%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG022+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:20:06 AM UTC 2026
% Result : Theorem 0.30s 0.27s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 127
% Syntax : Number of formulae : 916 ( 188 unt; 122 def)
% Number of atoms : 3821 (1531 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 5184 (2279 ~;2384 |; 399 &)
% ( 122 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 147 ( 145 usr; 146 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e1,e0) = e1
& op(e1,e1) = e3
& op(e1,e2) = e0
& op(e1,e3) = e2
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( inv(e0) = e0
& inv(e1) = e2
& inv(e2) = e1
& inv(e3) = e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,conjecture,
( ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& 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
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f6,negated_conjecture,
~ ( ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& 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
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| unit != op(e0,inv(e0))
| unit != op(inv(e0),e0)
| unit != op(e1,inv(e1))
| unit != op(inv(e1),e1)
| unit != op(e2,inv(e2))
| unit != op(inv(e2),e2)
| unit != op(e3,inv(e3))
| unit != op(inv(e3),e3)
| ( e0 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0)
& e3 != inv(e0) )
| ( e0 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e3 != inv(e1) )
| ( e0 != inv(e2)
& e1 != inv(e2)
& e2 != inv(e2)
& e3 != inv(e2) )
| ( e0 != inv(e3)
& e1 != inv(e3)
& e2 != inv(e3)
& e3 != inv(e3) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ( e0 != op(e0,e0)
& e1 != op(e0,e0)
& e2 != op(e0,e0)
& e3 != op(e0,e0) )
| ( e0 != op(e0,e1)
& e1 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1) )
| ( e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e0 != op(e1,e0)
& e1 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0) )
| ( e0 != op(e1,e1)
& e1 != op(e1,e1)
& e2 != op(e1,e1)
& e3 != op(e1,e1) )
| ( e0 != op(e1,e2)
& e1 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2) )
| ( e0 != op(e1,e3)
& e1 != op(e1,e3)
& e2 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e0 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e3 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e1 != op(e2,e1)
& e2 != op(e2,e1)
& e3 != op(e2,e1) )
| ( e0 != op(e2,e2)
& e1 != op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e2,e2) )
| ( e0 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3) )
| ( e0 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e3,e1)
& e1 != op(e3,e1)
& e2 != op(e3,e1)
& e3 != op(e3,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e0 != op(e3,e3)
& e1 != op(e3,e3)
& e2 != op(e3,e3)
& e3 != op(e3,e3) )
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| e0 != op(unit,e0)
| e0 != op(e0,unit)
| e1 != op(unit,e1)
| e1 != op(e1,unit)
| e2 != op(unit,e2)
| e2 != op(e2,unit)
| e3 != op(unit,e3)
| e3 != op(e3,unit)
| ( e0 != unit
& e1 != unit
& e2 != unit
& e3 != unit )
| unit != op(e0,inv(e0))
| unit != op(inv(e0),e0)
| unit != op(e1,inv(e1))
| unit != op(inv(e1),e1)
| unit != op(e2,inv(e2))
| unit != op(inv(e2),e2)
| unit != op(e3,inv(e3))
| unit != op(inv(e3),e3)
| ( e0 != inv(e0)
& e1 != inv(e0)
& e2 != inv(e0)
& e3 != inv(e0) )
| ( e0 != inv(e1)
& e1 != inv(e1)
& e2 != inv(e1)
& e3 != inv(e1) )
| ( e0 != inv(e2)
& e1 != inv(e2)
& e2 != inv(e2)
& e3 != inv(e2) )
| ( e0 != inv(e3)
& e1 != inv(e3)
& e2 != inv(e3)
& e3 != inv(e3) ) ),
inference(flattening,[],[f7]) ).
fof(f12,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f17,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f18,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
e1 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
e2 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
( e0 = op(e1,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
( e1 = op(e0,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
( e2 = op(e0,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
( e3 = op(e0,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
( e0 != op(e0,e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f8]) ).
fof(f58,plain,
( e1 != op(e0,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f8]) ).
fof(f61,plain,
( e2 != op(e0,e2)
| ~ sP16 ),
inference(cnf_transformation,[],[f8]) ).
fof(f64,plain,
( e3 != op(e0,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f8]) ).
fof(f70,plain,
( e1 != op(e1,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f8]) ).
fof(f72,plain,
( e3 != op(e1,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f8]) ).
fof(f79,plain,
( e0 != op(e1,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f8]) ).
fof(f81,plain,
( e2 != op(e1,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f8]) ).
fof(f85,plain,
( e2 != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f8]) ).
fof(f91,plain,
( e0 != op(e2,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f8]) ).
fof(f92,plain,
( e3 != op(e2,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f8]) ).
fof(f98,plain,
( e1 != op(e2,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f8]) ).
fof(f100,plain,
( e3 != op(e3,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f8]) ).
fof(f105,plain,
( e2 != op(e3,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f8]) ).
fof(f110,plain,
( e1 != op(e3,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f8]) ).
fof(f115,plain,
( e0 != op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f8]) ).
fof(f119,plain,
( e0 != unit
| ~ sP2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f123,plain,
( e0 != inv(e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f125,plain,
( e2 != inv(e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f142,plain,
( e3 != inv(e3)
| e1 != inv(e2)
| sP0
| sP1
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(e0),e0)
| unit != op(e0,inv(e0))
| sP2
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22 ),
inference(cnf_transformation,[],[f8]) ).
fof(f144,plain,
e1 != unit,
inference(definition_unfolding,[],[f14,f31]) ).
fof(f145,plain,
e2 != unit,
inference(definition_unfolding,[],[f13,f31]) ).
fof(f146,plain,
e3 != unit,
inference(definition_unfolding,[],[f12,f31]) ).
fof(f147,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f30,f31,f31,f31]) ).
fof(f148,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f29,f31]) ).
fof(f149,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f28,f31]) ).
fof(f150,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f27,f31]) ).
fof(f151,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f26,f31]) ).
fof(f152,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f24,f31]) ).
fof(f153,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f22,f31]) ).
fof(f154,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f21,f31]) ).
fof(f155,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f18,f31]) ).
fof(f156,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f15,f31]) ).
fof(f157,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f35,f31,f31]) ).
fof(f159,plain,
( e3 != inv(e3)
| e1 != inv(e2)
| sP0
| sP1
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(unit),unit)
| unit != op(unit,inv(unit))
| sP2
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| unit != op(unit,unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22 ),
inference(definition_unfolding,[],[f142,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31,f31]) ).
fof(f175,plain,
( unit != inv(unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f123,f31,f31]) ).
fof(f179,plain,
( unit != unit
| ~ sP2 ),
inference(definition_unfolding,[],[f119,f31]) ).
fof(f180,plain,
( op(e3,e3) != unit
| ~ sP3 ),
inference(definition_unfolding,[],[f115,f31]) ).
fof(f186,plain,
( e3 != op(e3,unit)
| ~ sP6 ),
inference(definition_unfolding,[],[f100,f31]) ).
fof(f189,plain,
( op(e2,e1) != unit
| ~ sP9 ),
inference(definition_unfolding,[],[f91,f31]) ).
fof(f192,plain,
( e2 != op(e2,unit)
| ~ sP10 ),
inference(definition_unfolding,[],[f85,f31]) ).
fof(f195,plain,
( op(e1,e2) != unit
| ~ sP12 ),
inference(definition_unfolding,[],[f79,f31]) ).
fof(f198,plain,
( e1 != op(e1,unit)
| ~ sP14 ),
inference(definition_unfolding,[],[f70,f31]) ).
fof(f204,plain,
( e3 != op(unit,e3)
| ~ sP15 ),
inference(definition_unfolding,[],[f64,f31]) ).
fof(f207,plain,
( e2 != op(unit,e2)
| ~ sP16 ),
inference(definition_unfolding,[],[f61,f31]) ).
fof(f210,plain,
( e1 != op(unit,e1)
| ~ sP17 ),
inference(definition_unfolding,[],[f58,f31]) ).
fof(f213,plain,
( unit != op(unit,unit)
| ~ sP18 ),
inference(definition_unfolding,[],[f55,f31,f31,f31]) ).
fof(f217,plain,
( e3 = op(unit,unit)
| ~ sP19 ),
inference(definition_unfolding,[],[f51,f31,f31]) ).
fof(f218,plain,
( e2 = op(unit,unit)
| ~ sP20 ),
inference(definition_unfolding,[],[f47,f31,f31]) ).
fof(f219,plain,
( e1 = op(unit,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f43,f31,f31]) ).
fof(f221,plain,
( op(e1,e1) = unit
| ~ sP22 ),
inference(definition_unfolding,[],[f38,f31]) ).
fof(f225,plain,
( e3 != inv(e3)
| e1 != inv(e2)
| ~ sP0
| sP1
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(unit),unit)
| unit != op(unit,inv(unit))
| sP2
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| unit != op(unit,unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| ~ sP3
| ~ sP4
| ~ sP5
| sP6
| sP7
| ~ sP8
| sP9
| ~ sP10
| sP11
| sP12
| sP13
| sP14
| ~ sP15
| sP16
| ~ sP17
| ~ sP18
| sP19
| sP20
| sP21
| ~ sP22 ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f242,plain,
( e2 != inv(e1)
| sP0 ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f244,plain,
( op(e3,e3) != unit
| sP3 ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f249,plain,
( e1 != op(e3,e2)
| sP4 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f254,plain,
( e2 != op(e3,e1)
| sP5 ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f259,plain,
( e3 != op(e2,e2)
| sP8 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f262,plain,
( e2 != op(e2,unit)
| sP10 ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f267,plain,
( e3 != op(unit,e3)
| sP15 ),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f269,plain,
( e1 != op(unit,e1)
| sP17 ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f272,plain,
( unit != op(unit,unit)
| sP18 ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f277,plain,
( op(e1,e1) = unit
| sP22 ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f280,plain,
~ sP2,
inference(trivial_inequality_removal,[],[f179]) ).
fof(f295,plain,
( e3 != inv(e3)
| e1 != inv(e2)
| ~ sP0
| sP1
| unit != op(inv(e3),e3)
| unit != op(e3,inv(e3))
| unit != op(inv(e2),e2)
| unit != op(e2,inv(e2))
| unit != op(inv(e1),e1)
| unit != op(e1,inv(e1))
| unit != op(inv(unit),unit)
| unit != op(unit,inv(unit))
| sP2
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| ~ sP3
| ~ sP4
| ~ sP5
| sP6
| sP7
| ~ sP8
| sP9
| ~ sP10
| sP11
| sP12
| sP13
| sP14
| ~ sP15
| sP16
| ~ sP17
| ~ sP18
| sP19
| sP20
| sP21
| ~ sP22 ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f298,definition,
( spl23_1
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f302,definition,
( spl23_2
<=> op(e3,e3) = unit ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f304,plain,
( op(e3,e3) = unit
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f312,definition,
( spl23_4
<=> op(e1,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f314,plain,
( op(e1,e1) = unit
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f277,f312,f298]) ).
fof(f317,definition,
( spl23_5
<=> unit = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl23_5])],[avatar_definition]) ).
fof(f319,plain,
( unit = op(unit,unit)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f322,definition,
( spl23_6
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f341,definition,
( spl23_10
<=> e1 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f343,plain,
( e1 = op(unit,unit)
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl23_6
| spl23_10 ),
inference(avatar_split_clause,[],[f219,f341,f322]) ).
fof(f346,definition,
( spl23_11
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl23_11])],[avatar_definition]) ).
fof(f365,definition,
( spl23_15
<=> e2 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl23_15])],[avatar_definition]) ).
fof(f367,plain,
( e2 = op(unit,unit)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,plain,
( ~ spl23_11
| spl23_15 ),
inference(avatar_split_clause,[],[f218,f365,f346]) ).
fof(f370,definition,
( spl23_16
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl23_16])],[avatar_definition]) ).
fof(f379,definition,
( spl23_18
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
fof(f381,plain,
( e3 = op(e2,e2)
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f384,definition,
( spl23_19
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl23_19])],[avatar_definition]) ).
fof(f386,plain,
( e3 = op(e1,e1)
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f389,definition,
( spl23_20
<=> e3 = op(unit,unit) ),
introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).
fof(f391,plain,
( e3 = op(unit,unit)
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,plain,
( ~ spl23_16
| spl23_20 ),
inference(avatar_split_clause,[],[f217,f389,f370]) ).
fof(f394,definition,
( spl23_21
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl23_21])],[avatar_definition]) ).
fof(f400,plain,
( spl23_21
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f272,f317,f394]) ).
fof(f402,definition,
( spl23_22
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl23_22])],[avatar_definition]) ).
fof(f416,definition,
( spl23_25
<=> e1 = op(unit,e1) ),
introduced(definition,[new_symbols(definition,[spl23_25])],[avatar_definition]) ).
fof(f417,plain,
( e1 = op(unit,e1)
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( spl23_22
| ~ spl23_25 ),
inference(avatar_split_clause,[],[f269,f416,f402]) ).
fof(f426,definition,
( spl23_27
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
fof(f435,definition,
( spl23_29
<=> e2 = op(unit,e2) ),
introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).
fof(f436,plain,
( e2 = op(unit,e2)
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,plain,
( ~ spl23_27
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f207,f435,f426]) ).
fof(f450,definition,
( spl23_32
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl23_32])],[avatar_definition]) ).
fof(f454,definition,
( spl23_33
<=> e3 = op(unit,e3) ),
introduced(definition,[new_symbols(definition,[spl23_33])],[avatar_definition]) ).
fof(f455,plain,
( e3 = op(unit,e3)
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,plain,
( spl23_32
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f267,f454,f450]) ).
fof(f474,definition,
( spl23_37
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl23_37])],[avatar_definition]) ).
fof(f488,definition,
( spl23_40
<=> e1 = op(e1,unit) ),
introduced(definition,[new_symbols(definition,[spl23_40])],[avatar_definition]) ).
fof(f489,plain,
( e1 = op(e1,unit)
| ~ spl23_40 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( ~ spl23_37
| ~ spl23_40 ),
inference(avatar_split_clause,[],[f198,f488,f474]) ).
fof(f498,definition,
( spl23_42
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl23_42])],[avatar_definition]) ).
fof(f501,plain,
( ~ spl23_42
| ~ spl23_19 ),
inference(avatar_split_clause,[],[f72,f384,f498]) ).
fof(f506,definition,
( spl23_43
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl23_43])],[avatar_definition]) ).
fof(f525,definition,
( spl23_47
<=> op(e1,e2) = unit ),
introduced(definition,[new_symbols(definition,[spl23_47])],[avatar_definition]) ).
fof(f526,plain,
( op(e1,e2) = unit
| ~ spl23_47 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f528,plain,
( ~ spl23_43
| ~ spl23_47 ),
inference(avatar_split_clause,[],[f195,f525,f506]) ).
fof(f530,definition,
( spl23_48
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl23_48])],[avatar_definition]) ).
fof(f539,definition,
( spl23_50
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl23_50])],[avatar_definition]) ).
fof(f540,plain,
( e2 = op(e1,e3)
| ~ spl23_50 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f542,plain,
( ~ spl23_48
| ~ spl23_50 ),
inference(avatar_split_clause,[],[f81,f539,f530]) ).
fof(f554,definition,
( spl23_53
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl23_53])],[avatar_definition]) ).
fof(f563,definition,
( spl23_55
<=> e2 = op(e2,unit) ),
introduced(definition,[new_symbols(definition,[spl23_55])],[avatar_definition]) ).
fof(f564,plain,
( e2 = op(e2,unit)
| ~ spl23_55 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( spl23_53
| ~ spl23_55 ),
inference(avatar_split_clause,[],[f262,f563,f554]) ).
fof(f578,definition,
( spl23_58
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl23_58])],[avatar_definition]) ).
fof(f597,definition,
( spl23_62
<=> op(e2,e1) = unit ),
introduced(definition,[new_symbols(definition,[spl23_62])],[avatar_definition]) ).
fof(f598,plain,
( op(e2,e1) = unit
| ~ spl23_62 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
( ~ spl23_58
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f189,f597,f578]) ).
fof(f602,definition,
( spl23_63
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl23_63])],[avatar_definition]) ).
fof(f605,plain,
( spl23_63
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f259,f379,f602]) ).
fof(f610,definition,
( spl23_64
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl23_64])],[avatar_definition]) ).
fof(f624,definition,
( spl23_67
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl23_67])],[avatar_definition]) ).
fof(f625,plain,
( e1 = op(e2,e3)
| ~ spl23_67 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f627,plain,
( ~ spl23_64
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f98,f624,f610]) ).
fof(f634,definition,
( spl23_69
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl23_69])],[avatar_definition]) ).
fof(f638,definition,
( spl23_70
<=> e3 = op(e3,unit) ),
introduced(definition,[new_symbols(definition,[spl23_70])],[avatar_definition]) ).
fof(f639,plain,
( e3 = op(e3,unit)
| ~ spl23_70 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,plain,
( ~ spl23_69
| ~ spl23_70 ),
inference(avatar_split_clause,[],[f186,f638,f634]) ).
fof(f658,definition,
( spl23_74
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl23_74])],[avatar_definition]) ).
fof(f667,definition,
( spl23_76
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl23_76])],[avatar_definition]) ).
fof(f668,plain,
( e2 = op(e3,e1)
| ~ spl23_76 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( spl23_74
| ~ spl23_76 ),
inference(avatar_split_clause,[],[f254,f667,f658]) ).
fof(f682,definition,
( spl23_79
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl23_79])],[avatar_definition]) ).
fof(f696,definition,
( spl23_82
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl23_82])],[avatar_definition]) ).
fof(f697,plain,
( e1 = op(e3,e2)
| ~ spl23_82 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( spl23_79
| ~ spl23_82 ),
inference(avatar_split_clause,[],[f249,f696,f682]) ).
fof(f706,definition,
( spl23_84
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl23_84])],[avatar_definition]) ).
fof(f712,plain,
( spl23_84
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f244,f302,f706]) ).
fof(f714,definition,
( spl23_85
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl23_85])],[avatar_definition]) ).
fof(f718,definition,
( spl23_86
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl23_86])],[avatar_definition]) ).
fof(f720,plain,
( e3 != unit
| spl23_86 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f723,definition,
( spl23_87
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl23_87])],[avatar_definition]) ).
fof(f725,plain,
( e2 != unit
| spl23_87 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f728,definition,
( spl23_88
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl23_88])],[avatar_definition]) ).
fof(f730,plain,
( e1 != unit
| spl23_88 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,plain,
~ spl23_85,
inference(avatar_split_clause,[],[f280,f714]) ).
fof(f734,definition,
( spl23_89
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl23_89])],[avatar_definition]) ).
fof(f753,definition,
( spl23_93
<=> unit = inv(unit) ),
introduced(definition,[new_symbols(definition,[spl23_93])],[avatar_definition]) ).
fof(f754,plain,
( unit = inv(unit)
| ~ spl23_93 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,plain,
( ~ spl23_89
| ~ spl23_93 ),
inference(avatar_split_clause,[],[f175,f753,f734]) ).
fof(f758,definition,
( spl23_94
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl23_94])],[avatar_definition]) ).
fof(f767,definition,
( spl23_96
<=> e2 = inv(e1) ),
introduced(definition,[new_symbols(definition,[spl23_96])],[avatar_definition]) ).
fof(f768,plain,
( e2 = inv(e1)
| ~ spl23_96 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f770,plain,
( spl23_94
| ~ spl23_96 ),
inference(avatar_split_clause,[],[f242,f767,f758]) ).
fof(f782,definition,
( spl23_99
<=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_99])],[avatar_definition]) ).
fof(f784,plain,
( op(op(unit,unit),unit) != op(unit,op(unit,unit))
| spl23_99 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f786,definition,
( spl23_100
<=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_100])],[avatar_definition]) ).
fof(f788,plain,
( op(op(unit,unit),e1) != op(unit,op(unit,e1))
| spl23_100 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f790,definition,
( spl23_101
<=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_101])],[avatar_definition]) ).
fof(f792,plain,
( op(op(unit,unit),e2) != op(unit,op(unit,e2))
| spl23_101 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f794,definition,
( spl23_102
<=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_102])],[avatar_definition]) ).
fof(f796,plain,
( op(op(unit,unit),e3) != op(unit,op(unit,e3))
| spl23_102 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f798,definition,
( spl23_103
<=> op(op(unit,e1),unit) = op(unit,op(e1,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_103])],[avatar_definition]) ).
fof(f800,plain,
( op(op(unit,e1),unit) != op(unit,op(e1,unit))
| spl23_103 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl23_104
<=> op(op(unit,e1),e1) = op(unit,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_104])],[avatar_definition]) ).
fof(f804,plain,
( op(op(unit,e1),e1) != op(unit,op(e1,e1))
| spl23_104 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f806,definition,
( spl23_105
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_105])],[avatar_definition]) ).
fof(f808,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl23_105 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f810,definition,
( spl23_106
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_106])],[avatar_definition]) ).
fof(f812,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl23_106 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f814,definition,
( spl23_107
<=> op(op(unit,e2),unit) = op(unit,op(e2,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_107])],[avatar_definition]) ).
fof(f816,plain,
( op(op(unit,e2),unit) != op(unit,op(e2,unit))
| spl23_107 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f818,definition,
( spl23_108
<=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_108])],[avatar_definition]) ).
fof(f820,plain,
( op(op(unit,e2),e1) != op(unit,op(e2,e1))
| spl23_108 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f822,definition,
( spl23_109
<=> op(op(unit,e2),e2) = op(unit,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_109])],[avatar_definition]) ).
fof(f824,plain,
( op(op(unit,e2),e2) != op(unit,op(e2,e2))
| spl23_109 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl23_110
<=> op(op(unit,e2),e3) = op(unit,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_110])],[avatar_definition]) ).
fof(f828,plain,
( op(op(unit,e2),e3) != op(unit,op(e2,e3))
| spl23_110 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl23_111
<=> op(op(unit,e3),unit) = op(unit,op(e3,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_111])],[avatar_definition]) ).
fof(f832,plain,
( op(op(unit,e3),unit) != op(unit,op(e3,unit))
| spl23_111 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl23_112
<=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_112])],[avatar_definition]) ).
fof(f836,plain,
( op(op(unit,e3),e1) != op(unit,op(e3,e1))
| spl23_112 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f838,definition,
( spl23_113
<=> op(op(unit,e3),e2) = op(unit,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_113])],[avatar_definition]) ).
fof(f840,plain,
( op(op(unit,e3),e2) != op(unit,op(e3,e2))
| spl23_113 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f842,definition,
( spl23_114
<=> op(op(unit,e3),e3) = op(unit,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_114])],[avatar_definition]) ).
fof(f844,plain,
( op(op(unit,e3),e3) != op(unit,op(e3,e3))
| spl23_114 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f846,definition,
( spl23_115
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_115])],[avatar_definition]) ).
fof(f848,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl23_115 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f850,definition,
( spl23_116
<=> op(op(e1,unit),e1) = op(e1,op(unit,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_116])],[avatar_definition]) ).
fof(f852,plain,
( op(op(e1,unit),e1) != op(e1,op(unit,e1))
| spl23_116 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f854,definition,
( spl23_117
<=> op(op(e1,unit),e2) = op(e1,op(unit,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_117])],[avatar_definition]) ).
fof(f856,plain,
( op(op(e1,unit),e2) != op(e1,op(unit,e2))
| spl23_117 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f858,definition,
( spl23_118
<=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_118])],[avatar_definition]) ).
fof(f860,plain,
( op(op(e1,unit),e3) != op(e1,op(unit,e3))
| spl23_118 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f862,definition,
( spl23_119
<=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_119])],[avatar_definition]) ).
fof(f864,plain,
( op(op(e1,e1),unit) != op(e1,op(e1,unit))
| spl23_119 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f866,definition,
( spl23_120
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_120])],[avatar_definition]) ).
fof(f868,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl23_120 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f870,definition,
( spl23_121
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_121])],[avatar_definition]) ).
fof(f872,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl23_121 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f874,definition,
( spl23_122
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_122])],[avatar_definition]) ).
fof(f876,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl23_122 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f878,definition,
( spl23_123
<=> op(op(e1,e2),unit) = op(e1,op(e2,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_123])],[avatar_definition]) ).
fof(f880,plain,
( op(op(e1,e2),unit) != op(e1,op(e2,unit))
| spl23_123 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f882,definition,
( spl23_124
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_124])],[avatar_definition]) ).
fof(f884,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl23_124 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f886,definition,
( spl23_125
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_125])],[avatar_definition]) ).
fof(f888,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl23_125 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f890,definition,
( spl23_126
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_126])],[avatar_definition]) ).
fof(f892,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl23_126 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f894,definition,
( spl23_127
<=> op(op(e1,e3),unit) = op(e1,op(e3,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_127])],[avatar_definition]) ).
fof(f896,plain,
( op(op(e1,e3),unit) != op(e1,op(e3,unit))
| spl23_127 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f898,definition,
( spl23_128
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_128])],[avatar_definition]) ).
fof(f900,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl23_128 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,definition,
( spl23_129
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_129])],[avatar_definition]) ).
fof(f904,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl23_129 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f906,definition,
( spl23_130
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_130])],[avatar_definition]) ).
fof(f908,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl23_130 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f910,definition,
( spl23_131
<=> op(op(e2,unit),unit) = op(e2,op(unit,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_131])],[avatar_definition]) ).
fof(f912,plain,
( op(op(e2,unit),unit) != op(e2,op(unit,unit))
| spl23_131 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f914,definition,
( spl23_132
<=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_132])],[avatar_definition]) ).
fof(f916,plain,
( op(op(e2,unit),e1) != op(e2,op(unit,e1))
| spl23_132 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f918,definition,
( spl23_133
<=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_133])],[avatar_definition]) ).
fof(f920,plain,
( op(op(e2,unit),e2) != op(e2,op(unit,e2))
| spl23_133 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f922,definition,
( spl23_134
<=> op(op(e2,unit),e3) = op(e2,op(unit,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_134])],[avatar_definition]) ).
fof(f924,plain,
( op(op(e2,unit),e3) != op(e2,op(unit,e3))
| spl23_134 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f926,definition,
( spl23_135
<=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_135])],[avatar_definition]) ).
fof(f928,plain,
( op(op(e2,e1),unit) != op(e2,op(e1,unit))
| spl23_135 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f930,definition,
( spl23_136
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_136])],[avatar_definition]) ).
fof(f932,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl23_136 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f934,definition,
( spl23_137
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_137])],[avatar_definition]) ).
fof(f936,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl23_137 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f938,definition,
( spl23_138
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_138])],[avatar_definition]) ).
fof(f940,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl23_138 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f942,definition,
( spl23_139
<=> op(op(e2,e2),unit) = op(e2,op(e2,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_139])],[avatar_definition]) ).
fof(f944,plain,
( op(op(e2,e2),unit) != op(e2,op(e2,unit))
| spl23_139 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f946,definition,
( spl23_140
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_140])],[avatar_definition]) ).
fof(f948,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl23_140 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f950,definition,
( spl23_141
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_141])],[avatar_definition]) ).
fof(f952,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl23_141 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f954,definition,
( spl23_142
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_142])],[avatar_definition]) ).
fof(f956,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl23_142 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f958,definition,
( spl23_143
<=> op(op(e2,e3),unit) = op(e2,op(e3,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_143])],[avatar_definition]) ).
fof(f960,plain,
( op(op(e2,e3),unit) != op(e2,op(e3,unit))
| spl23_143 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl23_144
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_144])],[avatar_definition]) ).
fof(f964,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl23_144 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl23_145
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_145])],[avatar_definition]) ).
fof(f968,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl23_145 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl23_146
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_146])],[avatar_definition]) ).
fof(f972,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl23_146 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl23_147
<=> op(op(e3,unit),unit) = op(e3,op(unit,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_147])],[avatar_definition]) ).
fof(f976,plain,
( op(op(e3,unit),unit) != op(e3,op(unit,unit))
| spl23_147 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f978,definition,
( spl23_148
<=> op(op(e3,unit),e1) = op(e3,op(unit,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_148])],[avatar_definition]) ).
fof(f980,plain,
( op(op(e3,unit),e1) != op(e3,op(unit,e1))
| spl23_148 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f982,definition,
( spl23_149
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_149])],[avatar_definition]) ).
fof(f984,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl23_149 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f986,definition,
( spl23_150
<=> op(op(e3,unit),e3) = op(e3,op(unit,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_150])],[avatar_definition]) ).
fof(f988,plain,
( op(op(e3,unit),e3) != op(e3,op(unit,e3))
| spl23_150 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f990,definition,
( spl23_151
<=> op(op(e3,e1),unit) = op(e3,op(e1,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_151])],[avatar_definition]) ).
fof(f992,plain,
( op(op(e3,e1),unit) != op(e3,op(e1,unit))
| spl23_151 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f994,definition,
( spl23_152
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_152])],[avatar_definition]) ).
fof(f996,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl23_152 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f998,definition,
( spl23_153
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_153])],[avatar_definition]) ).
fof(f1000,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl23_153 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1002,definition,
( spl23_154
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_154])],[avatar_definition]) ).
fof(f1004,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl23_154 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1006,definition,
( spl23_155
<=> op(op(e3,e2),unit) = op(e3,op(e2,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_155])],[avatar_definition]) ).
fof(f1008,plain,
( op(op(e3,e2),unit) != op(e3,op(e2,unit))
| spl23_155 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1010,definition,
( spl23_156
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_156])],[avatar_definition]) ).
fof(f1012,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl23_156 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1014,definition,
( spl23_157
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_157])],[avatar_definition]) ).
fof(f1016,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl23_157 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1018,definition,
( spl23_158
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_158])],[avatar_definition]) ).
fof(f1020,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl23_158 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1022,definition,
( spl23_159
<=> op(op(e3,e3),unit) = op(e3,op(e3,unit)) ),
introduced(definition,[new_symbols(definition,[spl23_159])],[avatar_definition]) ).
fof(f1024,plain,
( op(op(e3,e3),unit) != op(e3,op(e3,unit))
| spl23_159 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1026,definition,
( spl23_160
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl23_160])],[avatar_definition]) ).
fof(f1028,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl23_160 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1030,definition,
( spl23_161
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl23_161])],[avatar_definition]) ).
fof(f1032,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl23_161 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1034,definition,
( spl23_162
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl23_162])],[avatar_definition]) ).
fof(f1036,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl23_162 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1038,definition,
( spl23_163
<=> unit = op(unit,inv(unit)) ),
introduced(definition,[new_symbols(definition,[spl23_163])],[avatar_definition]) ).
fof(f1040,plain,
( unit != op(unit,inv(unit))
| spl23_163 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1042,definition,
( spl23_164
<=> unit = op(inv(unit),unit) ),
introduced(definition,[new_symbols(definition,[spl23_164])],[avatar_definition]) ).
fof(f1044,plain,
( unit != op(inv(unit),unit)
| spl23_164 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl23_165
<=> unit = op(e1,inv(e1)) ),
introduced(definition,[new_symbols(definition,[spl23_165])],[avatar_definition]) ).
fof(f1048,plain,
( unit != op(e1,inv(e1))
| spl23_165 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1050,definition,
( spl23_166
<=> unit = op(inv(e1),e1) ),
introduced(definition,[new_symbols(definition,[spl23_166])],[avatar_definition]) ).
fof(f1052,plain,
( unit != op(inv(e1),e1)
| spl23_166 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1054,definition,
( spl23_167
<=> unit = op(e2,inv(e2)) ),
introduced(definition,[new_symbols(definition,[spl23_167])],[avatar_definition]) ).
fof(f1056,plain,
( unit != op(e2,inv(e2))
| spl23_167 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl23_168
<=> unit = op(inv(e2),e2) ),
introduced(definition,[new_symbols(definition,[spl23_168])],[avatar_definition]) ).
fof(f1060,plain,
( unit != op(inv(e2),e2)
| spl23_168 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1062,definition,
( spl23_169
<=> unit = op(e3,inv(e3)) ),
introduced(definition,[new_symbols(definition,[spl23_169])],[avatar_definition]) ).
fof(f1064,plain,
( unit != op(e3,inv(e3))
| spl23_169 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1066,definition,
( spl23_170
<=> unit = op(inv(e3),e3) ),
introduced(definition,[new_symbols(definition,[spl23_170])],[avatar_definition]) ).
fof(f1068,plain,
( unit != op(inv(e3),e3)
| spl23_170 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1084,definition,
( spl23_174
<=> e1 = inv(e2) ),
introduced(definition,[new_symbols(definition,[spl23_174])],[avatar_definition]) ).
fof(f1085,plain,
( e1 = inv(e2)
| ~ spl23_174 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1110,definition,
( spl23_178
<=> e3 = inv(e3) ),
introduced(definition,[new_symbols(definition,[spl23_178])],[avatar_definition]) ).
fof(f1111,plain,
( e3 = inv(e3)
| ~ spl23_178 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1115,plain,
( ~ spl23_1
| spl23_6
| spl23_11
| spl23_16
| ~ spl23_21
| ~ spl23_22
| spl23_27
| ~ spl23_32
| spl23_37
| spl23_42
| spl23_43
| spl23_48
| ~ spl23_53
| spl23_58
| ~ spl23_63
| spl23_64
| spl23_69
| ~ spl23_74
| ~ spl23_79
| ~ spl23_84
| ~ spl23_99
| ~ spl23_100
| ~ spl23_101
| ~ spl23_102
| ~ spl23_103
| ~ spl23_104
| ~ spl23_105
| ~ spl23_106
| ~ spl23_107
| ~ spl23_108
| ~ spl23_109
| ~ spl23_110
| ~ spl23_111
| ~ spl23_112
| ~ spl23_113
| ~ spl23_114
| ~ spl23_115
| ~ spl23_116
| ~ spl23_117
| ~ spl23_118
| ~ spl23_119
| ~ spl23_120
| ~ spl23_121
| ~ spl23_122
| ~ spl23_123
| ~ spl23_124
| ~ spl23_125
| ~ spl23_126
| ~ spl23_127
| ~ spl23_128
| ~ spl23_129
| ~ spl23_130
| ~ spl23_131
| ~ spl23_132
| ~ spl23_133
| ~ spl23_134
| ~ spl23_135
| ~ spl23_136
| ~ spl23_137
| ~ spl23_138
| ~ spl23_139
| ~ spl23_140
| ~ spl23_141
| ~ spl23_142
| ~ spl23_143
| ~ spl23_144
| ~ spl23_145
| ~ spl23_146
| ~ spl23_147
| ~ spl23_148
| ~ spl23_149
| ~ spl23_150
| ~ spl23_151
| ~ spl23_152
| ~ spl23_153
| ~ spl23_154
| ~ spl23_155
| ~ spl23_156
| ~ spl23_157
| ~ spl23_158
| ~ spl23_159
| ~ spl23_160
| ~ spl23_161
| ~ spl23_162
| ~ spl23_5
| ~ spl23_25
| ~ spl23_40
| ~ spl23_29
| ~ spl23_55
| ~ spl23_33
| ~ spl23_70
| spl23_85
| ~ spl23_163
| ~ spl23_164
| ~ spl23_165
| ~ spl23_166
| ~ spl23_167
| ~ spl23_168
| ~ spl23_169
| ~ spl23_170
| spl23_89
| ~ spl23_94
| ~ spl23_174
| ~ spl23_178 ),
inference(avatar_split_clause,[],[f295,f1110,f1084,f758,f734,f1066,f1062,f1058,f1054,f1050,f1046,f1042,f1038,f714,f638,f454,f563,f435,f488,f416,f317,f1034,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938,f934,f930,f926,f922,f918,f914,f910,f906,f902,f898,f894,f890,f886,f882,f878,f874,f870,f866,f862,f858,f854,f850,f846,f842,f838,f834,f830,f826,f822,f818,f814,f810,f806,f802,f798,f794,f790,f786,f782,f706,f682,f658,f634,f610,f602,f578,f554,f530,f506,f498,f474,f450,f426,f402,f394,f370,f346,f322,f298]) ).
fof(f1117,plain,
spl23_178,
inference(avatar_split_clause,[],[f32,f1110]) ).
fof(f1118,plain,
spl23_174,
inference(avatar_split_clause,[],[f33,f1084]) ).
fof(f1119,plain,
spl23_96,
inference(avatar_split_clause,[],[f34,f767]) ).
fof(f1120,plain,
spl23_93,
inference(avatar_split_clause,[],[f157,f753]) ).
fof(f1121,plain,
spl23_2,
inference(avatar_split_clause,[],[f156,f302]) ).
fof(f1122,plain,
spl23_82,
inference(avatar_split_clause,[],[f16,f696]) ).
fof(f1123,plain,
spl23_76,
inference(avatar_split_clause,[],[f17,f667]) ).
fof(f1124,plain,
spl23_70,
inference(avatar_split_clause,[],[f155,f638]) ).
fof(f1125,plain,
spl23_67,
inference(avatar_split_clause,[],[f19,f624]) ).
fof(f1126,plain,
spl23_18,
inference(avatar_split_clause,[],[f20,f379]) ).
fof(f1127,plain,
spl23_62,
inference(avatar_split_clause,[],[f154,f597]) ).
fof(f1128,plain,
spl23_55,
inference(avatar_split_clause,[],[f153,f563]) ).
fof(f1129,plain,
spl23_50,
inference(avatar_split_clause,[],[f23,f539]) ).
fof(f1130,plain,
spl23_47,
inference(avatar_split_clause,[],[f152,f525]) ).
fof(f1131,plain,
spl23_19,
inference(avatar_split_clause,[],[f25,f384]) ).
fof(f1132,plain,
spl23_40,
inference(avatar_split_clause,[],[f151,f488]) ).
fof(f1133,plain,
spl23_33,
inference(avatar_split_clause,[],[f150,f454]) ).
fof(f1134,plain,
spl23_29,
inference(avatar_split_clause,[],[f149,f435]) ).
fof(f1135,plain,
spl23_25,
inference(avatar_split_clause,[],[f148,f416]) ).
fof(f1136,plain,
spl23_5,
inference(avatar_split_clause,[],[f147,f317]) ).
fof(f1137,plain,
~ spl23_86,
inference(avatar_split_clause,[],[f146,f718]) ).
fof(f1138,plain,
~ spl23_87,
inference(avatar_split_clause,[],[f145,f723]) ).
fof(f1139,plain,
~ spl23_88,
inference(avatar_split_clause,[],[f144,f728]) ).
fof(f1143,plain,
( op(unit,unit) != op(unit,unit)
| ~ spl23_5
| spl23_99 ),
inference(forward_demodulation,[],[f784,f319]) ).
fof(f1144,plain,
( $false
| ~ spl23_5
| spl23_99 ),
inference(trivial_inequality_removal,[],[f1143]) ).
fof(f1145,plain,
( ~ spl23_5
| spl23_99 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1146,plain,
( op(unit,e1) != op(unit,op(unit,e1))
| ~ spl23_5
| spl23_100 ),
inference(forward_demodulation,[],[f788,f319]) ).
fof(f1148,plain,
( e3 = unit
| ~ spl23_4
| ~ spl23_19 ),
inference(forward_demodulation,[],[f386,f314]) ).
fof(f1149,plain,
( $false
| ~ spl23_4
| ~ spl23_19
| spl23_86 ),
inference(forward_subsumption_resolution,[],[f1148,f720]) ).
fof(f1150,plain,
( ~ spl23_4
| ~ spl23_19
| spl23_86 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1152,plain,
( e1 != op(unit,e1)
| ~ spl23_5
| ~ spl23_25
| spl23_100 ),
inference(forward_demodulation,[],[f1146,f417]) ).
fof(f1153,plain,
( $false
| ~ spl23_5
| ~ spl23_25
| spl23_100 ),
inference(forward_subsumption_resolution,[],[f1152,f417]) ).
fof(f1154,plain,
( ~ spl23_5
| ~ spl23_25
| spl23_100 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1156,plain,
( op(unit,e2) != op(op(unit,unit),e2)
| ~ spl23_29
| spl23_101 ),
inference(forward_demodulation,[],[f792,f436]) ).
fof(f1157,plain,
( op(unit,e2) != op(unit,e2)
| ~ spl23_5
| ~ spl23_29
| spl23_101 ),
inference(forward_demodulation,[],[f1156,f319]) ).
fof(f1158,plain,
( $false
| ~ spl23_5
| ~ spl23_29
| spl23_101 ),
inference(trivial_inequality_removal,[],[f1157]) ).
fof(f1159,plain,
( ~ spl23_5
| ~ spl23_29
| spl23_101 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1161,plain,
( op(unit,e3) != op(op(unit,unit),e3)
| ~ spl23_33
| spl23_102 ),
inference(forward_demodulation,[],[f796,f455]) ).
fof(f1162,plain,
( op(unit,e3) != op(unit,e3)
| ~ spl23_5
| ~ spl23_33
| spl23_102 ),
inference(forward_demodulation,[],[f1161,f319]) ).
fof(f1163,plain,
( $false
| ~ spl23_5
| ~ spl23_33
| spl23_102 ),
inference(trivial_inequality_removal,[],[f1162]) ).
fof(f1164,plain,
( ~ spl23_5
| ~ spl23_33
| spl23_102 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1166,plain,
( op(unit,e1) != op(op(unit,e1),unit)
| ~ spl23_40
| spl23_103 ),
inference(forward_demodulation,[],[f800,f489]) ).
fof(f1167,plain,
( e1 != op(e1,unit)
| ~ spl23_25
| ~ spl23_40
| spl23_103 ),
inference(forward_demodulation,[],[f1166,f417]) ).
fof(f1168,plain,
( $false
| ~ spl23_25
| ~ spl23_40
| spl23_103 ),
inference(forward_subsumption_resolution,[],[f1167,f489]) ).
fof(f1169,plain,
( ~ spl23_25
| ~ spl23_40
| spl23_103 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1171,plain,
( op(unit,e3) != op(op(unit,e1),e1)
| ~ spl23_19
| spl23_104 ),
inference(forward_demodulation,[],[f804,f386]) ).
fof(f1173,plain,
( op(e1,e1) != op(unit,e3)
| ~ spl23_19
| ~ spl23_25
| spl23_104 ),
inference(forward_demodulation,[],[f1171,f417]) ).
fof(f1174,plain,
( e3 != op(e1,e1)
| ~ spl23_19
| ~ spl23_25
| ~ spl23_33
| spl23_104 ),
inference(forward_demodulation,[],[f1173,f455]) ).
fof(f1175,plain,
( $false
| ~ spl23_19
| ~ spl23_25
| ~ spl23_33
| spl23_104 ),
inference(forward_subsumption_resolution,[],[f1174,f386]) ).
fof(f1176,plain,
( ~ spl23_19
| ~ spl23_25
| ~ spl23_33
| spl23_104 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1178,plain,
( op(unit,unit) != op(op(unit,e1),e2)
| ~ spl23_47
| spl23_105 ),
inference(forward_demodulation,[],[f808,f526]) ).
fof(f1180,plain,
( op(e1,e2) != op(unit,unit)
| ~ spl23_25
| ~ spl23_47
| spl23_105 ),
inference(forward_demodulation,[],[f1178,f417]) ).
fof(f1182,plain,
( op(e1,e2) != unit
| ~ spl23_5
| ~ spl23_25
| ~ spl23_47
| spl23_105 ),
inference(forward_demodulation,[],[f1180,f319]) ).
fof(f1183,plain,
( $false
| ~ spl23_5
| ~ spl23_25
| ~ spl23_47
| spl23_105 ),
inference(forward_subsumption_resolution,[],[f1182,f526]) ).
fof(f1184,plain,
( ~ spl23_5
| ~ spl23_25
| ~ spl23_47
| spl23_105 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1186,plain,
( op(unit,e2) != op(op(unit,e1),e3)
| ~ spl23_50
| spl23_106 ),
inference(forward_demodulation,[],[f812,f540]) ).
fof(f1188,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl23_25
| ~ spl23_50
| spl23_106 ),
inference(forward_demodulation,[],[f1186,f417]) ).
fof(f1190,plain,
( e2 != op(e1,e3)
| ~ spl23_25
| ~ spl23_29
| ~ spl23_50
| spl23_106 ),
inference(forward_demodulation,[],[f1188,f436]) ).
fof(f1191,plain,
( $false
| ~ spl23_25
| ~ spl23_29
| ~ spl23_50
| spl23_106 ),
inference(forward_subsumption_resolution,[],[f1190,f540]) ).
fof(f1192,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_50
| spl23_106 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1194,plain,
( op(unit,e2) != op(op(unit,e2),unit)
| ~ spl23_55
| spl23_107 ),
inference(forward_demodulation,[],[f816,f564]) ).
fof(f1196,plain,
( e2 != op(e2,unit)
| ~ spl23_29
| ~ spl23_55
| spl23_107 ),
inference(forward_demodulation,[],[f1194,f436]) ).
fof(f1198,plain,
( $false
| ~ spl23_29
| ~ spl23_55
| spl23_107 ),
inference(forward_subsumption_resolution,[],[f1196,f564]) ).
fof(f1199,plain,
( ~ spl23_29
| ~ spl23_55
| spl23_107 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1201,plain,
( op(unit,unit) != op(op(unit,e2),e1)
| ~ spl23_62
| spl23_108 ),
inference(forward_demodulation,[],[f820,f598]) ).
fof(f1203,plain,
( op(e2,e1) != op(unit,unit)
| ~ spl23_29
| ~ spl23_62
| spl23_108 ),
inference(forward_demodulation,[],[f1201,f436]) ).
fof(f1204,plain,
( op(e2,e1) != unit
| ~ spl23_5
| ~ spl23_29
| ~ spl23_62
| spl23_108 ),
inference(forward_demodulation,[],[f1203,f319]) ).
fof(f1205,plain,
( $false
| ~ spl23_5
| ~ spl23_29
| ~ spl23_62
| spl23_108 ),
inference(forward_subsumption_resolution,[],[f1204,f598]) ).
fof(f1206,plain,
( ~ spl23_5
| ~ spl23_29
| ~ spl23_62
| spl23_108 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1208,plain,
( op(unit,e3) != op(op(unit,e2),e2)
| ~ spl23_18
| spl23_109 ),
inference(forward_demodulation,[],[f824,f381]) ).
fof(f1210,plain,
( op(e2,e2) != op(unit,e3)
| ~ spl23_18
| ~ spl23_29
| spl23_109 ),
inference(forward_demodulation,[],[f1208,f436]) ).
fof(f1212,plain,
( e3 != op(e2,e2)
| ~ spl23_18
| ~ spl23_29
| ~ spl23_33
| spl23_109 ),
inference(forward_demodulation,[],[f1210,f455]) ).
fof(f1213,plain,
( $false
| ~ spl23_18
| ~ spl23_29
| ~ spl23_33
| spl23_109 ),
inference(forward_subsumption_resolution,[],[f1212,f381]) ).
fof(f1214,plain,
( ~ spl23_18
| ~ spl23_29
| ~ spl23_33
| spl23_109 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1216,plain,
( op(unit,e1) != op(op(unit,e2),e3)
| ~ spl23_67
| spl23_110 ),
inference(forward_demodulation,[],[f828,f625]) ).
fof(f1218,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl23_29
| ~ spl23_67
| spl23_110 ),
inference(forward_demodulation,[],[f1216,f436]) ).
fof(f1220,plain,
( e1 != op(e2,e3)
| ~ spl23_25
| ~ spl23_29
| ~ spl23_67
| spl23_110 ),
inference(forward_demodulation,[],[f1218,f417]) ).
fof(f1221,plain,
( $false
| ~ spl23_25
| ~ spl23_29
| ~ spl23_67
| spl23_110 ),
inference(forward_subsumption_resolution,[],[f1220,f625]) ).
fof(f1222,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_67
| spl23_110 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1224,plain,
( op(unit,e3) != op(op(unit,e3),unit)
| ~ spl23_70
| spl23_111 ),
inference(forward_demodulation,[],[f832,f639]) ).
fof(f1226,plain,
( e3 != op(e3,unit)
| ~ spl23_33
| ~ spl23_70
| spl23_111 ),
inference(forward_demodulation,[],[f1224,f455]) ).
fof(f1228,plain,
( $false
| ~ spl23_33
| ~ spl23_70
| spl23_111 ),
inference(forward_subsumption_resolution,[],[f1226,f639]) ).
fof(f1229,plain,
( ~ spl23_33
| ~ spl23_70
| spl23_111 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1231,plain,
( op(unit,e2) != op(op(unit,e3),e1)
| ~ spl23_76
| spl23_112 ),
inference(forward_demodulation,[],[f836,f668]) ).
fof(f1233,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl23_33
| ~ spl23_76
| spl23_112 ),
inference(forward_demodulation,[],[f1231,f455]) ).
fof(f1234,plain,
( e2 != op(e3,e1)
| ~ spl23_29
| ~ spl23_33
| ~ spl23_76
| spl23_112 ),
inference(forward_demodulation,[],[f1233,f436]) ).
fof(f1235,plain,
( $false
| ~ spl23_29
| ~ spl23_33
| ~ spl23_76
| spl23_112 ),
inference(forward_subsumption_resolution,[],[f1234,f668]) ).
fof(f1236,plain,
( ~ spl23_29
| ~ spl23_33
| ~ spl23_76
| spl23_112 ),
inference(avatar_contradiction_clause,[],[f1235]) ).
fof(f1238,plain,
( op(unit,e1) != op(op(unit,e3),e2)
| ~ spl23_82
| spl23_113 ),
inference(forward_demodulation,[],[f840,f697]) ).
fof(f1240,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl23_33
| ~ spl23_82
| spl23_113 ),
inference(forward_demodulation,[],[f1238,f455]) ).
fof(f1242,plain,
( e1 != op(e3,e2)
| ~ spl23_25
| ~ spl23_33
| ~ spl23_82
| spl23_113 ),
inference(forward_demodulation,[],[f1240,f417]) ).
fof(f1243,plain,
( $false
| ~ spl23_25
| ~ spl23_33
| ~ spl23_82
| spl23_113 ),
inference(forward_subsumption_resolution,[],[f1242,f697]) ).
fof(f1244,plain,
( ~ spl23_25
| ~ spl23_33
| ~ spl23_82
| spl23_113 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1246,plain,
( op(unit,unit) != op(op(unit,e3),e3)
| ~ spl23_2
| spl23_114 ),
inference(forward_demodulation,[],[f844,f304]) ).
fof(f1248,plain,
( op(e3,e3) != op(unit,unit)
| ~ spl23_2
| ~ spl23_33
| spl23_114 ),
inference(forward_demodulation,[],[f1246,f455]) ).
fof(f1250,plain,
( op(e3,e3) != unit
| ~ spl23_2
| ~ spl23_5
| ~ spl23_33
| spl23_114 ),
inference(forward_demodulation,[],[f1248,f319]) ).
fof(f1251,plain,
( $false
| ~ spl23_2
| ~ spl23_5
| ~ spl23_33
| spl23_114 ),
inference(forward_subsumption_resolution,[],[f1250,f304]) ).
fof(f1252,plain,
( ~ spl23_2
| ~ spl23_5
| ~ spl23_33
| spl23_114 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1254,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| ~ spl23_5
| spl23_115 ),
inference(forward_demodulation,[],[f848,f319]) ).
fof(f1256,plain,
( e1 != op(e1,unit)
| ~ spl23_5
| ~ spl23_40
| spl23_115 ),
inference(forward_demodulation,[],[f1254,f489]) ).
fof(f1258,plain,
( $false
| ~ spl23_5
| ~ spl23_40
| spl23_115 ),
inference(forward_subsumption_resolution,[],[f1256,f489]) ).
fof(f1259,plain,
( ~ spl23_5
| ~ spl23_40
| spl23_115 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1261,plain,
( op(e1,e1) != op(op(e1,unit),e1)
| ~ spl23_25
| spl23_116 ),
inference(forward_demodulation,[],[f852,f417]) ).
fof(f1263,plain,
( op(e1,e1) != op(e1,e1)
| ~ spl23_25
| ~ spl23_40
| spl23_116 ),
inference(forward_demodulation,[],[f1261,f489]) ).
fof(f1264,plain,
( $false
| ~ spl23_25
| ~ spl23_40
| spl23_116 ),
inference(trivial_inequality_removal,[],[f1263]) ).
fof(f1265,plain,
( ~ spl23_25
| ~ spl23_40
| spl23_116 ),
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f1267,plain,
( op(e1,e2) != op(op(e1,unit),e2)
| ~ spl23_29
| spl23_117 ),
inference(forward_demodulation,[],[f856,f436]) ).
fof(f1268,plain,
( op(e1,e2) != op(e1,e2)
| ~ spl23_29
| ~ spl23_40
| spl23_117 ),
inference(forward_demodulation,[],[f1267,f489]) ).
fof(f1269,plain,
( $false
| ~ spl23_29
| ~ spl23_40
| spl23_117 ),
inference(trivial_inequality_removal,[],[f1268]) ).
fof(f1270,plain,
( ~ spl23_29
| ~ spl23_40
| spl23_117 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1272,plain,
( op(e1,e3) != op(op(e1,unit),e3)
| ~ spl23_33
| spl23_118 ),
inference(forward_demodulation,[],[f860,f455]) ).
fof(f1273,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl23_33
| ~ spl23_40
| spl23_118 ),
inference(forward_demodulation,[],[f1272,f489]) ).
fof(f1274,plain,
( $false
| ~ spl23_33
| ~ spl23_40
| spl23_118 ),
inference(trivial_inequality_removal,[],[f1273]) ).
fof(f1275,plain,
( ~ spl23_33
| ~ spl23_40
| spl23_118 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1277,plain,
( op(e1,e1) != op(op(e1,e1),unit)
| ~ spl23_40
| spl23_119 ),
inference(forward_demodulation,[],[f864,f489]) ).
fof(f1278,plain,
( e3 != op(e3,unit)
| ~ spl23_19
| ~ spl23_40
| spl23_119 ),
inference(forward_demodulation,[],[f1277,f386]) ).
fof(f1279,plain,
( $false
| ~ spl23_19
| ~ spl23_40
| ~ spl23_70
| spl23_119 ),
inference(forward_subsumption_resolution,[],[f1278,f639]) ).
fof(f1280,plain,
( ~ spl23_19
| ~ spl23_40
| ~ spl23_70
| spl23_119 ),
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1282,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl23_19
| spl23_120 ),
inference(forward_demodulation,[],[f868,f386]) ).
fof(f1284,plain,
( e2 != op(e1,e3)
| ~ spl23_19
| ~ spl23_76
| spl23_120 ),
inference(forward_demodulation,[],[f1282,f668]) ).
fof(f1285,plain,
( $false
| ~ spl23_19
| ~ spl23_50
| ~ spl23_76
| spl23_120 ),
inference(forward_subsumption_resolution,[],[f1284,f540]) ).
fof(f1286,plain,
( ~ spl23_19
| ~ spl23_50
| ~ spl23_76
| spl23_120 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1288,plain,
( op(op(e1,e1),e2) != op(e1,unit)
| ~ spl23_47
| spl23_121 ),
inference(forward_demodulation,[],[f872,f526]) ).
fof(f1290,plain,
( e1 != op(op(e1,e1),e2)
| ~ spl23_40
| ~ spl23_47
| spl23_121 ),
inference(forward_demodulation,[],[f1288,f489]) ).
fof(f1291,plain,
( e1 != op(e3,e2)
| ~ spl23_19
| ~ spl23_40
| ~ spl23_47
| spl23_121 ),
inference(forward_demodulation,[],[f1290,f386]) ).
fof(f1292,plain,
( $false
| ~ spl23_19
| ~ spl23_40
| ~ spl23_47
| ~ spl23_82
| spl23_121 ),
inference(forward_subsumption_resolution,[],[f1291,f697]) ).
fof(f1293,plain,
( ~ spl23_19
| ~ spl23_40
| ~ spl23_47
| ~ spl23_82
| spl23_121 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1295,plain,
( op(e1,e2) != op(op(e1,e1),e3)
| ~ spl23_50
| spl23_122 ),
inference(forward_demodulation,[],[f876,f540]) ).
fof(f1297,plain,
( op(e1,e2) != op(e3,e3)
| ~ spl23_19
| ~ spl23_50
| spl23_122 ),
inference(forward_demodulation,[],[f1295,f386]) ).
fof(f1299,plain,
( op(e1,e2) != unit
| ~ spl23_2
| ~ spl23_19
| ~ spl23_50
| spl23_122 ),
inference(forward_demodulation,[],[f1297,f304]) ).
fof(f1300,plain,
( $false
| ~ spl23_2
| ~ spl23_19
| ~ spl23_47
| ~ spl23_50
| spl23_122 ),
inference(forward_subsumption_resolution,[],[f1299,f526]) ).
fof(f1301,plain,
( ~ spl23_2
| ~ spl23_19
| ~ spl23_47
| ~ spl23_50
| spl23_122 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1303,plain,
( op(e1,e2) != op(op(e1,e2),unit)
| ~ spl23_55
| spl23_123 ),
inference(forward_demodulation,[],[f880,f564]) ).
fof(f1305,plain,
( unit != op(unit,unit)
| ~ spl23_47
| ~ spl23_55
| spl23_123 ),
inference(forward_demodulation,[],[f1303,f526]) ).
fof(f1307,plain,
( $false
| ~ spl23_5
| ~ spl23_47
| ~ spl23_55
| spl23_123 ),
inference(forward_subsumption_resolution,[],[f1305,f319]) ).
fof(f1308,plain,
( ~ spl23_5
| ~ spl23_47
| ~ spl23_55
| spl23_123 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1310,plain,
( op(op(e1,e2),e1) != op(e1,unit)
| ~ spl23_62
| spl23_124 ),
inference(forward_demodulation,[],[f884,f598]) ).
fof(f1312,plain,
( e1 != op(op(e1,e2),e1)
| ~ spl23_40
| ~ spl23_62
| spl23_124 ),
inference(forward_demodulation,[],[f1310,f489]) ).
fof(f1313,plain,
( e1 != op(unit,e1)
| ~ spl23_40
| ~ spl23_47
| ~ spl23_62
| spl23_124 ),
inference(forward_demodulation,[],[f1312,f526]) ).
fof(f1314,plain,
( $false
| ~ spl23_25
| ~ spl23_40
| ~ spl23_47
| ~ spl23_62
| spl23_124 ),
inference(forward_subsumption_resolution,[],[f1313,f417]) ).
fof(f1315,plain,
( ~ spl23_25
| ~ spl23_40
| ~ spl23_47
| ~ spl23_62
| spl23_124 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1317,plain,
( op(e1,e3) != op(op(e1,e2),e2)
| ~ spl23_18
| spl23_125 ),
inference(forward_demodulation,[],[f888,f381]) ).
fof(f1319,plain,
( op(e1,e3) != op(unit,e2)
| ~ spl23_18
| ~ spl23_47
| spl23_125 ),
inference(forward_demodulation,[],[f1317,f526]) ).
fof(f1321,plain,
( e2 != op(e1,e3)
| ~ spl23_18
| ~ spl23_29
| ~ spl23_47
| spl23_125 ),
inference(forward_demodulation,[],[f1319,f436]) ).
fof(f1322,plain,
( $false
| ~ spl23_18
| ~ spl23_29
| ~ spl23_47
| ~ spl23_50
| spl23_125 ),
inference(forward_subsumption_resolution,[],[f1321,f540]) ).
fof(f1323,plain,
( ~ spl23_18
| ~ spl23_29
| ~ spl23_47
| ~ spl23_50
| spl23_125 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1325,plain,
( op(e1,e1) != op(op(e1,e2),e3)
| ~ spl23_67
| spl23_126 ),
inference(forward_demodulation,[],[f892,f625]) ).
fof(f1327,plain,
( op(e1,e1) != op(unit,e3)
| ~ spl23_47
| ~ spl23_67
| spl23_126 ),
inference(forward_demodulation,[],[f1325,f526]) ).
fof(f1329,plain,
( e3 != op(e1,e1)
| ~ spl23_33
| ~ spl23_47
| ~ spl23_67
| spl23_126 ),
inference(forward_demodulation,[],[f1327,f455]) ).
fof(f1330,plain,
( $false
| ~ spl23_19
| ~ spl23_33
| ~ spl23_47
| ~ spl23_67
| spl23_126 ),
inference(forward_subsumption_resolution,[],[f1329,f386]) ).
fof(f1331,plain,
( ~ spl23_19
| ~ spl23_33
| ~ spl23_47
| ~ spl23_67
| spl23_126 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1333,plain,
( op(e1,e3) != op(op(e1,e3),unit)
| ~ spl23_70
| spl23_127 ),
inference(forward_demodulation,[],[f896,f639]) ).
fof(f1335,plain,
( e2 != op(e2,unit)
| ~ spl23_50
| ~ spl23_70
| spl23_127 ),
inference(forward_demodulation,[],[f1333,f540]) ).
fof(f1337,plain,
( $false
| ~ spl23_50
| ~ spl23_55
| ~ spl23_70
| spl23_127 ),
inference(forward_subsumption_resolution,[],[f1335,f564]) ).
fof(f1338,plain,
( ~ spl23_50
| ~ spl23_55
| ~ spl23_70
| spl23_127 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1340,plain,
( op(e1,e2) != op(op(e1,e3),e1)
| ~ spl23_76
| spl23_128 ),
inference(forward_demodulation,[],[f900,f668]) ).
fof(f1342,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl23_50
| ~ spl23_76
| spl23_128 ),
inference(forward_demodulation,[],[f1340,f540]) ).
fof(f1343,plain,
( op(e1,e2) != unit
| ~ spl23_50
| ~ spl23_62
| ~ spl23_76
| spl23_128 ),
inference(forward_demodulation,[],[f1342,f598]) ).
fof(f1344,plain,
( $false
| ~ spl23_47
| ~ spl23_50
| ~ spl23_62
| ~ spl23_76
| spl23_128 ),
inference(forward_subsumption_resolution,[],[f1343,f526]) ).
fof(f1345,plain,
( ~ spl23_47
| ~ spl23_50
| ~ spl23_62
| ~ spl23_76
| spl23_128 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1347,plain,
( op(e1,e1) != op(op(e1,e3),e2)
| ~ spl23_82
| spl23_129 ),
inference(forward_demodulation,[],[f904,f697]) ).
fof(f1349,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl23_50
| ~ spl23_82
| spl23_129 ),
inference(forward_demodulation,[],[f1347,f540]) ).
fof(f1351,plain,
( e3 != op(e1,e1)
| ~ spl23_18
| ~ spl23_50
| ~ spl23_82
| spl23_129 ),
inference(forward_demodulation,[],[f1349,f381]) ).
fof(f1352,plain,
( $false
| ~ spl23_18
| ~ spl23_19
| ~ spl23_50
| ~ spl23_82
| spl23_129 ),
inference(forward_subsumption_resolution,[],[f1351,f386]) ).
fof(f1353,plain,
( ~ spl23_18
| ~ spl23_19
| ~ spl23_50
| ~ spl23_82
| spl23_129 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1355,plain,
( op(op(e1,e3),e3) != op(e1,unit)
| ~ spl23_2
| spl23_130 ),
inference(forward_demodulation,[],[f908,f304]) ).
fof(f1357,plain,
( e1 != op(op(e1,e3),e3)
| ~ spl23_2
| ~ spl23_40
| spl23_130 ),
inference(forward_demodulation,[],[f1355,f489]) ).
fof(f1359,plain,
( e1 != op(e2,e3)
| ~ spl23_2
| ~ spl23_40
| ~ spl23_50
| spl23_130 ),
inference(forward_demodulation,[],[f1357,f540]) ).
fof(f1360,plain,
( $false
| ~ spl23_2
| ~ spl23_40
| ~ spl23_50
| ~ spl23_67
| spl23_130 ),
inference(forward_subsumption_resolution,[],[f1359,f625]) ).
fof(f1361,plain,
( ~ spl23_2
| ~ spl23_40
| ~ spl23_50
| ~ spl23_67
| spl23_130 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1363,plain,
( op(e2,unit) != op(op(e2,unit),unit)
| ~ spl23_5
| spl23_131 ),
inference(forward_demodulation,[],[f912,f319]) ).
fof(f1365,plain,
( e2 != op(e2,unit)
| ~ spl23_5
| ~ spl23_55
| spl23_131 ),
inference(forward_demodulation,[],[f1363,f564]) ).
fof(f1367,plain,
( $false
| ~ spl23_5
| ~ spl23_55
| spl23_131 ),
inference(forward_subsumption_resolution,[],[f1365,f564]) ).
fof(f1368,plain,
( ~ spl23_5
| ~ spl23_55
| spl23_131 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1370,plain,
( op(e2,e1) != op(op(e2,unit),e1)
| ~ spl23_25
| spl23_132 ),
inference(forward_demodulation,[],[f916,f417]) ).
fof(f1372,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl23_25
| ~ spl23_55
| spl23_132 ),
inference(forward_demodulation,[],[f1370,f564]) ).
fof(f1373,plain,
( $false
| ~ spl23_25
| ~ spl23_55
| spl23_132 ),
inference(trivial_inequality_removal,[],[f1372]) ).
fof(f1374,plain,
( ~ spl23_25
| ~ spl23_55
| spl23_132 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1376,plain,
( op(e2,e2) != op(op(e2,unit),e2)
| ~ spl23_29
| spl23_133 ),
inference(forward_demodulation,[],[f920,f436]) ).
fof(f1377,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl23_29
| ~ spl23_55
| spl23_133 ),
inference(forward_demodulation,[],[f1376,f564]) ).
fof(f1378,plain,
( $false
| ~ spl23_29
| ~ spl23_55
| spl23_133 ),
inference(trivial_inequality_removal,[],[f1377]) ).
fof(f1379,plain,
( ~ spl23_29
| ~ spl23_55
| spl23_133 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1381,plain,
( op(e2,e3) != op(op(e2,unit),e3)
| ~ spl23_33
| spl23_134 ),
inference(forward_demodulation,[],[f924,f455]) ).
fof(f1382,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl23_33
| ~ spl23_55
| spl23_134 ),
inference(forward_demodulation,[],[f1381,f564]) ).
fof(f1383,plain,
( $false
| ~ spl23_33
| ~ spl23_55
| spl23_134 ),
inference(trivial_inequality_removal,[],[f1382]) ).
fof(f1384,plain,
( ~ spl23_33
| ~ spl23_55
| spl23_134 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1386,plain,
( op(e2,e1) != op(op(e2,e1),unit)
| ~ spl23_40
| spl23_135 ),
inference(forward_demodulation,[],[f928,f489]) ).
fof(f1387,plain,
( unit != op(unit,unit)
| ~ spl23_40
| ~ spl23_62
| spl23_135 ),
inference(forward_demodulation,[],[f1386,f598]) ).
fof(f1388,plain,
( $false
| ~ spl23_5
| ~ spl23_40
| ~ spl23_62
| spl23_135 ),
inference(forward_subsumption_resolution,[],[f1387,f319]) ).
fof(f1389,plain,
( ~ spl23_5
| ~ spl23_40
| ~ spl23_62
| spl23_135 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1391,plain,
( op(e2,e3) != op(op(e2,e1),e1)
| ~ spl23_19
| spl23_136 ),
inference(forward_demodulation,[],[f932,f386]) ).
fof(f1393,plain,
( op(e2,e3) != op(unit,e1)
| ~ spl23_19
| ~ spl23_62
| spl23_136 ),
inference(forward_demodulation,[],[f1391,f598]) ).
fof(f1394,plain,
( e1 != op(e2,e3)
| ~ spl23_19
| ~ spl23_25
| ~ spl23_62
| spl23_136 ),
inference(forward_demodulation,[],[f1393,f417]) ).
fof(f1395,plain,
( $false
| ~ spl23_19
| ~ spl23_25
| ~ spl23_62
| ~ spl23_67
| spl23_136 ),
inference(forward_subsumption_resolution,[],[f1394,f625]) ).
fof(f1396,plain,
( ~ spl23_19
| ~ spl23_25
| ~ spl23_62
| ~ spl23_67
| spl23_136 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1398,plain,
( op(op(e2,e1),e2) != op(e2,unit)
| ~ spl23_47
| spl23_137 ),
inference(forward_demodulation,[],[f936,f526]) ).
fof(f1400,plain,
( e2 != op(op(e2,e1),e2)
| ~ spl23_47
| ~ spl23_55
| spl23_137 ),
inference(forward_demodulation,[],[f1398,f564]) ).
fof(f1402,plain,
( e2 != op(unit,e2)
| ~ spl23_47
| ~ spl23_55
| ~ spl23_62
| spl23_137 ),
inference(forward_demodulation,[],[f1400,f598]) ).
fof(f1403,plain,
( $false
| ~ spl23_29
| ~ spl23_47
| ~ spl23_55
| ~ spl23_62
| spl23_137 ),
inference(forward_subsumption_resolution,[],[f1402,f436]) ).
fof(f1404,plain,
( ~ spl23_29
| ~ spl23_47
| ~ spl23_55
| ~ spl23_62
| spl23_137 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1406,plain,
( op(e2,e2) != op(op(e2,e1),e3)
| ~ spl23_50
| spl23_138 ),
inference(forward_demodulation,[],[f940,f540]) ).
fof(f1408,plain,
( op(e2,e2) != op(unit,e3)
| ~ spl23_50
| ~ spl23_62
| spl23_138 ),
inference(forward_demodulation,[],[f1406,f598]) ).
fof(f1410,plain,
( e3 != op(e2,e2)
| ~ spl23_33
| ~ spl23_50
| ~ spl23_62
| spl23_138 ),
inference(forward_demodulation,[],[f1408,f455]) ).
fof(f1411,plain,
( $false
| ~ spl23_18
| ~ spl23_33
| ~ spl23_50
| ~ spl23_62
| spl23_138 ),
inference(forward_subsumption_resolution,[],[f1410,f381]) ).
fof(f1412,plain,
( ~ spl23_18
| ~ spl23_33
| ~ spl23_50
| ~ spl23_62
| spl23_138 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1414,plain,
( op(e2,e2) != op(op(e2,e2),unit)
| ~ spl23_55
| spl23_139 ),
inference(forward_demodulation,[],[f944,f564]) ).
fof(f1416,plain,
( e3 != op(e3,unit)
| ~ spl23_18
| ~ spl23_55
| spl23_139 ),
inference(forward_demodulation,[],[f1414,f381]) ).
fof(f1418,plain,
( $false
| ~ spl23_18
| ~ spl23_55
| ~ spl23_70
| spl23_139 ),
inference(forward_subsumption_resolution,[],[f1416,f639]) ).
fof(f1419,plain,
( ~ spl23_18
| ~ spl23_55
| ~ spl23_70
| spl23_139 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1421,plain,
( op(op(e2,e2),e1) != op(e2,unit)
| ~ spl23_62
| spl23_140 ),
inference(forward_demodulation,[],[f948,f598]) ).
fof(f1423,plain,
( e2 != op(op(e2,e2),e1)
| ~ spl23_55
| ~ spl23_62
| spl23_140 ),
inference(forward_demodulation,[],[f1421,f564]) ).
fof(f1424,plain,
( e2 != op(e3,e1)
| ~ spl23_18
| ~ spl23_55
| ~ spl23_62
| spl23_140 ),
inference(forward_demodulation,[],[f1423,f381]) ).
fof(f1425,plain,
( $false
| ~ spl23_18
| ~ spl23_55
| ~ spl23_62
| ~ spl23_76
| spl23_140 ),
inference(forward_subsumption_resolution,[],[f1424,f668]) ).
fof(f1426,plain,
( ~ spl23_18
| ~ spl23_55
| ~ spl23_62
| ~ spl23_76
| spl23_140 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1428,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl23_18
| spl23_141 ),
inference(forward_demodulation,[],[f952,f381]) ).
fof(f1430,plain,
( e1 != op(e2,e3)
| ~ spl23_18
| ~ spl23_82
| spl23_141 ),
inference(forward_demodulation,[],[f1428,f697]) ).
fof(f1432,plain,
( $false
| ~ spl23_18
| ~ spl23_67
| ~ spl23_82
| spl23_141 ),
inference(forward_subsumption_resolution,[],[f1430,f625]) ).
fof(f1433,plain,
( ~ spl23_18
| ~ spl23_67
| ~ spl23_82
| spl23_141 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1435,plain,
( op(e2,e1) != op(op(e2,e2),e3)
| ~ spl23_67
| spl23_142 ),
inference(forward_demodulation,[],[f956,f625]) ).
fof(f1437,plain,
( op(e2,e1) != op(e3,e3)
| ~ spl23_18
| ~ spl23_67
| spl23_142 ),
inference(forward_demodulation,[],[f1435,f381]) ).
fof(f1438,plain,
( op(e2,e1) != unit
| ~ spl23_2
| ~ spl23_18
| ~ spl23_67
| spl23_142 ),
inference(forward_demodulation,[],[f1437,f304]) ).
fof(f1439,plain,
( $false
| ~ spl23_2
| ~ spl23_18
| ~ spl23_62
| ~ spl23_67
| spl23_142 ),
inference(forward_subsumption_resolution,[],[f1438,f598]) ).
fof(f1440,plain,
( ~ spl23_2
| ~ spl23_18
| ~ spl23_62
| ~ spl23_67
| spl23_142 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1442,plain,
( op(e2,e3) != op(op(e2,e3),unit)
| ~ spl23_70
| spl23_143 ),
inference(forward_demodulation,[],[f960,f639]) ).
fof(f1444,plain,
( e1 != op(e1,unit)
| ~ spl23_67
| ~ spl23_70
| spl23_143 ),
inference(forward_demodulation,[],[f1442,f625]) ).
fof(f1446,plain,
( $false
| ~ spl23_40
| ~ spl23_67
| ~ spl23_70
| spl23_143 ),
inference(forward_subsumption_resolution,[],[f1444,f489]) ).
fof(f1447,plain,
( ~ spl23_40
| ~ spl23_67
| ~ spl23_70
| spl23_143 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1449,plain,
( op(e2,e2) != op(op(e2,e3),e1)
| ~ spl23_76
| spl23_144 ),
inference(forward_demodulation,[],[f964,f668]) ).
fof(f1451,plain,
( op(e1,e1) != op(e2,e2)
| ~ spl23_67
| ~ spl23_76
| spl23_144 ),
inference(forward_demodulation,[],[f1449,f625]) ).
fof(f1452,plain,
( e3 != op(e1,e1)
| ~ spl23_18
| ~ spl23_67
| ~ spl23_76
| spl23_144 ),
inference(forward_demodulation,[],[f1451,f381]) ).
fof(f1453,plain,
( $false
| ~ spl23_18
| ~ spl23_19
| ~ spl23_67
| ~ spl23_76
| spl23_144 ),
inference(forward_subsumption_resolution,[],[f1452,f386]) ).
fof(f1454,plain,
( ~ spl23_18
| ~ spl23_19
| ~ spl23_67
| ~ spl23_76
| spl23_144 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1456,plain,
( op(e2,e1) != op(op(e2,e3),e2)
| ~ spl23_82
| spl23_145 ),
inference(forward_demodulation,[],[f968,f697]) ).
fof(f1458,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl23_67
| ~ spl23_82
| spl23_145 ),
inference(forward_demodulation,[],[f1456,f625]) ).
fof(f1460,plain,
( op(e1,e2) != unit
| ~ spl23_62
| ~ spl23_67
| ~ spl23_82
| spl23_145 ),
inference(forward_demodulation,[],[f1458,f598]) ).
fof(f1461,plain,
( $false
| ~ spl23_47
| ~ spl23_62
| ~ spl23_67
| ~ spl23_82
| spl23_145 ),
inference(forward_subsumption_resolution,[],[f1460,f526]) ).
fof(f1462,plain,
( ~ spl23_47
| ~ spl23_62
| ~ spl23_67
| ~ spl23_82
| spl23_145 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1464,plain,
( op(op(e2,e3),e3) != op(e2,unit)
| ~ spl23_2
| spl23_146 ),
inference(forward_demodulation,[],[f972,f304]) ).
fof(f1466,plain,
( e2 != op(op(e2,e3),e3)
| ~ spl23_2
| ~ spl23_55
| spl23_146 ),
inference(forward_demodulation,[],[f1464,f564]) ).
fof(f1468,plain,
( e2 != op(e1,e3)
| ~ spl23_2
| ~ spl23_55
| ~ spl23_67
| spl23_146 ),
inference(forward_demodulation,[],[f1466,f625]) ).
fof(f1469,plain,
( $false
| ~ spl23_2
| ~ spl23_50
| ~ spl23_55
| ~ spl23_67
| spl23_146 ),
inference(forward_subsumption_resolution,[],[f1468,f540]) ).
fof(f1470,plain,
( ~ spl23_2
| ~ spl23_50
| ~ spl23_55
| ~ spl23_67
| spl23_146 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1472,plain,
( op(e3,unit) != op(op(e3,unit),unit)
| ~ spl23_5
| spl23_147 ),
inference(forward_demodulation,[],[f976,f319]) ).
fof(f1474,plain,
( e3 != op(e3,unit)
| ~ spl23_5
| ~ spl23_70
| spl23_147 ),
inference(forward_demodulation,[],[f1472,f639]) ).
fof(f1476,plain,
( $false
| ~ spl23_5
| ~ spl23_70
| spl23_147 ),
inference(forward_subsumption_resolution,[],[f1474,f639]) ).
fof(f1477,plain,
( ~ spl23_5
| ~ spl23_70
| spl23_147 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1479,plain,
( op(e3,e1) != op(op(e3,unit),e1)
| ~ spl23_25
| spl23_148 ),
inference(forward_demodulation,[],[f980,f417]) ).
fof(f1481,plain,
( op(e3,e1) != op(e3,e1)
| ~ spl23_25
| ~ spl23_70
| spl23_148 ),
inference(forward_demodulation,[],[f1479,f639]) ).
fof(f1482,plain,
( $false
| ~ spl23_25
| ~ spl23_70
| spl23_148 ),
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1483,plain,
( ~ spl23_25
| ~ spl23_70
| spl23_148 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1485,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| ~ spl23_29
| spl23_149 ),
inference(forward_demodulation,[],[f984,f436]) ).
fof(f1486,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl23_29
| ~ spl23_70
| spl23_149 ),
inference(forward_demodulation,[],[f1485,f639]) ).
fof(f1487,plain,
( $false
| ~ spl23_29
| ~ spl23_70
| spl23_149 ),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1488,plain,
( ~ spl23_29
| ~ spl23_70
| spl23_149 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1490,plain,
( op(e3,e3) != op(op(e3,unit),e3)
| ~ spl23_33
| spl23_150 ),
inference(forward_demodulation,[],[f988,f455]) ).
fof(f1491,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl23_33
| ~ spl23_70
| spl23_150 ),
inference(forward_demodulation,[],[f1490,f639]) ).
fof(f1492,plain,
( $false
| ~ spl23_33
| ~ spl23_70
| spl23_150 ),
inference(trivial_inequality_removal,[],[f1491]) ).
fof(f1493,plain,
( ~ spl23_33
| ~ spl23_70
| spl23_150 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1495,plain,
( op(e3,e1) != op(op(e3,e1),unit)
| ~ spl23_40
| spl23_151 ),
inference(forward_demodulation,[],[f992,f489]) ).
fof(f1496,plain,
( e2 != op(e2,unit)
| ~ spl23_40
| ~ spl23_76
| spl23_151 ),
inference(forward_demodulation,[],[f1495,f668]) ).
fof(f1497,plain,
( $false
| ~ spl23_40
| ~ spl23_55
| ~ spl23_76
| spl23_151 ),
inference(forward_subsumption_resolution,[],[f1496,f564]) ).
fof(f1498,plain,
( ~ spl23_40
| ~ spl23_55
| ~ spl23_76
| spl23_151 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1500,plain,
( op(e3,e3) != op(op(e3,e1),e1)
| ~ spl23_19
| spl23_152 ),
inference(forward_demodulation,[],[f996,f386]) ).
fof(f1502,plain,
( op(e2,e1) != op(e3,e3)
| ~ spl23_19
| ~ spl23_76
| spl23_152 ),
inference(forward_demodulation,[],[f1500,f668]) ).
fof(f1503,plain,
( op(e2,e1) != unit
| ~ spl23_2
| ~ spl23_19
| ~ spl23_76
| spl23_152 ),
inference(forward_demodulation,[],[f1502,f304]) ).
fof(f1504,plain,
( $false
| ~ spl23_2
| ~ spl23_19
| ~ spl23_62
| ~ spl23_76
| spl23_152 ),
inference(forward_subsumption_resolution,[],[f1503,f598]) ).
fof(f1505,plain,
( ~ spl23_2
| ~ spl23_19
| ~ spl23_62
| ~ spl23_76
| spl23_152 ),
inference(avatar_contradiction_clause,[],[f1504]) ).
fof(f1507,plain,
( op(op(e3,e1),e2) != op(e3,unit)
| ~ spl23_47
| spl23_153 ),
inference(forward_demodulation,[],[f1000,f526]) ).
fof(f1509,plain,
( e3 != op(op(e3,e1),e2)
| ~ spl23_47
| ~ spl23_70
| spl23_153 ),
inference(forward_demodulation,[],[f1507,f639]) ).
fof(f1511,plain,
( e3 != op(e2,e2)
| ~ spl23_47
| ~ spl23_70
| ~ spl23_76
| spl23_153 ),
inference(forward_demodulation,[],[f1509,f668]) ).
fof(f1512,plain,
( $false
| ~ spl23_18
| ~ spl23_47
| ~ spl23_70
| ~ spl23_76
| spl23_153 ),
inference(forward_subsumption_resolution,[],[f1511,f381]) ).
fof(f1513,plain,
( ~ spl23_18
| ~ spl23_47
| ~ spl23_70
| ~ spl23_76
| spl23_153 ),
inference(avatar_contradiction_clause,[],[f1512]) ).
fof(f1515,plain,
( op(e3,e2) != op(op(e3,e1),e3)
| ~ spl23_50
| spl23_154 ),
inference(forward_demodulation,[],[f1004,f540]) ).
fof(f1517,plain,
( op(e2,e3) != op(e3,e2)
| ~ spl23_50
| ~ spl23_76
| spl23_154 ),
inference(forward_demodulation,[],[f1515,f668]) ).
fof(f1519,plain,
( e1 != op(e2,e3)
| ~ spl23_50
| ~ spl23_76
| ~ spl23_82
| spl23_154 ),
inference(forward_demodulation,[],[f1517,f697]) ).
fof(f1520,plain,
( $false
| ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_154 ),
inference(forward_subsumption_resolution,[],[f1519,f625]) ).
fof(f1521,plain,
( ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_154 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1523,plain,
( op(e3,e2) != op(op(e3,e2),unit)
| ~ spl23_55
| spl23_155 ),
inference(forward_demodulation,[],[f1008,f564]) ).
fof(f1525,plain,
( e1 != op(e1,unit)
| ~ spl23_55
| ~ spl23_82
| spl23_155 ),
inference(forward_demodulation,[],[f1523,f697]) ).
fof(f1527,plain,
( $false
| ~ spl23_40
| ~ spl23_55
| ~ spl23_82
| spl23_155 ),
inference(forward_subsumption_resolution,[],[f1525,f489]) ).
fof(f1528,plain,
( ~ spl23_40
| ~ spl23_55
| ~ spl23_82
| spl23_155 ),
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1530,plain,
( op(op(e3,e2),e1) != op(e3,unit)
| ~ spl23_62
| spl23_156 ),
inference(forward_demodulation,[],[f1012,f598]) ).
fof(f1532,plain,
( e3 != op(op(e3,e2),e1)
| ~ spl23_62
| ~ spl23_70
| spl23_156 ),
inference(forward_demodulation,[],[f1530,f639]) ).
fof(f1533,plain,
( e3 != op(e1,e1)
| ~ spl23_62
| ~ spl23_70
| ~ spl23_82
| spl23_156 ),
inference(forward_demodulation,[],[f1532,f697]) ).
fof(f1534,plain,
( $false
| ~ spl23_19
| ~ spl23_62
| ~ spl23_70
| ~ spl23_82
| spl23_156 ),
inference(forward_subsumption_resolution,[],[f1533,f386]) ).
fof(f1535,plain,
( ~ spl23_19
| ~ spl23_62
| ~ spl23_70
| ~ spl23_82
| spl23_156 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1537,plain,
( op(e3,e3) != op(op(e3,e2),e2)
| ~ spl23_18
| spl23_157 ),
inference(forward_demodulation,[],[f1016,f381]) ).
fof(f1539,plain,
( op(e1,e2) != op(e3,e3)
| ~ spl23_18
| ~ spl23_82
| spl23_157 ),
inference(forward_demodulation,[],[f1537,f697]) ).
fof(f1541,plain,
( op(e1,e2) != unit
| ~ spl23_2
| ~ spl23_18
| ~ spl23_82
| spl23_157 ),
inference(forward_demodulation,[],[f1539,f304]) ).
fof(f1542,plain,
( $false
| ~ spl23_2
| ~ spl23_18
| ~ spl23_47
| ~ spl23_82
| spl23_157 ),
inference(forward_subsumption_resolution,[],[f1541,f526]) ).
fof(f1543,plain,
( ~ spl23_2
| ~ spl23_18
| ~ spl23_47
| ~ spl23_82
| spl23_157 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1545,plain,
( op(e3,e1) != op(op(e3,e2),e3)
| ~ spl23_67
| spl23_158 ),
inference(forward_demodulation,[],[f1020,f625]) ).
fof(f1547,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl23_67
| ~ spl23_82
| spl23_158 ),
inference(forward_demodulation,[],[f1545,f697]) ).
fof(f1549,plain,
( e2 != op(e1,e3)
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_158 ),
inference(forward_demodulation,[],[f1547,f668]) ).
fof(f1550,plain,
( $false
| ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_158 ),
inference(forward_subsumption_resolution,[],[f1549,f540]) ).
fof(f1551,plain,
( ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_158 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1553,plain,
( op(e3,e3) != op(op(e3,e3),unit)
| ~ spl23_70
| spl23_159 ),
inference(forward_demodulation,[],[f1024,f639]) ).
fof(f1555,plain,
( unit != op(unit,unit)
| ~ spl23_2
| ~ spl23_70
| spl23_159 ),
inference(forward_demodulation,[],[f1553,f304]) ).
fof(f1557,plain,
( $false
| ~ spl23_2
| ~ spl23_5
| ~ spl23_70
| spl23_159 ),
inference(forward_subsumption_resolution,[],[f1555,f319]) ).
fof(f1558,plain,
( ~ spl23_2
| ~ spl23_5
| ~ spl23_70
| spl23_159 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1560,plain,
( op(e3,e2) != op(op(e3,e3),e1)
| ~ spl23_76
| spl23_160 ),
inference(forward_demodulation,[],[f1028,f668]) ).
fof(f1562,plain,
( op(e3,e2) != op(unit,e1)
| ~ spl23_2
| ~ spl23_76
| spl23_160 ),
inference(forward_demodulation,[],[f1560,f304]) ).
fof(f1563,plain,
( e1 != op(e3,e2)
| ~ spl23_2
| ~ spl23_25
| ~ spl23_76
| spl23_160 ),
inference(forward_demodulation,[],[f1562,f417]) ).
fof(f1564,plain,
( $false
| ~ spl23_2
| ~ spl23_25
| ~ spl23_76
| ~ spl23_82
| spl23_160 ),
inference(forward_subsumption_resolution,[],[f1563,f697]) ).
fof(f1565,plain,
( ~ spl23_2
| ~ spl23_25
| ~ spl23_76
| ~ spl23_82
| spl23_160 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1567,plain,
( op(e3,e1) != op(op(e3,e3),e2)
| ~ spl23_82
| spl23_161 ),
inference(forward_demodulation,[],[f1032,f697]) ).
fof(f1569,plain,
( op(e3,e1) != op(unit,e2)
| ~ spl23_2
| ~ spl23_82
| spl23_161 ),
inference(forward_demodulation,[],[f1567,f304]) ).
fof(f1571,plain,
( e2 != op(e3,e1)
| ~ spl23_2
| ~ spl23_29
| ~ spl23_82
| spl23_161 ),
inference(forward_demodulation,[],[f1569,f436]) ).
fof(f1572,plain,
( $false
| ~ spl23_2
| ~ spl23_29
| ~ spl23_76
| ~ spl23_82
| spl23_161 ),
inference(forward_subsumption_resolution,[],[f1571,f668]) ).
fof(f1573,plain,
( ~ spl23_2
| ~ spl23_29
| ~ spl23_76
| ~ spl23_82
| spl23_161 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1575,plain,
( op(unit,e3) != op(e3,unit)
| ~ spl23_2
| spl23_162 ),
inference(forward_demodulation,[],[f1036,f304]) ).
fof(f1577,plain,
( e3 != op(unit,e3)
| ~ spl23_2
| ~ spl23_70
| spl23_162 ),
inference(forward_demodulation,[],[f1575,f639]) ).
fof(f1579,plain,
( $false
| ~ spl23_2
| ~ spl23_33
| ~ spl23_70
| spl23_162 ),
inference(forward_subsumption_resolution,[],[f1577,f455]) ).
fof(f1580,plain,
( ~ spl23_2
| ~ spl23_33
| ~ spl23_70
| spl23_162 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1582,plain,
( unit != op(unit,unit)
| ~ spl23_93
| spl23_163 ),
inference(forward_demodulation,[],[f1040,f754]) ).
fof(f1584,plain,
( $false
| ~ spl23_5
| ~ spl23_93
| spl23_163 ),
inference(forward_subsumption_resolution,[],[f1582,f319]) ).
fof(f1585,plain,
( ~ spl23_5
| ~ spl23_93
| spl23_163 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1587,plain,
( unit != op(unit,unit)
| ~ spl23_93
| spl23_164 ),
inference(forward_demodulation,[],[f1044,f754]) ).
fof(f1588,plain,
( $false
| ~ spl23_5
| ~ spl23_93
| spl23_164 ),
inference(forward_subsumption_resolution,[],[f1587,f319]) ).
fof(f1589,plain,
( ~ spl23_5
| ~ spl23_93
| spl23_164 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1591,plain,
( op(e1,e2) != unit
| ~ spl23_96
| spl23_165 ),
inference(forward_demodulation,[],[f1048,f768]) ).
fof(f1592,plain,
( $false
| ~ spl23_47
| ~ spl23_96
| spl23_165 ),
inference(forward_subsumption_resolution,[],[f1591,f526]) ).
fof(f1593,plain,
( ~ spl23_47
| ~ spl23_96
| spl23_165 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1595,plain,
( op(e2,e1) != unit
| ~ spl23_96
| spl23_166 ),
inference(forward_demodulation,[],[f1052,f768]) ).
fof(f1596,plain,
( $false
| ~ spl23_62
| ~ spl23_96
| spl23_166 ),
inference(forward_subsumption_resolution,[],[f1595,f598]) ).
fof(f1597,plain,
( ~ spl23_62
| ~ spl23_96
| spl23_166 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1599,plain,
( op(e2,e1) != unit
| spl23_167
| ~ spl23_174 ),
inference(forward_demodulation,[],[f1056,f1085]) ).
fof(f1600,plain,
( $false
| ~ spl23_62
| spl23_167
| ~ spl23_174 ),
inference(forward_subsumption_resolution,[],[f1599,f598]) ).
fof(f1601,plain,
( ~ spl23_62
| spl23_167
| ~ spl23_174 ),
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1603,plain,
( op(e1,e2) != unit
| spl23_168
| ~ spl23_174 ),
inference(forward_demodulation,[],[f1060,f1085]) ).
fof(f1604,plain,
( $false
| ~ spl23_47
| spl23_168
| ~ spl23_174 ),
inference(forward_subsumption_resolution,[],[f1603,f526]) ).
fof(f1605,plain,
( ~ spl23_47
| spl23_168
| ~ spl23_174 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1607,plain,
( op(e3,e3) != unit
| spl23_169
| ~ spl23_178 ),
inference(forward_demodulation,[],[f1064,f1111]) ).
fof(f1608,plain,
( $false
| ~ spl23_2
| spl23_169
| ~ spl23_178 ),
inference(forward_subsumption_resolution,[],[f1607,f304]) ).
fof(f1609,plain,
( ~ spl23_2
| spl23_169
| ~ spl23_178 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1611,plain,
( op(e3,e3) != unit
| spl23_170
| ~ spl23_178 ),
inference(forward_demodulation,[],[f1068,f1111]) ).
fof(f1612,plain,
( $false
| ~ spl23_2
| spl23_170
| ~ spl23_178 ),
inference(forward_subsumption_resolution,[],[f1611,f304]) ).
fof(f1613,plain,
( ~ spl23_2
| spl23_170
| ~ spl23_178 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1615,plain,
( e3 = unit
| ~ spl23_5
| ~ spl23_20 ),
inference(forward_demodulation,[],[f391,f319]) ).
fof(f1619,plain,
( $false
| ~ spl23_5
| ~ spl23_20
| spl23_86 ),
inference(forward_subsumption_resolution,[],[f1615,f720]) ).
fof(f1620,plain,
( ~ spl23_5
| ~ spl23_20
| spl23_86 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1624,plain,
( e1 = unit
| ~ spl23_5
| ~ spl23_10 ),
inference(forward_demodulation,[],[f343,f319]) ).
fof(f1629,plain,
( $false
| ~ spl23_5
| ~ spl23_10
| spl23_88 ),
inference(forward_subsumption_resolution,[],[f1624,f730]) ).
fof(f1630,plain,
( ~ spl23_5
| ~ spl23_10
| spl23_88 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1634,plain,
( e2 = unit
| ~ spl23_5
| ~ spl23_15 ),
inference(forward_demodulation,[],[f367,f319]) ).
fof(f1637,plain,
( $false
| ~ spl23_5
| ~ spl23_15
| spl23_87 ),
inference(forward_subsumption_resolution,[],[f1634,f725]) ).
fof(f1638,plain,
( ~ spl23_5
| ~ spl23_15
| spl23_87 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
cnf(s3,plain,
( spl23_1
| spl23_4 ),
inference(sat_conversion,[],[f315]) ).
cnf(s8,plain,
( ~ spl23_6
| spl23_10 ),
inference(sat_conversion,[],[f344]) ).
cnf(s12,plain,
( ~ spl23_11
| spl23_15 ),
inference(sat_conversion,[],[f368]) ).
cnf(s16,plain,
( ~ spl23_16
| spl23_20 ),
inference(sat_conversion,[],[f392]) ).
cnf(s20,plain,
( ~ spl23_5
| spl23_21 ),
inference(sat_conversion,[],[f400]) ).
cnf(s23,plain,
( spl23_22
| ~ spl23_25 ),
inference(sat_conversion,[],[f419]) ).
cnf(s26,plain,
( ~ spl23_27
| ~ spl23_29 ),
inference(sat_conversion,[],[f438]) ).
cnf(s29,plain,
( spl23_32
| ~ spl23_33 ),
inference(sat_conversion,[],[f457]) ).
cnf(s35,plain,
( ~ spl23_37
| ~ spl23_40 ),
inference(sat_conversion,[],[f491]) ).
cnf(s37,plain,
( ~ spl23_19
| ~ spl23_42 ),
inference(sat_conversion,[],[f501]) ).
cnf(s44,plain,
( ~ spl23_43
| ~ spl23_47 ),
inference(sat_conversion,[],[f528]) ).
cnf(s46,plain,
( ~ spl23_48
| ~ spl23_50 ),
inference(sat_conversion,[],[f542]) ).
cnf(s50,plain,
( spl23_53
| ~ spl23_55 ),
inference(sat_conversion,[],[f566]) ).
cnf(s56,plain,
( ~ spl23_58
| ~ spl23_62 ),
inference(sat_conversion,[],[f600]) ).
cnf(s57,plain,
( ~ spl23_18
| spl23_63 ),
inference(sat_conversion,[],[f605]) ).
cnf(s63,plain,
( ~ spl23_64
| ~ spl23_67 ),
inference(sat_conversion,[],[f627]) ).
cnf(s65,plain,
( ~ spl23_69
| ~ spl23_70 ),
inference(sat_conversion,[],[f641]) ).
cnf(s70,plain,
( spl23_74
| ~ spl23_76 ),
inference(sat_conversion,[],[f670]) ).
cnf(s75,plain,
( spl23_79
| ~ spl23_82 ),
inference(sat_conversion,[],[f699]) ).
cnf(s80,plain,
( ~ spl23_2
| spl23_84 ),
inference(sat_conversion,[],[f712]) ).
cnf(s84,plain,
~ spl23_85,
inference(sat_conversion,[],[f732]) ).
cnf(s88,plain,
( ~ spl23_89
| ~ spl23_93 ),
inference(sat_conversion,[],[f756]) ).
cnf(s90,plain,
( spl23_94
| ~ spl23_96 ),
inference(sat_conversion,[],[f770]) ).
cnf(s107,plain,
( ~ spl23_1
| ~ spl23_5
| spl23_6
| spl23_11
| spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_25
| spl23_27
| ~ spl23_29
| ~ spl23_32
| ~ spl23_33
| spl23_37
| ~ spl23_40
| spl23_42
| spl23_43
| spl23_48
| ~ spl23_53
| ~ spl23_55
| spl23_58
| ~ spl23_63
| spl23_64
| spl23_69
| ~ spl23_70
| ~ spl23_74
| ~ spl23_79
| ~ spl23_84
| spl23_85
| spl23_89
| ~ spl23_94
| ~ spl23_99
| ~ spl23_100
| ~ spl23_101
| ~ spl23_102
| ~ spl23_103
| ~ spl23_104
| ~ spl23_105
| ~ spl23_106
| ~ spl23_107
| ~ spl23_108
| ~ spl23_109
| ~ spl23_110
| ~ spl23_111
| ~ spl23_112
| ~ spl23_113
| ~ spl23_114
| ~ spl23_115
| ~ spl23_116
| ~ spl23_117
| ~ spl23_118
| ~ spl23_119
| ~ spl23_120
| ~ spl23_121
| ~ spl23_122
| ~ spl23_123
| ~ spl23_124
| ~ spl23_125
| ~ spl23_126
| ~ spl23_127
| ~ spl23_128
| ~ spl23_129
| ~ spl23_130
| ~ spl23_131
| ~ spl23_132
| ~ spl23_133
| ~ spl23_134
| ~ spl23_135
| ~ spl23_136
| ~ spl23_137
| ~ spl23_138
| ~ spl23_139
| ~ spl23_140
| ~ spl23_141
| ~ spl23_142
| ~ spl23_143
| ~ spl23_144
| ~ spl23_145
| ~ spl23_146
| ~ spl23_147
| ~ spl23_148
| ~ spl23_149
| ~ spl23_150
| ~ spl23_151
| ~ spl23_152
| ~ spl23_153
| ~ spl23_154
| ~ spl23_155
| ~ spl23_156
| ~ spl23_157
| ~ spl23_158
| ~ spl23_159
| ~ spl23_160
| ~ spl23_161
| ~ spl23_162
| ~ spl23_163
| ~ spl23_164
| ~ spl23_165
| ~ spl23_166
| ~ spl23_167
| ~ spl23_168
| ~ spl23_169
| ~ spl23_170
| ~ spl23_174
| ~ spl23_178 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s109,plain,
spl23_178,
inference(sat_conversion,[],[f1117]) ).
cnf(s110,plain,
spl23_174,
inference(sat_conversion,[],[f1118]) ).
cnf(s111,plain,
spl23_96,
inference(sat_conversion,[],[f1119]) ).
cnf(s112,plain,
spl23_93,
inference(sat_conversion,[],[f1120]) ).
cnf(s113,plain,
spl23_2,
inference(sat_conversion,[],[f1121]) ).
cnf(s114,plain,
spl23_82,
inference(sat_conversion,[],[f1122]) ).
cnf(s115,plain,
spl23_76,
inference(sat_conversion,[],[f1123]) ).
cnf(s116,plain,
spl23_70,
inference(sat_conversion,[],[f1124]) ).
cnf(s117,plain,
spl23_67,
inference(sat_conversion,[],[f1125]) ).
cnf(s118,plain,
spl23_18,
inference(sat_conversion,[],[f1126]) ).
cnf(s119,plain,
spl23_62,
inference(sat_conversion,[],[f1127]) ).
cnf(s120,plain,
spl23_55,
inference(sat_conversion,[],[f1128]) ).
cnf(s121,plain,
spl23_50,
inference(sat_conversion,[],[f1129]) ).
cnf(s122,plain,
spl23_47,
inference(sat_conversion,[],[f1130]) ).
cnf(s123,plain,
spl23_19,
inference(sat_conversion,[],[f1131]) ).
cnf(s124,plain,
spl23_40,
inference(sat_conversion,[],[f1132]) ).
cnf(s125,plain,
spl23_33,
inference(sat_conversion,[],[f1133]) ).
cnf(s126,plain,
spl23_29,
inference(sat_conversion,[],[f1134]) ).
cnf(s127,plain,
spl23_25,
inference(sat_conversion,[],[f1135]) ).
cnf(s128,plain,
spl23_5,
inference(sat_conversion,[],[f1136]) ).
cnf(s129,plain,
~ spl23_86,
inference(sat_conversion,[],[f1137]) ).
cnf(s130,plain,
~ spl23_87,
inference(sat_conversion,[],[f1138]) ).
cnf(s131,plain,
~ spl23_88,
inference(sat_conversion,[],[f1139]) ).
cnf(s133,plain,
( ~ spl23_5
| spl23_99 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s134,plain,
( ~ spl23_4
| ~ spl23_19
| spl23_86 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s135,plain,
( ~ spl23_5
| ~ spl23_25
| spl23_100 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s136,plain,
( ~ spl23_5
| ~ spl23_29
| spl23_101 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s137,plain,
( ~ spl23_5
| ~ spl23_33
| spl23_102 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s138,plain,
( ~ spl23_25
| ~ spl23_40
| spl23_103 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s139,plain,
( ~ spl23_19
| ~ spl23_25
| ~ spl23_33
| spl23_104 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s140,plain,
( ~ spl23_5
| ~ spl23_25
| ~ spl23_47
| spl23_105 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s141,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_50
| spl23_106 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s142,plain,
( ~ spl23_29
| ~ spl23_55
| spl23_107 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s143,plain,
( ~ spl23_5
| ~ spl23_29
| ~ spl23_62
| spl23_108 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s144,plain,
( ~ spl23_18
| ~ spl23_29
| ~ spl23_33
| spl23_109 ),
inference(sat_conversion,[],[f1214]) ).
cnf(s145,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_67
| spl23_110 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s146,plain,
( ~ spl23_33
| ~ spl23_70
| spl23_111 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s147,plain,
( ~ spl23_29
| ~ spl23_33
| ~ spl23_76
| spl23_112 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s148,plain,
( ~ spl23_25
| ~ spl23_33
| ~ spl23_82
| spl23_113 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s149,plain,
( ~ spl23_2
| ~ spl23_5
| ~ spl23_33
| spl23_114 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s150,plain,
( ~ spl23_5
| ~ spl23_40
| spl23_115 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s151,plain,
( ~ spl23_25
| ~ spl23_40
| spl23_116 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s152,plain,
( ~ spl23_29
| ~ spl23_40
| spl23_117 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s153,plain,
( ~ spl23_33
| ~ spl23_40
| spl23_118 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s154,plain,
( ~ spl23_19
| ~ spl23_40
| ~ spl23_70
| spl23_119 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s155,plain,
( ~ spl23_19
| ~ spl23_50
| ~ spl23_76
| spl23_120 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s156,plain,
( ~ spl23_19
| ~ spl23_40
| ~ spl23_47
| ~ spl23_82
| spl23_121 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s157,plain,
( ~ spl23_2
| ~ spl23_19
| ~ spl23_47
| ~ spl23_50
| spl23_122 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s158,plain,
( ~ spl23_5
| ~ spl23_47
| ~ spl23_55
| spl23_123 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s159,plain,
( ~ spl23_25
| ~ spl23_40
| ~ spl23_47
| ~ spl23_62
| spl23_124 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s160,plain,
( ~ spl23_18
| ~ spl23_29
| ~ spl23_47
| ~ spl23_50
| spl23_125 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s161,plain,
( ~ spl23_19
| ~ spl23_33
| ~ spl23_47
| ~ spl23_67
| spl23_126 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s162,plain,
( ~ spl23_50
| ~ spl23_55
| ~ spl23_70
| spl23_127 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s163,plain,
( ~ spl23_47
| ~ spl23_50
| ~ spl23_62
| ~ spl23_76
| spl23_128 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s164,plain,
( ~ spl23_18
| ~ spl23_19
| ~ spl23_50
| ~ spl23_82
| spl23_129 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s165,plain,
( ~ spl23_2
| ~ spl23_40
| ~ spl23_50
| ~ spl23_67
| spl23_130 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s166,plain,
( ~ spl23_5
| ~ spl23_55
| spl23_131 ),
inference(sat_conversion,[],[f1368]) ).
cnf(s167,plain,
( ~ spl23_25
| ~ spl23_55
| spl23_132 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s168,plain,
( ~ spl23_29
| ~ spl23_55
| spl23_133 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s169,plain,
( ~ spl23_33
| ~ spl23_55
| spl23_134 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s170,plain,
( ~ spl23_5
| ~ spl23_40
| ~ spl23_62
| spl23_135 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s171,plain,
( ~ spl23_19
| ~ spl23_25
| ~ spl23_62
| ~ spl23_67
| spl23_136 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s172,plain,
( ~ spl23_29
| ~ spl23_47
| ~ spl23_55
| ~ spl23_62
| spl23_137 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s173,plain,
( ~ spl23_18
| ~ spl23_33
| ~ spl23_50
| ~ spl23_62
| spl23_138 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s174,plain,
( ~ spl23_18
| ~ spl23_55
| ~ spl23_70
| spl23_139 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s175,plain,
( ~ spl23_18
| ~ spl23_55
| ~ spl23_62
| ~ spl23_76
| spl23_140 ),
inference(sat_conversion,[],[f1426]) ).
cnf(s176,plain,
( ~ spl23_18
| ~ spl23_67
| ~ spl23_82
| spl23_141 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s177,plain,
( ~ spl23_2
| ~ spl23_18
| ~ spl23_62
| ~ spl23_67
| spl23_142 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s178,plain,
( ~ spl23_40
| ~ spl23_67
| ~ spl23_70
| spl23_143 ),
inference(sat_conversion,[],[f1447]) ).
cnf(s179,plain,
( ~ spl23_18
| ~ spl23_19
| ~ spl23_67
| ~ spl23_76
| spl23_144 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s180,plain,
( ~ spl23_47
| ~ spl23_62
| ~ spl23_67
| ~ spl23_82
| spl23_145 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s181,plain,
( ~ spl23_2
| ~ spl23_50
| ~ spl23_55
| ~ spl23_67
| spl23_146 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s182,plain,
( ~ spl23_5
| ~ spl23_70
| spl23_147 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s183,plain,
( ~ spl23_25
| ~ spl23_70
| spl23_148 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s184,plain,
( ~ spl23_29
| ~ spl23_70
| spl23_149 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s185,plain,
( ~ spl23_33
| ~ spl23_70
| spl23_150 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s186,plain,
( ~ spl23_40
| ~ spl23_55
| ~ spl23_76
| spl23_151 ),
inference(sat_conversion,[],[f1498]) ).
cnf(s187,plain,
( ~ spl23_2
| ~ spl23_19
| ~ spl23_62
| ~ spl23_76
| spl23_152 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s188,plain,
( ~ spl23_18
| ~ spl23_47
| ~ spl23_70
| ~ spl23_76
| spl23_153 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s189,plain,
( ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_154 ),
inference(sat_conversion,[],[f1521]) ).
cnf(s190,plain,
( ~ spl23_40
| ~ spl23_55
| ~ spl23_82
| spl23_155 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s191,plain,
( ~ spl23_19
| ~ spl23_62
| ~ spl23_70
| ~ spl23_82
| spl23_156 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s192,plain,
( ~ spl23_2
| ~ spl23_18
| ~ spl23_47
| ~ spl23_82
| spl23_157 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s193,plain,
( ~ spl23_50
| ~ spl23_67
| ~ spl23_76
| ~ spl23_82
| spl23_158 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s194,plain,
( ~ spl23_2
| ~ spl23_5
| ~ spl23_70
| spl23_159 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s195,plain,
( ~ spl23_2
| ~ spl23_25
| ~ spl23_76
| ~ spl23_82
| spl23_160 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s196,plain,
( ~ spl23_2
| ~ spl23_29
| ~ spl23_76
| ~ spl23_82
| spl23_161 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s197,plain,
( ~ spl23_2
| ~ spl23_33
| ~ spl23_70
| spl23_162 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s198,plain,
( ~ spl23_5
| ~ spl23_93
| spl23_163 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s199,plain,
( ~ spl23_5
| ~ spl23_93
| spl23_164 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s200,plain,
( ~ spl23_47
| ~ spl23_96
| spl23_165 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s201,plain,
( ~ spl23_62
| ~ spl23_96
| spl23_166 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s202,plain,
( ~ spl23_62
| spl23_167
| ~ spl23_174 ),
inference(sat_conversion,[],[f1601]) ).
cnf(s203,plain,
( ~ spl23_47
| spl23_168
| ~ spl23_174 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s204,plain,
( ~ spl23_2
| spl23_169
| ~ spl23_178 ),
inference(sat_conversion,[],[f1609]) ).
cnf(s205,plain,
( ~ spl23_2
| spl23_170
| ~ spl23_178 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s207,plain,
( ~ spl23_5
| ~ spl23_20
| spl23_86 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s209,plain,
( ~ spl23_5
| ~ spl23_10
| spl23_88 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s211,plain,
( ~ spl23_5
| ~ spl23_15
| spl23_87 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s212,plain,
~ spl23_15,
inference(rat,[],[s211,s130,s128]) ).
cnf(s213,plain,
~ spl23_10,
inference(rat,[],[s209,s131,s128]) ).
cnf(s214,plain,
~ spl23_20,
inference(rat,[],[s207,s129,s128]) ).
cnf(s215,plain,
spl23_99,
inference(rat,[],[s133,s128]) ).
cnf(s216,plain,
spl23_100,
inference(rat,[],[s135,s128,s127]) ).
cnf(s217,plain,
spl23_101,
inference(rat,[],[s136,s128,s126]) ).
cnf(s218,plain,
spl23_102,
inference(rat,[],[s137,s128,s125]) ).
cnf(s219,plain,
spl23_118,
inference(rat,[],[s153,s125,s124]) ).
cnf(s220,plain,
spl23_117,
inference(rat,[],[s152,s126,s124]) ).
cnf(s221,plain,
spl23_116,
inference(rat,[],[s151,s127,s124]) ).
cnf(s222,plain,
spl23_115,
inference(rat,[],[s150,s128,s124]) ).
cnf(s223,plain,
spl23_103,
inference(rat,[],[s138,s127,s124]) ).
cnf(s224,plain,
spl23_104,
inference(rat,[],[s139,s125,s127,s123]) ).
cnf(s225,plain,
~ spl23_4,
inference(rat,[],[s134,s129,s123]) ).
cnf(s226,plain,
spl23_105,
inference(rat,[],[s140,s127,s128,s122]) ).
cnf(s227,plain,
spl23_106,
inference(rat,[],[s141,s126,s127,s121]) ).
cnf(s228,plain,
spl23_134,
inference(rat,[],[s169,s125,s120]) ).
cnf(s229,plain,
spl23_133,
inference(rat,[],[s168,s126,s120]) ).
cnf(s230,plain,
spl23_132,
inference(rat,[],[s167,s127,s120]) ).
cnf(s231,plain,
spl23_131,
inference(rat,[],[s166,s128,s120]) ).
cnf(s232,plain,
spl23_107,
inference(rat,[],[s142,s126,s120]) ).
cnf(s233,plain,
spl23_123,
inference(rat,[],[s158,s122,s128,s120]) ).
cnf(s234,plain,
spl23_135,
inference(rat,[],[s170,s124,s128,s119]) ).
cnf(s235,plain,
spl23_108,
inference(rat,[],[s143,s126,s128,s119]) ).
cnf(s236,plain,
spl23_124,
inference(rat,[],[s159,s122,s124,s127,s119]) ).
cnf(s237,plain,
spl23_137,
inference(rat,[],[s172,s120,s122,s126,s119]) ).
cnf(s238,plain,
spl23_138,
inference(rat,[],[s173,s119,s121,s125,s118]) ).
cnf(s239,plain,
spl23_125,
inference(rat,[],[s160,s121,s122,s126,s118]) ).
cnf(s240,plain,
spl23_109,
inference(rat,[],[s144,s125,s126,s118]) ).
cnf(s242,plain,
spl23_110,
inference(rat,[],[s145,s126,s127,s117]) ).
cnf(s243,plain,
spl23_136,
inference(rat,[],[s171,s119,s123,s127,s117]) ).
cnf(s244,plain,
spl23_126,
inference(rat,[],[s161,s122,s123,s125,s117]) ).
cnf(s245,plain,
spl23_150,
inference(rat,[],[s185,s125,s116]) ).
cnf(s246,plain,
spl23_149,
inference(rat,[],[s184,s126,s116]) ).
cnf(s247,plain,
spl23_148,
inference(rat,[],[s183,s127,s116]) ).
cnf(s248,plain,
spl23_147,
inference(rat,[],[s182,s128,s116]) ).
cnf(s249,plain,
spl23_111,
inference(rat,[],[s146,s125,s116]) ).
cnf(s250,plain,
spl23_143,
inference(rat,[],[s178,s117,s124,s116]) ).
cnf(s251,plain,
spl23_119,
inference(rat,[],[s154,s123,s124,s116]) ).
cnf(s252,plain,
spl23_127,
inference(rat,[],[s162,s120,s121,s116]) ).
cnf(s253,plain,
spl23_139,
inference(rat,[],[s174,s118,s120,s116]) ).
cnf(s254,plain,
spl23_112,
inference(rat,[],[s147,s125,s126,s115]) ).
cnf(s255,plain,
spl23_151,
inference(rat,[],[s186,s120,s124,s115]) ).
cnf(s256,plain,
spl23_120,
inference(rat,[],[s155,s121,s123,s115]) ).
cnf(s257,plain,
spl23_128,
inference(rat,[],[s163,s119,s121,s122,s115]) ).
cnf(s258,plain,
spl23_140,
inference(rat,[],[s175,s118,s119,s120,s115]) ).
cnf(s259,plain,
spl23_153,
inference(rat,[],[s188,s116,s118,s122,s115]) ).
cnf(s260,plain,
spl23_144,
inference(rat,[],[s179,s117,s118,s123,s115]) ).
cnf(s261,plain,
spl23_113,
inference(rat,[],[s148,s125,s127,s114]) ).
cnf(s262,plain,
spl23_155,
inference(rat,[],[s190,s120,s124,s114]) ).
cnf(s263,plain,
spl23_121,
inference(rat,[],[s156,s122,s123,s124,s114]) ).
cnf(s264,plain,
spl23_129,
inference(rat,[],[s164,s118,s121,s123,s114]) ).
cnf(s265,plain,
spl23_156,
inference(rat,[],[s191,s116,s119,s123,s114]) ).
cnf(s266,plain,
spl23_145,
inference(rat,[],[s180,s117,s119,s122,s114]) ).
cnf(s267,plain,
spl23_141,
inference(rat,[],[s176,s117,s118,s114]) ).
cnf(s268,plain,
spl23_158,
inference(rat,[],[s193,s115,s117,s121,s114]) ).
cnf(s269,plain,
spl23_154,
inference(rat,[],[s189,s115,s117,s121,s114]) ).
cnf(s273,plain,
spl23_162,
inference(rat,[],[s197,s116,s125,s113]) ).
cnf(s274,plain,
spl23_161,
inference(rat,[],[s196,s114,s115,s126,s113]) ).
cnf(s275,plain,
spl23_160,
inference(rat,[],[s195,s114,s115,s127,s113]) ).
cnf(s276,plain,
spl23_159,
inference(rat,[],[s194,s116,s128,s113]) ).
cnf(s277,plain,
spl23_157,
inference(rat,[],[s192,s114,s118,s122,s113]) ).
cnf(s278,plain,
spl23_152,
inference(rat,[],[s187,s115,s119,s123,s113]) ).
cnf(s279,plain,
spl23_146,
inference(rat,[],[s181,s117,s120,s121,s113]) ).
cnf(s280,plain,
spl23_142,
inference(rat,[],[s177,s117,s118,s119,s113]) ).
cnf(s281,plain,
spl23_130,
inference(rat,[],[s165,s117,s121,s124,s113]) ).
cnf(s282,plain,
spl23_122,
inference(rat,[],[s157,s121,s122,s123,s113]) ).
cnf(s283,plain,
spl23_114,
inference(rat,[],[s149,s125,s128,s113]) ).
cnf(s284,plain,
spl23_164,
inference(rat,[],[s199,s128,s112]) ).
cnf(s285,plain,
spl23_163,
inference(rat,[],[s198,s128,s112]) ).
cnf(s286,plain,
spl23_166,
inference(rat,[],[s201,s119,s111]) ).
cnf(s287,plain,
spl23_165,
inference(rat,[],[s200,s122,s111]) ).
cnf(s288,plain,
spl23_168,
inference(rat,[],[s203,s122,s110]) ).
cnf(s289,plain,
spl23_167,
inference(rat,[],[s202,s119,s110]) ).
cnf(s290,plain,
spl23_170,
inference(rat,[],[s205,s113,s109]) ).
cnf(s291,plain,
spl23_169,
inference(rat,[],[s204,s113,s109]) ).
cnf(s293,plain,
( ~ spl23_1
| spl23_6
| spl23_11
| spl23_16
| ~ spl23_21
| ~ spl23_22
| spl23_27
| ~ spl23_32
| spl23_37
| spl23_42
| spl23_43
| spl23_48
| ~ spl23_53
| spl23_58
| ~ spl23_63
| spl23_64
| spl23_69
| ~ spl23_74
| ~ spl23_79
| ~ spl23_84
| spl23_85
| spl23_89
| ~ spl23_94 ),
inference(rat,[],[s107,s109,s110,s290,s291,s288,s289,s286,s287,s284,s285,s273,s274,s275,s276,s268,s277,s265,s262,s269,s259,s278,s255,s245,s246,s247,s248,s279,s266,s260,s250,s280,s267,s258,s253,s238,s237,s243,s234,s228,s229,s230,s231,s281,s264,s257,s252,s244,s239,s236,s233,s282,s263,s256,s251,s219,s220,s221,s222,s283,s261,s254,s249,s242,s240,s235,s232,s227,s226,s224,s223,s218,s217,s216,s215,s116,s120,s124,s125,s126,s127,s128]) ).
cnf(s308,plain,
spl23_94,
inference(rat,[],[s90,s111]) ).
cnf(s309,plain,
~ spl23_89,
inference(rat,[],[s88,s112]) ).
cnf(s310,plain,
spl23_84,
inference(rat,[],[s80,s113]) ).
cnf(s311,plain,
spl23_79,
inference(rat,[],[s75,s114]) ).
cnf(s312,plain,
spl23_74,
inference(rat,[],[s70,s115]) ).
cnf(s313,plain,
~ spl23_69,
inference(rat,[],[s65,s116]) ).
cnf(s314,plain,
~ spl23_64,
inference(rat,[],[s63,s117]) ).
cnf(s315,plain,
spl23_63,
inference(rat,[],[s57,s118]) ).
cnf(s316,plain,
~ spl23_58,
inference(rat,[],[s56,s119]) ).
cnf(s317,plain,
spl23_53,
inference(rat,[],[s50,s120]) ).
cnf(s318,plain,
~ spl23_48,
inference(rat,[],[s46,s121]) ).
cnf(s319,plain,
~ spl23_43,
inference(rat,[],[s44,s122]) ).
cnf(s320,plain,
~ spl23_42,
inference(rat,[],[s37,s123]) ).
cnf(s321,plain,
~ spl23_37,
inference(rat,[],[s35,s124]) ).
cnf(s322,plain,
spl23_32,
inference(rat,[],[s29,s125]) ).
cnf(s323,plain,
~ spl23_27,
inference(rat,[],[s26,s126]) ).
cnf(s324,plain,
spl23_22,
inference(rat,[],[s23,s127]) ).
cnf(s325,plain,
spl23_21,
inference(rat,[],[s20,s128]) ).
cnf(s326,plain,
~ spl23_16,
inference(rat,[],[s16,s214]) ).
cnf(s327,plain,
~ spl23_11,
inference(rat,[],[s12,s212]) ).
cnf(s328,plain,
~ spl23_6,
inference(rat,[],[s8,s213]) ).
cnf(s329,plain,
~ spl23_1,
inference(rat,[],[s293,s308,s309,s84,s310,s311,s312,s313,s314,s315,s316,s317,s318,s319,s320,s321,s322,s323,s324,s325,s326,s327,s328]) ).
cnf(s330,plain,
$false,
inference(rat,[],[s3,s225,s329]) ).
fof(f1639,plain,
$false,
inference(avatar_sat_refutation,[],[s330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG022+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:19:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.27 % (447041)Will run a generic schedule for satisfiability detection.
% 0.30/0.27 % (447047)% WARNING: option uhcvi not known.
% 0.30/0.27 % (447047)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=38200091:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.30/0.27 % (447046)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1421446557_2999 on theBenchmark for (2999ds/0Mi)
% 0.30/0.27 % (447048)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2167131578:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.30/0.27 % (447049)dis+10_1_sil=32000:sp=arity:random_seed=3706812451:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.27 % (447050)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=230419915:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.30/0.27 % (447052)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=162113688:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.27 % (447051)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=250494500:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.30/0.27 % (447047) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-447041-447047"...
% 0.30/0.27 % (447047)...printing done.
% 0.30/0.27 % (447049) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-447041-447049"...
% 0.30/0.27 % (447047)Refutation found. Thanks to Tanya!
% 0.30/0.27 % SZS status Theorem for theBenchmark
% 0.30/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.27 % (447047)------------------------------
% 0.30/0.27 % (447047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.27 % (447047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.27 % (447047)CaDiCaL version: 2.1.3
% 0.30/0.27 % (447047)Termination reason: Refutation
% 0.30/0.27 % (447047)Time elapsed: 0.024 s
% 0.30/0.27 % (447047)Peak memory usage: 13 MB
% 0.30/0.27 % (447047)Instructions burned: 105 (million)
% 0.30/0.27 % (447041)Success in time 0.051 s
% 0.30/0.27 % Vampire exiting
%------------------------------------------------------------------------------