%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG170+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 : n009.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 09:28:48 AM UTC 2026
% Result : Theorem 0.24s 0.36s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 68
% Syntax : Number of formulae : 676 ( 148 unt; 62 def)
% Number of atoms : 2156 (1050 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 2515 (1035 ~;1071 |; 355 &)
% ( 54 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 64 ( 62 usr; 63 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,plain,
( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| sP7
| sP6
| sP5
| sP4 )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f19,plain,
( ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f20,plain,
( ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f21,plain,
( ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f22,plain,
( ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f23,plain,
( ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
( ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f25,plain,
( ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f26,plain,
( ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f28,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
( e0 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f35,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
( e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
( e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f42,plain,
( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f46,plain,
( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
( e0 = op(e0,e4)
| e1 = op(e0,e4)
| e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
e4 = op(op(e4,e4),op(e4,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
e4 = op(op(e3,e4),op(e4,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
e4 = op(op(e0,e4),op(e4,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
e3 = op(op(e4,e3),op(e3,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
e2 = op(op(e4,e2),op(e2,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
e2 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
e1 = op(op(e4,e1),op(e1,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
e1 = op(op(e0,e1),op(e1,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
e0 = op(op(e1,e0),op(e0,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
e0 = op(op(e0,e0),op(e0,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f132,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f135,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f212,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f224,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f227,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f240,plain,
e0 = op(e4,op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
( e3 != op(e3,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f19]) ).
fof(f248,plain,
( e2 != op(e2,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f251,plain,
( e4 != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f21]) ).
fof(f257,plain,
( e3 != op(e3,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f22]) ).
fof(f259,plain,
( e1 != op(e1,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f22]) ).
fof(f260,plain,
( e0 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f22]) ).
fof(f265,plain,
( e0 != op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f23]) ).
fof(f268,plain,
( e2 != op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f24]) ).
fof(f274,plain,
( e1 != op(e3,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f277,plain,
( e3 != op(e4,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f281,plain,
( e4 != op(e0,e4)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f286,plain,
( e4 != op(e4,e0)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f18]) ).
fof(f289,plain,
( e1 != op(e1,e0)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f18]) ).
fof(f291,plain,
e1 = op(e4,e4),
inference(global_subsumption,[],[f239]) ).
fof(f295,definition,
( spl8_1
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f297,plain,
( ~ sP7
| spl8_1 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f304,definition,
( spl8_3
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f306,plain,
( ~ sP6
| spl8_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f308,definition,
( spl8_4
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f309,plain,
( e4 = op(e4,e2)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( e4 != op(e4,e2)
| spl8_4 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f313,definition,
( spl8_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f315,plain,
( ~ sP5
| spl8_5 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl8_6
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f318,plain,
( e4 = op(e4,e3)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( e4 != op(e4,e3)
| spl8_6 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,plain,
( ~ spl8_5
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f251,f317,f313]) ).
fof(f322,definition,
( spl8_7
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f323,plain,
( sP4
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ sP4
| spl8_7 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f331,definition,
( spl8_9
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f332,plain,
( sP3
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( ~ sP3
| spl8_9 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl8_10
<=> e4 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f337,plain,
( e4 != op(e1,e4)
| spl8_10 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f341,definition,
( spl8_11
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f343,plain,
( ~ sP2
| spl8_11 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f345,definition,
( spl8_12
<=> e4 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f346,plain,
( e4 = op(e2,e4)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f350,definition,
( spl8_13
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f351,plain,
( sP1
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( ~ sP1
| spl8_13 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl8_14
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
fof(f355,plain,
( e4 = op(e3,e4)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f359,definition,
( spl8_15
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f361,plain,
( ~ sP0
| spl8_15 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f364,definition,
( spl8_16
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f365,plain,
( e3 = op(e4,e3)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,plain,
( ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f277,f364,f359]) ).
fof(f387,plain,
( e4 != op(e4,e0)
| sP6
| sP5
| sP4
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f286,f297]) ).
fof(f388,plain,
( e4 != op(e4,e0)
| sP5
| sP4
| spl8_1
| spl8_3 ),
inference(forward_subsumption_resolution,[],[f387,f306]) ).
fof(f389,plain,
( e4 != op(e4,e0)
| sP4
| spl8_1
| spl8_3
| spl8_5 ),
inference(forward_subsumption_resolution,[],[f388,f315]) ).
fof(f390,plain,
( e4 != op(e4,e0)
| spl8_1
| spl8_3
| spl8_5
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f389,f324]) ).
fof(f404,plain,
e0 = op(e4,e1),
inference(forward_demodulation,[],[f240,f291]) ).
fof(f405,plain,
e0 != op(e4,e0),
inference(superposition,[],[f136,f404]) ).
fof(f408,plain,
e4 = op(e1,e1),
inference(forward_demodulation,[],[f102,f291]) ).
fof(f411,plain,
e4 != op(e1,e0),
inference(superposition,[],[f166,f408]) ).
fof(f412,plain,
e4 != op(e1,e4),
inference(superposition,[],[f160,f408]) ).
fof(f414,plain,
~ spl8_10,
inference(avatar_split_clause,[],[f412,f335]) ).
fof(f416,plain,
e1 = op(e0,op(e1,e4)),
inference(forward_demodulation,[],[f117,f404]) ).
fof(f418,plain,
e2 = op(op(e4,e1),e1),
inference(forward_demodulation,[],[f238,f291]) ).
fof(f419,plain,
e2 = op(e0,e1),
inference(forward_demodulation,[],[f418,f404]) ).
fof(f421,plain,
e0 = op(op(e1,e0),e2),
inference(superposition,[],[f125,f419]) ).
fof(f422,plain,
e2 != op(e0,e4),
inference(superposition,[],[f170,f419]) ).
fof(f423,plain,
op(e0,e0) != e2,
inference(superposition,[],[f176,f419]) ).
fof(f428,plain,
e3 = op(op(e4,e1),op(e4,e1)),
inference(forward_demodulation,[],[f237,f291]) ).
fof(f429,plain,
op(e0,e0) = e3,
inference(forward_demodulation,[],[f428,f404]) ).
fof(f431,plain,
e0 = op(e3,e3),
inference(superposition,[],[f126,f429]) ).
fof(f432,plain,
e3 != op(e4,e0),
inference(superposition,[],[f223,f429]) ).
fof(f434,plain,
e3 != op(e0,e4),
inference(superposition,[],[f173,f429]) ).
fof(f436,plain,
e0 != op(e3,e4),
inference(superposition,[],[f137,f431]) ).
fof(f437,plain,
e0 != op(e3,e2),
inference(superposition,[],[f139,f431]) ).
fof(f438,plain,
e0 != op(e3,e1),
inference(superposition,[],[f141,f431]) ).
fof(f439,plain,
e0 != op(e3,e0),
inference(superposition,[],[f144,f431]) ).
fof(f440,plain,
e0 != op(e4,e3),
inference(superposition,[],[f187,f431]) ).
fof(f441,plain,
e0 != op(e2,e3),
inference(superposition,[],[f189,f431]) ).
fof(f444,plain,
( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(forward_subsumption_resolution,[],[f28,f440]) ).
fof(f446,definition,
( spl8_17
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f448,plain,
( e2 = op(e4,e3)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,definition,
( spl8_18
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
fof(f452,plain,
( e1 = op(e4,e3)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,plain,
( spl8_6
| spl8_16
| spl8_17
| spl8_18 ),
inference(avatar_split_clause,[],[f444,f450,f446,f364,f317]) ).
fof(f457,plain,
( e2 != op(e4,e2)
| ~ spl8_17 ),
inference(superposition,[],[f129,f448]) ).
fof(f459,plain,
( e2 != op(e4,e0)
| ~ spl8_17 ),
inference(superposition,[],[f134,f448]) ).
fof(f463,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f29,f457]) ).
fof(f465,definition,
( spl8_19
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
fof(f466,plain,
( e3 != op(e4,e2)
| spl8_19 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( e3 = op(e4,e2)
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl8_20
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl8_20])],[avatar_definition]) ).
fof(f470,plain,
( e1 != op(e4,e2)
| spl8_20 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( e1 = op(e4,e2)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl8_21
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f474,plain,
( e0 != op(e4,e2)
| spl8_21 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( e0 = op(e4,e2)
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,plain,
( spl8_4
| spl8_19
| spl8_20
| spl8_21
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f463,f446,f473,f469,f465,f308]) ).
fof(f485,plain,
( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(forward_subsumption_resolution,[],[f31,f405]) ).
fof(f486,plain,
( e1 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f485,f459]) ).
fof(f487,plain,
( e1 = op(e4,e0)
| e4 = op(e4,e0)
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f486,f432]) ).
fof(f488,plain,
( e1 = op(e4,e0)
| spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f487,f390]) ).
fof(f491,plain,
( e1 != op(e4,e4)
| spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(superposition,[],[f133,f488]) ).
fof(f496,plain,
( $false
| spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f491,f291]) ).
fof(f497,plain,
( spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f505,definition,
( spl8_22
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f506,plain,
( e2 = op(e2,e3)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( e2 != op(e2,e3)
| spl8_22 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f510,definition,
( spl8_23
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
fof(f511,plain,
( e4 = op(e4,e0)
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( e4 != op(e4,e0)
| spl8_23 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f520,definition,
( spl8_25
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f521,plain,
( e3 = op(e3,e0)
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( e3 != op(e3,e0)
| spl8_25 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f530,definition,
( spl8_27
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl8_27])],[avatar_definition]) ).
fof(f531,plain,
( e1 = op(e1,e0)
| ~ spl8_27 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( e1 != op(e1,e0)
| spl8_27 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f535,definition,
( spl8_28
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl8_28])],[avatar_definition]) ).
fof(f536,plain,
( e1 != op(e4,e0)
| spl8_28 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f537,plain,
( e1 = op(e4,e0)
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f541,plain,
( e1 != op(e4,e4)
| ~ spl8_28 ),
inference(superposition,[],[f133,f537]) ).
fof(f545,plain,
( $false
| ~ spl8_28 ),
inference(forward_subsumption_resolution,[],[f541,f291]) ).
fof(f546,plain,
~ spl8_28,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f547,plain,
( e1 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(forward_subsumption_resolution,[],[f485,f432]) ).
fof(f550,plain,
( e1 != op(e4,e4)
| ~ spl8_18 ),
inference(superposition,[],[f127,f452]) ).
fof(f559,plain,
( $false
| ~ spl8_18 ),
inference(forward_subsumption_resolution,[],[f550,f291]) ).
fof(f560,plain,
~ spl8_18,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f561,plain,
( e2 = op(e4,e0)
| e4 = op(e4,e0)
| spl8_28 ),
inference(forward_subsumption_resolution,[],[f547,f536]) ).
fof(f582,plain,
( e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(forward_subsumption_resolution,[],[f32,f436]) ).
fof(f584,definition,
( spl8_29
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl8_29])],[avatar_definition]) ).
fof(f586,plain,
( e3 = op(e3,e4)
| ~ spl8_29 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f588,definition,
( spl8_30
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl8_30])],[avatar_definition]) ).
fof(f590,plain,
( e2 = op(e3,e4)
| ~ spl8_30 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f592,definition,
( spl8_31
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl8_31])],[avatar_definition]) ).
fof(f594,plain,
( e1 = op(e3,e4)
| ~ spl8_31 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,plain,
( spl8_14
| spl8_29
| spl8_30
| spl8_31 ),
inference(avatar_split_clause,[],[f582,f592,f588,f584,f354]) ).
fof(f597,plain,
( e3 = op(op(e4,e3),e3)
| ~ spl8_29 ),
inference(superposition,[],[f107,f586]) ).
fof(f607,plain,
( e3 = op(e4,e3)
| ~ spl8_6
| ~ spl8_29 ),
inference(forward_demodulation,[],[f597,f318]) ).
fof(f611,plain,
( e3 = e4
| ~ spl8_6
| ~ spl8_29 ),
inference(forward_demodulation,[],[f607,f318]) ).
fof(f612,plain,
( $false
| ~ spl8_6
| ~ spl8_29 ),
inference(forward_subsumption_resolution,[],[f611,f227]) ).
fof(f613,plain,
( ~ spl8_6
| ~ spl8_29 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f615,plain,
( e3 = op(e3,op(e3,e4))
| ~ spl8_16 ),
inference(superposition,[],[f107,f365]) ).
fof(f617,plain,
( e3 != op(e4,e2)
| ~ spl8_16 ),
inference(superposition,[],[f129,f365]) ).
fof(f626,plain,
( $false
| ~ spl8_16
| ~ spl8_19 ),
inference(forward_subsumption_resolution,[],[f617,f467]) ).
fof(f627,plain,
( ~ spl8_16
| ~ spl8_19 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f629,plain,
( e3 = op(e3,e3)
| ~ spl8_16
| ~ spl8_29 ),
inference(forward_demodulation,[],[f615,f586]) ).
fof(f631,plain,
( e0 = e3
| ~ spl8_16
| ~ spl8_29 ),
inference(forward_demodulation,[],[f629,f431]) ).
fof(f632,plain,
( $false
| ~ spl8_16
| ~ spl8_29 ),
inference(forward_subsumption_resolution,[],[f631,f234]) ).
fof(f633,plain,
( ~ spl8_16
| ~ spl8_29 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f638,definition,
( spl8_32
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl8_32])],[avatar_definition]) ).
fof(f639,plain,
( e3 = op(e3,e2)
| ~ spl8_32 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( e3 != op(e3,e2)
| spl8_32 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f643,definition,
( spl8_33
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl8_33])],[avatar_definition]) ).
fof(f644,plain,
( e2 = op(e2,e2)
| ~ spl8_33 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( e2 != op(e2,e2)
| spl8_33 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( ~ spl8_3
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f248,f643,f304]) ).
fof(f665,plain,
( e4 = op(op(e3,e4),e2)
| ~ spl8_17 ),
inference(superposition,[],[f103,f448]) ).
fof(f681,plain,
( e4 = op(e3,e2)
| ~ spl8_17
| ~ spl8_29 ),
inference(forward_demodulation,[],[f665,f586]) ).
fof(f696,plain,
( e4 != op(e3,e1)
| ~ spl8_17
| ~ spl8_29 ),
inference(superposition,[],[f142,f681]) ).
fof(f711,plain,
( e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(forward_subsumption_resolution,[],[f35,f438]) ).
fof(f712,plain,
( e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| ~ spl8_17
| ~ spl8_29 ),
inference(forward_subsumption_resolution,[],[f711,f696]) ).
fof(f714,definition,
( spl8_36
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl8_36])],[avatar_definition]) ).
fof(f715,plain,
( e3 != op(e3,e1)
| spl8_36 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f716,plain,
( e3 = op(e3,e1)
| ~ spl8_36 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f718,definition,
( spl8_37
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl8_37])],[avatar_definition]) ).
fof(f719,plain,
( e2 != op(e3,e1)
| spl8_37 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f720,plain,
( e2 = op(e3,e1)
| ~ spl8_37 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f722,definition,
( spl8_38
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl8_38])],[avatar_definition]) ).
fof(f723,plain,
( e1 != op(e3,e1)
| spl8_38 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( e1 = op(e3,e1)
| ~ spl8_38 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f725,plain,
( spl8_36
| spl8_37
| spl8_38
| ~ spl8_17
| ~ spl8_29 ),
inference(avatar_split_clause,[],[f712,f584,f446,f722,f718,f714]) ).
fof(f728,plain,
( e3 != op(e3,e4)
| ~ spl8_36 ),
inference(superposition,[],[f140,f716]) ).
fof(f739,plain,
( $false
| ~ spl8_29
| ~ spl8_36 ),
inference(forward_subsumption_resolution,[],[f728,f586]) ).
fof(f740,plain,
( ~ spl8_29
| ~ spl8_36 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f741,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2) ),
inference(forward_subsumption_resolution,[],[f34,f437]) ).
fof(f742,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e4 = op(e3,e2)
| spl8_32 ),
inference(forward_subsumption_resolution,[],[f741,f640]) ).
fof(f745,plain,
( e1 != op(e4,e4)
| ~ spl8_31 ),
inference(superposition,[],[f177,f594]) ).
fof(f751,plain,
( $false
| ~ spl8_31 ),
inference(forward_subsumption_resolution,[],[f745,f291]) ).
fof(f752,plain,
~ spl8_31,
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f758,plain,
( e3 = op(op(e4,e3),e2)
| ~ spl8_30 ),
inference(superposition,[],[f107,f590]) ).
fof(f767,plain,
( e3 = op(e2,e2)
| ~ spl8_17
| ~ spl8_30 ),
inference(forward_demodulation,[],[f758,f448]) ).
fof(f769,plain,
( e2 = op(e3,e3)
| ~ spl8_17
| ~ spl8_30 ),
inference(superposition,[],[f114,f767]) ).
fof(f779,plain,
( e0 = e2
| ~ spl8_17
| ~ spl8_30 ),
inference(forward_demodulation,[],[f769,f431]) ).
fof(f780,plain,
( $false
| ~ spl8_17
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f779,f235]) ).
fof(f781,plain,
( ~ spl8_17
| ~ spl8_30 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f787,plain,
( e4 != op(e4,e0)
| ~ spl8_6 ),
inference(superposition,[],[f134,f318]) ).
fof(f792,plain,
( $false
| ~ spl8_6
| ~ spl8_23 ),
inference(forward_subsumption_resolution,[],[f787,f511]) ).
fof(f793,plain,
( ~ spl8_6
| ~ spl8_23 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f799,plain,
( e3 = op(e3,op(e3,e4))
| ~ spl8_16 ),
inference(superposition,[],[f107,f365]) ).
fof(f811,plain,
( e3 = op(e3,e2)
| ~ spl8_16
| ~ spl8_30 ),
inference(forward_demodulation,[],[f799,f590]) ).
fof(f813,plain,
( $false
| ~ spl8_16
| ~ spl8_30
| spl8_32 ),
inference(forward_subsumption_resolution,[],[f811,f640]) ).
fof(f814,plain,
( ~ spl8_16
| ~ spl8_30
| spl8_32 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f815,plain,
( e4 = op(op(e3,e4),e4)
| ~ spl8_6 ),
inference(superposition,[],[f103,f318]) ).
fof(f816,plain,
( e3 = op(e4,op(e3,e4))
| ~ spl8_6 ),
inference(superposition,[],[f107,f318]) ).
fof(f827,plain,
( e3 = op(e4,e2)
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f816,f590]) ).
fof(f828,plain,
( e4 = op(e2,e4)
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f815,f590]) ).
fof(f829,plain,
( $false
| ~ spl8_6
| spl8_19
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f827,f466]) ).
fof(f830,plain,
( ~ spl8_6
| spl8_19
| ~ spl8_30 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f839,plain,
( spl8_12
| ~ spl8_6
| ~ spl8_30 ),
inference(avatar_split_clause,[],[f828,f588,f317,f345]) ).
fof(f851,plain,
( e2 = op(e4,e0)
| spl8_23
| spl8_28 ),
inference(forward_subsumption_resolution,[],[f561,f512]) ).
fof(f861,definition,
( spl8_39
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl8_39])],[avatar_definition]) ).
fof(f863,plain,
( e4 = op(e3,e2)
| ~ spl8_39 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f865,definition,
( spl8_40
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl8_40])],[avatar_definition]) ).
fof(f867,plain,
( e2 = op(e3,e2)
| ~ spl8_40 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f869,definition,
( spl8_41
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl8_41])],[avatar_definition]) ).
fof(f871,plain,
( e1 = op(e3,e2)
| ~ spl8_41 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( spl8_39
| spl8_40
| spl8_41
| spl8_32 ),
inference(avatar_split_clause,[],[f742,f638,f869,f865,f861]) ).
fof(f877,plain,
( e4 != op(e3,e0)
| ~ spl8_39 ),
inference(superposition,[],[f145,f863]) ).
fof(f886,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) ),
inference(forward_subsumption_resolution,[],[f36,f439]) ).
fof(f887,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0)
| spl8_25 ),
inference(forward_subsumption_resolution,[],[f886,f522]) ).
fof(f888,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| spl8_25
| ~ spl8_39 ),
inference(forward_subsumption_resolution,[],[f887,f877]) ).
fof(f890,definition,
( spl8_42
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl8_42])],[avatar_definition]) ).
fof(f891,plain,
( e2 != op(e3,e0)
| spl8_42 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f892,plain,
( e2 = op(e3,e0)
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f894,definition,
( spl8_43
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl8_43])],[avatar_definition]) ).
fof(f895,plain,
( e1 != op(e3,e0)
| spl8_43 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f896,plain,
( e1 = op(e3,e0)
| ~ spl8_43 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f897,plain,
( spl8_42
| spl8_43
| spl8_25
| ~ spl8_39 ),
inference(avatar_split_clause,[],[f888,f861,f520,f894,f890]) ).
fof(f901,plain,
( e2 != op(e4,e0)
| ~ spl8_42 ),
inference(superposition,[],[f217,f892]) ).
fof(f908,plain,
( $false
| spl8_23
| spl8_28
| ~ spl8_42 ),
inference(forward_subsumption_resolution,[],[f901,f851]) ).
fof(f909,plain,
( spl8_23
| spl8_28
| ~ spl8_42 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f955,plain,
( e2 != op(e0,e1)
| ~ spl8_37 ),
inference(superposition,[],[f214,f720]) ).
fof(f959,plain,
( $false
| ~ spl8_37 ),
inference(forward_subsumption_resolution,[],[f955,f419]) ).
fof(f960,plain,
~ spl8_37,
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f1036,plain,
( e0 != op(e4,e1)
| ~ spl8_21 ),
inference(superposition,[],[f132,f475]) ).
fof(f1041,plain,
( $false
| ~ spl8_21 ),
inference(forward_subsumption_resolution,[],[f1036,f404]) ).
fof(f1042,plain,
~ spl8_21,
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1050,plain,
( e1 != op(e4,e4)
| ~ spl8_20 ),
inference(superposition,[],[f128,f471]) ).
fof(f1058,plain,
( $false
| ~ spl8_20 ),
inference(forward_subsumption_resolution,[],[f1050,f291]) ).
fof(f1059,plain,
~ spl8_20,
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1063,plain,
( e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| spl8_21 ),
inference(forward_subsumption_resolution,[],[f29,f474]) ).
fof(f1085,plain,
( e1 != op(e3,e1)
| ~ spl8_41 ),
inference(superposition,[],[f142,f871]) ).
fof(f1095,plain,
( $false
| ~ spl8_38
| ~ spl8_41 ),
inference(forward_subsumption_resolution,[],[f1085,f724]) ).
fof(f1096,plain,
( ~ spl8_38
| ~ spl8_41 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1125,plain,
( ~ sP4
| ~ spl8_29 ),
inference(forward_subsumption_resolution,[],[f257,f586]) ).
fof(f1134,plain,
( ~ spl8_7
| ~ spl8_29 ),
inference(avatar_split_clause,[],[f1125,f584,f322]) ).
fof(f1143,definition,
( spl8_47
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl8_47])],[avatar_definition]) ).
fof(f1144,plain,
( e2 = op(e2,e1)
| ~ spl8_47 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1145,plain,
( e2 != op(e2,e1)
| spl8_47 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1202,plain,
( e3 != op(e4,e2)
| ~ spl8_32 ),
inference(superposition,[],[f197,f639]) ).
fof(f1210,plain,
( $false
| ~ spl8_19
| ~ spl8_32 ),
inference(forward_subsumption_resolution,[],[f1202,f467]) ).
fof(f1211,plain,
( ~ spl8_19
| ~ spl8_32 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1229,plain,
( op(e0,e0) != e3
| ~ spl8_25 ),
inference(superposition,[],[f224,f521]) ).
fof(f1233,plain,
( $false
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f1229,f429]) ).
fof(f1234,plain,
~ spl8_25,
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1236,plain,
( e1 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| spl8_37 ),
inference(forward_subsumption_resolution,[],[f711,f719]) ).
fof(f1263,plain,
( e3 = op(op(e4,e3),e4)
| ~ spl8_14 ),
inference(superposition,[],[f107,f355]) ).
fof(f1272,plain,
( e3 = op(e2,e4)
| ~ spl8_14
| ~ spl8_17 ),
inference(forward_demodulation,[],[f1263,f448]) ).
fof(f1279,plain,
( e2 = op(op(e4,e2),e3)
| ~ spl8_14
| ~ spl8_17 ),
inference(superposition,[],[f112,f1272]) ).
fof(f1286,plain,
( e2 = op(e3,e3)
| ~ spl8_14
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_demodulation,[],[f1279,f467]) ).
fof(f1288,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_demodulation,[],[f1286,f431]) ).
fof(f1289,plain,
( $false
| ~ spl8_14
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_subsumption_resolution,[],[f1288,f235]) ).
fof(f1290,plain,
( ~ spl8_14
| ~ spl8_17
| ~ spl8_19 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1297,plain,
( e4 != op(e4,e0)
| ~ spl8_4 ),
inference(superposition,[],[f135,f309]) ).
fof(f1302,plain,
( $false
| ~ spl8_4
| ~ spl8_23 ),
inference(forward_subsumption_resolution,[],[f1297,f511]) ).
fof(f1303,plain,
( ~ spl8_4
| ~ spl8_23 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1307,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0)
| spl8_25 ),
inference(forward_subsumption_resolution,[],[f886,f522]) ).
fof(f1332,plain,
( e3 = op(op(e4,e3),e3)
| ~ spl8_29 ),
inference(superposition,[],[f107,f586]) ).
fof(f1342,plain,
( e3 = op(e2,e3)
| ~ spl8_17
| ~ spl8_29 ),
inference(forward_demodulation,[],[f1332,f448]) ).
fof(f1349,plain,
( e1 != op(e2,e1)
| ~ spl8_38 ),
inference(superposition,[],[f209,f724]) ).
fof(f1387,plain,
( e3 != op(e2,e1)
| ~ spl8_17
| ~ spl8_29 ),
inference(superposition,[],[f151,f1342]) ).
fof(f1420,definition,
( spl8_48
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl8_48])],[avatar_definition]) ).
fof(f1421,plain,
( e1 != op(e2,e2)
| spl8_48 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1422,plain,
( e1 = op(e2,e2)
| ~ spl8_48 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1424,definition,
( spl8_49
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl8_49])],[avatar_definition]) ).
fof(f1425,plain,
( e0 != op(e2,e2)
| spl8_49 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1426,plain,
( e0 = op(e2,e2)
| ~ spl8_49 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1428,plain,
( e2 = op(e1,e1)
| ~ spl8_48 ),
inference(superposition,[],[f114,f1422]) ).
fof(f1439,plain,
( e2 = e4
| ~ spl8_48 ),
inference(forward_demodulation,[],[f1428,f408]) ).
fof(f1440,plain,
( $false
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f1439,f228]) ).
fof(f1441,plain,
~ spl8_48,
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1442,plain,
( op(e0,e0) = e2
| ~ spl8_49 ),
inference(superposition,[],[f114,f1426]) ).
fof(f1455,plain,
( $false
| ~ spl8_49 ),
inference(forward_subsumption_resolution,[],[f1442,f423]) ).
fof(f1456,plain,
~ spl8_49,
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1457,plain,
( e0 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| spl8_48 ),
inference(forward_subsumption_resolution,[],[f39,f1421]) ).
fof(f1472,plain,
( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl8_38 ),
inference(forward_subsumption_resolution,[],[f40,f1349]) ).
fof(f1473,plain,
( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl8_38
| spl8_47 ),
inference(forward_subsumption_resolution,[],[f1472,f1145]) ).
fof(f1474,plain,
( e0 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl8_17
| ~ spl8_29
| ~ spl8_38
| spl8_47 ),
inference(forward_subsumption_resolution,[],[f1473,f1387]) ).
fof(f1476,definition,
( spl8_50
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl8_50])],[avatar_definition]) ).
fof(f1477,plain,
( e4 != op(e2,e1)
| spl8_50 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1478,plain,
( e4 = op(e2,e1)
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1480,definition,
( spl8_51
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl8_51])],[avatar_definition]) ).
fof(f1481,plain,
( e0 != op(e2,e1)
| spl8_51 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1482,plain,
( e0 = op(e2,e1)
| ~ spl8_51 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1483,plain,
( spl8_50
| spl8_51
| ~ spl8_17
| ~ spl8_29
| ~ spl8_38
| spl8_47 ),
inference(avatar_split_clause,[],[f1474,f1143,f722,f584,f446,f1480,f1476]) ).
fof(f1489,plain,
( e4 != op(e1,e1)
| ~ spl8_50 ),
inference(superposition,[],[f212,f1478]) ).
fof(f1494,plain,
( $false
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f1489,f408]) ).
fof(f1495,plain,
~ spl8_50,
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1501,plain,
( e0 != op(e4,e1)
| ~ spl8_51 ),
inference(superposition,[],[f208,f1482]) ).
fof(f1510,plain,
( $false
| ~ spl8_51 ),
inference(forward_subsumption_resolution,[],[f1501,f404]) ).
fof(f1511,plain,
~ spl8_51,
inference(avatar_contradiction_clause,[],[f1510]) ).
fof(f1519,plain,
( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| spl8_51 ),
inference(forward_subsumption_resolution,[],[f40,f1481]) ).
fof(f1520,plain,
( e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| spl8_20
| spl8_21 ),
inference(forward_subsumption_resolution,[],[f1063,f470]) ).
fof(f1521,plain,
( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3) ),
inference(forward_subsumption_resolution,[],[f38,f441]) ).
fof(f1522,plain,
( e2 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| spl8_48
| spl8_49 ),
inference(forward_subsumption_resolution,[],[f1457,f1425]) ).
fof(f1525,plain,
( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| spl8_50
| spl8_51 ),
inference(forward_subsumption_resolution,[],[f1519,f1477]) ).
fof(f1526,plain,
( e2 = op(e4,e2)
| e3 = op(e4,e2)
| spl8_4
| spl8_20
| spl8_21 ),
inference(forward_subsumption_resolution,[],[f1520,f310]) ).
fof(f1527,plain,
( e1 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| spl8_22 ),
inference(forward_subsumption_resolution,[],[f1521,f507]) ).
fof(f1575,plain,
( e4 != op(e0,e4)
| ~ spl8_12 ),
inference(superposition,[],[f185,f346]) ).
fof(f1584,plain,
( e2 != op(e1,e4)
| ~ spl8_30 ),
inference(superposition,[],[f181,f590]) ).
fof(f1599,plain,
( e2 != op(e0,e1)
| ~ spl8_47 ),
inference(superposition,[],[f215,f1144]) ).
fof(f1602,plain,
( $false
| ~ spl8_47 ),
inference(forward_subsumption_resolution,[],[f1599,f419]) ).
fof(f1603,plain,
~ spl8_47,
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1620,plain,
( e3 = op(e3,e1)
| e4 = op(e3,e1)
| spl8_37
| spl8_38 ),
inference(forward_subsumption_resolution,[],[f1236,f723]) ).
fof(f1658,definition,
( spl8_52
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl8_52])],[avatar_definition]) ).
fof(f1659,plain,
( e3 != op(e2,e2)
| spl8_52 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1660,plain,
( e3 = op(e2,e2)
| ~ spl8_52 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1662,plain,
( e1 = op(e2,e1)
| e3 = op(e2,e1)
| spl8_47
| spl8_50
| spl8_51 ),
inference(forward_subsumption_resolution,[],[f1525,f1145]) ).
fof(f1690,definition,
( spl8_53
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl8_53])],[avatar_definition]) ).
fof(f1692,plain,
( e4 = op(e2,e3)
| ~ spl8_53 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1694,definition,
( spl8_54
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl8_54])],[avatar_definition]) ).
fof(f1696,plain,
( e3 = op(e2,e3)
| ~ spl8_54 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1698,definition,
( spl8_55
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl8_55])],[avatar_definition]) ).
fof(f1700,plain,
( e1 = op(e2,e3)
| ~ spl8_55 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1701,plain,
( spl8_53
| spl8_54
| spl8_55
| spl8_22 ),
inference(avatar_split_clause,[],[f1527,f505,f1698,f1694,f1690]) ).
fof(f1708,plain,
( e4 != op(e4,e3)
| ~ spl8_53 ),
inference(superposition,[],[f188,f1692]) ).
fof(f1717,plain,
( $false
| ~ spl8_6
| ~ spl8_53 ),
inference(forward_subsumption_resolution,[],[f1708,f318]) ).
fof(f1718,plain,
( ~ spl8_6
| ~ spl8_53 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
fof(f1790,plain,
( e2 != op(e2,e2)
| ~ spl8_22 ),
inference(superposition,[],[f149,f506]) ).
fof(f1803,plain,
( $false
| ~ spl8_22
| ~ spl8_33 ),
inference(forward_subsumption_resolution,[],[f1790,f644]) ).
fof(f1804,plain,
( ~ spl8_22
| ~ spl8_33 ),
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1830,plain,
( e1 = op(e3,e0)
| e4 = op(e3,e0)
| spl8_25
| spl8_42 ),
inference(forward_subsumption_resolution,[],[f1307,f891]) ).
fof(f1831,plain,
( e4 = op(e3,e0)
| spl8_25
| spl8_42
| spl8_43 ),
inference(forward_subsumption_resolution,[],[f1830,f895]) ).
fof(f1834,plain,
( e4 != op(e3,e4)
| spl8_25
| spl8_42
| spl8_43 ),
inference(superposition,[],[f143,f1831]) ).
fof(f1874,plain,
( e2 != op(e2,e2)
| ~ spl8_40 ),
inference(superposition,[],[f199,f867]) ).
fof(f1881,plain,
( $false
| ~ spl8_33
| ~ spl8_40 ),
inference(forward_subsumption_resolution,[],[f1874,f644]) ).
fof(f1882,plain,
( ~ spl8_33
| ~ spl8_40 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1909,plain,
( e3 != op(e2,e1)
| ~ spl8_54 ),
inference(superposition,[],[f151,f1696]) ).
fof(f1956,plain,
( e1 = op(e2,e1)
| spl8_47
| spl8_50
| spl8_51
| ~ spl8_54 ),
inference(forward_subsumption_resolution,[],[f1662,f1909]) ).
fof(f1960,plain,
( e1 != op(e2,e0)
| spl8_47
| spl8_50
| spl8_51
| ~ spl8_54 ),
inference(superposition,[],[f156,f1956]) ).
fof(f1985,plain,
( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4)
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f42,f1584]) ).
fof(f1986,plain,
( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e3 = op(e1,e4)
| spl8_10
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f1985,f337]) ).
fof(f1988,definition,
( spl8_56
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl8_56])],[avatar_definition]) ).
fof(f1990,plain,
( e3 = op(e1,e4)
| ~ spl8_56 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f1992,definition,
( spl8_57
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl8_57])],[avatar_definition]) ).
fof(f1996,definition,
( spl8_58
<=> e0 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl8_58])],[avatar_definition]) ).
fof(f1999,plain,
( spl8_56
| spl8_57
| spl8_58
| spl8_10
| ~ spl8_30 ),
inference(avatar_split_clause,[],[f1986,f588,f335,f1996,f1992,f1988]) ).
fof(f2004,plain,
( e1 = op(e0,e3)
| ~ spl8_56 ),
inference(superposition,[],[f416,f1990]) ).
fof(f2009,plain,
( e1 != op(e0,e4)
| ~ spl8_56 ),
inference(superposition,[],[f167,f2004]) ).
fof(f2033,definition,
( spl8_61
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl8_61])],[avatar_definition]) ).
fof(f2034,plain,
( e0 != op(e1,e2)
| spl8_61 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2035,plain,
( e0 = op(e1,e2)
| ~ spl8_61 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2087,plain,
( e0 != op(e1,e4)
| ~ spl8_61 ),
inference(superposition,[],[f158,f2035]) ).
fof(f2106,plain,
( e1 != op(e1,e0)
| sP7
| sP5
| sP4
| spl8_3 ),
inference(forward_subsumption_resolution,[],[f289,f306]) ).
fof(f2107,plain,
( ~ sP7
| ~ spl8_36 ),
inference(forward_subsumption_resolution,[],[f242,f716]) ).
fof(f2108,plain,
( e1 != op(e1,e0)
| sP7
| sP4
| spl8_3
| spl8_5 ),
inference(forward_subsumption_resolution,[],[f2106,f315]) ).
fof(f2110,plain,
( ~ spl8_1
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f2107,f714,f295]) ).
fof(f2113,definition,
( spl8_62
<=> e0 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl8_62])],[avatar_definition]) ).
fof(f2114,plain,
( e0 = op(e0,e4)
| ~ spl8_62 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f2115,plain,
( e0 != op(e0,e4)
| spl8_62 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f2116,plain,
( ~ spl8_7
| ~ spl8_62 ),
inference(avatar_split_clause,[],[f260,f2113,f322]) ).
fof(f2131,plain,
( sP7
| sP4
| spl8_3
| spl8_5
| ~ spl8_27 ),
inference(forward_subsumption_resolution,[],[f2108,f531]) ).
fof(f2132,plain,
( sP4
| spl8_1
| spl8_3
| spl8_5
| ~ spl8_27 ),
inference(forward_subsumption_resolution,[],[f2131,f297]) ).
fof(f2133,plain,
( spl8_7
| spl8_1
| spl8_3
| spl8_5
| ~ spl8_27 ),
inference(avatar_split_clause,[],[f2132,f530,f313,f304,f295,f322]) ).
fof(f2134,plain,
( e1 = op(e0,e4)
| e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| spl8_62 ),
inference(forward_subsumption_resolution,[],[f47,f2115]) ).
fof(f2135,plain,
( e2 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| ~ spl8_56
| spl8_62 ),
inference(forward_subsumption_resolution,[],[f2134,f2009]) ).
fof(f2136,plain,
( e3 = op(e0,e4)
| e4 = op(e0,e4)
| ~ spl8_56
| spl8_62 ),
inference(forward_subsumption_resolution,[],[f2135,f422]) ).
fof(f2137,plain,
( e4 = op(e0,e4)
| ~ spl8_56
| spl8_62 ),
inference(forward_subsumption_resolution,[],[f2136,f434]) ).
fof(f2140,plain,
( e4 != op(e0,e4)
| sP3
| sP1
| sP0
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f281,f343]) ).
fof(f2150,plain,
( e4 != op(e0,e4)
| sP3
| sP0
| spl8_11
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f2140,f352]) ).
fof(f2155,plain,
( e4 != op(e0,e4)
| sP3
| spl8_11
| spl8_13
| spl8_15 ),
inference(forward_subsumption_resolution,[],[f2150,f361]) ).
fof(f2163,plain,
( $false
| ~ spl8_12
| ~ spl8_56
| spl8_62 ),
inference(forward_subsumption_resolution,[],[f2137,f1575]) ).
fof(f2164,plain,
( ~ spl8_12
| ~ spl8_56
| spl8_62 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2170,plain,
( ~ spl8_58
| ~ spl8_61 ),
inference(avatar_split_clause,[],[f2087,f2033,f1996]) ).
fof(f2171,plain,
( e0 = op(e0,e4)
| e1 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4) ),
inference(forward_subsumption_resolution,[],[f47,f422]) ).
fof(f2176,plain,
( e0 = op(e0,e4)
| e1 = op(e0,e4)
| e4 = op(e0,e4) ),
inference(forward_subsumption_resolution,[],[f2171,f434]) ).
fof(f2207,definition,
( spl8_63
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl8_63])],[avatar_definition]) ).
fof(f2208,plain,
( e3 != op(e1,e0)
| spl8_63 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2209,plain,
( e3 = op(e1,e0)
| ~ spl8_63 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2211,definition,
( spl8_64
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl8_64])],[avatar_definition]) ).
fof(f2212,plain,
( e2 != op(e1,e0)
| spl8_64 ),
inference(avatar_component_clause,[],[f2211]) ).
fof(f2213,plain,
( e2 = op(e1,e0)
| ~ spl8_64 ),
inference(avatar_component_clause,[],[f2211]) ).
fof(f2216,plain,
( e0 = op(e3,op(e0,e1))
| ~ spl8_63 ),
inference(superposition,[],[f125,f2209]) ).
fof(f2231,plain,
( e0 = op(e3,e2)
| ~ spl8_63 ),
inference(forward_demodulation,[],[f2216,f419]) ).
fof(f2233,plain,
( $false
| ~ spl8_63 ),
inference(forward_subsumption_resolution,[],[f2231,f437]) ).
fof(f2234,plain,
~ spl8_63,
inference(avatar_contradiction_clause,[],[f2233]) ).
fof(f2238,plain,
( e0 = op(e2,op(e0,e1))
| ~ spl8_64 ),
inference(superposition,[],[f125,f2213]) ).
fof(f2254,plain,
( e0 = op(e2,e2)
| ~ spl8_64 ),
inference(forward_demodulation,[],[f2238,f419]) ).
fof(f2256,plain,
( $false
| spl8_49
| ~ spl8_64 ),
inference(forward_subsumption_resolution,[],[f2254,f1425]) ).
fof(f2257,plain,
( spl8_49
| ~ spl8_64 ),
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2262,plain,
( e0 != op(e1,e0)
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f265,f332]) ).
fof(f2282,plain,
( e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0)
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f46,f2262]) ).
fof(f2284,plain,
( e1 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0)
| ~ spl8_9
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2282,f2212]) ).
fof(f2285,plain,
( e1 = op(e1,e0)
| e4 = op(e1,e0)
| ~ spl8_9
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2284,f2208]) ).
fof(f2286,plain,
( e1 = op(e1,e0)
| ~ spl8_9
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2285,f411]) ).
fof(f2294,plain,
( e0 = op(e1,e2)
| ~ spl8_27 ),
inference(superposition,[],[f421,f531]) ).
fof(f2298,plain,
( $false
| ~ spl8_27
| spl8_61 ),
inference(forward_subsumption_resolution,[],[f2294,f2034]) ).
fof(f2299,plain,
( ~ spl8_27
| spl8_61 ),
inference(avatar_contradiction_clause,[],[f2298]) ).
fof(f2452,plain,
( e3 = op(e2,e2)
| e4 = op(e2,e2)
| spl8_33
| spl8_48
| spl8_49 ),
inference(forward_subsumption_resolution,[],[f1522,f645]) ).
fof(f2453,plain,
( e4 = op(e2,e2)
| spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(forward_subsumption_resolution,[],[f2452,f1659]) ).
fof(f2454,plain,
( e2 = op(e4,e4)
| spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(superposition,[],[f114,f2453]) ).
fof(f2469,plain,
( e1 = e2
| spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(forward_demodulation,[],[f2454,f291]) ).
fof(f2470,plain,
( $false
| spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(forward_subsumption_resolution,[],[f2469,f232]) ).
fof(f2471,plain,
( spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2476,plain,
( ~ spl8_14
| spl8_25
| spl8_42
| spl8_43 ),
inference(avatar_split_clause,[],[f1834,f894,f890,f520,f354]) ).
fof(f2483,plain,
( e1 != op(e2,e0)
| ~ spl8_43 ),
inference(superposition,[],[f219,f896]) ).
fof(f2484,plain,
( e1 != op(e1,e0)
| ~ spl8_43 ),
inference(superposition,[],[f221,f896]) ).
fof(f2490,plain,
( $false
| ~ spl8_27
| ~ spl8_43 ),
inference(forward_subsumption_resolution,[],[f2484,f531]) ).
fof(f2491,plain,
( ~ spl8_27
| ~ spl8_43 ),
inference(avatar_contradiction_clause,[],[f2490]) ).
fof(f2498,plain,
( $false
| ~ spl8_9
| spl8_27
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2286,f532]) ).
fof(f2499,plain,
( ~ spl8_9
| spl8_27
| spl8_63
| spl8_64 ),
inference(avatar_contradiction_clause,[],[f2498]) ).
fof(f2500,plain,
( e0 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0)
| spl8_27 ),
inference(forward_subsumption_resolution,[],[f46,f532]) ).
fof(f2502,plain,
( e0 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0)
| spl8_27
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2500,f2212]) ).
fof(f2504,plain,
( e0 = op(e1,e0)
| e4 = op(e1,e0)
| spl8_27
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2502,f2208]) ).
fof(f2506,plain,
( e0 = op(e1,e0)
| spl8_27
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2504,f411]) ).
fof(f2507,plain,
( e1 = op(op(e0,e1),e0)
| spl8_27
| spl8_63
| spl8_64 ),
inference(superposition,[],[f121,f2506]) ).
fof(f2509,plain,
( e0 != op(e1,e4)
| spl8_27
| spl8_63
| spl8_64 ),
inference(superposition,[],[f163,f2506]) ).
fof(f2524,plain,
( e1 = op(e2,e0)
| spl8_27
| spl8_63
| spl8_64 ),
inference(forward_demodulation,[],[f2507,f419]) ).
fof(f2527,plain,
( $false
| spl8_27
| spl8_47
| spl8_50
| spl8_51
| ~ spl8_54
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2524,f1960]) ).
fof(f2528,plain,
( spl8_27
| spl8_47
| spl8_50
| spl8_51
| ~ spl8_54
| spl8_63
| spl8_64 ),
inference(avatar_contradiction_clause,[],[f2527]) ).
fof(f2534,plain,
( $false
| spl8_27
| ~ spl8_43
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2524,f2483]) ).
fof(f2535,plain,
( spl8_27
| ~ spl8_43
| spl8_63
| spl8_64 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f2572,plain,
( e1 != op(e2,e0)
| ~ spl8_55 ),
inference(superposition,[],[f154,f1700]) ).
fof(f2580,plain,
( $false
| spl8_27
| ~ spl8_55
| spl8_63
| spl8_64 ),
inference(forward_subsumption_resolution,[],[f2572,f2524]) ).
fof(f2581,plain,
( spl8_27
| ~ spl8_55
| spl8_63
| spl8_64 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2585,plain,
( e4 != op(e0,e4)
| spl8_9
| spl8_11
| spl8_13
| spl8_15 ),
inference(forward_subsumption_resolution,[],[f2155,f333]) ).
fof(f2612,plain,
( e4 = op(op(e3,e4),e3)
| ~ spl8_16 ),
inference(superposition,[],[f103,f365]) ).
fof(f2625,plain,
( e4 = op(e4,e3)
| ~ spl8_14
| ~ spl8_16 ),
inference(forward_demodulation,[],[f2612,f355]) ).
fof(f2628,plain,
( $false
| spl8_6
| ~ spl8_14
| ~ spl8_16 ),
inference(forward_subsumption_resolution,[],[f2625,f319]) ).
fof(f2629,plain,
( spl8_6
| ~ spl8_14
| ~ spl8_16 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2630,plain,
( e1 != op(e1,e4)
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f259,f323]) ).
fof(f2636,plain,
( ~ spl8_57
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f2630,f322,f1992]) ).
fof(f2639,plain,
( ~ spl8_58
| spl8_27
| spl8_63
| spl8_64 ),
inference(avatar_split_clause,[],[f2509,f2211,f2207,f530,f1996]) ).
fof(f2726,plain,
( e2 = op(e3,e3)
| ~ spl8_52 ),
inference(superposition,[],[f114,f1660]) ).
fof(f2740,plain,
( e0 = e2
| ~ spl8_52 ),
inference(forward_demodulation,[],[f2726,f431]) ).
fof(f2741,plain,
( $false
| ~ spl8_52 ),
inference(forward_subsumption_resolution,[],[f2740,f235]) ).
fof(f2742,plain,
~ spl8_52,
inference(avatar_contradiction_clause,[],[f2741]) ).
fof(f2743,plain,
( e0 = op(e0,e4)
| e1 = op(e0,e4)
| spl8_9
| spl8_11
| spl8_13
| spl8_15 ),
inference(forward_subsumption_resolution,[],[f2176,f2585]) ).
fof(f2759,plain,
( e1 = op(op(e0,e1),e1)
| ~ spl8_27 ),
inference(superposition,[],[f121,f531]) ).
fof(f2771,plain,
( e1 = op(e2,e1)
| ~ spl8_27 ),
inference(forward_demodulation,[],[f2759,f419]) ).
fof(f2787,definition,
( spl8_65
<=> e1 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl8_65])],[avatar_definition]) ).
fof(f2789,plain,
( e1 = op(e0,e4)
| ~ spl8_65 ),
inference(avatar_component_clause,[],[f2787]) ).
fof(f2790,plain,
( spl8_65
| spl8_62
| spl8_9
| spl8_11
| spl8_13
| spl8_15 ),
inference(avatar_split_clause,[],[f2743,f359,f350,f341,f331,f2113,f2787]) ).
fof(f2858,plain,
( e3 != op(e3,e1)
| ~ spl8_32 ),
inference(superposition,[],[f142,f639]) ).
fof(f2874,plain,
( e2 != op(e4,e2)
| ~ spl8_33 ),
inference(superposition,[],[f198,f644]) ).
fof(f2957,plain,
( e2 = op(e4,e0)
| spl8_23
| spl8_28 ),
inference(forward_subsumption_resolution,[],[f561,f512]) ).
fof(f2958,plain,
( e4 = op(op(e0,e4),e2)
| spl8_23
| spl8_28 ),
inference(superposition,[],[f106,f2957]) ).
fof(f2968,plain,
( e4 = op(e0,e2)
| spl8_23
| spl8_28
| ~ spl8_62 ),
inference(forward_demodulation,[],[f2958,f2114]) ).
fof(f2974,plain,
( e4 != op(e4,e2)
| spl8_23
| spl8_28
| ~ spl8_62 ),
inference(superposition,[],[f203,f2968]) ).
fof(f2984,plain,
( e3 = op(e4,e2)
| spl8_4
| spl8_20
| spl8_21
| ~ spl8_33 ),
inference(forward_subsumption_resolution,[],[f1526,f2874]) ).
fof(f2985,plain,
( $false
| spl8_4
| spl8_19
| spl8_20
| spl8_21
| ~ spl8_33 ),
inference(forward_subsumption_resolution,[],[f2984,f466]) ).
fof(f2986,plain,
( spl8_4
| spl8_19
| spl8_20
| spl8_21
| ~ spl8_33 ),
inference(avatar_contradiction_clause,[],[f2985]) ).
fof(f2989,plain,
( ~ spl8_4
| spl8_23
| spl8_28
| ~ spl8_62 ),
inference(avatar_split_clause,[],[f2974,f2113,f535,f510,f308]) ).
fof(f3020,plain,
( e4 = op(e3,e1)
| spl8_36
| spl8_37
| spl8_38 ),
inference(forward_subsumption_resolution,[],[f1620,f715]) ).
fof(f3027,plain,
( e4 != op(e1,e1)
| spl8_36
| spl8_37
| spl8_38 ),
inference(superposition,[],[f211,f3020]) ).
fof(f3033,plain,
( $false
| spl8_36
| spl8_37
| spl8_38 ),
inference(forward_subsumption_resolution,[],[f3027,f408]) ).
fof(f3034,plain,
( spl8_36
| spl8_37
| spl8_38 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3039,plain,
( e1 != op(e3,e1)
| ~ spl8_13 ),
inference(forward_subsumption_resolution,[],[f274,f351]) ).
fof(f3040,plain,
( ~ spl8_38
| ~ spl8_13 ),
inference(avatar_split_clause,[],[f3039,f350,f722]) ).
fof(f3041,plain,
( ~ sP2
| ~ spl8_33 ),
inference(forward_subsumption_resolution,[],[f268,f644]) ).
fof(f3078,plain,
( e1 != op(e2,e1)
| ~ spl8_38 ),
inference(superposition,[],[f209,f724]) ).
fof(f3086,plain,
( $false
| ~ spl8_27
| ~ spl8_38 ),
inference(forward_subsumption_resolution,[],[f3078,f2771]) ).
fof(f3087,plain,
( ~ spl8_27
| ~ spl8_38 ),
inference(avatar_contradiction_clause,[],[f3086]) ).
fof(f3093,plain,
( ~ spl8_36
| ~ spl8_32 ),
inference(avatar_split_clause,[],[f2858,f638,f714]) ).
fof(f3099,plain,
( ~ spl8_11
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f3041,f643,f341]) ).
fof(f3105,plain,
( e1 != op(e4,e4)
| ~ spl8_65 ),
inference(superposition,[],[f183,f2789]) ).
fof(f3116,plain,
( $false
| ~ spl8_65 ),
inference(forward_subsumption_resolution,[],[f3105,f291]) ).
fof(f3117,plain,
~ spl8_65,
inference(avatar_contradiction_clause,[],[f3116]) ).
cnf(s287,plain,
( ~ spl8_5
| ~ spl8_6 ),
inference(sat_conversion,[],[f320]) ).
cnf(s312,plain,
( ~ spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f367]) ).
cnf(s446,plain,
~ spl8_10,
inference(sat_conversion,[],[f414]) ).
cnf(s510,plain,
( spl8_6
| spl8_16
| spl8_17
| spl8_18 ),
inference(sat_conversion,[],[f453]) ).
cnf(s523,plain,
( spl8_4
| ~ spl8_17
| spl8_19
| spl8_20
| spl8_21 ),
inference(sat_conversion,[],[f476]) ).
cnf(s532,plain,
( spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(sat_conversion,[],[f497]) ).
cnf(s564,plain,
~ spl8_28,
inference(sat_conversion,[],[f546]) ).
cnf(s576,plain,
~ spl8_18,
inference(sat_conversion,[],[f560]) ).
cnf(s605,plain,
( spl8_14
| spl8_29
| spl8_30
| spl8_31 ),
inference(sat_conversion,[],[f595]) ).
cnf(s613,plain,
( ~ spl8_6
| ~ spl8_29 ),
inference(sat_conversion,[],[f613]) ).
cnf(s624,plain,
( ~ spl8_16
| ~ spl8_19 ),
inference(sat_conversion,[],[f627]) ).
cnf(s626,plain,
( ~ spl8_16
| ~ spl8_29 ),
inference(sat_conversion,[],[f633]) ).
cnf(s643,plain,
( ~ spl8_3
| ~ spl8_33 ),
inference(sat_conversion,[],[f646]) ).
cnf(s691,plain,
( ~ spl8_17
| ~ spl8_29
| spl8_36
| spl8_37
| spl8_38 ),
inference(sat_conversion,[],[f725]) ).
cnf(s694,plain,
( ~ spl8_29
| ~ spl8_36 ),
inference(sat_conversion,[],[f740]) ).
cnf(s710,plain,
~ spl8_31,
inference(sat_conversion,[],[f752]) ).
cnf(s729,plain,
( ~ spl8_17
| ~ spl8_30 ),
inference(sat_conversion,[],[f781]) ).
cnf(s737,plain,
( ~ spl8_6
| ~ spl8_23 ),
inference(sat_conversion,[],[f793]) ).
cnf(s751,plain,
( ~ spl8_16
| ~ spl8_30
| spl8_32 ),
inference(sat_conversion,[],[f814]) ).
cnf(s761,plain,
( ~ spl8_6
| spl8_19
| ~ spl8_30 ),
inference(sat_conversion,[],[f830]) ).
cnf(s769,plain,
( ~ spl8_6
| spl8_12
| ~ spl8_30 ),
inference(sat_conversion,[],[f839]) ).
cnf(s781,plain,
( spl8_32
| spl8_39
| spl8_40
| spl8_41 ),
inference(sat_conversion,[],[f872]) ).
cnf(s798,plain,
( spl8_25
| ~ spl8_39
| spl8_42
| spl8_43 ),
inference(sat_conversion,[],[f897]) ).
cnf(s802,plain,
( spl8_23
| spl8_28
| ~ spl8_42 ),
inference(sat_conversion,[],[f909]) ).
cnf(s850,plain,
~ spl8_37,
inference(sat_conversion,[],[f960]) ).
cnf(s903,plain,
~ spl8_21,
inference(sat_conversion,[],[f1042]) ).
cnf(s910,plain,
~ spl8_20,
inference(sat_conversion,[],[f1059]) ).
cnf(s943,plain,
( ~ spl8_38
| ~ spl8_41 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s974,plain,
( ~ spl8_7
| ~ spl8_29 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s1023,plain,
( ~ spl8_19
| ~ spl8_32 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s1042,plain,
~ spl8_25,
inference(sat_conversion,[],[f1234]) ).
cnf(s1078,plain,
( ~ spl8_14
| ~ spl8_17
| ~ spl8_19 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s1089,plain,
( ~ spl8_4
| ~ spl8_23 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s1163,plain,
~ spl8_48,
inference(sat_conversion,[],[f1441]) ).
cnf(s1172,plain,
~ spl8_49,
inference(sat_conversion,[],[f1456]) ).
cnf(s1183,plain,
( ~ spl8_17
| ~ spl8_29
| ~ spl8_38
| spl8_47
| spl8_50
| spl8_51 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s1186,plain,
~ spl8_50,
inference(sat_conversion,[],[f1495]) ).
cnf(s1194,plain,
~ spl8_51,
inference(sat_conversion,[],[f1511]) ).
cnf(s1274,plain,
~ spl8_47,
inference(sat_conversion,[],[f1603]) ).
cnf(s1318,plain,
( spl8_22
| spl8_53
| spl8_54
| spl8_55 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s1323,plain,
( ~ spl8_6
| ~ spl8_53 ),
inference(sat_conversion,[],[f1718]) ).
cnf(s1358,plain,
( ~ spl8_22
| ~ spl8_33 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s1410,plain,
( ~ spl8_33
| ~ spl8_40 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s1463,plain,
( spl8_10
| ~ spl8_30
| spl8_56
| spl8_57
| spl8_58 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s1506,plain,
( ~ spl8_1
| ~ spl8_36 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s1513,plain,
( ~ spl8_7
| ~ spl8_62 ),
inference(sat_conversion,[],[f2116]) ).
cnf(s1519,plain,
( spl8_1
| spl8_3
| spl8_5
| spl8_7
| ~ spl8_27 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s1531,plain,
( ~ spl8_12
| ~ spl8_56
| spl8_62 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s1546,plain,
( ~ spl8_58
| ~ spl8_61 ),
inference(sat_conversion,[],[f2170]) ).
cnf(s1630,plain,
~ spl8_63,
inference(sat_conversion,[],[f2234]) ).
cnf(s1639,plain,
( spl8_49
| ~ spl8_64 ),
inference(sat_conversion,[],[f2257]) ).
cnf(s1665,plain,
( ~ spl8_27
| spl8_61 ),
inference(sat_conversion,[],[f2299]) ).
cnf(s1716,plain,
( spl8_33
| spl8_48
| spl8_49
| spl8_52 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s1737,plain,
( ~ spl8_14
| spl8_25
| spl8_42
| spl8_43 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s1759,plain,
( ~ spl8_27
| ~ spl8_43 ),
inference(sat_conversion,[],[f2491]) ).
cnf(s1771,plain,
( ~ spl8_9
| spl8_27
| spl8_63
| spl8_64 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s1783,plain,
( spl8_27
| spl8_47
| spl8_50
| spl8_51
| ~ spl8_54
| spl8_63
| spl8_64 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s1806,plain,
( spl8_27
| ~ spl8_43
| spl8_63
| spl8_64 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s1842,plain,
( spl8_27
| ~ spl8_55
| spl8_63
| spl8_64 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s1878,plain,
( spl8_6
| ~ spl8_14
| ~ spl8_16 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s1910,plain,
( ~ spl8_7
| ~ spl8_57 ),
inference(sat_conversion,[],[f2636]) ).
cnf(s1917,plain,
( spl8_27
| ~ spl8_58
| spl8_63
| spl8_64 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s1958,plain,
~ spl8_52,
inference(sat_conversion,[],[f2742]) ).
cnf(s2010,plain,
( spl8_9
| spl8_11
| spl8_13
| spl8_15
| spl8_62
| spl8_65 ),
inference(sat_conversion,[],[f2790]) ).
cnf(s2077,plain,
( spl8_4
| spl8_19
| spl8_20
| spl8_21
| ~ spl8_33 ),
inference(sat_conversion,[],[f2986]) ).
cnf(s2082,plain,
( ~ spl8_4
| spl8_23
| spl8_28
| ~ spl8_62 ),
inference(sat_conversion,[],[f2989]) ).
cnf(s2108,plain,
( spl8_36
| spl8_37
| spl8_38 ),
inference(sat_conversion,[],[f3034]) ).
cnf(s2116,plain,
( ~ spl8_13
| ~ spl8_38 ),
inference(sat_conversion,[],[f3040]) ).
cnf(s2142,plain,
( ~ spl8_27
| ~ spl8_38 ),
inference(sat_conversion,[],[f3087]) ).
cnf(s2156,plain,
( ~ spl8_32
| ~ spl8_36 ),
inference(sat_conversion,[],[f3093]) ).
cnf(s2181,plain,
( ~ spl8_11
| ~ spl8_33 ),
inference(sat_conversion,[],[f3099]) ).
cnf(s2200,plain,
~ spl8_65,
inference(sat_conversion,[],[f3117]) ).
cnf(s2204,plain,
( spl8_9
| spl8_11
| spl8_13
| spl8_15
| spl8_62 ),
inference(rat,[],[s2010,s2200]) ).
cnf(s2205,plain,
( spl8_33
| spl8_48
| spl8_49 ),
inference(rat,[],[s1716,s1958]) ).
cnf(s2211,plain,
( ~ spl8_17
| ~ spl8_29
| ~ spl8_38 ),
inference(rat,[],[s1183,s1194,s1186,s1274]) ).
cnf(s2212,plain,
~ spl8_64,
inference(rat,[],[s1639,s1172]) ).
cnf(s2213,plain,
spl8_33,
inference(rat,[],[s2205,s1172,s1163]) ).
cnf(s2214,plain,
~ spl8_11,
inference(rat,[],[s2181,s2213]) ).
cnf(s2215,plain,
~ spl8_40,
inference(rat,[],[s1410,s2213]) ).
cnf(s2216,plain,
~ spl8_22,
inference(rat,[],[s1358,s2213]) ).
cnf(s2219,plain,
( ~ spl8_39
| spl8_42
| spl8_43 ),
inference(rat,[],[s798,s1042]) ).
cnf(s2220,plain,
( spl8_32
| spl8_39
| spl8_41 ),
inference(rat,[],[s781,s2215]) ).
cnf(s2221,plain,
( ~ spl8_17
| ~ spl8_29
| spl8_36
| spl8_38 ),
inference(rat,[],[s691,s850]) ).
cnf(s2222,plain,
~ spl8_3,
inference(rat,[],[s643,s2213]) ).
cnf(s2223,plain,
( spl8_14
| spl8_29
| spl8_30 ),
inference(rat,[],[s605,s710]) ).
cnf(s2228,plain,
( spl8_1
| spl8_5
| spl8_7
| ~ spl8_17 ),
inference(rat,[],[s532,s2222]) ).
cnf(s2229,plain,
( spl8_4
| ~ spl8_17
| spl8_19 ),
inference(rat,[],[s523,s903,s910]) ).
cnf(s2230,plain,
( spl8_6
| spl8_16
| spl8_17 ),
inference(rat,[],[s510,s576]) ).
cnf(s2232,plain,
~ spl8_58,
inference(rat,[],[s1665,s1546,s1917,s1630,s2212]) ).
cnf(s2233,plain,
( ~ spl8_30
| ~ spl8_7
| ~ spl8_6 ),
inference(rat,[],[s1531,s1463,s769,s1910,s1513,s446,s2232]) ).
cnf(s2234,plain,
~ spl8_43,
inference(rat,[],[s1759,s1806,s1630,s2212]) ).
cnf(s2235,plain,
( ~ spl8_6
| spl8_5
| spl8_1 ),
inference(rat,[],[s1318,s1783,s1842,s1519,s2233,s2223,s1737,s802,s613,s737,s1323,s2216,s1274,s1194,s1186,s1630,s2212,s2222,s1042,s2234,s564]) ).
cnf(s2236,plain,
( ~ spl8_30
| spl8_62
| spl8_6 ),
inference(rat,[],[s2204,s1771,s2116,s2142,s2108,s2156,s312,s751,s2230,s729,s2214,s1630,s2212,s850]) ).
cnf(s2237,plain,
( ~ spl8_14
| spl8_6 ),
inference(rat,[],[s1089,s2229,s1078,s802,s2230,s1737,s1878,s2234,s1042,s564]) ).
cnf(s2238,plain,
( ~ spl8_17
| spl8_5
| spl8_1 ),
inference(rat,[],[s974,s2223,s2228,s729,s2237,s2235]) ).
cnf(s2239,plain,
( spl8_5
| spl8_1 ),
inference(rat,[],[s2082,s1089,s2236,s2077,s2223,s624,s626,s2230,s2238,s2237,s2235,s2213,s903,s910,s564]) ).
cnf(s2240,plain,
( ~ spl8_29
| ~ spl8_17 ),
inference(rat,[],[s2221,s694,s2211]) ).
cnf(s2241,plain,
( ~ spl8_17
| spl8_14 ),
inference(rat,[],[s2240,s2223,s729]) ).
cnf(s2242,plain,
spl8_6,
inference(rat,[],[s2082,s1089,s2236,s2077,s2223,s624,s626,s2230,s2241,s2237,s564,s910,s903,s2213]) ).
cnf(s2244,plain,
~ spl8_23,
inference(rat,[],[s737,s2242]) ).
cnf(s2245,plain,
~ spl8_29,
inference(rat,[],[s613,s2242]) ).
cnf(s2246,plain,
~ spl8_5,
inference(rat,[],[s287,s2242]) ).
cnf(s2248,plain,
~ spl8_42,
inference(rat,[],[s802,s564,s2244]) ).
cnf(s2250,plain,
spl8_1,
inference(rat,[],[s2239,s2246]) ).
cnf(s2251,plain,
~ spl8_14,
inference(rat,[],[s1737,s2234,s1042,s2248]) ).
cnf(s2252,plain,
~ spl8_39,
inference(rat,[],[s2219,s2234,s2248]) ).
cnf(s2253,plain,
~ spl8_36,
inference(rat,[],[s1506,s2250]) ).
cnf(s2255,plain,
spl8_30,
inference(rat,[],[s2223,s2245,s2251]) ).
cnf(s2256,plain,
spl8_38,
inference(rat,[],[s2108,s850,s2253]) ).
cnf(s2259,plain,
spl8_19,
inference(rat,[],[s761,s2242,s2255]) ).
cnf(s2263,plain,
~ spl8_41,
inference(rat,[],[s943,s2256]) ).
cnf(s2265,plain,
~ spl8_32,
inference(rat,[],[s1023,s2259]) ).
cnf(s2272,plain,
$false,
inference(rat,[],[s2220,s2252,s2265,s2263]) ).
fof(f3124,plain,
$false,
inference(avatar_sat_refutation,[],[s2272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG170+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.19 % Computer : n009.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 19:37:15 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.23 Running first-order model finding
% 0.12/0.23 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
% 0.24/0.36 % (3375261)Will run a generic schedule for satisfiability detection.
% 0.24/0.36 % (3375269)dis+10_1_sil=32000:sp=arity:random_seed=564144001:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.36 % (3375267)% WARNING: option uhcvi not known.
% 0.24/0.36 % (3375267)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2500462910:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.36 % (3375266)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=969806584_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.36 % (3375268)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1545431463:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.36 % (3375270)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2558923813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.36 % (3375272)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3316806875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.36 % (3375271)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3948190698:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.36 % Detected minimum model sizes of [5]
% 0.24/0.36 % Detected maximum model sizes of [max]
% 0.24/0.36 % TRYING [5]
% 0.24/0.36 % (3375269)Instruction limit reached!
% 0.24/0.36 % (3375269)------------------------------
% 0.24/0.36 % (3375269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36 % (3375269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36 % (3375269)CaDiCaL version: 2.1.3
% 0.24/0.36 % (3375269)Termination reason: Instruction limit
% 0.24/0.36 % (3375269)Termination phase: Saturation
% 0.24/0.36 % (3375269)Time elapsed: 0.032 s
% 0.24/0.36 % (3375269)Peak memory usage: 12 MB
% 0.24/0.36 % (3375269)Instructions burned: 106 (million)
% 0.24/0.36 % TRYING [6]
% 0.24/0.36 % (3375280)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3399793636:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.24/0.36 % Detected minimum model sizes of [5]
% 0.24/0.36 % Detected maximum model sizes of [max]
% 0.24/0.36 % TRYING [5]
% 0.24/0.36 % TRYING [6]
% 0.24/0.36 % (3375270)Instruction limit reached!
% 0.24/0.36 % (3375270)------------------------------
% 0.24/0.36 % (3375270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36 % (3375270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36 % (3375270)CaDiCaL version: 2.1.3
% 0.24/0.36 % (3375270)Termination reason: Instruction limit
% 0.24/0.36 % (3375270)Termination phase: Saturation
% 0.24/0.36 % (3375270)Time elapsed: 0.062 s
% 0.24/0.36 % (3375270)Peak memory usage: 12 MB
% 0.24/0.36 % (3375270)Instructions burned: 117 (million)
% 0.24/0.36 % TRYING [7]
% 0.24/0.36 % (3375271)Instruction limit reached!
% 0.24/0.36 % (3375271)------------------------------
% 0.24/0.36 % (3375271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36 % (3375271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36 % (3375271)CaDiCaL version: 2.1.3
% 0.24/0.36 % (3375271)Termination reason: Instruction limit
% 0.24/0.36 % (3375271)Termination phase: Saturation
% 0.24/0.36 % (3375271)Time elapsed: 0.066 s
% 0.24/0.36 % (3375271)Peak memory usage: 13 MB
% 0.24/0.36 % (3375271)Instructions burned: 131 (million)
% 0.24/0.36 % (3375268) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3375261-3375268"...
% 0.24/0.36 % TRYING [7]
% 0.24/0.36 % (3375268)...printing done.
% 0.24/0.36 % (3375268)Refutation found. Thanks to Tanya!
% 0.24/0.36 % SZS status Theorem for theBenchmark
% 0.24/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.37 % (3375268)------------------------------
% 0.24/0.37 % (3375268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.37 % (3375268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.37 % (3375268)CaDiCaL version: 2.1.3
% 0.24/0.37 % (3375268)Termination reason: Refutation
% 0.24/0.37 % (3375268)Time elapsed: 0.079 s
% 0.24/0.37 % (3375268)Peak memory usage: 13 MB
% 0.24/0.37 % (3375268)Instructions burned: 138 (million)
% 0.24/0.37 % (3375261)Success in time 0.125 s
% 0.24/0.37 % Vampire exiting
%------------------------------------------------------------------------------