%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG063+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:21:12 AM UTC 2026
% Result : Theorem 0.21s 0.35s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 70
% Syntax : Number of formulae : 548 ( 82 unt; 65 def)
% Number of atoms : 1917 ( 902 equ)
% Maximal formula atoms : 100 ( 3 avg)
% Number of connectives : 2172 ( 803 ~; 939 |; 389 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 67 ( 65 usr; 66 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f35,plain,
( ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
( ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f37,plain,
( ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f38,plain,
( ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
( ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f40,plain,
( ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f41,plain,
( ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f42,plain,
( ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f43,plain,
( ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f44,plain,
( ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f49,plain,
( ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f50,plain,
( ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f51,plain,
( ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f52,plain,
( ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f53,plain,
( ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f54,plain,
( ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f55,plain,
( ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
( ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f58,plain,
( ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f84,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
( e0 = op(e1,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f262,plain,
( e0 != op(e0,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f263,plain,
( e0 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f264,plain,
( op(e0,e0) = e2
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f266,plain,
( e0 = op(e3,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f267,plain,
( op(e0,e0) = e3
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f269,plain,
( e0 = op(e4,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f273,plain,
( e0 = op(e1,e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f274,plain,
( e1 != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f276,plain,
( e1 = op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f279,plain,
( e2 = op(e1,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f282,plain,
( e3 = op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f284,plain,
( e1 = op(e4,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( e2 != op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f287,plain,
( op(e0,e0) = e2
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( e2 = op(e1,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f292,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f294,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f296,plain,
( e2 = op(e3,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f297,plain,
( e3 = op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f300,plain,
( e4 = op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f301,plain,
( e3 != op(e3,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f302,plain,
( op(e0,e0) = e3
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f303,plain,
( e0 = op(e3,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f305,plain,
( e3 = op(e1,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f307,plain,
( e3 != op(e3,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f308,plain,
( e3 = op(e2,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f309,plain,
( e2 = op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f310,plain,
( e3 != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f312,plain,
( e3 = op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f314,plain,
( e3 = op(e4,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f317,plain,
( op(e0,e0) = e4
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f321,plain,
( e1 = op(e4,e4)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f322,plain,
( e4 != op(e4,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f323,plain,
( e4 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f327,plain,
( e3 = op(e4,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f328,plain,
( e4 != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f330,plain,
( e4 = op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f331,plain,
( e0 != op(e0,e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f332,plain,
( e0 = op(e0,e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f335,plain,
( op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f337,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f339,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption,[],[f332,f331]) ).
fof(f351,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f255]) ).
fof(f352,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption,[],[f339,f276,f274,f294,f292,f312,f310,f330,f328]) ).
fof(f355,definition,
( spl24_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f359,definition,
( spl24_2
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f361,plain,
( sP2
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f363,definition,
( spl24_3
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f365,plain,
( sP3
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f367,definition,
( spl24_4
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f371,definition,
( spl24_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
fof(f375,definition,
( spl24_6
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl24_6])],[avatar_definition]) ).
fof(f377,plain,
( sP7
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl24_7
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl24_7])],[avatar_definition]) ).
fof(f383,definition,
( spl24_8
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl24_8])],[avatar_definition]) ).
fof(f385,plain,
( sP9
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,definition,
( spl24_9
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
fof(f389,plain,
( sP10
| ~ spl24_9 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl24_10
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f395,definition,
( spl24_11
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f399,definition,
( spl24_12
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
fof(f403,definition,
( spl24_13
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
fof(f407,definition,
( spl24_14
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f411,definition,
( spl24_15
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
fof(f415,definition,
( spl24_16
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl24_16])],[avatar_definition]) ).
fof(f419,definition,
( spl24_17
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl24_17])],[avatar_definition]) ).
fof(f421,plain,
( sP20
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f423,definition,
( spl24_18
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl24_18])],[avatar_definition]) ).
fof(f427,definition,
( spl24_19
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
fof(f431,definition,
( spl24_20
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
fof(f434,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5
| spl24_6
| spl24_7
| spl24_8
| spl24_9
| spl24_10
| spl24_11
| spl24_12
| spl24_13
| spl24_14
| spl24_15
| spl24_16
| spl24_17
| spl24_18
| spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f352,f431,f427,f423,f419,f415,f411,f407,f403,f399,f395,f391,f387,f383,f379,f375,f371,f367,f363,f359,f355]) ).
fof(f441,definition,
( spl24_22
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl24_22])],[avatar_definition]) ).
fof(f443,plain,
( e0 != op(e0,e2)
| spl24_22 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( ~ spl24_19
| ~ spl24_22 ),
inference(avatar_split_clause,[],[f262,f441,f427]) ).
fof(f476,definition,
( spl24_29
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_29])],[avatar_definition]) ).
fof(f478,plain,
( e2 != op(e2,e0)
| spl24_29 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( ~ spl24_12
| ~ spl24_29 ),
inference(avatar_split_clause,[],[f286,f476,f399]) ).
fof(f496,definition,
( spl24_33
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).
fof(f498,plain,
( e3 != op(e3,e0)
| spl24_33 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( ~ spl24_8
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f301,f496,f383]) ).
fof(f506,definition,
( spl24_35
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).
fof(f508,plain,
( e3 != op(e3,e2)
| spl24_35 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl24_6
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f307,f506,f375]) ).
fof(f526,definition,
( spl24_39
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).
fof(f528,plain,
( e4 != op(e4,e2)
| spl24_39 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,plain,
( ~ spl24_2
| ~ spl24_39 ),
inference(avatar_split_clause,[],[f322,f526,f359]) ).
fof(f531,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f351]) ).
fof(f532,plain,
( e3 = e4
| op(e0,e0) = e3
| e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e4,e4) ),
inference(forward_demodulation,[],[f335,f531]) ).
fof(f533,plain,
( op(e0,e0) = e3
| e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f532,f245]) ).
fof(f535,definition,
( spl24_40
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl24_40])],[avatar_definition]) ).
fof(f536,plain,
( e3 != op(e4,e4)
| spl24_40 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f537,plain,
( e3 = op(e4,e4)
| ~ spl24_40 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f539,definition,
( spl24_41
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).
fof(f540,plain,
( e3 != op(e3,e3)
| spl24_41 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( e3 = op(e3,e3)
| ~ spl24_41 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f543,definition,
( spl24_42
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_42])],[avatar_definition]) ).
fof(f545,plain,
( e3 = op(e2,e2)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl24_43
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl24_43])],[avatar_definition]) ).
fof(f549,plain,
( op(e0,e0) = e3
| ~ spl24_43 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,plain,
( spl24_40
| spl24_41
| spl24_42
| spl24_43 ),
inference(avatar_split_clause,[],[f533,f547,f543,f539,f535]) ).
fof(f564,definition,
( spl24_44
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_44])],[avatar_definition]) ).
fof(f565,plain,
( e2 != op(e3,e3)
| spl24_44 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( e2 = op(e3,e3)
| ~ spl24_44 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,definition,
( spl24_45
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_45])],[avatar_definition]) ).
fof(f569,plain,
( e2 != op(e2,e2)
| spl24_45 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( e2 = op(e2,e2)
| ~ spl24_45 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f572,definition,
( spl24_46
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl24_46])],[avatar_definition]) ).
fof(f573,plain,
( op(e0,e0) != e2
| spl24_46 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( op(e0,e0) = e2
| ~ spl24_46 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f582,plain,
( e1 = e4
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_demodulation,[],[f337,f531]) ).
fof(f583,plain,
( op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f582,f248]) ).
fof(f589,definition,
( spl24_47
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_47])],[avatar_definition]) ).
fof(f590,plain,
( e1 != op(e2,e2)
| spl24_47 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( e1 = op(e2,e2)
| ~ spl24_47 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl24_48
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl24_48])],[avatar_definition]) ).
fof(f594,plain,
( op(e0,e0) != e1
| spl24_48 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( op(e0,e0) = e1
| ~ spl24_48 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f601,plain,
( e0 = e4
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_demodulation,[],[f338,f531]) ).
fof(f602,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f601,f251]) ).
fof(f611,plain,
( e0 = e4
| ~ sP23 ),
inference(forward_demodulation,[],[f260,f531]) ).
fof(f612,plain,
~ sP23,
inference(forward_subsumption_resolution,[],[f611,f251]) ).
fof(f613,plain,
~ spl24_20,
inference(avatar_split_clause,[],[f612,f431]) ).
fof(f614,plain,
( e0 = e1
| ~ sP22
| ~ spl24_47 ),
inference(forward_demodulation,[],[f263,f591]) ).
fof(f615,plain,
( ~ sP22
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f614,f254]) ).
fof(f616,plain,
( ~ spl24_19
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f615,f589,f427]) ).
fof(f626,plain,
( e2 = e4
| ~ sP17 ),
inference(forward_demodulation,[],[f279,f531]) ).
fof(f627,plain,
~ sP17,
inference(forward_subsumption_resolution,[],[f626,f246]) ).
fof(f628,plain,
~ spl24_15,
inference(avatar_split_clause,[],[f627,f411]) ).
fof(f638,plain,
( e2 = e4
| ~ sP13 ),
inference(forward_demodulation,[],[f290,f531]) ).
fof(f639,plain,
~ sP13,
inference(forward_subsumption_resolution,[],[f638,f246]) ).
fof(f640,plain,
~ spl24_11,
inference(avatar_split_clause,[],[f639,f395]) ).
fof(f641,plain,
( e1 = e3
| ~ sP11
| ~ spl24_47 ),
inference(forward_demodulation,[],[f297,f591]) ).
fof(f642,plain,
( ~ sP11
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f641,f249]) ).
fof(f643,plain,
( ~ spl24_10
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f642,f589,f391]) ).
fof(f650,plain,
( e3 = e4
| ~ sP8 ),
inference(forward_demodulation,[],[f305,f531]) ).
fof(f651,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f650,f245]) ).
fof(f652,plain,
~ spl24_7,
inference(avatar_split_clause,[],[f651,f379]) ).
fof(f653,plain,
( e1 = e3
| ~ sP7
| ~ spl24_47 ),
inference(forward_demodulation,[],[f308,f591]) ).
fof(f654,plain,
( ~ sP7
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f653,f249]) ).
fof(f655,plain,
( ~ spl24_6
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f654,f589,f375]) ).
fof(f675,plain,
( e3 = e4
| ~ sP4
| ~ spl24_43 ),
inference(forward_demodulation,[],[f317,f549]) ).
fof(f676,plain,
( ~ sP4
| ~ spl24_43 ),
inference(forward_subsumption_resolution,[],[f675,f245]) ).
fof(f677,plain,
( ~ spl24_4
| ~ spl24_43 ),
inference(avatar_split_clause,[],[f676,f547,f367]) ).
fof(f678,plain,
( e2 = e3
| ~ spl24_41
| ~ spl24_44 ),
inference(forward_demodulation,[],[f541,f566]) ).
fof(f679,plain,
( $false
| ~ spl24_41
| ~ spl24_44 ),
inference(forward_subsumption_resolution,[],[f678,f247]) ).
fof(f680,plain,
( ~ spl24_41
| ~ spl24_44 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f682,plain,
( e1 = e3
| ~ spl24_42
| ~ spl24_47 ),
inference(forward_demodulation,[],[f545,f591]) ).
fof(f683,plain,
( $false
| ~ spl24_42
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f682,f249]) ).
fof(f684,plain,
( ~ spl24_42
| ~ spl24_47 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f738,definition,
( spl24_49
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_49])],[avatar_definition]) ).
fof(f739,plain,
( e0 != op(e3,e3)
| spl24_49 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
( e0 = op(e3,e3)
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f742,definition,
( spl24_50
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl24_50])],[avatar_definition]) ).
fof(f743,plain,
( e0 != op(e0,e0)
| spl24_50 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( e0 = op(e0,e0)
| ~ spl24_50 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f762,plain,
( e1 = e4
| ~ sP4
| ~ spl24_48 ),
inference(forward_demodulation,[],[f317,f595]) ).
fof(f763,plain,
( ~ sP4
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f762,f248]) ).
fof(f764,plain,
( ~ spl24_4
| ~ spl24_48 ),
inference(avatar_split_clause,[],[f763,f593,f367]) ).
fof(f781,plain,
( e0 = e4
| ~ sP4
| ~ spl24_50 ),
inference(forward_demodulation,[],[f317,f744]) ).
fof(f782,plain,
( ~ sP4
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f781,f251]) ).
fof(f783,plain,
( ~ spl24_4
| ~ spl24_50 ),
inference(avatar_split_clause,[],[f782,f742,f367]) ).
fof(f784,plain,
( e2 = e3
| ~ spl24_42
| ~ spl24_45 ),
inference(forward_demodulation,[],[f545,f570]) ).
fof(f786,plain,
( op(e0,e0) = e1
| e1 = op(e3,e3)
| e1 = op(e4,e4)
| spl24_47 ),
inference(forward_subsumption_resolution,[],[f583,f590]) ).
fof(f787,plain,
( $false
| ~ spl24_42
| ~ spl24_45 ),
inference(forward_subsumption_resolution,[],[f784,f247]) ).
fof(f788,plain,
( ~ spl24_42
| ~ spl24_45 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f810,plain,
( e1 = op(e3,e3)
| e1 = op(e4,e4)
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f786,f594]) ).
fof(f828,plain,
( e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f602,f743]) ).
fof(f923,plain,
( e1 = e2
| e1 = op(e4,e4)
| ~ spl24_44
| spl24_47
| spl24_48 ),
inference(forward_demodulation,[],[f810,f566]) ).
fof(f924,plain,
( e1 = op(e4,e4)
| ~ spl24_44
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f923,f250]) ).
fof(f946,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e4,e4)
| ~ spl24_44
| spl24_50 ),
inference(forward_demodulation,[],[f828,f566]) ).
fof(f947,plain,
( e0 = op(e2,e2)
| e0 = op(e4,e4)
| ~ spl24_44
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f946,f253]) ).
fof(f1003,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[],[f257,f531]) ).
fof(f1004,plain,
( e1 = e2
| ~ spl24_44
| spl24_47
| spl24_48 ),
inference(forward_demodulation,[],[f1003,f924]) ).
fof(f1005,plain,
( $false
| ~ spl24_44
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f1004,f250]) ).
fof(f1006,plain,
( ~ spl24_44
| spl24_47
| spl24_48 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1008,plain,
( e1 = op(e4,e4)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f321,f365]) ).
fof(f1012,plain,
( e1 = e3
| ~ spl24_43
| ~ spl24_48 ),
inference(superposition,[],[f595,f549]) ).
fof(f1020,plain,
( $false
| ~ spl24_43
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1012,f249]) ).
fof(f1021,plain,
( ~ spl24_43
| ~ spl24_48 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1038,plain,
( e1 = e2
| ~ spl24_3 ),
inference(superposition,[],[f1008,f1003]) ).
fof(f1051,plain,
( $false
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f1038,f250]) ).
fof(f1052,plain,
~ spl24_3,
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1055,plain,
( e3 = e4
| ~ sP2
| ~ spl24_42 ),
inference(forward_demodulation,[],[f323,f545]) ).
fof(f1057,plain,
( ~ sP2
| ~ spl24_42 ),
inference(forward_subsumption_resolution,[],[f1055,f245]) ).
fof(f1058,plain,
( ~ spl24_2
| ~ spl24_42 ),
inference(avatar_split_clause,[],[f1057,f543,f359]) ).
fof(f1059,plain,
( e3 = e4
| ~ sP10
| ~ spl24_42 ),
inference(forward_demodulation,[],[f300,f545]) ).
fof(f1061,plain,
( ~ sP10
| ~ spl24_42 ),
inference(forward_subsumption_resolution,[],[f1059,f245]) ).
fof(f1068,plain,
( ~ spl24_9
| ~ spl24_42 ),
inference(avatar_split_clause,[],[f1061,f543,f387]) ).
fof(f1070,plain,
( ~ sP14
| spl24_46 ),
inference(forward_subsumption_resolution,[],[f287,f573]) ).
fof(f1082,plain,
( ~ spl24_12
| spl24_46 ),
inference(avatar_split_clause,[],[f1070,f572,f399]) ).
fof(f1089,plain,
( e0 = e3
| e0 = op(e4,e4)
| ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(forward_demodulation,[],[f947,f545]) ).
fof(f1090,plain,
( e0 = op(e4,e4)
| ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1089,f252]) ).
fof(f1091,plain,
( e0 = e2
| ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(superposition,[],[f1090,f1003]) ).
fof(f1104,plain,
( $false
| ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1091,f253]) ).
fof(f1105,plain,
( ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1106,plain,
( e0 = e1
| ~ spl24_48
| ~ spl24_50 ),
inference(forward_demodulation,[],[f744,f595]) ).
fof(f1107,plain,
( e0 = e1
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| ~ spl24_48 ),
inference(forward_demodulation,[],[f602,f595]) ).
fof(f1108,plain,
( $false
| ~ spl24_48
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f1106,f254]) ).
fof(f1109,plain,
( ~ spl24_48
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1110,plain,
( e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1107,f254]) ).
fof(f1116,plain,
( e2 = op(e3,e3)
| ~ spl24_6 ),
inference(forward_subsumption_resolution,[],[f309,f377]) ).
fof(f1127,plain,
( $false
| ~ spl24_6
| spl24_44 ),
inference(forward_subsumption_resolution,[],[f1116,f565]) ).
fof(f1128,plain,
( ~ spl24_6
| spl24_44 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1129,plain,
( e1 = e3
| ~ sP9
| ~ spl24_48 ),
inference(forward_demodulation,[],[f302,f595]) ).
fof(f1133,plain,
( ~ sP9
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1129,f249]) ).
fof(f1163,plain,
( ~ spl24_8
| ~ spl24_48 ),
inference(avatar_split_clause,[],[f1133,f593,f383]) ).
fof(f1165,plain,
( e0 = e2
| ~ sP20 ),
inference(forward_demodulation,[],[f269,f1003]) ).
fof(f1169,plain,
~ sP20,
inference(forward_subsumption_resolution,[],[f1165,f253]) ).
fof(f1205,plain,
( ~ sP22
| spl24_46 ),
inference(forward_subsumption_resolution,[],[f264,f573]) ).
fof(f1248,plain,
( ~ spl24_19
| spl24_46 ),
inference(avatar_split_clause,[],[f1205,f572,f427]) ).
fof(f1249,plain,
( e3 = e4
| ~ sP16 ),
inference(forward_demodulation,[],[f282,f531]) ).
fof(f1253,plain,
~ sP16,
inference(forward_subsumption_resolution,[],[f1249,f245]) ).
fof(f1286,plain,
~ spl24_14,
inference(avatar_split_clause,[],[f1253,f407]) ).
fof(f1287,plain,
( ~ sP11
| spl24_44 ),
inference(forward_subsumption_resolution,[],[f296,f565]) ).
fof(f1312,plain,
( ~ spl24_10
| spl24_44 ),
inference(avatar_split_clause,[],[f1287,f564,f391]) ).
fof(f1313,plain,
( ~ sP1
| spl24_40 ),
inference(forward_subsumption_resolution,[],[f327,f536]) ).
fof(f1320,plain,
( ~ spl24_1
| spl24_40 ),
inference(avatar_split_clause,[],[f1313,f535,f355]) ).
fof(f1321,plain,
( e0 = e4
| ~ sP19 ),
inference(forward_demodulation,[],[f273,f531]) ).
fof(f1324,plain,
~ sP19,
inference(forward_subsumption_resolution,[],[f1321,f251]) ).
fof(f1361,plain,
~ spl24_16,
inference(avatar_split_clause,[],[f1324,f415]) ).
fof(f1362,plain,
( ~ sP5
| spl24_40 ),
inference(forward_subsumption_resolution,[],[f314,f536]) ).
fof(f1376,plain,
( ~ spl24_5
| spl24_40 ),
inference(avatar_split_clause,[],[f1362,f535,f371]) ).
fof(f1377,plain,
( e1 = e3
| ~ sP21
| ~ spl24_48 ),
inference(forward_demodulation,[],[f267,f595]) ).
fof(f1380,plain,
( ~ sP21
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1377,f249]) ).
fof(f1418,plain,
( ~ spl24_18
| ~ spl24_48 ),
inference(avatar_split_clause,[],[f1380,f593,f423]) ).
fof(f1419,plain,
( e1 = e2
| ~ sP15 ),
inference(forward_demodulation,[],[f284,f1003]) ).
fof(f1422,plain,
~ sP15,
inference(forward_subsumption_resolution,[],[f1419,f250]) ).
fof(f1450,plain,
~ spl24_13,
inference(avatar_split_clause,[],[f1422,f403]) ).
fof(f1451,plain,
( e1 = e2
| ~ spl24_46
| ~ spl24_48 ),
inference(forward_demodulation,[],[f574,f595]) ).
fof(f1455,plain,
( $false
| ~ spl24_46
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1451,f250]) ).
fof(f1456,plain,
( ~ spl24_46
| ~ spl24_48 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1496,plain,
( e0 = e3
| ~ spl24_41
| ~ spl24_49 ),
inference(forward_demodulation,[],[f541,f740]) ).
fof(f1500,plain,
( $false
| ~ spl24_41
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f1496,f252]) ).
fof(f1501,plain,
( ~ spl24_41
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1505,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| ~ spl24_48 ),
inference(forward_demodulation,[],[f1110,f1003]) ).
fof(f1506,plain,
( e0 = op(e2,e2)
| e0 = op(e3,e3)
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f1505,f253]) ).
fof(f1515,plain,
( e0 = op(e2,e2)
| ~ spl24_48
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1506,f739]) ).
fof(f1523,plain,
( e4 = op(e2,e2)
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f323,f361]) ).
fof(f1524,plain,
( e0 = e4
| ~ spl24_2
| ~ spl24_48
| spl24_49 ),
inference(forward_demodulation,[],[f1523,f1515]) ).
fof(f1525,plain,
( $false
| ~ spl24_2
| ~ spl24_48
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1524,f251]) ).
fof(f1526,plain,
( ~ spl24_2
| ~ spl24_48
| spl24_49 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1529,plain,
( e0 = e4
| ~ sP10
| ~ spl24_48
| spl24_49 ),
inference(forward_demodulation,[],[f300,f1515]) ).
fof(f1533,plain,
( ~ sP10
| ~ spl24_48
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1529,f251]) ).
fof(f1552,plain,
( ~ spl24_9
| ~ spl24_48
| spl24_49 ),
inference(avatar_split_clause,[],[f1533,f738,f593,f387]) ).
fof(f1553,plain,
( e1 = e3
| op(e0,e0) = e1
| e1 = op(e4,e4)
| ~ spl24_41
| spl24_47 ),
inference(forward_demodulation,[],[f786,f541]) ).
fof(f1554,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e4,e4)
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f602,f739]) ).
fof(f1557,plain,
( ~ sP21
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f266,f739]) ).
fof(f1558,plain,
( op(e0,e0) = e1
| e1 = op(e4,e4)
| ~ spl24_41
| spl24_47 ),
inference(forward_subsumption_resolution,[],[f1553,f249]) ).
fof(f1559,plain,
( e0 = e2
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| spl24_49 ),
inference(forward_demodulation,[],[f1554,f1003]) ).
fof(f1562,plain,
( e1 = e2
| op(e0,e0) = e1
| ~ spl24_41
| spl24_47 ),
inference(forward_demodulation,[],[f1558,f1003]) ).
fof(f1563,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1559,f253]) ).
fof(f1566,plain,
( op(e0,e0) = e1
| ~ spl24_41
| spl24_47 ),
inference(forward_subsumption_resolution,[],[f1562,f250]) ).
fof(f1600,plain,
( ~ spl24_18
| spl24_49 ),
inference(avatar_split_clause,[],[f1557,f738,f423]) ).
fof(f1612,plain,
( $false
| ~ spl24_41
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f1566,f594]) ).
fof(f1613,plain,
( ~ spl24_41
| spl24_47
| spl24_48 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1614,plain,
( e0 = e3
| ~ spl24_43
| ~ spl24_50 ),
inference(forward_demodulation,[],[f549,f744]) ).
fof(f1615,plain,
( e1 = op(e3,e3)
| e1 = op(e4,e4)
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f786,f594]) ).
fof(f1616,plain,
( $false
| ~ spl24_43
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f1614,f252]) ).
fof(f1617,plain,
( ~ spl24_43
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1618,plain,
( e1 = e2
| e1 = op(e3,e3)
| spl24_47
| spl24_48 ),
inference(forward_demodulation,[],[f1615,f1003]) ).
fof(f1619,plain,
( e1 = op(e3,e3)
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f1618,f250]) ).
fof(f1634,plain,
( e0 = op(e2,e2)
| spl24_49
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1563,f743]) ).
fof(f1635,plain,
( e0 = e2
| ~ spl24_45
| spl24_49
| spl24_50 ),
inference(superposition,[],[f1634,f570]) ).
fof(f1645,plain,
( $false
| ~ spl24_45
| spl24_49
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1635,f253]) ).
fof(f1646,plain,
( ~ spl24_45
| spl24_49
| spl24_50 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
fof(f1647,plain,
( e0 = e1
| spl24_47
| spl24_48
| ~ spl24_49 ),
inference(forward_demodulation,[],[f740,f1619]) ).
fof(f1648,plain,
( e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f602,f743]) ).
fof(f1649,plain,
( $false
| spl24_47
| spl24_48
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f1647,f254]) ).
fof(f1650,plain,
( spl24_47
| spl24_48
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1656,plain,
( e0 = e1
| e0 = op(e2,e2)
| e0 = op(e4,e4)
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_demodulation,[],[f1648,f1619]) ).
fof(f1657,plain,
( e0 = op(e2,e2)
| e0 = op(e4,e4)
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1656,f254]) ).
fof(f1658,plain,
( e0 = e2
| e0 = op(e2,e2)
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_demodulation,[],[f1657,f1003]) ).
fof(f1659,plain,
( e0 = op(e2,e2)
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1658,f253]) ).
fof(f1667,plain,
( e4 = op(e2,e2)
| ~ spl24_9 ),
inference(forward_subsumption_resolution,[],[f300,f389]) ).
fof(f1668,plain,
( e0 = e4
| ~ spl24_9
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_demodulation,[],[f1667,f1659]) ).
fof(f1669,plain,
( $false
| ~ spl24_9
| spl24_47
| spl24_48
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1668,f251]) ).
fof(f1670,plain,
( ~ spl24_9
| spl24_47
| spl24_48
| spl24_50 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1671,plain,
( $false
| ~ spl24_17 ),
inference(global_subsumption,[],[f421,f1169]) ).
fof(f1672,plain,
~ spl24_17,
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1694,plain,
( e0 = e1
| ~ sP9
| spl24_47
| spl24_48 ),
inference(forward_demodulation,[],[f303,f1619]) ).
fof(f1696,plain,
( ~ sP9
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f1694,f254]) ).
fof(f1704,plain,
( $false
| ~ spl24_8
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f1696,f385]) ).
fof(f1705,plain,
( ~ spl24_8
| spl24_47
| spl24_48 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1713,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| spl24_50 ),
inference(forward_demodulation,[],[f1648,f1003]) ).
fof(f1715,plain,
( e0 = op(e2,e2)
| e0 = op(e3,e3)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1713,f253]) ).
fof(f1717,plain,
( e1 != op(e2,e1)
| ~ spl24_47 ),
inference(superposition,[],[f170,f591]) ).
fof(f1723,plain,
( e0 = op(e2,e2)
| spl24_49
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1715,f739]) ).
fof(f1724,plain,
( e0 = e1
| ~ spl24_47
| spl24_49
| spl24_50 ),
inference(forward_demodulation,[],[f1723,f591]) ).
fof(f1725,plain,
( $false
| ~ spl24_47
| spl24_49
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1724,f254]) ).
fof(f1726,plain,
( ~ spl24_47
| spl24_49
| spl24_50 ),
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1731,plain,
( e0 != op(e3,e0)
| ~ spl24_49 ),
inference(superposition,[],[f162,f740]) ).
fof(f1737,plain,
( e1 = e4
| ~ sP2
| ~ spl24_47 ),
inference(forward_demodulation,[],[f323,f591]) ).
fof(f1738,plain,
( ~ sP2
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f1737,f248]) ).
fof(f1739,plain,
( ~ spl24_2
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f1738,f589,f359]) ).
fof(f1740,plain,
e0 = op(e1,op(e4,e4)),
inference(forward_demodulation,[],[f258,f531]) ).
fof(f1741,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f1740,f1003]) ).
fof(f1747,definition,
( spl24_51
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl24_51])],[avatar_definition]) ).
fof(f1749,plain,
( e4 = unit
| ~ spl24_51 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1751,definition,
( spl24_52
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl24_52])],[avatar_definition]) ).
fof(f1753,plain,
( e3 = unit
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1755,definition,
( spl24_53
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl24_53])],[avatar_definition]) ).
fof(f1757,plain,
( e2 = unit
| ~ spl24_53 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f1759,definition,
( spl24_54
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl24_54])],[avatar_definition]) ).
fof(f1761,plain,
( e1 = unit
| ~ spl24_54 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1763,definition,
( spl24_55
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl24_55])],[avatar_definition]) ).
fof(f1765,plain,
( e0 = unit
| ~ spl24_55 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1766,plain,
( spl24_51
| spl24_52
| spl24_53
| spl24_54
| spl24_55 ),
inference(avatar_split_clause,[],[f84,f1763,f1759,f1755,f1751,f1747]) ).
fof(f1767,plain,
( e4 = op(e4,e4)
| ~ spl24_51 ),
inference(superposition,[],[f85,f1749]) ).
fof(f1788,plain,
( e2 = e4
| ~ spl24_51 ),
inference(forward_demodulation,[],[f1767,f1003]) ).
fof(f1791,plain,
( $false
| ~ spl24_51 ),
inference(forward_subsumption_resolution,[],[f1788,f246]) ).
fof(f1792,plain,
~ spl24_51,
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1795,plain,
( e3 = op(e3,e3)
| ~ spl24_52 ),
inference(superposition,[],[f87,f1753]) ).
fof(f1796,plain,
( e3 = op(e3,e3)
| ~ spl24_52 ),
inference(superposition,[],[f88,f1753]) ).
fof(f1802,plain,
( e0 = op(e3,e0)
| ~ spl24_52 ),
inference(superposition,[],[f94,f1753]) ).
fof(f1804,plain,
( $false
| ~ spl24_49
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f1802,f1731]) ).
fof(f1805,plain,
( ~ spl24_49
| ~ spl24_52 ),
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1812,plain,
( $false
| spl24_41
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f1796,f540]) ).
fof(f1813,plain,
( spl24_41
| ~ spl24_52 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1814,plain,
( $false
| spl24_41
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f1795,f540]) ).
fof(f1815,plain,
( spl24_41
| ~ spl24_52 ),
inference(avatar_contradiction_clause,[],[f1814]) ).
fof(f1818,plain,
( e3 = op(e3,e0)
| ~ spl24_55 ),
inference(superposition,[],[f87,f1765]) ).
fof(f1820,plain,
( e2 = op(e2,e0)
| ~ spl24_55 ),
inference(superposition,[],[f89,f1765]) ).
fof(f1824,plain,
( e0 = op(e0,e0)
| ~ spl24_55 ),
inference(superposition,[],[f93,f1765]) ).
fof(f1825,plain,
( e0 = op(e0,e0)
| ~ spl24_55 ),
inference(superposition,[],[f94,f1765]) ).
fof(f1828,plain,
( $false
| spl24_50
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1825,f743]) ).
fof(f1829,plain,
( spl24_50
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1830,plain,
( $false
| spl24_50
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1824,f743]) ).
fof(f1831,plain,
( spl24_50
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1834,plain,
( $false
| spl24_29
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1820,f478]) ).
fof(f1835,plain,
( spl24_29
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1836,plain,
( $false
| spl24_33
| ~ spl24_55 ),
inference(forward_subsumption_resolution,[],[f1818,f498]) ).
fof(f1837,plain,
( spl24_33
| ~ spl24_55 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1840,plain,
( e4 = op(e4,e2)
| ~ spl24_53 ),
inference(superposition,[],[f85,f1757]) ).
fof(f1842,plain,
( e3 = op(e3,e2)
| ~ spl24_53 ),
inference(superposition,[],[f87,f1757]) ).
fof(f1844,plain,
( e2 = op(e2,e2)
| ~ spl24_53 ),
inference(superposition,[],[f89,f1757]) ).
fof(f1845,plain,
( e2 = op(e2,e2)
| ~ spl24_53 ),
inference(superposition,[],[f90,f1757]) ).
fof(f1847,plain,
( e1 = op(e2,e1)
| ~ spl24_53 ),
inference(superposition,[],[f92,f1757]) ).
fof(f1848,plain,
( e0 = op(e0,e2)
| ~ spl24_53 ),
inference(superposition,[],[f93,f1757]) ).
fof(f1853,plain,
( $false
| spl24_22
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1848,f443]) ).
fof(f1854,plain,
( spl24_22
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1853]) ).
fof(f1855,plain,
( $false
| ~ spl24_47
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1847,f1717]) ).
fof(f1856,plain,
( ~ spl24_47
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1855]) ).
fof(f1859,plain,
( $false
| spl24_45
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1845,f569]) ).
fof(f1860,plain,
( spl24_45
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1861,plain,
( $false
| spl24_45
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1844,f569]) ).
fof(f1862,plain,
( spl24_45
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1863,plain,
( $false
| spl24_35
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1842,f508]) ).
fof(f1864,plain,
( spl24_35
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1865,plain,
( $false
| spl24_39
| ~ spl24_53 ),
inference(forward_subsumption_resolution,[],[f1840,f528]) ).
fof(f1866,plain,
( spl24_39
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1872,plain,
( e2 = op(e1,e2)
| ~ spl24_54 ),
inference(superposition,[],[f90,f1761]) ).
fof(f1885,plain,
( e0 = e2
| ~ spl24_54 ),
inference(forward_demodulation,[],[f1872,f1741]) ).
fof(f1892,plain,
( $false
| ~ spl24_54 ),
inference(forward_subsumption_resolution,[],[f1885,f253]) ).
fof(f1893,plain,
~ spl24_54,
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1895,plain,
( e0 = op(e3,e3)
| ~ spl24_8 ),
inference(forward_subsumption_resolution,[],[f303,f385]) ).
fof(f1913,plain,
( $false
| ~ spl24_8
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1895,f739]) ).
fof(f1914,plain,
( ~ spl24_8
| spl24_49 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1916,plain,
( e1 = e4
| ~ sP10
| ~ spl24_47 ),
inference(forward_demodulation,[],[f300,f591]) ).
fof(f1921,plain,
( ~ sP10
| ~ spl24_47 ),
inference(forward_subsumption_resolution,[],[f1916,f248]) ).
fof(f1942,plain,
( ~ spl24_9
| ~ spl24_47 ),
inference(avatar_split_clause,[],[f1921,f589,f387]) ).
fof(f1943,plain,
( e0 = e2
| ~ spl24_46
| ~ spl24_50 ),
inference(forward_demodulation,[],[f574,f744]) ).
fof(f1948,plain,
( $false
| ~ spl24_46
| ~ spl24_50 ),
inference(forward_subsumption_resolution,[],[f1943,f253]) ).
fof(f1949,plain,
( ~ spl24_46
| ~ spl24_50 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
fof(f1975,plain,
( e2 = e3
| ~ spl24_40 ),
inference(forward_demodulation,[],[f537,f1003]) ).
fof(f1980,plain,
( $false
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f1975,f247]) ).
fof(f1981,plain,
~ spl24_40,
inference(avatar_contradiction_clause,[],[f1980]) ).
cnf(s305,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5
| spl24_6
| spl24_7
| spl24_8
| spl24_9
| spl24_10
| spl24_11
| spl24_12
| spl24_13
| spl24_14
| spl24_15
| spl24_16
| spl24_17
| spl24_18
| spl24_19
| spl24_20 ),
inference(sat_conversion,[],[f434]) ).
cnf(s319,plain,
( ~ spl24_19
| ~ spl24_22 ),
inference(sat_conversion,[],[f444]) ).
cnf(s347,plain,
( ~ spl24_12
| ~ spl24_29 ),
inference(sat_conversion,[],[f479]) ).
cnf(s363,plain,
( ~ spl24_8
| ~ spl24_33 ),
inference(sat_conversion,[],[f499]) ).
cnf(s371,plain,
( ~ spl24_6
| ~ spl24_35 ),
inference(sat_conversion,[],[f509]) ).
cnf(s387,plain,
( ~ spl24_2
| ~ spl24_39 ),
inference(sat_conversion,[],[f529]) ).
cnf(s497,plain,
( spl24_40
| spl24_41
| spl24_42
| spl24_43 ),
inference(sat_conversion,[],[f550]) ).
cnf(s556,plain,
~ spl24_20,
inference(sat_conversion,[],[f613]) ).
cnf(s561,plain,
( ~ spl24_19
| ~ spl24_47 ),
inference(sat_conversion,[],[f616]) ).
cnf(s581,plain,
~ spl24_15,
inference(sat_conversion,[],[f628]) ).
cnf(s601,plain,
~ spl24_11,
inference(sat_conversion,[],[f640]) ).
cnf(s606,plain,
( ~ spl24_10
| ~ spl24_47 ),
inference(sat_conversion,[],[f643]) ).
cnf(s621,plain,
~ spl24_7,
inference(sat_conversion,[],[f652]) ).
cnf(s626,plain,
( ~ spl24_6
| ~ spl24_47 ),
inference(sat_conversion,[],[f655]) ).
cnf(s665,plain,
( ~ spl24_4
| ~ spl24_43 ),
inference(sat_conversion,[],[f677]) ).
cnf(s669,plain,
( ~ spl24_41
| ~ spl24_44 ),
inference(sat_conversion,[],[f680]) ).
cnf(s670,plain,
( ~ spl24_42
| ~ spl24_47 ),
inference(sat_conversion,[],[f684]) ).
cnf(s758,plain,
( ~ spl24_4
| ~ spl24_48 ),
inference(sat_conversion,[],[f764]) ).
cnf(s782,plain,
( ~ spl24_4
| ~ spl24_50 ),
inference(sat_conversion,[],[f783]) ).
cnf(s787,plain,
( ~ spl24_42
| ~ spl24_45 ),
inference(sat_conversion,[],[f788]) ).
cnf(s1003,plain,
( ~ spl24_44
| spl24_47
| spl24_48 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s1012,plain,
( ~ spl24_43
| ~ spl24_48 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s1048,plain,
~ spl24_3,
inference(sat_conversion,[],[f1052]) ).
cnf(s1056,plain,
( ~ spl24_2
| ~ spl24_42 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s1063,plain,
( ~ spl24_9
| ~ spl24_42 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s1071,plain,
( ~ spl24_12
| spl24_46 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s1087,plain,
( ~ spl24_42
| ~ spl24_44
| spl24_50 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s1088,plain,
( ~ spl24_48
| ~ spl24_50 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s1106,plain,
( ~ spl24_6
| spl24_44 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s1114,plain,
( ~ spl24_8
| ~ spl24_48 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s1132,plain,
( ~ spl24_19
| spl24_46 ),
inference(sat_conversion,[],[f1248]) ).
cnf(s1141,plain,
~ spl24_14,
inference(sat_conversion,[],[f1286]) ).
cnf(s1149,plain,
( ~ spl24_10
| spl24_44 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s1158,plain,
( ~ spl24_1
| spl24_40 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s1166,plain,
~ spl24_16,
inference(sat_conversion,[],[f1361]) ).
cnf(s1175,plain,
( ~ spl24_5
| spl24_40 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s1182,plain,
( ~ spl24_18
| ~ spl24_48 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s1190,plain,
~ spl24_13,
inference(sat_conversion,[],[f1450]) ).
cnf(s1194,plain,
( ~ spl24_46
| ~ spl24_48 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s1203,plain,
( ~ spl24_41
| ~ spl24_49 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s1229,plain,
( ~ spl24_2
| ~ spl24_48
| spl24_49 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s1237,plain,
( ~ spl24_9
| ~ spl24_48
| spl24_49 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s1253,plain,
( ~ spl24_18
| spl24_49 ),
inference(sat_conversion,[],[f1600]) ).
cnf(s1269,plain,
( ~ spl24_41
| spl24_47
| spl24_48 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s1271,plain,
( ~ spl24_43
| ~ spl24_50 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s1299,plain,
( ~ spl24_45
| spl24_49
| spl24_50 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s1300,plain,
( spl24_47
| spl24_48
| ~ spl24_49 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s1312,plain,
( ~ spl24_9
| spl24_47
| spl24_48
| spl24_50 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s1315,plain,
~ spl24_17,
inference(sat_conversion,[],[f1672]) ).
cnf(s1329,plain,
( ~ spl24_8
| spl24_47
| spl24_48 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s1354,plain,
( ~ spl24_47
| spl24_49
| spl24_50 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s1370,plain,
( ~ spl24_2
| ~ spl24_47 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s1378,plain,
( spl24_51
| spl24_52
| spl24_53
| spl24_54
| spl24_55 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s1390,plain,
~ spl24_51,
inference(sat_conversion,[],[f1792]) ).
cnf(s1395,plain,
( ~ spl24_49
| ~ spl24_52 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s1401,plain,
( spl24_41
| ~ spl24_52 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s1402,plain,
( spl24_41
| ~ spl24_52 ),
inference(sat_conversion,[],[f1815]) ).
cnf(s1409,plain,
( spl24_50
| ~ spl24_55 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s1410,plain,
( spl24_50
| ~ spl24_55 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s1414,plain,
( spl24_29
| ~ spl24_55 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s1416,plain,
( spl24_33
| ~ spl24_55 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s1424,plain,
( spl24_22
| ~ spl24_53 ),
inference(sat_conversion,[],[f1854]) ).
cnf(s1425,plain,
( ~ spl24_47
| ~ spl24_53 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s1427,plain,
( spl24_45
| ~ spl24_53 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s1428,plain,
( spl24_45
| ~ spl24_53 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s1430,plain,
( spl24_35
| ~ spl24_53 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s1432,plain,
( spl24_39
| ~ spl24_53 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s1446,plain,
~ spl24_54,
inference(sat_conversion,[],[f1893]) ).
cnf(s1470,plain,
( ~ spl24_8
| spl24_49 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s1480,plain,
( ~ spl24_9
| ~ spl24_47 ),
inference(sat_conversion,[],[f1942]) ).
cnf(s1483,plain,
( ~ spl24_46
| ~ spl24_50 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s1504,plain,
~ spl24_40,
inference(sat_conversion,[],[f1981]) ).
cnf(s1510,plain,
( spl24_52
| spl24_53
| spl24_55 ),
inference(rat,[],[s1378,s1446,s1390]) ).
cnf(s1511,plain,
~ spl24_5,
inference(rat,[],[s1175,s1504]) ).
cnf(s1512,plain,
~ spl24_1,
inference(rat,[],[s1158,s1504]) ).
cnf(s1513,plain,
( spl24_41
| spl24_42
| spl24_43 ),
inference(rat,[],[s497,s1504]) ).
cnf(s1514,plain,
( spl24_2
| spl24_4
| spl24_6
| spl24_8
| spl24_9
| spl24_10
| spl24_12
| spl24_18
| spl24_19 ),
inference(rat,[],[s305,s556,s1315,s1166,s581,s1141,s1190,s601,s621,s1511,s1048,s1512]) ).
cnf(s1515,plain,
~ spl24_19,
inference(rat,[],[s1401,s1510,s1269,s1410,s1424,s1194,s1483,s319,s561,s1132]) ).
cnf(s1516,plain,
~ spl24_18,
inference(rat,[],[s1271,s1410,s1513,s1510,s670,s1425,s1300,s1203,s1395,s1182,s1253]) ).
cnf(s1517,plain,
( ~ spl24_52
| ~ spl24_46 ),
inference(rat,[],[s1354,s1269,s1395,s1402,s1483,s1194]) ).
cnf(s1518,plain,
~ spl24_12,
inference(rat,[],[s1300,s1299,s1425,s1428,s1510,s1517,s1414,s1194,s1483,s347,s1071]) ).
cnf(s1519,plain,
~ spl24_10,
inference(rat,[],[s1513,s1087,s1012,s1088,s1003,s669,s606,s1149]) ).
cnf(s1521,plain,
( ~ spl24_50
| ~ spl24_9 ),
inference(rat,[],[s1269,s1513,s1088,s1271,s1480,s1063]) ).
cnf(s1522,plain,
~ spl24_9,
inference(rat,[],[s1513,s1203,s1012,s1237,s1312,s1521,s1063,s1480]) ).
cnf(s1523,plain,
~ spl24_8,
inference(rat,[],[s1510,s1425,s1416,s1329,s1395,s363,s1114,s1470]) ).
cnf(s1524,plain,
~ spl24_6,
inference(rat,[],[s1409,s1510,s1088,s1402,s1430,s1003,s669,s371,s626,s1106]) ).
cnf(s1525,plain,
( ~ spl24_41
| ~ spl24_4 ),
inference(rat,[],[s1354,s1269,s1203,s782,s758]) ).
cnf(s1526,plain,
~ spl24_4,
inference(rat,[],[s1427,s787,s1510,s1513,s1402,s1525,s1410,s665,s782]) ).
cnf(s1527,plain,
spl24_2,
inference(rat,[],[s1514,s1518,s1522,s1524,s1523,s1519,s1516,s1515,s1526]) ).
cnf(s1528,plain,
~ spl24_47,
inference(rat,[],[s1370,s1527]) ).
cnf(s1529,plain,
~ spl24_42,
inference(rat,[],[s1056,s1527]) ).
cnf(s1530,plain,
~ spl24_39,
inference(rat,[],[s387,s1527]) ).
cnf(s1531,plain,
~ spl24_53,
inference(rat,[],[s1432,s1530]) ).
cnf(s1532,plain,
~ spl24_41,
inference(rat,[],[s1229,s1269,s1203,s1527,s1528]) ).
cnf(s1533,plain,
~ spl24_52,
inference(rat,[],[s1402,s1532]) ).
cnf(s1534,plain,
spl24_43,
inference(rat,[],[s1513,s1529,s1532]) ).
cnf(s1535,plain,
spl24_55,
inference(rat,[],[s1510,s1531,s1533]) ).
cnf(s1536,plain,
~ spl24_50,
inference(rat,[],[s1271,s1534]) ).
cnf(s1542,plain,
$false,
inference(rat,[],[s1409,s1535,s1536]) ).
fof(f1992,plain,
$false,
inference(avatar_sat_refutation,[],[s1542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG063+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n026.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 19:25:27 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % (4170795)Will run a generic schedule for satisfiability detection.
% 0.21/0.35 % (4170800)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=441312522_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.35 % (4170801)% WARNING: option uhcvi not known.
% 0.21/0.35 % (4170801)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2984329916:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.35 % (4170805)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3135805802:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35 % (4170802)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2317159313:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.35 % (4170803)dis+10_1_sil=32000:sp=arity:random_seed=1230558191:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.35 % (4170804)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2168633907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.35 % (4170806)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3822027969:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.35 % Detected minimum model sizes of [5]
% 0.21/0.35 % Detected maximum model sizes of [max]
% 0.21/0.35 % TRYING [5]
% 0.21/0.35 % TRYING [6]
% 0.21/0.35 % TRYING [7]
% 0.21/0.35 % TRYING [8]
% 0.21/0.35 % (4170802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4170795-4170802"...
% 0.21/0.35 % (4170804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4170795-4170804"...
% 0.21/0.35 % (4170803)Instruction limit reached!
% 0.21/0.35 % (4170803)------------------------------
% 0.21/0.35 % (4170803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4170803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4170803)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4170803)Termination reason: Instruction limit
% 0.21/0.35 % (4170803)Termination phase: Saturation
% 0.21/0.35 % (4170803)Time elapsed: 0.055 s
% 0.21/0.35 % (4170803)Peak memory usage: 12 MB
% 0.21/0.35 % (4170803)Instructions burned: 104 (million)
% 0.21/0.35 % (4170802)...printing done.
% 0.21/0.35 % TRYING [9]
% 0.21/0.35 % (4170802)Refutation found. Thanks to Tanya!
% 0.21/0.35 % SZS status Theorem for theBenchmark
% 0.21/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.36 % (4170802)------------------------------
% 0.79/0.36 % (4170802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.36 % (4170802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.36 % (4170802)CaDiCaL version: 2.1.3
% 0.79/0.36 % (4170802)Termination reason: Refutation
% 0.79/0.36 % (4170802)Time elapsed: 0.055 s
% 0.79/0.36 % (4170802)Peak memory usage: 13 MB
% 0.79/0.36 % (4170802)Instructions burned: 104 (million)
% 0.79/0.36 % (4170795)Success in time 0.102 s
% 0.79/0.36 % Vampire exiting
%------------------------------------------------------------------------------