%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG046+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:20:36 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 106
% Syntax : Number of formulae : 1308 ( 27 unt; 86 def)
% Number of atoms : 4232 ( 999 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5016 (2092 ~;2689 |; 149 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 88 ( 86 usr; 87 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,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/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,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/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(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/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e0 = op(e1,op(e1,op(e1,e1)))
& e2 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e0 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f12,axiom,
~ ( e0 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e2 = op(e0,op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f18,axiom,
~ ( e1 = op(e3,op(e3,op(e3,e3)))
& e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ( e2 = op(e0,op(e0,op(e0,e0)))
& e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
~ ( e2 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f25,axiom,
~ ( e3 = op(e0,op(e0,op(e0,e0)))
& e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ( e3 = op(e0,op(e0,op(e0,e0)))
& e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f30,axiom,
~ ( e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f31,plain,
( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( op(e0,e0) != e1
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( op(e0,e0) != e2
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e3
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f32,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f33,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f35,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f37,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f44,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f47,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f25]) ).
fof(f51,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f26]) ).
fof(f55,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f56,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f168,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f169,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f170,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f171,plain,
( e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f172,plain,
( e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f33]) ).
fof(f174,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f35]) ).
fof(f176,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f177,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f38]) ).
fof(f178,plain,
( op(e0,e0) != e2
| e3 != op(e0,op(e0,e0))
| e1 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f39]) ).
fof(f182,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f43]) ).
fof(f183,plain,
( op(e0,e0) != e3
| e1 != op(e0,op(e0,e0))
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f44]) ).
fof(f184,plain,
( op(e0,e0) != e1
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f185,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f186,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f47]) ).
fof(f189,plain,
( op(e0,e0) != e2
| e1 != op(e0,op(e0,e0))
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f50]) ).
fof(f190,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(e0,op(e0,op(e0,e0))) ),
inference(cnf_transformation,[],[f51]) ).
fof(f194,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f196,definition,
( spl0_1
<=> e3 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f197,plain,
( e3 = op(e2,op(e2,op(e2,e2)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f198,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| spl0_1 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl0_2
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f201,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f202,plain,
( e1 != op(e2,op(e2,e2))
| spl0_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f204,definition,
( spl0_3
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f205,plain,
( e0 = op(e2,e2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f194,f204,f200,f196]) ).
fof(f213,definition,
( spl0_5
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f214,plain,
( e1 = op(e2,e2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f222,definition,
( spl0_7
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f223,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( e2 != op(e1,op(e1,e1))
| spl0_7 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_8
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f227,plain,
( e0 = op(e1,e1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e0 != op(e1,e1)
| spl0_8 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f231,definition,
( spl0_9
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f232,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( e0 != op(e1,op(e1,e1))
| spl0_9 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_10
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f236,plain,
( e2 = op(e1,e1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f240,definition,
( spl0_11
<=> e3 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f241,plain,
( e3 = op(e0,op(e0,op(e0,e0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( e3 != op(e0,op(e0,op(e0,e0)))
| spl0_11 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl0_12
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f245,plain,
( e2 = op(e0,op(e0,e0))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( e2 != op(e0,op(e0,e0))
| spl0_12 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_13
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f249,plain,
( op(e0,e0) = e1
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f190,f248,f244,f240]) ).
fof(f253,definition,
( spl0_14
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f254,plain,
( e1 = op(e0,op(e0,e0))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( e1 != op(e0,op(e0,e0))
| spl0_14 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl0_15
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f258,plain,
( op(e0,e0) = e2
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f189,f257,f253,f240]) ).
fof(f270,definition,
( spl0_18
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f271,plain,
( e0 = op(e3,e3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f279,definition,
( spl0_20
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f280,plain,
( e1 = op(e3,e3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f284,definition,
( spl0_21
<=> e2 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f286,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| spl0_21 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl0_22
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f290,plain,
( e3 != op(e1,op(e1,e1))
| spl0_22 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f186,f226,f288,f284]) ).
fof(f293,definition,
( spl0_23
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f294,plain,
( e3 = op(e1,e1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,plain,
( ~ spl0_21
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f185,f293,f231,f284]) ).
fof(f298,definition,
( spl0_24
<=> e2 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f300,plain,
( e2 != op(e0,op(e0,op(e0,e0)))
| spl0_24 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl0_25
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f304,plain,
( e3 != op(e0,op(e0,e0))
| spl0_25 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f184,f248,f302,f298]) ).
fof(f307,definition,
( spl0_26
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f308,plain,
( op(e0,e0) = e3
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl0_24
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f183,f307,f253,f298]) ).
fof(f312,definition,
( spl0_27
<=> e1 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f314,plain,
( e1 != op(e3,op(e3,op(e3,e3)))
| spl0_27 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl0_28
<=> e2 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f318,plain,
( e2 != op(e3,op(e3,e3))
| spl0_28 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f182,f270,f316,f312]) ).
fof(f321,definition,
( spl0_29
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f322,plain,
( e2 = op(e3,e3)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f330,definition,
( spl0_31
<=> e3 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f332,plain,
( e3 != op(e2,op(e2,e2))
| spl0_31 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f335,definition,
( spl0_32
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f336,plain,
( e3 = op(e2,e2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f340,definition,
( spl0_33
<=> e1 = op(e0,op(e0,op(e0,e0))) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f342,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| spl0_33 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
( ~ spl0_33
| ~ spl0_25
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f178,f257,f302,f340]) ).
fof(f344,plain,
( ~ spl0_33
| ~ spl0_12
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f177,f307,f244,f340]) ).
fof(f346,definition,
( spl0_34
<=> e0 = op(e3,op(e3,op(e3,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f348,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| spl0_34 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f349,plain,
( ~ spl0_34
| ~ spl0_28
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f176,f279,f316,f346]) ).
fof(f352,definition,
( spl0_35
<=> e0 = op(e2,op(e2,op(e2,e2))) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f354,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| spl0_35 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f355,plain,
( ~ spl0_35
| ~ spl0_31
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f174,f213,f330,f352]) ).
fof(f358,definition,
( spl0_36
<=> e0 = op(e1,op(e1,op(e1,e1))) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f360,plain,
( e0 != op(e1,op(e1,op(e1,e1)))
| spl0_36 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ~ spl0_36
| ~ spl0_22
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f172,f235,f288,f358]) ).
fof(f362,plain,
( ~ spl0_36
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f171,f293,f222,f358]) ).
fof(f364,definition,
( spl0_37
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f365,plain,
( e0 = op(e0,e0)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,plain,
( ~ spl0_37
| ~ spl0_8
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f167,f270,f204,f226,f364]) ).
fof(f369,definition,
( spl0_38
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f370,plain,
( e1 = op(e1,e1)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( ~ spl0_13
| ~ spl0_38
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f168,f279,f213,f369,f248]) ).
fof(f374,definition,
( spl0_39
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f375,plain,
( e2 = op(e2,e2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f377,plain,
( ~ spl0_15
| ~ spl0_10
| ~ spl0_39
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f169,f321,f374,f235,f257]) ).
fof(f379,definition,
( spl0_40
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f382,plain,
( ~ spl0_26
| ~ spl0_23
| ~ spl0_32
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f170,f379,f335,f293,f307]) ).
fof(f384,definition,
( spl0_41
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f386,plain,
( e0 = op(e0,e1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f388,definition,
( spl0_42
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f389,plain,
( e0 != op(e0,e2)
| spl0_42 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( e0 = op(e0,e2)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl0_43
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f394,plain,
( e0 = op(e0,e3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f397,definition,
( spl0_44
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f399,plain,
( e0 = op(e1,e0)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f401,definition,
( spl0_45
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f402,plain,
( e0 != op(e2,e0)
| spl0_45 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( e0 = op(e2,e0)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f405,definition,
( spl0_46
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f406,plain,
( e0 != op(e3,e0)
| spl0_46 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f407,plain,
( e0 = op(e3,e0)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f410,definition,
( spl0_47
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f411,plain,
( e1 != op(e0,e1)
| spl0_47 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( e1 = op(e0,e1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl0_48
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f415,plain,
( e1 != op(e0,e2)
| spl0_48 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( e1 = op(e0,e2)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f418,definition,
( spl0_49
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f420,plain,
( e1 = op(e0,e3)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,plain,
( spl0_13
| spl0_47
| spl0_48
| spl0_49 ),
inference(avatar_split_clause,[],[f83,f418,f414,f410,f248]) ).
fof(f423,definition,
( spl0_50
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f424,plain,
( e1 != op(e1,e0)
| spl0_50 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( e1 = op(e1,e0)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f427,definition,
( spl0_51
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f429,plain,
( e1 = op(e2,e0)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f431,definition,
( spl0_52
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f433,plain,
( e1 = op(e3,e0)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
( spl0_13
| spl0_50
| spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f84,f431,f427,f423,f248]) ).
fof(f436,definition,
( spl0_53
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f438,plain,
( e2 = op(e0,e1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f440,definition,
( spl0_54
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f442,plain,
( e2 = op(e0,e2)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f444,definition,
( spl0_55
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f445,plain,
( e2 != op(e0,e3)
| spl0_55 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( e2 = op(e0,e3)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( spl0_15
| spl0_53
| spl0_54
| spl0_55 ),
inference(avatar_split_clause,[],[f85,f444,f440,f436,f257]) ).
fof(f449,definition,
( spl0_56
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f451,plain,
( e2 = op(e1,e0)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f453,definition,
( spl0_57
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f454,plain,
( e2 != op(e2,e0)
| spl0_57 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( e2 = op(e2,e0)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,definition,
( spl0_58
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f459,plain,
( e2 = op(e3,e0)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( spl0_15
| spl0_56
| spl0_57
| spl0_58 ),
inference(avatar_split_clause,[],[f86,f457,f453,f449,f257]) ).
fof(f462,definition,
( spl0_59
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f464,plain,
( e3 = op(e0,e1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f466,definition,
( spl0_60
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f468,plain,
( e3 = op(e0,e2)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl0_61
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f472,plain,
( e3 = op(e0,e3)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( spl0_26
| spl0_59
| spl0_60
| spl0_61 ),
inference(avatar_split_clause,[],[f87,f470,f466,f462,f307]) ).
fof(f475,definition,
( spl0_62
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f477,plain,
( e3 = op(e1,e0)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f479,definition,
( spl0_63
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f481,plain,
( e3 = op(e2,e0)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl0_64
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f485,plain,
( e3 = op(e3,e0)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( spl0_26
| spl0_62
| spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f88,f483,f479,f475,f307]) ).
fof(f488,definition,
( spl0_65
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f490,plain,
( e0 = op(e1,e2)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f492,definition,
( spl0_66
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f494,plain,
( e0 = op(e1,e3)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f495,plain,
( spl0_44
| spl0_8
| spl0_65
| spl0_66 ),
inference(avatar_split_clause,[],[f89,f492,f488,f226,f397]) ).
fof(f497,definition,
( spl0_67
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f499,plain,
( e0 = op(e2,e1)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl0_68
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f503,plain,
( e0 = op(e3,e1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,plain,
( spl0_41
| spl0_8
| spl0_67
| spl0_68 ),
inference(avatar_split_clause,[],[f90,f501,f497,f226,f384]) ).
fof(f506,definition,
( spl0_69
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f508,plain,
( e1 = op(e1,e2)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f510,definition,
( spl0_70
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f512,plain,
( e1 = op(e1,e3)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f515,definition,
( spl0_71
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f517,plain,
( e1 = op(e2,e1)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f519,definition,
( spl0_72
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f521,plain,
( e1 = op(e3,e1)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f524,definition,
( spl0_73
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f525,plain,
( e2 != op(e1,e2)
| spl0_73 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( e2 = op(e1,e2)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl0_74
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f530,plain,
( e2 = op(e1,e3)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,plain,
( spl0_56
| spl0_10
| spl0_73
| spl0_74 ),
inference(avatar_split_clause,[],[f93,f528,f524,f235,f449]) ).
fof(f533,definition,
( spl0_75
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f535,plain,
( e2 = op(e2,e1)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,definition,
( spl0_76
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f539,plain,
( e2 = op(e3,e1)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f540,plain,
( spl0_53
| spl0_10
| spl0_75
| spl0_76 ),
inference(avatar_split_clause,[],[f94,f537,f533,f235,f436]) ).
fof(f542,definition,
( spl0_77
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f544,plain,
( e3 = op(e1,e2)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,definition,
( spl0_78
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f548,plain,
( e3 = op(e1,e3)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f549,plain,
( spl0_62
| spl0_23
| spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f95,f546,f542,f293,f475]) ).
fof(f551,definition,
( spl0_79
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f553,plain,
( e3 = op(e2,e1)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl0_80
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f557,plain,
( e3 = op(e3,e1)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( spl0_59
| spl0_23
| spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f96,f555,f551,f293,f462]) ).
fof(f560,definition,
( spl0_81
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f562,plain,
( e0 = op(e2,e3)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl0_45
| spl0_67
| spl0_3
| spl0_81 ),
inference(avatar_split_clause,[],[f97,f560,f204,f497,f401]) ).
fof(f565,definition,
( spl0_82
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f567,plain,
( e0 = op(e3,e2)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( spl0_42
| spl0_65
| spl0_3
| spl0_82 ),
inference(avatar_split_clause,[],[f98,f565,f204,f488,f388]) ).
fof(f570,definition,
( spl0_83
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f572,plain,
( e1 = op(e2,e3)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f573,plain,
( spl0_51
| spl0_71
| spl0_5
| spl0_83 ),
inference(avatar_split_clause,[],[f99,f570,f213,f515,f427]) ).
fof(f575,definition,
( spl0_84
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f577,plain,
( e1 = op(e3,e2)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( spl0_48
| spl0_69
| spl0_5
| spl0_84 ),
inference(avatar_split_clause,[],[f100,f575,f213,f506,f414]) ).
fof(f580,definition,
( spl0_85
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f582,plain,
( e2 = op(e2,e3)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f585,definition,
( spl0_86
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f586,plain,
( e2 != op(e3,e2)
| spl0_86 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( e2 = op(e3,e2)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( spl0_54
| spl0_73
| spl0_39
| spl0_86 ),
inference(avatar_split_clause,[],[f102,f585,f374,f524,f440]) ).
fof(f590,definition,
( spl0_87
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f592,plain,
( e3 = op(e2,e3)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,plain,
( spl0_63
| spl0_79
| spl0_32
| spl0_87 ),
inference(avatar_split_clause,[],[f103,f590,f335,f551,f479]) ).
fof(f595,definition,
( spl0_88
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f597,plain,
( e3 = op(e3,e2)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f598,plain,
( spl0_60
| spl0_77
| spl0_32
| spl0_88 ),
inference(avatar_split_clause,[],[f104,f595,f335,f542,f466]) ).
fof(f599,plain,
( spl0_46
| spl0_68
| spl0_82
| spl0_18 ),
inference(avatar_split_clause,[],[f105,f270,f565,f501,f405]) ).
fof(f600,plain,
( spl0_43
| spl0_66
| spl0_81
| spl0_18 ),
inference(avatar_split_clause,[],[f106,f270,f560,f492,f392]) ).
fof(f601,plain,
( spl0_52
| spl0_72
| spl0_84
| spl0_20 ),
inference(avatar_split_clause,[],[f107,f279,f575,f519,f431]) ).
fof(f602,plain,
( spl0_49
| spl0_70
| spl0_83
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f279,f570,f510,f418]) ).
fof(f603,plain,
( spl0_58
| spl0_76
| spl0_86
| spl0_29 ),
inference(avatar_split_clause,[],[f109,f321,f585,f537,f457]) ).
fof(f604,plain,
( spl0_55
| spl0_74
| spl0_85
| spl0_29 ),
inference(avatar_split_clause,[],[f110,f321,f580,f528,f444]) ).
fof(f608,definition,
( spl0_89
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f610,plain,
( e0 = unit
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f612,definition,
( spl0_90
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f614,plain,
( e1 = unit
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f616,definition,
( spl0_91
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f618,plain,
( e2 = unit
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl0_92
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f622,plain,
( e3 = unit
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f623,plain,
( spl0_89
| spl0_90
| spl0_91
| spl0_92 ),
inference(avatar_split_clause,[],[f72,f620,f616,f612,f608]) ).
fof(f624,plain,
( spl0_37
| spl0_13
| spl0_15
| spl0_26 ),
inference(avatar_split_clause,[],[f56,f307,f257,f248,f364]) ).
fof(f626,plain,
( spl0_42
| spl0_48
| spl0_54
| spl0_60 ),
inference(avatar_split_clause,[],[f58,f466,f440,f414,f388]) ).
fof(f627,plain,
( spl0_43
| spl0_49
| spl0_55
| spl0_61 ),
inference(avatar_split_clause,[],[f59,f470,f444,f418,f392]) ).
fof(f629,plain,
( spl0_8
| spl0_38
| spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f61,f293,f235,f369,f226]) ).
fof(f634,plain,
( spl0_3
| spl0_5
| spl0_39
| spl0_32 ),
inference(avatar_split_clause,[],[f66,f335,f374,f213,f204]) ).
fof(f638,plain,
( spl0_82
| spl0_84
| spl0_86
| spl0_88 ),
inference(avatar_split_clause,[],[f70,f595,f585,f575,f565]) ).
fof(f639,plain,
( spl0_18
| spl0_20
| spl0_29
| spl0_40 ),
inference(avatar_split_clause,[],[f71,f379,f321,f279,f270]) ).
fof(f640,plain,
( e2 = e3
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f294,f236]) ).
fof(f641,plain,
( e2 != op(e3,e1)
| ~ spl0_20
| spl0_28 ),
inference(forward_demodulation,[],[f318,f280]) ).
fof(f642,plain,
( e1 = e2
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f322,f280]) ).
fof(f643,plain,
( e1 = e3
| ~ spl0_5
| ~ spl0_32 ),
inference(forward_demodulation,[],[f336,f214]) ).
fof(f644,plain,
( e0 != op(e2,op(e2,e1))
| ~ spl0_5
| spl0_35 ),
inference(forward_demodulation,[],[f354,f214]) ).
fof(f645,plain,
( e0 != op(e1,op(e1,e2))
| ~ spl0_10
| spl0_36 ),
inference(forward_demodulation,[],[f360,f236]) ).
fof(f648,plain,
( e1 = e3
| ~ spl0_50
| ~ spl0_62 ),
inference(forward_demodulation,[],[f477,f425]) ).
fof(f649,plain,
( $false
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f640,f161]) ).
fof(f650,plain,
( ~ spl0_10
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f652,plain,
( $false
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f642,f163]) ).
fof(f653,plain,
( ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f654,plain,
( $false
| ~ spl0_5
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f643,f162]) ).
fof(f655,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f662,plain,
( $false
| ~ spl0_50
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f648,f162]) ).
fof(f663,plain,
( ~ spl0_50
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f672,plain,
( e1 = e2
| ~ spl0_50
| ~ spl0_56 ),
inference(forward_demodulation,[],[f451,f425]) ).
fof(f674,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_64 ),
inference(forward_demodulation,[],[f485,f459]) ).
fof(f675,plain,
( e0 = e2
| ~ spl0_81
| ~ spl0_85 ),
inference(forward_demodulation,[],[f582,f562]) ).
fof(f676,plain,
( e0 = e2
| ~ spl0_82
| ~ spl0_86 ),
inference(forward_demodulation,[],[f587,f567]) ).
fof(f677,plain,
( e0 = e3
| ~ spl0_81
| ~ spl0_87 ),
inference(forward_demodulation,[],[f592,f562]) ).
fof(f678,plain,
( e0 = e3
| ~ spl0_82
| ~ spl0_88 ),
inference(forward_demodulation,[],[f597,f567]) ).
fof(f679,plain,
( e1 = e3
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f294,f370]) ).
fof(f681,plain,
( $false
| ~ spl0_50
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f672,f163]) ).
fof(f682,plain,
( ~ spl0_50
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f683,plain,
( $false
| ~ spl0_58
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f674,f161]) ).
fof(f684,plain,
( ~ spl0_58
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f685,plain,
( $false
| ~ spl0_81
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f675,f165]) ).
fof(f686,plain,
( ~ spl0_81
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f687,plain,
( $false
| ~ spl0_82
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f676,f165]) ).
fof(f688,plain,
( ~ spl0_82
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f689,plain,
( $false
| ~ spl0_81
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f677,f164]) ).
fof(f690,plain,
( ~ spl0_81
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f691,plain,
( $false
| ~ spl0_82
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f678,f164]) ).
fof(f692,plain,
( ~ spl0_82
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f693,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f679,f162]) ).
fof(f694,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f697,plain,
( e0 = e2
| ~ spl0_65
| ~ spl0_73 ),
inference(forward_demodulation,[],[f526,f490]) ).
fof(f698,plain,
( e0 = e3
| ~ spl0_65
| ~ spl0_77 ),
inference(forward_demodulation,[],[f544,f490]) ).
fof(f699,plain,
( e0 = e3
| ~ spl0_67
| ~ spl0_79 ),
inference(forward_demodulation,[],[f553,f499]) ).
fof(f702,plain,
( e2 = e3
| ~ spl0_86
| ~ spl0_88 ),
inference(forward_demodulation,[],[f597,f587]) ).
fof(f703,plain,
( $false
| ~ spl0_65
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f697,f165]) ).
fof(f704,plain,
( ~ spl0_65
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f705,plain,
( $false
| ~ spl0_65
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f698,f164]) ).
fof(f706,plain,
( ~ spl0_65
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f707,plain,
( $false
| ~ spl0_67
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f699,f164]) ).
fof(f708,plain,
( ~ spl0_67
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f709,plain,
( $false
| ~ spl0_86
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f702,f161]) ).
fof(f710,plain,
( ~ spl0_86
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f711,plain,
( e3 != op(e2,op(e2,e1))
| spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f198,f214]) ).
fof(f712,plain,
( e3 != op(e2,e1)
| ~ spl0_5
| spl0_31 ),
inference(forward_demodulation,[],[f332,f214]) ).
fof(f714,plain,
( e0 = e3
| ~ spl0_68
| ~ spl0_80 ),
inference(forward_demodulation,[],[f557,f503]) ).
fof(f717,plain,
( e2 = e3
| ~ spl0_73
| ~ spl0_77 ),
inference(forward_demodulation,[],[f544,f526]) ).
fof(f718,plain,
( e3 != op(e2,e0)
| spl0_1
| ~ spl0_5
| ~ spl0_67 ),
inference(forward_demodulation,[],[f711,f499]) ).
fof(f720,plain,
( $false
| ~ spl0_68
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f714,f164]) ).
fof(f721,plain,
( ~ spl0_68
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f722,plain,
( $false
| ~ spl0_73
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f717,f161]) ).
fof(f723,plain,
( ~ spl0_73
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f725,plain,
( e2 = e3
| ~ spl0_53
| ~ spl0_59 ),
inference(forward_demodulation,[],[f464,f438]) ).
fof(f726,plain,
( e0 = e2
| ~ spl0_66
| ~ spl0_74 ),
inference(forward_demodulation,[],[f530,f494]) ).
fof(f728,plain,
( $false
| ~ spl0_53
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f725,f161]) ).
fof(f729,plain,
( ~ spl0_53
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( $false
| ~ spl0_66
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f726,f165]) ).
fof(f731,plain,
( ~ spl0_66
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f732,plain,
( e1 = e2
| ~ spl0_10
| ~ spl0_38 ),
inference(forward_demodulation,[],[f236,f370]) ).
fof(f733,plain,
( e0 != op(e1,e3)
| ~ spl0_10
| spl0_36
| ~ spl0_77 ),
inference(forward_demodulation,[],[f645,f544]) ).
fof(f736,plain,
( e0 != op(e2,e3)
| ~ spl0_5
| spl0_35
| ~ spl0_79 ),
inference(forward_demodulation,[],[f644,f553]) ).
fof(f740,plain,
( $false
| ~ spl0_10
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f732,f163]) ).
fof(f741,plain,
( ~ spl0_10
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f742,plain,
( $false
| ~ spl0_10
| spl0_36
| ~ spl0_66
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f733,f494]) ).
fof(f743,plain,
( ~ spl0_10
| spl0_36
| ~ spl0_66
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f755,plain,
( $false
| ~ spl0_5
| spl0_35
| ~ spl0_79
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f736,f562]) ).
fof(f756,plain,
( ~ spl0_5
| spl0_35
| ~ spl0_79
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f774,plain,
( e2 = op(e0,e2)
| ~ spl0_89 ),
inference(superposition,[],[f76,f610]) ).
fof(f775,plain,
( e1 = e2
| ~ spl0_48
| ~ spl0_89 ),
inference(forward_demodulation,[],[f774,f416]) ).
fof(f776,plain,
( $false
| ~ spl0_48
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f775,f163]) ).
fof(f777,plain,
( ~ spl0_48
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f779,plain,
( e0 = e1
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f420,f394]) ).
fof(f780,plain,
( e0 = e2
| ~ spl0_42
| ~ spl0_89 ),
inference(forward_demodulation,[],[f774,f390]) ).
fof(f781,plain,
( $false
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f779,f166]) ).
fof(f782,plain,
( ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f783,plain,
( $false
| ~ spl0_42
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f780,f165]) ).
fof(f784,plain,
( ~ spl0_42
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f785,plain,
( e0 = e1
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f416,f390]) ).
fof(f787,plain,
( $false
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f785,f166]) ).
fof(f788,plain,
( ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f791,plain,
( e2 = op(e2,e3)
| ~ spl0_92 ),
inference(superposition,[],[f75,f622]) ).
fof(f792,plain,
( e3 = op(e3,e3)
| ~ spl0_92 ),
inference(superposition,[],[f74,f622]) ).
fof(f795,plain,
( e1 = e3
| ~ spl0_20
| ~ spl0_92 ),
inference(forward_demodulation,[],[f792,f280]) ).
fof(f796,plain,
( spl0_85
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f791,f620,f580]) ).
fof(f799,plain,
( $false
| ~ spl0_20
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f795,f162]) ).
fof(f800,plain,
( ~ spl0_20
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f803,plain,
( e2 = op(e2,e2)
| ~ spl0_91 ),
inference(superposition,[],[f76,f618]) ).
fof(f806,plain,
( e3 = op(e3,e2)
| ~ spl0_91 ),
inference(superposition,[],[f73,f618]) ).
fof(f807,plain,
( e2 = e3
| ~ spl0_86
| ~ spl0_91 ),
inference(forward_demodulation,[],[f806,f587]) ).
fof(f809,plain,
( e1 = e2
| ~ spl0_5
| ~ spl0_91 ),
inference(forward_demodulation,[],[f803,f214]) ).
fof(f810,plain,
( $false
| ~ spl0_86
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f807,f161]) ).
fof(f811,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f814,plain,
( $false
| ~ spl0_5
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f809,f163]) ).
fof(f815,plain,
( ~ spl0_5
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f818,plain,
( e2 = op(e0,e2)
| ~ spl0_89 ),
inference(superposition,[],[f76,f610]) ).
fof(f822,plain,
( spl0_54
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f818,f608,f440]) ).
fof(f827,plain,
( e0 = e1
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f214,f205]) ).
fof(f831,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f827,f166]) ).
fof(f832,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f835,plain,
( e2 = e3
| ~ spl0_76
| ~ spl0_80 ),
inference(forward_demodulation,[],[f557,f539]) ).
fof(f843,plain,
( $false
| ~ spl0_20
| spl0_28
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f641,f539]) ).
fof(f844,plain,
( ~ spl0_20
| spl0_28
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f845,plain,
( $false
| ~ spl0_76
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f835,f161]) ).
fof(f846,plain,
( ~ spl0_76
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f859,plain,
( e0 != op(e3,op(e3,e1))
| ~ spl0_20
| spl0_34 ),
inference(forward_demodulation,[],[f348,f280]) ).
fof(f861,plain,
( e1 = e3
| ~ spl0_47
| ~ spl0_59 ),
inference(forward_demodulation,[],[f464,f412]) ).
fof(f866,plain,
( e0 != op(e3,e2)
| ~ spl0_20
| spl0_34
| ~ spl0_76 ),
inference(forward_demodulation,[],[f859,f539]) ).
fof(f867,plain,
( $false
| ~ spl0_47
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f861,f162]) ).
fof(f868,plain,
( ~ spl0_47
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f870,plain,
( $false
| ~ spl0_20
| spl0_34
| ~ spl0_76
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f866,f567]) ).
fof(f871,plain,
( ~ spl0_20
| spl0_34
| ~ spl0_76
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f872,plain,
( e1 = e2
| ~ spl0_47
| ~ spl0_53 ),
inference(forward_demodulation,[],[f438,f412]) ).
fof(f880,plain,
( $false
| ~ spl0_47
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f872,f163]) ).
fof(f881,plain,
( ~ spl0_47
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f889,plain,
( e3 = op(e3,e1)
| ~ spl0_90 ),
inference(superposition,[],[f73,f614]) ).
fof(f890,plain,
( e3 = op(e1,e3)
| ~ spl0_90 ),
inference(superposition,[],[f74,f614]) ).
fof(f891,plain,
( e2 = op(e2,e1)
| ~ spl0_90 ),
inference(superposition,[],[f75,f614]) ).
fof(f892,plain,
( e2 = op(e1,e2)
| ~ spl0_90 ),
inference(superposition,[],[f76,f614]) ).
fof(f895,plain,
( e0 = op(e0,e1)
| ~ spl0_90 ),
inference(superposition,[],[f79,f614]) ).
fof(f896,plain,
( e0 = op(e1,e0)
| ~ spl0_90 ),
inference(superposition,[],[f80,f614]) ).
fof(f898,plain,
( spl0_44
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f896,f612,f397]) ).
fof(f899,plain,
( spl0_41
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f895,f612,f384]) ).
fof(f900,plain,
( $false
| spl0_73
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f892,f525]) ).
fof(f901,plain,
( spl0_73
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f902,plain,
( e0 = e2
| ~ spl0_67
| ~ spl0_90 ),
inference(forward_demodulation,[],[f891,f499]) ).
fof(f903,plain,
( e2 = e3
| ~ spl0_74
| ~ spl0_90 ),
inference(forward_demodulation,[],[f890,f530]) ).
fof(f904,plain,
( e2 = e3
| ~ spl0_76
| ~ spl0_90 ),
inference(forward_demodulation,[],[f889,f539]) ).
fof(f905,plain,
( $false
| ~ spl0_67
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f902,f165]) ).
fof(f906,plain,
( ~ spl0_67
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f907,plain,
( $false
| ~ spl0_74
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f903,f161]) ).
fof(f908,plain,
( ~ spl0_74
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f909,plain,
( $false
| ~ spl0_76
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f904,f161]) ).
fof(f910,plain,
( ~ spl0_76
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f913,plain,
( e2 = e3
| ~ spl0_74
| ~ spl0_78 ),
inference(forward_demodulation,[],[f548,f530]) ).
fof(f917,plain,
( $false
| ~ spl0_74
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f913,f161]) ).
fof(f918,plain,
( ~ spl0_74
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f943,plain,
( e3 = op(e3,e3)
| ~ spl0_92 ),
inference(superposition,[],[f73,f622]) ).
fof(f946,plain,
( e2 = op(e3,e2)
| ~ spl0_92 ),
inference(superposition,[],[f76,f622]) ).
fof(f947,plain,
( e1 = op(e1,e3)
| ~ spl0_92 ),
inference(superposition,[],[f77,f622]) ).
fof(f949,plain,
( e0 = op(e0,e3)
| ~ spl0_92 ),
inference(superposition,[],[f79,f622]) ).
fof(f950,plain,
( e0 = op(e3,e0)
| ~ spl0_92 ),
inference(superposition,[],[f80,f622]) ).
fof(f952,plain,
( spl0_43
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f949,f620,f392]) ).
fof(f953,plain,
( e0 = e1
| ~ spl0_66
| ~ spl0_92 ),
inference(forward_demodulation,[],[f947,f494]) ).
fof(f955,plain,
( e2 = e3
| ~ spl0_29
| ~ spl0_92 ),
inference(forward_demodulation,[],[f943,f322]) ).
fof(f956,plain,
( $false
| ~ spl0_66
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f953,f166]) ).
fof(f957,plain,
( ~ spl0_66
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f960,plain,
( $false
| ~ spl0_29
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f955,f161]) ).
fof(f961,plain,
( ~ spl0_29
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f963,plain,
( e0 = e1
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f249,f365]) ).
fof(f967,plain,
( spl0_70
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f947,f620,f510]) ).
fof(f973,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f963,f166]) ).
fof(f974,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f986,plain,
( $false
| spl0_86
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f946,f586]) ).
fof(f987,plain,
( spl0_86
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f991,plain,
( e1 != op(e3,op(e3,e0))
| ~ spl0_18
| spl0_27 ),
inference(forward_demodulation,[],[f314,f271]) ).
fof(f993,plain,
( e0 = e3
| ~ spl0_18
| ~ spl0_92 ),
inference(forward_demodulation,[],[f943,f271]) ).
fof(f994,plain,
( e3 != op(e0,op(e0,e3))
| spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f242,f308]) ).
fof(f1009,plain,
( $false
| ~ spl0_18
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f993,f164]) ).
fof(f1010,plain,
( ~ spl0_18
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1011,plain,
( e3 != op(e0,e3)
| spl0_11
| ~ spl0_26
| ~ spl0_61 ),
inference(forward_demodulation,[],[f994,f472]) ).
fof(f1019,plain,
( $false
| spl0_11
| ~ spl0_26
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1011,f472]) ).
fof(f1020,plain,
( spl0_11
| ~ spl0_26
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1041,plain,
( op(e0,e0) != e3
| spl0_11
| ~ spl0_26
| ~ spl0_43 ),
inference(forward_demodulation,[],[f994,f394]) ).
fof(f1045,plain,
( $false
| spl0_11
| ~ spl0_26
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1041,f308]) ).
fof(f1046,plain,
( spl0_11
| ~ spl0_26
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1048,plain,
( e2 != op(e0,e3)
| spl0_12
| ~ spl0_26 ),
inference(forward_demodulation,[],[f246,f308]) ).
fof(f1054,plain,
( e1 = e3
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f308,f249]) ).
fof(f1059,plain,
( $false
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1054,f162]) ).
fof(f1060,plain,
( ~ spl0_13
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1062,plain,
( e0 = e3
| ~ spl0_46
| ~ spl0_64 ),
inference(forward_demodulation,[],[f485,f407]) ).
fof(f1064,plain,
( e2 != op(e0,op(e0,e1))
| ~ spl0_13
| spl0_24 ),
inference(forward_demodulation,[],[f300,f249]) ).
fof(f1066,plain,
( e2 != op(e0,e1)
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f246,f249]) ).
fof(f1068,plain,
( $false
| ~ spl0_46
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f1062,f164]) ).
fof(f1069,plain,
( ~ spl0_46
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1070,plain,
( e2 != op(e0,e3)
| ~ spl0_13
| spl0_24
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1064,f464]) ).
fof(f1082,plain,
( $false
| spl0_46
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f950,f406]) ).
fof(f1083,plain,
( spl0_46
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1088,plain,
( e2 = e3
| ~ spl0_57
| ~ spl0_63 ),
inference(forward_demodulation,[],[f481,f455]) ).
fof(f1090,plain,
( $false
| ~ spl0_57
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1088,f161]) ).
fof(f1091,plain,
( ~ spl0_57
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1092,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f258,f249]) ).
fof(f1094,plain,
( ~ spl0_63
| spl0_1
| ~ spl0_5
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f718,f497,f213,f196,f479]) ).
fof(f1095,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1092,f163]) ).
fof(f1096,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1102,plain,
( e0 = e2
| ~ spl0_44
| ~ spl0_56 ),
inference(forward_demodulation,[],[f451,f399]) ).
fof(f1105,plain,
( $false
| ~ spl0_44
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1102,f165]) ).
fof(f1106,plain,
( ~ spl0_44
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1125,plain,
( e2 = op(e1,e0)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f223,f227]) ).
fof(f1131,plain,
( e0 = e2
| ~ spl0_42
| ~ spl0_54 ),
inference(superposition,[],[f442,f390]) ).
fof(f1133,plain,
( e0 = e2
| ~ spl0_42
| ~ spl0_54 ),
inference(superposition,[],[f390,f442]) ).
fof(f1134,plain,
( $false
| ~ spl0_42
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1133,f165]) ).
fof(f1135,plain,
( ~ spl0_42
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1136,plain,
( $false
| ~ spl0_42
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1131,f165]) ).
fof(f1137,plain,
( ~ spl0_42
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1139,plain,
( e0 = e2
| ~ spl0_43
| ~ spl0_55 ),
inference(forward_demodulation,[],[f446,f394]) ).
fof(f1140,plain,
( $false
| ~ spl0_43
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f1139,f165]) ).
fof(f1141,plain,
( ~ spl0_43
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1146,plain,
( ~ spl0_55
| ~ spl0_13
| spl0_24
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1070,f462,f298,f248,f444]) ).
fof(f1153,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl0_1
| ~ spl0_39 ),
inference(forward_demodulation,[],[f197,f375]) ).
fof(f1156,plain,
( e3 = op(e2,e2)
| ~ spl0_1
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1153,f375]) ).
fof(f1157,plain,
( e2 = e3
| ~ spl0_1
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1156,f375]) ).
fof(f1158,plain,
( $false
| ~ spl0_1
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1157,f161]) ).
fof(f1159,plain,
( ~ spl0_1
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1162,plain,
( e3 != op(e0,e1)
| ~ spl0_13
| spl0_25 ),
inference(forward_demodulation,[],[f304,f249]) ).
fof(f1165,plain,
( $false
| ~ spl0_13
| spl0_25
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1162,f464]) ).
fof(f1166,plain,
( ~ spl0_13
| spl0_25
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1180,plain,
( e3 = op(e3,e2)
| ~ spl0_91 ),
inference(superposition,[],[f73,f618]) ).
fof(f1181,plain,
( e3 = op(e2,e3)
| ~ spl0_91 ),
inference(superposition,[],[f74,f618]) ).
fof(f1184,plain,
( e1 = op(e1,e2)
| ~ spl0_91 ),
inference(superposition,[],[f77,f618]) ).
fof(f1185,plain,
( e1 = op(e2,e1)
| ~ spl0_91 ),
inference(superposition,[],[f78,f618]) ).
fof(f1186,plain,
( e0 = op(e0,e2)
| ~ spl0_91 ),
inference(superposition,[],[f79,f618]) ).
fof(f1187,plain,
( e0 = op(e2,e0)
| ~ spl0_91 ),
inference(superposition,[],[f80,f618]) ).
fof(f1189,plain,
( $false
| spl0_45
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1187,f402]) ).
fof(f1190,plain,
( spl0_45
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1191,plain,
( spl0_71
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1185,f616,f515]) ).
fof(f1192,plain,
( spl0_69
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1184,f616,f506]) ).
fof(f1194,plain,
( e1 = e3
| ~ spl0_84
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1180,f577]) ).
fof(f1197,plain,
( $false
| ~ spl0_84
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1194,f162]) ).
fof(f1198,plain,
( ~ spl0_84
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1203,plain,
( e0 = e3
| ~ spl0_81
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1181,f562]) ).
fof(f1204,plain,
( $false
| ~ spl0_81
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1203,f164]) ).
fof(f1205,plain,
( ~ spl0_81
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1217,plain,
( e0 = e3
| ~ spl0_42
| ~ spl0_60 ),
inference(superposition,[],[f468,f390]) ).
fof(f1219,plain,
( e0 = e3
| ~ spl0_42
| ~ spl0_60 ),
inference(superposition,[],[f390,f468]) ).
fof(f1220,plain,
( $false
| ~ spl0_42
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1219,f164]) ).
fof(f1221,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1222,plain,
( $false
| ~ spl0_42
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1217,f164]) ).
fof(f1223,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1225,plain,
( e2 = e3
| ~ spl0_55
| ~ spl0_61 ),
inference(forward_demodulation,[],[f472,f446]) ).
fof(f1227,plain,
( $false
| ~ spl0_55
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1225,f161]) ).
fof(f1228,plain,
( ~ spl0_55
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1232,plain,
( e0 = e3
| ~ spl0_82
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1180,f567]) ).
fof(f1233,plain,
( $false
| spl0_42
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1186,f389]) ).
fof(f1234,plain,
( spl0_42
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1236,plain,
( $false
| ~ spl0_82
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1232,f164]) ).
fof(f1237,plain,
( ~ spl0_82
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1241,plain,
( e3 = op(e3,e0)
| ~ spl0_89 ),
inference(superposition,[],[f73,f610]) ).
fof(f1242,plain,
( e3 = op(e0,e3)
| ~ spl0_89 ),
inference(superposition,[],[f74,f610]) ).
fof(f1243,plain,
( e2 = op(e2,e0)
| ~ spl0_89 ),
inference(superposition,[],[f75,f610]) ).
fof(f1245,plain,
( e1 = op(e1,e0)
| ~ spl0_89 ),
inference(superposition,[],[f77,f610]) ).
fof(f1246,plain,
( e1 = op(e0,e1)
| ~ spl0_89 ),
inference(superposition,[],[f78,f610]) ).
fof(f1248,plain,
( e0 = op(e0,e0)
| ~ spl0_89 ),
inference(superposition,[],[f80,f610]) ).
fof(f1249,plain,
( spl0_37
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1248,f608,f364]) ).
fof(f1250,plain,
( $false
| spl0_47
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1246,f411]) ).
fof(f1251,plain,
( spl0_47
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1252,plain,
( $false
| spl0_50
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1245,f424]) ).
fof(f1253,plain,
( spl0_50
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1254,plain,
( $false
| spl0_57
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1243,f454]) ).
fof(f1255,plain,
( spl0_57
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1256,plain,
( e2 = e3
| ~ spl0_55
| ~ spl0_89 ),
inference(forward_demodulation,[],[f1242,f446]) ).
fof(f1257,plain,
( e0 = e3
| ~ spl0_46
| ~ spl0_89 ),
inference(forward_demodulation,[],[f1241,f407]) ).
fof(f1258,plain,
( $false
| ~ spl0_55
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1256,f161]) ).
fof(f1259,plain,
( ~ spl0_55
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1260,plain,
( $false
| ~ spl0_46
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1257,f164]) ).
fof(f1261,plain,
( ~ spl0_46
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1263,plain,
( e1 = e2
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[],[f535,f517]) ).
fof(f1274,plain,
( $false
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1263,f163]) ).
fof(f1275,plain,
( ~ spl0_71
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1281,plain,
( e2 != op(e1,e0)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f224,f227]) ).
fof(f1287,plain,
( e3 = op(e3,e1)
| ~ spl0_90 ),
inference(superposition,[],[f73,f614]) ).
fof(f1289,plain,
( e2 = op(e2,e1)
| ~ spl0_90 ),
inference(superposition,[],[f75,f614]) ).
fof(f1291,plain,
( e1 = op(e1,e1)
| ~ spl0_90 ),
inference(superposition,[],[f77,f614]) ).
fof(f1292,plain,
( e1 = op(e1,e1)
| ~ spl0_90 ),
inference(superposition,[],[f78,f614]) ).
fof(f1297,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1291,f227]) ).
fof(f1298,plain,
( e1 = e3
| ~ spl0_72
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1287,f521]) ).
fof(f1301,plain,
( $false
| ~ spl0_8
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1297,f166]) ).
fof(f1302,plain,
( ~ spl0_8
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1303,plain,
( $false
| ~ spl0_72
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1298,f162]) ).
fof(f1304,plain,
( ~ spl0_72
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1306,plain,
( e0 = e1
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_demodulation,[],[f577,f567]) ).
fof(f1309,plain,
( e0 = e3
| ~ spl0_68
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1287,f503]) ).
fof(f1316,plain,
( $false
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1306,f166]) ).
fof(f1317,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1318,plain,
( $false
| ~ spl0_68
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1309,f164]) ).
fof(f1319,plain,
( ~ spl0_68
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1335,plain,
( e1 = e2
| ~ spl0_52
| ~ spl0_58 ),
inference(superposition,[],[f459,f433]) ).
fof(f1336,plain,
( e1 = e2
| ~ spl0_52
| ~ spl0_58 ),
inference(superposition,[],[f433,f459]) ).
fof(f1338,plain,
( $false
| ~ spl0_52
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1336,f163]) ).
fof(f1339,plain,
( ~ spl0_52
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1340,plain,
( $false
| ~ spl0_52
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1335,f163]) ).
fof(f1341,plain,
( ~ spl0_52
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1344,plain,
( e0 = e2
| ~ spl0_45
| ~ spl0_57 ),
inference(forward_demodulation,[],[f455,f403]) ).
fof(f1347,plain,
( e1 = e3
| ~ spl0_52
| ~ spl0_64 ),
inference(forward_demodulation,[],[f485,f433]) ).
fof(f1351,plain,
( $false
| ~ spl0_45
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1344,f165]) ).
fof(f1352,plain,
( ~ spl0_45
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1353,plain,
( $false
| ~ spl0_52
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f1347,f162]) ).
fof(f1354,plain,
( ~ spl0_52
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1356,plain,
( e0 = e3
| ~ spl0_44
| ~ spl0_62 ),
inference(forward_demodulation,[],[f477,f399]) ).
fof(f1364,plain,
( $false
| ~ spl0_44
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f1356,f164]) ).
fof(f1365,plain,
( ~ spl0_44
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1380,plain,
( e2 = e3
| ~ spl0_54
| ~ spl0_60 ),
inference(superposition,[],[f468,f442]) ).
fof(f1386,plain,
( $false
| ~ spl0_54
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1380,f161]) ).
fof(f1387,plain,
( ~ spl0_54
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1399,plain,
( e1 = e2
| ~ spl0_69
| ~ spl0_73 ),
inference(superposition,[],[f526,f508]) ).
fof(f1400,plain,
( e1 = e2
| ~ spl0_69
| ~ spl0_73 ),
inference(superposition,[],[f508,f526]) ).
fof(f1402,plain,
( $false
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1400,f163]) ).
fof(f1403,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1404,plain,
( $false
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1399,f163]) ).
fof(f1405,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1407,plain,
( e1 = e3
| ~ spl0_48
| ~ spl0_60 ),
inference(superposition,[],[f416,f468]) ).
fof(f1408,plain,
( e1 = e3
| ~ spl0_48
| ~ spl0_60 ),
inference(superposition,[],[f468,f416]) ).
fof(f1410,plain,
( $false
| ~ spl0_48
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1408,f162]) ).
fof(f1411,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1412,plain,
( $false
| ~ spl0_48
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1407,f162]) ).
fof(f1413,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1430,plain,
( e1 = e2
| ~ spl0_83
| ~ spl0_85 ),
inference(forward_demodulation,[],[f582,f572]) ).
fof(f1431,plain,
( e1 = e2
| ~ spl0_71
| ~ spl0_90 ),
inference(forward_demodulation,[],[f1289,f517]) ).
fof(f1438,plain,
( e3 != op(e1,e2)
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[],[f290,f236]) ).
fof(f1440,plain,
( e2 != op(e1,e2)
| spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f224,f236]) ).
fof(f1441,plain,
( spl0_38
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1292,f612,f369]) ).
fof(f1455,plain,
( $false
| ~ spl0_83
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f1430,f163]) ).
fof(f1456,plain,
( ~ spl0_83
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1457,plain,
( $false
| ~ spl0_71
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1431,f163]) ).
fof(f1458,plain,
( ~ spl0_71
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1472,plain,
( e0 = e1
| ~ spl0_45
| ~ spl0_51 ),
inference(forward_demodulation,[],[f429,f403]) ).
fof(f1473,plain,
( e1 = e2
| ~ spl0_48
| ~ spl0_54 ),
inference(forward_demodulation,[],[f442,f416]) ).
fof(f1488,plain,
( e1 != op(e2,e3)
| spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f202,f336]) ).
fof(f1490,plain,
( e3 != op(e2,op(e2,e3))
| spl0_1
| ~ spl0_32 ),
inference(forward_demodulation,[],[f198,f336]) ).
fof(f1491,plain,
( $false
| ~ spl0_45
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f1472,f166]) ).
fof(f1492,plain,
( ~ spl0_45
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1493,plain,
( $false
| ~ spl0_48
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1473,f163]) ).
fof(f1494,plain,
( ~ spl0_48
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1501,plain,
( e3 != op(e2,e2)
| spl0_1
| ~ spl0_32
| ~ spl0_85 ),
inference(forward_demodulation,[],[f1490,f582]) ).
fof(f1506,plain,
( $false
| spl0_1
| ~ spl0_32
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f1501,f336]) ).
fof(f1507,plain,
( spl0_1
| ~ spl0_32
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1513,plain,
( e0 = e2
| ~ spl0_41
| ~ spl0_53 ),
inference(forward_demodulation,[],[f438,f386]) ).
fof(f1517,plain,
( e1 = e3
| ~ spl0_69
| ~ spl0_77 ),
inference(forward_demodulation,[],[f544,f508]) ).
fof(f1537,plain,
( e3 != op(e2,op(e2,e2))
| spl0_1
| ~ spl0_39 ),
inference(forward_demodulation,[],[f198,f375]) ).
fof(f1538,plain,
( $false
| ~ spl0_41
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1513,f165]) ).
fof(f1539,plain,
( ~ spl0_41
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1538]) ).
fof(f1540,plain,
( $false
| ~ spl0_69
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1517,f162]) ).
fof(f1541,plain,
( ~ spl0_69
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1547,plain,
( e3 != op(e2,e2)
| spl0_1
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1537,f375]) ).
fof(f1553,plain,
( e1 != op(e3,e2)
| ~ spl0_18
| spl0_27
| ~ spl0_58 ),
inference(forward_demodulation,[],[f991,f459]) ).
fof(f1558,plain,
( e0 = e3
| ~ spl0_66
| ~ spl0_78 ),
inference(forward_demodulation,[],[f548,f494]) ).
fof(f1561,plain,
( $false
| spl0_12
| ~ spl0_13
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1066,f438]) ).
fof(f1562,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1567,plain,
( $false
| ~ spl0_66
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1558,f164]) ).
fof(f1568,plain,
( ~ spl0_66
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1570,plain,
( e2 = e3
| ~ spl0_56
| ~ spl0_62 ),
inference(forward_demodulation,[],[f477,f451]) ).
fof(f1572,plain,
( $false
| ~ spl0_56
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f1570,f161]) ).
fof(f1573,plain,
( ~ spl0_56
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1574,plain,
( ~ spl0_56
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1281,f226,f222,f449]) ).
fof(f1580,plain,
( e3 != op(e1,e0)
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[],[f290,f227]) ).
fof(f1584,plain,
( $false
| ~ spl0_8
| spl0_22
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f1580,f477]) ).
fof(f1585,plain,
( ~ spl0_8
| spl0_22
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1586,plain,
( e2 != op(e1,op(e1,e0))
| ~ spl0_8
| spl0_21 ),
inference(forward_demodulation,[],[f286,f227]) ).
fof(f1588,plain,
( e2 != op(e1,e3)
| ~ spl0_8
| spl0_21
| ~ spl0_62 ),
inference(forward_demodulation,[],[f1586,f477]) ).
fof(f1589,plain,
( $false
| ~ spl0_8
| spl0_21
| ~ spl0_62
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1588,f530]) ).
fof(f1590,plain,
( ~ spl0_8
| spl0_21
| ~ spl0_62
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1592,plain,
( e0 = e3
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f294,f227]) ).
fof(f1595,plain,
( $false
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1592,f164]) ).
fof(f1596,plain,
( ~ spl0_8
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1598,plain,
( e3 = op(e2,e3)
| ~ spl0_91 ),
inference(superposition,[],[f74,f618]) ).
fof(f1609,plain,
( e2 = e3
| ~ spl0_85
| ~ spl0_87 ),
inference(forward_demodulation,[],[f592,f582]) ).
fof(f1610,plain,
( e2 = e3
| ~ spl0_85
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1598,f582]) ).
fof(f1611,plain,
( $false
| ~ spl0_85
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f1609,f161]) ).
fof(f1612,plain,
( ~ spl0_85
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1613,plain,
( $false
| ~ spl0_85
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1610,f161]) ).
fof(f1614,plain,
( ~ spl0_85
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1615,plain,
( e0 = e1
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f271,f280]) ).
fof(f1616,plain,
( e0 = e1
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f280,f271]) ).
fof(f1617,plain,
( $false
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1616,f166]) ).
fof(f1618,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1619,plain,
( $false
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1615,f166]) ).
fof(f1620,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1628,plain,
( e0 = e3
| ~ spl0_45
| ~ spl0_63 ),
inference(superposition,[],[f403,f481]) ).
fof(f1633,plain,
( $false
| ~ spl0_45
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1628,f164]) ).
fof(f1634,plain,
( ~ spl0_45
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1635,plain,
( spl0_56
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1125,f226,f222,f449]) ).
fof(f1641,plain,
( e1 = e2
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_demodulation,[],[f587,f577]) ).
fof(f1654,plain,
( $false
| ~ spl0_84
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1641,f163]) ).
fof(f1655,plain,
( ~ spl0_84
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1663,plain,
( e0 = e3
| ~ spl0_3
| ~ spl0_32 ),
inference(forward_demodulation,[],[f336,f205]) ).
fof(f1675,plain,
( e1 != op(e2,e0)
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f202,f205]) ).
fof(f1685,plain,
( $false
| ~ spl0_3
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1663,f164]) ).
fof(f1686,plain,
( ~ spl0_3
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1698,plain,
( e1 = e3
| ~ spl0_71
| ~ spl0_79 ),
inference(forward_demodulation,[],[f553,f517]) ).
fof(f1699,plain,
( $false
| ~ spl0_71
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1698,f162]) ).
fof(f1700,plain,
( ~ spl0_71
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1723,plain,
( e1 = e2
| ~ spl0_51
| ~ spl0_57 ),
inference(superposition,[],[f455,f429]) ).
fof(f1727,plain,
( $false
| ~ spl0_51
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1723,f163]) ).
fof(f1728,plain,
( ~ spl0_51
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1736,plain,
( e3 != op(e2,op(e2,e0))
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f198,f205]) ).
fof(f1737,plain,
( e1 = op(e2,e0)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f201,f205]) ).
fof(f1740,plain,
( e3 != op(e2,e1)
| spl0_1
| ~ spl0_3
| ~ spl0_51 ),
inference(forward_demodulation,[],[f1736,f429]) ).
fof(f1745,plain,
( e1 = e3
| ~ spl0_51
| ~ spl0_63 ),
inference(forward_demodulation,[],[f481,f429]) ).
fof(f1748,plain,
( $false
| ~ spl0_51
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1745,f162]) ).
fof(f1749,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1757,plain,
( e2 = e3
| ~ spl0_15
| ~ spl0_26 ),
inference(superposition,[],[f258,f308]) ).
fof(f1762,plain,
( $false
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1757,f161]) ).
fof(f1763,plain,
( ~ spl0_15
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1766,plain,
( e1 != op(e0,e2)
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f255,f258]) ).
fof(f1769,plain,
( e3 != op(e0,op(e0,e2))
| spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f242,f258]) ).
fof(f1770,plain,
( e1 = op(e0,e2)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f254,f258]) ).
fof(f1772,plain,
( e1 != op(e0,op(e0,e2))
| ~ spl0_15
| spl0_33 ),
inference(forward_demodulation,[],[f342,f258]) ).
fof(f1773,plain,
( e3 != op(e0,e1)
| spl0_11
| ~ spl0_15
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1769,f416]) ).
fof(f1781,plain,
( e0 = e3
| ~ spl0_43
| ~ spl0_61 ),
inference(superposition,[],[f472,f394]) ).
fof(f1783,plain,
( e0 = e3
| ~ spl0_43
| ~ spl0_61 ),
inference(superposition,[],[f394,f472]) ).
fof(f1785,plain,
( $false
| ~ spl0_43
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1783,f164]) ).
fof(f1786,plain,
( ~ spl0_43
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1787,plain,
( $false
| ~ spl0_43
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1781,f164]) ).
fof(f1788,plain,
( ~ spl0_43
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1790,plain,
( e1 = e2
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_demodulation,[],[f539,f521]) ).
fof(f1792,plain,
( $false
| spl0_11
| ~ spl0_15
| ~ spl0_48
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1773,f464]) ).
fof(f1793,plain,
( spl0_11
| ~ spl0_15
| ~ spl0_48
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1796,plain,
( $false
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1790,f163]) ).
fof(f1797,plain,
( ~ spl0_72
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
fof(f1798,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f236,f227]) ).
fof(f1799,plain,
( ~ spl0_77
| ~ spl0_10
| spl0_22 ),
inference(avatar_split_clause,[],[f1438,f288,f235,f542]) ).
fof(f1800,plain,
( ~ spl0_73
| spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1440,f235,f222,f524]) ).
fof(f1805,plain,
( e1 = e3
| ~ spl0_70
| ~ spl0_78 ),
inference(forward_demodulation,[],[f548,f512]) ).
fof(f1806,plain,
( e1 = e3
| ~ spl0_72
| ~ spl0_80 ),
inference(forward_demodulation,[],[f557,f521]) ).
fof(f1810,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f1770,f415]) ).
fof(f1811,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1814,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1798,f165]) ).
fof(f1815,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1814]) ).
fof(f1816,plain,
( $false
| ~ spl0_70
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1805,f162]) ).
fof(f1817,plain,
( ~ spl0_70
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1816]) ).
fof(f1818,plain,
( $false
| ~ spl0_72
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f1806,f162]) ).
fof(f1819,plain,
( ~ spl0_72
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1818]) ).
fof(f1828,plain,
( e1 = e2
| ~ spl0_70
| ~ spl0_74 ),
inference(forward_demodulation,[],[f530,f512]) ).
fof(f1830,plain,
( e2 = e3
| ~ spl0_75
| ~ spl0_79 ),
inference(forward_demodulation,[],[f553,f535]) ).
fof(f1832,plain,
( e0 = e1
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_demodulation,[],[f572,f562]) ).
fof(f1844,plain,
( $false
| ~ spl0_70
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1828,f163]) ).
fof(f1845,plain,
( ~ spl0_70
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1844]) ).
fof(f1846,plain,
( $false
| ~ spl0_75
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1830,f161]) ).
fof(f1847,plain,
( ~ spl0_75
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1846]) ).
fof(f1848,plain,
( $false
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1832,f166]) ).
fof(f1849,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1859,plain,
( e0 = e2
| ~ spl0_68
| ~ spl0_76 ),
inference(forward_demodulation,[],[f539,f503]) ).
fof(f1862,plain,
( e1 = e3
| ~ spl0_84
| ~ spl0_88 ),
inference(forward_demodulation,[],[f597,f577]) ).
fof(f1869,plain,
( $false
| ~ spl0_68
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1859,f165]) ).
fof(f1870,plain,
( ~ spl0_68
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1871,plain,
( $false
| ~ spl0_84
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f1862,f162]) ).
fof(f1872,plain,
( ~ spl0_84
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1875,plain,
( spl0_51
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1737,f204,f200,f427]) ).
fof(f1883,plain,
( ~ spl0_79
| spl0_1
| ~ spl0_3
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1740,f427,f204,f196,f551]) ).
fof(f1900,plain,
( e1 != op(e0,e3)
| ~ spl0_15
| spl0_33
| ~ spl0_60 ),
inference(forward_demodulation,[],[f1772,f468]) ).
fof(f1907,plain,
( $false
| ~ spl0_15
| spl0_33
| ~ spl0_49
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1900,f420]) ).
fof(f1908,plain,
( ~ spl0_15
| spl0_33
| ~ spl0_49
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1911,plain,
( e3 != op(e0,e2)
| ~ spl0_15
| spl0_25 ),
inference(forward_demodulation,[],[f304,f258]) ).
fof(f1916,plain,
( $false
| ~ spl0_15
| spl0_25
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1911,f468]) ).
fof(f1917,plain,
( ~ spl0_15
| spl0_25
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1937,plain,
( ~ spl0_51
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1675,f204,f200,f427]) ).
fof(f1962,plain,
( e0 = e2
| ~ spl0_18
| ~ spl0_29 ),
inference(superposition,[],[f322,f271]) ).
fof(f1963,plain,
( e0 = e2
| ~ spl0_18
| ~ spl0_29 ),
inference(superposition,[],[f271,f322]) ).
fof(f1965,plain,
( $false
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1963,f165]) ).
fof(f1966,plain,
( ~ spl0_18
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1965]) ).
fof(f1967,plain,
( $false
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1962,f165]) ).
fof(f1968,plain,
( ~ spl0_18
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1989,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_50 ),
inference(superposition,[],[f399,f425]) ).
fof(f1993,plain,
( $false
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1989,f166]) ).
fof(f1994,plain,
( ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f1998,plain,
( e0 = e1
| ~ spl0_41
| ~ spl0_47 ),
inference(superposition,[],[f412,f386]) ).
fof(f1999,plain,
( e0 = e1
| ~ spl0_41
| ~ spl0_47 ),
inference(superposition,[],[f386,f412]) ).
fof(f2000,plain,
( $false
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1999,f166]) ).
fof(f2001,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2000]) ).
fof(f2002,plain,
( $false
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1998,f166]) ).
fof(f2003,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2010,plain,
( $false
| ~ spl0_18
| spl0_27
| ~ spl0_58
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1553,f577]) ).
fof(f2011,plain,
( ~ spl0_18
| spl0_27
| ~ spl0_58
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2026,plain,
( e3 != op(e0,op(e0,e1))
| spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f242,f249]) ).
fof(f2063,plain,
( e1 = e3
| ~ spl0_83
| ~ spl0_87 ),
inference(superposition,[],[f592,f572]) ).
fof(f2068,plain,
( $false
| ~ spl0_83
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f2063,f162]) ).
fof(f2069,plain,
( ~ spl0_83
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2072,plain,
( e0 != op(e3,e2)
| ~ spl0_18 ),
inference(superposition,[],[f113,f271]) ).
fof(f2082,plain,
( e0 != op(e2,e1)
| ~ spl0_3 ),
inference(superposition,[],[f121,f205]) ).
fof(f2085,plain,
( e2 != op(e2,e0)
| ~ spl0_75 ),
inference(superposition,[],[f124,f535]) ).
fof(f2106,plain,
( e0 != op(e0,e0)
| ~ spl0_41 ),
inference(superposition,[],[f136,f386]) ).
fof(f2108,plain,
( e0 != op(e2,e3)
| ~ spl0_18 ),
inference(superposition,[],[f137,f271]) ).
fof(f2109,plain,
( e0 != op(e1,e3)
| ~ spl0_18 ),
inference(superposition,[],[f138,f271]) ).
fof(f2119,plain,
( e0 != op(e1,e2)
| ~ spl0_3 ),
inference(superposition,[],[f145,f205]) ).
fof(f2146,plain,
( e0 = op(e1,e1)
| ~ spl0_9
| ~ spl0_38 ),
inference(superposition,[],[f232,f370]) ).
fof(f2147,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2146,f228]) ).
fof(f2148,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2159,plain,
( e2 != op(e3,e0)
| ~ spl0_18
| spl0_28 ),
inference(superposition,[],[f318,f271]) ).
fof(f2165,plain,
( $false
| spl0_12
| ~ spl0_26
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f1048,f446]) ).
fof(f2166,plain,
( spl0_12
| ~ spl0_26
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2173,plain,
( ~ spl0_83
| spl0_2
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1488,f335,f200,f570]) ).
fof(f2216,plain,
( e2 = op(e0,e3)
| ~ spl0_12
| ~ spl0_26 ),
inference(forward_demodulation,[],[f245,f308]) ).
fof(f2219,plain,
( e1 != op(e0,op(e0,e3))
| ~ spl0_26
| spl0_33 ),
inference(forward_demodulation,[],[f342,f308]) ).
fof(f2225,plain,
( e1 != op(e0,e2)
| ~ spl0_26
| spl0_33
| ~ spl0_55 ),
inference(forward_demodulation,[],[f2219,f446]) ).
fof(f2228,plain,
( $false
| ~ spl0_26
| spl0_33
| ~ spl0_48
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f2225,f416]) ).
fof(f2229,plain,
( ~ spl0_26
| spl0_33
| ~ spl0_48
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2232,plain,
( ~ spl0_81
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f2108,f270,f560]) ).
fof(f2233,plain,
( ~ spl0_58
| ~ spl0_18
| spl0_28 ),
inference(avatar_split_clause,[],[f2159,f316,f270,f457]) ).
fof(f2234,plain,
( ~ spl0_82
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f2072,f270,f565]) ).
fof(f2261,plain,
( $false
| ~ spl0_12
| ~ spl0_26
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f2216,f445]) ).
fof(f2262,plain,
( ~ spl0_12
| ~ spl0_26
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f2261]) ).
fof(f2265,plain,
( $false
| ~ spl0_57
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f2085,f455]) ).
fof(f2266,plain,
( ~ spl0_57
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f2265]) ).
fof(f2274,plain,
( e0 != op(e1,op(e1,e3))
| ~ spl0_23
| spl0_36 ),
inference(forward_demodulation,[],[f360,f294]) ).
fof(f2275,plain,
( e2 != op(e1,e3)
| spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f224,f294]) ).
fof(f2285,plain,
( e0 != op(e1,e2)
| ~ spl0_23
| spl0_36
| ~ spl0_74 ),
inference(forward_demodulation,[],[f2274,f530]) ).
fof(f2286,plain,
( $false
| spl0_7
| ~ spl0_23
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f2275,f530]) ).
fof(f2287,plain,
( spl0_7
| ~ spl0_23
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2288,plain,
( $false
| ~ spl0_23
| spl0_36
| ~ spl0_65
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f2285,f490]) ).
fof(f2289,plain,
( ~ spl0_23
| spl0_36
| ~ spl0_65
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
fof(f2292,plain,
( $false
| ~ spl0_3
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2119,f490]) ).
fof(f2293,plain,
( ~ spl0_3
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2295,plain,
( ~ spl0_67
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2082,f204,f497]) ).
fof(f2304,plain,
( e0 = e1
| ~ spl0_65
| ~ spl0_69 ),
inference(forward_demodulation,[],[f508,f490]) ).
fof(f2305,plain,
( e0 = e1
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_demodulation,[],[f521,f503]) ).
fof(f2319,plain,
( e0 != op(e1,e2)
| spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f233,f236]) ).
fof(f2329,plain,
( $false
| ~ spl0_65
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f2304,f166]) ).
fof(f2330,plain,
( ~ spl0_65
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2331,plain,
( $false
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f2305,f166]) ).
fof(f2332,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2347,plain,
( e0 = e1
| ~ spl0_46
| ~ spl0_52 ),
inference(forward_demodulation,[],[f433,f407]) ).
fof(f2351,plain,
( e0 = e1
| ~ spl0_67
| ~ spl0_71 ),
inference(forward_demodulation,[],[f517,f499]) ).
fof(f2372,plain,
( $false
| ~ spl0_46
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2347,f166]) ).
fof(f2373,plain,
( ~ spl0_46
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2372]) ).
fof(f2374,plain,
( $false
| ~ spl0_67
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f2351,f166]) ).
fof(f2375,plain,
( ~ spl0_67
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2381,plain,
( $false
| spl0_1
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1547,f336]) ).
fof(f2382,plain,
( spl0_1
| ~ spl0_32
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2381]) ).
fof(f2384,plain,
( ~ spl0_65
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2319,f235,f231,f488]) ).
fof(f2386,plain,
( ~ spl0_48
| spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1766,f257,f253,f414]) ).
fof(f2387,plain,
( e0 = e2
| ~ spl0_15
| ~ spl0_37 ),
inference(forward_demodulation,[],[f258,f365]) ).
fof(f2390,plain,
( ~ spl0_66
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f2109,f270,f492]) ).
fof(f2408,plain,
( $false
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2106,f365]) ).
fof(f2409,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2412,plain,
( e1 = e2
| ~ spl0_49
| ~ spl0_55 ),
inference(forward_demodulation,[],[f446,f420]) ).
fof(f2417,plain,
( e0 = e3
| ~ spl0_41
| ~ spl0_59 ),
inference(forward_demodulation,[],[f464,f386]) ).
fof(f2434,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl0_11
| ~ spl0_37 ),
inference(forward_demodulation,[],[f241,f365]) ).
fof(f2438,plain,
( $false
| ~ spl0_15
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2387,f165]) ).
fof(f2439,plain,
( ~ spl0_15
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2445,plain,
( $false
| ~ spl0_49
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f2412,f163]) ).
fof(f2446,plain,
( ~ spl0_49
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f2445]) ).
fof(f2447,plain,
( $false
| ~ spl0_41
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f2417,f164]) ).
fof(f2448,plain,
( ~ spl0_41
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2450,plain,
( op(e0,e0) = e3
| ~ spl0_11
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2434,f365]) ).
fof(f2453,plain,
( e0 = e3
| ~ spl0_11
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2450,f365]) ).
fof(f2456,plain,
( $false
| ~ spl0_11
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2453,f164]) ).
fof(f2457,plain,
( ~ spl0_11
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2485,plain,
( e1 != op(e0,e3)
| spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[],[f255,f308]) ).
fof(f2488,plain,
( e3 = op(e0,op(e0,e3))
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f241,f308]) ).
fof(f2497,plain,
( e0 != op(e1,e3)
| spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f233,f294]) ).
fof(f2500,plain,
( $false
| spl0_14
| ~ spl0_26
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2485,f420]) ).
fof(f2501,plain,
( spl0_14
| ~ spl0_26
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2500]) ).
fof(f2504,plain,
( e3 = op(e0,e1)
| ~ spl0_11
| ~ spl0_26
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2488,f420]) ).
fof(f2507,plain,
( $false
| spl0_9
| ~ spl0_23
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f2497,f494]) ).
fof(f2508,plain,
( spl0_9
| ~ spl0_23
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f2507]) ).
fof(f2511,plain,
( e2 = e3
| ~ spl0_11
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_demodulation,[],[f2504,f438]) ).
fof(f2512,plain,
( $false
| ~ spl0_11
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f2511,f161]) ).
fof(f2513,plain,
( ~ spl0_11
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f2512]) ).
fof(f2520,plain,
( e2 != op(e1,op(e1,e3))
| spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f286,f294]) ).
fof(f2521,plain,
( e2 != op(e0,op(e0,e3))
| spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f300,f308]) ).
fof(f2531,plain,
( e2 != op(e1,e0)
| spl0_21
| ~ spl0_23
| ~ spl0_66 ),
inference(forward_demodulation,[],[f2520,f494]) ).
fof(f2532,plain,
( e2 != op(e0,e1)
| spl0_24
| ~ spl0_26
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2521,f420]) ).
fof(f2541,plain,
( $false
| spl0_21
| ~ spl0_23
| ~ spl0_56
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f2531,f451]) ).
fof(f2542,plain,
( spl0_21
| ~ spl0_23
| ~ spl0_56
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f2541]) ).
fof(f2543,plain,
( $false
| spl0_24
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f2532,f438]) ).
fof(f2544,plain,
( spl0_24
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2549,plain,
( ~ spl0_79
| ~ spl0_5
| spl0_31 ),
inference(avatar_split_clause,[],[f712,f330,f213,f551]) ).
fof(f2554,plain,
( e3 != op(e0,e2)
| spl0_11
| ~ spl0_13
| ~ spl0_53 ),
inference(forward_demodulation,[],[f2026,f438]) ).
fof(f2597,plain,
( e3 != op(e0,e2)
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f242,f245]) ).
fof(f2602,plain,
( $false
| spl0_11
| ~ spl0_13
| ~ spl0_53
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2554,f468]) ).
fof(f2603,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_53
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2602]) ).
fof(f2611,plain,
( $false
| spl0_11
| ~ spl0_12
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2597,f468]) ).
fof(f2612,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f207]) ).
cnf(s5,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f251]) ).
cnf(s6,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f260]) ).
cnf(s9,plain,
( ~ spl0_8
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f291]) ).
cnf(s10,plain,
( ~ spl0_9
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f296]) ).
cnf(s11,plain,
( ~ spl0_13
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f305]) ).
cnf(s12,plain,
( ~ spl0_14
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f310]) ).
cnf(s13,plain,
( ~ spl0_18
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f319]) ).
cnf(s17,plain,
( ~ spl0_15
| ~ spl0_25
| ~ spl0_33 ),
inference(sat_conversion,[],[f343]) ).
cnf(s18,plain,
( ~ spl0_12
| ~ spl0_26
| ~ spl0_33 ),
inference(sat_conversion,[],[f344]) ).
cnf(s19,plain,
( ~ spl0_20
| ~ spl0_28
| ~ spl0_34 ),
inference(sat_conversion,[],[f349]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f355]) ).
cnf(s23,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_36 ),
inference(sat_conversion,[],[f361]) ).
cnf(s24,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f362]) ).
cnf(s25,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f367]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_20
| ~ spl0_38 ),
inference(sat_conversion,[],[f372]) ).
cnf(s27,plain,
( ~ spl0_10
| ~ spl0_15
| ~ spl0_29
| ~ spl0_39 ),
inference(sat_conversion,[],[f377]) ).
cnf(s28,plain,
( ~ spl0_23
| ~ spl0_26
| ~ spl0_32
| ~ spl0_40 ),
inference(sat_conversion,[],[f382]) ).
cnf(s31,plain,
( spl0_13
| spl0_47
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f421]) ).
cnf(s32,plain,
( spl0_13
| spl0_50
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f434]) ).
cnf(s33,plain,
( spl0_15
| spl0_53
| spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f447]) ).
cnf(s34,plain,
( spl0_15
| spl0_56
| spl0_57
| spl0_58 ),
inference(sat_conversion,[],[f460]) ).
cnf(s35,plain,
( spl0_26
| spl0_59
| spl0_60
| spl0_61 ),
inference(sat_conversion,[],[f473]) ).
cnf(s36,plain,
( spl0_26
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f486]) ).
cnf(s37,plain,
( spl0_8
| spl0_44
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f495]) ).
cnf(s38,plain,
( spl0_8
| spl0_41
| spl0_67
| spl0_68 ),
inference(sat_conversion,[],[f504]) ).
cnf(s41,plain,
( spl0_10
| spl0_56
| spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f531]) ).
cnf(s42,plain,
( spl0_10
| spl0_53
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f540]) ).
cnf(s43,plain,
( spl0_23
| spl0_62
| spl0_77
| spl0_78 ),
inference(sat_conversion,[],[f549]) ).
cnf(s44,plain,
( spl0_23
| spl0_59
| spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f558]) ).
cnf(s45,plain,
( spl0_3
| spl0_45
| spl0_67
| spl0_81 ),
inference(sat_conversion,[],[f563]) ).
cnf(s46,plain,
( spl0_3
| spl0_42
| spl0_65
| spl0_82 ),
inference(sat_conversion,[],[f568]) ).
cnf(s47,plain,
( spl0_5
| spl0_51
| spl0_71
| spl0_83 ),
inference(sat_conversion,[],[f573]) ).
cnf(s48,plain,
( spl0_5
| spl0_48
| spl0_69
| spl0_84 ),
inference(sat_conversion,[],[f578]) ).
cnf(s50,plain,
( spl0_39
| spl0_54
| spl0_73
| spl0_86 ),
inference(sat_conversion,[],[f588]) ).
cnf(s51,plain,
( spl0_32
| spl0_63
| spl0_79
| spl0_87 ),
inference(sat_conversion,[],[f593]) ).
cnf(s52,plain,
( spl0_32
| spl0_60
| spl0_77
| spl0_88 ),
inference(sat_conversion,[],[f598]) ).
cnf(s53,plain,
( spl0_18
| spl0_46
| spl0_68
| spl0_82 ),
inference(sat_conversion,[],[f599]) ).
cnf(s54,plain,
( spl0_18
| spl0_43
| spl0_66
| spl0_81 ),
inference(sat_conversion,[],[f600]) ).
cnf(s55,plain,
( spl0_20
| spl0_52
| spl0_72
| spl0_84 ),
inference(sat_conversion,[],[f601]) ).
cnf(s56,plain,
( spl0_20
| spl0_49
| spl0_70
| spl0_83 ),
inference(sat_conversion,[],[f602]) ).
cnf(s57,plain,
( spl0_29
| spl0_58
| spl0_76
| spl0_86 ),
inference(sat_conversion,[],[f603]) ).
cnf(s58,plain,
( spl0_29
| spl0_55
| spl0_74
| spl0_85 ),
inference(sat_conversion,[],[f604]) ).
cnf(s61,plain,
( spl0_89
| spl0_90
| spl0_91
| spl0_92 ),
inference(sat_conversion,[],[f623]) ).
cnf(s62,plain,
( spl0_13
| spl0_15
| spl0_26
| spl0_37 ),
inference(sat_conversion,[],[f624]) ).
cnf(s64,plain,
( spl0_42
| spl0_48
| spl0_54
| spl0_60 ),
inference(sat_conversion,[],[f626]) ).
cnf(s65,plain,
( spl0_43
| spl0_49
| spl0_55
| spl0_61 ),
inference(sat_conversion,[],[f627]) ).
cnf(s67,plain,
( spl0_8
| spl0_10
| spl0_23
| spl0_38 ),
inference(sat_conversion,[],[f629]) ).
cnf(s72,plain,
( spl0_3
| spl0_5
| spl0_32
| spl0_39 ),
inference(sat_conversion,[],[f634]) ).
cnf(s76,plain,
( spl0_82
| spl0_84
| spl0_86
| spl0_88 ),
inference(sat_conversion,[],[f638]) ).
cnf(s77,plain,
( spl0_18
| spl0_20
| spl0_29
| spl0_40 ),
inference(sat_conversion,[],[f639]) ).
cnf(s78,plain,
( ~ spl0_10
| ~ spl0_23 ),
inference(sat_conversion,[],[f650]) ).
cnf(s79,plain,
( ~ spl0_20
| ~ spl0_29 ),
inference(sat_conversion,[],[f653]) ).
cnf(s80,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(sat_conversion,[],[f655]) ).
cnf(s83,plain,
( ~ spl0_50
| ~ spl0_62 ),
inference(sat_conversion,[],[f663]) ).
cnf(s85,plain,
( ~ spl0_50
| ~ spl0_56 ),
inference(sat_conversion,[],[f682]) ).
cnf(s86,plain,
( ~ spl0_58
| ~ spl0_64 ),
inference(sat_conversion,[],[f684]) ).
cnf(s87,plain,
( ~ spl0_81
| ~ spl0_85 ),
inference(sat_conversion,[],[f686]) ).
cnf(s88,plain,
( ~ spl0_82
| ~ spl0_86 ),
inference(sat_conversion,[],[f688]) ).
cnf(s89,plain,
( ~ spl0_81
| ~ spl0_87 ),
inference(sat_conversion,[],[f690]) ).
cnf(s90,plain,
( ~ spl0_82
| ~ spl0_88 ),
inference(sat_conversion,[],[f692]) ).
cnf(s91,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f694]) ).
cnf(s92,plain,
( ~ spl0_65
| ~ spl0_73 ),
inference(sat_conversion,[],[f704]) ).
cnf(s93,plain,
( ~ spl0_65
| ~ spl0_77 ),
inference(sat_conversion,[],[f706]) ).
cnf(s94,plain,
( ~ spl0_67
| ~ spl0_79 ),
inference(sat_conversion,[],[f708]) ).
cnf(s95,plain,
( ~ spl0_86
| ~ spl0_88 ),
inference(sat_conversion,[],[f710]) ).
cnf(s96,plain,
( ~ spl0_68
| ~ spl0_80 ),
inference(sat_conversion,[],[f721]) ).
cnf(s97,plain,
( ~ spl0_73
| ~ spl0_77 ),
inference(sat_conversion,[],[f723]) ).
cnf(s98,plain,
( ~ spl0_53
| ~ spl0_59 ),
inference(sat_conversion,[],[f729]) ).
cnf(s99,plain,
( ~ spl0_66
| ~ spl0_74 ),
inference(sat_conversion,[],[f731]) ).
cnf(s101,plain,
( ~ spl0_10
| ~ spl0_38 ),
inference(sat_conversion,[],[f741]) ).
cnf(s102,plain,
( ~ spl0_10
| spl0_36
| ~ spl0_66
| ~ spl0_77 ),
inference(sat_conversion,[],[f743]) ).
cnf(s104,plain,
( ~ spl0_5
| spl0_35
| ~ spl0_79
| ~ spl0_81 ),
inference(sat_conversion,[],[f756]) ).
cnf(s106,plain,
( ~ spl0_48
| ~ spl0_89 ),
inference(sat_conversion,[],[f777]) ).
cnf(s107,plain,
( ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f782]) ).
cnf(s108,plain,
( ~ spl0_42
| ~ spl0_89 ),
inference(sat_conversion,[],[f784]) ).
cnf(s109,plain,
( ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f788]) ).
cnf(s110,plain,
( spl0_85
| ~ spl0_92 ),
inference(sat_conversion,[],[f796]) ).
cnf(s112,plain,
( ~ spl0_20
| ~ spl0_92 ),
inference(sat_conversion,[],[f800]) ).
cnf(s113,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(sat_conversion,[],[f811]) ).
cnf(s115,plain,
( ~ spl0_5
| ~ spl0_91 ),
inference(sat_conversion,[],[f815]) ).
cnf(s116,plain,
( spl0_54
| ~ spl0_89 ),
inference(sat_conversion,[],[f822]) ).
cnf(s118,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f832]) ).
cnf(s119,plain,
( ~ spl0_20
| spl0_28
| ~ spl0_76 ),
inference(sat_conversion,[],[f844]) ).
cnf(s120,plain,
( ~ spl0_76
| ~ spl0_80 ),
inference(sat_conversion,[],[f846]) ).
cnf(s123,plain,
( ~ spl0_47
| ~ spl0_59 ),
inference(sat_conversion,[],[f868]) ).
cnf(s124,plain,
( ~ spl0_20
| spl0_34
| ~ spl0_76
| ~ spl0_82 ),
inference(sat_conversion,[],[f871]) ).
cnf(s126,plain,
( ~ spl0_47
| ~ spl0_53 ),
inference(sat_conversion,[],[f881]) ).
cnf(s127,plain,
( spl0_44
| ~ spl0_90 ),
inference(sat_conversion,[],[f898]) ).
cnf(s128,plain,
( spl0_41
| ~ spl0_90 ),
inference(sat_conversion,[],[f899]) ).
cnf(s129,plain,
( spl0_73
| ~ spl0_90 ),
inference(sat_conversion,[],[f901]) ).
cnf(s130,plain,
( ~ spl0_67
| ~ spl0_90 ),
inference(sat_conversion,[],[f906]) ).
cnf(s131,plain,
( ~ spl0_74
| ~ spl0_90 ),
inference(sat_conversion,[],[f908]) ).
cnf(s132,plain,
( ~ spl0_76
| ~ spl0_90 ),
inference(sat_conversion,[],[f910]) ).
cnf(s133,plain,
( ~ spl0_74
| ~ spl0_78 ),
inference(sat_conversion,[],[f918]) ).
cnf(s136,plain,
( spl0_43
| ~ spl0_92 ),
inference(sat_conversion,[],[f952]) ).
cnf(s137,plain,
( ~ spl0_66
| ~ spl0_92 ),
inference(sat_conversion,[],[f957]) ).
cnf(s139,plain,
( ~ spl0_29
| ~ spl0_92 ),
inference(sat_conversion,[],[f961]) ).
cnf(s140,plain,
( spl0_70
| ~ spl0_92 ),
inference(sat_conversion,[],[f967]) ).
cnf(s141,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f974]) ).
cnf(s143,plain,
( spl0_86
| ~ spl0_92 ),
inference(sat_conversion,[],[f987]) ).
cnf(s148,plain,
( ~ spl0_18
| ~ spl0_92 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s151,plain,
( spl0_11
| ~ spl0_26
| ~ spl0_61 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s156,plain,
( spl0_11
| ~ spl0_26
| ~ spl0_43 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s158,plain,
( ~ spl0_13
| ~ spl0_26 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s159,plain,
( ~ spl0_46
| ~ spl0_64 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s162,plain,
( spl0_46
| ~ spl0_92 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s163,plain,
( ~ spl0_57
| ~ spl0_63 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s165,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_63
| ~ spl0_67 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s168,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s169,plain,
( ~ spl0_44
| ~ spl0_56 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s173,plain,
( ~ spl0_42
| ~ spl0_54 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s174,plain,
( ~ spl0_42
| ~ spl0_54 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s175,plain,
( ~ spl0_43
| ~ spl0_55 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s176,plain,
( ~ spl0_13
| spl0_24
| ~ spl0_55
| ~ spl0_59 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s177,plain,
( ~ spl0_1
| ~ spl0_39 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s178,plain,
( ~ spl0_13
| spl0_25
| ~ spl0_59 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s180,plain,
( spl0_45
| ~ spl0_91 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s181,plain,
( spl0_71
| ~ spl0_91 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s182,plain,
( spl0_69
| ~ spl0_91 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s184,plain,
( ~ spl0_84
| ~ spl0_91 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s185,plain,
( ~ spl0_81
| ~ spl0_91 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s186,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s187,plain,
( ~ spl0_42
| ~ spl0_60 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s188,plain,
( ~ spl0_55
| ~ spl0_61 ),
inference(sat_conversion,[],[f1228]) ).
cnf(s189,plain,
( spl0_42
| ~ spl0_91 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s190,plain,
( ~ spl0_82
| ~ spl0_91 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s191,plain,
( spl0_37
| ~ spl0_89 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s193,plain,
( spl0_47
| ~ spl0_89 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s194,plain,
( spl0_50
| ~ spl0_89 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s195,plain,
( spl0_57
| ~ spl0_89 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s196,plain,
( ~ spl0_55
| ~ spl0_89 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s197,plain,
( ~ spl0_46
| ~ spl0_89 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s198,plain,
( ~ spl0_71
| ~ spl0_75 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s202,plain,
( ~ spl0_8
| ~ spl0_90 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s203,plain,
( ~ spl0_72
| ~ spl0_90 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s204,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s205,plain,
( ~ spl0_68
| ~ spl0_90 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s207,plain,
( ~ spl0_52
| ~ spl0_58 ),
inference(sat_conversion,[],[f1339]) ).
cnf(s208,plain,
( ~ spl0_52
| ~ spl0_58 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s210,plain,
( ~ spl0_45
| ~ spl0_57 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s211,plain,
( ~ spl0_52
| ~ spl0_64 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s213,plain,
( ~ spl0_44
| ~ spl0_62 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s215,plain,
( ~ spl0_54
| ~ spl0_60 ),
inference(sat_conversion,[],[f1387]) ).
cnf(s218,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s219,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s220,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(sat_conversion,[],[f1411]) ).
cnf(s221,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s222,plain,
( spl0_38
| ~ spl0_90 ),
inference(sat_conversion,[],[f1441]) ).
cnf(s228,plain,
( ~ spl0_83
| ~ spl0_85 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s229,plain,
( ~ spl0_71
| ~ spl0_90 ),
inference(sat_conversion,[],[f1458]) ).
cnf(s232,plain,
( ~ spl0_45
| ~ spl0_51 ),
inference(sat_conversion,[],[f1492]) ).
cnf(s233,plain,
( ~ spl0_48
| ~ spl0_54 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s236,plain,
( spl0_1
| ~ spl0_32
| ~ spl0_85 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s239,plain,
( ~ spl0_41
| ~ spl0_53 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s240,plain,
( ~ spl0_69
| ~ spl0_77 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s244,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_53 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s245,plain,
( ~ spl0_66
| ~ spl0_78 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s246,plain,
( ~ spl0_56
| ~ spl0_62 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s247,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_56 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s250,plain,
( ~ spl0_8
| spl0_22
| ~ spl0_62 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s251,plain,
( ~ spl0_8
| spl0_21
| ~ spl0_62
| ~ spl0_74 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s254,plain,
( ~ spl0_8
| ~ spl0_23 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s256,plain,
( ~ spl0_85
| ~ spl0_87 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s257,plain,
( ~ spl0_85
| ~ spl0_91 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s258,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s259,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s261,plain,
( ~ spl0_45
| ~ spl0_63 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s262,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_56 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s267,plain,
( ~ spl0_84
| ~ spl0_86 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s273,plain,
( ~ spl0_3
| ~ spl0_32 ),
inference(sat_conversion,[],[f1686]) ).
cnf(s276,plain,
( ~ spl0_71
| ~ spl0_79 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s278,plain,
( ~ spl0_51
| ~ spl0_57 ),
inference(sat_conversion,[],[f1728]) ).
cnf(s281,plain,
( ~ spl0_51
| ~ spl0_63 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s285,plain,
( ~ spl0_15
| ~ spl0_26 ),
inference(sat_conversion,[],[f1763]) ).
cnf(s288,plain,
( ~ spl0_43
| ~ spl0_61 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s289,plain,
( ~ spl0_43
| ~ spl0_61 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s290,plain,
( spl0_11
| ~ spl0_15
| ~ spl0_48
| ~ spl0_59 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s292,plain,
( ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s293,plain,
( ~ spl0_10
| spl0_22
| ~ spl0_77 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s294,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_73 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s295,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s296,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f1815]) ).
cnf(s297,plain,
( ~ spl0_70
| ~ spl0_78 ),
inference(sat_conversion,[],[f1817]) ).
cnf(s298,plain,
( ~ spl0_72
| ~ spl0_80 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s300,plain,
( ~ spl0_70
| ~ spl0_74 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s301,plain,
( ~ spl0_75
| ~ spl0_79 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s302,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s304,plain,
( ~ spl0_68
| ~ spl0_76 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s305,plain,
( ~ spl0_84
| ~ spl0_88 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s306,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_51 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s308,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_51
| ~ spl0_79 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s314,plain,
( ~ spl0_15
| spl0_33
| ~ spl0_49
| ~ spl0_60 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s315,plain,
( ~ spl0_15
| spl0_25
| ~ spl0_60 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s318,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_51 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s321,plain,
( ~ spl0_18
| ~ spl0_29 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s322,plain,
( ~ spl0_18
| ~ spl0_29 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s325,plain,
( ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s326,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s327,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s329,plain,
( ~ spl0_18
| spl0_27
| ~ spl0_58
| ~ spl0_84 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s332,plain,
( ~ spl0_83
| ~ spl0_87 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s333,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_38 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s335,plain,
( spl0_12
| ~ spl0_26
| ~ spl0_55 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s337,plain,
( spl0_2
| ~ spl0_32
| ~ spl0_83 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s341,plain,
( ~ spl0_26
| spl0_33
| ~ spl0_48
| ~ spl0_55 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s342,plain,
( ~ spl0_18
| ~ spl0_81 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s343,plain,
( ~ spl0_18
| spl0_28
| ~ spl0_58 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s344,plain,
( ~ spl0_18
| ~ spl0_82 ),
inference(sat_conversion,[],[f2234]) ).
cnf(s346,plain,
( ~ spl0_12
| ~ spl0_26
| spl0_55 ),
inference(sat_conversion,[],[f2262]) ).
cnf(s347,plain,
( ~ spl0_57
| ~ spl0_75 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s350,plain,
( spl0_7
| ~ spl0_23
| ~ spl0_74 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s351,plain,
( ~ spl0_23
| spl0_36
| ~ spl0_65
| ~ spl0_74 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s352,plain,
( ~ spl0_3
| ~ spl0_65 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s353,plain,
( ~ spl0_3
| ~ spl0_67 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s355,plain,
( ~ spl0_65
| ~ spl0_69 ),
inference(sat_conversion,[],[f2330]) ).
cnf(s356,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s365,plain,
( ~ spl0_46
| ~ spl0_52 ),
inference(sat_conversion,[],[f2373]) ).
cnf(s366,plain,
( ~ spl0_67
| ~ spl0_71 ),
inference(sat_conversion,[],[f2375]) ).
cnf(s369,plain,
( spl0_1
| ~ spl0_32
| ~ spl0_39 ),
inference(sat_conversion,[],[f2382]) ).
cnf(s370,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_65 ),
inference(sat_conversion,[],[f2384]) ).
cnf(s371,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f2386]) ).
cnf(s373,plain,
( ~ spl0_18
| ~ spl0_66 ),
inference(sat_conversion,[],[f2390]) ).
cnf(s380,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(sat_conversion,[],[f2409]) ).
cnf(s381,plain,
( ~ spl0_15
| ~ spl0_37 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s384,plain,
( ~ spl0_49
| ~ spl0_55 ),
inference(sat_conversion,[],[f2446]) ).
cnf(s385,plain,
( ~ spl0_41
| ~ spl0_59 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s387,plain,
( ~ spl0_11
| ~ spl0_37 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s392,plain,
( spl0_14
| ~ spl0_26
| ~ spl0_49 ),
inference(sat_conversion,[],[f2501]) ).
cnf(s393,plain,
( spl0_9
| ~ spl0_23
| ~ spl0_66 ),
inference(sat_conversion,[],[f2508]) ).
cnf(s395,plain,
( ~ spl0_11
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(sat_conversion,[],[f2513]) ).
cnf(s398,plain,
( spl0_21
| ~ spl0_23
| ~ spl0_56
| ~ spl0_66 ),
inference(sat_conversion,[],[f2542]) ).
cnf(s399,plain,
( spl0_24
| ~ spl0_26
| ~ spl0_49
| ~ spl0_53 ),
inference(sat_conversion,[],[f2544]) ).
cnf(s404,plain,
( ~ spl0_5
| spl0_31
| ~ spl0_79 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s409,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_53
| ~ spl0_60 ),
inference(sat_conversion,[],[f2603]) ).
cnf(s410,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_60 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s411,plain,
( ~ spl0_89
| spl0_26
| spl0_20
| spl0_18
| spl0_10 ),
inference(rat,[],[s204,s55,s53,s292,s304,s211,s42,s36,s126,s83,s163,s347,s193,s194,s195,s197]) ).
cnf(s412,plain,
( spl0_42
| spl0_32
| spl0_89
| spl0_90
| spl0_5
| spl0_3 ),
inference(rat,[],[s220,s52,s48,s93,s355,s46,s88,s95,s267,s143,s61,s189]) ).
cnf(s413,plain,
( ~ spl0_82
| spl0_89
| spl0_90 ),
inference(rat,[],[s143,s61,s88,s190]) ).
cnf(s414,plain,
( ~ spl0_86
| spl0_48
| spl0_60
| spl0_32
| spl0_5 ),
inference(rat,[],[s240,s52,s48,s95,s267]) ).
cnf(s415,plain,
( spl0_86
| spl0_29
| spl0_89
| spl0_41
| spl0_20
| spl0_8 ),
inference(rat,[],[s207,s57,s55,s304,s356,s38,s366,s181,s184,s61,s143,s128]) ).
cnf(s416,plain,
( ~ spl0_86
| spl0_89
| spl0_90
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s414,s109,s187,s412,s236,s110,s61,s113]) ).
cnf(s418,plain,
( ~ spl0_26
| spl0_14
| spl0_12
| spl0_11 ),
inference(rat,[],[s65,s151,s156,s335,s392]) ).
cnf(s419,plain,
( spl0_89
| ~ spl0_20
| spl0_41
| spl0_26
| spl0_13
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s83,s36,s32,s86,s208,s57,s304,s38,s232,s261,s366,s180,s181,s61,s416,s128,s112,s79]) ).
cnf(s421,plain,
( spl0_89
| ~ spl0_18
| spl0_41
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s415,s416,s128,s322,s259]) ).
cnf(s422,plain,
( ~ spl0_18
| spl0_41
| spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s350,s44,s41,s120,s94,s92,s42,s45,s46,s123,s126,s85,s210,s347,s108,s193,s194,s195,s421,s342,s344]) ).
cnf(s423,plain,
( spl0_89
| spl0_15
| spl0_26
| spl0_13
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s246,s34,s36,s208,s211,s55,s356,s38,s210,s261,s366,s180,s181,s184,s61,s143,s419,s416,s128,s380,s62]) ).
cnf(s424,plain,
( spl0_15
| spl0_26
| spl0_13
| spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s124,s19,s53,s119,s304,s42,s126,s347,s411,s193,s195,s197,s423,s422,s380,s62]) ).
cnf(s425,plain,
( spl0_41
| spl0_26
| spl0_13
| spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s41,s350,s246,s44,s36,s98,s211,s42,s55,s96,s304,s356,s38,s261,s198,s276,s366,s219,s180,s181,s182,s184,s61,s143,s416,s419,s128,s191,s381,s424]) ).
cnf(s426,plain,
( ~ spl0_91
| spl0_18
| spl0_43
| spl0_53
| spl0_59
| spl0_10
| spl0_9 ),
inference(rat,[],[s120,s44,s42,s393,s198,s276,s54,s181,s185]) ).
cnf(s427,plain,
( spl0_18
| spl0_43
| spl0_53
| spl0_59
| spl0_89
| spl0_48
| spl0_26
| spl0_13
| spl0_10
| spl0_9
| spl0_5 ),
inference(rat,[],[s281,s36,s32,s159,s365,s53,s204,s48,s213,s325,s219,s127,s129,s205,s61,s426,s136]) ).
cnf(s428,plain,
( ~ spl0_91
| spl0_29
| spl0_66
| spl0_55
| spl0_8
| spl0_7 ),
inference(rat,[],[s213,s43,s37,s350,s133,s240,s355,s58,s182,s257]) ).
cnf(s429,plain,
( spl0_14
| spl0_13
| spl0_12
| spl0_11
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s51,s261,s236,s256,s301,s45,s58,s42,s130,s131,s132,s61,s428,s322,s342,s373,s427,s136,s107,s384,s31,s239,s327,s385,s425,s191,s371,s381,s424,s418]) ).
cnf(s430,plain,
( spl0_26
| ~ spl0_14
| spl0_13
| spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s211,s36,s55,s281,s79,s47,s58,s337,s236,s52,s90,s204,s46,s213,s92,s97,s127,s129,s131,s203,s229,s61,s136,s188,s289,s189,s35,s109,s221,s191,s385,s295,s381,s425,s424]) ).
cnf(s431,plain,
( ~ spl0_73
| ~ spl0_54
| spl0_5
| spl0_3 ),
inference(rat,[],[s204,s46,s48,s92,s219,s233,s174]) ).
cnf(s432,plain,
( spl0_13
| spl0_12
| spl0_11
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s94,s44,s38,s350,s120,s304,s41,s42,s123,s327,s85,s347,s193,s194,s195,s61,s129,s431,s189,s174,s33,s399,s65,s136,s12,s151,s156,s285,s335,s430,s429]) ).
cnf(s433,plain,
( ~ spl0_91
| spl0_26
| spl0_15
| spl0_53
| spl0_10
| spl0_8 ),
inference(rat,[],[s385,s38,s35,s304,s188,s42,s33,s198,s366,s174,s187,s181,s189]) ).
cnf(s434,plain,
( spl0_90
| spl0_91
| spl0_89
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s143,s61,s416]) ).
cnf(s435,plain,
( spl0_12
| spl0_11
| spl0_1
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2 ),
inference(rat,[],[s204,s46,s48,s187,s221,s35,s188,s33,s385,s431,s92,s219,s128,s129,s434,s433,s191,s141,s158,s168,s244,s432]) ).
cnf(s436,plain,
( ~ spl0_41
| ~ spl0_91
| spl0_26
| spl0_60
| spl0_10
| spl0_9
| spl0_8
| spl0_7 ),
inference(rat,[],[s428,s322,s373,s426,s188,s289,s35,s239,s385]) ).
cnf(s437,plain,
( ~ spl0_91
| spl0_26
| spl0_60
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s54,s393,s289,s44,s35,s98,s433,s96,s168,s38,s425,s422,s436,s276,s366,s181,s185]) ).
cnf(s438,plain,
( spl0_89
| spl0_26
| spl0_60
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s236,s58,s52,s322,s305,s427,s48,s371,s430,s168,s33,s188,s289,s35,s239,s385,s431,s97,s219,s128,s129,s131,s434,s437]) ).
cnf(s439,plain,
( spl0_26
| spl0_60
| spl0_1
| spl0_10
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2 ),
inference(rat,[],[s425,s141,s327,s191,s193,s438]) ).
cnf(s440,plain,
( spl0_11
| spl0_10
| spl0_1
| spl0_2
| spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3 ),
inference(rat,[],[s426,s434,s422,s128,s123,s126,s327,s31,s341,s196,s384,s18,s156,s158,s346,s439,s410,s435]) ).
cnf(s441,plain,
( ~ spl0_60
| spl0_89
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s204,s46,s48,s92,s219,s129,s434,s189,s187,s221]) ).
cnf(s442,plain,
( ~ spl0_53
| spl0_48
| ~ spl0_26
| ~ spl0_11 ),
inference(rat,[],[s31,s395,s126,s158]) ).
cnf(s443,plain,
( ~ spl0_91
| ~ spl0_26
| ~ spl0_11
| spl0_10
| spl0_8 ),
inference(rat,[],[s326,s31,s38,s384,s304,s33,s42,s442,s198,s366,s109,s174,s181,s189,s285,s158]) ).
cnf(s444,plain,
( spl0_10
| spl0_9
| spl0_1
| spl0_2
| spl0_3
| spl0_8
| spl0_7
| spl0_5 ),
inference(rat,[],[s341,s18,s31,s335,s384,s33,s239,s327,s431,s128,s129,s434,s443,s158,s285,s439,s441,s191,s387,s440]) ).
cnf(s445,plain,
( spl0_41
| spl0_29
| spl0_13
| spl0_86
| spl0_89
| spl0_26
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s415,s419]) ).
cnf(s446,plain,
( spl0_13
| ~ spl0_39
| spl0_89
| spl0_26
| ~ spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s99,s58,s428,s188,s35,s385,s445,s27,s423,s441,s416,s257,s434,s129,s294]) ).
cnf(s447,plain,
( ~ spl0_59
| ~ spl0_13
| spl0_54 ),
inference(rat,[],[s176,s11,s33,s178,s98,s168]) ).
cnf(s448,plain,
( spl0_89
| spl0_26
| spl0_65
| ~ spl0_10
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s239,s38,s33,s96,s188,s44,s35,s447,s168,s446,s50,s276,s366,s174,s181,s46,s434,s416,s413,s441,s78,s129,s294]) ).
cnf(s449,plain,
( ~ spl0_89
| spl0_23
| spl0_65
| spl0_8
| spl0_5
| spl0_3 ),
inference(rat,[],[s240,s43,s48,s245,s204,s37,s46,s83,s325,s106,s108,s194]) ).
cnf(s450,plain,
( ~ spl0_59
| spl0_48
| spl0_54
| spl0_13
| spl0_15 ),
inference(rat,[],[s384,s33,s31,s98,s123]) ).
cnf(s451,plain,
( spl0_9
| spl0_8
| spl0_1
| spl0_2
| spl0_3
| spl0_5
| spl0_7 ),
inference(rat,[],[s384,s33,s31,s239,s327,s38,s96,s44,s450,s276,s366,s109,s174,s158,s285,s181,s46,s448,s434,s413,s449,s129,s78,s294,s370,s444]) ).
cnf(s452,plain,
( spl0_89
| spl0_26
| ~ spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s37,s398,s169,s41,s350,s10,s67,s448,s219,s355,s182,s434,s222,s333]) ).
cnf(s453,plain,
( spl0_26
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s96,s44,s53,s276,s322,s47,s58,s337,s236,s52,s133,s204,s305,s43,s48,s93,s355,s449,s78,s424,s215,s141,s381,s123,s83,s278,s106,s116,s191,s193,s194,s195,s196,s197,s452,s451]) ).
cnf(s454,plain,
( ~ spl0_41
| ~ spl0_42
| ~ spl0_26 ),
inference(rat,[],[s384,s33,s31,s239,s327,s285,s158,s174,s109]) ).
cnf(s455,plain,
( spl0_89
| ~ spl0_26
| ~ spl0_9
| spl0_8
| spl0_7
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s54,s398,s156,s41,s443,s350,s10,s78,s44,s96,s38,s421,s454,s450,s276,s366,s219,s109,s174,s181,s182,s185,s189,s434,s222,s333,s285,s158]) ).
cnf(s456,plain,
( spl0_23
| ~ spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s96,s44,s53,s276,s322,s47,s58,s337,s236,s52,s133,s204,s305,s43,s48,s93,s355,s449,s197,s196,s106,s278,s195,s83,s194,s123,s193,s215,s116]) ).
cnf(s457,plain,
( spl0_8
| spl0_7
| spl0_1
| spl0_2
| spl0_3
| spl0_5 ),
inference(rat,[],[s41,s350,s78,s456,s431,s85,s116,s194,s455,s453,s451]) ).
cnf(s458,plain,
( ~ spl0_62
| ~ spl0_74
| ~ spl0_8 ),
inference(rat,[],[s9,s250,s251]) ).
cnf(s459,plain,
( ~ spl0_69
| spl0_56
| ~ spl0_8 ),
inference(rat,[],[s458,s43,s133,s41,s219,s240,s296,s254]) ).
cnf(s460,plain,
( spl0_7
| spl0_5
| spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s93,s43,s46,s133,s204,s41,s48,s431,s83,s106,s108,s116,s194,s434,s182,s459,s202,s247,s254,s296,s457]) ).
cnf(s461,plain,
( spl0_13
| spl0_26
| ~ spl0_10
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s83,s32,s43,s208,s133,s57,s58,s120,s188,s44,s35,s385,s445,s27,s423,s441,s78,s257,s240,s276,s181,s232,s180,s50,s174,s189,s219,s182,s434,s416,s222,s101]) ).
cnf(s462,plain,
( spl0_26
| ~ spl0_10
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s239,s38,s33,s96,s188,s44,s35,s447,s168,s461,s441,s78,s174,s189,s366,s276,s181,s434,s222,s101]) ).
cnf(s463,plain,
( ~ spl0_10
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s96,s44,s38,s450,s454,s158,s285,s462,s276,s366,s109,s174,s181,s189,s434,s222,s78,s101]) ).
cnf(s464,plain,
( ~ spl0_68
| spl0_23
| ~ spl0_71
| spl0_10 ),
inference(rat,[],[s98,s44,s42,s96,s304,s276,s198]) ).
cnf(s465,plain,
( spl0_23
| ~ spl0_71
| spl0_10
| spl0_8 ),
inference(rat,[],[s120,s42,s44,s239,s385,s38,s464,s366,s276,s198]) ).
cnf(s466,plain,
( ~ spl0_62
| ~ spl0_69
| spl0_10
| spl0_8 ),
inference(rat,[],[s99,s37,s41,s213,s246,s355,s219]) ).
cnf(s467,plain,
( ~ spl0_91
| spl0_13
| spl0_26
| spl0_10
| spl0_8 ),
inference(rat,[],[s99,s41,s37,s85,s325,s32,s211,s36,s466,s232,s261,s219,s355,s180,s182]) ).
cnf(s468,plain,
( spl0_48
| spl0_53
| spl0_59
| spl0_77
| spl0_69
| spl0_9
| spl0_74
| spl0_13
| spl0_26
| spl0_10
| spl0_60
| spl0_89
| spl0_5
| spl0_1 ),
inference(rat,[],[s236,s58,s52,s322,s305,s427,s48,s289,s188,s35]) ).
cnf(s469,plain,
( spl0_13
| spl0_26
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s211,s55,s36,s79,s281,s58,s47,s87,s302,s54,s204,s344,s46,s109,s468,s245,s188,s289,s43,s35,s213,s239,s385,s92,s97,s219,s333,s91,s127,s128,s129,s131,s203,s222,s229,s434,s467,s441,s463]) ).
cnf(s470,plain,
( ~ spl0_91
| spl0_15
| spl0_26
| spl0_10
| spl0_8 ),
inference(rat,[],[s79,s57,s55,s304,s356,s86,s211,s38,s36,s239,s261,s366,s466,s433,s113,s180,s181,s182,s184]) ).
cnf(s471,plain,
( spl0_26
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s188,s33,s35,s239,s385,s431,s128,s129,s434,s470,s168,s469,s441,s463]) ).
cnf(s472,plain,
( ~ spl0_91
| spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s398,s10,s41,s393,s99,s54,s421,s156,s465,s219,s454,s443,s181,s182,s185,s189,s463,s471]) ).
cnf(s473,plain,
( spl0_89
| spl0_8
| spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s18,s341,s335,s64,s33,s454,s239,s431,s128,s129,s434,s472,s285,s471,s441]) ).
cnf(s474,plain,
( spl0_8
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s37,s99,s351,s41,s24,s78,s431,s85,s325,s456,s116,s194,s473,s460]) ).
cnf(s475,plain,
( ~ spl0_64
| spl0_51
| spl0_68
| spl0_79
| spl0_54
| spl0_86
| spl0_82
| spl0_50
| spl0_23 ),
inference(rat,[],[s120,s57,s44,s322,s447,s53,s32,s86,s159,s211]) ).
cnf(s476,plain,
( spl0_5
| spl0_3
| spl0_1
| spl0_2 ),
inference(rat,[],[s321,s57,s53,s120,s208,s365,s44,s32,s450,s158,s285,s36,s475,s232,s261,s464,s276,s109,s174,s180,s181,s189,s434,s416,s413,s194,s85,s246,s202,s254,s262,s296,s474,s460]) ).
cnf(s477,plain,
( ~ spl0_53
| ~ spl0_60
| ~ spl0_13 ),
inference(rat,[],[s5,s244,s409]) ).
cnf(s478,plain,
( spl0_59
| ~ spl0_13
| spl0_26
| ~ spl0_92
| ~ spl0_8 ),
inference(rat,[],[s477,s42,s301,s35,s44,s296,s254,s289,s136,s298,s292,s55,s112,s267,s143,s365,s162]) ).
cnf(s479,plain,
( ~ spl0_54
| spl0_88
| spl0_82
| spl0_32
| spl0_3 ),
inference(rat,[],[s93,s46,s52,s174,s215]) ).
cnf(s480,plain,
( ~ spl0_13
| spl0_26
| spl0_54
| ~ spl0_92
| ~ spl0_8 ),
inference(rat,[],[s447,s478]) ).
cnf(s481,plain,
( spl0_59
| spl0_13
| spl0_26
| ~ spl0_92
| ~ spl0_8 ),
inference(rat,[],[s126,s31,s42,s221,s301,s35,s44,s296,s254,s289,s107,s136,s298,s292,s55,s112,s267,s143,s365,s162]) ).
cnf(s482,plain,
( spl0_26
| spl0_54
| ~ spl0_92
| ~ spl0_8 ),
inference(rat,[],[s6,s290,s371,s33,s31,s98,s123,s481,s480,s175,s107,s136]) ).
cnf(s483,plain,
( spl0_89
| ~ spl0_8
| spl0_32
| spl0_91
| spl0_3 ),
inference(rat,[],[s93,s46,s52,s109,s221,s442,s33,s156,s285,s482,s479,s175,s95,s136,s143,s61,s413,s202]) ).
cnf(s484,plain,
( ~ spl0_8
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s104,s21,s45,s404,s94,s44,s120,s42,s123,s126,s210,s347,s193,s195,s483,s254,s296,s115,s80]) ).
cnf(s485,plain,
( spl0_90
| ~ spl0_13
| spl0_26
| spl0_89
| spl0_32
| spl0_91
| spl0_3 ),
inference(rat,[],[s477,s35,s33,s447,s479,s175,s289,s95,s136,s143,s61,s413,s168]) ).
cnf(s486,plain,
( ~ spl0_13
| spl0_10
| spl0_26
| spl0_89
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s186,s46,s52,s204,s305,s55,s208,s34,s347,s42,s169,s239,s92,s97,s26,s127,s128,s129,s132,s203,s222,s485,s168,s115,s80]) ).
cnf(s487,plain,
( ~ spl0_63
| spl0_81
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s45,s165,s261]) ).
cnf(s488,plain,
( ~ spl0_92
| spl0_10
| spl0_26
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s92,s37,s41,s213,s246,s36,s487,s87,s300,s159,s110,s137,s140,s162,s484]) ).
cnf(s489,plain,
( spl0_63
| ~ spl0_88
| spl0_54
| spl0_79
| spl0_62
| spl0_50
| spl0_23
| spl0_67
| spl0_68
| spl0_26
| spl0_32
| spl0_3 ),
inference(rat,[],[s45,s232,s89,s475,s51,s36,s95,s90]) ).
cnf(s490,plain,
( ~ spl0_88
| spl0_54
| spl0_79
| spl0_62
| spl0_50
| spl0_23
| spl0_67
| spl0_68
| spl0_13
| spl0_26
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s53,s365,s342,s32,s487,s281,s489,s90,s80]) ).
cnf(s491,plain,
( ~ spl0_60
| ~ spl0_15
| spl0_47
| spl0_13 ),
inference(rat,[],[s314,s17,s31,s315,s221]) ).
cnf(s492,plain,
( spl0_10
| spl0_26
| spl0_89
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s173,s46,s490,s90,s52,s491,s301,s42,s62,s213,s325,s239,s327,s380,s92,s97,s91,s127,s128,s129,s130,s132,s205,s222,s61,s488,s486,s115,s80]) ).
cnf(s493,plain,
( spl0_26
| spl0_89
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s232,s45,s32,s94,s83,s51,s36,s487,s87,s256,s159,s365,s110,s162,s485,s61,s222,s101,s492,s115,s80]) ).
cnf(s494,plain,
( ~ spl0_90
| ~ spl0_26
| spl0_32
| spl0_3 ),
inference(rat,[],[s384,s33,s31,s215,s221,s52,s90,s46,s454,s239,s327,s92,s97,s128,s129,s285,s158]) ).
cnf(s495,plain,
( spl0_89
| ~ spl0_5
| spl0_3
| spl0_1 ),
inference(rat,[],[s38,s94,s239,s51,s33,s356,s487,s479,s55,s87,s256,s175,s95,s267,s365,s110,s112,s136,s143,s162,s61,s413,s494,s285,s493,s115,s80,s484]) ).
cnf(s496,plain,
( spl0_82
| ~ spl0_76
| spl0_52
| ~ spl0_54
| spl0_46
| spl0_32
| spl0_3 ),
inference(rat,[],[s55,s305,s259,s479,s53,s304,s292]) ).
cnf(s497,plain,
( spl0_10
| spl0_26
| ~ spl0_89
| spl0_8
| spl0_32
| spl0_3 ),
inference(rat,[],[s58,s99,s79,s54,s411,s344,s496,s89,s256,s51,s94,s38,s304,s42,s197,s196,s347,s327,s126,s211,s36,s163,s195,s83,s194,s289,s35,s215,s116,s123,s193]) ).
cnf(s498,plain,
( spl0_82
| ~ spl0_64
| ~ spl0_54
| spl0_46
| spl0_32
| spl0_3 ),
inference(rat,[],[s356,s55,s53,s79,s322,s57,s95,s305,s496,s479,s211,s86]) ).
cnf(s499,plain,
( spl0_26
| ~ spl0_89
| spl0_8
| spl0_32
| spl0_3 ),
inference(rat,[],[s102,s23,s37,s293,s93,s52,s90,s498,s497,s36,s197,s163,s195,s325,s83,s194,s215,s116]) ).
cnf(s500,plain,
( ~ spl0_65
| ~ spl0_23
| spl0_10
| spl0_56 ),
inference(rat,[],[s24,s351,s350,s41,s92]) ).
cnf(s501,plain,
( spl0_10
| spl0_60
| spl0_59
| spl0_53
| spl0_41
| spl0_56
| spl0_44
| spl0_75
| spl0_42
| spl0_8
| spl0_32
| spl0_3 ),
inference(rat,[],[s97,s52,s41,s90,s99,s46,s37,s500,s44,s94,s38,s120,s304,s42]) ).
cnf(s502,plain,
( spl0_79
| spl0_74
| spl0_82
| spl0_23
| spl0_59
| spl0_63
| spl0_55
| spl0_46
| spl0_32 ),
inference(rat,[],[s321,s58,s53,s256,s96,s51,s44]) ).
cnf(s503,plain,
( ~ spl0_79
| spl0_45
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s104,s21,s45,s404,s94]) ).
cnf(s504,plain,
( spl0_82
| spl0_79
| spl0_23
| spl0_59
| spl0_62
| spl0_63
| spl0_42
| spl0_55
| spl0_46
| spl0_32
| spl0_3 ),
inference(rat,[],[s43,s133,s93,s502,s46]) ).
cnf(s505,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s23,s102,s293,s52,s54,s90,s344,s504,s89,s51,s503,s78,s501,s156,s499,s215,s387,s123,s126,s327,s83,s85,s325,s163,s210,s347,s108,s116,s191,s193,s194,s195,s196,s197,s495,s484,s80,s476]) ).
cnf(s506,plain,
( ~ spl0_10
| ~ spl0_50
| spl0_65 ),
inference(rat,[],[s23,s102,s293,s43,s245,s37,s78,s296,s325,s83]) ).
cnf(s507,plain,
( ~ spl0_89
| ~ spl0_3 ),
inference(rat,[],[s204,s48,s53,s459,s25,s38,s304,s42,s506,s126,s327,s85,s347,s106,s191,s193,s194,s195,s197,s353,s352,s118]) ).
cnf(s508,plain,
( ~ spl0_26
| spl0_90
| spl0_50
| spl0_23
| spl0_8
| spl0_89
| spl0_51
| spl0_67 ),
inference(rat,[],[s96,s44,s38,s450,s276,s454,s109,s174,s181,s189,s61,s162,s365,s32,s158,s285]) ).
cnf(s509,plain,
( ~ spl0_54
| spl0_90
| ~ spl0_3 ),
inference(rat,[],[s61,s143,s189,s414,s174,s215,s233,s273,s118,s507]) ).
cnf(s510,plain,
( ~ spl0_68
| spl0_79
| spl0_54
| spl0_50
| ~ spl0_10
| spl0_89
| spl0_51 ),
inference(rat,[],[s27,s50,s450,s57,s219,s109,s113,s182,s189,s61,s162,s208,s365,s32,s447,s44,s96,s304,s78,s222,s101]) ).
cnf(s511,plain,
( ~ spl0_61
| spl0_76
| spl0_53
| spl0_54
| spl0_50
| ~ spl0_10
| spl0_89
| spl0_51 ),
inference(rat,[],[s27,s57,s50,s208,s219,s32,s113,s182,s168,s61,s33,s136,s188,s289,s222,s101]) ).
cnf(s512,plain,
( spl0_79
| spl0_53
| spl0_54
| spl0_50
| ~ spl0_10
| spl0_89
| spl0_51
| spl0_67 ),
inference(rat,[],[s55,s267,s365,s112,s143,s162,s61,s189,s187,s35,s511,s120,s298,s44,s385,s38,s510,s508,s222,s101,s78,s296]) ).
cnf(s513,plain,
( spl0_71
| spl0_90
| spl0_89
| spl0_5
| spl0_51 ),
inference(rat,[],[s110,s228,s61,s47,s181]) ).
cnf(s514,plain,
( ~ spl0_10
| spl0_51
| ~ spl0_3 ),
inference(rat,[],[s239,s38,s512,s510,s276,s513,s509,s222,s506,s101,s296,s353,s352,s118,s507]) ).
cnf(s515,plain,
( ~ spl0_54
| ~ spl0_3 ),
inference(rat,[],[s305,s52,s48,s97,s219,s129,s509,s215,s233,s273,s118]) ).
cnf(s516,plain,
( ~ spl0_50
| spl0_90
| spl0_8
| spl0_10
| spl0_89
| spl0_65 ),
inference(rat,[],[s218,s182,s41,s61,s99,s137,s37,s85,s325]) ).
cnf(s517,plain,
( ~ spl0_26
| ~ spl0_41
| spl0_53
| spl0_90
| ~ spl0_3 ),
inference(rat,[],[s136,s61,s175,s189,s33,s454,s285,s507,s515]) ).
cnf(s518,plain,
( ~ spl0_92
| spl0_72 ),
inference(rat,[],[s55,s267,s365,s112,s143,s162]) ).
cnf(s519,plain,
( ~ spl0_91
| spl0_53
| spl0_8
| spl0_26
| spl0_10 ),
inference(rat,[],[s168,s467,s433]) ).
cnf(s520,plain,
( spl0_53
| spl0_75
| spl0_90
| spl0_8
| spl0_10
| ~ spl0_3 ),
inference(rat,[],[s519,s61,s518,s517,s38,s292,s304,s42,s353,s507]) ).
cnf(s521,plain,
( ~ spl0_49
| ~ spl0_26
| ~ spl0_53 ),
inference(rat,[],[s12,s392,s399]) ).
cnf(s522,plain,
( ~ spl0_26
| spl0_48
| ~ spl0_53 ),
inference(rat,[],[s521,s31,s158,s126]) ).
cnf(s523,plain,
( spl0_26
| ~ spl0_91
| spl0_8
| spl0_10 ),
inference(rat,[],[s168,s470,s467]) ).
cnf(s524,plain,
( spl0_90
| spl0_8
| spl0_51
| ~ spl0_3 ),
inference(rat,[],[s523,s522,s109,s189,s61,s518,s356,s38,s239,s520,s198,s513,s353,s118,s507,s514]) ).
cnf(s525,plain,
( ~ spl0_26
| spl0_57
| ~ spl0_44
| spl0_51 ),
inference(rat,[],[s207,s32,s34,s158,s285,s325,s169]) ).
cnf(s526,plain,
( spl0_13
| spl0_26
| ~ spl0_90
| spl0_32
| spl0_51 ),
inference(rat,[],[s321,s53,s57,s90,s95,s52,s491,s208,s365,s62,s32,s205,s132,s97,s129,s380,s327,s128,s325,s127]) ).
cnf(s527,plain,
( spl0_57
| ~ spl0_90
| spl0_54
| spl0_5
| spl0_32
| spl0_51 ),
inference(rat,[],[s329,s13,s48,s343,s221,s54,s35,s175,s188,s34,s33,s168,s526,s525,s219,s385,s239,s128,s169,s302,s47,s229,s245,s43,s97,s129,s213,s127,s91,s222]) ).
cnf(s528,plain,
( ~ spl0_90
| spl0_54
| spl0_10
| spl0_5
| spl0_32
| spl0_51 ),
inference(rat,[],[s347,s42,s527,s239,s128,s132]) ).
cnf(s529,plain,
( spl0_53
| ~ spl0_26
| spl0_23
| spl0_75
| spl0_79
| spl0_54
| spl0_10 ),
inference(rat,[],[s341,s450,s18,s44,s335,s120,s33,s42,s285,s158]) ).
cnf(s530,plain,
( ~ spl0_26
| spl0_23
| spl0_75
| spl0_79
| spl0_90
| spl0_54
| spl0_10
| spl0_89 ),
inference(rat,[],[s61,s518,s189,s298,s109,s44,s522,s98,s529]) ).
cnf(s531,plain,
( ~ spl0_3
| spl0_2 ),
inference(rat,[],[s475,s36,s85,s246,s261,s459,s113,s180,s182,s61,s482,s530,s464,s254,s198,s276,s524,s513,s413,s528,s515,s514,s507,s118,s273,s318]) ).
cnf(s532,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s531,s505]) ).
cnf(s533,plain,
( ~ spl0_5
| spl0_77
| spl0_60
| spl0_59
| spl0_62
| spl0_63
| spl0_45
| spl0_42
| spl0_55
| spl0_46
| spl0_23
| spl0_3 ),
inference(rat,[],[s90,s504,s52,s503,s80]) ).
cnf(s534,plain,
( ~ spl0_89
| ~ spl0_26
| ~ spl0_10
| spl0_3
| spl0_1 ),
inference(rat,[],[s276,s47,s44,s302,s96,s54,s53,s322,s58,s236,s52,s204,s305,s48,s533,s133,s245,s43,s156,s93,s355,s215,s387,s123,s506,s83,s163,s210,s278,s106,s108,s116,s191,s193,s194,s195,s196,s197,s78]) ).
cnf(s535,plain,
( spl0_89
| spl0_8
| spl0_1
| spl0_3 ),
inference(rat,[],[s495,s473]) ).
cnf(s536,plain,
( ~ spl0_10
| spl0_8
| spl0_3
| spl0_1 ),
inference(rat,[],[s276,s47,s44,s302,s96,s54,s53,s322,s58,s204,s133,s245,s48,s289,s43,s236,s80,s35,s93,s355,s499,s506,s534,s78,s197,s196,s106,s278,s195,s83,s194,s123,s193,s215,s116,s535]) ).
cnf(s537,plain,
( spl0_8
| spl0_3
| spl0_1 ),
inference(rat,[],[s37,s500,s99,s44,s41,s94,s431,s38,s80,s120,s304,s501,s42,s536,s215,s123,s126,s327,s85,s325,s347,s108,s116,s193,s194,s195,s535]) ).
cnf(s538,plain,
( ~ spl0_89
| ~ spl0_8
| spl0_3 ),
inference(rat,[],[s93,s46,s43,s204,s133,s48,s41,s459,s431,s83,s85,s106,s108,s116,s194,s296,s254,s484]) ).
cnf(s539,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s489,s369,s530,s85,s246,s50,s261,s464,s198,s276,s366,s459,s219,s76,s174,s180,s181,s182,s184,s189,s413,s434,s416,s538,s484,s202,s254,s296,s537]) ).
cnf(s540,plain,
( ~ spl0_55
| spl0_1 ),
inference(rat,[],[s258,s54,s56,s175,s384,s332,s89,s297,s245,s43,s213,s127,s97,s129,s91,s222,s61,s110,s256,s51,s308,s273,s281,s180,s232,s306,s532,s507,s539]) ).
cnf(s541,plain,
spl0_1,
inference(rat,[],[s288,s54,s35,s322,s491,s168,s285,s58,s33,s540,s245,s43,s213,s239,s327,s385,s97,s91,s127,s128,s129,s131,s222,s61,s110,s89,s256,s51,s180,s308,s232,s281,s515,s507,s273,s306,s539,s532]) ).
cnf(s542,plain,
~ spl0_39,
inference(rat,[],[s177,s541]) ).
cnf(s543,plain,
( spl0_68
| spl0_82
| spl0_74
| spl0_5
| spl0_41
| spl0_51
| spl0_55
| spl0_46
| spl0_8 ),
inference(rat,[],[s228,s58,s47,s322,s366,s53,s38]) ).
cnf(s544,plain,
( ~ spl0_89
| ~ spl0_10
| spl0_3 ),
inference(rat,[],[s302,s45,s47,s94,s276,s44,s96,s543,s204,s133,s48,s43,s533,s93,s355,s215,s123,s327,s506,s83,s163,s210,s278,s106,s108,s116,s193,s194,s195,s196,s197,s296,s78]) ).
cnf(s545,plain,
( ~ spl0_53
| ~ spl0_72
| ~ spl0_10 ),
inference(rat,[],[s94,s44,s38,s98,s239,s296,s78,s356,s298]) ).
cnf(s546,plain,
( spl0_79
| ~ spl0_15
| spl0_80
| spl0_87
| spl0_88
| spl0_52
| spl0_32
| ~ spl0_10 ),
inference(rat,[],[s93,s52,s506,s491,s32,s123,s281,s44,s51,s78,s168]) ).
cnf(s547,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_3 ),
inference(rat,[],[s491,s35,s327,s385,s38,s94,s546,s168,s285,s33,s545,s479,s298,s356,s256,s175,s289,s95,s365,s518,s110,s136,s143,s162,s61,s80,s115,s296,s413,s544,s222,s101]) ).
cnf(s548,plain,
( ~ spl0_54
| ~ spl0_10
| spl0_3 ),
inference(rat,[],[s267,s48,s143,s355,s61,s46,s189,s174,s233,s413,s544,s222,s101,s547]) ).
cnf(s549,plain,
( ~ spl0_91
| spl0_54 ),
inference(rat,[],[s50,s219,s113,s182,s542]) ).
cnf(s550,plain,
( ~ spl0_59
| ~ spl0_15
| spl0_49
| spl0_54 ),
inference(rat,[],[s6,s290,s371,s31,s447,s123]) ).
cnf(s551,plain,
( ~ spl0_10
| spl0_3 ),
inference(rat,[],[s38,s327,s94,s491,s44,s35,s168,s550,s285,s33,s545,s298,s356,s107,s175,s289,s518,s136,s61,s549,s548,s544,s222,s78,s101,s296]) ).
cnf(s552,plain,
( ~ spl0_89
| ~ spl0_54
| spl0_3 ),
inference(rat,[],[s37,s500,s99,s44,s41,s94,s431,s38,s80,s120,s304,s501,s42,s123,s126,s327,s85,s325,s347,s538,s193,s194,s195,s551,s215,s174]) ).
cnf(s553,plain,
( ~ spl0_73
| spl0_32
| ~ spl0_54
| spl0_3 ),
inference(rat,[],[s90,s46,s52,s92,s97,s215,s174]) ).
cnf(s554,plain,
( spl0_32
| ~ spl0_54
| spl0_3 ),
inference(rat,[],[s95,s143,s479,s61,s413,s129,s553,s189,s174,s552]) ).
cnf(s555,plain,
( ~ spl0_54
| spl0_3 ),
inference(rat,[],[s48,s267,s355,s143,s46,s61,s413,s129,s431,s80,s554,s552,s189,s174,s233]) ).
cnf(s556,plain,
( ~ spl0_59
| ~ spl0_43
| spl0_54 ),
inference(rat,[],[s33,s550,s98,s175,s107]) ).
cnf(s557,plain,
( ~ spl0_50
| ~ spl0_23
| spl0_90
| spl0_8
| spl0_3 ),
inference(rat,[],[s500,s516,s85,s551,s116,s555]) ).
cnf(s558,plain,
( ~ spl0_13
| spl0_90
| spl0_32
| spl0_3 ),
inference(rat,[],[s485,s158,s116,s549,s555]) ).
cnf(s559,plain,
( ~ spl0_79
| ~ spl0_72
| spl0_8
| spl0_10 ),
inference(rat,[],[s239,s38,s42,s94,s301,s356,s292]) ).
cnf(s560,plain,
( spl0_90
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s32,s557,s281,s44,s51,s559,s558,s556,s298,s256,s365,s518,s110,s136,s162,s61,s551,s116,s549,s555,s80,s484]) ).
cnf(s561,plain,
( ~ spl0_5
| spl0_3 ),
inference(rat,[],[s489,s281,s301,s52,s526,s42,s491,s62,s486,s213,s325,s239,s327,s380,s97,s91,s494,s127,s128,s129,s130,s132,s205,s222,s560,s80,s551,s116,s555]) ).
cnf(s562,plain,
( ~ spl0_79
| ~ spl0_85
| spl0_3 ),
inference(rat,[],[s232,s45,s47,s94,s276,s561,s228,s87]) ).
cnf(s563,plain,
( spl0_90
| spl0_3 ),
inference(rat,[],[s355,s46,s48,s187,s221,s35,s28,s44,s562,s298,s556,s289,s77,s267,s518,s110,s112,s136,s139,s143,s148,s61,s413,s116,s549,s555,s72,s561,s542]) ).
cnf(s564,plain,
( spl0_51
| spl0_43
| spl0_3 ),
inference(rat,[],[s35,s188,s187,s58,s46,s322,s344,s54,s228,s302,s525,s47,s561,s229,s131,s92,s385,s347,s42,s239,s128,s551,s132,s245,s43,s213,s127,s91,s222,s97,s129,s563]) ).
cnf(s565,plain,
( ~ spl0_26
| spl0_3 ),
inference(rat,[],[s341,s18,s31,s335,s384,s33,s158,s285,s555,s327,s239,s128,s563]) ).
cnf(s566,plain,
( ~ spl0_51
| spl0_3 ),
inference(rat,[],[s79,s57,s55,s88,s204,s53,s86,s159,s211,s36,s342,s45,s232,s281,s205,s203,s132,s130,s213,s127,s563,s565]) ).
cnf(s567,plain,
spl0_3,
inference(rat,[],[s491,s168,s33,s35,s175,s289,s564,s566,s565,s239,s327,s385,s128,s563,s555]) ).
cnf(s570,plain,
spl0_2,
inference(rat,[],[s531,s567]) ).
cnf(s574,plain,
$false,
inference(rat,[],[s1,s541,s570,s567]) ).
fof(f2615,plain,
$false,
inference(avatar_sat_refutation,[],[s574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:20:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.20/0.31 % (3367256)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (3367261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4148151744_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (3367262)% WARNING: option uhcvi not known.
% 0.20/0.31 % Detected minimum model sizes of [4]
% 0.20/0.31 % Detected maximum model sizes of [max]
% 0.20/0.31 % TRYING [4]
% 0.20/0.31 % (3367263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2932064826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (3367262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=617682928:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (3367264)dis+10_1_sil=32000:sp=arity:random_seed=2428251589:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (3367267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1588340225:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (3367266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1643410062:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (3367265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=690224726:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % TRYING [5]
% 0.20/0.31 % TRYING [6]
% 0.20/0.31 % TRYING [7]
% 0.20/0.31 % TRYING [8]
% 0.20/0.31 % (3367265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3367256-3367265"...
% 0.20/0.31 % TRYING [9]
% 0.20/0.31 % (3367264)Instruction limit reached!
% 0.20/0.31 % (3367264)------------------------------
% 0.20/0.31 % (3367264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (3367264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (3367264)CaDiCaL version: 2.1.3
% 0.20/0.31 % (3367264)Termination reason: Instruction limit
% 0.20/0.31 % (3367264)Termination phase: Saturation
% 0.20/0.31 % (3367264)Time elapsed: 0.051 s
% 0.20/0.31 % (3367264)Peak memory usage: 12 MB
% 0.20/0.31 % (3367264)Instructions burned: 103 (million)
% 0.20/0.31 % (3367265)...printing done.
% 0.20/0.31 % (3367265)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (3367265)------------------------------
% 0.20/0.33 % (3367265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (3367265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (3367265)CaDiCaL version: 2.1.3
% 0.20/0.33 % (3367265)Termination reason: Refutation
% 0.20/0.33 % (3367265)Time elapsed: 0.051 s
% 0.20/0.33 % (3367265)Peak memory usage: 13 MB
% 0.20/0.33 % (3367265)Instructions burned: 94 (million)
% 0.20/0.33 % (3367256)Success in time 0.091 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------