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2059,plain,
( e1 = e3
| ~ spl48_108
| ~ spl48_114 ),
inference(forward_demodulation,[],[f976,f1006]) ).
fof(f2083,plain,
( e1 != op(e4,e3)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f193,f1006]) ).
fof(f2084,plain,
( e1 != op(e4,e2)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f194,f1006]) ).
fof(f2086,plain,
( e1 != op(e4,e0)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f199,f1006]) ).
fof(f2088,plain,
( e1 != op(e2,e4)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f244,f1006]) ).
fof(f2090,plain,
( e1 != op(e0,e4)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f249,f1006]) ).
fof(f2091,plain,
( e3 = op(e4,e1)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f303,f1006]) ).
fof(f2092,plain,
( e0 = op(e1,e4)
| ~ spl48_114 ),
inference(forward_demodulation,[],[f306,f1006]) ).
fof(f2103,plain,
( e2 = e3
| ~ spl48_127
| ~ spl48_136 ),
inference(backward_demodulation,[],[f1075,f1126]) ).
fof(f2105,plain,
( $false
| ~ spl48_160
| ~ spl48_167 ),
inference(forward_subsumption_resolution,[],[f1962,f298]) ).
fof(f2106,plain,
( ~ spl48_160
| ~ spl48_167 ),
inference(avatar_contradiction_clause,[],[f2105]) ).
fof(f2124,plain,
( spl48_192
| ~ spl48_230 ),
inference(avatar_split_clause,[],[f1983,f1581,f1394]) ).
fof(f2154,plain,
( $false
| ~ spl48_131
| ~ spl48_137 ),
inference(forward_subsumption_resolution,[],[f2015,f301]) ).
fof(f2155,plain,
( ~ spl48_131
| ~ spl48_137 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2161,plain,
( $false
| ~ spl48_181
| ~ spl48_182 ),
inference(forward_subsumption_resolution,[],[f2024,f1351]) ).
fof(f2162,plain,
( ~ spl48_181
| ~ spl48_182 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2177,plain,
( $false
| ~ spl48_185
| ~ spl48_207 ),
inference(forward_subsumption_resolution,[],[f2039,f1462]) ).
fof(f2178,plain,
( ~ spl48_185
| ~ spl48_207 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2195,plain,
( $false
| ~ spl48_108
| ~ spl48_114 ),
inference(forward_subsumption_resolution,[],[f2059,f297]) ).
fof(f2196,plain,
( ~ spl48_108
| ~ spl48_114 ),
inference(avatar_contradiction_clause,[],[f2195]) ).
fof(f2224,plain,
( $false
| ~ spl48_114
| ~ spl48_170 ),
inference(forward_subsumption_resolution,[],[f2083,f1300]) ).
fof(f2225,plain,
( ~ spl48_114
| ~ spl48_170 ),
inference(avatar_contradiction_clause,[],[f2224]) ).
fof(f2226,plain,
( $false
| ~ spl48_114
| ~ spl48_171 ),
inference(forward_subsumption_resolution,[],[f2084,f1304]) ).
fof(f2227,plain,
( ~ spl48_114
| ~ spl48_171 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2232,plain,
( $false
| ~ spl48_114
| ~ spl48_168 ),
inference(forward_subsumption_resolution,[],[f2088,f1291]) ).
fof(f2233,plain,
( ~ spl48_114
| ~ spl48_168 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2237,plain,
( spl48_176
| ~ spl48_114 ),
inference(avatar_split_clause,[],[f2092,f1004,f1323]) ).
fof(f2249,plain,
( $false
| ~ spl48_127
| ~ spl48_136 ),
inference(forward_subsumption_resolution,[],[f2103,f295]) ).
fof(f2250,plain,
( ~ spl48_127
| ~ spl48_136 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2263,plain,
( ~ spl48_109
| ~ spl48_106 ),
inference(avatar_split_clause,[],[f1641,f964,f979]) ).
fof(f2286,plain,
( ~ spl48_135
| ~ spl48_130 ),
inference(avatar_split_clause,[],[f1716,f1090,f1119]) ).
fof(f2295,plain,
( ~ spl48_140
| ~ spl48_139 ),
inference(avatar_split_clause,[],[f1732,f1141,f1148]) ).
fof(f2296,plain,
( ~ spl48_142
| ~ spl48_139 ),
inference(avatar_split_clause,[],[f1733,f1141,f1162]) ).
fof(f2328,plain,
( e1 != op(e2,e1)
| ~ spl48_198 ),
inference(forward_demodulation,[],[f275,f1422]) ).
fof(f2329,plain,
( e1 != op(e0,e1)
| ~ spl48_198 ),
inference(forward_demodulation,[],[f280,f1422]) ).
fof(f2357,plain,
( e2 = e3
| ~ spl48_114
| ~ spl48_165 ),
inference(forward_demodulation,[],[f2091,f1278]) ).
fof(f2361,plain,
( e0 != op(e3,e2)
| ~ spl48_178 ),
inference(forward_demodulation,[],[f263,f1334]) ).
fof(f2375,plain,
( e2 != op(e1,e3)
| ~ spl48_163 ),
inference(forward_demodulation,[],[f256,f1270]) ).
fof(f2383,plain,
( e0 != op(e1,e4)
| ~ spl48_175 ),
inference(forward_demodulation,[],[f248,f1321]) ).
fof(f2386,plain,
( e2 = e4
| ~ spl48_149
| ~ spl48_160 ),
inference(backward_demodulation,[],[f1209,f1257]) ).
fof(f2394,plain,
( op(e0,e0) != e4
| ~ spl48_221 ),
inference(forward_demodulation,[],[f242,f1527]) ).
fof(f2401,plain,
( $false
| ~ spl48_182
| ~ spl48_222 ),
inference(forward_subsumption_resolution,[],[f2005,f1532]) ).
fof(f2402,plain,
( ~ spl48_182
| ~ spl48_222 ),
inference(avatar_contradiction_clause,[],[f2401]) ).
fof(f2423,plain,
( e0 != op(e1,e1)
| ~ spl48_176 ),
inference(forward_demodulation,[],[f226,f1325]) ).
fof(f2431,plain,
( e2 != op(e2,e2)
| ~ spl48_130 ),
inference(forward_demodulation,[],[f215,f1091]) ).
fof(f2481,plain,
( $false
| ~ spl48_114
| ~ spl48_165 ),
inference(forward_subsumption_resolution,[],[f2357,f295]) ).
fof(f2482,plain,
( ~ spl48_114
| ~ spl48_165 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2514,plain,
( $false
| ~ spl48_175
| ~ spl48_176 ),
inference(forward_subsumption_resolution,[],[f2383,f1325]) ).
fof(f2515,plain,
( ~ spl48_175
| ~ spl48_176 ),
inference(avatar_contradiction_clause,[],[f2514]) ).
fof(f2517,plain,
( $false
| ~ spl48_149
| ~ spl48_160 ),
inference(forward_subsumption_resolution,[],[f2386,f294]) ).
fof(f2518,plain,
( ~ spl48_149
| ~ spl48_160 ),
inference(avatar_contradiction_clause,[],[f2517]) ).
fof(f2540,plain,
( $false
| ~ spl48_144
| ~ spl48_176 ),
inference(forward_subsumption_resolution,[],[f2423,f1174]) ).
fof(f2541,plain,
( ~ spl48_144
| ~ spl48_176 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2556,plain,
( ~ spl48_115
| ~ spl48_109 ),
inference(avatar_split_clause,[],[f1657,f979,f1009]) ).
fof(f2562,plain,
( ~ spl48_150
| spl48_57
| ~ spl48_109 ),
inference(avatar_split_clause,[],[f1664,f979,f701,f1211]) ).
fof(f2563,plain,
( e2 = e3
| ~ spl48_118
| ~ spl48_160 ),
inference(forward_demodulation,[],[f1025,f1257]) ).
fof(f2587,plain,
( e4 = op(e1,e4)
| ~ spl48_232 ),
inference(forward_demodulation,[],[f134,f1591]) ).
fof(f2622,plain,
( ~ spl48_173
| ~ spl48_114 ),
inference(avatar_split_clause,[],[f2086,f1004,f1310]) ).
fof(f2630,plain,
( e3 != op(e4,e1)
| ~ spl48_157 ),
inference(forward_demodulation,[],[f198,f1244]) ).
fof(f2641,plain,
( e3 = e4
| ~ spl48_150
| ~ spl48_153 ),
inference(backward_demodulation,[],[f1213,f1227]) ).
fof(f2642,plain,
( e3 != op(e2,e3)
| ~ spl48_153 ),
inference(forward_demodulation,[],[f213,f1227]) ).
fof(f2657,plain,
( e0 = e3
| ~ spl48_114
| ~ spl48_179 ),
inference(forward_demodulation,[],[f2091,f1338]) ).
fof(f2670,plain,
( e0 != op(e1,e3)
| ~ spl48_176 ),
inference(forward_demodulation,[],[f223,f1325]) ).
fof(f2677,plain,
( e2 != op(e0,e4)
| ~ spl48_160 ),
inference(forward_demodulation,[],[f250,f1257]) ).
fof(f2680,plain,
( e2 != op(e3,e1)
| ~ spl48_160 ),
inference(forward_demodulation,[],[f206,f1257]) ).
fof(f2681,plain,
( e2 != op(e3,e2)
| ~ spl48_160 ),
inference(forward_demodulation,[],[f204,f1257]) ).
fof(f2682,plain,
( e2 != op(e3,e3)
| ~ spl48_160 ),
inference(forward_demodulation,[],[f203,f1257]) ).
fof(f2706,plain,
( $false
| ~ spl48_118
| ~ spl48_160 ),
inference(forward_subsumption_resolution,[],[f2563,f295]) ).
fof(f2707,plain,
( ~ spl48_118
| ~ spl48_160 ),
inference(avatar_contradiction_clause,[],[f2706]) ).
fof(f2717,plain,
( e0 = e4
| ~ spl48_176
| ~ spl48_232 ),
inference(forward_demodulation,[],[f2587,f1325]) ).
fof(f2755,plain,
( $false
| ~ spl48_150
| ~ spl48_153 ),
inference(forward_subsumption_resolution,[],[f2641,f293]) ).
fof(f2756,plain,
( ~ spl48_150
| ~ spl48_153 ),
inference(avatar_contradiction_clause,[],[f2755]) ).
fof(f2772,plain,
( $false
| ~ spl48_114
| ~ spl48_179 ),
inference(forward_subsumption_resolution,[],[f2657,f300]) ).
fof(f2773,plain,
( ~ spl48_114
| ~ spl48_179 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2786,plain,
( $false
| ~ spl48_160
| ~ spl48_162 ),
inference(forward_subsumption_resolution,[],[f2677,f1265]) ).
fof(f2787,plain,
( ~ spl48_160
| ~ spl48_162 ),
inference(avatar_contradiction_clause,[],[f2786]) ).
fof(f2792,plain,
( $false
| ~ spl48_122
| ~ spl48_160 ),
inference(forward_subsumption_resolution,[],[f2682,f1050]) ).
fof(f2793,plain,
( ~ spl48_122
| ~ spl48_160 ),
inference(avatar_contradiction_clause,[],[f2792]) ).
fof(f2806,plain,
( $false
| ~ spl48_176
| ~ spl48_232 ),
inference(forward_subsumption_resolution,[],[f2717,f299]) ).
fof(f2807,plain,
( ~ spl48_176
| ~ spl48_232 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2814,plain,
( e2 != op(e4,e3)
| spl48_54
| ~ spl48_160 ),
inference(forward_demodulation,[],[f688,f1257]) ).
fof(f2840,plain,
( e3 != op(e0,e4)
| spl48_52
| ~ spl48_177 ),
inference(backward_demodulation,[],[f678,f1330]) ).
fof(f2848,plain,
( e0 = e1
| ~ spl48_198
| ~ spl48_203 ),
inference(backward_demodulation,[],[f1422,f1444]) ).
fof(f2858,plain,
( e4 = op(e4,e0)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f133,f1595]) ).
fof(f2859,plain,
( e4 = op(e0,e4)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f134,f1595]) ).
fof(f2860,plain,
( e3 = op(e3,e0)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f135,f1595]) ).
fof(f2862,plain,
( e2 = op(e2,e0)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f137,f1595]) ).
fof(f2864,plain,
( e1 = op(e1,e0)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f139,f1595]) ).
fof(f2865,plain,
( e1 = op(e0,e1)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f140,f1595]) ).
fof(f2866,plain,
( e0 = op(e0,e0)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f141,f1595]) ).
fof(f2871,plain,
( e1 != op(e0,e1)
| ~ spl48_216 ),
inference(forward_demodulation,[],[f281,f1504]) ).
fof(f2874,plain,
( $false
| ~ spl48_198
| ~ spl48_216 ),
inference(forward_subsumption_resolution,[],[f2328,f1504]) ).
fof(f2875,plain,
( ~ spl48_198
| ~ spl48_216 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2879,plain,
( e2 != op(e0,e1)
| ~ spl48_214 ),
inference(forward_demodulation,[],[f238,f1493]) ).
fof(f2901,plain,
( e3 = e4
| ~ spl48_112
| ~ spl48_158 ),
inference(backward_demodulation,[],[f995,f1248]) ).
fof(f2903,plain,
( e3 != op(e3,e1)
| ~ spl48_158 ),
inference(forward_demodulation,[],[f273,f1248]) ).
fof(f2905,plain,
( e3 != op(e1,e1)
| ~ spl48_158 ),
inference(forward_demodulation,[],[f276,f1248]) ).
fof(f2908,plain,
( $false
| ~ spl48_157
| ~ spl48_158 ),
inference(forward_subsumption_resolution,[],[f2630,f1248]) ).
fof(f2909,plain,
( ~ spl48_157
| ~ spl48_158 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2932,plain,
( e4 != op(e2,e3)
| ~ spl48_150 ),
inference(forward_demodulation,[],[f213,f1213]) ).
fof(f2934,plain,
( e4 != op(e2,e0)
| ~ spl48_150 ),
inference(forward_demodulation,[],[f219,f1213]) ).
fof(f2936,plain,
( e4 != op(e0,e4)
| ~ spl48_150 ),
inference(forward_demodulation,[],[f251,f1213]) ).
fof(f2959,plain,
( e1 = e4
| ~ spl48_107
| ~ spl48_125 ),
inference(forward_demodulation,[],[f971,f1065]) ).
fof(f2964,plain,
( $false
| spl48_52
| ~ spl48_155
| ~ spl48_177 ),
inference(forward_subsumption_resolution,[],[f2840,f1235]) ).
fof(f2965,plain,
( spl48_52
| ~ spl48_155
| ~ spl48_177 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
fof(f2975,plain,
( $false
| ~ spl48_198
| ~ spl48_203 ),
inference(forward_subsumption_resolution,[],[f2848,f302]) ).
fof(f2976,plain,
( ~ spl48_198
| ~ spl48_203 ),
inference(avatar_contradiction_clause,[],[f2975]) ).
fof(f2977,plain,
( e2 = e4
| ~ spl48_166
| ~ spl48_233 ),
inference(forward_demodulation,[],[f2858,f1282]) ).
fof(f2978,plain,
( e3 = e4
| ~ spl48_155
| ~ spl48_233 ),
inference(forward_demodulation,[],[f2859,f1235]) ).
fof(f2981,plain,
( spl48_135
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f2862,f1593,f1119]) ).
fof(f2982,plain,
( spl48_142
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f2864,f1593,f1162]) ).
fof(f2983,plain,
( spl48_227
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f2865,f1593,f1555]) ).
fof(f2984,plain,
( spl48_50
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f2866,f1593,f662]) ).
fof(f3000,plain,
( $false
| ~ spl48_112
| ~ spl48_158 ),
inference(forward_subsumption_resolution,[],[f2901,f293]) ).
fof(f3001,plain,
( ~ spl48_112
| ~ spl48_158 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3005,plain,
( $false
| ~ spl48_124
| ~ spl48_158 ),
inference(forward_subsumption_resolution,[],[f2905,f1060]) ).
fof(f3006,plain,
( ~ spl48_124
| ~ spl48_158 ),
inference(avatar_contradiction_clause,[],[f3005]) ).
fof(f3036,plain,
( $false
| ~ spl48_107
| ~ spl48_125 ),
inference(forward_subsumption_resolution,[],[f2959,f296]) ).
fof(f3037,plain,
( ~ spl48_107
| ~ spl48_125 ),
inference(avatar_contradiction_clause,[],[f3036]) ).
fof(f3040,plain,
( $false
| ~ spl48_166
| ~ spl48_233 ),
inference(forward_subsumption_resolution,[],[f2977,f294]) ).
fof(f3041,plain,
( ~ spl48_166
| ~ spl48_233 ),
inference(avatar_contradiction_clause,[],[f3040]) ).
fof(f3042,plain,
( $false
| ~ spl48_155
| ~ spl48_233 ),
inference(forward_subsumption_resolution,[],[f2978,f293]) ).
fof(f3043,plain,
( ~ spl48_155
| ~ spl48_233 ),
inference(avatar_contradiction_clause,[],[f3042]) ).
fof(f3048,plain,
( ~ spl48_145
| ~ spl48_50 ),
inference(avatar_split_clause,[],[f1623,f662,f1177]) ).
fof(f3052,plain,
( ~ spl48_180
| ~ spl48_50 ),
inference(avatar_split_clause,[],[f1627,f662,f1340]) ).
fof(f3069,plain,
( e0 = e3
| ~ spl48_154
| ~ spl48_176 ),
inference(forward_demodulation,[],[f1231,f1325]) ).
fof(f3077,plain,
( e0 = e2
| ~ spl48_160
| ~ spl48_174 ),
inference(backward_demodulation,[],[f1257,f1317]) ).
fof(f3105,plain,
( $false
| ~ spl48_198
| ~ spl48_227 ),
inference(forward_subsumption_resolution,[],[f2329,f1557]) ).
fof(f3106,plain,
( ~ spl48_198
| ~ spl48_227 ),
inference(avatar_contradiction_clause,[],[f3105]) ).
fof(f3139,plain,
( op(e0,e0) != e4
| ~ spl48_186 ),
inference(forward_demodulation,[],[f290,f1368]) ).
fof(f3142,plain,
( spl48_126
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f2860,f1593,f1068]) ).
fof(f3145,plain,
( e3 = e4
| ~ spl48_120
| ~ spl48_184 ),
inference(backward_demodulation,[],[f1360,f1039]) ).
fof(f3149,plain,
( $false
| ~ spl48_160
| ~ spl48_192 ),
inference(forward_subsumption_resolution,[],[f2681,f1396]) ).
fof(f3150,plain,
( ~ spl48_160
| ~ spl48_192 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
fof(f3172,plain,
( spl48_158
| ~ spl48_114 ),
inference(avatar_split_clause,[],[f2091,f1004,f1246]) ).
fof(f3182,plain,
( $false
| ~ spl48_114
| ~ spl48_169 ),
inference(forward_subsumption_resolution,[],[f2090,f1295]) ).
fof(f3183,plain,
( ~ spl48_114
| ~ spl48_169 ),
inference(avatar_contradiction_clause,[],[f3182]) ).
fof(f3207,plain,
( ~ spl48_201
| ~ spl48_176 ),
inference(avatar_split_clause,[],[f2670,f1323,f1433]) ).
fof(f3238,plain,
( $false
| ~ spl48_154
| ~ spl48_176 ),
inference(forward_subsumption_resolution,[],[f3069,f300]) ).
fof(f3239,plain,
( ~ spl48_154
| ~ spl48_176 ),
inference(avatar_contradiction_clause,[],[f3238]) ).
fof(f3242,plain,
( $false
| ~ spl48_160
| ~ spl48_174 ),
inference(forward_subsumption_resolution,[],[f3077,f301]) ).
fof(f3243,plain,
( ~ spl48_160
| ~ spl48_174 ),
inference(avatar_contradiction_clause,[],[f3242]) ).
fof(f3264,plain,
( $false
| ~ spl48_120
| ~ spl48_184 ),
inference(forward_subsumption_resolution,[],[f3145,f293]) ).
fof(f3265,plain,
( ~ spl48_120
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f3264]) ).
fof(f3324,plain,
( $false
| ~ spl48_115
| ~ spl48_186 ),
inference(forward_subsumption_resolution,[],[f1686,f1368]) ).
fof(f3325,plain,
( ~ spl48_115
| ~ spl48_186 ),
inference(avatar_contradiction_clause,[],[f3324]) ).
fof(f3326,plain,
( ~ spl48_208
| ~ spl48_115 ),
inference(avatar_split_clause,[],[f1687,f1009,f1464]) ).
fof(f3341,plain,
( ~ spl48_187
| ~ spl48_153 ),
inference(avatar_split_clause,[],[f2642,f1225,f1371]) ).
fof(f3353,plain,
( ~ spl48_123
| ~ spl48_158 ),
inference(avatar_split_clause,[],[f2903,f1246,f1053]) ).
fof(f3368,plain,
( e0 = e4
| ~ spl48_185
| ~ spl48_203 ),
inference(backward_demodulation,[],[f1364,f1444]) ).
fof(f3384,plain,
( e4 = op(e4,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f133,f1587]) ).
fof(f3385,plain,
( e4 = op(e2,e4)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f134,f1587]) ).
fof(f3386,plain,
( e3 = op(e3,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f135,f1587]) ).
fof(f3387,plain,
( e3 = op(e2,e3)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f136,f1587]) ).
fof(f3388,plain,
( e2 = op(e2,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f137,f1587]) ).
fof(f3389,plain,
( e2 = op(e2,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f138,f1587]) ).
fof(f3390,plain,
( e1 = op(e1,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f139,f1587]) ).
fof(f3391,plain,
( e1 = op(e2,e1)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f140,f1587]) ).
fof(f3392,plain,
( e0 = op(e0,e2)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f141,f1587]) ).
fof(f3393,plain,
( e0 = op(e2,e0)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f142,f1587]) ).
fof(f3473,plain,
( e2 != op(e0,e2)
| ~ spl48_164 ),
inference(forward_demodulation,[],[f269,f1274]) ).
fof(f3506,plain,
( e2 != op(e1,e1)
| ~ spl48_190 ),
inference(forward_demodulation,[],[f227,f1387]) ).
fof(f3511,plain,
( e3 != op(e4,e0)
| ~ spl48_158 ),
inference(forward_demodulation,[],[f202,f1248]) ).
fof(f3515,plain,
( e3 != op(e0,e1)
| ~ spl48_158 ),
inference(forward_demodulation,[],[f279,f1248]) ).
fof(f3523,plain,
( $false
| ~ spl48_185
| ~ spl48_203 ),
inference(forward_subsumption_resolution,[],[f3368,f299]) ).
fof(f3524,plain,
( ~ spl48_185
| ~ spl48_203 ),
inference(avatar_contradiction_clause,[],[f3523]) ).
fof(f3529,plain,
( e2 = e4
| ~ spl48_164
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3384,f1274]) ).
fof(f3530,plain,
( e3 = e4
| ~ spl48_153
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3385,f1227]) ).
fof(f3531,plain,
( spl48_187
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3387,f1585,f1371]) ).
fof(f3533,plain,
( e1 = e2
| ~ spl48_134
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3389,f1116]) ).
fof(f3535,plain,
( e0 = e1
| ~ spl48_219
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3391,f1518]) ).
fof(f3536,plain,
( spl48_147
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3392,f1585,f1191]) ).
fof(f3537,plain,
( spl48_220
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3393,f1585,f1520]) ).
fof(f3591,plain,
( $false
| ~ spl48_133
| ~ spl48_190 ),
inference(forward_subsumption_resolution,[],[f3506,f1111]) ).
fof(f3592,plain,
( ~ spl48_133
| ~ spl48_190 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3593,plain,
( $false
| ~ spl48_158
| ~ spl48_159 ),
inference(forward_subsumption_resolution,[],[f3511,f1252]) ).
fof(f3594,plain,
( ~ spl48_158
| ~ spl48_159 ),
inference(avatar_contradiction_clause,[],[f3593]) ).
fof(f3599,plain,
( $false
| ~ spl48_164
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f3529,f294]) ).
fof(f3600,plain,
( ~ spl48_164
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f3599]) ).
fof(f3601,plain,
( $false
| ~ spl48_153
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f3530,f293]) ).
fof(f3602,plain,
( ~ spl48_153
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f3601]) ).
fof(f3605,plain,
( $false
| ~ spl48_134
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f3533,f298]) ).
fof(f3606,plain,
( ~ spl48_134
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f3605]) ).
fof(f3609,plain,
( $false
| ~ spl48_219
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f3535,f302]) ).
fof(f3610,plain,
( ~ spl48_219
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3617,plain,
( ~ spl48_205
| ~ spl48_109 ),
inference(avatar_split_clause,[],[f1660,f979,f1451]) ).
fof(f3626,plain,
( ~ spl48_135
| ~ spl48_132 ),
inference(avatar_split_clause,[],[f1720,f1104,f1119]) ).
fof(f3634,plain,
( e0 = e2
| ~ spl48_147
| ~ spl48_214 ),
inference(backward_demodulation,[],[f1493,f1192]) ).
fof(f3637,plain,
( ~ spl48_208
| ~ spl48_150 ),
inference(avatar_split_clause,[],[f2934,f1211,f1464]) ).
fof(f3639,plain,
( ~ spl48_152
| ~ spl48_150 ),
inference(avatar_split_clause,[],[f2936,f1211,f1219]) ).
fof(f3641,plain,
( ~ spl48_181
| ~ spl48_150 ),
inference(avatar_split_clause,[],[f2932,f1211,f1345]) ).
fof(f3680,plain,
( spl48_216
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3391,f1585,f1502]) ).
fof(f3706,plain,
( e1 != op(e2,e1)
| ~ spl48_195 ),
inference(forward_demodulation,[],[f217,f1409]) ).
fof(f3734,plain,
( e4 = op(e2,e0)
| ~ spl48_62
| ~ spl48_166 ),
inference(forward_demodulation,[],[f728,f1282]) ).
fof(f3779,plain,
( spl48_131
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3388,f1585,f1097]) ).
fof(f3785,plain,
( e4 != op(e0,e1)
| ~ spl48_113 ),
inference(forward_demodulation,[],[f282,f1001]) ).
fof(f3798,plain,
( $false
| ~ spl48_147
| ~ spl48_214 ),
inference(forward_subsumption_resolution,[],[f3634,f301]) ).
fof(f3799,plain,
( ~ spl48_147
| ~ spl48_214 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3830,plain,
( e0 = e4
| ~ spl48_62
| ~ spl48_166
| ~ spl48_220 ),
inference(forward_demodulation,[],[f3734,f1522]) ).
fof(f3856,plain,
( $false
| ~ spl48_62
| ~ spl48_166
| ~ spl48_220 ),
inference(forward_subsumption_resolution,[],[f3830,f299]) ).
fof(f3857,plain,
( ~ spl48_62
| ~ spl48_166
| ~ spl48_220 ),
inference(avatar_contradiction_clause,[],[f3856]) ).
fof(f3863,plain,
( e3 = op(e2,e4)
| ~ spl48_65
| ~ spl48_160 ),
inference(forward_demodulation,[],[f743,f1257]) ).
fof(f3867,plain,
( e1 = e4
| ~ spl48_186
| ~ spl48_199 ),
inference(backward_demodulation,[],[f1368,f1426]) ).
fof(f3869,plain,
( e1 = e2
| ~ spl48_132
| ~ spl48_216 ),
inference(backward_demodulation,[],[f1105,f1504]) ).
fof(f3872,plain,
( $false
| ~ spl48_216
| ~ spl48_227 ),
inference(forward_subsumption_resolution,[],[f2871,f1557]) ).
fof(f3873,plain,
( ~ spl48_216
| ~ spl48_227 ),
inference(avatar_contradiction_clause,[],[f3872]) ).
fof(f3889,plain,
( e3 != op(e1,e3)
| ~ spl48_187 ),
inference(forward_demodulation,[],[f258,f1373]) ).
fof(f3903,plain,
( $false
| ~ spl48_116
| ~ spl48_186 ),
inference(forward_subsumption_resolution,[],[f3139,f1016]) ).
fof(f3904,plain,
( ~ spl48_116
| ~ spl48_186 ),
inference(avatar_contradiction_clause,[],[f3903]) ).
fof(f3927,plain,
( spl48_153
| ~ spl48_65
| ~ spl48_160 ),
inference(avatar_split_clause,[],[f3863,f1255,f741,f1225]) ).
fof(f3930,plain,
( $false
| ~ spl48_186
| ~ spl48_199 ),
inference(forward_subsumption_resolution,[],[f3867,f296]) ).
fof(f3931,plain,
( ~ spl48_186
| ~ spl48_199 ),
inference(avatar_contradiction_clause,[],[f3930]) ).
fof(f3932,plain,
( $false
| ~ spl48_132
| ~ spl48_216 ),
inference(forward_subsumption_resolution,[],[f3869,f298]) ).
fof(f3933,plain,
( ~ spl48_132
| ~ spl48_216 ),
inference(avatar_contradiction_clause,[],[f3932]) ).
fof(f3952,plain,
( e3 = op(e0,e1)
| ~ spl48_71
| ~ spl48_203 ),
inference(forward_demodulation,[],[f776,f1444]) ).
fof(f3959,plain,
( ~ spl48_182
| ~ spl48_107 ),
inference(avatar_split_clause,[],[f1653,f969,f1349]) ).
fof(f3968,plain,
( e2 = e4
| ~ spl48_113
| ~ spl48_133 ),
inference(backward_demodulation,[],[f1001,f1111]) ).
fof(f3975,plain,
( e1 = e2
| ~ spl48_191
| ~ spl48_196 ),
inference(backward_demodulation,[],[f1391,f1413]) ).
fof(f3976,plain,
( $false
| ~ spl48_116
| ~ spl48_221 ),
inference(forward_subsumption_resolution,[],[f2394,f1016]) ).
fof(f3977,plain,
( ~ spl48_116
| ~ spl48_221 ),
inference(avatar_contradiction_clause,[],[f3976]) ).
fof(f3985,plain,
( $false
| ~ spl48_113
| ~ spl48_221 ),
inference(forward_subsumption_resolution,[],[f1684,f1527]) ).
fof(f3986,plain,
( ~ spl48_113
| ~ spl48_221 ),
inference(avatar_contradiction_clause,[],[f3985]) ).
fof(f3990,plain,
( $false
| ~ spl48_113
| ~ spl48_221 ),
inference(forward_subsumption_resolution,[],[f3785,f1527]) ).
fof(f3991,plain,
( ~ spl48_113
| ~ spl48_221 ),
inference(avatar_contradiction_clause,[],[f3990]) ).
fof(f4003,plain,
( e3 != op(e0,e3)
| ~ spl48_188 ),
inference(forward_demodulation,[],[f262,f1377]) ).
fof(f4005,plain,
( $false
| ~ spl48_187
| ~ spl48_188 ),
inference(forward_subsumption_resolution,[],[f3889,f1377]) ).
fof(f4006,plain,
( ~ spl48_187
| ~ spl48_188 ),
inference(avatar_contradiction_clause,[],[f4005]) ).
fof(f4053,plain,
( spl48_223
| ~ spl48_71
| ~ spl48_203 ),
inference(avatar_split_clause,[],[f3952,f1442,f774,f1535]) ).
fof(f4055,plain,
( $false
| ~ spl48_113
| ~ spl48_133 ),
inference(forward_subsumption_resolution,[],[f3968,f294]) ).
fof(f4056,plain,
( ~ spl48_113
| ~ spl48_133 ),
inference(avatar_contradiction_clause,[],[f4055]) ).
fof(f4057,plain,
( $false
| ~ spl48_191
| ~ spl48_196 ),
inference(forward_subsumption_resolution,[],[f3975,f298]) ).
fof(f4058,plain,
( ~ spl48_191
| ~ spl48_196 ),
inference(avatar_contradiction_clause,[],[f4057]) ).
fof(f4085,plain,
( e0 != op(e0,e2)
| spl48_86
| ~ spl48_220 ),
inference(forward_demodulation,[],[f855,f1522]) ).
fof(f4106,plain,
( e0 = e4
| ~ spl48_147
| ~ spl48_206 ),
inference(forward_demodulation,[],[f1457,f1192]) ).
fof(f4117,plain,
( $false
| ~ spl48_158
| ~ spl48_223 ),
inference(forward_subsumption_resolution,[],[f3515,f1537]) ).
fof(f4118,plain,
( ~ spl48_158
| ~ spl48_223 ),
inference(avatar_contradiction_clause,[],[f4117]) ).
fof(f4176,plain,
( e0 = e4
| ~ spl48_178
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3384,f1334]) ).
fof(f4180,plain,
( $false
| spl48_86
| ~ spl48_147
| ~ spl48_220 ),
inference(forward_subsumption_resolution,[],[f4085,f1192]) ).
fof(f4181,plain,
( spl48_86
| ~ spl48_147
| ~ spl48_220 ),
inference(avatar_contradiction_clause,[],[f4180]) ).
fof(f4188,plain,
( $false
| ~ spl48_147
| ~ spl48_206 ),
inference(forward_subsumption_resolution,[],[f4106,f299]) ).
fof(f4189,plain,
( ~ spl48_147
| ~ spl48_206 ),
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4204,plain,
( $false
| ~ spl48_178
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f4176,f299]) ).
fof(f4205,plain,
( ~ spl48_178
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f4204]) ).
fof(f4210,plain,
( e4 = op(e3,e1)
| ~ spl48_59
| ~ spl48_158 ),
inference(forward_demodulation,[],[f713,f1248]) ).
fof(f4278,plain,
( e0 = e4
| ~ spl48_59
| ~ spl48_158
| ~ spl48_203 ),
inference(forward_demodulation,[],[f4210,f1444]) ).
fof(f4289,plain,
( $false
| ~ spl48_59
| ~ spl48_158
| ~ spl48_203 ),
inference(forward_subsumption_resolution,[],[f4278,f299]) ).
fof(f4290,plain,
( ~ spl48_59
| ~ spl48_158
| ~ spl48_203 ),
inference(avatar_contradiction_clause,[],[f4289]) ).
fof(f4294,plain,
( e0 = op(e3,e4)
| ~ spl48_98
| ~ spl48_155 ),
inference(forward_demodulation,[],[f920,f1235]) ).
fof(f4298,plain,
( spl48_174
| ~ spl48_98
| ~ spl48_155 ),
inference(avatar_split_clause,[],[f4294,f1233,f918,f1315]) ).
fof(f4301,plain,
( e3 != op(e2,e3)
| spl48_69
| ~ spl48_120 ),
inference(forward_demodulation,[],[f766,f1039]) ).
fof(f4304,plain,
( $false
| spl48_69
| ~ spl48_120
| ~ spl48_187 ),
inference(forward_subsumption_resolution,[],[f4301,f1373]) ).
fof(f4305,plain,
( spl48_69
| ~ spl48_120
| ~ spl48_187 ),
inference(avatar_contradiction_clause,[],[f4304]) ).
fof(f4309,plain,
( e1 = op(e0,e4)
| ~ spl48_88
| ~ spl48_176 ),
inference(forward_demodulation,[],[f865,f1325]) ).
fof(f4311,plain,
( spl48_169
| ~ spl48_88
| ~ spl48_176 ),
inference(avatar_split_clause,[],[f4309,f1323,f863,f1293]) ).
fof(f4314,plain,
( e1 = op(e2,e3)
| ~ spl48_90
| ~ spl48_190 ),
inference(forward_demodulation,[],[f876,f1387]) ).
fof(f4317,plain,
( spl48_195
| ~ spl48_90
| ~ spl48_190 ),
inference(avatar_split_clause,[],[f4314,f1385,f874,f1407]) ).
fof(f4318,plain,
( e1 != op(e1,e2)
| spl48_83
| ~ spl48_216 ),
inference(forward_demodulation,[],[f840,f1504]) ).
fof(f4322,plain,
( $false
| spl48_83
| ~ spl48_140
| ~ spl48_216 ),
inference(forward_subsumption_resolution,[],[f4318,f1149]) ).
fof(f4323,plain,
( spl48_83
| ~ spl48_140
| ~ spl48_216 ),
inference(avatar_contradiction_clause,[],[f4322]) ).
fof(f4326,plain,
( e1 != op(e0,e3)
| spl48_75
| ~ spl48_199 ),
inference(forward_demodulation,[],[f796,f1426]) ).
fof(f4329,plain,
( e0 = op(e1,e3)
| ~ spl48_100
| ~ spl48_196 ),
inference(forward_demodulation,[],[f931,f1413]) ).
fof(f4330,plain,
( $false
| spl48_75
| ~ spl48_196
| ~ spl48_199 ),
inference(forward_subsumption_resolution,[],[f4326,f1413]) ).
fof(f4331,plain,
( spl48_75
| ~ spl48_196
| ~ spl48_199 ),
inference(avatar_contradiction_clause,[],[f4330]) ).
fof(f4334,plain,
( spl48_201
| ~ spl48_100
| ~ spl48_196 ),
inference(avatar_split_clause,[],[f4329,f1411,f929,f1433]) ).
fof(f4339,plain,
( e0 = op(e2,e1)
| ~ spl48_104
| ~ spl48_225 ),
inference(forward_demodulation,[],[f953,f1547]) ).
fof(f4343,plain,
( ~ spl48_224
| ~ spl48_126 ),
inference(avatar_split_clause,[],[f1706,f1068,f1540]) ).
fof(f4346,plain,
( e1 = e3
| ~ spl48_140
| ~ spl48_209 ),
inference(forward_demodulation,[],[f1471,f1149]) ).
fof(f4370,plain,
( e1 = e3
| ~ spl48_197
| ~ spl48_231 ),
inference(forward_demodulation,[],[f3386,f1418]) ).
fof(f4388,plain,
( spl48_219
| ~ spl48_104
| ~ spl48_225 ),
inference(avatar_split_clause,[],[f4339,f1545,f951,f1516]) ).
fof(f4391,plain,
( $false
| ~ spl48_140
| ~ spl48_209 ),
inference(forward_subsumption_resolution,[],[f4346,f297]) ).
fof(f4392,plain,
( ~ spl48_140
| ~ spl48_209 ),
inference(avatar_contradiction_clause,[],[f4391]) ).
fof(f4394,plain,
( $false
| ~ spl48_197
| ~ spl48_231 ),
inference(forward_subsumption_resolution,[],[f4370,f297]) ).
fof(f4395,plain,
( ~ spl48_197
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f4394]) ).
fof(f4413,plain,
( ~ spl48_126
| ~ spl48_120 ),
inference(avatar_split_clause,[],[f1694,f1038,f1068]) ).
fof(f4429,plain,
( e4 != op(e3,e0)
| spl48_75
| ~ spl48_183 ),
inference(backward_demodulation,[],[f796,f1355]) ).
fof(f4441,plain,
( e0 != op(e4,e3)
| spl48_73
| ~ spl48_186 ),
inference(backward_demodulation,[],[f786,f1368]) ).
fof(f4502,plain,
( e0 != op(e4,e3)
| spl48_100
| ~ spl48_183 ),
inference(forward_demodulation,[],[f930,f1355]) ).
fof(f4525,plain,
( $false
| spl48_75
| ~ spl48_183
| ~ spl48_186 ),
inference(forward_subsumption_resolution,[],[f4429,f1368]) ).
fof(f4526,plain,
( spl48_75
| ~ spl48_183
| ~ spl48_186 ),
inference(avatar_contradiction_clause,[],[f4525]) ).
fof(f4527,plain,
( $false
| spl48_73
| ~ spl48_177
| ~ spl48_186 ),
inference(forward_subsumption_resolution,[],[f4441,f1330]) ).
fof(f4528,plain,
( spl48_73
| ~ spl48_177
| ~ spl48_186 ),
inference(avatar_contradiction_clause,[],[f4527]) ).
fof(f4543,plain,
( $false
| spl48_100
| ~ spl48_177
| ~ spl48_183 ),
inference(forward_subsumption_resolution,[],[f4502,f1330]) ).
fof(f4544,plain,
( spl48_100
| ~ spl48_177
| ~ spl48_183 ),
inference(avatar_contradiction_clause,[],[f4543]) ).
fof(f4558,plain,
( e0 != op(e3,e1)
| spl48_94
| ~ spl48_224 ),
inference(forward_demodulation,[],[f900,f1542]) ).
fof(f4564,plain,
( $false
| spl48_94
| ~ spl48_203
| ~ spl48_224 ),
inference(forward_subsumption_resolution,[],[f4558,f1444]) ).
fof(f4565,plain,
( spl48_94
| ~ spl48_203
| ~ spl48_224 ),
inference(avatar_contradiction_clause,[],[f4564]) ).
fof(f4574,plain,
( e0 = e2
| ~ spl48_163
| ~ spl48_177 ),
inference(forward_demodulation,[],[f1270,f1330]) ).
fof(f4592,plain,
( e0 != op(e2,e0)
| ~ spl48_180 ),
inference(forward_demodulation,[],[f284,f1342]) ).
fof(f4612,plain,
( $false
| ~ spl48_163
| ~ spl48_177 ),
inference(forward_subsumption_resolution,[],[f4574,f301]) ).
fof(f4613,plain,
( ~ spl48_163
| ~ spl48_177 ),
inference(avatar_contradiction_clause,[],[f4612]) ).
fof(f4616,plain,
( $false
| ~ spl48_180
| ~ spl48_220 ),
inference(forward_subsumption_resolution,[],[f4592,f1522]) ).
fof(f4617,plain,
( ~ spl48_180
| ~ spl48_220 ),
inference(avatar_contradiction_clause,[],[f4616]) ).
fof(f4633,plain,
( $false
| ~ spl48_130
| ~ spl48_131 ),
inference(forward_subsumption_resolution,[],[f2431,f1098]) ).
fof(f4634,plain,
( ~ spl48_130
| ~ spl48_131 ),
inference(avatar_contradiction_clause,[],[f4633]) ).
fof(f4705,plain,
( spl48_140
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3390,f1585,f1148]) ).
fof(f4785,plain,
( ~ spl48_190
| ~ spl48_163 ),
inference(avatar_split_clause,[],[f2375,f1268,f1385]) ).
fof(f4792,plain,
( ~ spl48_202
| ~ spl48_178 ),
inference(avatar_split_clause,[],[f2361,f1332,f1438]) ).
fof(f4803,plain,
( ~ spl48_189
| ~ spl48_188 ),
inference(avatar_split_clause,[],[f4003,f1375,f1379]) ).
fof(f4832,plain,
( e2 = e3
| ~ spl48_210
| ~ spl48_214 ),
inference(backward_demodulation,[],[f1475,f1493]) ).
fof(f4833,plain,
( ~ spl48_225
| ~ spl48_214 ),
inference(avatar_split_clause,[],[f2879,f1491,f1545]) ).
fof(f4850,plain,
( e3 = op(e0,e3)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f136,f1595]) ).
fof(f4852,plain,
( e2 = op(e0,e2)
| ~ spl48_233 ),
inference(forward_demodulation,[],[f138,f1595]) ).
fof(f4866,plain,
( e1 != op(e0,e1)
| spl48_96
| ~ spl48_142 ),
inference(forward_demodulation,[],[f910,f1163]) ).
fof(f4893,plain,
( e4 = op(e1,e2)
| ~ spl48_83
| ~ spl48_207 ),
inference(forward_demodulation,[],[f839,f1462]) ).
fof(f4936,plain,
( $false
| spl48_54
| ~ spl48_160
| ~ spl48_163 ),
inference(forward_subsumption_resolution,[],[f2814,f1270]) ).
fof(f4937,plain,
( spl48_54
| ~ spl48_160
| ~ spl48_163 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4948,plain,
( e4 != op(e0,e4)
| spl48_63
| ~ spl48_115 ),
inference(forward_demodulation,[],[f733,f1010]) ).
fof(f5015,plain,
( e1 != op(e2,e2)
| ~ spl48_197 ),
inference(forward_demodulation,[],[f265,f1418]) ).
fof(f5037,plain,
( e4 = op(e0,e2)
| ~ spl48_56
| ~ spl48_178 ),
inference(forward_demodulation,[],[f698,f1334]) ).
fof(f5044,plain,
( $false
| ~ spl48_210
| ~ spl48_214 ),
inference(forward_subsumption_resolution,[],[f4832,f295]) ).
fof(f5045,plain,
( ~ spl48_210
| ~ spl48_214 ),
inference(avatar_contradiction_clause,[],[f5044]) ).
fof(f5048,plain,
( $false
| spl48_96
| ~ spl48_142
| ~ spl48_227 ),
inference(forward_subsumption_resolution,[],[f4866,f1557]) ).
fof(f5049,plain,
( spl48_96
| ~ spl48_142
| ~ spl48_227 ),
inference(avatar_contradiction_clause,[],[f5048]) ).
fof(f5097,plain,
( $false
| spl48_63
| ~ spl48_115
| ~ spl48_152 ),
inference(forward_subsumption_resolution,[],[f4948,f1221]) ).
fof(f5098,plain,
( spl48_63
| ~ spl48_115
| ~ spl48_152 ),
inference(avatar_contradiction_clause,[],[f5097]) ).
fof(f5129,plain,
( $false
| ~ spl48_134
| ~ spl48_197 ),
inference(forward_subsumption_resolution,[],[f5015,f1116]) ).
fof(f5130,plain,
( ~ spl48_134
| ~ spl48_197 ),
inference(avatar_contradiction_clause,[],[f5129]) ).
fof(f5142,plain,
( e2 = e4
| ~ spl48_56
| ~ spl48_178
| ~ spl48_214 ),
inference(forward_demodulation,[],[f5037,f1493]) ).
fof(f5150,plain,
( $false
| ~ spl48_56
| ~ spl48_178
| ~ spl48_214 ),
inference(forward_subsumption_resolution,[],[f5142,f294]) ).
fof(f5151,plain,
( ~ spl48_56
| ~ spl48_178
| ~ spl48_214 ),
inference(avatar_contradiction_clause,[],[f5150]) ).
fof(f5185,plain,
( ~ spl48_214
| ~ spl48_164 ),
inference(avatar_split_clause,[],[f3473,f1272,f1491]) ).
fof(f5198,plain,
( e2 = op(e1,e3)
| ~ spl48_79
| ~ spl48_195 ),
inference(backward_demodulation,[],[f817,f1409]) ).
fof(f5202,plain,
( ~ spl48_216
| ~ spl48_195 ),
inference(avatar_split_clause,[],[f3706,f1407,f1502]) ).
fof(f5227,plain,
( spl48_214
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f4852,f1593,f1491]) ).
fof(f5256,plain,
( $false
| ~ spl48_160
| ~ spl48_193 ),
inference(forward_subsumption_resolution,[],[f2680,f1400]) ).
fof(f5257,plain,
( ~ spl48_160
| ~ spl48_193 ),
inference(avatar_contradiction_clause,[],[f5256]) ).
fof(f5291,plain,
( e2 = e3
| ~ spl48_191
| ~ spl48_233 ),
inference(forward_demodulation,[],[f4850,f1391]) ).
fof(f5351,plain,
( spl48_190
| ~ spl48_79
| ~ spl48_195 ),
inference(avatar_split_clause,[],[f5198,f1407,f815,f1385]) ).
fof(f5381,plain,
( $false
| ~ spl48_191
| ~ spl48_233 ),
inference(forward_subsumption_resolution,[],[f5291,f295]) ).
fof(f5382,plain,
( ~ spl48_191
| ~ spl48_233 ),
inference(avatar_contradiction_clause,[],[f5381]) ).
fof(f5484,plain,
( spl48_205
| ~ spl48_83
| ~ spl48_207 ),
inference(avatar_split_clause,[],[f4893,f1460,f838,f1451]) ).
fof(f5534,plain,
( e2 != op(e4,e3)
| spl48_67
| ~ spl48_184 ),
inference(forward_demodulation,[],[f756,f1360]) ).
fof(f5573,plain,
( e3 != op(e4,e1)
| spl48_89
| ~ spl48_182 ),
inference(forward_demodulation,[],[f871,f1351]) ).
fof(f5650,plain,
( $false
| spl48_67
| ~ spl48_163
| ~ spl48_184 ),
inference(forward_subsumption_resolution,[],[f5534,f1270]) ).
fof(f5651,plain,
( spl48_67
| ~ spl48_163
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f5650]) ).
fof(f5672,plain,
( $false
| spl48_89
| ~ spl48_158
| ~ spl48_182 ),
inference(forward_subsumption_resolution,[],[f5573,f1248]) ).
fof(f5673,plain,
( spl48_89
| ~ spl48_158
| ~ spl48_182 ),
inference(avatar_contradiction_clause,[],[f5672]) ).
fof(f5708,plain,
( e2 = op(e0,e3)
| ~ spl48_79
| ~ spl48_200 ),
inference(forward_demodulation,[],[f817,f1431]) ).
fof(f5712,plain,
( spl48_191
| ~ spl48_79
| ~ spl48_200 ),
inference(avatar_split_clause,[],[f5708,f1429,f815,f1389]) ).
fof(f5716,plain,
( e3 != op(e0,e3)
| spl48_75
| ~ spl48_126 ),
inference(forward_demodulation,[],[f796,f1069]) ).
fof(f5719,plain,
( $false
| spl48_75
| ~ spl48_126
| ~ spl48_189 ),
inference(forward_subsumption_resolution,[],[f5716,f1381]) ).
fof(f5720,plain,
( spl48_75
| ~ spl48_126
| ~ spl48_189 ),
inference(avatar_contradiction_clause,[],[f5719]) ).
fof(f5723,plain,
( e4 != op(e3,e2)
| spl48_76
| ~ spl48_153 ),
inference(forward_demodulation,[],[f801,f1227]) ).
fof(f5725,plain,
( $false
| spl48_76
| ~ spl48_153
| ~ spl48_184 ),
inference(forward_subsumption_resolution,[],[f5723,f1360]) ).
fof(f5726,plain,
( spl48_76
| ~ spl48_153
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f5725]) ).
fof(f5728,plain,
( e2 != op(e0,e2)
| spl48_86
| ~ spl48_135 ),
inference(forward_demodulation,[],[f855,f1120]) ).
fof(f5729,plain,
( $false
| spl48_86
| ~ spl48_135
| ~ spl48_214 ),
inference(forward_subsumption_resolution,[],[f5728,f1493]) ).
fof(f5730,plain,
( spl48_86
| ~ spl48_135
| ~ spl48_214 ),
inference(avatar_contradiction_clause,[],[f5729]) ).
fof(f5732,plain,
( e1 = op(e3,e2)
| ~ spl48_92
| ~ spl48_209 ),
inference(forward_demodulation,[],[f887,f1471]) ).
fof(f5733,plain,
( spl48_197
| ~ spl48_92
| ~ spl48_209 ),
inference(avatar_split_clause,[],[f5732,f1469,f885,f1416]) ).
fof(f5735,plain,
( e2 = op(e4,e1)
| ~ spl48_82
| ~ spl48_207 ),
inference(forward_demodulation,[],[f835,f1462]) ).
fof(f5739,plain,
( spl48_165
| ~ spl48_82
| ~ spl48_207 ),
inference(avatar_split_clause,[],[f5735,f1460,f833,f1276]) ).
cnf(s3,plain,
( spl48_1
| spl48_2
| spl48_3
| spl48_4
| spl48_5
| spl48_6
| spl48_7
| spl48_8
| spl48_9
| spl48_10
| spl48_11
| spl48_12
| spl48_13
| spl48_14
| spl48_15
| spl48_16
| spl48_17
| spl48_18
| spl48_19
| spl48_20
| spl48_21
| spl48_22
| spl48_23
| spl48_24 ),
inference(sat_conversion,[],[f564]) ).
cnf(s4,plain,
( spl48_26
| spl48_27
| spl48_28
| spl48_29
| spl48_30
| spl48_31
| spl48_32
| spl48_33
| spl48_34
| spl48_35
| spl48_36
| spl48_37
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_42
| spl48_43
| spl48_44
| spl48_45
| spl48_46
| spl48_47
| spl48_48
| spl48_49
| ~ spl48_50 ),
inference(sat_conversion,[],[f665]) ).
cnf(s6,plain,
( spl48_26
| spl48_27
| spl48_28
| spl48_29
| spl48_30
| spl48_31
| spl48_32
| spl48_33
| spl48_34
| spl48_35
| spl48_36
| spl48_37
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_42
| spl48_43
| spl48_44
| spl48_45
| spl48_46
| spl48_47
| spl48_48
| spl48_49
| spl48_50 ),
inference(sat_conversion,[],[f667]) ).
cnf(s9,plain,
~ spl48_1,
inference(sat_conversion,[],[f674]) ).
cnf(s10,plain,
( ~ spl48_2
| ~ spl48_52 ),
inference(sat_conversion,[],[f679]) ).
cnf(s12,plain,
( ~ spl48_2
| ~ spl48_54 ),
inference(sat_conversion,[],[f689]) ).
cnf(s14,plain,
( ~ spl48_3
| spl48_56 ),
inference(sat_conversion,[],[f699]) ).
cnf(s15,plain,
( ~ spl48_3
| ~ spl48_57 ),
inference(sat_conversion,[],[f704]) ).
cnf(s17,plain,
( ~ spl48_4
| spl48_59 ),
inference(sat_conversion,[],[f714]) ).
cnf(s20,plain,
( ~ spl48_5
| spl48_62 ),
inference(sat_conversion,[],[f729]) ).
cnf(s21,plain,
( ~ spl48_5
| ~ spl48_63 ),
inference(sat_conversion,[],[f734]) ).
cnf(s23,plain,
( ~ spl48_6
| spl48_65 ),
inference(sat_conversion,[],[f744]) ).
cnf(s24,plain,
( ~ spl48_6
| ~ spl48_54 ),
inference(sat_conversion,[],[f745]) ).
cnf(s27,plain,
~ spl48_7,
inference(sat_conversion,[],[f752]) ).
cnf(s28,plain,
( ~ spl48_8
| ~ spl48_67 ),
inference(sat_conversion,[],[f757]) ).
cnf(s30,plain,
( ~ spl48_8
| ~ spl48_69 ),
inference(sat_conversion,[],[f767]) ).
cnf(s32,plain,
( ~ spl48_9
| spl48_71 ),
inference(sat_conversion,[],[f777]) ).
cnf(s34,plain,
( ~ spl48_10
| ~ spl48_73 ),
inference(sat_conversion,[],[f787]) ).
cnf(s36,plain,
( ~ spl48_10
| ~ spl48_75 ),
inference(sat_conversion,[],[f797]) ).
cnf(s37,plain,
( ~ spl48_11
| ~ spl48_76 ),
inference(sat_conversion,[],[f802]) ).
cnf(s39,plain,
( ~ spl48_11
| ~ spl48_57 ),
inference(sat_conversion,[],[f808]) ).
cnf(s41,plain,
( ~ spl48_12
| spl48_79 ),
inference(sat_conversion,[],[f818]) ).
cnf(s42,plain,
( ~ spl48_12
| ~ spl48_69 ),
inference(sat_conversion,[],[f819]) ).
cnf(s45,plain,
~ spl48_13,
inference(sat_conversion,[],[f826]) ).
cnf(s47,plain,
( ~ spl48_14
| spl48_82 ),
inference(sat_conversion,[],[f836]) ).
cnf(s48,plain,
( ~ spl48_14
| ~ spl48_83 ),
inference(sat_conversion,[],[f841]) ).
cnf(s51,plain,
( ~ spl48_15
| ~ spl48_86 ),
inference(sat_conversion,[],[f856]) ).
cnf(s53,plain,
( ~ spl48_16
| spl48_88 ),
inference(sat_conversion,[],[f866]) ).
cnf(s55,plain,
( ~ spl48_17
| ~ spl48_89 ),
inference(sat_conversion,[],[f872]) ).
cnf(s56,plain,
( ~ spl48_17
| spl48_90 ),
inference(sat_conversion,[],[f877]) ).
cnf(s59,plain,
( ~ spl48_18
| spl48_92 ),
inference(sat_conversion,[],[f888]) ).
cnf(s60,plain,
( ~ spl48_18
| ~ spl48_83 ),
inference(sat_conversion,[],[f889]) ).
cnf(s63,plain,
~ spl48_19,
inference(sat_conversion,[],[f896]) ).
cnf(s64,plain,
( ~ spl48_20
| ~ spl48_94 ),
inference(sat_conversion,[],[f901]) ).
cnf(s66,plain,
( ~ spl48_20
| ~ spl48_96 ),
inference(sat_conversion,[],[f911]) ).
cnf(s68,plain,
( ~ spl48_21
| spl48_98 ),
inference(sat_conversion,[],[f921]) ).
cnf(s69,plain,
( ~ spl48_21
| ~ spl48_63 ),
inference(sat_conversion,[],[f922]) ).
cnf(s71,plain,
( ~ spl48_22
| spl48_100 ),
inference(sat_conversion,[],[f932]) ).
cnf(s72,plain,
( ~ spl48_22
| ~ spl48_75 ),
inference(sat_conversion,[],[f933]) ).
cnf(s75,plain,
( ~ spl48_23
| ~ spl48_86 ),
inference(sat_conversion,[],[f944]) ).
cnf(s77,plain,
( ~ spl48_24
| spl48_104 ),
inference(sat_conversion,[],[f954]) ).
cnf(s78,plain,
( ~ spl48_24
| ~ spl48_96 ),
inference(sat_conversion,[],[f955]) ).
cnf(s81,plain,
( ~ spl48_26
| spl48_105 ),
inference(sat_conversion,[],[f962]) ).
cnf(s84,plain,
( ~ spl48_27
| spl48_108 ),
inference(sat_conversion,[],[f977]) ).
cnf(s87,plain,
( ~ spl48_28
| spl48_111 ),
inference(sat_conversion,[],[f992]) ).
cnf(s89,plain,
( ~ spl48_29
| spl48_113 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s93,plain,
( ~ spl48_30
| spl48_117 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s95,plain,
( ~ spl48_31
| spl48_108 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s97,plain,
( ~ spl48_32
| ~ spl48_119 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s99,plain,
( ~ spl48_32
| spl48_119 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s102,plain,
( ~ spl48_33
| spl48_122 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s104,plain,
( ~ spl48_34
| spl48_124 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s106,plain,
( ~ spl48_35
| ~ spl48_126 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s108,plain,
( ~ spl48_35
| spl48_128 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s110,plain,
( ~ spl48_36
| spl48_111 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s113,plain,
( ~ spl48_37
| spl48_122 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s115,plain,
( ~ spl48_38
| ~ spl48_131 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s117,plain,
( ~ spl48_38
| spl48_131 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s120,plain,
( ~ spl48_39
| spl48_134 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s121,plain,
( ~ spl48_40
| ~ spl48_135 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s123,plain,
( ~ spl48_40
| spl48_137 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s126,plain,
( ~ spl48_41
| spl48_113 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s129,plain,
( ~ spl48_42
| spl48_124 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s130,plain,
( ~ spl48_43
| ~ spl48_140 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s131,plain,
( ~ spl48_43
| spl48_134 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s133,plain,
( ~ spl48_44
| ~ spl48_141 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s135,plain,
( ~ spl48_44
| spl48_141 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s138,plain,
( ~ spl48_45
| spl48_144 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s140,plain,
( ~ spl48_46
| spl48_117 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s143,plain,
( ~ spl48_47
| spl48_128 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s144,plain,
( ~ spl48_47
| spl48_127 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s145,plain,
( ~ spl48_48
| ~ spl48_147 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s147,plain,
( ~ spl48_48
| spl48_136 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s149,plain,
( ~ spl48_49
| spl48_144 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s151,plain,
spl48_114,
inference(sat_conversion,[],[f1205]) ).
cnf(s154,plain,
( spl48_108
| spl48_118
| spl48_153
| spl48_154
| spl48_155 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s157,plain,
( spl48_111
| spl48_163
| spl48_164
| spl48_165
| spl48_166 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s161,plain,
( spl48_117
| spl48_177
| spl48_178
| spl48_179
| spl48_180 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s162,plain,
( spl48_106
| spl48_107
| spl48_181
| spl48_182
| spl48_183 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s163,plain,
( spl48_107
| spl48_149
| spl48_184
| spl48_185
| spl48_186 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s165,plain,
( spl48_118
| spl48_119
| spl48_120
| spl48_123
| spl48_126 ),
inference(sat_conversion,[],[f1383]) ).
cnf(s166,plain,
( spl48_122
| spl48_130
| spl48_163
| spl48_190
| spl48_191 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s168,plain,
( spl48_125
| spl48_139
| spl48_170
| spl48_195
| spl48_196 ),
inference(sat_conversion,[],[f1414]) ).
cnf(s169,plain,
( spl48_125
| spl48_167
| spl48_197
| spl48_198
| spl48_199 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s173,plain,
( spl48_110
| spl48_150
| spl48_181
| spl48_207
| spl48_208 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s182,plain,
( spl48_112
| spl48_113
| spl48_185
| spl48_207
| spl48_221 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s185,plain,
( spl48_124
| spl48_154
| spl48_188
| spl48_209
| spl48_224 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s186,plain,
( spl48_132
| spl48_133
| spl48_165
| spl48_193
| spl48_225 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s190,plain,
( spl48_144
| spl48_148
| spl48_179
| spl48_203
| spl48_219 ),
inference(sat_conversion,[],[f1560]) ).
cnf(s192,plain,
( spl48_115
| spl48_116
| spl48_186
| spl48_208
| spl48_222 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s193,plain,
( spl48_116
| spl48_152
| spl48_183
| spl48_206
| spl48_221 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s195,plain,
( spl48_127
| spl48_155
| spl48_189
| spl48_210
| spl48_223 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s197,plain,
( spl48_136
| spl48_162
| spl48_191
| spl48_214
| spl48_225 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s202,plain,
( spl48_229
| spl48_230
| spl48_231
| spl48_232
| spl48_233 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s205,plain,
( spl48_109
| spl48_157
| spl48_164
| spl48_171
| spl48_178 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s207,plain,
( spl48_115
| spl48_159
| spl48_166
| spl48_173
| spl48_180 ),
inference(sat_conversion,[],[f1601]) ).
cnf(s210,plain,
( spl48_120
| spl48_184
| spl48_192
| spl48_197
| spl48_202 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s211,plain,
( spl48_123
| spl48_185
| spl48_193
| spl48_198
| spl48_203 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s213,plain,
( spl48_129
| spl48_150
| spl48_153
| spl48_168
| spl48_175 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s214,plain,
( spl48_130
| spl48_181
| spl48_187
| spl48_195
| spl48_200 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s219,plain,
( spl48_139
| spl48_182
| spl48_188
| spl48_190
| spl48_201 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s223,plain,
( spl48_145
| spl48_152
| spl48_155
| spl48_162
| spl48_169 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s226,plain,
( spl48_148
| spl48_221
| spl48_223
| spl48_225
| spl48_227 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s228,plain,
spl48_160,
inference(sat_conversion,[],[f1622]) ).
cnf(s233,plain,
( ~ spl48_105
| ~ spl48_115 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s235,plain,
( ~ spl48_105
| ~ spl48_109 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s245,plain,
( ~ spl48_111
| ~ spl48_114 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s247,plain,
( ~ spl48_114
| ~ spl48_117 ),
inference(sat_conversion,[],[f1842]) ).
cnf(s248,plain,
( ~ spl48_107
| ~ spl48_119 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s254,plain,
( ~ spl48_119
| ~ spl48_125 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s255,plain,
( ~ spl48_50
| ~ spl48_127 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s256,plain,
( ~ spl48_125
| ~ spl48_128 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s257,plain,
( ~ spl48_129
| ~ spl48_160 ),
inference(sat_conversion,[],[f1873]) ).
cnf(s267,plain,
( ~ spl48_50
| ~ spl48_136 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s283,plain,
( ~ spl48_147
| ~ spl48_148 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s289,plain,
( ~ spl48_160
| ~ spl48_229 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s295,plain,
( ~ spl48_113
| ~ spl48_182 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s300,plain,
( ~ spl48_110
| ~ spl48_184 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s301,plain,
( ~ spl48_160
| ~ spl48_167 ),
inference(sat_conversion,[],[f2106]) ).
cnf(s309,plain,
( spl48_192
| ~ spl48_230 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s321,plain,
( ~ spl48_131
| ~ spl48_137 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s323,plain,
( ~ spl48_181
| ~ spl48_182 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s327,plain,
( ~ spl48_185
| ~ spl48_207 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s332,plain,
( ~ spl48_108
| ~ spl48_114 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s338,plain,
( ~ spl48_114
| ~ spl48_170 ),
inference(sat_conversion,[],[f2225]) ).
cnf(s339,plain,
( ~ spl48_114
| ~ spl48_171 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s341,plain,
( ~ spl48_114
| ~ spl48_168 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s342,plain,
( ~ spl48_114
| spl48_176 ),
inference(sat_conversion,[],[f2237]) ).
cnf(s345,plain,
( ~ spl48_127
| ~ spl48_136 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s352,plain,
( ~ spl48_106
| ~ spl48_109 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s364,plain,
( ~ spl48_130
| ~ spl48_135 ),
inference(sat_conversion,[],[f2286]) ).
cnf(s366,plain,
( ~ spl48_139
| ~ spl48_140 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s367,plain,
( ~ spl48_139
| ~ spl48_142 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s373,plain,
( ~ spl48_182
| ~ spl48_222 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s385,plain,
( ~ spl48_114
| ~ spl48_165 ),
inference(sat_conversion,[],[f2482]) ).
cnf(s395,plain,
( ~ spl48_175
| ~ spl48_176 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s396,plain,
( ~ spl48_149
| ~ spl48_160 ),
inference(sat_conversion,[],[f2518]) ).
cnf(s400,plain,
( ~ spl48_144
| ~ spl48_176 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s402,plain,
( ~ spl48_109
| ~ spl48_115 ),
inference(sat_conversion,[],[f2556]) ).
cnf(s405,plain,
( spl48_57
| ~ spl48_109
| ~ spl48_150 ),
inference(sat_conversion,[],[f2562]) ).
cnf(s407,plain,
( ~ spl48_114
| ~ spl48_173 ),
inference(sat_conversion,[],[f2622]) ).
cnf(s408,plain,
( ~ spl48_118
| ~ spl48_160 ),
inference(sat_conversion,[],[f2707]) ).
cnf(s425,plain,
( ~ spl48_150
| ~ spl48_153 ),
inference(sat_conversion,[],[f2756]) ).
cnf(s429,plain,
( ~ spl48_114
| ~ spl48_179 ),
inference(sat_conversion,[],[f2773]) ).
cnf(s431,plain,
( ~ spl48_160
| ~ spl48_162 ),
inference(sat_conversion,[],[f2787]) ).
cnf(s432,plain,
( ~ spl48_122
| ~ spl48_160 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s434,plain,
( ~ spl48_176
| ~ spl48_232 ),
inference(sat_conversion,[],[f2807]) ).
cnf(s448,plain,
( ~ spl48_198
| ~ spl48_216 ),
inference(sat_conversion,[],[f2875]) ).
cnf(s450,plain,
( ~ spl48_157
| ~ spl48_158 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s451,plain,
( spl48_52
| ~ spl48_155
| ~ spl48_177 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s456,plain,
( ~ spl48_198
| ~ spl48_203 ),
inference(sat_conversion,[],[f2976]) ).
cnf(s457,plain,
( spl48_135
| ~ spl48_233 ),
inference(sat_conversion,[],[f2981]) ).
cnf(s458,plain,
( spl48_142
| ~ spl48_233 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s459,plain,
( spl48_227
| ~ spl48_233 ),
inference(sat_conversion,[],[f2983]) ).
cnf(s460,plain,
( spl48_50
| ~ spl48_233 ),
inference(sat_conversion,[],[f2984]) ).
cnf(s466,plain,
( ~ spl48_112
| ~ spl48_158 ),
inference(sat_conversion,[],[f3001]) ).
cnf(s467,plain,
( ~ spl48_124
| ~ spl48_158 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s472,plain,
( ~ spl48_107
| ~ spl48_125 ),
inference(sat_conversion,[],[f3037]) ).
cnf(s474,plain,
( ~ spl48_166
| ~ spl48_233 ),
inference(sat_conversion,[],[f3041]) ).
cnf(s475,plain,
( ~ spl48_155
| ~ spl48_233 ),
inference(sat_conversion,[],[f3043]) ).
cnf(s478,plain,
( ~ spl48_50
| ~ spl48_145 ),
inference(sat_conversion,[],[f3048]) ).
cnf(s482,plain,
( ~ spl48_50
| ~ spl48_180 ),
inference(sat_conversion,[],[f3052]) ).
cnf(s499,plain,
( ~ spl48_198
| ~ spl48_227 ),
inference(sat_conversion,[],[f3106]) ).
cnf(s501,plain,
( spl48_126
| ~ spl48_233 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s502,plain,
( ~ spl48_160
| ~ spl48_192 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s504,plain,
( ~ spl48_114
| spl48_158 ),
inference(sat_conversion,[],[f3172]) ).
cnf(s505,plain,
( ~ spl48_114
| ~ spl48_169 ),
inference(sat_conversion,[],[f3183]) ).
cnf(s506,plain,
( ~ spl48_176
| ~ spl48_201 ),
inference(sat_conversion,[],[f3207]) ).
cnf(s509,plain,
( ~ spl48_154
| ~ spl48_176 ),
inference(sat_conversion,[],[f3239]) ).
cnf(s511,plain,
( ~ spl48_160
| ~ spl48_174 ),
inference(sat_conversion,[],[f3243]) ).
cnf(s516,plain,
( ~ spl48_120
| ~ spl48_184 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s529,plain,
( ~ spl48_115
| ~ spl48_186 ),
inference(sat_conversion,[],[f3325]) ).
cnf(s530,plain,
( ~ spl48_115
| ~ spl48_208 ),
inference(sat_conversion,[],[f3326]) ).
cnf(s538,plain,
( ~ spl48_153
| ~ spl48_187 ),
inference(sat_conversion,[],[f3341]) ).
cnf(s541,plain,
( ~ spl48_123
| ~ spl48_158 ),
inference(sat_conversion,[],[f3353]) ).
cnf(s548,plain,
( ~ spl48_185
| ~ spl48_203 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s551,plain,
( spl48_187
| ~ spl48_231 ),
inference(sat_conversion,[],[f3531]) ).
cnf(s552,plain,
( spl48_147
| ~ spl48_231 ),
inference(sat_conversion,[],[f3536]) ).
cnf(s553,plain,
( spl48_220
| ~ spl48_231 ),
inference(sat_conversion,[],[f3537]) ).
cnf(s557,plain,
( ~ spl48_133
| ~ spl48_190 ),
inference(sat_conversion,[],[f3592]) ).
cnf(s558,plain,
( ~ spl48_158
| ~ spl48_159 ),
inference(sat_conversion,[],[f3594]) ).
cnf(s559,plain,
( ~ spl48_164
| ~ spl48_231 ),
inference(sat_conversion,[],[f3600]) ).
cnf(s560,plain,
( ~ spl48_153
| ~ spl48_231 ),
inference(sat_conversion,[],[f3602]) ).
cnf(s562,plain,
( ~ spl48_134
| ~ spl48_231 ),
inference(sat_conversion,[],[f3606]) ).
cnf(s564,plain,
( ~ spl48_219
| ~ spl48_231 ),
inference(sat_conversion,[],[f3610]) ).
cnf(s568,plain,
( ~ spl48_109
| ~ spl48_205 ),
inference(sat_conversion,[],[f3617]) ).
cnf(s572,plain,
( ~ spl48_132
| ~ spl48_135 ),
inference(sat_conversion,[],[f3626]) ).
cnf(s575,plain,
( ~ spl48_150
| ~ spl48_208 ),
inference(sat_conversion,[],[f3637]) ).
cnf(s576,plain,
( ~ spl48_150
| ~ spl48_152 ),
inference(sat_conversion,[],[f3639]) ).
cnf(s577,plain,
( ~ spl48_150
| ~ spl48_181 ),
inference(sat_conversion,[],[f3641]) ).
cnf(s582,plain,
( spl48_216
| ~ spl48_231 ),
inference(sat_conversion,[],[f3680]) ).
cnf(s586,plain,
( spl48_131
| ~ spl48_231 ),
inference(sat_conversion,[],[f3779]) ).
cnf(s589,plain,
( ~ spl48_147
| ~ spl48_214 ),
inference(sat_conversion,[],[f3799]) ).
cnf(s593,plain,
( ~ spl48_62
| ~ spl48_166
| ~ spl48_220 ),
inference(sat_conversion,[],[f3857]) ).
cnf(s594,plain,
( ~ spl48_216
| ~ spl48_227 ),
inference(sat_conversion,[],[f3873]) ).
cnf(s597,plain,
( ~ spl48_116
| ~ spl48_186 ),
inference(sat_conversion,[],[f3904]) ).
cnf(s599,plain,
( ~ spl48_65
| spl48_153
| ~ spl48_160 ),
inference(sat_conversion,[],[f3927]) ).
cnf(s601,plain,
( ~ spl48_186
| ~ spl48_199 ),
inference(sat_conversion,[],[f3931]) ).
cnf(s602,plain,
( ~ spl48_132
| ~ spl48_216 ),
inference(sat_conversion,[],[f3933]) ).
cnf(s604,plain,
( ~ spl48_107
| ~ spl48_182 ),
inference(sat_conversion,[],[f3959]) ).
cnf(s608,plain,
( ~ spl48_116
| ~ spl48_221 ),
inference(sat_conversion,[],[f3977]) ).
cnf(s609,plain,
( ~ spl48_113
| ~ spl48_221 ),
inference(sat_conversion,[],[f3986]) ).
cnf(s610,plain,
( ~ spl48_113
| ~ spl48_221 ),
inference(sat_conversion,[],[f3991]) ).
cnf(s612,plain,
( ~ spl48_187
| ~ spl48_188 ),
inference(sat_conversion,[],[f4006]) ).
cnf(s614,plain,
( ~ spl48_71
| ~ spl48_203
| spl48_223 ),
inference(sat_conversion,[],[f4053]) ).
cnf(s615,plain,
( ~ spl48_113
| ~ spl48_133 ),
inference(sat_conversion,[],[f4056]) ).
cnf(s616,plain,
( ~ spl48_191
| ~ spl48_196 ),
inference(sat_conversion,[],[f4058]) ).
cnf(s622,plain,
( ~ spl48_158
| ~ spl48_223 ),
inference(sat_conversion,[],[f4118]) ).
cnf(s628,plain,
( spl48_86
| ~ spl48_147
| ~ spl48_220 ),
inference(sat_conversion,[],[f4181]) ).
cnf(s632,plain,
( ~ spl48_147
| ~ spl48_206 ),
inference(sat_conversion,[],[f4189]) ).
cnf(s635,plain,
( ~ spl48_178
| ~ spl48_231 ),
inference(sat_conversion,[],[f4205]) ).
cnf(s638,plain,
( ~ spl48_59
| ~ spl48_158
| ~ spl48_203 ),
inference(sat_conversion,[],[f4290]) ).
cnf(s639,plain,
( ~ spl48_98
| ~ spl48_155
| spl48_174 ),
inference(sat_conversion,[],[f4298]) ).
cnf(s640,plain,
( spl48_69
| ~ spl48_120
| ~ spl48_187 ),
inference(sat_conversion,[],[f4305]) ).
cnf(s641,plain,
( ~ spl48_88
| spl48_169
| ~ spl48_176 ),
inference(sat_conversion,[],[f4311]) ).
cnf(s642,plain,
( ~ spl48_90
| ~ spl48_190
| spl48_195 ),
inference(sat_conversion,[],[f4317]) ).
cnf(s643,plain,
( spl48_83
| ~ spl48_140
| ~ spl48_216 ),
inference(sat_conversion,[],[f4323]) ).
cnf(s644,plain,
( spl48_75
| ~ spl48_196
| ~ spl48_199 ),
inference(sat_conversion,[],[f4331]) ).
cnf(s646,plain,
( ~ spl48_100
| ~ spl48_196
| spl48_201 ),
inference(sat_conversion,[],[f4334]) ).
cnf(s647,plain,
( ~ spl48_126
| ~ spl48_224 ),
inference(sat_conversion,[],[f4343]) ).
cnf(s651,plain,
( ~ spl48_104
| spl48_219
| ~ spl48_225 ),
inference(sat_conversion,[],[f4388]) ).
cnf(s653,plain,
( ~ spl48_140
| ~ spl48_209 ),
inference(sat_conversion,[],[f4392]) ).
cnf(s654,plain,
( ~ spl48_197
| ~ spl48_231 ),
inference(sat_conversion,[],[f4395]) ).
cnf(s662,plain,
( ~ spl48_120
| ~ spl48_126 ),
inference(sat_conversion,[],[f4413]) ).
cnf(s670,plain,
( spl48_75
| ~ spl48_183
| ~ spl48_186 ),
inference(sat_conversion,[],[f4526]) ).
cnf(s671,plain,
( spl48_73
| ~ spl48_177
| ~ spl48_186 ),
inference(sat_conversion,[],[f4528]) ).
cnf(s672,plain,
( spl48_100
| ~ spl48_177
| ~ spl48_183 ),
inference(sat_conversion,[],[f4544]) ).
cnf(s674,plain,
( spl48_94
| ~ spl48_203
| ~ spl48_224 ),
inference(sat_conversion,[],[f4565]) ).
cnf(s681,plain,
( ~ spl48_163
| ~ spl48_177 ),
inference(sat_conversion,[],[f4613]) ).
cnf(s682,plain,
( ~ spl48_180
| ~ spl48_220 ),
inference(sat_conversion,[],[f4617]) ).
cnf(s686,plain,
( ~ spl48_130
| ~ spl48_131 ),
inference(sat_conversion,[],[f4634]) ).
cnf(s692,plain,
( spl48_140
| ~ spl48_231 ),
inference(sat_conversion,[],[f4705]) ).
cnf(s759,plain,
( ~ spl48_163
| ~ spl48_190 ),
inference(sat_conversion,[],[f4785]) ).
cnf(s761,plain,
( ~ spl48_178
| ~ spl48_202 ),
inference(sat_conversion,[],[f4792]) ).
cnf(s767,plain,
( ~ spl48_188
| ~ spl48_189 ),
inference(sat_conversion,[],[f4803]) ).
cnf(s779,plain,
( ~ spl48_214
| ~ spl48_225 ),
inference(sat_conversion,[],[f4833]) ).
cnf(s781,plain,
( spl48_54
| ~ spl48_160
| ~ spl48_163 ),
inference(sat_conversion,[],[f4937]) ).
cnf(s783,plain,
( ~ spl48_210
| ~ spl48_214 ),
inference(sat_conversion,[],[f5045]) ).
cnf(s784,plain,
( spl48_96
| ~ spl48_142
| ~ spl48_227 ),
inference(sat_conversion,[],[f5049]) ).
cnf(s792,plain,
( spl48_63
| ~ spl48_115
| ~ spl48_152 ),
inference(sat_conversion,[],[f5098]) ).
cnf(s794,plain,
( ~ spl48_134
| ~ spl48_197 ),
inference(sat_conversion,[],[f5130]) ).
cnf(s799,plain,
( ~ spl48_56
| ~ spl48_178
| ~ spl48_214 ),
inference(sat_conversion,[],[f5151]) ).
cnf(s810,plain,
( ~ spl48_164
| ~ spl48_214 ),
inference(sat_conversion,[],[f5185]) ).
cnf(s814,plain,
( ~ spl48_195
| ~ spl48_216 ),
inference(sat_conversion,[],[f5202]) ).
cnf(s818,plain,
( spl48_214
| ~ spl48_233 ),
inference(sat_conversion,[],[f5227]) ).
cnf(s820,plain,
( ~ spl48_160
| ~ spl48_193 ),
inference(sat_conversion,[],[f5257]) ).
cnf(s822,plain,
( ~ spl48_79
| spl48_190
| ~ spl48_195 ),
inference(sat_conversion,[],[f5351]) ).
cnf(s825,plain,
( ~ spl48_191
| ~ spl48_233 ),
inference(sat_conversion,[],[f5382]) ).
cnf(s879,plain,
( ~ spl48_83
| spl48_205
| ~ spl48_207 ),
inference(sat_conversion,[],[f5484]) ).
cnf(s881,plain,
( spl48_67
| ~ spl48_163
| ~ spl48_184 ),
inference(sat_conversion,[],[f5651]) ).
cnf(s882,plain,
( spl48_89
| ~ spl48_158
| ~ spl48_182 ),
inference(sat_conversion,[],[f5673]) ).
cnf(s885,plain,
( ~ spl48_79
| spl48_191
| ~ spl48_200 ),
inference(sat_conversion,[],[f5712]) ).
cnf(s886,plain,
( spl48_75
| ~ spl48_126
| ~ spl48_189 ),
inference(sat_conversion,[],[f5720]) ).
cnf(s887,plain,
( spl48_76
| ~ spl48_153
| ~ spl48_184 ),
inference(sat_conversion,[],[f5726]) ).
cnf(s888,plain,
( spl48_86
| ~ spl48_135
| ~ spl48_214 ),
inference(sat_conversion,[],[f5730]) ).
cnf(s889,plain,
( ~ spl48_92
| spl48_197
| ~ spl48_209 ),
inference(sat_conversion,[],[f5733]) ).
cnf(s890,plain,
( ~ spl48_82
| spl48_165
| ~ spl48_207 ),
inference(sat_conversion,[],[f5739]) ).
cnf(s891,plain,
~ spl48_193,
inference(rat,[],[s820,s228]) ).
cnf(s892,plain,
~ spl48_174,
inference(rat,[],[s511,s228]) ).
cnf(s893,plain,
~ spl48_192,
inference(rat,[],[s502,s228]) ).
cnf(s894,plain,
~ spl48_122,
inference(rat,[],[s432,s228]) ).
cnf(s895,plain,
~ spl48_162,
inference(rat,[],[s431,s228]) ).
cnf(s896,plain,
~ spl48_118,
inference(rat,[],[s408,s228]) ).
cnf(s897,plain,
~ spl48_149,
inference(rat,[],[s396,s228]) ).
cnf(s898,plain,
~ spl48_167,
inference(rat,[],[s301,s228]) ).
cnf(s899,plain,
~ spl48_229,
inference(rat,[],[s289,s228]) ).
cnf(s900,plain,
~ spl48_129,
inference(rat,[],[s257,s228]) ).
cnf(s901,plain,
~ spl48_230,
inference(rat,[],[s309,s893]) ).
cnf(s902,plain,
( spl48_145
| spl48_152
| spl48_155
| spl48_169 ),
inference(rat,[],[s223,s895]) ).
cnf(s903,plain,
( spl48_150
| spl48_153
| spl48_168
| spl48_175 ),
inference(rat,[],[s213,s900]) ).
cnf(s904,plain,
( spl48_123
| spl48_185
| spl48_198
| spl48_203 ),
inference(rat,[],[s211,s891]) ).
cnf(s905,plain,
( spl48_120
| spl48_184
| spl48_197
| spl48_202 ),
inference(rat,[],[s210,s893]) ).
cnf(s907,plain,
( spl48_231
| spl48_232
| spl48_233 ),
inference(rat,[],[s202,s901,s899]) ).
cnf(s908,plain,
( spl48_136
| spl48_191
| spl48_214
| spl48_225 ),
inference(rat,[],[s197,s895]) ).
cnf(s909,plain,
( spl48_132
| spl48_133
| spl48_165
| spl48_225 ),
inference(rat,[],[s186,s891]) ).
cnf(s913,plain,
( spl48_125
| spl48_197
| spl48_198
| spl48_199 ),
inference(rat,[],[s169,s898]) ).
cnf(s914,plain,
( spl48_130
| spl48_163
| spl48_190
| spl48_191 ),
inference(rat,[],[s166,s894]) ).
cnf(s915,plain,
( spl48_119
| spl48_120
| spl48_123
| spl48_126 ),
inference(rat,[],[s165,s896]) ).
cnf(s916,plain,
( spl48_107
| spl48_184
| spl48_185
| spl48_186 ),
inference(rat,[],[s163,s897]) ).
cnf(s919,plain,
( spl48_108
| spl48_153
| spl48_154
| spl48_155 ),
inference(rat,[],[s154,s896]) ).
cnf(s921,plain,
~ spl48_169,
inference(rat,[],[s505,s151]) ).
cnf(s922,plain,
spl48_158,
inference(rat,[],[s504,s151]) ).
cnf(s923,plain,
~ spl48_179,
inference(rat,[],[s429,s151]) ).
cnf(s924,plain,
~ spl48_173,
inference(rat,[],[s407,s151]) ).
cnf(s925,plain,
~ spl48_165,
inference(rat,[],[s385,s151]) ).
cnf(s927,plain,
spl48_176,
inference(rat,[],[s342,s151]) ).
cnf(s928,plain,
~ spl48_168,
inference(rat,[],[s341,s151]) ).
cnf(s929,plain,
~ spl48_171,
inference(rat,[],[s339,s151]) ).
cnf(s930,plain,
~ spl48_170,
inference(rat,[],[s338,s151]) ).
cnf(s931,plain,
~ spl48_108,
inference(rat,[],[s332,s151]) ).
cnf(s932,plain,
~ spl48_117,
inference(rat,[],[s247,s151]) ).
cnf(s933,plain,
~ spl48_111,
inference(rat,[],[s245,s151]) ).
cnf(s934,plain,
~ spl48_88,
inference(rat,[],[s641,s927,s921]) ).
cnf(s935,plain,
~ spl48_223,
inference(rat,[],[s622,s922]) ).
cnf(s936,plain,
~ spl48_159,
inference(rat,[],[s558,s922]) ).
cnf(s937,plain,
~ spl48_123,
inference(rat,[],[s541,s922]) ).
cnf(s938,plain,
~ spl48_124,
inference(rat,[],[s467,s922]) ).
cnf(s939,plain,
~ spl48_112,
inference(rat,[],[s466,s922]) ).
cnf(s940,plain,
~ spl48_157,
inference(rat,[],[s450,s922]) ).
cnf(s943,plain,
~ spl48_154,
inference(rat,[],[s509,s927]) ).
cnf(s944,plain,
~ spl48_201,
inference(rat,[],[s506,s927]) ).
cnf(s945,plain,
~ spl48_232,
inference(rat,[],[s434,s927]) ).
cnf(s946,plain,
~ spl48_144,
inference(rat,[],[s400,s927]) ).
cnf(s947,plain,
~ spl48_175,
inference(rat,[],[s395,s927]) ).
cnf(s949,plain,
~ spl48_49,
inference(rat,[],[s149,s946]) ).
cnf(s950,plain,
~ spl48_46,
inference(rat,[],[s140,s932]) ).
cnf(s951,plain,
~ spl48_45,
inference(rat,[],[s138,s946]) ).
cnf(s952,plain,
~ spl48_42,
inference(rat,[],[s129,s938]) ).
cnf(s953,plain,
~ spl48_37,
inference(rat,[],[s113,s894]) ).
cnf(s954,plain,
~ spl48_36,
inference(rat,[],[s110,s933]) ).
cnf(s955,plain,
~ spl48_34,
inference(rat,[],[s104,s938]) ).
cnf(s956,plain,
~ spl48_33,
inference(rat,[],[s102,s894]) ).
cnf(s957,plain,
~ spl48_31,
inference(rat,[],[s95,s931]) ).
cnf(s958,plain,
~ spl48_30,
inference(rat,[],[s93,s932]) ).
cnf(s959,plain,
~ spl48_28,
inference(rat,[],[s87,s933]) ).
cnf(s960,plain,
~ spl48_27,
inference(rat,[],[s84,s931]) ).
cnf(s961,plain,
~ spl48_16,
inference(rat,[],[s53,s934]) ).
cnf(s962,plain,
( spl48_26
| spl48_29
| spl48_32
| spl48_35
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_43
| spl48_44
| spl48_47
| spl48_48
| spl48_50 ),
inference(rat,[],[s6,s949,s950,s951,s952,s953,s954,s955,s956,s957,s958,s959,s960]) ).
cnf(s964,plain,
( spl48_26
| spl48_29
| spl48_32
| spl48_35
| spl48_38
| spl48_39
| spl48_40
| spl48_41
| spl48_43
| spl48_44
| spl48_47
| spl48_48
| ~ spl48_50 ),
inference(rat,[],[s4,s949,s950,s951,s952,s953,s954,s955,s956,s957,s958,s959,s960]) ).
cnf(s965,plain,
( spl48_2
| spl48_3
| spl48_4
| spl48_5
| spl48_6
| spl48_8
| spl48_9
| spl48_10
| spl48_11
| spl48_12
| spl48_14
| spl48_15
| spl48_17
| spl48_18
| spl48_20
| spl48_21
| spl48_22
| spl48_23
| spl48_24 ),
inference(rat,[],[s3,s63,s961,s45,s27,s9]) ).
cnf(s968,plain,
( spl48_48
| spl48_47
| spl48_44
| spl48_43
| spl48_29
| spl48_35
| spl48_26
| spl48_38
| spl48_40
| spl48_32
| spl48_39
| spl48_41 ),
inference(rat,[],[s962,s964]) ).
cnf(s969,plain,
~ spl48_48,
inference(rat,[],[s907,s460,s552,s267,s145,s147,s945]) ).
cnf(s970,plain,
( ~ spl48_47
| ~ spl48_104 ),
inference(rat,[],[s616,s908,s168,s589,s651,s814,s366,s552,s564,s582,s692,s907,s460,s256,s255,s345,s143,s144,s930,s945]) ).
cnf(s971,plain,
~ spl48_44,
inference(rat,[],[s133,s135]) ).
cnf(s972,plain,
( ~ spl48_233
| spl48_96 ),
inference(rat,[],[s784,s458,s459]) ).
cnf(s973,plain,
~ spl48_24,
inference(rat,[],[s968,s81,s89,s99,s108,s254,s256,s168,s616,s914,s115,s120,s126,s681,s557,s123,s609,s161,s909,s226,s235,s283,s682,s651,s594,s602,s814,s321,s686,s205,s130,s366,s552,s553,s559,s562,s564,s582,s586,s635,s692,s907,s972,s970,s77,s78,s969,s971,s930,s932,s923,s925,s935,s940,s929,s945]) ).
cnf(s974,plain,
( ~ spl48_233
| spl48_86 ),
inference(rat,[],[s888,s457,s818]) ).
cnf(s975,plain,
spl48_86,
inference(rat,[],[s628,s552,s553,s907,s974,s945]) ).
cnf(s976,plain,
~ spl48_23,
inference(rat,[],[s75,s975]) ).
cnf(s977,plain,
~ spl48_15,
inference(rat,[],[s51,s975]) ).
cnf(s978,plain,
( ~ spl48_233
| spl48_75 ),
inference(rat,[],[s195,s255,s886,s783,s460,s475,s501,s818,s935]) ).
cnf(s979,plain,
~ spl48_22,
inference(rat,[],[s968,s89,s126,s610,s193,s670,s597,s916,s516,s915,s99,s108,s143,s647,s548,s254,s256,s472,s81,s185,s190,s576,s168,s123,s235,s612,s283,s632,s903,s120,s814,s115,s321,s205,s130,s366,s653,s551,s552,s559,s560,s562,s564,s582,s586,s635,s692,s907,s978,s646,s71,s72,s969,s971,s937,s938,s943,s923,s946,s930,s928,s947,s940,s929,s945,s944]) ).
cnf(s980,plain,
~ spl48_21,
inference(rat,[],[s792,s902,s207,s478,s482,s460,s474,s907,s560,s919,s639,s68,s69,s921,s936,s924,s945,s943,s931,s892]) ).
cnf(s981,plain,
~ spl48_20,
inference(rat,[],[s674,s185,s190,s612,s283,s653,s551,s552,s564,s692,s907,s972,s64,s66,s938,s943,s923,s946,s945]) ).
cnf(s982,plain,
~ spl48_38,
inference(rat,[],[s115,s117]) ).
cnf(s983,plain,
~ spl48_32,
inference(rat,[],[s97,s99]) ).
cnf(s984,plain,
( ~ spl48_233
| ~ spl48_92 ),
inference(rat,[],[s968,s120,s131,s794,s889,s185,s81,s89,s126,s767,s233,s615,s195,s144,s207,s909,s121,s572,s255,s482,s106,s647,s779,s783,s457,s460,s474,s475,s501,s818,s969,s971,s982,s983,s938,s943,s935,s936,s924,s925]) ).
cnf(s985,plain,
~ spl48_18,
inference(rat,[],[s643,s582,s692,s907,s984,s59,s60,s945]) ).
cnf(s986,plain,
( ~ spl48_233
| spl48_182 ),
inference(rat,[],[s767,s219,s195,s759,s367,s255,s157,s783,s810,s458,s460,s474,s475,s818,s944,s935,s933,s925]) ).
cnf(s987,plain,
~ spl48_17,
inference(rat,[],[s219,s642,s612,s814,s366,s551,s582,s692,s907,s986,s882,s55,s56,s944,s945,s922]) ).
cnf(s988,plain,
( ~ spl48_233
| spl48_207 ),
inference(rat,[],[s968,s120,s131,s794,s905,s300,s81,s173,s761,s233,s530,s161,s89,s126,s144,s207,s681,s425,s295,s323,s121,s255,s482,s157,s919,s106,s662,s810,s986,s457,s460,s474,s475,s501,s818,s969,s971,s982,s983,s932,s923,s936,s924,s933,s925,s943,s931]) ).
cnf(s989,plain,
~ spl48_14,
inference(rat,[],[s643,s582,s692,s907,s988,s890,s47,s48,s945,s925]) ).
cnf(s990,plain,
( ~ spl48_233
| ~ spl48_79 ),
inference(rat,[],[s822,s214,s759,s538,s323,s364,s157,s919,s810,s885,s986,s457,s474,s475,s818,s825,s933,s925,s943,s931]) ).
cnf(s991,plain,
~ spl48_12,
inference(rat,[],[s608,s182,s192,s295,s373,s162,s672,s601,s646,s913,s168,s248,s254,s915,s647,s548,s879,s185,s190,s161,s575,s577,s352,s402,s568,s640,s612,s283,s682,s903,s643,s448,s814,s205,s366,s653,s551,s552,s553,s559,s560,s564,s582,s635,s654,s692,s907,s990,s41,s42,s939,s944,s930,s937,s938,s943,s923,s946,s932,s928,s947,s940,s929,s945]) ).
cnf(s992,plain,
( ~ spl48_233
| spl48_76 ),
inference(rat,[],[s529,s916,s207,s887,s327,s604,s482,s919,s988,s986,s460,s474,s475,s936,s924,s943,s931]) ).
cnf(s993,plain,
~ spl48_11,
inference(rat,[],[s405,s903,s205,s559,s560,s635,s907,s992,s37,s39,s928,s947,s940,s929,s945]) ).
cnf(s995,plain,
( spl48_125
| spl48_75 ),
inference(rat,[],[s644,s913,s168,s654,s366,s692,s814,s448,s582,s907,s978,s930,s945]) ).
cnf(s996,plain,
~ spl48_10,
inference(rat,[],[s516,s915,s916,s254,s472,s995,s647,s548,s671,s185,s190,s161,s612,s283,s682,s653,s551,s552,s553,s564,s635,s692,s907,s978,s34,s36,s937,s938,s943,s923,s946,s932,s945]) ).
cnf(s997,plain,
( ~ spl48_233
| spl48_203 ),
inference(rat,[],[s904,s327,s499,s988,s459,s937]) ).
cnf(s998,plain,
spl48_203,
inference(rat,[],[s283,s190,s552,s564,s907,s997,s923,s946,s945]) ).
cnf(s1000,plain,
~ spl48_71,
inference(rat,[],[s614,s935,s998]) ).
cnf(s1001,plain,
~ spl48_185,
inference(rat,[],[s548,s998]) ).
cnf(s1002,plain,
~ spl48_198,
inference(rat,[],[s456,s998]) ).
cnf(s1003,plain,
~ spl48_59,
inference(rat,[],[s638,s922,s998]) ).
cnf(s1004,plain,
~ spl48_9,
inference(rat,[],[s32,s1000]) ).
cnf(s1005,plain,
( ~ spl48_233
| spl48_67 ),
inference(rat,[],[s529,s916,s207,s881,s604,s482,s157,s810,s986,s460,s474,s818,s1001,s936,s924,s933,s925]) ).
cnf(s1006,plain,
~ spl48_8,
inference(rat,[],[s608,s182,s192,s295,s373,s162,s672,s601,s646,s913,s168,s248,s254,s915,s647,s879,s185,s161,s575,s577,s352,s402,s568,s640,s612,s682,s903,s643,s814,s205,s366,s653,s551,s553,s559,s560,s582,s635,s654,s692,s907,s1005,s28,s30,s939,s1001,s944,s1002,s930,s937,s938,s943,s932,s923,s928,s947,s940,s929,s945]) ).
cnf(s1007,plain,
~ spl48_6,
inference(rat,[],[s157,s810,s474,s818,s907,s560,s599,s781,s23,s24,s933,s925,s945,s228]) ).
cnf(s1008,plain,
( ~ spl48_233
| spl48_63 ),
inference(rat,[],[s792,s902,s207,s478,s482,s460,s474,s475,s921,s936,s924]) ).
cnf(s1009,plain,
~ spl48_5,
inference(rat,[],[s207,s402,s593,s682,s205,s553,s559,s635,s907,s1008,s20,s21,s936,s924,s940,s929,s945]) ).
cnf(s1010,plain,
~ spl48_4,
inference(rat,[],[s17,s1003]) ).
cnf(s1011,plain,
( ~ spl48_233
| ~ spl48_56 ),
inference(rat,[],[s161,s681,s482,s157,s799,s810,s460,s474,s818,s932,s923,s933,s925]) ).
cnf(s1012,plain,
~ spl48_3,
inference(rat,[],[s405,s903,s205,s559,s560,s635,s907,s1011,s14,s15,s928,s947,s940,s929,s945]) ).
cnf(s1013,plain,
spl48_2,
inference(rat,[],[s965,s973,s979,s981,s987,s993,s977,s989,s991,s1004,s1010,s1006,s1007,s996,s985,s980,s976,s1009,s1012]) ).
cnf(s1014,plain,
~ spl48_54,
inference(rat,[],[s12,s1013]) ).
cnf(s1016,plain,
~ spl48_52,
inference(rat,[],[s10,s1013]) ).
cnf(s1017,plain,
~ spl48_163,
inference(rat,[],[s781,s228,s1014]) ).
cnf(s1018,plain,
~ spl48_233,
inference(rat,[],[s157,s810,s474,s818,s933,s925,s1017]) ).
cnf(s1019,plain,
spl48_231,
inference(rat,[],[s907,s945,s1018]) ).
cnf(s1022,plain,
~ spl48_178,
inference(rat,[],[s635,s1019]) ).
cnf(s1026,plain,
~ spl48_153,
inference(rat,[],[s560,s1019]) ).
cnf(s1028,plain,
spl48_220,
inference(rat,[],[s553,s1019]) ).
cnf(s1048,plain,
spl48_155,
inference(rat,[],[s919,s931,s943,s1026]) ).
cnf(s1051,plain,
~ spl48_180,
inference(rat,[],[s682,s1028]) ).
cnf(s1075,plain,
~ spl48_177,
inference(rat,[],[s451,s1016,s1048]) ).
cnf(s1079,plain,
$false,
inference(rat,[],[s161,s1022,s923,s932,s1051,s1075]) ).
fof(f5741,plain,
$false,
inference(avatar_sat_refutation,[],[s1079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:27:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/0.43 % (4171495)Will run a generic schedule for satisfiability detection.
% 0.92/0.43 % (4171503)dis+10_1_sil=32000:sp=arity:random_seed=3647244243:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.92/0.43 % (4171501)% WARNING: option uhcvi not known.
% 0.92/0.43 % (4171500)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=328089337_2999 on theBenchmark for (2999ds/0Mi)
% 0.92/0.43 % (4171501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=755245189:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.92/0.43 % (4171502)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=455840394:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.92/0.43 % (4171504)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=766337088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.92/0.43 % (4171506)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=326557565:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.92/0.43 % (4171505)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2027681012:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.43 % (4171503)Instruction limit reached!
% 0.92/0.43 % (4171503)------------------------------
% 0.92/0.43 % (4171503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.43 % (4171503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.43 % (4171503)CaDiCaL version: 2.1.3
% 0.92/0.43 % (4171503)Termination reason: Instruction limit
% 0.92/0.43 % (4171503)Termination phase: Saturation
% 0.92/0.43 % (4171503)Time elapsed: 0.030 s
% 0.92/0.43 % (4171503)Peak memory usage: 12 MB
% 0.92/0.43 % (4171503)Instructions burned: 103 (million)
% 0.92/0.43 % Detected minimum model sizes of [5]
% 0.92/0.43 % Detected maximum model sizes of [max]
% 0.92/0.43 % TRYING [5]
% 0.92/0.43 % (4171514)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2005050669:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.92/0.43 % Detected minimum model sizes of [5]
% 0.92/0.43 % Detected maximum model sizes of [max]
% 0.92/0.43 % TRYING [5]
% 0.92/0.43 % TRYING [6]
% 0.92/0.43 % TRYING [6]
% 0.92/0.43 % (4171504)Instruction limit reached!
% 0.92/0.43 % (4171504)------------------------------
% 0.92/0.43 % (4171504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.43 % (4171504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.43 % (4171504)CaDiCaL version: 2.1.3
% 0.92/0.43 % (4171504)Termination reason: Instruction limit
% 0.92/0.43 % (4171504)Termination phase: Saturation
% 0.92/0.43 % (4171504)Time elapsed: 0.061 s
% 0.92/0.43 % (4171504)Peak memory usage: 13 MB
% 0.92/0.43 % (4171504)Instructions burned: 117 (million)
% 0.92/0.43 % (4171505)Instruction limit reached!
% 0.92/0.43 % (4171505)------------------------------
% 0.92/0.43 % (4171505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.43 % (4171505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.43 % (4171505)CaDiCaL version: 2.1.3
% 0.92/0.43 % (4171505)Termination reason: Instruction limit
% 0.92/0.43 % (4171505)Termination phase: Saturation
% 0.92/0.43 % (4171505)Time elapsed: 0.068 s
% 0.92/0.43 % (4171505)Peak memory usage: 13 MB
% 0.92/0.43 % (4171505)Instructions burned: 134 (million)
% 0.92/0.43 % TRYING [7]
% 0.92/0.43 % TRYING [7]
% 0.92/0.43 % (4171516)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2889045881:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.92/0.43 % (4171506)Instruction limit reached!
% 0.92/0.43 % (4171506)------------------------------
% 0.92/0.43 % (4171506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.43 % (4171506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.43 % (4171506)CaDiCaL version: 2.1.3
% 0.92/0.43 % (4171506)Termination reason: Instruction limit
% 0.92/0.43 % (4171506)Termination phase: Saturation
% 0.92/0.43 % (4171506)Time elapsed: 0.087 s
% 0.92/0.43 % (4171506)Peak memory usage: 14 MB
% 0.92/0.43 % (4171506)Instructions burned: 160 (million)
% 0.92/0.43 % (4171517)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3543283518:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.92/0.43 % TRYING [8]
% 0.92/0.43 % (4171520)ott-21_1_sil=16000:fs=off:random_seed=3700368229:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.92/0.43 % TRYING [8]
% 0.92/0.43 % TRYING [9]
% 0.92/0.43 % (4171516) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4171495-4171516"...
% 0.92/0.43 % (4171502) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4171495-4171502"...
% 0.92/0.43 % (4171514)Instruction limit reached!
% 0.92/0.43 % (4171514)------------------------------
% 0.92/0.43 % (4171514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.43 % (4171514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.43 % (4171514)CaDiCaL version: 2.1.3
% 0.92/0.43 % (4171514)Termination reason: Instruction limit
% 0.92/0.43 % (4171514)Termination phase: Finite model building constraint generation
% 0.92/0.43 % (4171514)Time elapsed: 0.129 s
% 0.92/0.43 % (4171514)Peak memory usage: 20 MB
% 0.92/0.43 % (4171514)Instructions burned: 718 (million)
% 0.92/0.43 % (4171516)...printing done.
% 0.92/0.43 % (4171516)Refutation found. Thanks to Tanya!
% 0.92/0.43 % SZS status Theorem for theBenchmark
% 0.92/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.45 % (4171516)------------------------------
% 0.92/0.45 % (4171516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (4171516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (4171516)CaDiCaL version: 2.1.3
% 0.92/0.45 % (4171516)Termination reason: Refutation
% 0.92/0.45 % (4171516)Time elapsed: 0.079 s
% 0.92/0.45 % (4171516)Peak memory usage: 14 MB
% 0.92/0.45 % (4171516)Instructions burned: 159 (million)
% 0.92/0.45 % (4171495)Success in time 0.206 s
% 0.92/0.45 % Vampire exiting
%------------------------------------------------------------------------------