%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG064+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:09:27 AM UTC 2026
% Result : Theorem 4.00s 1.28s
% Output : Refutation 4.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 213
% Syntax : Number of formulae : 1751 ( 84 unt; 207 def)
% Number of atoms : 5678 (1745 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 6568 (2641 ~;3381 |; 363 &)
% ( 183 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 209 ( 207 usr; 208 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax3) ).
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/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( 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,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(f35,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(f36,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(f37,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(f38,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(f39,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(f40,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(f41,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(f42,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(f43,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(f44,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(f45,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(f46,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(f47,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(f48,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(f49,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(f50,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(f51,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(f52,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(f53,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(f54,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(f55,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(f56,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(f57,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(f58,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(f60,plain,
( e0 = op(op(e0,e1),e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
( e0 = op(op(e0,e2),e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
( e3 != op(op(e0,e3),e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f69,plain,
( e0 = op(op(e0,e4),e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
( e1 = op(op(e1,e0),e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f76,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f78,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f82,plain,
( op(e1,e3) != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f84,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f85,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f87,plain,
( e2 = op(op(e2,e0),e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f88,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f94,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
( e2 = op(op(e2,e3),e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f97,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f98,plain,
( e4 != op(op(e2,e4),e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f99,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f100,plain,
( op(e2,e4) != op(e4,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f101,plain,
( e0 != op(op(e3,e0),e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f103,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f105,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f108,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f109,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f112,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f114,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f115,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f117,plain,
( e4 = op(op(e4,e0),e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f118,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f119,plain,
( e1 != op(op(e4,e1),e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f120,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f123,plain,
( e4 = op(op(e4,e2),e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f126,plain,
( e4 = op(op(e4,e3),e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f130,plain,
( op(e4,e4) != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f133,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,[],[f34]) ).
fof(f135,plain,
( op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f136,plain,
( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| e2 = op(e3,e3)
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f137,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f138,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f139,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f141,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f142,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f143,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f145,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f149,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f255,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(f256,plain,
( e3 = op(e4,e0)
| e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e3)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f258,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(f259,plain,
( e1 = op(e0,e4)
| e1 = op(e1,e4)
| e1 = op(e2,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
( e1 = op(e4,e0)
| e1 = op(e4,e1)
| e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f261,plain,
( e0 = op(e0,e4)
| e0 = op(e1,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f262,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(f263,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(f266,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(f267,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(f268,plain,
( e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f270,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(f271,plain,
( e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f272,plain,
( e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f273,plain,
( e4 = op(e0,e2)
| e4 = op(e1,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f274,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(f275,plain,
( e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f276,plain,
( e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3)
| e3 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f279,plain,
( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f280,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f282,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f285,plain,
( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1)
| e3 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f286,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(f287,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(f288,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f291,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(f293,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(f295,plain,
( op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f296,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(f297,plain,
( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f299,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f300,plain,
( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e3)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f301,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f303,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f306,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f307,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f308,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f309,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
( e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f318,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(f319,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f339,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,[],[f133]) ).
fof(f340,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f130]) ).
fof(f341,plain,
~ sP6,
inference(trivial_inequality_removal,[],[f112]) ).
fof(f342,plain,
~ sP12,
inference(trivial_inequality_removal,[],[f94]) ).
fof(f343,plain,
~ sP18,
inference(trivial_inequality_removal,[],[f76]) ).
fof(f345,definition,
( spl24_1
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f347,plain,
( e4 = op(e4,e4)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,definition,
( spl24_2
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f351,plain,
( e3 = op(e4,e4)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl24_3
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f355,plain,
( e2 = op(e4,e4)
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f357,definition,
( spl24_4
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f359,plain,
( e1 = op(e4,e4)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl24_5
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
fof(f363,plain,
( e0 = op(e4,e4)
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5 ),
inference(avatar_split_clause,[],[f314,f361,f357,f353,f349,f345]) ).
fof(f366,definition,
( spl24_6
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_6])],[avatar_definition]) ).
fof(f367,plain,
( e4 != op(e4,e3)
| spl24_6 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( e4 = op(e4,e3)
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl24_7
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_7])],[avatar_definition]) ).
fof(f372,plain,
( e3 = op(e4,e3)
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f374,definition,
( spl24_8
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_8])],[avatar_definition]) ).
fof(f375,plain,
( e2 != op(e4,e3)
| spl24_8 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( e2 = op(e4,e3)
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,definition,
( spl24_9
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
fof(f380,plain,
( e1 = op(e4,e3)
| ~ spl24_9 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl24_10
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f384,plain,
( e0 = op(e4,e3)
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f387,definition,
( spl24_11
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f389,plain,
( e4 = op(e4,e2)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl24_12
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
fof(f392,plain,
( e3 != op(e4,e2)
| spl24_12 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( e3 = op(e4,e2)
| ~ spl24_12 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f395,definition,
( spl24_13
<=> e2 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
fof(f397,plain,
( e2 = op(e4,e2)
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f399,definition,
( spl24_14
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f401,plain,
( e1 = op(e4,e2)
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl24_15
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
fof(f405,plain,
( e0 = op(e4,e2)
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f412,definition,
( spl24_17
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_17])],[avatar_definition]) ).
fof(f414,plain,
( e3 = op(e4,e1)
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl24_18
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_18])],[avatar_definition]) ).
fof(f418,plain,
( e2 = op(e4,e1)
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl24_19
<=> e1 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
fof(f422,plain,
( e1 = op(e4,e1)
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl24_20
<=> e0 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
fof(f426,plain,
( e0 = op(e4,e1)
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f429,definition,
( spl24_21
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_21])],[avatar_definition]) ).
fof(f431,plain,
( e4 = op(e4,e0)
| ~ spl24_21 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,definition,
( spl24_22
<=> e3 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_22])],[avatar_definition]) ).
fof(f435,plain,
( e3 = op(e4,e0)
| ~ spl24_22 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl24_23
<=> e2 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_23])],[avatar_definition]) ).
fof(f438,plain,
( e2 != op(e4,e0)
| spl24_23 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( e2 = op(e4,e0)
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl24_24
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_24])],[avatar_definition]) ).
fof(f443,plain,
( e1 = op(e4,e0)
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,definition,
( spl24_25
<=> e0 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_25])],[avatar_definition]) ).
fof(f447,plain,
( e0 = op(e4,e0)
| ~ spl24_25 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f448,plain,
( spl24_21
| spl24_22
| spl24_23
| spl24_24
| spl24_25 ),
inference(avatar_split_clause,[],[f318,f445,f441,f437,f433,f429]) ).
fof(f450,definition,
( spl24_26
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_26])],[avatar_definition]) ).
fof(f452,plain,
( e4 = op(e3,e4)
| ~ spl24_26 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl24_27
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_27])],[avatar_definition]) ).
fof(f456,plain,
( e3 = op(e3,e4)
| ~ spl24_27 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl24_28
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_28])],[avatar_definition]) ).
fof(f460,plain,
( e2 = op(e3,e4)
| ~ spl24_28 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f462,definition,
( spl24_29
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_29])],[avatar_definition]) ).
fof(f463,plain,
( e1 != op(e3,e4)
| spl24_29 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( e1 = op(e3,e4)
| ~ spl24_29 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f466,definition,
( spl24_30
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_30])],[avatar_definition]) ).
fof(f468,plain,
( e0 = op(e3,e4)
| ~ spl24_30 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,plain,
( spl24_26
| spl24_27
| spl24_28
| spl24_29
| spl24_30 ),
inference(avatar_split_clause,[],[f319,f466,f462,f458,f454,f450]) ).
fof(f471,definition,
( spl24_31
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_31])],[avatar_definition]) ).
fof(f473,plain,
( e4 = op(e3,e3)
| ~ spl24_31 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f475,definition,
( spl24_32
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_32])],[avatar_definition]) ).
fof(f477,plain,
( e3 = op(e3,e3)
| ~ spl24_32 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f479,definition,
( spl24_33
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).
fof(f481,plain,
( e2 = op(e3,e3)
| ~ spl24_33 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl24_34
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_34])],[avatar_definition]) ).
fof(f485,plain,
( e1 = op(e3,e3)
| ~ spl24_34 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f487,definition,
( spl24_35
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).
fof(f489,plain,
( e0 = op(e3,e3)
| ~ spl24_35 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f492,definition,
( spl24_36
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_36])],[avatar_definition]) ).
fof(f494,plain,
( e4 = op(e3,e2)
| ~ spl24_36 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f496,definition,
( spl24_37
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_37])],[avatar_definition]) ).
fof(f498,plain,
( e3 = op(e3,e2)
| ~ spl24_37 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f500,definition,
( spl24_38
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_38])],[avatar_definition]) ).
fof(f501,plain,
( e2 != op(e3,e2)
| spl24_38 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( e2 = op(e3,e2)
| ~ spl24_38 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f504,definition,
( spl24_39
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).
fof(f506,plain,
( e1 = op(e3,e2)
| ~ spl24_39 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl24_40
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_40])],[avatar_definition]) ).
fof(f510,plain,
( e0 = op(e3,e2)
| ~ spl24_40 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f513,definition,
( spl24_41
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).
fof(f514,plain,
( e4 != op(e3,e1)
| spl24_41 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( e4 = op(e3,e1)
| ~ spl24_41 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f517,definition,
( spl24_42
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_42])],[avatar_definition]) ).
fof(f519,plain,
( e3 = op(e3,e1)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f521,definition,
( spl24_43
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_43])],[avatar_definition]) ).
fof(f523,plain,
( e2 = op(e3,e1)
| ~ spl24_43 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f525,definition,
( spl24_44
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_44])],[avatar_definition]) ).
fof(f526,plain,
( e1 != op(e3,e1)
| spl24_44 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( e1 = op(e3,e1)
| ~ spl24_44 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl24_45
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_45])],[avatar_definition]) ).
fof(f531,plain,
( e0 = op(e3,e1)
| ~ spl24_45 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f534,definition,
( spl24_46
<=> e4 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_46])],[avatar_definition]) ).
fof(f536,plain,
( e4 = op(e3,e0)
| ~ spl24_46 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl24_47
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_47])],[avatar_definition]) ).
fof(f540,plain,
( e3 = op(e3,e0)
| ~ spl24_47 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f542,definition,
( spl24_48
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_48])],[avatar_definition]) ).
fof(f544,plain,
( e2 = op(e3,e0)
| ~ spl24_48 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,definition,
( spl24_49
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_49])],[avatar_definition]) ).
fof(f548,plain,
( e1 = op(e3,e0)
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f550,definition,
( spl24_50
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_50])],[avatar_definition]) ).
fof(f552,plain,
( e0 = op(e3,e0)
| ~ spl24_50 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f555,definition,
( spl24_51
<=> e4 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_51])],[avatar_definition]) ).
fof(f557,plain,
( e4 = op(e2,e4)
| ~ spl24_51 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl24_52
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_52])],[avatar_definition]) ).
fof(f561,plain,
( e3 = op(e2,e4)
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f567,definition,
( spl24_54
<=> e1 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_54])],[avatar_definition]) ).
fof(f569,plain,
( e1 = op(e2,e4)
| ~ spl24_54 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f571,definition,
( spl24_55
<=> e0 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_55])],[avatar_definition]) ).
fof(f573,plain,
( e0 = op(e2,e4)
| ~ spl24_55 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f576,definition,
( spl24_56
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_56])],[avatar_definition]) ).
fof(f578,plain,
( e4 = op(e2,e3)
| ~ spl24_56 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl24_57
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_57])],[avatar_definition]) ).
fof(f582,plain,
( e3 = op(e2,e3)
| ~ spl24_57 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f584,definition,
( spl24_58
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_58])],[avatar_definition]) ).
fof(f586,plain,
( e2 = op(e2,e3)
| ~ spl24_58 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f588,definition,
( spl24_59
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_59])],[avatar_definition]) ).
fof(f590,plain,
( e1 = op(e2,e3)
| ~ spl24_59 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f592,definition,
( spl24_60
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_60])],[avatar_definition]) ).
fof(f594,plain,
( e0 = op(e2,e3)
| ~ spl24_60 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f597,definition,
( spl24_61
<=> e4 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_61])],[avatar_definition]) ).
fof(f599,plain,
( e4 = op(e2,e2)
| ~ spl24_61 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f601,definition,
( spl24_62
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_62])],[avatar_definition]) ).
fof(f603,plain,
( e3 = op(e2,e2)
| ~ spl24_62 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f605,definition,
( spl24_63
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_63])],[avatar_definition]) ).
fof(f607,plain,
( e2 = op(e2,e2)
| ~ spl24_63 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f609,definition,
( spl24_64
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_64])],[avatar_definition]) ).
fof(f611,plain,
( e1 = op(e2,e2)
| ~ spl24_64 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f613,definition,
( spl24_65
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_65])],[avatar_definition]) ).
fof(f615,plain,
( e0 = op(e2,e2)
| ~ spl24_65 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f618,definition,
( spl24_66
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_66])],[avatar_definition]) ).
fof(f620,plain,
( e4 = op(e2,e1)
| ~ spl24_66 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f622,definition,
( spl24_67
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_67])],[avatar_definition]) ).
fof(f624,plain,
( e3 = op(e2,e1)
| ~ spl24_67 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f626,definition,
( spl24_68
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_68])],[avatar_definition]) ).
fof(f628,plain,
( e2 = op(e2,e1)
| ~ spl24_68 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl24_69
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_69])],[avatar_definition]) ).
fof(f632,plain,
( e1 = op(e2,e1)
| ~ spl24_69 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl24_70
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_70])],[avatar_definition]) ).
fof(f636,plain,
( e0 = op(e2,e1)
| ~ spl24_70 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f639,definition,
( spl24_71
<=> e4 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_71])],[avatar_definition]) ).
fof(f641,plain,
( e4 = op(e2,e0)
| ~ spl24_71 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl24_72
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_72])],[avatar_definition]) ).
fof(f645,plain,
( e3 = op(e2,e0)
| ~ spl24_72 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl24_73
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_73])],[avatar_definition]) ).
fof(f649,plain,
( e2 = op(e2,e0)
| ~ spl24_73 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,definition,
( spl24_74
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_74])],[avatar_definition]) ).
fof(f653,plain,
( e1 = op(e2,e0)
| ~ spl24_74 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f655,definition,
( spl24_75
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_75])],[avatar_definition]) ).
fof(f657,plain,
( e0 = op(e2,e0)
| ~ spl24_75 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f664,definition,
( spl24_77
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl24_77])],[avatar_definition]) ).
fof(f666,plain,
( e3 = op(e1,e4)
| ~ spl24_77 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f668,definition,
( spl24_78
<=> e2 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl24_78])],[avatar_definition]) ).
fof(f670,plain,
( e2 = op(e1,e4)
| ~ spl24_78 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f672,definition,
( spl24_79
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl24_79])],[avatar_definition]) ).
fof(f674,plain,
( e1 = op(e1,e4)
| ~ spl24_79 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f676,definition,
( spl24_80
<=> e0 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl24_80])],[avatar_definition]) ).
fof(f678,plain,
( e0 = op(e1,e4)
| ~ spl24_80 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f681,definition,
( spl24_81
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl24_81])],[avatar_definition]) ).
fof(f683,plain,
( e4 = op(e1,e3)
| ~ spl24_81 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f685,definition,
( spl24_82
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl24_82])],[avatar_definition]) ).
fof(f687,plain,
( e3 = op(e1,e3)
| ~ spl24_82 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f689,definition,
( spl24_83
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl24_83])],[avatar_definition]) ).
fof(f691,plain,
( e2 = op(e1,e3)
| ~ spl24_83 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f693,definition,
( spl24_84
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl24_84])],[avatar_definition]) ).
fof(f695,plain,
( e1 = op(e1,e3)
| ~ spl24_84 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl24_85
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl24_85])],[avatar_definition]) ).
fof(f699,plain,
( e0 = op(e1,e3)
| ~ spl24_85 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f702,definition,
( spl24_86
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl24_86])],[avatar_definition]) ).
fof(f704,plain,
( e4 = op(e1,e2)
| ~ spl24_86 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f706,definition,
( spl24_87
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl24_87])],[avatar_definition]) ).
fof(f708,plain,
( e3 = op(e1,e2)
| ~ spl24_87 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f710,definition,
( spl24_88
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).
fof(f712,plain,
( e2 = op(e1,e2)
| ~ spl24_88 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f714,definition,
( spl24_89
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl24_89])],[avatar_definition]) ).
fof(f716,plain,
( e1 = op(e1,e2)
| ~ spl24_89 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f718,definition,
( spl24_90
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl24_90])],[avatar_definition]) ).
fof(f720,plain,
( e0 = op(e1,e2)
| ~ spl24_90 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f723,definition,
( spl24_91
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl24_91])],[avatar_definition]) ).
fof(f725,plain,
( e4 = op(e1,e1)
| ~ spl24_91 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f727,definition,
( spl24_92
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl24_92])],[avatar_definition]) ).
fof(f729,plain,
( e3 = op(e1,e1)
| ~ spl24_92 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f731,definition,
( spl24_93
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl24_93])],[avatar_definition]) ).
fof(f733,plain,
( e2 = op(e1,e1)
| ~ spl24_93 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f735,definition,
( spl24_94
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl24_94])],[avatar_definition]) ).
fof(f737,plain,
( e1 = op(e1,e1)
| ~ spl24_94 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f739,definition,
( spl24_95
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl24_95])],[avatar_definition]) ).
fof(f741,plain,
( e0 = op(e1,e1)
| ~ spl24_95 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f744,definition,
( spl24_96
<=> e4 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_96])],[avatar_definition]) ).
fof(f746,plain,
( e4 = op(e1,e0)
| ~ spl24_96 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f748,definition,
( spl24_97
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_97])],[avatar_definition]) ).
fof(f750,plain,
( e3 = op(e1,e0)
| ~ spl24_97 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f752,definition,
( spl24_98
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_98])],[avatar_definition]) ).
fof(f754,plain,
( e2 = op(e1,e0)
| ~ spl24_98 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f756,definition,
( spl24_99
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_99])],[avatar_definition]) ).
fof(f758,plain,
( e1 = op(e1,e0)
| ~ spl24_99 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f760,definition,
( spl24_100
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_100])],[avatar_definition]) ).
fof(f762,plain,
( e0 = op(e1,e0)
| ~ spl24_100 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f765,definition,
( spl24_101
<=> e4 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl24_101])],[avatar_definition]) ).
fof(f766,plain,
( e4 != op(e0,e4)
| spl24_101 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( e4 = op(e0,e4)
| ~ spl24_101 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f769,definition,
( spl24_102
<=> e3 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl24_102])],[avatar_definition]) ).
fof(f771,plain,
( e3 = op(e0,e4)
| ~ spl24_102 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f777,definition,
( spl24_104
<=> e1 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl24_104])],[avatar_definition]) ).
fof(f779,plain,
( e1 = op(e0,e4)
| ~ spl24_104 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f781,definition,
( spl24_105
<=> e0 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl24_105])],[avatar_definition]) ).
fof(f783,plain,
( e0 = op(e0,e4)
| ~ spl24_105 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f786,definition,
( spl24_106
<=> e4 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl24_106])],[avatar_definition]) ).
fof(f788,plain,
( e4 = op(e0,e3)
| ~ spl24_106 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f790,definition,
( spl24_107
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl24_107])],[avatar_definition]) ).
fof(f792,plain,
( e3 = op(e0,e3)
| ~ spl24_107 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f794,definition,
( spl24_108
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl24_108])],[avatar_definition]) ).
fof(f796,plain,
( e2 = op(e0,e3)
| ~ spl24_108 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f798,definition,
( spl24_109
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl24_109])],[avatar_definition]) ).
fof(f800,plain,
( e1 = op(e0,e3)
| ~ spl24_109 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl24_110
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl24_110])],[avatar_definition]) ).
fof(f803,plain,
( e0 != op(e0,e3)
| spl24_110 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( e0 = op(e0,e3)
| ~ spl24_110 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f807,definition,
( spl24_111
<=> e4 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl24_111])],[avatar_definition]) ).
fof(f809,plain,
( e4 = op(e0,e2)
| ~ spl24_111 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f811,definition,
( spl24_112
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl24_112])],[avatar_definition]) ).
fof(f813,plain,
( e3 = op(e0,e2)
| ~ spl24_112 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f815,definition,
( spl24_113
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl24_113])],[avatar_definition]) ).
fof(f817,plain,
( e2 = op(e0,e2)
| ~ spl24_113 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f819,definition,
( spl24_114
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl24_114])],[avatar_definition]) ).
fof(f821,plain,
( e1 = op(e0,e2)
| ~ spl24_114 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f832,definition,
( spl24_117
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl24_117])],[avatar_definition]) ).
fof(f834,plain,
( e3 = op(e0,e1)
| ~ spl24_117 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f836,definition,
( spl24_118
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl24_118])],[avatar_definition]) ).
fof(f838,plain,
( e2 = op(e0,e1)
| ~ spl24_118 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f840,definition,
( spl24_119
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl24_119])],[avatar_definition]) ).
fof(f842,plain,
( e1 = op(e0,e1)
| ~ spl24_119 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f844,definition,
( spl24_120
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl24_120])],[avatar_definition]) ).
fof(f846,plain,
( e0 = op(e0,e1)
| ~ spl24_120 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f849,definition,
( spl24_121
<=> op(e0,e0) = e4 ),
introduced(definition,[new_symbols(definition,[spl24_121])],[avatar_definition]) ).
fof(f851,plain,
( op(e0,e0) = e4
| ~ spl24_121 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f853,definition,
( spl24_122
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl24_122])],[avatar_definition]) ).
fof(f855,plain,
( op(e0,e0) = e3
| ~ spl24_122 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f857,definition,
( spl24_123
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl24_123])],[avatar_definition]) ).
fof(f859,plain,
( op(e0,e0) = e2
| ~ spl24_123 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f861,definition,
( spl24_124
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl24_124])],[avatar_definition]) ).
fof(f863,plain,
( op(e0,e0) = e1
| ~ spl24_124 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f865,definition,
( spl24_125
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl24_125])],[avatar_definition]) ).
fof(f867,plain,
( e0 = op(e0,e0)
| ~ spl24_125 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f870,definition,
( spl24_126
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl24_126])],[avatar_definition]) ).
fof(f872,plain,
( e4 = unit
| ~ spl24_126 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f874,definition,
( spl24_127
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl24_127])],[avatar_definition]) ).
fof(f876,plain,
( e3 = unit
| ~ spl24_127 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f878,definition,
( spl24_128
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl24_128])],[avatar_definition]) ).
fof(f880,plain,
( e2 = unit
| ~ spl24_128 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f882,definition,
( spl24_129
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl24_129])],[avatar_definition]) ).
fof(f884,plain,
( e1 = unit
| ~ spl24_129 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f886,definition,
( spl24_130
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl24_130])],[avatar_definition]) ).
fof(f888,plain,
( e0 = unit
| ~ spl24_130 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,plain,
( spl24_126
| spl24_127
| spl24_128
| spl24_129
| spl24_130 ),
inference(avatar_split_clause,[],[f303,f886,f882,f878,f874,f870]) ).
fof(f892,plain,
( spl24_2
| spl24_27
| spl24_52
| spl24_77
| spl24_102 ),
inference(avatar_split_clause,[],[f255,f769,f664,f559,f454,f349]) ).
fof(f893,plain,
( spl24_2
| spl24_7
| spl24_12
| spl24_17
| spl24_22 ),
inference(avatar_split_clause,[],[f256,f433,f412,f391,f370,f349]) ).
fof(f895,plain,
( spl24_3
| spl24_8
| spl24_13
| spl24_18
| spl24_23 ),
inference(avatar_split_clause,[],[f258,f437,f416,f395,f374,f353]) ).
fof(f896,plain,
( spl24_4
| spl24_29
| spl24_54
| spl24_79
| spl24_104 ),
inference(avatar_split_clause,[],[f259,f777,f672,f567,f462,f357]) ).
fof(f897,plain,
( spl24_4
| spl24_9
| spl24_14
| spl24_19
| spl24_24 ),
inference(avatar_split_clause,[],[f260,f441,f420,f399,f378,f357]) ).
fof(f898,plain,
( spl24_5
| spl24_30
| spl24_55
| spl24_80
| spl24_105 ),
inference(avatar_split_clause,[],[f261,f781,f676,f571,f466,f361]) ).
fof(f899,plain,
( spl24_5
| spl24_10
| spl24_15
| spl24_20
| spl24_25 ),
inference(avatar_split_clause,[],[f262,f445,f424,f403,f382,f361]) ).
fof(f900,plain,
( spl24_6
| spl24_31
| spl24_56
| spl24_81
| spl24_106 ),
inference(avatar_split_clause,[],[f263,f786,f681,f576,f471,f366]) ).
fof(f903,plain,
( spl24_27
| spl24_32
| spl24_37
| spl24_42
| spl24_47 ),
inference(avatar_split_clause,[],[f266,f538,f517,f496,f475,f454]) ).
fof(f904,plain,
( spl24_8
| spl24_33
| spl24_58
| spl24_83
| spl24_108 ),
inference(avatar_split_clause,[],[f267,f794,f689,f584,f479,f374]) ).
fof(f905,plain,
( spl24_28
| spl24_33
| spl24_38
| spl24_43
| spl24_48 ),
inference(avatar_split_clause,[],[f268,f542,f521,f500,f479,f458]) ).
fof(f907,plain,
( spl24_29
| spl24_34
| spl24_39
| spl24_44
| spl24_49 ),
inference(avatar_split_clause,[],[f270,f546,f525,f504,f483,f462]) ).
fof(f908,plain,
( spl24_10
| spl24_35
| spl24_60
| spl24_85
| spl24_110 ),
inference(avatar_split_clause,[],[f271,f802,f697,f592,f487,f382]) ).
fof(f909,plain,
( spl24_30
| spl24_35
| spl24_40
| spl24_45
| spl24_50 ),
inference(avatar_split_clause,[],[f272,f550,f529,f508,f487,f466]) ).
fof(f910,plain,
( spl24_11
| spl24_36
| spl24_61
| spl24_86
| spl24_111 ),
inference(avatar_split_clause,[],[f273,f807,f702,f597,f492,f387]) ).
fof(f911,plain,
( spl24_51
| spl24_56
| spl24_61
| spl24_66
| spl24_71 ),
inference(avatar_split_clause,[],[f274,f639,f618,f597,f576,f555]) ).
fof(f912,plain,
( spl24_12
| spl24_37
| spl24_62
| spl24_87
| spl24_112 ),
inference(avatar_split_clause,[],[f275,f811,f706,f601,f496,f391]) ).
fof(f913,plain,
( spl24_52
| spl24_57
| spl24_62
| spl24_67
| spl24_72 ),
inference(avatar_split_clause,[],[f276,f643,f622,f601,f580,f559]) ).
fof(f916,plain,
( spl24_14
| spl24_39
| spl24_64
| spl24_89
| spl24_114 ),
inference(avatar_split_clause,[],[f279,f819,f714,f609,f504,f399]) ).
fof(f917,plain,
( spl24_54
| spl24_59
| spl24_64
| spl24_69
| spl24_74 ),
inference(avatar_split_clause,[],[f280,f651,f630,f609,f588,f567]) ).
fof(f919,plain,
( spl24_55
| spl24_60
| spl24_65
| spl24_70
| spl24_75 ),
inference(avatar_split_clause,[],[f282,f655,f634,f613,f592,f571]) ).
fof(f922,plain,
( spl24_17
| spl24_42
| spl24_67
| spl24_92
| spl24_117 ),
inference(avatar_split_clause,[],[f285,f832,f727,f622,f517,f412]) ).
fof(f923,plain,
( spl24_77
| spl24_82
| spl24_87
| spl24_92
| spl24_97 ),
inference(avatar_split_clause,[],[f286,f748,f727,f706,f685,f664]) ).
fof(f924,plain,
( spl24_18
| spl24_43
| spl24_68
| spl24_93
| spl24_118 ),
inference(avatar_split_clause,[],[f287,f836,f731,f626,f521,f416]) ).
fof(f925,plain,
( spl24_78
| spl24_83
| spl24_88
| spl24_93
| spl24_98 ),
inference(avatar_split_clause,[],[f288,f752,f731,f710,f689,f668]) ).
fof(f928,plain,
( spl24_20
| spl24_45
| spl24_70
| spl24_95
| spl24_120 ),
inference(avatar_split_clause,[],[f291,f844,f739,f634,f529,f424]) ).
fof(f930,plain,
( spl24_21
| spl24_46
| spl24_71
| spl24_96
| spl24_121 ),
inference(avatar_split_clause,[],[f293,f849,f744,f639,f534,f429]) ).
fof(f932,plain,
( spl24_22
| spl24_47
| spl24_72
| spl24_97
| spl24_122 ),
inference(avatar_split_clause,[],[f295,f853,f748,f643,f538,f433]) ).
fof(f933,plain,
( spl24_102
| spl24_107
| spl24_112
| spl24_117
| spl24_122 ),
inference(avatar_split_clause,[],[f296,f853,f832,f811,f790,f769]) ).
fof(f934,plain,
( spl24_23
| spl24_48
| spl24_73
| spl24_98
| spl24_123 ),
inference(avatar_split_clause,[],[f297,f857,f752,f647,f542,f437]) ).
fof(f936,plain,
( spl24_24
| spl24_49
| spl24_74
| spl24_99
| spl24_124 ),
inference(avatar_split_clause,[],[f299,f861,f756,f651,f546,f441]) ).
fof(f937,plain,
( spl24_104
| spl24_109
| spl24_114
| spl24_119
| spl24_124 ),
inference(avatar_split_clause,[],[f300,f861,f840,f819,f798,f777]) ).
fof(f938,plain,
( spl24_25
| spl24_50
| spl24_75
| spl24_100
| spl24_125 ),
inference(avatar_split_clause,[],[f301,f865,f760,f655,f550,f445]) ).
fof(f940,plain,
spl24_91,
inference(avatar_split_clause,[],[f139,f723]) ).
fof(f941,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f142,f141]) ).
fof(f943,definition,
( spl24_131
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl24_131])],[avatar_definition]) ).
fof(f947,definition,
( spl24_132
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl24_132])],[avatar_definition]) ).
fof(f951,definition,
( spl24_133
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl24_133])],[avatar_definition]) ).
fof(f955,definition,
( spl24_134
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl24_134])],[avatar_definition]) ).
fof(f959,definition,
( spl24_135
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl24_135])],[avatar_definition]) ).
fof(f963,definition,
( spl24_136
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl24_136])],[avatar_definition]) ).
fof(f967,definition,
( spl24_137
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl24_137])],[avatar_definition]) ).
fof(f971,definition,
( spl24_138
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl24_138])],[avatar_definition]) ).
fof(f975,definition,
( spl24_139
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl24_139])],[avatar_definition]) ).
fof(f979,definition,
( spl24_140
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl24_140])],[avatar_definition]) ).
fof(f983,definition,
( spl24_141
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl24_141])],[avatar_definition]) ).
fof(f987,definition,
( spl24_142
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl24_142])],[avatar_definition]) ).
fof(f991,definition,
( spl24_143
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl24_143])],[avatar_definition]) ).
fof(f995,definition,
( spl24_144
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl24_144])],[avatar_definition]) ).
fof(f999,definition,
( spl24_145
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl24_145])],[avatar_definition]) ).
fof(f1003,definition,
( spl24_146
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl24_146])],[avatar_definition]) ).
fof(f1007,definition,
( spl24_147
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl24_147])],[avatar_definition]) ).
fof(f1011,definition,
( spl24_148
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl24_148])],[avatar_definition]) ).
fof(f1015,definition,
( spl24_149
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl24_149])],[avatar_definition]) ).
fof(f1019,definition,
( spl24_150
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl24_150])],[avatar_definition]) ).
fof(f1023,definition,
( spl24_151
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl24_151])],[avatar_definition]) ).
fof(f1027,definition,
( spl24_152
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl24_152])],[avatar_definition]) ).
fof(f1031,definition,
( spl24_153
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl24_153])],[avatar_definition]) ).
fof(f1035,definition,
( spl24_154
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl24_154])],[avatar_definition]) ).
fof(f1044,plain,
( spl24_131
| spl24_132
| spl24_133
| spl24_134
| spl24_135
| spl24_136
| spl24_137
| spl24_138
| spl24_139
| spl24_140
| spl24_141
| spl24_142
| spl24_143
| spl24_144
| spl24_145
| spl24_146
| spl24_147
| spl24_148
| spl24_149
| spl24_150
| spl24_151
| spl24_152
| spl24_153
| spl24_154 ),
inference(avatar_split_clause,[],[f339,f1035,f1031,f1027,f1023,f1019,f1015,f1011,f1007,f1003,f999,f995,f991,f987,f983,f979,f975,f971,f967,f963,f959,f955,f951,f947,f943]) ).
fof(f1046,plain,
( spl24_2
| spl24_32
| spl24_62
| spl24_92
| spl24_122 ),
inference(avatar_split_clause,[],[f135,f853,f727,f601,f475,f349]) ).
fof(f1047,plain,
( spl24_3
| spl24_33
| spl24_63
| spl24_93
| spl24_123 ),
inference(avatar_split_clause,[],[f136,f857,f731,f605,f479,f353]) ).
fof(f1048,plain,
( spl24_4
| spl24_34
| spl24_64
| spl24_94
| spl24_124 ),
inference(avatar_split_clause,[],[f137,f861,f735,f609,f483,f357]) ).
fof(f1049,plain,
( spl24_5
| spl24_35
| spl24_65
| spl24_95
| spl24_125 ),
inference(avatar_split_clause,[],[f138,f865,f739,f613,f487,f361]) ).
fof(f1056,plain,
~ spl24_131,
inference(avatar_split_clause,[],[f340,f943]) ).
fof(f1063,definition,
( spl24_158
<=> e4 = op(op(e4,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl24_158])],[avatar_definition]) ).
fof(f1064,plain,
( e4 != op(op(e4,e3),e3)
| spl24_158 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1065,plain,
( e4 = op(op(e4,e3),e3)
| ~ spl24_158 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1066,plain,
( ~ spl24_132
| spl24_158 ),
inference(avatar_split_clause,[],[f126,f1063,f947]) ).
fof(f1068,definition,
( spl24_159
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_159])],[avatar_definition]) ).
fof(f1069,plain,
( op(e3,e4) = op(e4,e3)
| ~ spl24_159 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1070,plain,
( op(e3,e4) != op(e4,e3)
| spl24_159 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1071,plain,
( ~ spl24_132
| ~ spl24_159 ),
inference(avatar_split_clause,[],[f127,f1068,f947]) ).
fof(f1073,definition,
( spl24_160
<=> e2 = op(op(e4,e2),e4) ),
introduced(definition,[new_symbols(definition,[spl24_160])],[avatar_definition]) ).
fof(f1074,plain,
( e2 = op(op(e4,e2),e4)
| ~ spl24_160 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1075,plain,
( e2 != op(op(e4,e2),e4)
| spl24_160 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1078,definition,
( spl24_161
<=> e4 = op(op(e4,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_161])],[avatar_definition]) ).
fof(f1079,plain,
( e4 != op(op(e4,e2),e2)
| spl24_161 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1080,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl24_161 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1081,plain,
( ~ spl24_133
| spl24_161 ),
inference(avatar_split_clause,[],[f123,f1078,f951]) ).
fof(f1083,definition,
( spl24_162
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_162])],[avatar_definition]) ).
fof(f1085,plain,
( op(e2,e4) != op(e4,e2)
| spl24_162 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1088,definition,
( spl24_163
<=> e1 = op(op(e4,e1),e4) ),
introduced(definition,[new_symbols(definition,[spl24_163])],[avatar_definition]) ).
fof(f1090,plain,
( e1 != op(op(e4,e1),e4)
| spl24_163 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1091,plain,
( ~ spl24_134
| ~ spl24_163 ),
inference(avatar_split_clause,[],[f119,f1088,f955]) ).
fof(f1093,definition,
( spl24_164
<=> e4 = op(op(e4,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_164])],[avatar_definition]) ).
fof(f1095,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl24_164 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1096,plain,
( ~ spl24_134
| spl24_164 ),
inference(avatar_split_clause,[],[f120,f1093,f955]) ).
fof(f1098,definition,
( spl24_165
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_165])],[avatar_definition]) ).
fof(f1100,plain,
( op(e1,e4) != op(e4,e1)
| spl24_165 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1108,definition,
( spl24_167
<=> e4 = op(op(e4,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl24_167])],[avatar_definition]) ).
fof(f1110,plain,
( e4 = op(op(e4,e0),e0)
| ~ spl24_167 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1111,plain,
( ~ spl24_135
| spl24_167 ),
inference(avatar_split_clause,[],[f117,f1108,f959]) ).
fof(f1113,definition,
( spl24_168
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl24_168])],[avatar_definition]) ).
fof(f1115,plain,
( op(e0,e4) != op(e4,e0)
| spl24_168 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1116,plain,
( ~ spl24_135
| ~ spl24_168 ),
inference(avatar_split_clause,[],[f118,f1113,f959]) ).
fof(f1123,definition,
( spl24_170
<=> e3 = op(op(e3,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl24_170])],[avatar_definition]) ).
fof(f1125,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl24_170 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1126,plain,
( ~ spl24_136
| spl24_170 ),
inference(avatar_split_clause,[],[f114,f1123,f963]) ).
fof(f1127,plain,
( ~ spl24_136
| ~ spl24_159 ),
inference(avatar_split_clause,[],[f115,f1068,f963]) ).
fof(f1134,plain,
~ spl24_137,
inference(avatar_split_clause,[],[f341,f967]) ).
fof(f1141,definition,
( spl24_173
<=> e3 = op(op(e3,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_173])],[avatar_definition]) ).
fof(f1143,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl24_173 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,plain,
( ~ spl24_138
| spl24_173 ),
inference(avatar_split_clause,[],[f108,f1141,f971]) ).
fof(f1146,definition,
( spl24_174
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_174])],[avatar_definition]) ).
fof(f1148,plain,
( op(e2,e3) != op(e3,e2)
| spl24_174 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1149,plain,
( ~ spl24_138
| ~ spl24_174 ),
inference(avatar_split_clause,[],[f109,f1146,f971]) ).
fof(f1156,definition,
( spl24_176
<=> e3 = op(op(e3,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_176])],[avatar_definition]) ).
fof(f1158,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl24_176 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,plain,
( ~ spl24_139
| spl24_176 ),
inference(avatar_split_clause,[],[f105,f1156,f975]) ).
fof(f1161,definition,
( spl24_177
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_177])],[avatar_definition]) ).
fof(f1163,plain,
( op(e1,e3) != op(e3,e1)
| spl24_177 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1166,definition,
( spl24_178
<=> e0 = op(op(e3,e0),e3) ),
introduced(definition,[new_symbols(definition,[spl24_178])],[avatar_definition]) ).
fof(f1168,plain,
( e0 != op(op(e3,e0),e3)
| spl24_178 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( ~ spl24_140
| ~ spl24_178 ),
inference(avatar_split_clause,[],[f101,f1166,f979]) ).
fof(f1176,definition,
( spl24_180
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_180])],[avatar_definition]) ).
fof(f1178,plain,
( op(e0,e3) != op(e3,e0)
| spl24_180 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1179,plain,
( ~ spl24_140
| ~ spl24_180 ),
inference(avatar_split_clause,[],[f103,f1176,f979]) ).
fof(f1181,definition,
( spl24_181
<=> e4 = op(op(e2,e4),e2) ),
introduced(definition,[new_symbols(definition,[spl24_181])],[avatar_definition]) ).
fof(f1183,plain,
( e4 != op(op(e2,e4),e2)
| spl24_181 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1184,plain,
( ~ spl24_141
| ~ spl24_181 ),
inference(avatar_split_clause,[],[f98,f1181,f983]) ).
fof(f1186,definition,
( spl24_182
<=> e2 = op(op(e2,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl24_182])],[avatar_definition]) ).
fof(f1188,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl24_182 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl24_141
| spl24_182 ),
inference(avatar_split_clause,[],[f99,f1186,f983]) ).
fof(f1190,plain,
( ~ spl24_141
| ~ spl24_162 ),
inference(avatar_split_clause,[],[f100,f1083,f983]) ).
fof(f1197,definition,
( spl24_184
<=> e2 = op(op(e2,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl24_184])],[avatar_definition]) ).
fof(f1198,plain,
( e2 != op(op(e2,e3),e3)
| spl24_184 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1199,plain,
( e2 = op(op(e2,e3),e3)
| ~ spl24_184 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1200,plain,
( ~ spl24_142
| spl24_184 ),
inference(avatar_split_clause,[],[f96,f1197,f987]) ).
fof(f1201,plain,
( ~ spl24_142
| ~ spl24_174 ),
inference(avatar_split_clause,[],[f97,f1146,f987]) ).
fof(f1208,plain,
~ spl24_143,
inference(avatar_split_clause,[],[f342,f991]) ).
fof(f1210,definition,
( spl24_186
<=> e1 = op(op(e2,e1),e2) ),
introduced(definition,[new_symbols(definition,[spl24_186])],[avatar_definition]) ).
fof(f1211,plain,
( e1 = op(op(e2,e1),e2)
| ~ spl24_186 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1212,plain,
( e1 != op(op(e2,e1),e2)
| spl24_186 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1215,definition,
( spl24_187
<=> e2 = op(op(e2,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_187])],[avatar_definition]) ).
fof(f1217,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl24_187 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1218,plain,
( ~ spl24_144
| spl24_187 ),
inference(avatar_split_clause,[],[f90,f1215,f995]) ).
fof(f1220,definition,
( spl24_188
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_188])],[avatar_definition]) ).
fof(f1222,plain,
( op(e1,e2) != op(e2,e1)
| spl24_188 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1223,plain,
( ~ spl24_144
| ~ spl24_188 ),
inference(avatar_split_clause,[],[f91,f1220,f995]) ).
fof(f1230,definition,
( spl24_190
<=> e2 = op(op(e2,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl24_190])],[avatar_definition]) ).
fof(f1232,plain,
( e2 = op(op(e2,e0),e0)
| ~ spl24_190 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1233,plain,
( ~ spl24_145
| spl24_190 ),
inference(avatar_split_clause,[],[f87,f1230,f999]) ).
fof(f1235,definition,
( spl24_191
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_191])],[avatar_definition]) ).
fof(f1236,plain,
( op(e0,e2) = op(e2,e0)
| ~ spl24_191 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1237,plain,
( op(e0,e2) != op(e2,e0)
| spl24_191 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1238,plain,
( ~ spl24_145
| ~ spl24_191 ),
inference(avatar_split_clause,[],[f88,f1235,f999]) ).
fof(f1245,definition,
( spl24_193
<=> e1 = op(op(e1,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl24_193])],[avatar_definition]) ).
fof(f1247,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl24_193 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1248,plain,
( ~ spl24_146
| spl24_193 ),
inference(avatar_split_clause,[],[f84,f1245,f1003]) ).
fof(f1249,plain,
( ~ spl24_146
| ~ spl24_165 ),
inference(avatar_split_clause,[],[f85,f1098,f1003]) ).
fof(f1260,plain,
( ~ spl24_147
| ~ spl24_177 ),
inference(avatar_split_clause,[],[f82,f1161,f1007]) ).
fof(f1267,definition,
( spl24_197
<=> e1 = op(op(e1,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_197])],[avatar_definition]) ).
fof(f1269,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl24_197 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1270,plain,
( ~ spl24_148
| spl24_197 ),
inference(avatar_split_clause,[],[f78,f1267,f1011]) ).
fof(f1278,plain,
~ spl24_149,
inference(avatar_split_clause,[],[f343,f1015]) ).
fof(f1280,definition,
( spl24_199
<=> e0 = op(op(e1,e0),e1) ),
introduced(definition,[new_symbols(definition,[spl24_199])],[avatar_definition]) ).
fof(f1281,plain,
( e0 = op(op(e1,e0),e1)
| ~ spl24_199 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1282,plain,
( e0 != op(op(e1,e0),e1)
| spl24_199 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1285,definition,
( spl24_200
<=> e1 = op(op(e1,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl24_200])],[avatar_definition]) ).
fof(f1287,plain,
( e1 = op(op(e1,e0),e0)
| ~ spl24_200 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1288,plain,
( ~ spl24_150
| spl24_200 ),
inference(avatar_split_clause,[],[f72,f1285,f1019]) ).
fof(f1290,definition,
( spl24_201
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl24_201])],[avatar_definition]) ).
fof(f1292,plain,
( op(e0,e1) != op(e1,e0)
| spl24_201 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1293,plain,
( ~ spl24_150
| ~ spl24_201 ),
inference(avatar_split_clause,[],[f73,f1290,f1019]) ).
fof(f1300,definition,
( spl24_203
<=> e0 = op(op(e0,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl24_203])],[avatar_definition]) ).
fof(f1302,plain,
( e0 = op(op(e0,e4),e4)
| ~ spl24_203 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1303,plain,
( ~ spl24_151
| spl24_203 ),
inference(avatar_split_clause,[],[f69,f1300,f1023]) ).
fof(f1304,plain,
( ~ spl24_151
| ~ spl24_168 ),
inference(avatar_split_clause,[],[f70,f1113,f1023]) ).
fof(f1306,definition,
( spl24_204
<=> e3 = op(op(e0,e3),e0) ),
introduced(definition,[new_symbols(definition,[spl24_204])],[avatar_definition]) ).
fof(f1307,plain,
( e3 = op(op(e0,e3),e0)
| ~ spl24_204 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1308,plain,
( e3 != op(op(e0,e3),e0)
| spl24_204 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1309,plain,
( ~ spl24_152
| ~ spl24_204 ),
inference(avatar_split_clause,[],[f65,f1306,f1027]) ).
fof(f1315,plain,
( ~ spl24_152
| ~ spl24_180 ),
inference(avatar_split_clause,[],[f67,f1176,f1027]) ).
fof(f1317,definition,
( spl24_206
<=> e2 = op(op(e0,e2),e0) ),
introduced(definition,[new_symbols(definition,[spl24_206])],[avatar_definition]) ).
fof(f1318,plain,
( e2 = op(op(e0,e2),e0)
| ~ spl24_206 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1319,plain,
( e2 != op(op(e0,e2),e0)
| spl24_206 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1322,definition,
( spl24_207
<=> e0 = op(op(e0,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_207])],[avatar_definition]) ).
fof(f1323,plain,
( e0 != op(op(e0,e2),e2)
| spl24_207 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1324,plain,
( e0 = op(op(e0,e2),e2)
| ~ spl24_207 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1325,plain,
( ~ spl24_153
| spl24_207 ),
inference(avatar_split_clause,[],[f63,f1322,f1031]) ).
fof(f1333,definition,
( spl24_209
<=> e0 = op(op(e0,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_209])],[avatar_definition]) ).
fof(f1334,plain,
( e0 != op(op(e0,e1),e1)
| spl24_209 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1335,plain,
( e0 = op(op(e0,e1),e1)
| ~ spl24_209 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1336,plain,
( ~ spl24_154
| spl24_209 ),
inference(avatar_split_clause,[],[f60,f1333,f1035]) ).
fof(f1337,plain,
( ~ spl24_154
| ~ spl24_201 ),
inference(avatar_split_clause,[],[f61,f1290,f1035]) ).
fof(f1338,plain,
spl24_90,
inference(avatar_split_clause,[],[f941,f718]) ).
fof(f1341,plain,
( e4 != op(e3,e4)
| ~ spl24_6
| spl24_159 ),
inference(forward_demodulation,[],[f1070,f368]) ).
fof(f1344,plain,
( $false
| ~ spl24_6
| ~ spl24_26
| spl24_159 ),
inference(forward_subsumption_resolution,[],[f1341,f452]) ).
fof(f1345,plain,
( ~ spl24_6
| ~ spl24_26
| spl24_159 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1359,plain,
( e1 = e4
| ~ spl24_51
| ~ spl24_54 ),
inference(forward_demodulation,[],[f557,f569]) ).
fof(f1360,plain,
( $false
| ~ spl24_51
| ~ spl24_54 ),
inference(forward_subsumption_resolution,[],[f1359,f146]) ).
fof(f1361,plain,
( ~ spl24_51
| ~ spl24_54 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1368,plain,
( e4 = op(e4,e4)
| ~ spl24_126 ),
inference(superposition,[],[f304,f872]) ).
fof(f1369,plain,
( e2 = e4
| ~ spl24_3
| ~ spl24_126 ),
inference(forward_demodulation,[],[f1368,f355]) ).
fof(f1370,plain,
( $false
| ~ spl24_3
| ~ spl24_126 ),
inference(forward_subsumption_resolution,[],[f1369,f144]) ).
fof(f1371,plain,
( ~ spl24_3
| ~ spl24_126 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1375,plain,
( e1 = e4
| ~ spl24_4
| ~ spl24_126 ),
inference(forward_demodulation,[],[f1368,f359]) ).
fof(f1376,plain,
( $false
| ~ spl24_4
| ~ spl24_126 ),
inference(forward_subsumption_resolution,[],[f1375,f146]) ).
fof(f1377,plain,
( ~ spl24_4
| ~ spl24_126 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1382,plain,
( e0 = e4
| ~ spl24_5
| ~ spl24_126 ),
inference(forward_demodulation,[],[f1368,f363]) ).
fof(f1383,plain,
( $false
| ~ spl24_5
| ~ spl24_126 ),
inference(forward_subsumption_resolution,[],[f1382,f149]) ).
fof(f1384,plain,
( ~ spl24_5
| ~ spl24_126 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1390,plain,
( e4 = op(e3,e4)
| ~ spl24_127 ),
inference(superposition,[],[f305,f876]) ).
fof(f1391,plain,
( e3 = e4
| ~ spl24_27
| ~ spl24_127 ),
inference(forward_demodulation,[],[f1390,f456]) ).
fof(f1392,plain,
( $false
| ~ spl24_27
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f1391,f143]) ).
fof(f1393,plain,
( ~ spl24_27
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1397,plain,
( e2 = e4
| ~ spl24_28
| ~ spl24_127 ),
inference(forward_demodulation,[],[f1390,f460]) ).
fof(f1398,plain,
( $false
| ~ spl24_28
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f1397,f144]) ).
fof(f1399,plain,
( ~ spl24_28
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1404,plain,
( e1 = e4
| ~ spl24_29
| ~ spl24_127 ),
inference(forward_demodulation,[],[f1390,f464]) ).
fof(f1405,plain,
( $false
| ~ spl24_29
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f1404,f146]) ).
fof(f1406,plain,
( ~ spl24_29
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1412,plain,
( e0 = e4
| ~ spl24_30
| ~ spl24_127 ),
inference(forward_demodulation,[],[f1390,f468]) ).
fof(f1413,plain,
( $false
| ~ spl24_30
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f1412,f149]) ).
fof(f1414,plain,
( ~ spl24_30
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1453,plain,
( e4 = op(e4,e0)
| ~ spl24_130 ),
inference(superposition,[],[f304,f888]) ).
fof(f1454,plain,
( e4 = op(e0,e4)
| ~ spl24_130 ),
inference(superposition,[],[f305,f888]) ).
fof(f1459,plain,
( e3 = e4
| ~ spl24_102
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1454,f771]) ).
fof(f1460,plain,
( e3 = e4
| ~ spl24_22
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1453,f435]) ).
fof(f1461,plain,
( $false
| ~ spl24_102
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1459,f143]) ).
fof(f1462,plain,
( ~ spl24_102
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1463,plain,
( $false
| ~ spl24_22
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1460,f143]) ).
fof(f1464,plain,
( ~ spl24_22
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1468,plain,
( e2 = e4
| ~ spl24_23
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1453,f439]) ).
fof(f1471,plain,
( $false
| ~ spl24_23
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1468,f144]) ).
fof(f1472,plain,
( ~ spl24_23
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1476,plain,
( e1 = e4
| ~ spl24_104
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1454,f779]) ).
fof(f1478,plain,
( e1 = e4
| ~ spl24_24
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1453,f443]) ).
fof(f1479,plain,
( $false
| ~ spl24_104
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1476,f146]) ).
fof(f1480,plain,
( ~ spl24_104
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1481,plain,
( $false
| ~ spl24_24
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1478,f146]) ).
fof(f1482,plain,
( ~ spl24_24
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1492,plain,
( e0 = e4
| ~ spl24_101
| ~ spl24_105 ),
inference(forward_demodulation,[],[f767,f783]) ).
fof(f1493,plain,
( $false
| ~ spl24_101
| ~ spl24_105 ),
inference(forward_subsumption_resolution,[],[f1492,f149]) ).
fof(f1494,plain,
( ~ spl24_101
| ~ spl24_105 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1535,plain,
( e0 = e1
| ~ spl24_54
| ~ spl24_55 ),
inference(forward_demodulation,[],[f569,f573]) ).
fof(f1536,plain,
( e0 = e1
| ~ spl24_89
| ~ spl24_90 ),
inference(forward_demodulation,[],[f716,f720]) ).
fof(f1545,plain,
( $false
| ~ spl24_54
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1535,f152]) ).
fof(f1546,plain,
( ~ spl24_54
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1547,plain,
( $false
| ~ spl24_89
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f1536,f152]) ).
fof(f1548,plain,
( ~ spl24_89
| ~ spl24_90 ),
inference(avatar_contradiction_clause,[],[f1547]) ).
fof(f1563,plain,
( e4 = op(e4,e0)
| ~ spl24_130 ),
inference(superposition,[],[f304,f888]) ).
fof(f1569,plain,
( e0 = e4
| ~ spl24_25
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1563,f447]) ).
fof(f1570,plain,
( $false
| ~ spl24_25
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1569,f149]) ).
fof(f1571,plain,
( ~ spl24_25
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1576,plain,
( e3 = op(e3,e0)
| ~ spl24_130 ),
inference(superposition,[],[f306,f888]) ).
fof(f1577,plain,
( spl24_47
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1576,f886,f538]) ).
fof(f1578,plain,
( e3 = op(e0,e3)
| ~ spl24_130 ),
inference(superposition,[],[f307,f888]) ).
fof(f1579,plain,
( spl24_107
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1578,f886,f790]) ).
fof(f1580,plain,
( e2 = op(e2,e0)
| ~ spl24_130 ),
inference(superposition,[],[f308,f888]) ).
fof(f1581,plain,
( spl24_73
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1580,f886,f647]) ).
fof(f1582,plain,
( e2 = op(e0,e2)
| ~ spl24_130 ),
inference(superposition,[],[f309,f888]) ).
fof(f1583,plain,
( spl24_113
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1582,f886,f815]) ).
fof(f1584,plain,
( e1 = op(e1,e0)
| ~ spl24_130 ),
inference(superposition,[],[f310,f888]) ).
fof(f1585,plain,
( e1 = op(e0,e1)
| ~ spl24_130 ),
inference(superposition,[],[f311,f888]) ).
fof(f1586,plain,
( e0 = e1
| ~ spl24_120
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1585,f846]) ).
fof(f1587,plain,
( $false
| ~ spl24_120
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1586,f152]) ).
fof(f1588,plain,
( ~ spl24_120
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1590,plain,
( spl24_119
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1585,f886,f840]) ).
fof(f1593,plain,
( e0 = e2
| ~ spl24_3
| ~ spl24_5 ),
inference(superposition,[],[f363,f355]) ).
fof(f1597,plain,
( $false
| ~ spl24_3
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1593,f151]) ).
fof(f1598,plain,
( ~ spl24_3
| ~ spl24_5 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1603,plain,
( e3 = e4
| ~ spl24_6
| ~ spl24_7 ),
inference(superposition,[],[f372,f368]) ).
fof(f1607,plain,
( $false
| ~ spl24_6
| ~ spl24_7 ),
inference(forward_subsumption_resolution,[],[f1603,f143]) ).
fof(f1608,plain,
( ~ spl24_6
| ~ spl24_7 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1615,plain,
( e2 = e3
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f376,f372]) ).
fof(f1619,plain,
( $false
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_subsumption_resolution,[],[f1615,f145]) ).
fof(f1620,plain,
( ~ spl24_7
| ~ spl24_8 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1623,plain,
( e1 = e3
| ~ spl24_7
| ~ spl24_9 ),
inference(superposition,[],[f372,f380]) ).
fof(f1624,plain,
( $false
| ~ spl24_7
| ~ spl24_9 ),
inference(forward_subsumption_resolution,[],[f1623,f147]) ).
fof(f1625,plain,
( ~ spl24_7
| ~ spl24_9 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1629,plain,
( e0 = e3
| ~ spl24_7
| ~ spl24_10 ),
inference(superposition,[],[f384,f372]) ).
fof(f1630,plain,
( e0 = e3
| ~ spl24_7
| ~ spl24_10 ),
inference(superposition,[],[f372,f384]) ).
fof(f1631,plain,
( $false
| ~ spl24_7
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1630,f150]) ).
fof(f1632,plain,
( ~ spl24_7
| ~ spl24_10 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1633,plain,
( $false
| ~ spl24_7
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1629,f150]) ).
fof(f1634,plain,
( ~ spl24_7
| ~ spl24_10 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1636,plain,
( e2 = e3
| ~ spl24_17
| ~ spl24_18 ),
inference(forward_demodulation,[],[f414,f418]) ).
fof(f1640,plain,
( e0 != op(e3,e4)
| ~ spl24_10
| spl24_159 ),
inference(forward_demodulation,[],[f1070,f384]) ).
fof(f1643,plain,
( $false
| ~ spl24_17
| ~ spl24_18 ),
inference(forward_subsumption_resolution,[],[f1636,f145]) ).
fof(f1644,plain,
( ~ spl24_17
| ~ spl24_18 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1647,plain,
( e0 = e2
| ~ spl24_8
| ~ spl24_10 ),
inference(forward_demodulation,[],[f376,f384]) ).
fof(f1649,plain,
( $false
| ~ spl24_8
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f1647,f151]) ).
fof(f1650,plain,
( ~ spl24_8
| ~ spl24_10 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1702,plain,
( e2 != op(e1,e4)
| ~ spl24_18
| spl24_165 ),
inference(forward_demodulation,[],[f1100,f418]) ).
fof(f1707,plain,
( $false
| ~ spl24_18
| ~ spl24_78
| spl24_165 ),
inference(forward_subsumption_resolution,[],[f1702,f670]) ).
fof(f1708,plain,
( ~ spl24_18
| ~ spl24_78
| spl24_165 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1736,plain,
( e0 = op(e1,e1)
| ~ spl24_119
| ~ spl24_209 ),
inference(forward_demodulation,[],[f1335,f842]) ).
fof(f1741,plain,
( e0 = e1
| ~ spl24_100
| ~ spl24_130 ),
inference(forward_demodulation,[],[f1584,f762]) ).
fof(f1743,plain,
( $false
| ~ spl24_100
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1741,f152]) ).
fof(f1744,plain,
( ~ spl24_100
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1746,plain,
( spl24_99
| ~ spl24_130 ),
inference(avatar_split_clause,[],[f1584,f886,f756]) ).
fof(f1749,plain,
( e1 = op(e0,e2)
| ~ spl24_90
| ~ spl24_197 ),
inference(forward_demodulation,[],[f1269,f720]) ).
fof(f1753,plain,
( spl24_114
| ~ spl24_90
| ~ spl24_197 ),
inference(avatar_split_clause,[],[f1749,f1267,f718,f819]) ).
fof(f1754,plain,
( e1 = e2
| ~ spl24_33
| ~ spl24_34 ),
inference(superposition,[],[f485,f481]) ).
fof(f1755,plain,
( e1 = e2
| ~ spl24_33
| ~ spl24_34 ),
inference(superposition,[],[f481,f485]) ).
fof(f1756,plain,
( $false
| ~ spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f1755,f148]) ).
fof(f1757,plain,
( ~ spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f1756]) ).
fof(f1758,plain,
( $false
| ~ spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f1754,f148]) ).
fof(f1759,plain,
( ~ spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1761,plain,
( e0 = e2
| ~ spl24_33
| ~ spl24_35 ),
inference(superposition,[],[f489,f481]) ).
fof(f1765,plain,
( $false
| ~ spl24_33
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f1761,f151]) ).
fof(f1766,plain,
( ~ spl24_33
| ~ spl24_35 ),
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1769,plain,
( e1 = e3
| ~ spl24_37
| ~ spl24_39 ),
inference(superposition,[],[f498,f506]) ).
fof(f1770,plain,
( $false
| ~ spl24_37
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f1769,f147]) ).
fof(f1771,plain,
( ~ spl24_37
| ~ spl24_39 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1775,plain,
( e0 = e1
| ~ spl24_44
| ~ spl24_45 ),
inference(forward_demodulation,[],[f527,f531]) ).
fof(f1776,plain,
( $false
| ~ spl24_44
| ~ spl24_45 ),
inference(forward_subsumption_resolution,[],[f1775,f152]) ).
fof(f1777,plain,
( ~ spl24_44
| ~ spl24_45 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1799,plain,
( e1 = e3
| ~ spl24_47
| ~ spl24_49 ),
inference(superposition,[],[f548,f540]) ).
fof(f1803,plain,
( $false
| ~ spl24_47
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f1799,f147]) ).
fof(f1804,plain,
( ~ spl24_47
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1805,plain,
( e0 = e1
| ~ spl24_34
| ~ spl24_35 ),
inference(forward_demodulation,[],[f485,f489]) ).
fof(f1807,plain,
( $false
| ~ spl24_34
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f1805,f152]) ).
fof(f1808,plain,
( ~ spl24_34
| ~ spl24_35 ),
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f1810,plain,
( e2 = e3
| ~ spl24_112
| ~ spl24_113 ),
inference(forward_demodulation,[],[f813,f817]) ).
fof(f1813,plain,
( $false
| ~ spl24_112
| ~ spl24_113 ),
inference(forward_subsumption_resolution,[],[f1810,f145]) ).
fof(f1814,plain,
( ~ spl24_112
| ~ spl24_113 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1815,plain,
( e0 = e3
| ~ spl24_87
| ~ spl24_90 ),
inference(forward_demodulation,[],[f708,f720]) ).
fof(f1817,plain,
( $false
| ~ spl24_87
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f1815,f150]) ).
fof(f1818,plain,
( ~ spl24_87
| ~ spl24_90 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1829,plain,
( e3 = e4
| ~ spl24_36
| ~ spl24_37 ),
inference(forward_demodulation,[],[f494,f498]) ).
fof(f1833,plain,
( $false
| ~ spl24_36
| ~ spl24_37 ),
inference(forward_subsumption_resolution,[],[f1829,f143]) ).
fof(f1834,plain,
( ~ spl24_36
| ~ spl24_37 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1859,plain,
( e1 = e4
| ~ spl24_31
| ~ spl24_34 ),
inference(superposition,[],[f485,f473]) ).
fof(f1866,plain,
( $false
| ~ spl24_31
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f1859,f146]) ).
fof(f1867,plain,
( ~ spl24_31
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1869,plain,
( e2 = e3
| ~ spl24_62
| ~ spl24_63 ),
inference(forward_demodulation,[],[f603,f607]) ).
fof(f1874,plain,
( $false
| ~ spl24_62
| ~ spl24_63 ),
inference(forward_subsumption_resolution,[],[f1869,f145]) ).
fof(f1875,plain,
( ~ spl24_62
| ~ spl24_63 ),
inference(avatar_contradiction_clause,[],[f1874]) ).
fof(f1881,plain,
( e1 = e3
| ~ spl24_52
| ~ spl24_54 ),
inference(superposition,[],[f569,f561]) ).
fof(f1887,plain,
( $false
| ~ spl24_52
| ~ spl24_54 ),
inference(forward_subsumption_resolution,[],[f1881,f147]) ).
fof(f1888,plain,
( ~ spl24_52
| ~ spl24_54 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1889,plain,
( e0 = e1
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f359,f363]) ).
fof(f1893,plain,
( $false
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1889,f152]) ).
fof(f1894,plain,
( ~ spl24_4
| ~ spl24_5 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1903,plain,
( e0 = e2
| ~ spl24_18
| ~ spl24_20 ),
inference(superposition,[],[f426,f418]) ).
fof(f1907,plain,
( $false
| ~ spl24_18
| ~ spl24_20 ),
inference(forward_subsumption_resolution,[],[f1903,f151]) ).
fof(f1908,plain,
( ~ spl24_18
| ~ spl24_20 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1910,plain,
( e0 = e1
| ~ spl24_14
| ~ spl24_15 ),
inference(superposition,[],[f405,f401]) ).
fof(f1914,plain,
( $false
| ~ spl24_14
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f1910,f152]) ).
fof(f1915,plain,
( ~ spl24_14
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1923,plain,
( e0 = e3
| ~ spl24_52
| ~ spl24_55 ),
inference(superposition,[],[f573,f561]) ).
fof(f1929,plain,
( $false
| ~ spl24_52
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1923,f150]) ).
fof(f1930,plain,
( ~ spl24_52
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1934,plain,
( e2 = op(e1,e4)
| ~ spl24_54
| ~ spl24_182 ),
inference(forward_demodulation,[],[f1188,f569]) ).
fof(f1953,plain,
( e1 = op(e1,e2)
| ~ spl24_128 ),
inference(superposition,[],[f310,f880]) ).
fof(f1962,plain,
( e0 = e1
| ~ spl24_90
| ~ spl24_128 ),
inference(forward_demodulation,[],[f1953,f720]) ).
fof(f1968,plain,
( $false
| ~ spl24_90
| ~ spl24_128 ),
inference(forward_subsumption_resolution,[],[f1962,f152]) ).
fof(f1969,plain,
( ~ spl24_90
| ~ spl24_128 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1970,plain,
( e2 = e3
| ~ spl24_27
| ~ spl24_28 ),
inference(forward_demodulation,[],[f456,f460]) ).
fof(f1972,plain,
( $false
| ~ spl24_27
| ~ spl24_28 ),
inference(forward_subsumption_resolution,[],[f1970,f145]) ).
fof(f1973,plain,
( ~ spl24_27
| ~ spl24_28 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1974,plain,
( e1 = e2
| ~ spl24_38
| ~ spl24_39 ),
inference(forward_demodulation,[],[f502,f506]) ).
fof(f1977,plain,
( $false
| ~ spl24_38
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f1974,f148]) ).
fof(f1978,plain,
( ~ spl24_38
| ~ spl24_39 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f1980,plain,
( e0 = e2
| ~ spl24_43
| ~ spl24_45 ),
inference(forward_demodulation,[],[f523,f531]) ).
fof(f1983,plain,
( $false
| ~ spl24_43
| ~ spl24_45 ),
inference(forward_subsumption_resolution,[],[f1980,f151]) ).
fof(f1984,plain,
( ~ spl24_43
| ~ spl24_45 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f2003,plain,
( e1 = e2
| ~ spl24_18
| ~ spl24_19 ),
inference(superposition,[],[f422,f418]) ).
fof(f2004,plain,
( e1 = e2
| ~ spl24_18
| ~ spl24_19 ),
inference(superposition,[],[f418,f422]) ).
fof(f2005,plain,
( $false
| ~ spl24_18
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f2004,f148]) ).
fof(f2006,plain,
( ~ spl24_18
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2007,plain,
( $false
| ~ spl24_18
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f2003,f148]) ).
fof(f2008,plain,
( ~ spl24_18
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2018,plain,
( e2 = e3
| ~ spl24_47
| ~ spl24_48 ),
inference(superposition,[],[f544,f540]) ).
fof(f2022,plain,
( $false
| ~ spl24_47
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f2018,f145]) ).
fof(f2023,plain,
( ~ spl24_47
| ~ spl24_48 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2024,plain,
( e1 = e4
| ~ spl24_36
| ~ spl24_39 ),
inference(forward_demodulation,[],[f494,f506]) ).
fof(f2028,plain,
( $false
| ~ spl24_36
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f2024,f146]) ).
fof(f2029,plain,
( ~ spl24_36
| ~ spl24_39 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2045,plain,
( e0 = e3
| ~ spl24_47
| ~ spl24_50 ),
inference(superposition,[],[f552,f540]) ).
fof(f2049,plain,
( $false
| ~ spl24_47
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f2045,f150]) ).
fof(f2050,plain,
( ~ spl24_47
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2056,plain,
( e2 = e4
| ~ spl24_41
| ~ spl24_43 ),
inference(superposition,[],[f523,f515]) ).
fof(f2061,plain,
( $false
| ~ spl24_41
| ~ spl24_43 ),
inference(forward_subsumption_resolution,[],[f2056,f144]) ).
fof(f2062,plain,
( ~ spl24_41
| ~ spl24_43 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2071,plain,
( e0 = e4
| ~ spl24_36
| ~ spl24_40 ),
inference(superposition,[],[f510,f494]) ).
fof(f2076,plain,
( $false
| ~ spl24_36
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f2071,f149]) ).
fof(f2077,plain,
( ~ spl24_36
| ~ spl24_40 ),
inference(avatar_contradiction_clause,[],[f2076]) ).
fof(f2079,plain,
( e1 = e2
| ~ spl24_43
| ~ spl24_44 ),
inference(forward_demodulation,[],[f523,f527]) ).
fof(f2081,plain,
( $false
| ~ spl24_43
| ~ spl24_44 ),
inference(forward_subsumption_resolution,[],[f2079,f148]) ).
fof(f2082,plain,
( ~ spl24_43
| ~ spl24_44 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2091,plain,
( e4 = op(e4,e4)
| ~ spl24_126 ),
inference(superposition,[],[f304,f872]) ).
fof(f2096,plain,
( e2 = op(e4,e2)
| ~ spl24_126 ),
inference(superposition,[],[f309,f872]) ).
fof(f2108,plain,
( e1 = e2
| ~ spl24_14
| ~ spl24_126 ),
inference(forward_demodulation,[],[f2096,f401]) ).
fof(f2112,plain,
( e3 = e4
| ~ spl24_2
| ~ spl24_126 ),
inference(forward_demodulation,[],[f2091,f351]) ).
fof(f2113,plain,
( $false
| ~ spl24_14
| ~ spl24_126 ),
inference(forward_subsumption_resolution,[],[f2108,f148]) ).
fof(f2114,plain,
( ~ spl24_14
| ~ spl24_126 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2117,plain,
( $false
| ~ spl24_2
| ~ spl24_126 ),
inference(forward_subsumption_resolution,[],[f2112,f143]) ).
fof(f2118,plain,
( ~ spl24_2
| ~ spl24_126 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2173,plain,
( e2 = e4
| ~ spl24_36
| ~ spl24_38 ),
inference(superposition,[],[f502,f494]) ).
fof(f2178,plain,
( $false
| ~ spl24_36
| ~ spl24_38 ),
inference(forward_subsumption_resolution,[],[f2173,f144]) ).
fof(f2179,plain,
( ~ spl24_36
| ~ spl24_38 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2194,plain,
( e2 = e3
| ~ spl24_57
| ~ spl24_58 ),
inference(superposition,[],[f586,f582]) ).
fof(f2198,plain,
( $false
| ~ spl24_57
| ~ spl24_58 ),
inference(forward_subsumption_resolution,[],[f2194,f145]) ).
fof(f2199,plain,
( ~ spl24_57
| ~ spl24_58 ),
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2217,plain,
( e3 = e4
| ~ spl24_61
| ~ spl24_62 ),
inference(superposition,[],[f603,f599]) ).
fof(f2221,plain,
( $false
| ~ spl24_61
| ~ spl24_62 ),
inference(forward_subsumption_resolution,[],[f2217,f143]) ).
fof(f2222,plain,
( ~ spl24_61
| ~ spl24_62 ),
inference(avatar_contradiction_clause,[],[f2221]) ).
fof(f2225,plain,
( e2 = e4
| ~ spl24_71
| ~ spl24_73 ),
inference(superposition,[],[f649,f641]) ).
fof(f2229,plain,
( $false
| ~ spl24_71
| ~ spl24_73 ),
inference(forward_subsumption_resolution,[],[f2225,f144]) ).
fof(f2230,plain,
( ~ spl24_71
| ~ spl24_73 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2231,plain,
( e1 = e4
| ~ spl24_56
| ~ spl24_59 ),
inference(forward_demodulation,[],[f578,f590]) ).
fof(f2233,plain,
( $false
| ~ spl24_56
| ~ spl24_59 ),
inference(forward_subsumption_resolution,[],[f2231,f146]) ).
fof(f2234,plain,
( ~ spl24_56
| ~ spl24_59 ),
inference(avatar_contradiction_clause,[],[f2233]) ).
fof(f2239,plain,
( e0 = e2
| ~ spl24_73
| ~ spl24_75 ),
inference(superposition,[],[f657,f649]) ).
fof(f2243,plain,
( $false
| ~ spl24_73
| ~ spl24_75 ),
inference(forward_subsumption_resolution,[],[f2239,f151]) ).
fof(f2244,plain,
( ~ spl24_73
| ~ spl24_75 ),
inference(avatar_contradiction_clause,[],[f2243]) ).
fof(f2250,plain,
( e0 = e4
| ~ spl24_56
| ~ spl24_60 ),
inference(superposition,[],[f578,f594]) ).
fof(f2251,plain,
( $false
| ~ spl24_56
| ~ spl24_60 ),
inference(forward_subsumption_resolution,[],[f2250,f149]) ).
fof(f2252,plain,
( ~ spl24_56
| ~ spl24_60 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2256,plain,
( e0 = e1
| ~ spl24_69
| ~ spl24_70 ),
inference(superposition,[],[f636,f632]) ).
fof(f2260,plain,
( $false
| ~ spl24_69
| ~ spl24_70 ),
inference(forward_subsumption_resolution,[],[f2256,f152]) ).
fof(f2261,plain,
( ~ spl24_69
| ~ spl24_70 ),
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2263,plain,
( e0 = e3
| ~ spl24_62
| ~ spl24_65 ),
inference(superposition,[],[f615,f603]) ).
fof(f2267,plain,
( $false
| ~ spl24_62
| ~ spl24_65 ),
inference(forward_subsumption_resolution,[],[f2263,f150]) ).
fof(f2268,plain,
( ~ spl24_62
| ~ spl24_65 ),
inference(avatar_contradiction_clause,[],[f2267]) ).
fof(f2272,plain,
( e0 != op(e1,e2)
| ~ spl24_70
| spl24_188 ),
inference(forward_demodulation,[],[f1222,f636]) ).
fof(f2273,plain,
( $false
| ~ spl24_70
| ~ spl24_90
| spl24_188 ),
inference(forward_subsumption_resolution,[],[f2272,f720]) ).
fof(f2274,plain,
( ~ spl24_70
| ~ spl24_90
| spl24_188 ),
inference(avatar_contradiction_clause,[],[f2273]) ).
fof(f2276,plain,
( e2 != op(e0,e2)
| ~ spl24_73
| spl24_191 ),
inference(forward_demodulation,[],[f1237,f649]) ).
fof(f2278,plain,
( e0 = op(e4,e2)
| ~ spl24_111
| ~ spl24_207 ),
inference(forward_demodulation,[],[f1324,f809]) ).
fof(f2279,plain,
( $false
| ~ spl24_73
| ~ spl24_113
| spl24_191 ),
inference(forward_subsumption_resolution,[],[f2276,f817]) ).
fof(f2280,plain,
( ~ spl24_73
| ~ spl24_113
| spl24_191 ),
inference(avatar_contradiction_clause,[],[f2279]) ).
fof(f2288,plain,
( e1 != op(e0,e1)
| ~ spl24_99
| spl24_201 ),
inference(forward_demodulation,[],[f1292,f758]) ).
fof(f2292,plain,
( $false
| ~ spl24_99
| ~ spl24_119
| spl24_201 ),
inference(forward_subsumption_resolution,[],[f2288,f842]) ).
fof(f2293,plain,
( ~ spl24_99
| ~ spl24_119
| spl24_201 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2299,plain,
( spl24_95
| ~ spl24_119
| ~ spl24_209 ),
inference(avatar_split_clause,[],[f1736,f1333,f840,f739]) ).
fof(f2353,plain,
( e3 = e4
| ~ spl24_91
| ~ spl24_92 ),
inference(superposition,[],[f729,f725]) ).
fof(f2357,plain,
( $false
| ~ spl24_91
| ~ spl24_92 ),
inference(forward_subsumption_resolution,[],[f2353,f143]) ).
fof(f2358,plain,
( ~ spl24_91
| ~ spl24_92 ),
inference(avatar_contradiction_clause,[],[f2357]) ).
fof(f2359,plain,
( e1 = e3
| ~ spl24_42
| ~ spl24_44 ),
inference(forward_demodulation,[],[f519,f527]) ).
fof(f2361,plain,
( e1 = e3
| ~ spl24_97
| ~ spl24_99 ),
inference(forward_demodulation,[],[f750,f758]) ).
fof(f2362,plain,
( $false
| ~ spl24_42
| ~ spl24_44 ),
inference(forward_subsumption_resolution,[],[f2359,f147]) ).
fof(f2363,plain,
( ~ spl24_42
| ~ spl24_44 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
fof(f2364,plain,
( $false
| ~ spl24_97
| ~ spl24_99 ),
inference(forward_subsumption_resolution,[],[f2361,f147]) ).
fof(f2365,plain,
( ~ spl24_97
| ~ spl24_99 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2371,plain,
( e4 = op(e2,e1)
| ~ spl24_18
| ~ spl24_164 ),
inference(forward_demodulation,[],[f1095,f418]) ).
fof(f2378,plain,
( e0 = e4
| ~ spl24_18
| ~ spl24_70
| ~ spl24_164 ),
inference(forward_demodulation,[],[f2371,f636]) ).
fof(f2379,plain,
( $false
| ~ spl24_18
| ~ spl24_70
| ~ spl24_164 ),
inference(forward_subsumption_resolution,[],[f2378,f149]) ).
fof(f2380,plain,
( ~ spl24_18
| ~ spl24_70
| ~ spl24_164 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2381,plain,
( e0 = e3
| ~ spl24_67
| ~ spl24_70 ),
inference(forward_demodulation,[],[f624,f636]) ).
fof(f2386,plain,
( e3 = op(e1,e1)
| ~ spl24_44
| ~ spl24_176 ),
inference(forward_demodulation,[],[f1158,f527]) ).
fof(f2387,plain,
( e1 != op(e1,e3)
| ~ spl24_44
| spl24_177 ),
inference(forward_demodulation,[],[f1163,f527]) ).
fof(f2388,plain,
( $false
| ~ spl24_67
| ~ spl24_70 ),
inference(forward_subsumption_resolution,[],[f2381,f150]) ).
fof(f2389,plain,
( ~ spl24_67
| ~ spl24_70 ),
inference(avatar_contradiction_clause,[],[f2388]) ).
fof(f2394,plain,
( e1 = e4
| ~ spl24_6
| ~ spl24_9 ),
inference(forward_demodulation,[],[f368,f380]) ).
fof(f2400,plain,
( e3 != op(e0,e3)
| ~ spl24_47
| spl24_180 ),
inference(forward_demodulation,[],[f1178,f540]) ).
fof(f2402,plain,
( e3 != op(e3,e0)
| ~ spl24_107
| spl24_204 ),
inference(forward_demodulation,[],[f1308,f792]) ).
fof(f2406,plain,
( $false
| ~ spl24_6
| ~ spl24_9 ),
inference(forward_subsumption_resolution,[],[f2394,f146]) ).
fof(f2407,plain,
( ~ spl24_6
| ~ spl24_9 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
fof(f2412,plain,
( $false
| ~ spl24_47
| ~ spl24_107
| spl24_180 ),
inference(forward_subsumption_resolution,[],[f2400,f792]) ).
fof(f2413,plain,
( ~ spl24_47
| ~ spl24_107
| spl24_180 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2414,plain,
( $false
| ~ spl24_47
| ~ spl24_107
| spl24_204 ),
inference(forward_subsumption_resolution,[],[f2402,f540]) ).
fof(f2415,plain,
( ~ spl24_47
| ~ spl24_107
| spl24_204 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2422,plain,
( e3 = e4
| ~ spl24_106
| ~ spl24_107 ),
inference(forward_demodulation,[],[f788,f792]) ).
fof(f2433,plain,
( $false
| ~ spl24_106
| ~ spl24_107 ),
inference(forward_subsumption_resolution,[],[f2422,f143]) ).
fof(f2434,plain,
( ~ spl24_106
| ~ spl24_107 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2439,plain,
( e0 = e3
| ~ spl24_12
| ~ spl24_15 ),
inference(forward_demodulation,[],[f393,f405]) ).
fof(f2445,plain,
( $false
| ~ spl24_12
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f2439,f150]) ).
fof(f2446,plain,
( ~ spl24_12
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f2445]) ).
fof(f2453,plain,
( e4 != op(e0,e2)
| ~ spl24_55
| spl24_181 ),
inference(forward_demodulation,[],[f1183,f573]) ).
fof(f2465,plain,
( e2 != op(e2,e0)
| ~ spl24_113
| spl24_206 ),
inference(forward_demodulation,[],[f1319,f817]) ).
fof(f2466,plain,
( e0 = op(e2,e2)
| ~ spl24_113
| ~ spl24_207 ),
inference(forward_demodulation,[],[f1324,f817]) ).
fof(f2468,plain,
( $false
| ~ spl24_73
| ~ spl24_113
| spl24_206 ),
inference(forward_subsumption_resolution,[],[f2465,f649]) ).
fof(f2469,plain,
( ~ spl24_73
| ~ spl24_113
| spl24_206 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2470,plain,
( spl24_65
| ~ spl24_113
| ~ spl24_207 ),
inference(avatar_split_clause,[],[f2466,f1322,f815,f613]) ).
fof(f2492,plain,
( e2 = op(e3,e1)
| ~ spl24_67
| ~ spl24_187 ),
inference(forward_demodulation,[],[f1217,f624]) ).
fof(f2498,plain,
( e1 = e2
| ~ spl24_44
| ~ spl24_67
| ~ spl24_187 ),
inference(forward_demodulation,[],[f2492,f527]) ).
fof(f2502,plain,
( $false
| ~ spl24_44
| ~ spl24_67
| ~ spl24_187 ),
inference(forward_subsumption_resolution,[],[f2498,f148]) ).
fof(f2503,plain,
( ~ spl24_44
| ~ spl24_67
| ~ spl24_187 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2509,plain,
( e1 = e2
| ~ spl24_73
| ~ spl24_74 ),
inference(superposition,[],[f653,f649]) ).
fof(f2513,plain,
( $false
| ~ spl24_73
| ~ spl24_74 ),
inference(forward_subsumption_resolution,[],[f2509,f148]) ).
fof(f2514,plain,
( ~ spl24_73
| ~ spl24_74 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2524,plain,
( e1 = e3
| ~ spl24_62
| ~ spl24_64 ),
inference(superposition,[],[f611,f603]) ).
fof(f2528,plain,
( $false
| ~ spl24_62
| ~ spl24_64 ),
inference(forward_subsumption_resolution,[],[f2524,f147]) ).
fof(f2529,plain,
( ~ spl24_62
| ~ spl24_64 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
fof(f2542,plain,
( e3 != op(e2,e4)
| ~ spl24_12
| spl24_162 ),
inference(forward_demodulation,[],[f1085,f393]) ).
fof(f2543,plain,
( e0 = e1
| ~ spl24_9
| ~ spl24_10 ),
inference(superposition,[],[f384,f380]) ).
fof(f2548,plain,
( $false
| ~ spl24_9
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f2543,f152]) ).
fof(f2549,plain,
( ~ spl24_9
| ~ spl24_10 ),
inference(avatar_contradiction_clause,[],[f2548]) ).
fof(f2550,plain,
( e1 = e2
| ~ spl24_8
| ~ spl24_9 ),
inference(forward_demodulation,[],[f376,f380]) ).
fof(f2556,plain,
( e1 != op(e0,e4)
| ~ spl24_20
| spl24_163 ),
inference(forward_demodulation,[],[f1090,f426]) ).
fof(f2558,plain,
( $false
| ~ spl24_8
| ~ spl24_9 ),
inference(forward_subsumption_resolution,[],[f2550,f148]) ).
fof(f2559,plain,
( ~ spl24_8
| ~ spl24_9 ),
inference(avatar_contradiction_clause,[],[f2558]) ).
fof(f2562,plain,
( e0 = e1
| ~ spl24_19
| ~ spl24_20 ),
inference(forward_demodulation,[],[f422,f426]) ).
fof(f2565,plain,
( $false
| ~ spl24_44
| ~ spl24_84
| spl24_177 ),
inference(forward_subsumption_resolution,[],[f2387,f695]) ).
fof(f2566,plain,
( ~ spl24_44
| ~ spl24_84
| spl24_177 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2569,plain,
( $false
| ~ spl24_19
| ~ spl24_20 ),
inference(forward_subsumption_resolution,[],[f2562,f152]) ).
fof(f2570,plain,
( ~ spl24_19
| ~ spl24_20 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2581,plain,
( e1 = e3
| ~ spl24_12
| ~ spl24_14 ),
inference(superposition,[],[f401,f393]) ).
fof(f2582,plain,
( e1 = e3
| ~ spl24_12
| ~ spl24_14 ),
inference(superposition,[],[f393,f401]) ).
fof(f2584,plain,
( $false
| ~ spl24_12
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f2582,f147]) ).
fof(f2585,plain,
( ~ spl24_12
| ~ spl24_14 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2586,plain,
( $false
| ~ spl24_12
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f2581,f147]) ).
fof(f2587,plain,
( ~ spl24_12
| ~ spl24_14 ),
inference(avatar_contradiction_clause,[],[f2586]) ).
fof(f2589,plain,
( e0 = e3
| ~ spl24_17
| ~ spl24_20 ),
inference(forward_demodulation,[],[f414,f426]) ).
fof(f2604,plain,
( $false
| ~ spl24_17
| ~ spl24_20 ),
inference(forward_subsumption_resolution,[],[f2589,f150]) ).
fof(f2605,plain,
( ~ spl24_17
| ~ spl24_20 ),
inference(avatar_contradiction_clause,[],[f2604]) ).
fof(f2624,plain,
( e2 = op(e4,e3)
| ~ spl24_56
| ~ spl24_184 ),
inference(forward_demodulation,[],[f1199,f578]) ).
fof(f2640,plain,
( e0 = op(e3,e4)
| ~ spl24_10
| ~ spl24_159 ),
inference(forward_demodulation,[],[f1069,f384]) ).
fof(f2644,plain,
( $false
| spl24_8
| ~ spl24_56
| ~ spl24_184 ),
inference(forward_subsumption_resolution,[],[f2624,f375]) ).
fof(f2645,plain,
( spl24_8
| ~ spl24_56
| ~ spl24_184 ),
inference(avatar_contradiction_clause,[],[f2644]) ).
fof(f2653,plain,
( spl24_30
| ~ spl24_10
| ~ spl24_159 ),
inference(avatar_split_clause,[],[f2640,f1068,f382,f466]) ).
fof(f2661,plain,
( e1 = op(e0,e2)
| ~ spl24_70
| ~ spl24_186 ),
inference(forward_demodulation,[],[f1211,f636]) ).
fof(f2678,plain,
( e4 != op(e0,e4)
| ~ spl24_21
| spl24_168 ),
inference(forward_demodulation,[],[f1115,f431]) ).
fof(f2682,plain,
( e0 = op(e4,e4)
| ~ spl24_101
| ~ spl24_203 ),
inference(forward_demodulation,[],[f1302,f767]) ).
fof(f2683,plain,
( $false
| ~ spl24_21
| ~ spl24_101
| spl24_168 ),
inference(forward_subsumption_resolution,[],[f2678,f767]) ).
fof(f2684,plain,
( ~ spl24_21
| ~ spl24_101
| spl24_168 ),
inference(avatar_contradiction_clause,[],[f2683]) ).
fof(f2687,plain,
( spl24_5
| ~ spl24_101
| ~ spl24_203 ),
inference(avatar_split_clause,[],[f2682,f1300,f765,f361]) ).
fof(f2688,plain,
( e4 = op(e0,e3)
| ~ spl24_10
| ~ spl24_158 ),
inference(forward_demodulation,[],[f1065,f384]) ).
fof(f2693,plain,
( e3 = e4
| ~ spl24_10
| ~ spl24_107
| ~ spl24_158 ),
inference(forward_demodulation,[],[f2688,f792]) ).
fof(f2697,plain,
( $false
| ~ spl24_10
| ~ spl24_107
| ~ spl24_158 ),
inference(forward_subsumption_resolution,[],[f2693,f143]) ).
fof(f2698,plain,
( ~ spl24_10
| ~ spl24_107
| ~ spl24_158 ),
inference(avatar_contradiction_clause,[],[f2697]) ).
fof(f2699,plain,
( e0 = e3
| ~ spl24_77
| ~ spl24_80 ),
inference(forward_demodulation,[],[f666,f678]) ).
fof(f2708,plain,
( $false
| ~ spl24_77
| ~ spl24_80 ),
inference(forward_subsumption_resolution,[],[f2699,f150]) ).
fof(f2709,plain,
( ~ spl24_77
| ~ spl24_80 ),
inference(avatar_contradiction_clause,[],[f2708]) ).
fof(f2718,plain,
( e1 = e3
| ~ spl24_82
| ~ spl24_84 ),
inference(forward_demodulation,[],[f687,f695]) ).
fof(f2719,plain,
( e2 = e4
| ~ spl24_111
| ~ spl24_113 ),
inference(forward_demodulation,[],[f809,f817]) ).
fof(f2733,plain,
( $false
| ~ spl24_82
| ~ spl24_84 ),
inference(forward_subsumption_resolution,[],[f2718,f147]) ).
fof(f2734,plain,
( ~ spl24_82
| ~ spl24_84 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2735,plain,
( $false
| ~ spl24_111
| ~ spl24_113 ),
inference(forward_subsumption_resolution,[],[f2719,f144]) ).
fof(f2736,plain,
( ~ spl24_111
| ~ spl24_113 ),
inference(avatar_contradiction_clause,[],[f2735]) ).
fof(f2752,plain,
( e0 = e4
| ~ spl24_86
| ~ spl24_90 ),
inference(forward_demodulation,[],[f704,f720]) ).
fof(f2774,plain,
( $false
| ~ spl24_86
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f2752,f149]) ).
fof(f2775,plain,
( ~ spl24_86
| ~ spl24_90 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2789,plain,
( e1 = e4
| ~ spl24_111
| ~ spl24_114 ),
inference(forward_demodulation,[],[f809,f821]) ).
fof(f2797,plain,
( e2 = op(e1,e0)
| ~ spl24_114
| ~ spl24_206 ),
inference(forward_demodulation,[],[f1318,f821]) ).
fof(f2798,plain,
( e0 != op(e1,e2)
| ~ spl24_114
| spl24_207 ),
inference(forward_demodulation,[],[f1323,f821]) ).
fof(f2799,plain,
( e3 = op(e2,e0)
| ~ spl24_108
| ~ spl24_204 ),
inference(forward_demodulation,[],[f1307,f796]) ).
fof(f2805,plain,
( $false
| ~ spl24_111
| ~ spl24_114 ),
inference(forward_subsumption_resolution,[],[f2789,f146]) ).
fof(f2806,plain,
( ~ spl24_111
| ~ spl24_114 ),
inference(avatar_contradiction_clause,[],[f2805]) ).
fof(f2810,plain,
( e1 = e2
| ~ spl24_99
| ~ spl24_114
| ~ spl24_206 ),
inference(forward_demodulation,[],[f2797,f758]) ).
fof(f2811,plain,
( $false
| ~ spl24_90
| ~ spl24_114
| spl24_207 ),
inference(forward_subsumption_resolution,[],[f2798,f720]) ).
fof(f2812,plain,
( ~ spl24_90
| ~ spl24_114
| spl24_207 ),
inference(avatar_contradiction_clause,[],[f2811]) ).
fof(f2813,plain,
( e2 = e3
| ~ spl24_73
| ~ spl24_108
| ~ spl24_204 ),
inference(forward_demodulation,[],[f2799,f649]) ).
fof(f2819,plain,
( $false
| ~ spl24_99
| ~ spl24_114
| ~ spl24_206 ),
inference(forward_subsumption_resolution,[],[f2810,f148]) ).
fof(f2820,plain,
( ~ spl24_99
| ~ spl24_114
| ~ spl24_206 ),
inference(avatar_contradiction_clause,[],[f2819]) ).
fof(f2821,plain,
( $false
| ~ spl24_73
| ~ spl24_108
| ~ spl24_204 ),
inference(forward_subsumption_resolution,[],[f2813,f145]) ).
fof(f2822,plain,
( ~ spl24_73
| ~ spl24_108
| ~ spl24_204 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2846,plain,
( e2 = op(e1,e2)
| ~ spl24_129 ),
inference(superposition,[],[f309,f884]) ).
fof(f2858,plain,
( e0 = e2
| ~ spl24_90
| ~ spl24_129 ),
inference(forward_demodulation,[],[f2846,f720]) ).
fof(f2864,plain,
( $false
| ~ spl24_90
| ~ spl24_129 ),
inference(forward_subsumption_resolution,[],[f2858,f151]) ).
fof(f2865,plain,
( ~ spl24_90
| ~ spl24_129 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
fof(f2918,plain,
( e2 = op(e4,e2)
| ~ spl24_126 ),
inference(superposition,[],[f309,f872]) ).
fof(f2926,plain,
( spl24_13
| ~ spl24_126 ),
inference(avatar_split_clause,[],[f2918,f870,f395]) ).
fof(f2937,plain,
( e2 = e3
| ~ spl24_37
| ~ spl24_38 ),
inference(forward_demodulation,[],[f498,f502]) ).
fof(f2987,plain,
( $false
| ~ spl24_37
| ~ spl24_38 ),
inference(forward_subsumption_resolution,[],[f2937,f145]) ).
fof(f2988,plain,
( ~ spl24_37
| ~ spl24_38 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
fof(f3013,plain,
( e0 = e2
| ~ spl24_28
| ~ spl24_30 ),
inference(forward_demodulation,[],[f460,f468]) ).
fof(f3017,plain,
( e4 = op(e2,e3)
| ~ spl24_8
| ~ spl24_158 ),
inference(forward_demodulation,[],[f1065,f376]) ).
fof(f3037,plain,
( $false
| ~ spl24_28
| ~ spl24_30 ),
inference(forward_subsumption_resolution,[],[f3013,f151]) ).
fof(f3038,plain,
( ~ spl24_28
| ~ spl24_30 ),
inference(avatar_contradiction_clause,[],[f3037]) ).
fof(f3072,plain,
( e1 = e2
| ~ spl24_98
| ~ spl24_99 ),
inference(forward_demodulation,[],[f754,f758]) ).
fof(f3073,plain,
( e0 = e1
| ~ spl24_109
| ~ spl24_110 ),
inference(forward_demodulation,[],[f800,f804]) ).
fof(f3087,plain,
( e1 != op(e4,e2)
| ~ spl24_66
| spl24_186 ),
inference(forward_demodulation,[],[f1212,f620]) ).
fof(f3095,plain,
( e2 = e4
| ~ spl24_8
| ~ spl24_58
| ~ spl24_158 ),
inference(forward_demodulation,[],[f3017,f586]) ).
fof(f3109,plain,
( $false
| ~ spl24_98
| ~ spl24_99 ),
inference(forward_subsumption_resolution,[],[f3072,f148]) ).
fof(f3110,plain,
( ~ spl24_98
| ~ spl24_99 ),
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3111,plain,
( $false
| ~ spl24_109
| ~ spl24_110 ),
inference(forward_subsumption_resolution,[],[f3073,f152]) ).
fof(f3112,plain,
( ~ spl24_109
| ~ spl24_110 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3120,plain,
( $false
| ~ spl24_14
| ~ spl24_66
| spl24_186 ),
inference(forward_subsumption_resolution,[],[f3087,f401]) ).
fof(f3121,plain,
( ~ spl24_14
| ~ spl24_66
| spl24_186 ),
inference(avatar_contradiction_clause,[],[f3120]) ).
fof(f3127,plain,
( $false
| ~ spl24_8
| ~ spl24_58
| ~ spl24_158 ),
inference(forward_subsumption_resolution,[],[f3095,f144]) ).
fof(f3128,plain,
( ~ spl24_8
| ~ spl24_58
| ~ spl24_158 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3138,plain,
( e0 = e2
| ~ spl24_88
| ~ spl24_90 ),
inference(forward_demodulation,[],[f712,f720]) ).
fof(f3146,plain,
( e2 = e4
| ~ spl24_121
| ~ spl24_123 ),
inference(forward_demodulation,[],[f851,f859]) ).
fof(f3152,plain,
( $false
| ~ spl24_88
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f3138,f151]) ).
fof(f3153,plain,
( ~ spl24_88
| ~ spl24_90 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3155,plain,
( $false
| ~ spl24_121
| ~ spl24_123 ),
inference(forward_subsumption_resolution,[],[f3146,f144]) ).
fof(f3156,plain,
( ~ spl24_121
| ~ spl24_123 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3196,plain,
( e1 = e2
| ~ spl24_123
| ~ spl24_124 ),
inference(forward_demodulation,[],[f859,f863]) ).
fof(f3211,plain,
( $false
| ~ spl24_123
| ~ spl24_124 ),
inference(forward_subsumption_resolution,[],[f3196,f148]) ).
fof(f3212,plain,
( ~ spl24_123
| ~ spl24_124 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3219,plain,
( e0 = e2
| ~ spl24_123
| ~ spl24_125 ),
inference(forward_demodulation,[],[f859,f867]) ).
fof(f3222,plain,
( $false
| ~ spl24_123
| ~ spl24_125 ),
inference(forward_subsumption_resolution,[],[f3219,f151]) ).
fof(f3223,plain,
( ~ spl24_123
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f3222]) ).
fof(f3227,plain,
( e1 = e2
| ~ spl24_78
| ~ spl24_79 ),
inference(forward_demodulation,[],[f670,f674]) ).
fof(f3256,plain,
( $false
| ~ spl24_78
| ~ spl24_79 ),
inference(forward_subsumption_resolution,[],[f3227,f148]) ).
fof(f3257,plain,
( ~ spl24_78
| ~ spl24_79 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3270,plain,
( ~ spl24_30
| ~ spl24_10
| spl24_159 ),
inference(avatar_split_clause,[],[f1640,f1068,f382,f466]) ).
fof(f3359,plain,
( e1 = e4
| ~ spl24_11
| ~ spl24_14 ),
inference(superposition,[],[f401,f389]) ).
fof(f3363,plain,
( $false
| ~ spl24_11
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f3359,f146]) ).
fof(f3364,plain,
( ~ spl24_11
| ~ spl24_14 ),
inference(avatar_contradiction_clause,[],[f3363]) ).
fof(f3379,plain,
( e4 = op(e1,e2)
| ~ spl24_14
| ~ spl24_161 ),
inference(forward_demodulation,[],[f1080,f401]) ).
fof(f3385,plain,
( e0 = e4
| ~ spl24_14
| ~ spl24_90
| ~ spl24_161 ),
inference(forward_demodulation,[],[f3379,f720]) ).
fof(f3386,plain,
( $false
| ~ spl24_14
| ~ spl24_90
| ~ spl24_161 ),
inference(forward_subsumption_resolution,[],[f3385,f149]) ).
fof(f3387,plain,
( ~ spl24_14
| ~ spl24_90
| ~ spl24_161 ),
inference(avatar_contradiction_clause,[],[f3386]) ).
fof(f3427,plain,
( spl24_92
| ~ spl24_44
| ~ spl24_176 ),
inference(avatar_split_clause,[],[f2386,f1156,f525,f727]) ).
fof(f3429,plain,
( e1 = e2
| ~ spl24_68
| ~ spl24_69 ),
inference(forward_demodulation,[],[f628,f632]) ).
fof(f3432,plain,
( e0 = e1
| ~ spl24_124
| ~ spl24_125 ),
inference(forward_demodulation,[],[f863,f867]) ).
fof(f3446,plain,
( $false
| ~ spl24_68
| ~ spl24_69 ),
inference(forward_subsumption_resolution,[],[f3429,f148]) ).
fof(f3447,plain,
( ~ spl24_68
| ~ spl24_69 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3448,plain,
( $false
| ~ spl24_124
| ~ spl24_125 ),
inference(forward_subsumption_resolution,[],[f3432,f152]) ).
fof(f3449,plain,
( ~ spl24_124
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f3448]) ).
fof(f3461,plain,
( e0 = e3
| ~ spl24_32
| ~ spl24_35 ),
inference(forward_demodulation,[],[f477,f489]) ).
fof(f3466,plain,
( e1 = e2
| ~ spl24_118
| ~ spl24_119 ),
inference(forward_demodulation,[],[f838,f842]) ).
fof(f3481,plain,
( e0 = op(e3,e1)
| ~ spl24_97
| ~ spl24_199 ),
inference(forward_demodulation,[],[f1281,f750]) ).
fof(f3490,plain,
( $false
| ~ spl24_32
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f3461,f150]) ).
fof(f3491,plain,
( ~ spl24_32
| ~ spl24_35 ),
inference(avatar_contradiction_clause,[],[f3490]) ).
fof(f3496,plain,
( $false
| ~ spl24_118
| ~ spl24_119 ),
inference(forward_subsumption_resolution,[],[f3466,f148]) ).
fof(f3497,plain,
( ~ spl24_118
| ~ spl24_119 ),
inference(avatar_contradiction_clause,[],[f3496]) ).
fof(f3504,plain,
( spl24_45
| ~ spl24_97
| ~ spl24_199 ),
inference(avatar_split_clause,[],[f3481,f1280,f748,f529]) ).
fof(f3523,plain,
( e3 = op(e4,e4)
| ~ spl24_26
| ~ spl24_170 ),
inference(forward_demodulation,[],[f1125,f452]) ).
fof(f3582,plain,
( e1 = e3
| ~ spl24_77
| ~ spl24_79 ),
inference(forward_demodulation,[],[f666,f674]) ).
fof(f3585,plain,
( $false
| ~ spl24_77
| ~ spl24_79 ),
inference(forward_subsumption_resolution,[],[f3582,f147]) ).
fof(f3586,plain,
( ~ spl24_77
| ~ spl24_79 ),
inference(avatar_contradiction_clause,[],[f3585]) ).
fof(f3588,plain,
( e2 = e3
| ~ spl24_82
| ~ spl24_83 ),
inference(forward_demodulation,[],[f687,f691]) ).
fof(f3606,plain,
( $false
| ~ spl24_82
| ~ spl24_83 ),
inference(forward_subsumption_resolution,[],[f3588,f145]) ).
fof(f3607,plain,
( ~ spl24_82
| ~ spl24_83 ),
inference(avatar_contradiction_clause,[],[f3606]) ).
fof(f3619,plain,
( e1 = op(e3,e4)
| ~ spl24_77
| ~ spl24_193 ),
inference(forward_demodulation,[],[f1247,f666]) ).
fof(f3625,plain,
( $false
| spl24_29
| ~ spl24_77
| ~ spl24_193 ),
inference(forward_subsumption_resolution,[],[f3619,f463]) ).
fof(f3626,plain,
( spl24_29
| ~ spl24_77
| ~ spl24_193 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
fof(f3639,plain,
( e4 = op(e4,e3)
| ~ spl24_127 ),
inference(superposition,[],[f304,f876]) ).
fof(f3641,plain,
( e3 = op(e3,e3)
| ~ spl24_127 ),
inference(superposition,[],[f306,f876]) ).
fof(f3643,plain,
( e2 = op(e2,e3)
| ~ spl24_127 ),
inference(superposition,[],[f308,f876]) ).
fof(f3648,plain,
( e0 = op(e3,e0)
| ~ spl24_127 ),
inference(superposition,[],[f313,f876]) ).
fof(f3651,plain,
( spl24_50
| ~ spl24_127 ),
inference(avatar_split_clause,[],[f3648,f874,f550]) ).
fof(f3652,plain,
( spl24_58
| ~ spl24_127 ),
inference(avatar_split_clause,[],[f3643,f874,f584]) ).
fof(f3654,plain,
( e0 = e3
| ~ spl24_35
| ~ spl24_127 ),
inference(forward_demodulation,[],[f3641,f489]) ).
fof(f3655,plain,
( $false
| spl24_6
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f3639,f367]) ).
fof(f3656,plain,
( spl24_6
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3659,plain,
( $false
| ~ spl24_35
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f3654,f150]) ).
fof(f3660,plain,
( ~ spl24_35
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3679,plain,
( e4 = op(e3,e1)
| ~ spl24_17
| ~ spl24_164 ),
inference(forward_demodulation,[],[f1095,f414]) ).
fof(f3680,plain,
( e3 != op(e1,e4)
| ~ spl24_17
| spl24_165 ),
inference(forward_demodulation,[],[f1100,f414]) ).
fof(f3720,plain,
( e2 != op(e4,e4)
| ~ spl24_11
| spl24_160 ),
inference(forward_demodulation,[],[f1075,f389]) ).
fof(f3721,plain,
( e4 != op(e4,e2)
| ~ spl24_11
| spl24_161 ),
inference(forward_demodulation,[],[f1079,f389]) ).
fof(f3722,plain,
( $false
| ~ spl24_17
| spl24_41
| ~ spl24_164 ),
inference(forward_subsumption_resolution,[],[f3679,f514]) ).
fof(f3723,plain,
( ~ spl24_17
| spl24_41
| ~ spl24_164 ),
inference(avatar_contradiction_clause,[],[f3722]) ).
fof(f3730,plain,
( $false
| ~ spl24_3
| ~ spl24_11
| spl24_160 ),
inference(forward_subsumption_resolution,[],[f3720,f355]) ).
fof(f3731,plain,
( ~ spl24_3
| ~ spl24_11
| spl24_160 ),
inference(avatar_contradiction_clause,[],[f3730]) ).
fof(f3732,plain,
( $false
| ~ spl24_11
| spl24_161 ),
inference(forward_subsumption_resolution,[],[f3721,f389]) ).
fof(f3733,plain,
( ~ spl24_11
| spl24_161 ),
inference(avatar_contradiction_clause,[],[f3732]) ).
fof(f3747,plain,
( e4 = op(e0,e4)
| ~ spl24_130 ),
inference(superposition,[],[f305,f888]) ).
fof(f3759,plain,
( $false
| spl24_101
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f3747,f766]) ).
fof(f3760,plain,
( spl24_101
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f3759]) ).
fof(f3768,plain,
( e2 = e3
| ~ spl24_2
| ~ spl24_3 ),
inference(superposition,[],[f355,f351]) ).
fof(f3773,plain,
( $false
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f3768,f145]) ).
fof(f3774,plain,
( ~ spl24_2
| ~ spl24_3 ),
inference(avatar_contradiction_clause,[],[f3773]) ).
fof(f3796,plain,
( e1 = e3
| ~ spl24_17
| ~ spl24_19 ),
inference(superposition,[],[f422,f414]) ).
fof(f3797,plain,
( e1 = e3
| ~ spl24_17
| ~ spl24_19 ),
inference(superposition,[],[f414,f422]) ).
fof(f3798,plain,
( $false
| ~ spl24_17
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f3797,f147]) ).
fof(f3799,plain,
( ~ spl24_17
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3800,plain,
( $false
| ~ spl24_17
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f3796,f147]) ).
fof(f3801,plain,
( ~ spl24_17
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f3800]) ).
fof(f3808,plain,
( e2 = e3
| ~ spl24_32
| ~ spl24_33 ),
inference(forward_demodulation,[],[f477,f481]) ).
fof(f3817,plain,
( e0 = e3
| ~ spl24_122
| ~ spl24_125 ),
inference(forward_demodulation,[],[f855,f867]) ).
fof(f3868,plain,
( $false
| ~ spl24_32
| ~ spl24_33 ),
inference(forward_subsumption_resolution,[],[f3808,f145]) ).
fof(f3869,plain,
( ~ spl24_32
| ~ spl24_33 ),
inference(avatar_contradiction_clause,[],[f3868]) ).
fof(f3872,plain,
( $false
| ~ spl24_122
| ~ spl24_125 ),
inference(forward_subsumption_resolution,[],[f3817,f150]) ).
fof(f3873,plain,
( ~ spl24_122
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f3872]) ).
fof(f3899,plain,
( e2 = e3
| ~ spl24_22
| ~ spl24_23 ),
inference(forward_demodulation,[],[f435,f439]) ).
fof(f3900,plain,
( e0 = e2
| ~ spl24_48
| ~ spl24_50 ),
inference(forward_demodulation,[],[f544,f552]) ).
fof(f3902,plain,
( e0 = e4
| ~ spl24_121
| ~ spl24_125 ),
inference(forward_demodulation,[],[f851,f867]) ).
fof(f3919,plain,
( e0 = op(e3,e1)
| ~ spl24_117
| ~ spl24_209 ),
inference(forward_demodulation,[],[f1335,f834]) ).
fof(f3920,plain,
( $false
| ~ spl24_22
| ~ spl24_23 ),
inference(forward_subsumption_resolution,[],[f3899,f145]) ).
fof(f3921,plain,
( ~ spl24_22
| ~ spl24_23 ),
inference(avatar_contradiction_clause,[],[f3920]) ).
fof(f3922,plain,
( $false
| ~ spl24_48
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f3900,f151]) ).
fof(f3923,plain,
( ~ spl24_48
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f3922]) ).
fof(f3924,plain,
( $false
| ~ spl24_121
| ~ spl24_125 ),
inference(forward_subsumption_resolution,[],[f3902,f149]) ).
fof(f3925,plain,
( ~ spl24_121
| ~ spl24_125 ),
inference(avatar_contradiction_clause,[],[f3924]) ).
fof(f3930,plain,
( e0 = e3
| ~ spl24_2
| ~ spl24_5 ),
inference(forward_demodulation,[],[f351,f363]) ).
fof(f3984,plain,
( $false
| ~ spl24_2
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f3930,f150]) ).
fof(f3985,plain,
( ~ spl24_2
| ~ spl24_5 ),
inference(avatar_contradiction_clause,[],[f3984]) ).
fof(f4032,plain,
( e2 != op(e2,e3)
| ~ spl24_58
| spl24_184 ),
inference(forward_demodulation,[],[f1198,f586]) ).
fof(f4041,plain,
( e4 = op(e3,e2)
| ~ spl24_12
| ~ spl24_161 ),
inference(forward_demodulation,[],[f1080,f393]) ).
fof(f4055,plain,
( $false
| ~ spl24_58
| spl24_184 ),
inference(forward_subsumption_resolution,[],[f4032,f586]) ).
fof(f4056,plain,
( ~ spl24_58
| spl24_184 ),
inference(avatar_contradiction_clause,[],[f4055]) ).
fof(f4067,plain,
( e2 = op(e3,e4)
| ~ spl24_12
| ~ spl24_160 ),
inference(forward_demodulation,[],[f1074,f393]) ).
fof(f4112,plain,
( e2 = e3
| ~ spl24_12
| ~ spl24_13 ),
inference(superposition,[],[f397,f393]) ).
fof(f4116,plain,
( $false
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_subsumption_resolution,[],[f4112,f145]) ).
fof(f4117,plain,
( ~ spl24_12
| ~ spl24_13 ),
inference(avatar_contradiction_clause,[],[f4116]) ).
fof(f4147,plain,
( e2 != op(e1,e3)
| ~ spl24_43
| spl24_177 ),
inference(forward_demodulation,[],[f1163,f523]) ).
fof(f4155,plain,
( e4 != op(e4,e3)
| ~ spl24_6
| spl24_158 ),
inference(forward_demodulation,[],[f1064,f368]) ).
fof(f4165,plain,
( $false
| ~ spl24_6
| spl24_158 ),
inference(forward_subsumption_resolution,[],[f4155,f368]) ).
fof(f4166,plain,
( ~ spl24_6
| spl24_158 ),
inference(avatar_contradiction_clause,[],[f4165]) ).
fof(f4172,plain,
( e3 = op(e2,e1)
| ~ spl24_43
| ~ spl24_176 ),
inference(forward_demodulation,[],[f1158,f523]) ).
fof(f4182,plain,
( e2 = op(e3,e2)
| ~ spl24_127 ),
inference(superposition,[],[f309,f876]) ).
fof(f4183,plain,
( e1 = op(e1,e3)
| ~ spl24_127 ),
inference(superposition,[],[f310,f876]) ).
fof(f4184,plain,
( e1 = op(e3,e1)
| ~ spl24_127 ),
inference(superposition,[],[f311,f876]) ).
fof(f4189,plain,
( $false
| spl24_44
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f4184,f526]) ).
fof(f4190,plain,
( spl24_44
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f4189]) ).
fof(f4191,plain,
( spl24_84
| ~ spl24_127 ),
inference(avatar_split_clause,[],[f4183,f874,f693]) ).
fof(f4192,plain,
( $false
| spl24_38
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f4182,f501]) ).
fof(f4193,plain,
( spl24_38
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f4192]) ).
fof(f4198,plain,
( ~ spl24_52
| ~ spl24_12
| spl24_162 ),
inference(avatar_split_clause,[],[f2542,f1083,f391,f559]) ).
fof(f4231,plain,
( $false
| ~ spl24_43
| ~ spl24_83
| spl24_177 ),
inference(forward_subsumption_resolution,[],[f4147,f691]) ).
fof(f4232,plain,
( ~ spl24_43
| ~ spl24_83
| spl24_177 ),
inference(avatar_contradiction_clause,[],[f4231]) ).
fof(f4304,plain,
( ~ spl24_77
| ~ spl24_17
| spl24_165 ),
inference(avatar_split_clause,[],[f3680,f1098,f412,f664]) ).
fof(f4407,plain,
( e3 = e4
| ~ spl24_81
| ~ spl24_82 ),
inference(forward_demodulation,[],[f683,f687]) ).
fof(f4426,plain,
( $false
| ~ spl24_81
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f4407,f143]) ).
fof(f4427,plain,
( ~ spl24_81
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f4426]) ).
fof(f4434,plain,
( e2 = e3
| ~ spl24_77
| ~ spl24_78 ),
inference(forward_demodulation,[],[f666,f670]) ).
fof(f4439,plain,
( $false
| ~ spl24_77
| ~ spl24_78 ),
inference(forward_subsumption_resolution,[],[f4434,f145]) ).
fof(f4440,plain,
( ~ spl24_77
| ~ spl24_78 ),
inference(avatar_contradiction_clause,[],[f4439]) ).
fof(f4450,plain,
( e1 = e2
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f355,f359]) ).
fof(f4457,plain,
( $false
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f4450,f148]) ).
fof(f4458,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(avatar_contradiction_clause,[],[f4457]) ).
fof(f4485,plain,
( e2 = e4
| ~ spl24_11
| ~ spl24_13 ),
inference(superposition,[],[f397,f389]) ).
fof(f4489,plain,
( $false
| ~ spl24_11
| ~ spl24_13 ),
inference(forward_subsumption_resolution,[],[f4485,f144]) ).
fof(f4490,plain,
( ~ spl24_11
| ~ spl24_13 ),
inference(avatar_contradiction_clause,[],[f4489]) ).
fof(f4491,plain,
( e1 = e3
| ~ spl24_2
| ~ spl24_4 ),
inference(forward_demodulation,[],[f351,f359]) ).
fof(f4556,plain,
( $false
| ~ spl24_2
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f4491,f147]) ).
fof(f4557,plain,
( ~ spl24_2
| ~ spl24_4 ),
inference(avatar_contradiction_clause,[],[f4556]) ).
fof(f4669,plain,
( e1 = op(e2,e0)
| ~ spl24_98
| ~ spl24_200 ),
inference(forward_demodulation,[],[f1287,f754]) ).
fof(f4674,plain,
( e3 = op(e4,e2)
| ~ spl24_36
| ~ spl24_173 ),
inference(forward_demodulation,[],[f1143,f494]) ).
fof(f4703,plain,
( spl24_74
| ~ spl24_98
| ~ spl24_200 ),
inference(avatar_split_clause,[],[f4669,f1285,f752,f651]) ).
fof(f4707,plain,
( $false
| spl24_12
| ~ spl24_36
| ~ spl24_173 ),
inference(forward_subsumption_resolution,[],[f4674,f392]) ).
fof(f4708,plain,
( spl24_12
| ~ spl24_36
| ~ spl24_173 ),
inference(avatar_contradiction_clause,[],[f4707]) ).
fof(f4726,plain,
( e0 != op(e2,e1)
| ~ spl24_98
| spl24_199 ),
inference(forward_demodulation,[],[f1282,f754]) ).
fof(f4728,plain,
( e2 != op(e0,e1)
| ~ spl24_98
| spl24_201 ),
inference(forward_demodulation,[],[f1292,f754]) ).
fof(f4771,plain,
( $false
| ~ spl24_98
| ~ spl24_118
| spl24_201 ),
inference(forward_subsumption_resolution,[],[f4728,f838]) ).
fof(f4772,plain,
( ~ spl24_98
| ~ spl24_118
| spl24_201 ),
inference(avatar_contradiction_clause,[],[f4771]) ).
fof(f4810,plain,
( e0 = e4
| ~ spl24_21
| ~ spl24_25 ),
inference(superposition,[],[f447,f431]) ).
fof(f4814,plain,
( $false
| ~ spl24_21
| ~ spl24_25 ),
inference(forward_subsumption_resolution,[],[f4810,f149]) ).
fof(f4815,plain,
( ~ spl24_21
| ~ spl24_25 ),
inference(avatar_contradiction_clause,[],[f4814]) ).
fof(f4817,plain,
( e2 = e4
| ~ spl24_96
| ~ spl24_98 ),
inference(forward_demodulation,[],[f746,f754]) ).
fof(f4827,plain,
( $false
| ~ spl24_96
| ~ spl24_98 ),
inference(forward_subsumption_resolution,[],[f4817,f144]) ).
fof(f4828,plain,
( ~ spl24_96
| ~ spl24_98 ),
inference(avatar_contradiction_clause,[],[f4827]) ).
fof(f4921,plain,
( e1 = e2
| ~ spl24_58
| ~ spl24_59 ),
inference(superposition,[],[f590,f586]) ).
fof(f4926,plain,
( $false
| ~ spl24_58
| ~ spl24_59 ),
inference(forward_subsumption_resolution,[],[f4921,f148]) ).
fof(f4927,plain,
( ~ spl24_58
| ~ spl24_59 ),
inference(avatar_contradiction_clause,[],[f4926]) ).
fof(f4941,plain,
( e2 = e4
| ~ spl24_61
| ~ spl24_63 ),
inference(superposition,[],[f607,f599]) ).
fof(f4945,plain,
( $false
| ~ spl24_61
| ~ spl24_63 ),
inference(forward_subsumption_resolution,[],[f4941,f144]) ).
fof(f4946,plain,
( ~ spl24_61
| ~ spl24_63 ),
inference(avatar_contradiction_clause,[],[f4945]) ).
fof(f4947,plain,
( e0 = e1
| ~ spl24_24
| ~ spl24_25 ),
inference(forward_demodulation,[],[f443,f447]) ).
fof(f4963,plain,
( $false
| ~ spl24_24
| ~ spl24_25 ),
inference(forward_subsumption_resolution,[],[f4947,f152]) ).
fof(f4964,plain,
( ~ spl24_24
| ~ spl24_25 ),
inference(avatar_contradiction_clause,[],[f4963]) ).
fof(f4970,plain,
( e1 = e4
| ~ spl24_61
| ~ spl24_64 ),
inference(superposition,[],[f611,f599]) ).
fof(f4974,plain,
( $false
| ~ spl24_61
| ~ spl24_64 ),
inference(forward_subsumption_resolution,[],[f4970,f146]) ).
fof(f4975,plain,
( ~ spl24_61
| ~ spl24_64 ),
inference(avatar_contradiction_clause,[],[f4974]) ).
fof(f4978,plain,
( e0 = op(e3,e2)
| ~ spl24_112
| ~ spl24_207 ),
inference(forward_demodulation,[],[f1324,f813]) ).
fof(f4986,plain,
( spl24_40
| ~ spl24_112
| ~ spl24_207 ),
inference(avatar_split_clause,[],[f4978,f1322,f811,f508]) ).
fof(f4989,plain,
( e0 = e1
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f611,f615]) ).
fof(f4998,plain,
( $false
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_subsumption_resolution,[],[f4989,f152]) ).
fof(f4999,plain,
( ~ spl24_64
| ~ spl24_65 ),
inference(avatar_contradiction_clause,[],[f4998]) ).
fof(f5011,plain,
( e2 = e3
| ~ spl24_67
| ~ spl24_68 ),
inference(superposition,[],[f628,f624]) ).
fof(f5016,plain,
( $false
| ~ spl24_67
| ~ spl24_68 ),
inference(forward_subsumption_resolution,[],[f5011,f145]) ).
fof(f5017,plain,
( ~ spl24_67
| ~ spl24_68 ),
inference(avatar_contradiction_clause,[],[f5016]) ).
fof(f5024,plain,
( e1 = e4
| ~ spl24_71
| ~ spl24_74 ),
inference(superposition,[],[f653,f641]) ).
fof(f5029,plain,
( $false
| ~ spl24_71
| ~ spl24_74 ),
inference(forward_subsumption_resolution,[],[f5024,f146]) ).
fof(f5030,plain,
( ~ spl24_71
| ~ spl24_74 ),
inference(avatar_contradiction_clause,[],[f5029]) ).
fof(f5044,plain,
( e0 = e4
| ~ spl24_71
| ~ spl24_75 ),
inference(superposition,[],[f657,f641]) ).
fof(f5049,plain,
( $false
| ~ spl24_71
| ~ spl24_75 ),
inference(forward_subsumption_resolution,[],[f5044,f149]) ).
fof(f5050,plain,
( ~ spl24_71
| ~ spl24_75 ),
inference(avatar_contradiction_clause,[],[f5049]) ).
fof(f5069,plain,
( e0 = e3
| ~ spl24_117
| ~ spl24_120 ),
inference(forward_demodulation,[],[f834,f846]) ).
fof(f5078,plain,
( e0 != op(e0,e1)
| ~ spl24_120
| spl24_209 ),
inference(forward_demodulation,[],[f1334,f846]) ).
fof(f5112,plain,
( $false
| ~ spl24_117
| ~ spl24_120 ),
inference(forward_subsumption_resolution,[],[f5069,f150]) ).
fof(f5113,plain,
( ~ spl24_117
| ~ spl24_120 ),
inference(avatar_contradiction_clause,[],[f5112]) ).
fof(f5120,plain,
( $false
| ~ spl24_120
| spl24_209 ),
inference(forward_subsumption_resolution,[],[f5078,f846]) ).
fof(f5121,plain,
( ~ spl24_120
| spl24_209 ),
inference(avatar_contradiction_clause,[],[f5120]) ).
fof(f5133,plain,
( e1 = e2
| ~ spl24_63
| ~ spl24_64 ),
inference(forward_demodulation,[],[f607,f611]) ).
fof(f5154,plain,
( $false
| ~ spl24_63
| ~ spl24_64 ),
inference(forward_subsumption_resolution,[],[f5133,f148]) ).
fof(f5155,plain,
( ~ spl24_63
| ~ spl24_64 ),
inference(avatar_contradiction_clause,[],[f5154]) ).
fof(f5185,plain,
( spl24_2
| ~ spl24_26
| ~ spl24_170 ),
inference(avatar_split_clause,[],[f3523,f1123,f450,f349]) ).
fof(f5202,plain,
( e3 = e4
| ~ spl24_111
| ~ spl24_112 ),
inference(forward_demodulation,[],[f809,f813]) ).
fof(f5229,plain,
( $false
| ~ spl24_111
| ~ spl24_112 ),
inference(forward_subsumption_resolution,[],[f5202,f143]) ).
fof(f5230,plain,
( ~ spl24_111
| ~ spl24_112 ),
inference(avatar_contradiction_clause,[],[f5229]) ).
fof(f5346,plain,
( e0 = e2
| ~ spl24_58
| ~ spl24_60 ),
inference(forward_demodulation,[],[f586,f594]) ).
fof(f5393,plain,
( e0 != op(e0,e3)
| ~ spl24_50
| spl24_180 ),
inference(forward_demodulation,[],[f1178,f552]) ).
fof(f5394,plain,
( e0 != op(e0,e3)
| ~ spl24_50
| spl24_178 ),
inference(forward_demodulation,[],[f1168,f552]) ).
fof(f5398,plain,
( e2 != op(e2,e3)
| ~ spl24_38
| spl24_174 ),
inference(forward_demodulation,[],[f1148,f502]) ).
fof(f5420,plain,
( $false
| ~ spl24_58
| ~ spl24_60 ),
inference(forward_subsumption_resolution,[],[f5346,f151]) ).
fof(f5421,plain,
( ~ spl24_58
| ~ spl24_60 ),
inference(avatar_contradiction_clause,[],[f5420]) ).
fof(f5452,plain,
( e2 = e4
| ~ spl24_21
| ~ spl24_23 ),
inference(forward_demodulation,[],[f431,f439]) ).
fof(f5515,plain,
( $false
| ~ spl24_38
| ~ spl24_58
| spl24_174 ),
inference(forward_subsumption_resolution,[],[f5398,f586]) ).
fof(f5516,plain,
( ~ spl24_38
| ~ spl24_58
| spl24_174 ),
inference(avatar_contradiction_clause,[],[f5515]) ).
fof(f5517,plain,
( $false
| ~ spl24_21
| ~ spl24_23 ),
inference(forward_subsumption_resolution,[],[f5452,f144]) ).
fof(f5518,plain,
( ~ spl24_21
| ~ spl24_23 ),
inference(avatar_contradiction_clause,[],[f5517]) ).
fof(f5591,plain,
( e0 = op(e0,e3)
| ~ spl24_127 ),
inference(superposition,[],[f312,f876]) ).
fof(f5595,plain,
( $false
| spl24_110
| ~ spl24_127 ),
inference(forward_subsumption_resolution,[],[f5591,f803]) ).
fof(f5596,plain,
( spl24_110
| ~ spl24_127 ),
inference(avatar_contradiction_clause,[],[f5595]) ).
fof(f5599,plain,
( $false
| ~ spl24_50
| ~ spl24_110
| spl24_180 ),
inference(forward_subsumption_resolution,[],[f5393,f804]) ).
fof(f5600,plain,
( ~ spl24_50
| ~ spl24_110
| spl24_180 ),
inference(avatar_contradiction_clause,[],[f5599]) ).
fof(f5601,plain,
( $false
| ~ spl24_50
| ~ spl24_110
| spl24_178 ),
inference(forward_subsumption_resolution,[],[f5394,f804]) ).
fof(f5602,plain,
( ~ spl24_50
| ~ spl24_110
| spl24_178 ),
inference(avatar_contradiction_clause,[],[f5601]) ).
fof(f5605,plain,
( e0 = e4
| ~ spl24_1
| ~ spl24_5 ),
inference(superposition,[],[f363,f347]) ).
fof(f5609,plain,
( $false
| ~ spl24_1
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f5605,f149]) ).
fof(f5610,plain,
( ~ spl24_1
| ~ spl24_5 ),
inference(avatar_contradiction_clause,[],[f5609]) ).
fof(f5633,plain,
( e1 = e2
| ~ spl24_23
| ~ spl24_24 ),
inference(superposition,[],[f443,f439]) ).
fof(f5634,plain,
( e1 = e2
| ~ spl24_23
| ~ spl24_24 ),
inference(superposition,[],[f439,f443]) ).
fof(f5635,plain,
( $false
| ~ spl24_23
| ~ spl24_24 ),
inference(forward_subsumption_resolution,[],[f5634,f148]) ).
fof(f5636,plain,
( ~ spl24_23
| ~ spl24_24 ),
inference(avatar_contradiction_clause,[],[f5635]) ).
fof(f5637,plain,
( $false
| ~ spl24_23
| ~ spl24_24 ),
inference(forward_subsumption_resolution,[],[f5633,f148]) ).
fof(f5638,plain,
( ~ spl24_23
| ~ spl24_24 ),
inference(avatar_contradiction_clause,[],[f5637]) ).
fof(f5639,plain,
( e1 = e3
| ~ spl24_22
| ~ spl24_24 ),
inference(forward_demodulation,[],[f435,f443]) ).
fof(f5656,plain,
( $false
| ~ spl24_22
| ~ spl24_24 ),
inference(forward_subsumption_resolution,[],[f5639,f147]) ).
fof(f5657,plain,
( ~ spl24_22
| ~ spl24_24 ),
inference(avatar_contradiction_clause,[],[f5656]) ).
fof(f5753,plain,
( e1 = e4
| ~ spl24_21
| ~ spl24_24 ),
inference(forward_demodulation,[],[f431,f443]) ).
fof(f5756,plain,
( spl24_78
| ~ spl24_54
| ~ spl24_182 ),
inference(avatar_split_clause,[],[f1934,f1186,f567,f668]) ).
fof(f5778,plain,
( e4 = op(e1,e0)
| ~ spl24_24
| ~ spl24_167 ),
inference(forward_demodulation,[],[f1110,f443]) ).
fof(f5779,plain,
( e1 != op(e0,e4)
| ~ spl24_24
| spl24_168 ),
inference(forward_demodulation,[],[f1115,f443]) ).
fof(f5793,plain,
( e3 = op(e0,e2)
| ~ spl24_72
| ~ spl24_191 ),
inference(forward_demodulation,[],[f1236,f645]) ).
fof(f5805,plain,
( $false
| ~ spl24_21
| ~ spl24_24 ),
inference(forward_subsumption_resolution,[],[f5753,f146]) ).
fof(f5806,plain,
( ~ spl24_21
| ~ spl24_24 ),
inference(avatar_contradiction_clause,[],[f5805]) ).
fof(f5807,plain,
( e3 = e4
| ~ spl24_24
| ~ spl24_97
| ~ spl24_167 ),
inference(forward_demodulation,[],[f5778,f750]) ).
fof(f5815,plain,
( $false
| ~ spl24_24
| ~ spl24_97
| ~ spl24_167 ),
inference(forward_subsumption_resolution,[],[f5807,f143]) ).
fof(f5816,plain,
( ~ spl24_24
| ~ spl24_97
| ~ spl24_167 ),
inference(avatar_contradiction_clause,[],[f5815]) ).
fof(f5852,plain,
( e0 = e4
| ~ spl24_11
| ~ spl24_15 ),
inference(superposition,[],[f405,f389]) ).
fof(f5857,plain,
( $false
| ~ spl24_11
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f5852,f149]) ).
fof(f5858,plain,
( ~ spl24_11
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f5857]) ).
fof(f5886,plain,
( e3 = e4
| ~ spl24_96
| ~ spl24_97 ),
inference(forward_demodulation,[],[f746,f750]) ).
fof(f5980,plain,
( $false
| ~ spl24_96
| ~ spl24_97 ),
inference(forward_subsumption_resolution,[],[f5886,f143]) ).
fof(f5981,plain,
( ~ spl24_96
| ~ spl24_97 ),
inference(avatar_contradiction_clause,[],[f5980]) ).
fof(f6066,plain,
( e2 = e3
| ~ spl24_122
| ~ spl24_123 ),
inference(forward_demodulation,[],[f855,f859]) ).
fof(f6079,plain,
( e4 != op(e0,e2)
| ~ spl24_71
| spl24_191 ),
inference(forward_demodulation,[],[f1237,f641]) ).
fof(f6136,plain,
( $false
| ~ spl24_122
| ~ spl24_123 ),
inference(forward_subsumption_resolution,[],[f6066,f145]) ).
fof(f6137,plain,
( ~ spl24_122
| ~ spl24_123 ),
inference(avatar_contradiction_clause,[],[f6136]) ).
fof(f6140,plain,
( $false
| ~ spl24_71
| ~ spl24_111
| spl24_191 ),
inference(forward_subsumption_resolution,[],[f6079,f809]) ).
fof(f6141,plain,
( ~ spl24_71
| ~ spl24_111
| spl24_191 ),
inference(avatar_contradiction_clause,[],[f6140]) ).
fof(f6187,plain,
( e2 = e4
| ~ spl24_81
| ~ spl24_83 ),
inference(superposition,[],[f691,f683]) ).
fof(f6191,plain,
( $false
| ~ spl24_81
| ~ spl24_83 ),
inference(forward_subsumption_resolution,[],[f6187,f144]) ).
fof(f6192,plain,
( ~ spl24_81
| ~ spl24_83 ),
inference(avatar_contradiction_clause,[],[f6191]) ).
fof(f6195,plain,
( e1 = e2
| ~ spl24_83
| ~ spl24_84 ),
inference(superposition,[],[f695,f691]) ).
fof(f6199,plain,
( $false
| ~ spl24_83
| ~ spl24_84 ),
inference(forward_subsumption_resolution,[],[f6195,f148]) ).
fof(f6200,plain,
( ~ spl24_83
| ~ spl24_84 ),
inference(avatar_contradiction_clause,[],[f6199]) ).
fof(f6211,plain,
( e0 = e4
| ~ spl24_91
| ~ spl24_95 ),
inference(superposition,[],[f741,f725]) ).
fof(f6215,plain,
( $false
| ~ spl24_91
| ~ spl24_95 ),
inference(forward_subsumption_resolution,[],[f6211,f149]) ).
fof(f6216,plain,
( ~ spl24_91
| ~ spl24_95 ),
inference(avatar_contradiction_clause,[],[f6215]) ).
fof(f6221,plain,
( e1 = e3
| ~ spl24_102
| ~ spl24_104 ),
inference(superposition,[],[f779,f771]) ).
fof(f6222,plain,
( e1 = e3
| ~ spl24_102
| ~ spl24_104 ),
inference(superposition,[],[f771,f779]) ).
fof(f6224,plain,
( $false
| ~ spl24_102
| ~ spl24_104 ),
inference(forward_subsumption_resolution,[],[f6222,f147]) ).
fof(f6225,plain,
( ~ spl24_102
| ~ spl24_104 ),
inference(avatar_contradiction_clause,[],[f6224]) ).
fof(f6226,plain,
( $false
| ~ spl24_102
| ~ spl24_104 ),
inference(forward_subsumption_resolution,[],[f6221,f147]) ).
fof(f6227,plain,
( ~ spl24_102
| ~ spl24_104 ),
inference(avatar_contradiction_clause,[],[f6226]) ).
fof(f6228,plain,
( spl24_112
| ~ spl24_72
| ~ spl24_191 ),
inference(avatar_split_clause,[],[f5793,f1235,f643,f811]) ).
fof(f6242,plain,
( e0 = e3
| ~ spl24_107
| ~ spl24_110 ),
inference(forward_demodulation,[],[f792,f804]) ).
fof(f6284,plain,
( $false
| ~ spl24_107
| ~ spl24_110 ),
inference(forward_subsumption_resolution,[],[f6242,f150]) ).
fof(f6285,plain,
( ~ spl24_107
| ~ spl24_110 ),
inference(avatar_contradiction_clause,[],[f6284]) ).
fof(f6306,plain,
( ~ spl24_104
| ~ spl24_20
| spl24_163 ),
inference(avatar_split_clause,[],[f2556,f1088,f424,f777]) ).
fof(f6416,plain,
( e1 = e2
| ~ spl24_13
| ~ spl24_14 ),
inference(superposition,[],[f401,f397]) ).
fof(f6422,plain,
( $false
| ~ spl24_13
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f6416,f148]) ).
fof(f6423,plain,
( ~ spl24_13
| ~ spl24_14 ),
inference(avatar_contradiction_clause,[],[f6422]) ).
fof(f6429,plain,
( e0 = e4
| ~ spl24_46
| ~ spl24_50 ),
inference(forward_demodulation,[],[f536,f552]) ).
fof(f6451,plain,
( spl24_15
| ~ spl24_111
| ~ spl24_207 ),
inference(avatar_split_clause,[],[f2278,f1322,f807,f403]) ).
fof(f6476,plain,
( $false
| ~ spl24_46
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f6429,f149]) ).
fof(f6477,plain,
( ~ spl24_46
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f6476]) ).
fof(f6490,plain,
( e0 = e1
| ~ spl24_49
| ~ spl24_50 ),
inference(forward_demodulation,[],[f548,f552]) ).
fof(f6516,plain,
( e1 = op(e3,e0)
| ~ spl24_97
| ~ spl24_200 ),
inference(forward_demodulation,[],[f1287,f750]) ).
fof(f6542,plain,
( $false
| ~ spl24_49
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f6490,f152]) ).
fof(f6543,plain,
( ~ spl24_49
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f6542]) ).
fof(f6545,plain,
( e0 = e1
| ~ spl24_50
| ~ spl24_97
| ~ spl24_200 ),
inference(forward_demodulation,[],[f6516,f552]) ).
fof(f6554,plain,
( $false
| ~ spl24_50
| ~ spl24_97
| ~ spl24_200 ),
inference(forward_subsumption_resolution,[],[f6545,f152]) ).
fof(f6555,plain,
( ~ spl24_50
| ~ spl24_97
| ~ spl24_200 ),
inference(avatar_contradiction_clause,[],[f6554]) ).
fof(f6582,plain,
( $false
| ~ spl24_70
| ~ spl24_98
| spl24_199 ),
inference(forward_subsumption_resolution,[],[f4726,f636]) ).
fof(f6583,plain,
( ~ spl24_70
| ~ spl24_98
| spl24_199 ),
inference(avatar_contradiction_clause,[],[f6582]) ).
fof(f6665,plain,
( e0 = e3
| ~ spl24_22
| ~ spl24_25 ),
inference(forward_demodulation,[],[f435,f447]) ).
fof(f6724,plain,
( $false
| ~ spl24_22
| ~ spl24_25 ),
inference(forward_subsumption_resolution,[],[f6665,f150]) ).
fof(f6725,plain,
( ~ spl24_22
| ~ spl24_25 ),
inference(avatar_contradiction_clause,[],[f6724]) ).
fof(f6737,plain,
( spl24_36
| ~ spl24_12
| ~ spl24_161 ),
inference(avatar_split_clause,[],[f4041,f1078,f391,f492]) ).
fof(f6755,plain,
( spl24_67
| ~ spl24_43
| ~ spl24_176 ),
inference(avatar_split_clause,[],[f4172,f1156,f521,f622]) ).
fof(f6758,plain,
( ~ spl24_111
| ~ spl24_55
| spl24_181 ),
inference(avatar_split_clause,[],[f2453,f1181,f571,f807]) ).
fof(f6775,plain,
( e0 = e2
| ~ spl24_83
| ~ spl24_85 ),
inference(forward_demodulation,[],[f691,f699]) ).
fof(f6885,plain,
( $false
| ~ spl24_83
| ~ spl24_85 ),
inference(forward_subsumption_resolution,[],[f6775,f151]) ).
fof(f6886,plain,
( ~ spl24_83
| ~ spl24_85 ),
inference(avatar_contradiction_clause,[],[f6885]) ).
fof(f6926,plain,
( e1 = e2
| ~ spl24_28
| ~ spl24_29 ),
inference(forward_demodulation,[],[f460,f464]) ).
fof(f6985,plain,
( $false
| ~ spl24_28
| ~ spl24_29 ),
inference(forward_subsumption_resolution,[],[f6926,f148]) ).
fof(f6986,plain,
( ~ spl24_28
| ~ spl24_29 ),
inference(avatar_contradiction_clause,[],[f6985]) ).
fof(f7071,plain,
( e0 = e1
| ~ spl24_29
| ~ spl24_30 ),
inference(superposition,[],[f468,f464]) ).
fof(f7077,plain,
( $false
| ~ spl24_29
| ~ spl24_30 ),
inference(forward_subsumption_resolution,[],[f7071,f152]) ).
fof(f7078,plain,
( ~ spl24_29
| ~ spl24_30 ),
inference(avatar_contradiction_clause,[],[f7077]) ).
fof(f7079,plain,
( spl24_28
| ~ spl24_12
| ~ spl24_160 ),
inference(avatar_split_clause,[],[f4067,f1073,f391,f458]) ).
fof(f7192,plain,
( e1 = e3
| ~ spl24_32
| ~ spl24_34 ),
inference(superposition,[],[f485,f477]) ).
fof(f7193,plain,
( e1 = e3
| ~ spl24_32
| ~ spl24_34 ),
inference(superposition,[],[f477,f485]) ).
fof(f7195,plain,
( $false
| ~ spl24_32
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f7193,f147]) ).
fof(f7196,plain,
( ~ spl24_32
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f7195]) ).
fof(f7197,plain,
( $false
| ~ spl24_32
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f7192,f147]) ).
fof(f7198,plain,
( ~ spl24_32
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f7197]) ).
fof(f7212,plain,
( spl24_114
| ~ spl24_70
| ~ spl24_186 ),
inference(avatar_split_clause,[],[f2661,f1210,f634,f819]) ).
fof(f7383,plain,
( spl24_45
| ~ spl24_117
| ~ spl24_209 ),
inference(avatar_split_clause,[],[f3919,f1333,f832,f529]) ).
fof(f7438,plain,
( e1 = e4
| ~ spl24_91
| ~ spl24_94 ),
inference(superposition,[],[f737,f725]) ).
fof(f7442,plain,
( $false
| ~ spl24_91
| ~ spl24_94 ),
inference(forward_subsumption_resolution,[],[f7438,f146]) ).
fof(f7443,plain,
( ~ spl24_91
| ~ spl24_94 ),
inference(avatar_contradiction_clause,[],[f7442]) ).
fof(f7549,plain,
( e2 = e4
| ~ spl24_91
| ~ spl24_93 ),
inference(superposition,[],[f733,f725]) ).
fof(f7553,plain,
( $false
| ~ spl24_91
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f7549,f144]) ).
fof(f7554,plain,
( ~ spl24_91
| ~ spl24_93 ),
inference(avatar_contradiction_clause,[],[f7553]) ).
fof(f7559,plain,
( ~ spl24_104
| ~ spl24_24
| spl24_168 ),
inference(avatar_split_clause,[],[f5779,f1113,f441,f777]) ).
fof(f7632,plain,
( e2 = op(e4,e0)
| ~ spl24_71
| ~ spl24_190 ),
inference(forward_demodulation,[],[f1232,f641]) ).
fof(f7692,plain,
( $false
| spl24_23
| ~ spl24_71
| ~ spl24_190 ),
inference(forward_subsumption_resolution,[],[f7632,f438]) ).
fof(f7693,plain,
( spl24_23
| ~ spl24_71
| ~ spl24_190 ),
inference(avatar_contradiction_clause,[],[f7692]) ).
fof(f7726,plain,
( e2 = e4
| ~ spl24_1
| ~ spl24_3 ),
inference(superposition,[],[f355,f347]) ).
fof(f7730,plain,
( $false
| ~ spl24_1
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f7726,f144]) ).
fof(f7731,plain,
( ~ spl24_1
| ~ spl24_3 ),
inference(avatar_contradiction_clause,[],[f7730]) ).
fof(f7765,plain,
( e0 = e2
| ~ spl24_38
| ~ spl24_40 ),
inference(superposition,[],[f510,f502]) ).
fof(f7771,plain,
( $false
| ~ spl24_38
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f7765,f151]) ).
fof(f7772,plain,
( ~ spl24_38
| ~ spl24_40 ),
inference(avatar_contradiction_clause,[],[f7771]) ).
fof(f7783,plain,
( e0 = e4
| ~ spl24_61
| ~ spl24_65 ),
inference(superposition,[],[f615,f599]) ).
fof(f7788,plain,
( $false
| ~ spl24_61
| ~ spl24_65 ),
inference(forward_subsumption_resolution,[],[f7783,f149]) ).
fof(f7789,plain,
( ~ spl24_61
| ~ spl24_65 ),
inference(avatar_contradiction_clause,[],[f7788]) ).
cnf(s1,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5 ),
inference(sat_conversion,[],[f364]) ).
cnf(s5,plain,
( spl24_21
| spl24_22
| spl24_23
| spl24_24
| spl24_25 ),
inference(sat_conversion,[],[f448]) ).
cnf(s6,plain,
( spl24_26
| spl24_27
| spl24_28
| spl24_29
| spl24_30 ),
inference(sat_conversion,[],[f469]) ).
cnf(s26,plain,
( spl24_126
| spl24_127
| spl24_128
| spl24_129
| spl24_130 ),
inference(sat_conversion,[],[f889]) ).
cnf(s29,plain,
( spl24_2
| spl24_27
| spl24_52
| spl24_77
| spl24_102 ),
inference(sat_conversion,[],[f892]) ).
cnf(s30,plain,
( spl24_2
| spl24_7
| spl24_12
| spl24_17
| spl24_22 ),
inference(sat_conversion,[],[f893]) ).
cnf(s32,plain,
( spl24_3
| spl24_8
| spl24_13
| spl24_18
| spl24_23 ),
inference(sat_conversion,[],[f895]) ).
cnf(s33,plain,
( spl24_4
| spl24_29
| spl24_54
| spl24_79
| spl24_104 ),
inference(sat_conversion,[],[f896]) ).
cnf(s34,plain,
( spl24_4
| spl24_9
| spl24_14
| spl24_19
| spl24_24 ),
inference(sat_conversion,[],[f897]) ).
cnf(s35,plain,
( spl24_5
| spl24_30
| spl24_55
| spl24_80
| spl24_105 ),
inference(sat_conversion,[],[f898]) ).
cnf(s36,plain,
( spl24_5
| spl24_10
| spl24_15
| spl24_20
| spl24_25 ),
inference(sat_conversion,[],[f899]) ).
cnf(s37,plain,
( spl24_6
| spl24_31
| spl24_56
| spl24_81
| spl24_106 ),
inference(sat_conversion,[],[f900]) ).
cnf(s40,plain,
( spl24_27
| spl24_32
| spl24_37
| spl24_42
| spl24_47 ),
inference(sat_conversion,[],[f903]) ).
cnf(s41,plain,
( spl24_8
| spl24_33
| spl24_58
| spl24_83
| spl24_108 ),
inference(sat_conversion,[],[f904]) ).
cnf(s42,plain,
( spl24_28
| spl24_33
| spl24_38
| spl24_43
| spl24_48 ),
inference(sat_conversion,[],[f905]) ).
cnf(s44,plain,
( spl24_29
| spl24_34
| spl24_39
| spl24_44
| spl24_49 ),
inference(sat_conversion,[],[f907]) ).
cnf(s45,plain,
( spl24_10
| spl24_35
| spl24_60
| spl24_85
| spl24_110 ),
inference(sat_conversion,[],[f908]) ).
cnf(s46,plain,
( spl24_30
| spl24_35
| spl24_40
| spl24_45
| spl24_50 ),
inference(sat_conversion,[],[f909]) ).
cnf(s47,plain,
( spl24_11
| spl24_36
| spl24_61
| spl24_86
| spl24_111 ),
inference(sat_conversion,[],[f910]) ).
cnf(s48,plain,
( spl24_51
| spl24_56
| spl24_61
| spl24_66
| spl24_71 ),
inference(sat_conversion,[],[f911]) ).
cnf(s49,plain,
( spl24_12
| spl24_37
| spl24_62
| spl24_87
| spl24_112 ),
inference(sat_conversion,[],[f912]) ).
cnf(s50,plain,
( spl24_52
| spl24_57
| spl24_62
| spl24_67
| spl24_72 ),
inference(sat_conversion,[],[f913]) ).
cnf(s53,plain,
( spl24_14
| spl24_39
| spl24_64
| spl24_89
| spl24_114 ),
inference(sat_conversion,[],[f916]) ).
cnf(s54,plain,
( spl24_54
| spl24_59
| spl24_64
| spl24_69
| spl24_74 ),
inference(sat_conversion,[],[f917]) ).
cnf(s56,plain,
( spl24_55
| spl24_60
| spl24_65
| spl24_70
| spl24_75 ),
inference(sat_conversion,[],[f919]) ).
cnf(s59,plain,
( spl24_17
| spl24_42
| spl24_67
| spl24_92
| spl24_117 ),
inference(sat_conversion,[],[f922]) ).
cnf(s60,plain,
( spl24_77
| spl24_82
| spl24_87
| spl24_92
| spl24_97 ),
inference(sat_conversion,[],[f923]) ).
cnf(s61,plain,
( spl24_18
| spl24_43
| spl24_68
| spl24_93
| spl24_118 ),
inference(sat_conversion,[],[f924]) ).
cnf(s62,plain,
( spl24_78
| spl24_83
| spl24_88
| spl24_93
| spl24_98 ),
inference(sat_conversion,[],[f925]) ).
cnf(s65,plain,
( spl24_20
| spl24_45
| spl24_70
| spl24_95
| spl24_120 ),
inference(sat_conversion,[],[f928]) ).
cnf(s67,plain,
( spl24_21
| spl24_46
| spl24_71
| spl24_96
| spl24_121 ),
inference(sat_conversion,[],[f930]) ).
cnf(s69,plain,
( spl24_22
| spl24_47
| spl24_72
| spl24_97
| spl24_122 ),
inference(sat_conversion,[],[f932]) ).
cnf(s70,plain,
( spl24_102
| spl24_107
| spl24_112
| spl24_117
| spl24_122 ),
inference(sat_conversion,[],[f933]) ).
cnf(s71,plain,
( spl24_23
| spl24_48
| spl24_73
| spl24_98
| spl24_123 ),
inference(sat_conversion,[],[f934]) ).
cnf(s73,plain,
( spl24_24
| spl24_49
| spl24_74
| spl24_99
| spl24_124 ),
inference(sat_conversion,[],[f936]) ).
cnf(s74,plain,
( spl24_104
| spl24_109
| spl24_114
| spl24_119
| spl24_124 ),
inference(sat_conversion,[],[f937]) ).
cnf(s75,plain,
( spl24_25
| spl24_50
| spl24_75
| spl24_100
| spl24_125 ),
inference(sat_conversion,[],[f938]) ).
cnf(s77,plain,
spl24_91,
inference(sat_conversion,[],[f940]) ).
cnf(s80,plain,
( spl24_131
| spl24_132
| spl24_133
| spl24_134
| spl24_135
| spl24_136
| spl24_137
| spl24_138
| spl24_139
| spl24_140
| spl24_141
| spl24_142
| spl24_143
| spl24_144
| spl24_145
| spl24_146
| spl24_147
| spl24_148
| spl24_149
| spl24_150
| spl24_151
| spl24_152
| spl24_153
| spl24_154 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s82,plain,
( spl24_2
| spl24_32
| spl24_62
| spl24_92
| spl24_122 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s83,plain,
( spl24_3
| spl24_33
| spl24_63
| spl24_93
| spl24_123 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s84,plain,
( spl24_4
| spl24_34
| spl24_64
| spl24_94
| spl24_124 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s85,plain,
( spl24_5
| spl24_35
| spl24_65
| spl24_95
| spl24_125 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s88,plain,
~ spl24_131,
inference(sat_conversion,[],[f1056]) ).
cnf(s90,plain,
( ~ spl24_132
| spl24_158 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s91,plain,
( ~ spl24_132
| ~ spl24_159 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s93,plain,
( ~ spl24_133
| spl24_161 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s95,plain,
( ~ spl24_134
| ~ spl24_163 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s96,plain,
( ~ spl24_134
| spl24_164 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s99,plain,
( ~ spl24_135
| spl24_167 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s100,plain,
( ~ spl24_135
| ~ spl24_168 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s102,plain,
( ~ spl24_136
| spl24_170 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s103,plain,
( ~ spl24_136
| ~ spl24_159 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s106,plain,
~ spl24_137,
inference(sat_conversion,[],[f1134]) ).
cnf(s108,plain,
( ~ spl24_138
| spl24_173 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s109,plain,
( ~ spl24_138
| ~ spl24_174 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s111,plain,
( ~ spl24_139
| spl24_176 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s113,plain,
( ~ spl24_140
| ~ spl24_178 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s115,plain,
( ~ spl24_140
| ~ spl24_180 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s116,plain,
( ~ spl24_141
| ~ spl24_181 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s117,plain,
( ~ spl24_141
| spl24_182 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s118,plain,
( ~ spl24_141
| ~ spl24_162 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s120,plain,
( ~ spl24_142
| spl24_184 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s121,plain,
( ~ spl24_142
| ~ spl24_174 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s124,plain,
~ spl24_143,
inference(sat_conversion,[],[f1208]) ).
cnf(s126,plain,
( ~ spl24_144
| spl24_187 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s127,plain,
( ~ spl24_144
| ~ spl24_188 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s129,plain,
( ~ spl24_145
| spl24_190 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s130,plain,
( ~ spl24_145
| ~ spl24_191 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s132,plain,
( ~ spl24_146
| spl24_193 ),
inference(sat_conversion,[],[f1248]) ).
cnf(s133,plain,
( ~ spl24_146
| ~ spl24_165 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s136,plain,
( ~ spl24_147
| ~ spl24_177 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s138,plain,
( ~ spl24_148
| spl24_197 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s142,plain,
~ spl24_149,
inference(sat_conversion,[],[f1278]) ).
cnf(s144,plain,
( ~ spl24_150
| spl24_200 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s145,plain,
( ~ spl24_150
| ~ spl24_201 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s147,plain,
( ~ spl24_151
| spl24_203 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s148,plain,
( ~ spl24_151
| ~ spl24_168 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s149,plain,
( ~ spl24_152
| ~ spl24_204 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s151,plain,
( ~ spl24_152
| ~ spl24_180 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s153,plain,
( ~ spl24_153
| spl24_207 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s156,plain,
( ~ spl24_154
| spl24_209 ),
inference(sat_conversion,[],[f1336]) ).
cnf(s157,plain,
( ~ spl24_154
| ~ spl24_201 ),
inference(sat_conversion,[],[f1337]) ).
cnf(s158,plain,
spl24_90,
inference(sat_conversion,[],[f1338]) ).
cnf(s160,plain,
( ~ spl24_6
| ~ spl24_26
| spl24_159 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s163,plain,
( ~ spl24_51
| ~ spl24_54 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s165,plain,
( ~ spl24_3
| ~ spl24_126 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s166,plain,
( ~ spl24_4
| ~ spl24_126 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s167,plain,
( ~ spl24_5
| ~ spl24_126 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s168,plain,
( ~ spl24_27
| ~ spl24_127 ),
inference(sat_conversion,[],[f1393]) ).
cnf(s169,plain,
( ~ spl24_28
| ~ spl24_127 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s170,plain,
( ~ spl24_29
| ~ spl24_127 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s171,plain,
( ~ spl24_30
| ~ spl24_127 ),
inference(sat_conversion,[],[f1414]) ).
cnf(s178,plain,
( ~ spl24_102
| ~ spl24_130 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s179,plain,
( ~ spl24_22
| ~ spl24_130 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s181,plain,
( ~ spl24_23
| ~ spl24_130 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s182,plain,
( ~ spl24_104
| ~ spl24_130 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s183,plain,
( ~ spl24_24
| ~ spl24_130 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s185,plain,
( ~ spl24_101
| ~ spl24_105 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s193,plain,
( ~ spl24_54
| ~ spl24_55 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s194,plain,
( ~ spl24_89
| ~ spl24_90 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s197,plain,
( ~ spl24_25
| ~ spl24_130 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s198,plain,
( spl24_47
| ~ spl24_130 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s199,plain,
( spl24_107
| ~ spl24_130 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s200,plain,
( spl24_73
| ~ spl24_130 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s201,plain,
( spl24_113
| ~ spl24_130 ),
inference(sat_conversion,[],[f1583]) ).
cnf(s202,plain,
( ~ spl24_120
| ~ spl24_130 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s203,plain,
( spl24_119
| ~ spl24_130 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s205,plain,
( ~ spl24_3
| ~ spl24_5 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s207,plain,
( ~ spl24_6
| ~ spl24_7 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s209,plain,
( ~ spl24_7
| ~ spl24_8 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s210,plain,
( ~ spl24_7
| ~ spl24_9 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s212,plain,
( ~ spl24_7
| ~ spl24_10 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s213,plain,
( ~ spl24_7
| ~ spl24_10 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s214,plain,
( ~ spl24_17
| ~ spl24_18 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s215,plain,
( ~ spl24_8
| ~ spl24_10 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s226,plain,
( ~ spl24_18
| ~ spl24_78
| spl24_165 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s233,plain,
( ~ spl24_100
| ~ spl24_130 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s234,plain,
( spl24_99
| ~ spl24_130 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s235,plain,
( ~ spl24_90
| spl24_114
| ~ spl24_197 ),
inference(sat_conversion,[],[f1753]) ).
cnf(s236,plain,
( ~ spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s237,plain,
( ~ spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s239,plain,
( ~ spl24_33
| ~ spl24_35 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s240,plain,
( ~ spl24_37
| ~ spl24_39 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s242,plain,
( ~ spl24_44
| ~ spl24_45 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s248,plain,
( ~ spl24_47
| ~ spl24_49 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s249,plain,
( ~ spl24_34
| ~ spl24_35 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s250,plain,
( ~ spl24_112
| ~ spl24_113 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s251,plain,
( ~ spl24_87
| ~ spl24_90 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s254,plain,
( ~ spl24_36
| ~ spl24_37 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s261,plain,
( ~ spl24_31
| ~ spl24_34 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s262,plain,
( ~ spl24_62
| ~ spl24_63 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s264,plain,
( ~ spl24_52
| ~ spl24_54 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s267,plain,
( ~ spl24_4
| ~ spl24_5 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s269,plain,
( ~ spl24_18
| ~ spl24_20 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s271,plain,
( ~ spl24_14
| ~ spl24_15 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s274,plain,
( ~ spl24_52
| ~ spl24_55 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s283,plain,
( ~ spl24_90
| ~ spl24_128 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s284,plain,
( ~ spl24_27
| ~ spl24_28 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s289,plain,
( ~ spl24_38
| ~ spl24_39 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s290,plain,
( ~ spl24_43
| ~ spl24_45 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s291,plain,
( ~ spl24_18
| ~ spl24_19 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s292,plain,
( ~ spl24_18
| ~ spl24_19 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s294,plain,
( ~ spl24_47
| ~ spl24_48 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s295,plain,
( ~ spl24_36
| ~ spl24_39 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s299,plain,
( ~ spl24_47
| ~ spl24_50 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s301,plain,
( ~ spl24_41
| ~ spl24_43 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s303,plain,
( ~ spl24_36
| ~ spl24_40 ),
inference(sat_conversion,[],[f2077]) ).
cnf(s304,plain,
( ~ spl24_43
| ~ spl24_44 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s310,plain,
( ~ spl24_14
| ~ spl24_126 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s312,plain,
( ~ spl24_2
| ~ spl24_126 ),
inference(sat_conversion,[],[f2118]) ).
cnf(s319,plain,
( ~ spl24_36
| ~ spl24_38 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s323,plain,
( ~ spl24_57
| ~ spl24_58 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s329,plain,
( ~ spl24_61
| ~ spl24_62 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s331,plain,
( ~ spl24_71
| ~ spl24_73 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s332,plain,
( ~ spl24_56
| ~ spl24_59 ),
inference(sat_conversion,[],[f2234]) ).
cnf(s334,plain,
( ~ spl24_73
| ~ spl24_75 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s335,plain,
( ~ spl24_56
| ~ spl24_60 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s338,plain,
( ~ spl24_69
| ~ spl24_70 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s340,plain,
( ~ spl24_62
| ~ spl24_65 ),
inference(sat_conversion,[],[f2268]) ).
cnf(s341,plain,
( ~ spl24_70
| ~ spl24_90
| spl24_188 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s342,plain,
( ~ spl24_73
| ~ spl24_113
| spl24_191 ),
inference(sat_conversion,[],[f2280]) ).
cnf(s344,plain,
( ~ spl24_99
| ~ spl24_119
| spl24_201 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s346,plain,
( spl24_95
| ~ spl24_119
| ~ spl24_209 ),
inference(sat_conversion,[],[f2299]) ).
cnf(s357,plain,
( ~ spl24_91
| ~ spl24_92 ),
inference(sat_conversion,[],[f2358]) ).
cnf(s358,plain,
( ~ spl24_42
| ~ spl24_44 ),
inference(sat_conversion,[],[f2363]) ).
cnf(s359,plain,
( ~ spl24_97
| ~ spl24_99 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s362,plain,
( ~ spl24_18
| ~ spl24_70
| ~ spl24_164 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s363,plain,
( ~ spl24_67
| ~ spl24_70 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s366,plain,
( ~ spl24_6
| ~ spl24_9 ),
inference(sat_conversion,[],[f2407]) ).
cnf(s368,plain,
( ~ spl24_47
| ~ spl24_107
| spl24_180 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s369,plain,
( ~ spl24_47
| ~ spl24_107
| spl24_204 ),
inference(sat_conversion,[],[f2415]) ).
cnf(s372,plain,
( ~ spl24_106
| ~ spl24_107 ),
inference(sat_conversion,[],[f2434]) ).
cnf(s374,plain,
( ~ spl24_12
| ~ spl24_15 ),
inference(sat_conversion,[],[f2446]) ).
cnf(s378,plain,
( ~ spl24_73
| ~ spl24_113
| spl24_206 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s379,plain,
( spl24_65
| ~ spl24_113
| ~ spl24_207 ),
inference(sat_conversion,[],[f2470]) ).
cnf(s384,plain,
( ~ spl24_44
| ~ spl24_67
| ~ spl24_187 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s386,plain,
( ~ spl24_73
| ~ spl24_74 ),
inference(sat_conversion,[],[f2514]) ).
cnf(s390,plain,
( ~ spl24_62
| ~ spl24_64 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s393,plain,
( ~ spl24_9
| ~ spl24_10 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s394,plain,
( ~ spl24_8
| ~ spl24_9 ),
inference(sat_conversion,[],[f2559]) ).
cnf(s396,plain,
( ~ spl24_44
| ~ spl24_84
| spl24_177 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s397,plain,
( ~ spl24_19
| ~ spl24_20 ),
inference(sat_conversion,[],[f2570]) ).
cnf(s399,plain,
( ~ spl24_12
| ~ spl24_14 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s400,plain,
( ~ spl24_12
| ~ spl24_14 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s401,plain,
( ~ spl24_17
| ~ spl24_20 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s409,plain,
( spl24_8
| ~ spl24_56
| ~ spl24_184 ),
inference(sat_conversion,[],[f2645]) ).
cnf(s412,plain,
( ~ spl24_10
| spl24_30
| ~ spl24_159 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s417,plain,
( ~ spl24_21
| ~ spl24_101
| spl24_168 ),
inference(sat_conversion,[],[f2684]) ).
cnf(s419,plain,
( spl24_5
| ~ spl24_101
| ~ spl24_203 ),
inference(sat_conversion,[],[f2687]) ).
cnf(s421,plain,
( ~ spl24_10
| ~ spl24_107
| ~ spl24_158 ),
inference(sat_conversion,[],[f2698]) ).
cnf(s422,plain,
( ~ spl24_77
| ~ spl24_80 ),
inference(sat_conversion,[],[f2709]) ).
cnf(s425,plain,
( ~ spl24_82
| ~ spl24_84 ),
inference(sat_conversion,[],[f2734]) ).
cnf(s426,plain,
( ~ spl24_111
| ~ spl24_113 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s434,plain,
( ~ spl24_86
| ~ spl24_90 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s439,plain,
( ~ spl24_111
| ~ spl24_114 ),
inference(sat_conversion,[],[f2806]) ).
cnf(s441,plain,
( ~ spl24_90
| ~ spl24_114
| spl24_207 ),
inference(sat_conversion,[],[f2812]) ).
cnf(s444,plain,
( ~ spl24_99
| ~ spl24_114
| ~ spl24_206 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s445,plain,
( ~ spl24_73
| ~ spl24_108
| ~ spl24_204 ),
inference(sat_conversion,[],[f2822]) ).
cnf(s452,plain,
( ~ spl24_90
| ~ spl24_129 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s461,plain,
( spl24_13
| ~ spl24_126 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s469,plain,
( ~ spl24_37
| ~ spl24_38 ),
inference(sat_conversion,[],[f2988]) ).
cnf(s479,plain,
( ~ spl24_28
| ~ spl24_30 ),
inference(sat_conversion,[],[f3038]) ).
cnf(s487,plain,
( ~ spl24_98
| ~ spl24_99 ),
inference(sat_conversion,[],[f3110]) ).
cnf(s488,plain,
( ~ spl24_109
| ~ spl24_110 ),
inference(sat_conversion,[],[f3112]) ).
cnf(s490,plain,
( ~ spl24_14
| ~ spl24_66
| spl24_186 ),
inference(sat_conversion,[],[f3121]) ).
cnf(s493,plain,
( ~ spl24_8
| ~ spl24_58
| ~ spl24_158 ),
inference(sat_conversion,[],[f3128]) ).
cnf(s496,plain,
( ~ spl24_88
| ~ spl24_90 ),
inference(sat_conversion,[],[f3153]) ).
cnf(s497,plain,
( ~ spl24_121
| ~ spl24_123 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s506,plain,
( ~ spl24_123
| ~ spl24_124 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s508,plain,
( ~ spl24_123
| ~ spl24_125 ),
inference(sat_conversion,[],[f3223]) ).
cnf(s512,plain,
( ~ spl24_78
| ~ spl24_79 ),
inference(sat_conversion,[],[f3257]) ).
cnf(s517,plain,
( ~ spl24_10
| ~ spl24_30
| spl24_159 ),
inference(sat_conversion,[],[f3270]) ).
cnf(s527,plain,
( ~ spl24_11
| ~ spl24_14 ),
inference(sat_conversion,[],[f3364]) ).
cnf(s528,plain,
( ~ spl24_14
| ~ spl24_90
| ~ spl24_161 ),
inference(sat_conversion,[],[f3387]) ).
cnf(s536,plain,
( ~ spl24_44
| spl24_92
| ~ spl24_176 ),
inference(sat_conversion,[],[f3427]) ).
cnf(s537,plain,
( ~ spl24_68
| ~ spl24_69 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s538,plain,
( ~ spl24_124
| ~ spl24_125 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s543,plain,
( ~ spl24_32
| ~ spl24_35 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s546,plain,
( ~ spl24_118
| ~ spl24_119 ),
inference(sat_conversion,[],[f3497]) ).
cnf(s549,plain,
( spl24_45
| ~ spl24_97
| ~ spl24_199 ),
inference(sat_conversion,[],[f3504]) ).
cnf(s564,plain,
( ~ spl24_77
| ~ spl24_79 ),
inference(sat_conversion,[],[f3586]) ).
cnf(s565,plain,
( ~ spl24_82
| ~ spl24_83 ),
inference(sat_conversion,[],[f3607]) ).
cnf(s568,plain,
( spl24_29
| ~ spl24_77
| ~ spl24_193 ),
inference(sat_conversion,[],[f3626]) ).
cnf(s570,plain,
( spl24_50
| ~ spl24_127 ),
inference(sat_conversion,[],[f3651]) ).
cnf(s571,plain,
( spl24_58
| ~ spl24_127 ),
inference(sat_conversion,[],[f3652]) ).
cnf(s572,plain,
( spl24_6
| ~ spl24_127 ),
inference(sat_conversion,[],[f3656]) ).
cnf(s574,plain,
( ~ spl24_35
| ~ spl24_127 ),
inference(sat_conversion,[],[f3660]) ).
cnf(s581,plain,
( ~ spl24_17
| spl24_41
| ~ spl24_164 ),
inference(sat_conversion,[],[f3723]) ).
cnf(s584,plain,
( ~ spl24_3
| ~ spl24_11
| spl24_160 ),
inference(sat_conversion,[],[f3731]) ).
cnf(s585,plain,
( ~ spl24_11
| spl24_161 ),
inference(sat_conversion,[],[f3733]) ).
cnf(s586,plain,
( spl24_101
| ~ spl24_130 ),
inference(sat_conversion,[],[f3760]) ).
cnf(s588,plain,
( ~ spl24_2
| ~ spl24_3 ),
inference(sat_conversion,[],[f3774]) ).
cnf(s591,plain,
( ~ spl24_17
| ~ spl24_19 ),
inference(sat_conversion,[],[f3799]) ).
cnf(s592,plain,
( ~ spl24_17
| ~ spl24_19 ),
inference(sat_conversion,[],[f3801]) ).
cnf(s601,plain,
( ~ spl24_32
| ~ spl24_33 ),
inference(sat_conversion,[],[f3869]) ).
cnf(s603,plain,
( ~ spl24_122
| ~ spl24_125 ),
inference(sat_conversion,[],[f3873]) ).
cnf(s615,plain,
( ~ spl24_22
| ~ spl24_23 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s616,plain,
( ~ spl24_48
| ~ spl24_50 ),
inference(sat_conversion,[],[f3923]) ).
cnf(s617,plain,
( ~ spl24_121
| ~ spl24_125 ),
inference(sat_conversion,[],[f3925]) ).
cnf(s626,plain,
( ~ spl24_2
| ~ spl24_5 ),
inference(sat_conversion,[],[f3985]) ).
cnf(s635,plain,
( ~ spl24_58
| spl24_184 ),
inference(sat_conversion,[],[f4056]) ).
cnf(s643,plain,
( ~ spl24_12
| ~ spl24_13 ),
inference(sat_conversion,[],[f4117]) ).
cnf(s652,plain,
( ~ spl24_6
| spl24_158 ),
inference(sat_conversion,[],[f4166]) ).
cnf(s654,plain,
( spl24_44
| ~ spl24_127 ),
inference(sat_conversion,[],[f4190]) ).
cnf(s655,plain,
( spl24_84
| ~ spl24_127 ),
inference(sat_conversion,[],[f4191]) ).
cnf(s656,plain,
( spl24_38
| ~ spl24_127 ),
inference(sat_conversion,[],[f4193]) ).
cnf(s658,plain,
( ~ spl24_12
| ~ spl24_52
| spl24_162 ),
inference(sat_conversion,[],[f4198]) ).
cnf(s664,plain,
( ~ spl24_43
| ~ spl24_83
| spl24_177 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s676,plain,
( ~ spl24_17
| ~ spl24_77
| spl24_165 ),
inference(sat_conversion,[],[f4304]) ).
cnf(s689,plain,
( ~ spl24_81
| ~ spl24_82 ),
inference(sat_conversion,[],[f4427]) ).
cnf(s691,plain,
( ~ spl24_77
| ~ spl24_78 ),
inference(sat_conversion,[],[f4440]) ).
cnf(s695,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(sat_conversion,[],[f4458]) ).
cnf(s699,plain,
( ~ spl24_11
| ~ spl24_13 ),
inference(sat_conversion,[],[f4490]) ).
cnf(s707,plain,
( ~ spl24_2
| ~ spl24_4 ),
inference(sat_conversion,[],[f4557]) ).
cnf(s735,plain,
( spl24_74
| ~ spl24_98
| ~ spl24_200 ),
inference(sat_conversion,[],[f4703]) ).
cnf(s738,plain,
( spl24_12
| ~ spl24_36
| ~ spl24_173 ),
inference(sat_conversion,[],[f4708]) ).
cnf(s746,plain,
( ~ spl24_98
| ~ spl24_118
| spl24_201 ),
inference(sat_conversion,[],[f4772]) ).
cnf(s748,plain,
( ~ spl24_21
| ~ spl24_25 ),
inference(sat_conversion,[],[f4815]) ).
cnf(s749,plain,
( ~ spl24_96
| ~ spl24_98 ),
inference(sat_conversion,[],[f4828]) ).
cnf(s763,plain,
( ~ spl24_58
| ~ spl24_59 ),
inference(sat_conversion,[],[f4927]) ).
cnf(s767,plain,
( ~ spl24_61
| ~ spl24_63 ),
inference(sat_conversion,[],[f4946]) ).
cnf(s771,plain,
( ~ spl24_24
| ~ spl24_25 ),
inference(sat_conversion,[],[f4964]) ).
cnf(s774,plain,
( ~ spl24_61
| ~ spl24_64 ),
inference(sat_conversion,[],[f4975]) ).
cnf(s776,plain,
( spl24_40
| ~ spl24_112
| ~ spl24_207 ),
inference(sat_conversion,[],[f4986]) ).
cnf(s777,plain,
( ~ spl24_64
| ~ spl24_65 ),
inference(sat_conversion,[],[f4999]) ).
cnf(s781,plain,
( ~ spl24_67
| ~ spl24_68 ),
inference(sat_conversion,[],[f5017]) ).
cnf(s784,plain,
( ~ spl24_71
| ~ spl24_74 ),
inference(sat_conversion,[],[f5030]) ).
cnf(s786,plain,
( ~ spl24_71
| ~ spl24_75 ),
inference(sat_conversion,[],[f5050]) ).
cnf(s792,plain,
( ~ spl24_117
| ~ spl24_120 ),
inference(sat_conversion,[],[f5113]) ).
cnf(s795,plain,
( ~ spl24_120
| spl24_209 ),
inference(sat_conversion,[],[f5121]) ).
cnf(s799,plain,
( ~ spl24_63
| ~ spl24_64 ),
inference(sat_conversion,[],[f5155]) ).
cnf(s806,plain,
( spl24_2
| ~ spl24_26
| ~ spl24_170 ),
inference(sat_conversion,[],[f5185]) ).
cnf(s811,plain,
( ~ spl24_111
| ~ spl24_112 ),
inference(sat_conversion,[],[f5230]) ).
cnf(s838,plain,
( ~ spl24_58
| ~ spl24_60 ),
inference(sat_conversion,[],[f5421]) ).
cnf(s857,plain,
( ~ spl24_38
| ~ spl24_58
| spl24_174 ),
inference(sat_conversion,[],[f5516]) ).
cnf(s858,plain,
( ~ spl24_21
| ~ spl24_23 ),
inference(sat_conversion,[],[f5518]) ).
cnf(s870,plain,
( spl24_110
| ~ spl24_127 ),
inference(sat_conversion,[],[f5596]) ).
cnf(s872,plain,
( ~ spl24_50
| ~ spl24_110
| spl24_180 ),
inference(sat_conversion,[],[f5600]) ).
cnf(s873,plain,
( ~ spl24_50
| ~ spl24_110
| spl24_178 ),
inference(sat_conversion,[],[f5602]) ).
cnf(s875,plain,
( ~ spl24_1
| ~ spl24_5 ),
inference(sat_conversion,[],[f5610]) ).
cnf(s876,plain,
( ~ spl24_23
| ~ spl24_24 ),
inference(sat_conversion,[],[f5636]) ).
cnf(s877,plain,
( ~ spl24_23
| ~ spl24_24 ),
inference(sat_conversion,[],[f5638]) ).
cnf(s878,plain,
( ~ spl24_22
| ~ spl24_24 ),
inference(sat_conversion,[],[f5657]) ).
cnf(s891,plain,
( ~ spl24_54
| spl24_78
| ~ spl24_182 ),
inference(sat_conversion,[],[f5756]) ).
cnf(s895,plain,
( ~ spl24_21
| ~ spl24_24 ),
inference(sat_conversion,[],[f5806]) ).
cnf(s898,plain,
( ~ spl24_24
| ~ spl24_97
| ~ spl24_167 ),
inference(sat_conversion,[],[f5816]) ).
cnf(s900,plain,
( ~ spl24_11
| ~ spl24_15 ),
inference(sat_conversion,[],[f5858]) ).
cnf(s924,plain,
( ~ spl24_96
| ~ spl24_97 ),
inference(sat_conversion,[],[f5981]) ).
cnf(s961,plain,
( ~ spl24_122
| ~ spl24_123 ),
inference(sat_conversion,[],[f6137]) ).
cnf(s962,plain,
( ~ spl24_71
| ~ spl24_111
| spl24_191 ),
inference(sat_conversion,[],[f6141]) ).
cnf(s965,plain,
( ~ spl24_81
| ~ spl24_83 ),
inference(sat_conversion,[],[f6192]) ).
cnf(s967,plain,
( ~ spl24_83
| ~ spl24_84 ),
inference(sat_conversion,[],[f6200]) ).
cnf(s971,plain,
( ~ spl24_91
| ~ spl24_95 ),
inference(sat_conversion,[],[f6216]) ).
cnf(s972,plain,
( ~ spl24_102
| ~ spl24_104 ),
inference(sat_conversion,[],[f6225]) ).
cnf(s973,plain,
( ~ spl24_102
| ~ spl24_104 ),
inference(sat_conversion,[],[f6227]) ).
cnf(s974,plain,
( ~ spl24_72
| spl24_112
| ~ spl24_191 ),
inference(sat_conversion,[],[f6228]) ).
cnf(s978,plain,
( ~ spl24_107
| ~ spl24_110 ),
inference(sat_conversion,[],[f6285]) ).
cnf(s991,plain,
( ~ spl24_20
| ~ spl24_104
| spl24_163 ),
inference(sat_conversion,[],[f6306]) ).
cnf(s1010,plain,
( ~ spl24_13
| ~ spl24_14 ),
inference(sat_conversion,[],[f6423]) ).
cnf(s1014,plain,
( spl24_15
| ~ spl24_111
| ~ spl24_207 ),
inference(sat_conversion,[],[f6451]) ).
cnf(s1017,plain,
( ~ spl24_46
| ~ spl24_50 ),
inference(sat_conversion,[],[f6477]) ).
cnf(s1029,plain,
( ~ spl24_49
| ~ spl24_50 ),
inference(sat_conversion,[],[f6543]) ).
cnf(s1032,plain,
( ~ spl24_50
| ~ spl24_97
| ~ spl24_200 ),
inference(sat_conversion,[],[f6555]) ).
cnf(s1054,plain,
( ~ spl24_70
| ~ spl24_98
| spl24_199 ),
inference(sat_conversion,[],[f6583]) ).
cnf(s1075,plain,
( ~ spl24_22
| ~ spl24_25 ),
inference(sat_conversion,[],[f6725]) ).
cnf(s1082,plain,
( ~ spl24_12
| spl24_36
| ~ spl24_161 ),
inference(sat_conversion,[],[f6737]) ).
cnf(s1096,plain,
( ~ spl24_43
| spl24_67
| ~ spl24_176 ),
inference(sat_conversion,[],[f6755]) ).
cnf(s1104,plain,
( ~ spl24_55
| ~ spl24_111
| spl24_181 ),
inference(sat_conversion,[],[f6758]) ).
cnf(s1117,plain,
( ~ spl24_83
| ~ spl24_85 ),
inference(sat_conversion,[],[f6886]) ).
cnf(s1129,plain,
( ~ spl24_28
| ~ spl24_29 ),
inference(sat_conversion,[],[f6986]) ).
cnf(s1135,plain,
( ~ spl24_29
| ~ spl24_30 ),
inference(sat_conversion,[],[f7078]) ).
cnf(s1136,plain,
( ~ spl24_12
| spl24_28
| ~ spl24_160 ),
inference(sat_conversion,[],[f7079]) ).
cnf(s1147,plain,
( ~ spl24_32
| ~ spl24_34 ),
inference(sat_conversion,[],[f7196]) ).
cnf(s1148,plain,
( ~ spl24_32
| ~ spl24_34 ),
inference(sat_conversion,[],[f7198]) ).
cnf(s1185,plain,
( ~ spl24_70
| spl24_114
| ~ spl24_186 ),
inference(sat_conversion,[],[f7212]) ).
cnf(s1200,plain,
( spl24_45
| ~ spl24_117
| ~ spl24_209 ),
inference(sat_conversion,[],[f7383]) ).
cnf(s1207,plain,
( ~ spl24_91
| ~ spl24_94 ),
inference(sat_conversion,[],[f7443]) ).
cnf(s1213,plain,
( ~ spl24_91
| ~ spl24_93 ),
inference(sat_conversion,[],[f7554]) ).
cnf(s1225,plain,
( ~ spl24_24
| ~ spl24_104
| spl24_168 ),
inference(sat_conversion,[],[f7559]) ).
cnf(s1254,plain,
( spl24_23
| ~ spl24_71
| ~ spl24_190 ),
inference(sat_conversion,[],[f7693]) ).
cnf(s1258,plain,
( ~ spl24_1
| ~ spl24_3 ),
inference(sat_conversion,[],[f7731]) ).
cnf(s1260,plain,
( ~ spl24_38
| ~ spl24_40 ),
inference(sat_conversion,[],[f7772]) ).
cnf(s1262,plain,
( ~ spl24_61
| ~ spl24_65 ),
inference(sat_conversion,[],[f7789]) ).
cnf(s1263,plain,
~ spl24_88,
inference(rat,[],[s496,s158]) ).
cnf(s1264,plain,
~ spl24_129,
inference(rat,[],[s452,s158]) ).
cnf(s1265,plain,
~ spl24_86,
inference(rat,[],[s434,s158]) ).
cnf(s1266,plain,
~ spl24_128,
inference(rat,[],[s283,s158]) ).
cnf(s1267,plain,
~ spl24_87,
inference(rat,[],[s251,s158]) ).
cnf(s1268,plain,
~ spl24_89,
inference(rat,[],[s194,s158]) ).
cnf(s1269,plain,
( spl24_132
| spl24_133
| spl24_134
| spl24_135
| spl24_136
| spl24_138
| spl24_139
| spl24_140
| spl24_141
| spl24_142
| spl24_144
| spl24_145
| spl24_146
| spl24_147
| spl24_148
| spl24_150
| spl24_151
| spl24_152
| spl24_153
| spl24_154 ),
inference(rat,[],[s80,s142,s124,s106,s88]) ).
cnf(s1272,plain,
~ spl24_93,
inference(rat,[],[s1213,s77]) ).
cnf(s1273,plain,
~ spl24_94,
inference(rat,[],[s1207,s77]) ).
cnf(s1274,plain,
~ spl24_95,
inference(rat,[],[s971,s77]) ).
cnf(s1275,plain,
~ spl24_92,
inference(rat,[],[s357,s77]) ).
cnf(s1276,plain,
( spl24_20
| spl24_45
| spl24_70
| spl24_120 ),
inference(rat,[],[s65,s1274]) ).
cnf(s1279,plain,
( spl24_78
| spl24_83
| spl24_98 ),
inference(rat,[],[s62,s1272,s1263]) ).
cnf(s1280,plain,
( spl24_18
| spl24_43
| spl24_68
| spl24_118 ),
inference(rat,[],[s61,s1272]) ).
cnf(s1281,plain,
( spl24_77
| spl24_82
| spl24_97 ),
inference(rat,[],[s60,s1275,s1267]) ).
cnf(s1282,plain,
( spl24_17
| spl24_42
| spl24_67
| spl24_117 ),
inference(rat,[],[s59,s1275]) ).
cnf(s1283,plain,
( spl24_14
| spl24_39
| spl24_64
| spl24_114 ),
inference(rat,[],[s53,s1268]) ).
cnf(s1285,plain,
( spl24_12
| spl24_37
| spl24_62
| spl24_112 ),
inference(rat,[],[s49,s1267]) ).
cnf(s1286,plain,
( spl24_11
| spl24_36
| spl24_61
| spl24_111 ),
inference(rat,[],[s47,s1265]) ).
cnf(s1287,plain,
( spl24_126
| spl24_127
| spl24_130 ),
inference(rat,[],[s26,s1264,s1266]) ).
cnf(s1290,plain,
( ~ spl24_62
| ~ spl24_13
| ~ spl24_130 ),
inference(rat,[],[s295,s1286,s1283,s329,s390,s426,s444,s378,s200,s201,s234,s1010,s699]) ).
cnf(s1293,plain,
( ~ spl24_32
| ~ spl24_125
| spl24_4
| spl24_3 ),
inference(rat,[],[s799,s83,s84,s601,s1148,s538,s508,s1272,s1273]) ).
cnf(s1294,plain,
( ~ spl24_125
| spl24_4
| spl24_3
| spl24_2 ),
inference(rat,[],[s236,s83,s84,s262,s390,s82,s1293,s508,s538,s603,s1272,s1273,s1275]) ).
cnf(s1295,plain,
( ~ spl24_130
| spl24_125 ),
inference(rat,[],[s75,s299,s334,s197,s198,s200,s233]) ).
cnf(s1296,plain,
( ~ spl24_62
| spl24_33
| spl24_34
| spl24_4
| spl24_3 ),
inference(rat,[],[s506,s83,s84,s262,s390,s1272,s1273]) ).
cnf(s1297,plain,
( ~ spl24_114
| spl24_61
| spl24_62
| spl24_36
| spl24_37
| spl24_40 ),
inference(rat,[],[s1082,s585,s1285,s1286,s776,s439,s441,s158]) ).
cnf(s1298,plain,
( spl24_64
| spl24_33
| spl24_34
| spl24_39
| spl24_36
| spl24_37
| spl24_40
| spl24_4
| spl24_3 ),
inference(rat,[],[s811,s1285,s1286,s400,s527,s1283,s1297,s767,s83,s506,s84,s1296,s1272,s1273]) ).
cnf(s1299,plain,
( ~ spl24_17
| spl24_13
| spl24_14
| spl24_8
| spl24_9
| spl24_4
| spl24_3 ),
inference(rat,[],[s876,s32,s34,s214,s592]) ).
cnf(s1301,plain,
( ~ spl24_96
| ~ spl24_84 ),
inference(rat,[],[s691,s1279,s1281,s749,s924,s967,s425]) ).
cnf(s1302,plain,
( ~ spl24_23
| ~ spl24_111
| spl24_96
| spl24_121
| spl24_124
| spl24_122
| spl24_47
| spl24_46
| spl24_49 ),
inference(rat,[],[s359,s69,s73,s974,s784,s962,s67,s615,s858,s877,s811]) ).
cnf(s1304,plain,
( ~ spl24_120
| spl24_112
| spl24_124
| spl24_122
| spl24_114
| spl24_109
| spl24_107 ),
inference(rat,[],[s972,s74,s70,s346,s792,s795,s1274]) ).
cnf(s1305,plain,
( ~ spl24_111
| spl24_14
| spl24_96
| spl24_121
| spl24_124
| spl24_122
| spl24_114
| spl24_62
| spl24_132
| spl24_136
| spl24_152
| spl24_140
| spl24_138
| spl24_142
| spl24_147
| spl24_139
| spl24_57
| spl24_8
| spl24_9
| spl24_45
| spl24_42
| spl24_83
| spl24_36
| spl24_37
| spl24_109
| spl24_107
| spl24_29
| ~ spl24_50
| spl24_4
| spl24_3 ),
inference(rat,[],[s148,s1269,s1225,s118,s156,s133,s33,s264,s658,s1200,s226,s512,s96,s127,s50,s1282,s1279,s362,s341,s363,s1054,s1276,s1304,s99,s144,s549,s898,s1032,s69,s974,s129,s962,s1254,s67,s878,s895,s34,s269,s292,s32,s1302,s1299,s153,s93,s1014,s1082,s374,s643,s1285,s811,s1029,s1017,s299,s138,s235,s158]) ).
cnf(s1306,plain,
( spl24_14
| spl24_96
| spl24_121
| spl24_124
| spl24_122
| spl24_114
| spl24_61
| spl24_62
| spl24_132
| spl24_136
| spl24_152
| spl24_140
| spl24_138
| spl24_142
| spl24_147
| spl24_139
| spl24_57
| spl24_8
| spl24_7
| spl24_9
| spl24_45
| spl24_42
| spl24_83
| spl24_36
| spl24_37
| spl24_109
| spl24_107
| spl24_29
| ~ spl24_50
| spl24_4
| spl24_3
| spl24_2 ),
inference(rat,[],[s291,s32,s34,s615,s878,s30,s1082,s1299,s585,s699,s1286,s1305]) ).
cnf(s1307,plain,
( spl24_96
| spl24_121
| spl24_2
| spl24_124
| spl24_122
| spl24_114
| spl24_61
| spl24_62
| spl24_132
| spl24_136
| spl24_152
| spl24_140
| spl24_138
| spl24_142
| spl24_147
| spl24_139
| spl24_57
| spl24_8
| spl24_7
| spl24_9
| spl24_45
| spl24_42
| spl24_83
| spl24_36
| spl24_37
| spl24_109
| spl24_107
| spl24_29
| ~ spl24_50
| spl24_4
| spl24_3 ),
inference(rat,[],[s811,s1285,s1286,s400,s527,s1306]) ).
cnf(s1308,plain,
( spl24_4
| spl24_3
| spl24_1
| spl24_2 ),
inference(rat,[],[s1307,s1301,s497,s506,s961,s1297,s83,s774,s799,s1298,s1296,s91,s102,s601,s1148,s160,s806,s151,s113,s109,s121,s40,s136,s111,s6,s299,s872,s873,s323,s493,s857,s207,s366,s652,s242,s358,s396,s536,s967,s289,s319,s469,s1260,s488,s978,s168,s169,s170,s171,s570,s571,s572,s654,s655,s656,s870,s1287,s1295,s1294,s167,s1,s1275,s1272]) ).
cnf(s1309,plain,
( ~ spl24_65
| ~ spl24_38 ),
inference(rat,[],[s811,s1285,s1286,s400,s527,s1283,s1297,s340,s777,s1262,s1260,s469,s319,s289]) ).
cnf(s1310,plain,
( ~ spl24_127
| spl24_5
| spl24_3 ),
inference(rat,[],[s811,s1285,s1286,s400,s527,s1283,s1297,s262,s767,s799,s83,s508,s85,s1309,s601,s40,s299,s358,s289,s319,s469,s1260,s168,s570,s574,s654,s656,s1272,s1274]) ).
cnf(s1311,plain,
( spl24_36
| spl24_61
| spl24_64
| spl24_62
| ~ spl24_130 ),
inference(rat,[],[s240,s1285,s1283,s1082,s527,s585,s1286,s426,s250,s444,s378,s200,s201,s234]) ).
cnf(s1312,plain,
( spl24_62
| ~ spl24_130
| spl24_3
| spl24_2 ),
inference(rat,[],[s399,s1285,s1283,s254,s295,s1311,s767,s799,s83,s601,s82,s250,s603,s508,s1295,s444,s378,s200,s201,s234,s1272,s1275]) ).
cnf(s1313,plain,
( ~ spl24_18
| spl24_12
| spl24_15
| spl24_22
| spl24_25
| spl24_5
| spl24_2 ),
inference(rat,[],[s212,s30,s36,s214,s269]) ).
cnf(s1314,plain,
( spl24_36
| spl24_13
| spl24_61
| spl24_111
| spl24_22
| spl24_23
| spl24_25
| spl24_5
| spl24_3
| spl24_2 ),
inference(rat,[],[s401,s30,s36,s209,s215,s32,s1313,s1082,s585,s900,s1286]) ).
cnf(s1315,plain,
( spl24_3
| spl24_2
| spl24_1 ),
inference(rat,[],[s401,s30,s36,s209,s215,s32,s1313,s271,s400,s1283,s295,s1314,s1290,s329,s390,s1312,s444,s378,s426,s179,s181,s197,s200,s201,s234,s1287,s1310,s166,s267,s1308]) ).
cnf(s1316,plain,
( ~ spl24_18
| ~ spl24_12
| ~ spl24_127
| ~ spl24_3 ),
inference(rat,[],[s771,s36,s34,s269,s292,s695,s205,s366,s412,s160,s6,s170,s168,s169,s572,s171,s400,s374]) ).
cnf(s1317,plain,
( ~ spl24_25
| spl24_22
| ~ spl24_111
| spl24_124
| spl24_122
| spl24_121
| spl24_47
| spl24_46
| spl24_49
| spl24_96 ),
inference(rat,[],[s359,s69,s73,s974,s784,s962,s67,s748,s771,s811]) ).
cnf(s1318,plain,
( spl24_22
| spl24_18
| ~ spl24_111
| spl24_133
| spl24_15
| spl24_14
| spl24_10
| spl24_132
| spl24_136
| spl24_123
| spl24_124
| spl24_122
| spl24_121
| spl24_152
| spl24_140
| spl24_138
| spl24_142
| spl24_147
| spl24_114
| spl24_47
| spl24_48
| spl24_46
| spl24_49
| spl24_57
| spl24_60
| spl24_9
| spl24_96
| spl24_65
| spl24_109
| spl24_27
| spl24_29
| ~ spl24_44
| spl24_62
| spl24_5
| spl24_4
| spl24_2 ),
inference(rat,[],[s132,s568,s1269,s29,s95,s148,s973,s991,s1225,s74,s157,s546,s746,s126,s1280,s384,s781,s50,s116,s274,s1104,s56,s1054,s99,s144,s549,s898,s735,s69,s71,s974,s129,s331,s784,s786,s962,s1254,s67,s895,s34,s397,s36,s1317,s304,s242,s111,s536,s138,s235,s811,s1302,s153,s1014,s158,s1275]) ).
cnf(s1319,plain,
( spl24_18
| ~ spl24_111
| spl24_2
| spl24_133
| spl24_15
| spl24_14
| spl24_10
| spl24_132
| spl24_136
| spl24_123
| spl24_124
| spl24_122
| spl24_121
| spl24_152
| spl24_140
| spl24_138
| spl24_142
| spl24_147
| spl24_114
| spl24_47
| spl24_48
| spl24_46
| spl24_49
| spl24_57
| spl24_60
| spl24_9
| spl24_96
| spl24_65
| spl24_109
| spl24_27
| spl24_29
| ~ spl24_44
| spl24_62
| spl24_5
| spl24_4 ),
inference(rat,[],[s397,s34,s36,s878,s1075,s1318]) ).
cnf(s1320,plain,
( ~ spl24_12
| ~ spl24_127
| spl24_61
| spl24_36
| spl24_62
| ~ spl24_3
| spl24_2 ),
inference(rat,[],[s1319,s1316,s1286,s93,s584,s1082,s1136,s374,s400,s695,s488,s1301,s366,s838,s323,s1029,s1017,s616,s299,s1297,s469,s1260,s136,s396,s654,s655,s121,s109,s857,s571,s113,s873,s151,s872,s570,s870,s617,s603,s538,s508,s85,s1309,s656,s205,s574,s102,s806,s91,s412,s160,s6,s170,s168,s169,s572,s171,s1274]) ).
cnf(s1322,plain,
( ~ spl24_25
| spl24_14
| spl24_12
| spl24_7
| spl24_9
| spl24_4
| spl24_2 ),
inference(rat,[],[s591,s34,s30,s771,s1075]) ).
cnf(s1323,plain,
( ~ spl24_127
| spl24_61
| spl24_36
| spl24_62
| ~ spl24_3
| spl24_2 ),
inference(rat,[],[s878,s34,s30,s397,s401,s36,s1322,s527,s900,s1286,s811,s1285,s1320,s412,s160,s6,s207,s366,s469,s168,s169,s170,s171,s572,s656,s695,s205]) ).
cnf(s1324,plain,
( ~ spl24_10
| spl24_12
| spl24_14
| spl24_22
| spl24_24
| spl24_4
| spl24_2 ),
inference(rat,[],[s591,s30,s34,s213,s393]) ).
cnf(s1325,plain,
( spl24_61
| spl24_36
| spl24_62
| ~ spl24_3
| spl24_2 ),
inference(rat,[],[s210,s34,s30,s397,s401,s36,s1324,s1082,s527,s585,s900,s1286,s426,s179,s183,s197,s201,s1287,s1323,s695,s205,s165]) ).
cnf(s1326,plain,
( ~ spl24_127
| ~ spl24_61
| ~ spl24_3 ),
inference(rat,[],[s84,s1148,s538,s40,s299,s85,s358,s469,s168,s570,s574,s654,s656,s695,s205,s1262,s774,s1273,s1274]) ).
cnf(s1327,plain,
( ~ spl24_61
| spl24_62
| ~ spl24_3
| spl24_2 ),
inference(rat,[],[s1147,s84,s82,s538,s603,s1295,s1287,s1326,s774,s695,s165,s1273,s1275]) ).
cnf(s1328,plain,
( ~ spl24_30
| spl24_33
| spl24_34
| spl24_49
| spl24_48
| spl24_39
| spl24_38 ),
inference(rat,[],[s304,s42,s44,s479,s1135]) ).
cnf(s1329,plain,
( spl24_62
| ~ spl24_3
| spl24_2 ),
inference(rat,[],[s1129,s44,s42,s242,s290,s46,s1328,s543,s601,s1148,s82,s603,s248,s294,s299,s1295,s198,s1287,s656,s295,s303,s319,s1325,s1327,s165,s1275]) ).
cnf(s1330,plain,
( ~ spl24_127
| spl24_65
| spl24_64
| spl24_5
| spl24_4 ),
inference(rat,[],[s84,s1148,s538,s40,s299,s85,s358,s469,s168,s570,s574,s654,s656,s1273,s1274]) ).
cnf(s1331,plain,
( spl24_36
| spl24_111
| spl24_22
| spl24_24
| spl24_25
| spl24_61
| spl24_5
| spl24_4
| spl24_2 ),
inference(rat,[],[s210,s34,s30,s397,s401,s36,s1324,s1082,s527,s585,s900,s1286]) ).
cnf(s1334,plain,
( ~ spl24_54
| spl24_27
| spl24_30
| spl24_105
| spl24_102
| spl24_5
| spl24_2 ),
inference(rat,[],[s422,s35,s29,s193,s264]) ).
cnf(s1335,plain,
( spl24_30
| spl24_8
| spl24_18
| spl24_40
| spl24_38
| spl24_33
| spl24_35
| spl24_108
| spl24_48
| spl24_50
| spl24_74
| spl24_118
| spl24_97
| spl24_105
| spl24_102
| spl24_104
| spl24_64
| spl24_5
| spl24_4
| spl24_2 ),
inference(rat,[],[s565,s1281,s41,s564,s763,s33,s54,s1334,s537,s284,s1129,s1280,s42,s290,s46]) ).
cnf(s1336,plain,
( ~ spl24_58
| spl24_66
| spl24_69
| spl24_8
| spl24_71
| spl24_74
| spl24_61
| spl24_64 ),
inference(rat,[],[s48,s163,s409,s54,s635,s763]) ).
cnf(s1337,plain,
( spl24_20
| spl24_138
| ~ spl24_14
| spl24_40
| spl24_38
| spl24_33
| spl24_35
| spl24_31
| spl24_135
| spl24_140
| spl24_108
| spl24_152
| spl24_145
| spl24_153
| spl24_114
| spl24_150
| spl24_154
| spl24_151
| spl24_48
| spl24_50
| spl24_71
| spl24_74
| spl24_118
| spl24_97
| spl24_105
| spl24_102
| spl24_22
| spl24_104
| spl24_25
| ~ spl24_107
| spl24_120
| spl24_61
| spl24_64
| spl24_5
| spl24_4
| spl24_2 ),
inference(rat,[],[s1269,s117,s133,s891,s54,s120,s676,s691,s332,s409,s1281,s136,s37,s565,s664,s965,s41,s1336,s111,s127,s1096,s490,s338,s341,s363,s1185,s96,s1276,s581,s290,s301,s42,s103,s479,s517,s1335,s30,s90,s652,s213,s215,s421,s36,s372,s138,s235,s93,s528,s1313,s400,s271,s158]) ).
cnf(s1338,plain,
( ~ spl24_58
| spl24_6
| spl24_8
| spl24_10
| spl24_35
| spl24_31
| spl24_106
| spl24_110
| spl24_97
| spl24_98 ),
inference(rat,[],[s1281,s691,s689,s1279,s37,s1117,s409,s45,s635,s838]) ).
cnf(s1339,plain,
( spl24_2
| spl24_1 ),
inference(rat,[],[s335,s37,s45,s965,s1117,s41,s1338,s207,s209,s213,s30,s401,s1337,s108,s738,s400,s1283,s295,s303,s319,s1331,s237,s249,s261,s100,s84,s417,s115,s445,s149,s130,s153,s441,s145,s156,s147,s538,s5,s294,s299,s368,s369,s372,s978,s331,s342,s386,s379,s426,s344,s346,s546,s359,s487,s185,s419,s1295,s178,s179,s181,s182,s183,s197,s198,s199,s200,s201,s202,s203,s234,s586,s1287,s1330,s329,s340,s390,s1329,s165,s205,s695,s1315,s1274,s158,s1273]) ).
cnf(s1340,plain,
( ~ spl24_62
| ~ spl24_2 ),
inference(rat,[],[s236,s83,s84,s262,s390,s707,s538,s508,s1295,s1287,s1310,s626,s588,s312,s1272,s1273]) ).
cnf(s1341,plain,
( ~ spl24_10
| ~ spl24_12
| ~ spl24_2 ),
inference(rat,[],[s291,s32,s34,s215,s393,s707,s183,s181,s1287,s1310,s626,s588,s312,s643,s400]) ).
cnf(s1342,plain,
( ~ spl24_12
| ~ spl24_2 ),
inference(rat,[],[s394,s32,s34,s269,s397,s36,s1341,s374,s400,s643,s707,s197,s183,s181,s1287,s1310,s626,s588,s312]) ).
cnf(s1343,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_2 ),
inference(rat,[],[s291,s32,s34,s215,s393,s707,s183,s181,s1287,s1310,s626,s588,s312,s699,s527]) ).
cnf(s1344,plain,
( ~ spl24_11
| ~ spl24_2 ),
inference(rat,[],[s394,s32,s34,s269,s397,s36,s1343,s527,s699,s900,s707,s197,s183,s181,s1287,s1310,s626,s588,s312]) ).
cnf(s1345,plain,
~ spl24_2,
inference(rat,[],[s236,s83,s84,s767,s774,s1286,s1344,s254,s1285,s1342,s1340,s508,s538,s250,s426,s1295,s201,s1287,s1310,s312,s588,s626,s707,s1272,s1273]) ).
cnf(s1346,plain,
spl24_1,
inference(rat,[],[s1339,s1345]) ).
cnf(s1347,plain,
~ spl24_3,
inference(rat,[],[s1258,s1346]) ).
cnf(s1348,plain,
~ spl24_5,
inference(rat,[],[s875,s1346]) ).
cnf(s1349,plain,
~ spl24_127,
inference(rat,[],[s1310,s1347,s1348]) ).
cnf(s1350,plain,
( ~ spl24_62
| spl24_4 ),
inference(rat,[],[s1296,s239,s249,s85,s340,s1294,s1347,s1348,s1274,s1345]) ).
cnf(s1351,plain,
( ~ spl24_64
| spl24_4 ),
inference(rat,[],[s961,s83,s82,s239,s543,s85,s777,s799,s1294,s1350,s1347,s1272,s1275,s1345,s1348,s1274]) ).
cnf(s1352,plain,
( ~ spl24_36
| spl24_4 ),
inference(rat,[],[s776,s441,s1285,s1283,s254,s295,s303,s310,s643,s461,s1287,s1295,s1294,s1350,s1351,s158,s1349,s1345,s1347]) ).
cnf(s1353,plain,
( ~ spl24_111
| spl24_4 ),
inference(rat,[],[s240,s1283,s1285,s439,s811,s310,s643,s461,s1287,s1295,s1294,s1350,s1351,s1349,s1345,s1347]) ).
cnf(s1354,plain,
spl24_4,
inference(rat,[],[s961,s83,s82,s239,s543,s85,s767,s1262,s1286,s1353,s1352,s1350,s699,s461,s1287,s1295,s1294,s1347,s1272,s1275,s1345,s1348,s1274,s1349]) ).
cnf(s1355,plain,
~ spl24_126,
inference(rat,[],[s166,s1354]) ).
cnf(s1356,plain,
spl24_130,
inference(rat,[],[s1287,s1349,s1355]) ).
cnf(s1358,plain,
spl24_99,
inference(rat,[],[s234,s1356]) ).
cnf(s1362,plain,
spl24_113,
inference(rat,[],[s201,s1356]) ).
cnf(s1363,plain,
spl24_73,
inference(rat,[],[s200,s1356]) ).
cnf(s1366,plain,
~ spl24_25,
inference(rat,[],[s197,s1356]) ).
cnf(s1369,plain,
~ spl24_23,
inference(rat,[],[s181,s1356]) ).
cnf(s1371,plain,
~ spl24_22,
inference(rat,[],[s179,s1356]) ).
cnf(s1374,plain,
spl24_62,
inference(rat,[],[s1312,s1345,s1347,s1356]) ).
cnf(s1388,plain,
~ spl24_111,
inference(rat,[],[s426,s1362]) ).
cnf(s1393,plain,
spl24_206,
inference(rat,[],[s378,s1362,s1363]) ).
cnf(s1411,plain,
~ spl24_64,
inference(rat,[],[s390,s1374]) ).
cnf(s1413,plain,
~ spl24_61,
inference(rat,[],[s329,s1374]) ).
cnf(s1415,plain,
~ spl24_13,
inference(rat,[],[s1290,s1356,s1374]) ).
cnf(s1421,plain,
~ spl24_114,
inference(rat,[],[s444,s1358,s1393]) ).
cnf(s1435,plain,
spl24_36,
inference(rat,[],[s1314,s1345,s1347,s1348,s1366,s1415,s1388,s1369,s1371,s1413]) ).
cnf(s1444,plain,
~ spl24_39,
inference(rat,[],[s295,s1435]) ).
cnf(s1448,plain,
spl24_14,
inference(rat,[],[s1283,s1421,s1411,s1444]) ).
cnf(s1451,plain,
~ spl24_12,
inference(rat,[],[s400,s1448]) ).
cnf(s1452,plain,
~ spl24_15,
inference(rat,[],[s271,s1448]) ).
cnf(s1455,plain,
~ spl24_18,
inference(rat,[],[s1313,s1345,s1348,s1366,s1451,s1371,s1452]) ).
cnf(s1457,plain,
spl24_8,
inference(rat,[],[s32,s1415,s1369,s1347,s1455]) ).
cnf(s1459,plain,
~ spl24_10,
inference(rat,[],[s215,s1457]) ).
cnf(s1460,plain,
~ spl24_7,
inference(rat,[],[s209,s1457]) ).
cnf(s1461,plain,
spl24_20,
inference(rat,[],[s36,s1366,s1452,s1348,s1459]) ).
cnf(s1462,plain,
spl24_17,
inference(rat,[],[s30,s1371,s1451,s1345,s1460]) ).
cnf(s1464,plain,
$false,
inference(rat,[],[s401,s1461,s1462]) ).
fof(f7790,plain,
$false,
inference(avatar_sat_refutation,[],[s1464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG064+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n018.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 19:26:26 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/1.28 % (3687662)Detected formulas, will run a generic FOF schedule.
% 4.00/1.28 % (3687673)dis-21_1_sil=8000:lcm=predicate:random_seed=3132205542:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.00/1.28 % (3687673)Refutation not found, incomplete strategy
% 4.00/1.28 % (3687673)------------------------------
% 4.00/1.28 % (3687673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687673)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687673)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.28 % (3687673)Time elapsed: 0.007 s
% 4.00/1.28 % (3687673)Peak memory usage: 89 MB
% 4.00/1.28 % (3687673)Instructions burned: 22 (million)
% 4.00/1.28 % (3687672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2715208326:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.00/1.28 % (3687671)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=195385802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.00/1.28 % (3687668)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=890344648:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.00/1.28 % (3687667)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2175893367:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.00/1.28 % (3687670)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1555139973:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.00/1.28 % (3687669)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=354586356:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.00/1.28 % (3687670)Refutation not found, incomplete strategy
% 4.00/1.28 % (3687670)------------------------------
% 4.00/1.28 % (3687670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687670)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687670)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.28 % (3687670)Time elapsed: 0.011 s
% 4.00/1.28 % (3687670)Peak memory usage: 89 MB
% 4.00/1.28 % (3687670)Instructions burned: 23 (million)
% 4.00/1.28 % (3687671)Instruction limit reached!
% 4.00/1.28 % (3687671)------------------------------
% 4.00/1.28 % (3687671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687671)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687671)Termination reason: Instruction limit
% 4.00/1.28 % (3687671)Termination phase: Saturation
% 4.00/1.28 % (3687671)Time elapsed: 0.052 s
% 4.00/1.28 % (3687671)Peak memory usage: 88 MB
% 4.00/1.28 % (3687671)Instructions burned: 121 (million)
% 4.00/1.28 % (3687672)Instruction limit reached!
% 4.00/1.28 % (3687672)------------------------------
% 4.00/1.28 % (3687672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687672)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687672)Termination reason: Instruction limit
% 4.00/1.28 % (3687672)Termination phase: Saturation
% 4.00/1.28 % (3687672)Time elapsed: 0.073 s
% 4.00/1.28 % (3687672)Peak memory usage: 89 MB
% 4.00/1.28 % (3687672)Instructions burned: 139 (million)
% 4.00/1.28 % (3687673)------------------------------
% 4.00/1.28 % (3687673)------------------------------
% 4.00/1.28 % (3687681)lrs+10_1_sil=8000:sp=occurrence:random_seed=298056262:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.00/1.28 % (3687682)lrs+10_1_sil=32000:urr=on:br=off:random_seed=198872834:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.00/1.28 % (3687683)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3608350687:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.00/1.28 % (3687670)------------------------------
% 4.00/1.28 % (3687670)------------------------------
% 4.00/1.28 % (3687683)First to succeed.
% 4.00/1.28 % (3687682)Instruction limit reached!
% 4.00/1.28 % (3687682)------------------------------
% 4.00/1.28 % (3687682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687682)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687682)Termination reason: Instruction limit
% 4.00/1.28 % (3687682)Termination phase: Saturation
% 4.00/1.28 % (3687682)Time elapsed: 0.086 s
% 4.00/1.28 % (3687682)Peak memory usage: 90 MB
% 4.00/1.28 % (3687682)Instructions burned: 157 (million)
% 4.00/1.28 % (3687683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3687662"
% 4.00/1.28 % (3687681)Also succeeded, but the first one will report.
% 4.00/1.28 [W928 19:26:27.502880424 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502880484 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502922391 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502922261 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502957268 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502957985 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502969102 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502969825 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502994702 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.502994688 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503016379 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503016675 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503162273 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503197593 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503232024 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503242617 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503267064 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 [W928 19:26:27.503276821 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.28 % (3687687)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1641856892:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.00/1.28 % (3687688)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2178786423:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.00/1.28 % (3687688)Refutation not found, incomplete strategy
% 4.00/1.28 % (3687688)------------------------------
% 4.00/1.28 % (3687688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.28 % (3687688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.28 % (3687688)CaDiCaL version: 2.1.3
% 4.00/1.28 % (3687688)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.28 % (3687688)Time elapsed: 0.009 s
% 4.00/1.28 % (3687688)Peak memory usage: 88 MB
% 4.00/1.28 % (3687688)Instructions burned: 17 (million)
% 4.00/1.28 % (3687683)Refutation found. Thanks to Tanya!
% 4.00/1.28 % SZS status Theorem for theBenchmark
% 4.00/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 4.88/1.47 % (3687683)------------------------------
% 4.88/1.47 % (3687683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.47 % (3687683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.47 % (3687683)CaDiCaL version: 2.1.3
% 4.88/1.47 % (3687683)Termination reason: Refutation
% 4.88/1.47 % (3687683)Time elapsed: 0.072 s
% 4.88/1.47 % (3687683)Peak memory usage: 91 MB
% 4.88/1.47 % (3687683)Instructions burned: 250 (million)
% 4.88/1.47 % (3687683)------------------------------
% 4.88/1.47 % (3687683)------------------------------
% 4.88/1.47 % (3687662)Success in time 0.612 s
% 4.88/1.47 % Vampire exiting
%------------------------------------------------------------------------------