%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:13:52 AM UTC 2026
% Result : Unsatisfiable 3.15s 1.15s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 91
% Syntax : Number of formulae : 727 ( 77 unt; 80 def)
% Number of atoms : 2110 ( 794 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2378 ( 995 ~;1155 |; 152 &)
% ( 76 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 82 ( 80 usr; 81 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 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,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3 ) )
& ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3 ) )
& ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3 ) )
& ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f39,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f15]) ).
fof(f45,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f21]) ).
fof(f50,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f51,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f52,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,definition,
( ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op(e3,e3) = e2
& op(e3,e2) != e3 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op(e3,e3) = e1
& op(e3,e1) != e3 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op(e3,e3) = e0
& op(e3,e0) != e3 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 )
| sP3 )
& ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 )
| sP2 )
& ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| sP1 )
& ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 )
| sP0 ) ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f59,plain,
( ( op(e3,e3) = e0
& op(e3,e0) != e3 )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ( op(e3,e3) = e1
& op(e3,e1) != e3 )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ( op(e3,e3) = e2
& op(e3,e2) != e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f62,plain,
( ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f66,plain,
( e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e0 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e0 = op(e0,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
( e3 != op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f166,plain,
( e0 = op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f167,plain,
( e3 != op(e3,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f168,plain,
( e1 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f169,plain,
( e3 != op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f170,plain,
( e2 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f171,plain,
( e3 != op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f172,plain,
( e3 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
( e0 != op(e0,e3)
| e3 = op(e1,e1)
| e3 = op(e2,e2)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f178,plain,
( op(e0,e0) = e3
| e1 != op(e1,e3)
| e3 = op(e2,e2)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f179,plain,
( op(e0,e0) = e3
| e3 = op(e1,e1)
| e2 != op(e2,e3)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f180,plain,
( op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 = op(e2,e2)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f183,plain,
( e0 != op(e0,e2)
| e2 = op(e1,e1)
| e2 != op(e2,e2)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f184,plain,
( e0 != op(e0,e2)
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f186,plain,
( op(e0,e0) = e2
| e1 != op(e1,e2)
| e2 = op(e2,e2)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f187,plain,
( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 != op(e2,e2)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f188,plain,
( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f192,plain,
( e0 != op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f194,plain,
( op(e0,e0) = e1
| e1 != op(e1,e1)
| e1 = op(e2,e2)
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f195,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e2 != op(e2,e1)
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f196,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f200,plain,
( e0 != op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f202,plain,
( e0 = op(e0,e0)
| e1 != op(e1,e0)
| e0 = op(e2,e2)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f203,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e2 != op(e2,e0)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f204,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f214,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f39]) ).
fof(f220,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f225,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f226,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f227,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f228,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f230,definition,
( spl4_1
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f231,plain,
( op(e0,e0) = e1
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl4_2
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f235,plain,
( e2 = op(op(e0,e0),e0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( e2 != op(op(e0,e0),e0)
| spl4_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl4_3
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f239,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( e3 != op(e0,op(e0,e0))
| spl4_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f228,f238,f234,f230]) ).
fof(f243,definition,
( spl4_4
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f244,plain,
( e0 = op(e1,e1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl4_5
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f249,plain,
( e2 != op(op(e1,e1),e1)
| spl4_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl4_6
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f253,plain,
( e3 != op(e1,op(e1,e1))
| spl4_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f227,f251,f247,f243]) ).
fof(f256,definition,
( spl4_7
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f257,plain,
( op(e0,e0) = e2
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl4_8
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f262,plain,
( e1 != op(op(e0,e0),e0)
| spl4_8 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl4_7
| ~ spl4_8
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f226,f238,f260,f256]) ).
fof(f265,definition,
( spl4_9
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f266,plain,
( e0 = op(e2,e2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl4_10
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f271,plain,
( e1 != op(op(e2,e2),e2)
| spl4_10 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl4_11
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f275,plain,
( e3 != op(e2,op(e2,e2))
| spl4_11 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f225,f273,f269,f265]) ).
fof(f278,definition,
( spl4_12
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f279,plain,
( e2 = op(e1,e1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f287,definition,
( spl4_14
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f288,plain,
( e1 = op(e2,e2)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f300,definition,
( spl4_17
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f302,plain,
( e2 != op(e0,op(e0,e0))
| spl4_17 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f314,definition,
( spl4_20
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f315,plain,
( op(e0,e0) = e3
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( ~ spl4_20
| ~ spl4_8
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f220,f300,f260,f314]) ).
fof(f319,definition,
( spl4_21
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f320,plain,
( e0 = op(e3,e3)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f332,definition,
( spl4_24
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).
fof(f333,plain,
( e3 = op(e1,e1)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f337,definition,
( spl4_25
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f338,plain,
( e1 = op(e3,e3)
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f346,definition,
( spl4_27
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f348,plain,
( e1 != op(e0,op(e0,e0))
| spl4_27 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f359,plain,
( ~ spl4_20
| ~ spl4_2
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f214,f346,f234,f314]) ).
fof(f370,definition,
( spl4_32
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).
fof(f371,plain,
( e3 = op(e2,e2)
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f375,definition,
( spl4_33
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).
fof(f376,plain,
( e2 = op(e3,e3)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f398,definition,
( spl4_37
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).
fof(f402,definition,
( spl4_38
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_38])],[avatar_definition]) ).
fof(f403,plain,
( e2 = op(e2,e3)
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f406,definition,
( spl4_39
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).
fof(f410,definition,
( spl4_40
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).
fof(f416,plain,
( spl4_37
| spl4_32
| spl4_24
| ~ spl4_40 ),
inference(avatar_split_clause,[],[f176,f410,f332,f370,f398]) ).
fof(f418,plain,
( spl4_37
| spl4_32
| ~ spl4_39
| spl4_20 ),
inference(avatar_split_clause,[],[f178,f314,f406,f370,f398]) ).
fof(f419,plain,
( spl4_37
| ~ spl4_38
| spl4_24
| spl4_20 ),
inference(avatar_split_clause,[],[f179,f314,f332,f402,f398]) ).
fof(f420,plain,
( spl4_37
| spl4_32
| spl4_24
| spl4_20 ),
inference(avatar_split_clause,[],[f180,f314,f332,f370,f398]) ).
fof(f422,definition,
( spl4_41
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl4_41])],[avatar_definition]) ).
fof(f426,definition,
( spl4_42
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_42])],[avatar_definition]) ).
fof(f427,plain,
( e2 = op(e2,e2)
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl4_43
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_43])],[avatar_definition]) ).
fof(f431,plain,
( e1 = op(e1,e2)
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl4_44
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_44])],[avatar_definition]) ).
fof(f439,plain,
( spl4_41
| ~ spl4_42
| spl4_12
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f183,f434,f278,f426,f422]) ).
fof(f440,plain,
( spl4_41
| spl4_42
| spl4_12
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f184,f434,f278,f426,f422]) ).
fof(f442,plain,
( spl4_41
| spl4_42
| ~ spl4_43
| spl4_7 ),
inference(avatar_split_clause,[],[f186,f256,f430,f426,f422]) ).
fof(f443,plain,
( spl4_41
| ~ spl4_42
| spl4_12
| spl4_7 ),
inference(avatar_split_clause,[],[f187,f256,f278,f426,f422]) ).
fof(f444,plain,
( spl4_41
| spl4_42
| spl4_12
| spl4_7 ),
inference(avatar_split_clause,[],[f188,f256,f278,f426,f422]) ).
fof(f446,definition,
( spl4_45
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl4_45])],[avatar_definition]) ).
fof(f450,definition,
( spl4_46
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).
fof(f451,plain,
( e2 = op(e2,e1)
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl4_47
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_47])],[avatar_definition]) ).
fof(f455,plain,
( e1 = op(e1,e1)
| ~ spl4_47 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl4_48
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).
fof(f464,plain,
( spl4_45
| spl4_14
| spl4_47
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f192,f458,f454,f287,f446]) ).
fof(f466,plain,
( spl4_45
| spl4_14
| ~ spl4_47
| spl4_1 ),
inference(avatar_split_clause,[],[f194,f230,f454,f287,f446]) ).
fof(f467,plain,
( spl4_45
| ~ spl4_46
| spl4_47
| spl4_1 ),
inference(avatar_split_clause,[],[f195,f230,f454,f450,f446]) ).
fof(f468,plain,
( spl4_45
| spl4_14
| spl4_47
| spl4_1 ),
inference(avatar_split_clause,[],[f196,f230,f454,f287,f446]) ).
fof(f470,definition,
( spl4_49
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl4_49])],[avatar_definition]) ).
fof(f474,definition,
( spl4_50
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_50])],[avatar_definition]) ).
fof(f475,plain,
( e2 = op(e2,e0)
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( e2 != op(e2,e0)
| spl4_50 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f478,definition,
( spl4_51
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_51])],[avatar_definition]) ).
fof(f482,definition,
( spl4_52
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).
fof(f483,plain,
( e0 = op(e0,e0)
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f488,plain,
( spl4_49
| spl4_9
| spl4_4
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f200,f482,f243,f265,f470]) ).
fof(f490,plain,
( spl4_49
| spl4_9
| ~ spl4_51
| spl4_52 ),
inference(avatar_split_clause,[],[f202,f482,f478,f265,f470]) ).
fof(f491,plain,
( spl4_49
| ~ spl4_50
| spl4_4
| spl4_52 ),
inference(avatar_split_clause,[],[f203,f482,f243,f474,f470]) ).
fof(f492,plain,
( spl4_49
| spl4_9
| spl4_4
| spl4_52 ),
inference(avatar_split_clause,[],[f204,f482,f243,f265,f470]) ).
fof(f494,definition,
( spl4_53
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_53])],[avatar_definition]) ).
fof(f495,plain,
( e3 = op(e3,e3)
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f497,plain,
( ~ spl4_37
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f171,f494,f398]) ).
fof(f498,plain,
( ~ spl4_37
| spl4_53 ),
inference(avatar_split_clause,[],[f172,f494,f398]) ).
fof(f500,definition,
( spl4_54
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).
fof(f501,plain,
( e3 = op(e3,e2)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f503,plain,
( ~ spl4_41
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f169,f500,f422]) ).
fof(f504,plain,
( ~ spl4_41
| spl4_33 ),
inference(avatar_split_clause,[],[f170,f375,f422]) ).
fof(f506,definition,
( spl4_55
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_55])],[avatar_definition]) ).
fof(f507,plain,
( e3 = op(e3,e1)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl4_45
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f167,f506,f446]) ).
fof(f510,plain,
( ~ spl4_45
| spl4_25 ),
inference(avatar_split_clause,[],[f168,f337,f446]) ).
fof(f512,definition,
( spl4_56
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).
fof(f513,plain,
( e3 = op(e3,e0)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,plain,
( ~ spl4_49
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f165,f512,f470]) ).
fof(f516,plain,
( ~ spl4_49
| spl4_21 ),
inference(avatar_split_clause,[],[f166,f319,f470]) ).
fof(f518,definition,
( spl4_57
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).
fof(f520,plain,
( e3 = op(e2,e3)
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl4_58
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_58])],[avatar_definition]) ).
fof(f524,plain,
( e3 = op(e1,e3)
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl4_59
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_59])],[avatar_definition]) ).
fof(f528,plain,
( e3 = op(e0,e3)
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,plain,
( spl4_53
| spl4_57
| spl4_58
| spl4_59 ),
inference(avatar_split_clause,[],[f79,f526,f522,f518,f494]) ).
fof(f530,plain,
( spl4_53
| spl4_54
| spl4_55
| spl4_56 ),
inference(avatar_split_clause,[],[f80,f512,f506,f500,f494]) ).
fof(f532,definition,
( spl4_60
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_60])],[avatar_definition]) ).
fof(f536,definition,
( spl4_61
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_61])],[avatar_definition]) ).
fof(f539,plain,
( spl4_33
| spl4_38
| spl4_60
| spl4_61 ),
inference(avatar_split_clause,[],[f81,f536,f532,f402,f375]) ).
fof(f541,definition,
( spl4_62
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_62])],[avatar_definition]) ).
fof(f543,plain,
( e2 = op(e3,e2)
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl4_63
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).
fof(f547,plain,
( e2 = op(e3,e1)
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl4_64
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).
fof(f551,plain,
( e2 = op(e3,e0)
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
( spl4_33
| spl4_62
| spl4_63
| spl4_64 ),
inference(avatar_split_clause,[],[f82,f549,f545,f541,f375]) ).
fof(f554,definition,
( spl4_65
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).
fof(f556,plain,
( e1 = op(e2,e3)
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl4_66
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_66])],[avatar_definition]) ).
fof(f561,plain,
( spl4_25
| spl4_65
| spl4_39
| spl4_66 ),
inference(avatar_split_clause,[],[f83,f558,f406,f554,f337]) ).
fof(f563,definition,
( spl4_67
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_67])],[avatar_definition]) ).
fof(f565,plain,
( e1 = op(e3,e2)
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl4_68
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_68])],[avatar_definition]) ).
fof(f569,plain,
( e1 = op(e3,e1)
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f571,definition,
( spl4_69
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_69])],[avatar_definition]) ).
fof(f573,plain,
( e1 = op(e3,e0)
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl4_25
| spl4_67
| spl4_68
| spl4_69 ),
inference(avatar_split_clause,[],[f84,f571,f567,f563,f337]) ).
fof(f576,definition,
( spl4_70
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_70])],[avatar_definition]) ).
fof(f580,definition,
( spl4_71
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_71])],[avatar_definition]) ).
fof(f582,plain,
( e0 = op(e1,e3)
| ~ spl4_71 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
( spl4_21
| spl4_70
| spl4_71
| spl4_40 ),
inference(avatar_split_clause,[],[f85,f410,f580,f576,f319]) ).
fof(f585,definition,
( spl4_72
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_72])],[avatar_definition]) ).
fof(f587,plain,
( e0 = op(e3,e2)
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f593,definition,
( spl4_74
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).
fof(f598,definition,
( spl4_75
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_75])],[avatar_definition]) ).
fof(f602,definition,
( spl4_76
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_76])],[avatar_definition]) ).
fof(f605,plain,
( spl4_54
| spl4_32
| spl4_75
| spl4_76 ),
inference(avatar_split_clause,[],[f87,f602,f598,f370,f500]) ).
fof(f607,definition,
( spl4_77
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_77])],[avatar_definition]) ).
fof(f611,definition,
( spl4_78
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_78])],[avatar_definition]) ).
fof(f613,plain,
( e3 = op(e2,e0)
| ~ spl4_78 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f616,definition,
( spl4_79
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_79])],[avatar_definition]) ).
fof(f618,plain,
( e2 = op(e1,e2)
| ~ spl4_79 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl4_80
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_80])],[avatar_definition]) ).
fof(f622,plain,
( e2 = op(e0,e2)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,plain,
( spl4_38
| spl4_42
| spl4_46
| spl4_50 ),
inference(avatar_split_clause,[],[f90,f474,f450,f426,f402]) ).
fof(f626,definition,
( spl4_81
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_81])],[avatar_definition]) ).
fof(f631,definition,
( spl4_82
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_82])],[avatar_definition]) ).
fof(f633,plain,
( e1 = op(e2,e1)
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl4_83
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
fof(f637,plain,
( e1 = op(e2,e0)
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f638,plain,
( spl4_65
| spl4_14
| spl4_82
| spl4_83 ),
inference(avatar_split_clause,[],[f92,f635,f631,f287,f554]) ).
fof(f640,definition,
( spl4_84
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).
fof(f643,plain,
( spl4_72
| spl4_9
| spl4_84
| spl4_44 ),
inference(avatar_split_clause,[],[f93,f434,f640,f265,f585]) ).
fof(f645,definition,
( spl4_85
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_85])],[avatar_definition]) ).
fof(f649,definition,
( spl4_86
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_86])],[avatar_definition]) ).
fof(f654,definition,
( spl4_87
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_87])],[avatar_definition]) ).
fof(f656,plain,
( e3 = op(e0,e1)
| ~ spl4_87 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f659,definition,
( spl4_88
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_88])],[avatar_definition]) ).
fof(f661,plain,
( e3 = op(e1,e0)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f664,definition,
( spl4_89
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_89])],[avatar_definition]) ).
fof(f666,plain,
( e2 = op(e0,e1)
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,plain,
( spl4_63
| spl4_46
| spl4_12
| spl4_89 ),
inference(avatar_split_clause,[],[f97,f664,f278,f450,f545]) ).
fof(f669,definition,
( spl4_90
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_90])],[avatar_definition]) ).
fof(f672,plain,
( spl4_60
| spl4_79
| spl4_12
| spl4_90 ),
inference(avatar_split_clause,[],[f98,f669,f278,f616,f532]) ).
fof(f674,definition,
( spl4_91
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_91])],[avatar_definition]) ).
fof(f678,plain,
( spl4_39
| spl4_43
| spl4_47
| spl4_51 ),
inference(avatar_split_clause,[],[f100,f478,f454,f430,f406]) ).
fof(f681,definition,
( spl4_92
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_92])],[avatar_definition]) ).
fof(f685,plain,
( spl4_56
| spl4_78
| spl4_88
| spl4_20 ),
inference(avatar_split_clause,[],[f103,f314,f659,f611,f512]) ).
fof(f687,plain,
( spl4_64
| spl4_50
| spl4_90
| spl4_7 ),
inference(avatar_split_clause,[],[f105,f256,f669,f474,f549]) ).
fof(f688,plain,
( spl4_61
| spl4_80
| spl4_89
| spl4_7 ),
inference(avatar_split_clause,[],[f106,f256,f664,f620,f536]) ).
fof(f690,plain,
( spl4_66
| spl4_81
| spl4_91
| spl4_1 ),
inference(avatar_split_clause,[],[f108,f230,f674,f626,f558]) ).
fof(f696,plain,
( spl4_56
| spl4_64
| spl4_69
| spl4_74 ),
inference(avatar_split_clause,[],[f66,f593,f571,f549,f512]) ).
fof(f697,plain,
( spl4_57
| spl4_38
| spl4_65
| spl4_70 ),
inference(avatar_split_clause,[],[f67,f576,f554,f402,f518]) ).
fof(f699,plain,
( spl4_77
| spl4_46
| spl4_82
| spl4_85 ),
inference(avatar_split_clause,[],[f69,f645,f631,f450,f607]) ).
fof(f700,plain,
( spl4_78
| spl4_50
| spl4_83
| spl4_86 ),
inference(avatar_split_clause,[],[f70,f649,f635,f474,f611]) ).
fof(f702,plain,
( spl4_75
| spl4_79
| spl4_43
| spl4_84 ),
inference(avatar_split_clause,[],[f72,f640,f430,f616,f598]) ).
fof(f704,plain,
( spl4_88
| spl4_90
| spl4_51
| spl4_92 ),
inference(avatar_split_clause,[],[f74,f681,f478,f669,f659]) ).
fof(f706,plain,
( spl4_76
| spl4_80
| spl4_81
| spl4_44 ),
inference(avatar_split_clause,[],[f76,f434,f626,f620,f602]) ).
fof(f707,plain,
( spl4_87
| spl4_89
| spl4_91
| spl4_48 ),
inference(avatar_split_clause,[],[f77,f458,f674,f664,f654]) ).
fof(f709,plain,
( e0 = e3
| ~ spl4_4
| ~ spl4_24 ),
inference(forward_demodulation,[],[f333,f244]) ).
fof(f710,plain,
( $false
| ~ spl4_4
| ~ spl4_24 ),
inference(forward_subsumption_resolution,[],[f709,f162]) ).
fof(f711,plain,
( ~ spl4_4
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f713,plain,
( e0 = e1
| ~ spl4_21
| ~ spl4_25 ),
inference(forward_demodulation,[],[f338,f320]) ).
fof(f714,plain,
( $false
| ~ spl4_21
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f713,f164]) ).
fof(f715,plain,
( ~ spl4_21
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f717,plain,
( e1 = e3
| ~ spl4_1
| ~ spl4_20 ),
inference(superposition,[],[f231,f315]) ).
fof(f721,plain,
( $false
| ~ spl4_1
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f717,f160]) ).
fof(f722,plain,
( ~ spl4_1
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f724,plain,
( e0 = e3
| ~ spl4_9
| ~ spl4_32 ),
inference(forward_demodulation,[],[f371,f266]) ).
fof(f725,plain,
( $false
| ~ spl4_9
| ~ spl4_32 ),
inference(forward_subsumption_resolution,[],[f724,f162]) ).
fof(f726,plain,
( ~ spl4_9
| ~ spl4_32 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f728,plain,
( e0 = e2
| ~ spl4_21
| ~ spl4_33 ),
inference(forward_demodulation,[],[f376,f320]) ).
fof(f729,plain,
( $false
| ~ spl4_21
| ~ spl4_33 ),
inference(forward_subsumption_resolution,[],[f728,f163]) ).
fof(f730,plain,
( ~ spl4_21
| ~ spl4_33 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f740,plain,
( e2 = e3
| ~ spl4_33
| ~ spl4_53 ),
inference(forward_demodulation,[],[f495,f376]) ).
fof(f741,plain,
( $false
| ~ spl4_33
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f740,f159]) ).
fof(f742,plain,
( ~ spl4_33
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f761,plain,
( e1 = e3
| ~ spl4_57
| ~ spl4_65 ),
inference(superposition,[],[f556,f520]) ).
fof(f766,plain,
( $false
| ~ spl4_57
| ~ spl4_65 ),
inference(forward_subsumption_resolution,[],[f761,f160]) ).
fof(f767,plain,
( ~ spl4_57
| ~ spl4_65 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f799,plain,
( e1 = e3
| ~ spl4_14
| ~ spl4_32 ),
inference(superposition,[],[f288,f371]) ).
fof(f804,plain,
( $false
| ~ spl4_14
| ~ spl4_32 ),
inference(forward_subsumption_resolution,[],[f799,f160]) ).
fof(f805,plain,
( ~ spl4_14
| ~ spl4_32 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f826,plain,
( e1 = e2
| ~ spl4_25
| ~ spl4_33 ),
inference(superposition,[],[f338,f376]) ).
fof(f831,plain,
( $false
| ~ spl4_25
| ~ spl4_33 ),
inference(forward_subsumption_resolution,[],[f826,f161]) ).
fof(f832,plain,
( ~ spl4_25
| ~ spl4_33 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f841,plain,
( e0 = e2
| ~ spl4_4
| ~ spl4_12 ),
inference(forward_demodulation,[],[f279,f244]) ).
fof(f845,plain,
( $false
| ~ spl4_4
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f841,f163]) ).
fof(f846,plain,
( ~ spl4_4
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f858,plain,
( e0 = e1
| ~ spl4_9
| ~ spl4_14 ),
inference(forward_demodulation,[],[f288,f266]) ).
fof(f859,plain,
( $false
| ~ spl4_9
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f858,f164]) ).
fof(f860,plain,
( ~ spl4_9
| ~ spl4_14 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f861,plain,
( e1 = e2
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_demodulation,[],[f257,f231]) ).
fof(f862,plain,
( $false
| ~ spl4_1
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f861,f161]) ).
fof(f863,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f906,plain,
( e1 = e3
| ~ spl4_25
| ~ spl4_53 ),
inference(forward_demodulation,[],[f495,f338]) ).
fof(f908,plain,
( $false
| ~ spl4_25
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f906,f160]) ).
fof(f909,plain,
( ~ spl4_25
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f910,plain,
( e2 = e3
| ~ spl4_7
| ~ spl4_20 ),
inference(forward_demodulation,[],[f315,f257]) ).
fof(f912,plain,
( $false
| ~ spl4_7
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f910,f159]) ).
fof(f913,plain,
( ~ spl4_7
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f912]) ).
fof(f990,plain,
( e1 = e3
| ~ spl4_78
| ~ spl4_83 ),
inference(superposition,[],[f637,f613]) ).
fof(f995,plain,
( $false
| ~ spl4_78
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f990,f160]) ).
fof(f996,plain,
( ~ spl4_78
| ~ spl4_83 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f1076,plain,
( e2 = e3
| ~ spl4_55
| ~ spl4_63 ),
inference(superposition,[],[f547,f507]) ).
fof(f1080,plain,
( $false
| ~ spl4_55
| ~ spl4_63 ),
inference(forward_subsumption_resolution,[],[f1076,f159]) ).
fof(f1081,plain,
( ~ spl4_55
| ~ spl4_63 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1091,plain,
( e2 = e3
| ~ spl4_12
| ~ spl4_24 ),
inference(forward_demodulation,[],[f333,f279]) ).
fof(f1092,plain,
( $false
| ~ spl4_12
| ~ spl4_24 ),
inference(forward_subsumption_resolution,[],[f1091,f159]) ).
fof(f1093,plain,
( ~ spl4_12
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1095,plain,
( e0 = e3
| ~ spl4_54
| ~ spl4_72 ),
inference(forward_demodulation,[],[f501,f587]) ).
fof(f1096,plain,
( $false
| ~ spl4_54
| ~ spl4_72 ),
inference(forward_subsumption_resolution,[],[f1095,f162]) ).
fof(f1097,plain,
( ~ spl4_54
| ~ spl4_72 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1104,plain,
( e0 = e1
| ~ spl4_4
| ~ spl4_47 ),
inference(forward_demodulation,[],[f455,f244]) ).
fof(f1105,plain,
( $false
| ~ spl4_4
| ~ spl4_47 ),
inference(forward_subsumption_resolution,[],[f1104,f164]) ).
fof(f1106,plain,
( ~ spl4_4
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1113,plain,
( e1 = e2
| ~ spl4_12
| ~ spl4_47 ),
inference(superposition,[],[f455,f279]) ).
fof(f1118,plain,
( $false
| ~ spl4_12
| ~ spl4_47 ),
inference(forward_subsumption_resolution,[],[f1113,f161]) ).
fof(f1119,plain,
( ~ spl4_12
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1138,plain,
( e2 = e3
| ~ spl4_54
| ~ spl4_62 ),
inference(superposition,[],[f501,f543]) ).
fof(f1139,plain,
( $false
| ~ spl4_54
| ~ spl4_62 ),
inference(forward_subsumption_resolution,[],[f1138,f159]) ).
fof(f1140,plain,
( ~ spl4_54
| ~ spl4_62 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1301,plain,
( e3 != op(e1,e1)
| ~ spl4_58 ),
inference(forward_demodulation,[],[f124,f524]) ).
fof(f1307,plain,
( e1 != op(e1,e0)
| ~ spl4_43 ),
inference(forward_demodulation,[],[f127,f431]) ).
fof(f1308,plain,
( e0 != op(e1,e0)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f128,f244]) ).
fof(f1316,plain,
( op(e0,e0) != e2
| ~ spl4_80 ),
inference(forward_demodulation,[],[f133,f622]) ).
fof(f1321,plain,
( e2 != op(e1,e3)
| ~ spl4_33 ),
inference(forward_demodulation,[],[f136,f376]) ).
fof(f1323,plain,
( e1 != op(e1,e3)
| ~ spl4_65 ),
inference(forward_demodulation,[],[f137,f556]) ).
fof(f1324,plain,
( e2 != op(e0,e3)
| ~ spl4_33 ),
inference(forward_demodulation,[],[f138,f376]) ).
fof(f1336,plain,
( e3 != op(e0,e2)
| ~ spl4_32 ),
inference(forward_demodulation,[],[f145,f371]) ).
fof(f1345,plain,
( e1 != op(e0,e1)
| ~ spl4_68 ),
inference(forward_demodulation,[],[f150,f569]) ).
fof(f1347,plain,
( e2 != op(e0,e1)
| ~ spl4_46 ),
inference(forward_demodulation,[],[f151,f451]) ).
fof(f1350,plain,
( e3 != op(e2,e0)
| ~ spl4_56 ),
inference(forward_demodulation,[],[f153,f513]) ).
fof(f1351,plain,
( e3 != op(e1,e0)
| ~ spl4_56 ),
inference(forward_demodulation,[],[f154,f513]) ).
fof(f1355,plain,
( op(e0,e0) != e3
| ~ spl4_56 ),
inference(forward_demodulation,[],[f156,f513]) ).
fof(f1361,plain,
( e2 != op(e1,e0)
| ~ spl4_1
| spl4_2 ),
inference(forward_demodulation,[],[f236,f231]) ).
fof(f1364,plain,
( e2 = op(e1,e0)
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_demodulation,[],[f235,f231]) ).
fof(f1365,plain,
( e3 != op(e0,e1)
| ~ spl4_1
| spl4_3 ),
inference(forward_demodulation,[],[f240,f231]) ).
fof(f1366,plain,
( $false
| ~ spl4_1
| spl4_3
| ~ spl4_87 ),
inference(forward_subsumption_resolution,[],[f1365,f656]) ).
fof(f1367,plain,
( ~ spl4_1
| spl4_3
| ~ spl4_87 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1369,plain,
( ~ spl4_90
| ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f1361,f234,f230,f669]) ).
fof(f1370,plain,
( ~ spl4_92
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f1308,f243,f681]) ).
fof(f1371,plain,
( e1 != op(e1,e0)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f158,f231]) ).
fof(f1372,plain,
( e1 != op(e0,e1)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f134,f231]) ).
fof(f1373,plain,
( ~ spl4_89
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f1347,f450,f664]) ).
fof(f1379,plain,
( e3 != op(e2,e3)
| ~ spl4_32 ),
inference(forward_demodulation,[],[f117,f371]) ).
fof(f1382,plain,
( ~ spl4_60
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f1321,f375,f532]) ).
fof(f1385,plain,
( e0 != op(e1,e2)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f125,f244]) ).
fof(f1387,plain,
( e1 != op(e0,e3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f132,f231]) ).
fof(f1388,plain,
( ~ spl4_61
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f1324,f375,f536]) ).
fof(f1389,plain,
( ~ spl4_91
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f1372,f230,f674]) ).
fof(f1395,plain,
( ~ spl4_84
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f1385,f243,f640]) ).
fof(f1396,plain,
( ~ spl4_66
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f1387,f230,f558]) ).
fof(f1398,plain,
( e0 != op(e2,e1)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f149,f244]) ).
fof(f1399,plain,
( ~ spl4_85
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f1398,f243,f645]) ).
fof(f1450,plain,
( e3 != op(e0,e2)
| ~ spl4_59 ),
inference(forward_demodulation,[],[f129,f528]) ).
fof(f1461,plain,
( e2 != op(e0,e2)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f146,f618]) ).
fof(f1463,plain,
( e3 != op(e2,e1)
| ~ spl4_55 ),
inference(forward_demodulation,[],[f147,f507]) ).
fof(f1465,plain,
( e1 != op(e0,e1)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f151,f633]) ).
fof(f1471,plain,
( e2 != op(e1,e0)
| ~ spl4_50 ),
inference(forward_demodulation,[],[f155,f475]) ).
fof(f1473,plain,
( e2 != op(e0,e1)
| ~ spl4_4
| spl4_5 ),
inference(forward_demodulation,[],[f249,f244]) ).
fof(f1474,plain,
( $false
| ~ spl4_4
| spl4_5
| ~ spl4_89 ),
inference(forward_subsumption_resolution,[],[f1473,f666]) ).
fof(f1475,plain,
( ~ spl4_4
| spl4_5
| ~ spl4_89 ),
inference(avatar_contradiction_clause,[],[f1474]) ).
fof(f1477,plain,
( e3 != op(e1,e0)
| ~ spl4_4
| spl4_6 ),
inference(forward_demodulation,[],[f253,f244]) ).
fof(f1478,plain,
( $false
| ~ spl4_4
| spl4_6
| ~ spl4_88 ),
inference(forward_subsumption_resolution,[],[f1477,f661]) ).
fof(f1479,plain,
( ~ spl4_4
| spl4_6
| ~ spl4_88 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1481,plain,
( spl4_90
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f1364,f234,f230,f669]) ).
fof(f1485,plain,
( ~ spl4_78
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1350,f512,f611]) ).
fof(f1486,plain,
( ~ spl4_88
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1351,f512,f659]) ).
fof(f1488,plain,
( ~ spl4_24
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f1301,f522,f332]) ).
fof(f1493,plain,
( ~ spl4_39
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f1323,f554,f406]) ).
fof(f1505,plain,
( ~ spl4_51
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f1371,f230,f478]) ).
fof(f1509,plain,
( ~ spl4_80
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f1461,f616,f620]) ).
fof(f1512,plain,
( e1 != op(e2,e2)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f119,f633]) ).
fof(f1514,plain,
( e1 != op(e2,e2)
| ~ spl4_67 ),
inference(forward_demodulation,[],[f141,f565]) ).
fof(f1516,plain,
( e2 != op(e1,e1)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f125,f618]) ).
fof(f1525,plain,
( ~ spl4_12
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f1516,f616,f278]) ).
fof(f1528,plain,
( ~ spl4_51
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f1307,f430,f478]) ).
fof(f1530,plain,
( ~ spl4_76
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f1450,f526,f602]) ).
fof(f1536,plain,
( ~ spl4_7
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1316,f620,f256]) ).
fof(f1537,plain,
( ~ spl4_20
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1355,f512,f314]) ).
fof(f1688,plain,
( e3 != op(e3,e0)
| ~ spl4_54 ),
inference(forward_demodulation,[],[f115,f501]) ).
fof(f1696,plain,
( e2 != op(e2,e0)
| ~ spl4_38 ),
inference(forward_demodulation,[],[f120,f403]) ).
fof(f1697,plain,
( e0 != op(e2,e0)
| ~ spl4_9 ),
inference(forward_demodulation,[],[f121,f266]) ).
fof(f1705,plain,
( e0 != op(e1,e0)
| ~ spl4_71 ),
inference(forward_demodulation,[],[f126,f582]) ).
fof(f1709,plain,
( e3 != op(e1,e0)
| ~ spl4_24 ),
inference(forward_demodulation,[],[f128,f333]) ).
fof(f1720,plain,
( e1 != op(e2,e3)
| ~ spl4_25 ),
inference(forward_demodulation,[],[f135,f338]) ).
fof(f1724,plain,
( e1 != op(e0,e3)
| ~ spl4_25 ),
inference(forward_demodulation,[],[f138,f338]) ).
fof(f1731,plain,
( e3 != op(e1,e2)
| ~ spl4_54 ),
inference(forward_demodulation,[],[f142,f501]) ).
fof(f1732,plain,
( e0 != op(e1,e2)
| ~ spl4_9 ),
inference(forward_demodulation,[],[f143,f266]) ).
fof(f1734,plain,
( e3 != op(e0,e2)
| ~ spl4_54 ),
inference(forward_demodulation,[],[f144,f501]) ).
fof(f1757,plain,
( e2 = op(e2,e0)
| ~ spl4_2
| ~ spl4_7 ),
inference(forward_demodulation,[],[f235,f257]) ).
fof(f1758,plain,
( $false
| ~ spl4_2
| ~ spl4_7
| spl4_50 ),
inference(forward_subsumption_resolution,[],[f1757,f476]) ).
fof(f1759,plain,
( ~ spl4_2
| ~ spl4_7
| spl4_50 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1761,plain,
( e3 != op(e0,e2)
| spl4_3
| ~ spl4_7 ),
inference(forward_demodulation,[],[f240,f257]) ).
fof(f1762,plain,
( e1 != op(e2,e0)
| ~ spl4_7
| spl4_8 ),
inference(forward_demodulation,[],[f262,f257]) ).
fof(f1764,plain,
( e1 != op(e0,e2)
| ~ spl4_9
| spl4_10 ),
inference(forward_demodulation,[],[f271,f266]) ).
fof(f1768,plain,
( e3 != op(e2,e0)
| ~ spl4_9
| spl4_11 ),
inference(forward_demodulation,[],[f275,f266]) ).
fof(f1775,plain,
( ~ spl4_86
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1697,f265,f649]) ).
fof(f1777,plain,
( ~ spl4_83
| ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f1762,f260,f256,f635]) ).
fof(f1778,plain,
( ~ spl4_78
| ~ spl4_9
| spl4_11 ),
inference(avatar_split_clause,[],[f1768,f273,f265,f611]) ).
fof(f1780,plain,
( ~ spl4_92
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f1705,f580,f681]) ).
fof(f1781,plain,
( ~ spl4_88
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f1709,f332,f659]) ).
fof(f1782,plain,
( e2 != op(e1,e0)
| ~ spl4_7 ),
inference(forward_demodulation,[],[f158,f257]) ).
fof(f1785,plain,
( ~ spl4_90
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1782,f256,f669]) ).
fof(f1788,plain,
( ~ spl4_81
| ~ spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f1764,f269,f265,f626]) ).
fof(f1797,plain,
( e3 != op(e1,e2)
| ~ spl4_24 ),
inference(forward_demodulation,[],[f125,f333]) ).
fof(f1798,plain,
( ~ spl4_84
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1732,f265,f640]) ).
fof(f1799,plain,
( ~ spl4_76
| spl4_3
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1761,f256,f238,f602]) ).
fof(f1804,plain,
( ~ spl4_66
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f1724,f337,f558]) ).
fof(f1807,plain,
( e2 != op(e0,e1)
| ~ spl4_7 ),
inference(forward_demodulation,[],[f134,f257]) ).
fof(f1808,plain,
( e0 != op(e2,e3)
| ~ spl4_9 ),
inference(forward_demodulation,[],[f117,f266]) ).
fof(f1809,plain,
( ~ spl4_65
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f1720,f337,f554]) ).
fof(f1813,plain,
( ~ spl4_89
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1807,f256,f664]) ).
fof(f1814,plain,
( ~ spl4_70
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1808,f265,f576]) ).
fof(f1821,plain,
( ~ spl4_75
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f1797,f332,f598]) ).
fof(f1822,plain,
( e3 = op(e0,e2)
| ~ spl4_3
| ~ spl4_7 ),
inference(forward_demodulation,[],[f239,f257]) ).
fof(f1824,plain,
( ~ spl4_56
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f1688,f500,f512]) ).
fof(f1826,plain,
( ~ spl4_76
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f1734,f500,f602]) ).
fof(f1827,plain,
( ~ spl4_75
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f1731,f500,f598]) ).
fof(f1831,plain,
( spl4_76
| ~ spl4_3
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1822,f256,f238,f602]) ).
fof(f1836,plain,
( e1 = e2
| ~ spl4_14
| ~ spl4_42 ),
inference(forward_demodulation,[],[f427,f288]) ).
fof(f1837,plain,
( $false
| ~ spl4_14
| ~ spl4_42 ),
inference(forward_subsumption_resolution,[],[f1836,f161]) ).
fof(f1838,plain,
( ~ spl4_14
| ~ spl4_42 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1845,plain,
( e1 = e3
| ~ spl4_24
| ~ spl4_47 ),
inference(superposition,[],[f455,f333]) ).
fof(f1851,plain,
( $false
| ~ spl4_24
| ~ spl4_47 ),
inference(forward_subsumption_resolution,[],[f1845,f160]) ).
fof(f1852,plain,
( ~ spl4_24
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f1851]) ).
fof(f1854,plain,
( e0 = e2
| ~ spl4_7
| ~ spl4_52 ),
inference(superposition,[],[f483,f257]) ).
fof(f1859,plain,
( $false
| ~ spl4_7
| ~ spl4_52 ),
inference(forward_subsumption_resolution,[],[f1854,f163]) ).
fof(f1860,plain,
( ~ spl4_7
| ~ spl4_52 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1861,plain,
( ~ spl4_57
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f1379,f370,f518]) ).
fof(f1862,plain,
( ~ spl4_76
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f1336,f370,f602]) ).
fof(f1867,plain,
( ~ spl4_14
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f1514,f563,f287]) ).
fof(f1868,plain,
( ~ spl4_14
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f1512,f631,f287]) ).
fof(f1869,plain,
( ~ spl4_91
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f1465,f631,f674]) ).
fof(f1872,plain,
( ~ spl4_90
| ~ spl4_50 ),
inference(avatar_split_clause,[],[f1471,f474,f669]) ).
fof(f1881,plain,
( e2 = e3
| ~ spl4_32
| ~ spl4_42 ),
inference(superposition,[],[f427,f371]) ).
fof(f1887,plain,
( $false
| ~ spl4_32
| ~ spl4_42 ),
inference(forward_subsumption_resolution,[],[f1881,f159]) ).
fof(f1888,plain,
( ~ spl4_32
| ~ spl4_42 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1897,plain,
( e0 = e3
| ~ spl4_21
| ~ spl4_53 ),
inference(forward_demodulation,[],[f495,f320]) ).
fof(f1898,plain,
( $false
| ~ spl4_21
| ~ spl4_53 ),
inference(forward_subsumption_resolution,[],[f1897,f162]) ).
fof(f1899,plain,
( ~ spl4_21
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1903,plain,
( ~ spl4_77
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f1463,f506,f607]) ).
fof(f1915,plain,
( e1 = e2
| ~ spl4_64
| ~ spl4_69 ),
inference(superposition,[],[f573,f551]) ).
fof(f1920,plain,
( $false
| ~ spl4_64
| ~ spl4_69 ),
inference(forward_subsumption_resolution,[],[f1915,f161]) ).
fof(f1921,plain,
( ~ spl4_64
| ~ spl4_69 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1966,plain,
( e0 != op(e3,e0)
| ~ spl4_21 ),
inference(forward_demodulation,[],[f114,f320]) ).
fof(f1989,plain,
( e2 != op(e1,e0)
| ~ spl4_12 ),
inference(forward_demodulation,[],[f128,f279]) ).
fof(f1998,plain,
( e0 != op(e2,e3)
| ~ spl4_21 ),
inference(forward_demodulation,[],[f135,f320]) ).
fof(f2013,plain,
( e1 != op(e0,e2)
| ~ spl4_14 ),
inference(forward_demodulation,[],[f145,f288]) ).
fof(f2033,plain,
( e2 != op(e3,e0)
| spl4_2
| ~ spl4_20 ),
inference(forward_demodulation,[],[f236,f315]) ).
fof(f2039,plain,
( e1 != op(e3,e0)
| spl4_8
| ~ spl4_20 ),
inference(forward_demodulation,[],[f262,f315]) ).
fof(f2043,plain,
( e2 != op(e0,e3)
| spl4_17
| ~ spl4_20 ),
inference(forward_demodulation,[],[f302,f315]) ).
fof(f2046,plain,
( ~ spl4_50
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f1696,f402,f474]) ).
fof(f2056,plain,
( ~ spl4_91
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f1345,f567,f674]) ).
fof(f2058,plain,
( ~ spl4_90
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1989,f278,f669]) ).
fof(f2059,plain,
( e3 != op(e1,e0)
| ~ spl4_20 ),
inference(forward_demodulation,[],[f158,f315]) ).
fof(f2063,plain,
( ~ spl4_74
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1966,f319,f593]) ).
fof(f2065,plain,
( ~ spl4_64
| spl4_2
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f2033,f314,f234,f549]) ).
fof(f2070,plain,
( ~ spl4_61
| spl4_17
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f2043,f314,f300,f536]) ).
fof(f2072,plain,
( ~ spl4_70
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1998,f319,f576]) ).
fof(f2074,plain,
( e2 != op(e3,e1)
| ~ spl4_12 ),
inference(forward_demodulation,[],[f148,f279]) ).
fof(f2078,plain,
( ~ spl4_81
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f2013,f287,f626]) ).
fof(f2079,plain,
( e2 != op(e1,e3)
| ~ spl4_12 ),
inference(forward_demodulation,[],[f124,f279]) ).
fof(f2081,plain,
( ~ spl4_88
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f2059,f314,f659]) ).
fof(f2083,plain,
( ~ spl4_63
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f2074,f278,f545]) ).
fof(f2086,plain,
( ~ spl4_60
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f2079,f278,f532]) ).
fof(f2087,plain,
( e2 = op(e3,e0)
| ~ spl4_2
| ~ spl4_20 ),
inference(forward_demodulation,[],[f235,f315]) ).
fof(f2089,plain,
( ~ spl4_69
| spl4_8
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f2039,f314,f260,f571]) ).
fof(f2090,plain,
( e1 != op(e0,e3)
| ~ spl4_20
| spl4_27 ),
inference(forward_demodulation,[],[f348,f315]) ).
fof(f2091,plain,
( spl4_64
| ~ spl4_2
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f2087,f314,f234,f549]) ).
fof(f2092,plain,
( ~ spl4_66
| ~ spl4_20
| spl4_27 ),
inference(avatar_split_clause,[],[f2090,f346,f314,f558]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f241]) ).
cnf(s2,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f254]) ).
cnf(s3,plain,
( ~ spl4_3
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f263]) ).
cnf(s4,plain,
( ~ spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(sat_conversion,[],[f276]) ).
cnf(s9,plain,
( ~ spl4_8
| ~ spl4_17
| ~ spl4_20 ),
inference(sat_conversion,[],[f317]) ).
cnf(s15,plain,
( ~ spl4_2
| ~ spl4_20
| ~ spl4_27 ),
inference(sat_conversion,[],[f359]) ).
cnf(s28,plain,
( spl4_24
| spl4_32
| spl4_37
| ~ spl4_40 ),
inference(sat_conversion,[],[f416]) ).
cnf(s30,plain,
( spl4_20
| spl4_32
| spl4_37
| ~ spl4_39 ),
inference(sat_conversion,[],[f418]) ).
cnf(s31,plain,
( spl4_20
| spl4_24
| spl4_37
| ~ spl4_38 ),
inference(sat_conversion,[],[f419]) ).
cnf(s32,plain,
( spl4_20
| spl4_24
| spl4_32
| spl4_37 ),
inference(sat_conversion,[],[f420]) ).
cnf(s35,plain,
( spl4_12
| spl4_41
| ~ spl4_42
| ~ spl4_44 ),
inference(sat_conversion,[],[f439]) ).
cnf(s36,plain,
( spl4_12
| spl4_41
| spl4_42
| ~ spl4_44 ),
inference(sat_conversion,[],[f440]) ).
cnf(s38,plain,
( spl4_7
| spl4_41
| spl4_42
| ~ spl4_43 ),
inference(sat_conversion,[],[f442]) ).
cnf(s39,plain,
( spl4_7
| spl4_12
| spl4_41
| ~ spl4_42 ),
inference(sat_conversion,[],[f443]) ).
cnf(s40,plain,
( spl4_7
| spl4_12
| spl4_41
| spl4_42 ),
inference(sat_conversion,[],[f444]) ).
cnf(s44,plain,
( spl4_14
| spl4_45
| spl4_47
| ~ spl4_48 ),
inference(sat_conversion,[],[f464]) ).
cnf(s46,plain,
( spl4_1
| spl4_14
| spl4_45
| ~ spl4_47 ),
inference(sat_conversion,[],[f466]) ).
cnf(s47,plain,
( spl4_1
| spl4_45
| ~ spl4_46
| spl4_47 ),
inference(sat_conversion,[],[f467]) ).
cnf(s48,plain,
( spl4_1
| spl4_14
| spl4_45
| spl4_47 ),
inference(sat_conversion,[],[f468]) ).
cnf(s52,plain,
( spl4_4
| spl4_9
| spl4_49
| ~ spl4_52 ),
inference(sat_conversion,[],[f488]) ).
cnf(s54,plain,
( spl4_9
| spl4_49
| ~ spl4_51
| spl4_52 ),
inference(sat_conversion,[],[f490]) ).
cnf(s55,plain,
( spl4_4
| spl4_49
| ~ spl4_50
| spl4_52 ),
inference(sat_conversion,[],[f491]) ).
cnf(s56,plain,
( spl4_4
| spl4_9
| spl4_49
| spl4_52 ),
inference(sat_conversion,[],[f492]) ).
cnf(s57,plain,
( ~ spl4_37
| ~ spl4_53 ),
inference(sat_conversion,[],[f497]) ).
cnf(s58,plain,
( ~ spl4_37
| spl4_53 ),
inference(sat_conversion,[],[f498]) ).
cnf(s59,plain,
( ~ spl4_41
| ~ spl4_54 ),
inference(sat_conversion,[],[f503]) ).
cnf(s60,plain,
( spl4_33
| ~ spl4_41 ),
inference(sat_conversion,[],[f504]) ).
cnf(s61,plain,
( ~ spl4_45
| ~ spl4_55 ),
inference(sat_conversion,[],[f509]) ).
cnf(s62,plain,
( spl4_25
| ~ spl4_45 ),
inference(sat_conversion,[],[f510]) ).
cnf(s63,plain,
( ~ spl4_49
| ~ spl4_56 ),
inference(sat_conversion,[],[f515]) ).
cnf(s64,plain,
( spl4_21
| ~ spl4_49 ),
inference(sat_conversion,[],[f516]) ).
cnf(s65,plain,
( spl4_53
| spl4_57
| spl4_58
| spl4_59 ),
inference(sat_conversion,[],[f529]) ).
cnf(s66,plain,
( spl4_53
| spl4_54
| spl4_55
| spl4_56 ),
inference(sat_conversion,[],[f530]) ).
cnf(s67,plain,
( spl4_33
| spl4_38
| spl4_60
| spl4_61 ),
inference(sat_conversion,[],[f539]) ).
cnf(s68,plain,
( spl4_33
| spl4_62
| spl4_63
| spl4_64 ),
inference(sat_conversion,[],[f552]) ).
cnf(s69,plain,
( spl4_25
| spl4_39
| spl4_65
| spl4_66 ),
inference(sat_conversion,[],[f561]) ).
cnf(s70,plain,
( spl4_25
| spl4_67
| spl4_68
| spl4_69 ),
inference(sat_conversion,[],[f574]) ).
cnf(s71,plain,
( spl4_21
| spl4_40
| spl4_70
| spl4_71 ),
inference(sat_conversion,[],[f583]) ).
cnf(s73,plain,
( spl4_32
| spl4_54
| spl4_75
| spl4_76 ),
inference(sat_conversion,[],[f605]) ).
cnf(s76,plain,
( spl4_38
| spl4_42
| spl4_46
| spl4_50 ),
inference(sat_conversion,[],[f624]) ).
cnf(s78,plain,
( spl4_14
| spl4_65
| spl4_82
| spl4_83 ),
inference(sat_conversion,[],[f638]) ).
cnf(s79,plain,
( spl4_9
| spl4_44
| spl4_72
| spl4_84 ),
inference(sat_conversion,[],[f643]) ).
cnf(s83,plain,
( spl4_12
| spl4_46
| spl4_63
| spl4_89 ),
inference(sat_conversion,[],[f667]) ).
cnf(s84,plain,
( spl4_12
| spl4_60
| spl4_79
| spl4_90 ),
inference(sat_conversion,[],[f672]) ).
cnf(s86,plain,
( spl4_39
| spl4_43
| spl4_47
| spl4_51 ),
inference(sat_conversion,[],[f678]) ).
cnf(s89,plain,
( spl4_20
| spl4_56
| spl4_78
| spl4_88 ),
inference(sat_conversion,[],[f685]) ).
cnf(s91,plain,
( spl4_7
| spl4_50
| spl4_64
| spl4_90 ),
inference(sat_conversion,[],[f687]) ).
cnf(s92,plain,
( spl4_7
| spl4_61
| spl4_80
| spl4_89 ),
inference(sat_conversion,[],[f688]) ).
cnf(s94,plain,
( spl4_1
| spl4_66
| spl4_81
| spl4_91 ),
inference(sat_conversion,[],[f690]) ).
cnf(s100,plain,
( spl4_56
| spl4_64
| spl4_69
| spl4_74 ),
inference(sat_conversion,[],[f696]) ).
cnf(s101,plain,
( spl4_38
| spl4_57
| spl4_65
| spl4_70 ),
inference(sat_conversion,[],[f697]) ).
cnf(s103,plain,
( spl4_46
| spl4_77
| spl4_82
| spl4_85 ),
inference(sat_conversion,[],[f699]) ).
cnf(s104,plain,
( spl4_50
| spl4_78
| spl4_83
| spl4_86 ),
inference(sat_conversion,[],[f700]) ).
cnf(s106,plain,
( spl4_43
| spl4_75
| spl4_79
| spl4_84 ),
inference(sat_conversion,[],[f702]) ).
cnf(s108,plain,
( spl4_51
| spl4_88
| spl4_90
| spl4_92 ),
inference(sat_conversion,[],[f704]) ).
cnf(s110,plain,
( spl4_44
| spl4_76
| spl4_80
| spl4_81 ),
inference(sat_conversion,[],[f706]) ).
cnf(s111,plain,
( spl4_48
| spl4_87
| spl4_89
| spl4_91 ),
inference(sat_conversion,[],[f707]) ).
cnf(s113,plain,
( ~ spl4_4
| ~ spl4_24 ),
inference(sat_conversion,[],[f711]) ).
cnf(s114,plain,
( ~ spl4_21
| ~ spl4_25 ),
inference(sat_conversion,[],[f715]) ).
cnf(s116,plain,
( ~ spl4_1
| ~ spl4_20 ),
inference(sat_conversion,[],[f722]) ).
cnf(s117,plain,
( ~ spl4_9
| ~ spl4_32 ),
inference(sat_conversion,[],[f726]) ).
cnf(s118,plain,
( ~ spl4_21
| ~ spl4_33 ),
inference(sat_conversion,[],[f730]) ).
cnf(s121,plain,
( ~ spl4_33
| ~ spl4_53 ),
inference(sat_conversion,[],[f742]) ).
cnf(s127,plain,
( ~ spl4_57
| ~ spl4_65 ),
inference(sat_conversion,[],[f767]) ).
cnf(s136,plain,
( ~ spl4_14
| ~ spl4_32 ),
inference(sat_conversion,[],[f805]) ).
cnf(s143,plain,
( ~ spl4_25
| ~ spl4_33 ),
inference(sat_conversion,[],[f832]) ).
cnf(s146,plain,
( ~ spl4_4
| ~ spl4_12 ),
inference(sat_conversion,[],[f846]) ).
cnf(s150,plain,
( ~ spl4_9
| ~ spl4_14 ),
inference(sat_conversion,[],[f860]) ).
cnf(s151,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(sat_conversion,[],[f863]) ).
cnf(s159,plain,
( ~ spl4_25
| ~ spl4_53 ),
inference(sat_conversion,[],[f909]) ).
cnf(s160,plain,
( ~ spl4_7
| ~ spl4_20 ),
inference(sat_conversion,[],[f913]) ).
cnf(s175,plain,
( ~ spl4_78
| ~ spl4_83 ),
inference(sat_conversion,[],[f996]) ).
cnf(s193,plain,
( ~ spl4_55
| ~ spl4_63 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s196,plain,
( ~ spl4_12
| ~ spl4_24 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s197,plain,
( ~ spl4_54
| ~ spl4_72 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s198,plain,
( ~ spl4_4
| ~ spl4_47 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s200,plain,
( ~ spl4_12
| ~ spl4_47 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s204,plain,
( ~ spl4_54
| ~ spl4_62 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s225,plain,
( ~ spl4_1
| spl4_3
| ~ spl4_87 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s226,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_90 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s227,plain,
( ~ spl4_4
| ~ spl4_92 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s228,plain,
( ~ spl4_46
| ~ spl4_89 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s229,plain,
( ~ spl4_33
| ~ spl4_60 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s232,plain,
( ~ spl4_33
| ~ spl4_61 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s234,plain,
( ~ spl4_1
| ~ spl4_91 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s240,plain,
( ~ spl4_4
| ~ spl4_84 ),
inference(sat_conversion,[],[f1395]) ).
cnf(s241,plain,
( ~ spl4_1
| ~ spl4_66 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s243,plain,
( ~ spl4_4
| ~ spl4_85 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s244,plain,
( ~ spl4_4
| spl4_5
| ~ spl4_89 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s245,plain,
( ~ spl4_4
| spl4_6
| ~ spl4_88 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s246,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_90 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s248,plain,
( ~ spl4_56
| ~ spl4_78 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s249,plain,
( ~ spl4_56
| ~ spl4_88 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s250,plain,
( ~ spl4_24
| ~ spl4_58 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s255,plain,
( ~ spl4_39
| ~ spl4_65 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s260,plain,
( ~ spl4_1
| ~ spl4_51 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s263,plain,
( ~ spl4_79
| ~ spl4_80 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s273,plain,
( ~ spl4_12
| ~ spl4_79 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s276,plain,
( ~ spl4_43
| ~ spl4_51 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s278,plain,
( ~ spl4_59
| ~ spl4_76 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s284,plain,
( ~ spl4_7
| ~ spl4_80 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s286,plain,
( ~ spl4_20
| ~ spl4_56 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s314,plain,
( ~ spl4_2
| ~ spl4_7
| spl4_50 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s319,plain,
( ~ spl4_9
| ~ spl4_86 ),
inference(sat_conversion,[],[f1775]) ).
cnf(s321,plain,
( ~ spl4_7
| spl4_8
| ~ spl4_83 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s322,plain,
( ~ spl4_9
| spl4_11
| ~ spl4_78 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s325,plain,
( ~ spl4_71
| ~ spl4_92 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s327,plain,
( ~ spl4_24
| ~ spl4_88 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s331,plain,
( ~ spl4_7
| ~ spl4_90 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s332,plain,
( ~ spl4_9
| spl4_10
| ~ spl4_81 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s341,plain,
( ~ spl4_9
| ~ spl4_84 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s342,plain,
( spl4_3
| ~ spl4_7
| ~ spl4_76 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s343,plain,
( ~ spl4_25
| ~ spl4_66 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s345,plain,
( ~ spl4_25
| ~ spl4_65 ),
inference(sat_conversion,[],[f1809]) ).
cnf(s351,plain,
( ~ spl4_7
| ~ spl4_89 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s352,plain,
( ~ spl4_9
| ~ spl4_70 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s357,plain,
( ~ spl4_24
| ~ spl4_75 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s361,plain,
( ~ spl4_54
| ~ spl4_56 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s363,plain,
( ~ spl4_54
| ~ spl4_76 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s364,plain,
( ~ spl4_54
| ~ spl4_75 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s369,plain,
( ~ spl4_3
| ~ spl4_7
| spl4_76 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s371,plain,
( ~ spl4_14
| ~ spl4_42 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s384,plain,
( ~ spl4_24
| ~ spl4_47 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s386,plain,
( ~ spl4_7
| ~ spl4_52 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s395,plain,
( ~ spl4_32
| ~ spl4_57 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s396,plain,
( ~ spl4_32
| ~ spl4_76 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s405,plain,
( ~ spl4_14
| ~ spl4_67 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s409,plain,
( ~ spl4_14
| ~ spl4_82 ),
inference(sat_conversion,[],[f1868]) ).
cnf(s410,plain,
( ~ spl4_82
| ~ spl4_91 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s417,plain,
( ~ spl4_50
| ~ spl4_90 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s422,plain,
( ~ spl4_32
| ~ spl4_42 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s423,plain,
( ~ spl4_21
| ~ spl4_53 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s426,plain,
( ~ spl4_55
| ~ spl4_77 ),
inference(sat_conversion,[],[f1903]) ).
cnf(s428,plain,
( ~ spl4_64
| ~ spl4_69 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s437,plain,
( ~ spl4_38
| ~ spl4_50 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s446,plain,
( ~ spl4_68
| ~ spl4_91 ),
inference(sat_conversion,[],[f2056]) ).
cnf(s448,plain,
( ~ spl4_12
| ~ spl4_90 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s449,plain,
( ~ spl4_21
| ~ spl4_74 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s450,plain,
( spl4_2
| ~ spl4_20
| ~ spl4_64 ),
inference(sat_conversion,[],[f2065]) ).
cnf(s453,plain,
( spl4_17
| ~ spl4_20
| ~ spl4_61 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s454,plain,
( ~ spl4_21
| ~ spl4_70 ),
inference(sat_conversion,[],[f2072]) ).
cnf(s457,plain,
( ~ spl4_14
| ~ spl4_81 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s459,plain,
( ~ spl4_20
| ~ spl4_88 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s463,plain,
( ~ spl4_12
| ~ spl4_63 ),
inference(sat_conversion,[],[f2083]) ).
cnf(s466,plain,
( ~ spl4_12
| ~ spl4_60 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s467,plain,
( spl4_8
| ~ spl4_20
| ~ spl4_69 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s468,plain,
( ~ spl4_2
| ~ spl4_20
| spl4_64 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s470,plain,
( ~ spl4_20
| spl4_27
| ~ spl4_66 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s471,plain,
( spl4_41
| spl4_12
| spl4_7 ),
inference(rat,[],[s39,s40]) ).
cnf(s472,plain,
( spl4_45
| spl4_14
| spl4_1 ),
inference(rat,[],[s46,s48]) ).
cnf(s473,plain,
( spl4_49
| spl4_9
| spl4_4 ),
inference(rat,[],[s52,s56]) ).
cnf(s474,plain,
( ~ spl4_49
| spl4_8
| spl4_7
| spl4_2
| spl4_1 ),
inference(rat,[],[s100,s450,s467,s32,s136,s196,s472,s471,s62,s60,s58,s114,s118,s423,s449,s63,s64]) ).
cnf(s475,plain,
( ~ spl4_9
| spl4_7
| spl4_2
| spl4_1 ),
inference(rat,[],[s204,s66,s68,s286,s450,s32,s196,s463,s471,s60,s58,s143,s159,s61,s62,s472,s117,s150]) ).
cnf(s476,plain,
( spl4_7
| spl4_4
| spl4_2
| spl4_1 ),
inference(rat,[],[s67,s437,s453,s91,s9,s450,s32,s136,s196,s448,s466,s472,s471,s62,s60,s58,s114,s118,s423,s474,s64,s473,s475]) ).
cnf(s477,plain,
( ~ spl4_21
| spl4_20
| spl4_80
| spl4_76
| spl4_1 ),
inference(rat,[],[s196,s36,s32,s110,s136,s371,s457,s472,s62,s60,s58,s114,s118,s423]) ).
cnf(s478,plain,
( spl4_4
| spl4_3
| spl4_2
| spl4_1 ),
inference(rat,[],[s94,s332,s410,s4,s78,s322,s175,s89,s361,s73,s327,s357,s32,s58,s159,s343,s345,s62,s472,s117,s150,s473,s64,s477,s160,s284,s342,s476]) ).
cnf(s479,plain,
( ~ spl4_44
| spl4_41
| spl4_12 ),
inference(rat,[],[s35,s36]) ).
cnf(s481,plain,
( spl4_41
| spl4_49
| spl4_9
| spl4_12
| spl4_92
| spl4_84
| spl4_3
| spl4_1 ),
inference(rat,[],[s66,s159,s61,s62,s249,s472,s108,s197,s457,s54,s79,s110,s284,s331,s342,s386,s479,s471]) ).
cnf(s482,plain,
( ~ spl4_41
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s66,s286,s426,s32,s103,s136,s409,s47,s472,s58,s62,s121,s143,s59,s60,s243,s198,s113]) ).
cnf(s483,plain,
( spl4_3
| spl4_2
| spl4_1 ),
inference(rat,[],[s58,s32,s159,s117,s62,s481,s472,s64,s457,s477,s110,s160,s284,s342,s479,s471,s482,s113,s146,s227,s240,s478]) ).
cnf(s484,plain,
( ~ spl4_49
| spl4_54
| spl4_32
| spl4_20
| spl4_89
| spl4_1 ),
inference(rat,[],[s83,s47,s196,s384,s32,s193,s62,s58,s66,s114,s423,s63,s64]) ).
cnf(s485,plain,
( spl4_4
| spl4_2
| spl4_1 ),
inference(rat,[],[s66,s159,s61,s62,s248,s472,s104,s150,s319,s55,s473,s484,s321,s363,s396,s3,s160,s351,s369,s386,s476,s483]) ).
cnf(s486,plain,
~ spl4_37,
inference(rat,[],[s57,s58]) ).
cnf(s487,plain,
( spl4_12
| ~ spl4_49
| spl4_1 ),
inference(rat,[],[s363,s484,s110,s160,s284,s351,s479,s471,s60,s118,s457,s136,s472,s62,s114,s64]) ).
cnf(s488,plain,
( ~ spl4_49
| ~ spl4_2
| spl4_1 ),
inference(rat,[],[s446,s94,s70,s470,s428,s15,s468,s32,s196,s487,s136,s405,s457,s472,s62,s114,s64,s486]) ).
cnf(s489,plain,
( ~ spl4_7
| spl4_49
| ~ spl4_2
| spl4_4 ),
inference(rat,[],[s55,s314,s386]) ).
cnf(s490,plain,
( spl4_4
| spl4_1 ),
inference(rat,[],[s276,s106,s108,s364,s325,s66,s71,s286,s459,s28,s32,s196,s273,s448,s471,s489,s60,s114,s143,s159,s61,s62,s472,s117,s150,s341,s352,s473,s488,s485,s486]) ).
cnf(s491,plain,
spl4_1,
inference(rat,[],[s481,s369,s117,s396,s32,s160,s487,s471,s482,s113,s146,s227,s240,s490,s486]) ).
cnf(s492,plain,
~ spl4_51,
inference(rat,[],[s260,s491]) ).
cnf(s493,plain,
~ spl4_66,
inference(rat,[],[s241,s491]) ).
cnf(s497,plain,
~ spl4_91,
inference(rat,[],[s234,s491]) ).
cnf(s498,plain,
~ spl4_7,
inference(rat,[],[s151,s491]) ).
cnf(s500,plain,
~ spl4_20,
inference(rat,[],[s116,s491]) ).
cnf(s501,plain,
~ spl4_21,
inference(rat,[],[s255,s86,s101,s38,s395,s422,s31,s32,s196,s200,s471,s60,s118,s454,s492,s498,s486,s500]) ).
cnf(s502,plain,
~ spl4_49,
inference(rat,[],[s64,s501]) ).
cnf(s503,plain,
spl4_32,
inference(rat,[],[s65,s127,s278,s69,s73,s121,s143,s59,s60,s471,s196,s250,s357,s30,s32,s493,s498,s500,s486]) ).
cnf(s504,plain,
~ spl4_42,
inference(rat,[],[s422,s503]) ).
cnf(s511,plain,
~ spl4_14,
inference(rat,[],[s136,s503]) ).
cnf(s512,plain,
~ spl4_9,
inference(rat,[],[s117,s503]) ).
cnf(s513,plain,
spl4_4,
inference(rat,[],[s473,s502,s512]) ).
cnf(s518,plain,
~ spl4_92,
inference(rat,[],[s227,s513]) ).
cnf(s519,plain,
~ spl4_47,
inference(rat,[],[s198,s513]) ).
cnf(s520,plain,
~ spl4_12,
inference(rat,[],[s146,s513]) ).
cnf(s521,plain,
~ spl4_24,
inference(rat,[],[s113,s513]) ).
cnf(s522,plain,
spl4_41,
inference(rat,[],[s471,s498,s520]) ).
cnf(s523,plain,
~ spl4_38,
inference(rat,[],[s31,s500,s486,s521]) ).
cnf(s524,plain,
spl4_33,
inference(rat,[],[s60,s522]) ).
cnf(s525,plain,
~ spl4_61,
inference(rat,[],[s232,s524]) ).
cnf(s527,plain,
~ spl4_60,
inference(rat,[],[s229,s524]) ).
cnf(s528,plain,
~ spl4_25,
inference(rat,[],[s143,s524]) ).
cnf(s530,plain,
~ spl4_45,
inference(rat,[],[s62,s528]) ).
cnf(s531,plain,
~ spl4_48,
inference(rat,[],[s44,s511,s519,s530]) ).
cnf(s532,plain,
~ spl4_2,
inference(rat,[],[s228,s111,s76,s225,s417,s1,s246,s497,s531,s504,s523,s491]) ).
cnf(s533,plain,
~ spl4_90,
inference(rat,[],[s226,s491,s532]) ).
cnf(s535,plain,
spl4_88,
inference(rat,[],[s108,s518,s492,s533]) ).
cnf(s536,plain,
spl4_79,
inference(rat,[],[s84,s520,s527,s533]) ).
cnf(s540,plain,
spl4_6,
inference(rat,[],[s245,s513,s535]) ).
cnf(s541,plain,
~ spl4_80,
inference(rat,[],[s263,s536]) ).
cnf(s548,plain,
~ spl4_5,
inference(rat,[],[s2,s513,s540]) ).
cnf(s549,plain,
spl4_89,
inference(rat,[],[s92,s498,s525,s541]) ).
cnf(s558,plain,
$false,
inference(rat,[],[s244,s513,s549,s548]) ).
fof(f2093,plain,
$false,
inference(avatar_sat_refutation,[],[s558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:35:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.15 % (147892)Detected formulas, will run a generic FOF schedule.
% 3.15/1.15 % (147899)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3816424958:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.15/1.15 % (147902)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1825355083:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.15/1.15 % (147897)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=11118625:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.15/1.15 % (147900)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1857752050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.15/1.15 % (147901)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2489298466:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.15/1.15 % (147898)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3491649852:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.15/1.15 % (147903)dis-21_1_sil=8000:lcm=predicate:random_seed=2032037614:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.15/1.15 % (147901)Refutation not found, incomplete strategy
% 3.15/1.15 % (147901)------------------------------
% 3.15/1.15 % (147901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.15 % (147900)Refutation not found, incomplete strategy
% 3.15/1.15 % (147900)------------------------------
% 3.15/1.15 % (147900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.15 % (147901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.15 % (147900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.15 % (147901)CaDiCaL version: 2.1.3
% 3.15/1.15 % (147901)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.15 % (147901)Time elapsed: 0.001 s
% 3.15/1.15 % (147900)CaDiCaL version: 2.1.3
% 3.15/1.15 % (147901)Peak memory usage: 86 MB
% 3.15/1.15 % (147900)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.15 % (147900)Time elapsed: 0.001 s
% 3.15/1.15 % (147900)Peak memory usage: 86 MB
% 3.15/1.15 % (147903)Refutation not found, incomplete strategy
% 3.15/1.15 % (147903)------------------------------
% 3.15/1.15 % (147903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.15 % (147903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.15 % (147903)CaDiCaL version: 2.1.3
% 3.15/1.15 % (147903)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.15 % (147903)Time elapsed: 0.008 s
% 3.15/1.15 % (147903)Peak memory usage: 88 MB
% 3.15/1.15 % (147903)Instructions burned: 13 (million)
% 3.15/1.15 % (147902)First to succeed.
% 3.15/1.15 % (147902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-147892"
% 3.15/1.15 [W928 19:35:38.049496614 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 [W928 19:35:38.049525392 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 [W928 19:35:38.049545281 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 [W928 19:35:38.049551387 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 [W928 19:35:38.049564697 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 [W928 19:35:38.049570162 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.15/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.15/1.15 % (147901)------------------------------
% 3.15/1.15 % (147901)------------------------------
% 3.15/1.15 % (147900)------------------------------
% 3.15/1.15 % (147900)------------------------------
% 3.15/1.15 % (147903)------------------------------
% 3.15/1.15 % (147903)------------------------------
% 3.15/1.15 % (147899)Refutation not found, incomplete strategy
% 3.15/1.15 % (147899)------------------------------
% 3.15/1.15 % (147899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.15 % (147899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.15 % (147899)CaDiCaL version: 2.1.3
% 3.15/1.15 % (147899)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.15 % (147899)Time elapsed: 0.311 s
% 3.15/1.15 % (147899)Peak memory usage: 128 MB
% 3.15/1.15 % (147899)Instructions burned: 846 (million)
% 3.15/1.15 % (147902)Refutation found. Thanks to Tanya!
% 3.15/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.35 % (147902)------------------------------
% 4.06/1.35 % (147902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.35 % (147902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.35 % (147902)CaDiCaL version: 2.1.3
% 4.06/1.35 % (147902)Termination reason: Refutation
% 4.06/1.35 % (147902)Time elapsed: 0.046 s
% 4.06/1.35 % (147902)Peak memory usage: 90 MB
% 4.06/1.35 % (147902)Instructions burned: 85 (million)
% 4.06/1.35 % (147902)------------------------------
% 4.06/1.35 % (147902)------------------------------
% 4.06/1.35 % (147892)Success in time 0.485 s
% 4.06/1.35 % Vampire exiting
%------------------------------------------------------------------------------