%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG054+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:08:57 AM UTC 2026
% Result : Theorem 4.21s 1.24s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 89
% Syntax : Number of formulae : 834 ( 58 unt; 84 def)
% Number of atoms : 2589 ( 933 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 2955 (1200 ~;1513 |; 158 &)
% ( 84 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 86 ( 84 usr; 85 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 ) ),
inference(flattening,[],[f8]) ).
fof(f12,plain,
( e2 != op(e4,e4)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e1 != op(e4,e4)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e0 != op(e4,e4)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e1 != op(e3,e3)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e0 != op(e3,e3)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
( e4 != op(e1,e1)
| e1 = op(e1,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
( e3 != op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
( e2 != op(e1,e1)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
( op(e0,e0) != e2
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
( op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 = op(e2,e2)
| e3 = op(e3,e3)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| e2 = op(e3,e3)
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f43,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
( e3 = op(e4,e0)
| e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e3)
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e1)
| e2 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e1 = op(e4,e0)
| e1 = op(e4,e1)
| e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
( e0 = op(e4,e0)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
( e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
( e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f187,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f189,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
( op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f200,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f204,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f205,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f210,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f211,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f245,definition,
( spl0_2
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f247,plain,
( e3 = op(e4,e4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl0_3
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f251,plain,
( e2 = op(e4,e4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl0_4
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f255,plain,
( e1 = op(e4,e4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl0_5
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f259,plain,
( e0 = op(e4,e4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f266,definition,
( spl0_7
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f268,plain,
( e3 = op(e4,e3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_8
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f272,plain,
( e2 = op(e4,e3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl0_9
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f276,plain,
( e1 = op(e4,e3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl0_10
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f280,plain,
( e0 = op(e4,e3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f283,definition,
( spl0_11
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f285,plain,
( e4 = op(e4,e2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f287,definition,
( spl0_12
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f289,plain,
( e3 = op(e4,e2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl0_13
<=> e2 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f293,plain,
( e2 = op(e4,e2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f295,definition,
( spl0_14
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f297,plain,
( e1 = op(e4,e2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl0_15
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f301,plain,
( e0 = op(e4,e2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f304,definition,
( spl0_16
<=> e4 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f306,plain,
( e4 = op(e4,e1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f308,definition,
( spl0_17
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f310,plain,
( e3 = op(e4,e1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl0_18
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f314,plain,
( e2 = op(e4,e1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl0_19
<=> e1 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f318,plain,
( e1 = op(e4,e1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f320,definition,
( spl0_20
<=> e0 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f322,plain,
( e0 = op(e4,e1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f325,definition,
( spl0_21
<=> e4 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f327,plain,
( e4 = op(e4,e0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl0_22
<=> e3 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f331,plain,
( e3 = op(e4,e0)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl0_23
<=> e2 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f335,plain,
( e2 = op(e4,e0)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl0_24
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f339,plain,
( e1 = op(e4,e0)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl0_25
<=> e0 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f343,plain,
( e0 = op(e4,e0)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f346,definition,
( spl0_26
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f348,plain,
( e4 = op(e3,e4)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl0_27
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f352,plain,
( e3 = op(e3,e4)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl0_28
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f356,plain,
( e2 = op(e3,e4)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl0_29
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f360,plain,
( e1 = op(e3,e4)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f362,definition,
( spl0_30
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f364,plain,
( e0 = op(e3,e4)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f367,definition,
( spl0_31
<=> e4 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f369,plain,
( e4 = op(e3,e3)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl0_32
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f373,plain,
( e3 = op(e3,e3)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f375,definition,
( spl0_33
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f377,plain,
( e2 = op(e3,e3)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl0_34
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f381,plain,
( e1 = op(e3,e3)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f383,definition,
( spl0_35
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f385,plain,
( e0 = op(e3,e3)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f388,definition,
( spl0_36
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f390,plain,
( e4 = op(e3,e2)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl0_37
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f394,plain,
( e3 = op(e3,e2)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,definition,
( spl0_38
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f398,plain,
( e2 = op(e3,e2)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl0_39
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f402,plain,
( e1 = op(e3,e2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,definition,
( spl0_40
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f406,plain,
( e0 = op(e3,e2)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f409,definition,
( spl0_41
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f411,plain,
( e4 = op(e3,e1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f413,definition,
( spl0_42
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f415,plain,
( e3 = op(e3,e1)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f417,definition,
( spl0_43
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f419,plain,
( e2 = op(e3,e1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f421,definition,
( spl0_44
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f423,plain,
( e1 = op(e3,e1)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl0_45
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f427,plain,
( e0 = op(e3,e1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f430,definition,
( spl0_46
<=> e4 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f432,plain,
( e4 = op(e3,e0)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl0_47
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f436,plain,
( e3 = op(e3,e0)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f438,definition,
( spl0_48
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f440,plain,
( e2 = op(e3,e0)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl0_49
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f444,plain,
( e1 = op(e3,e0)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl0_50
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f448,plain,
( e0 = op(e3,e0)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f497,definition,
( spl0_62
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f499,plain,
( e3 = op(e2,e2)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl0_63
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f503,plain,
( e2 = op(e2,e2)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl0_64
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f507,plain,
( e1 = op(e2,e2)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl0_65
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f511,plain,
( e0 = op(e2,e2)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f539,definition,
( spl0_72
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f541,plain,
( e3 = op(e2,e0)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f543,definition,
( spl0_73
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f545,plain,
( e2 = op(e2,e0)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl0_74
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f549,plain,
( e1 = op(e2,e0)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f560,definition,
( spl0_77
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f562,plain,
( e3 = op(e1,e4)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl0_78
<=> e2 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f566,plain,
( e2 = op(e1,e4)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,definition,
( spl0_79
<=> e1 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f570,plain,
( e1 = op(e1,e4)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f581,definition,
( spl0_82
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f583,plain,
( e3 = op(e1,e3)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f585,definition,
( spl0_83
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f587,plain,
( e2 = op(e1,e3)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f589,definition,
( spl0_84
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f591,plain,
( e1 = op(e1,e3)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f602,definition,
( spl0_87
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f604,plain,
( e3 = op(e1,e2)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f606,definition,
( spl0_88
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f608,plain,
( e2 = op(e1,e2)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f610,definition,
( spl0_89
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f612,plain,
( e1 = op(e1,e2)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f614,definition,
( spl0_90
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f616,plain,
( e0 = op(e1,e2)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f619,definition,
( spl0_91
<=> e4 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f623,definition,
( spl0_92
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f625,plain,
( e3 = op(e1,e1)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f627,definition,
( spl0_93
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f631,definition,
( spl0_94
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f633,plain,
( e1 = op(e1,e1)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl0_95
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f644,definition,
( spl0_97
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f646,plain,
( e3 = op(e1,e0)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,definition,
( spl0_98
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f650,plain,
( e2 = op(e1,e0)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f652,definition,
( spl0_99
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f654,plain,
( e1 = op(e1,e0)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f715,definition,
( spl0_114
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f717,plain,
( e1 = op(e0,e2)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f719,definition,
( spl0_115
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f721,plain,
( e0 = op(e0,e2)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f749,definition,
( spl0_122
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f751,plain,
( op(e0,e0) = e3
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,definition,
( spl0_123
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f755,plain,
( op(e0,e0) = e2
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f757,definition,
( spl0_124
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f759,plain,
( op(e0,e0) = e1
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f761,definition,
( spl0_125
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f763,plain,
( e0 = op(e0,e0)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f766,definition,
( spl0_126
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f768,plain,
( e4 = unit
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl0_127
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f772,plain,
( e3 = unit
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f774,definition,
( spl0_128
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f776,plain,
( e2 = unit
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f778,definition,
( spl0_129
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f780,plain,
( e1 = unit
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f782,definition,
( spl0_130
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f784,plain,
( e0 = unit
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f785,plain,
( spl0_126
| spl0_127
| spl0_128
| spl0_129
| spl0_130 ),
inference(avatar_split_clause,[],[f204,f782,f778,f774,f770,f766]) ).
fof(f789,plain,
( spl0_2
| spl0_7
| spl0_12
| spl0_17
| spl0_22 ),
inference(avatar_split_clause,[],[f157,f329,f308,f287,f266,f245]) ).
fof(f791,plain,
( spl0_3
| spl0_8
| spl0_13
| spl0_18
| spl0_23 ),
inference(avatar_split_clause,[],[f159,f333,f312,f291,f270,f249]) ).
fof(f793,plain,
( spl0_4
| spl0_9
| spl0_14
| spl0_19
| spl0_24 ),
inference(avatar_split_clause,[],[f161,f337,f316,f295,f274,f253]) ).
fof(f795,plain,
( spl0_5
| spl0_10
| spl0_15
| spl0_20
| spl0_25 ),
inference(avatar_split_clause,[],[f163,f341,f320,f299,f278,f257]) ).
fof(f797,plain,
( spl0_26
| spl0_31
| spl0_36
| spl0_41
| spl0_46 ),
inference(avatar_split_clause,[],[f165,f430,f409,f388,f367,f346]) ).
fof(f801,plain,
( spl0_28
| spl0_33
| spl0_38
| spl0_43
| spl0_48 ),
inference(avatar_split_clause,[],[f169,f438,f417,f396,f375,f354]) ).
fof(f803,plain,
( spl0_29
| spl0_34
| spl0_39
| spl0_44
| spl0_49 ),
inference(avatar_split_clause,[],[f171,f442,f421,f400,f379,f358]) ).
fof(f805,plain,
( spl0_30
| spl0_35
| spl0_40
| spl0_45
| spl0_50 ),
inference(avatar_split_clause,[],[f173,f446,f425,f404,f383,f362]) ).
fof(f812,plain,
( spl0_14
| spl0_39
| spl0_64
| spl0_89
| spl0_114 ),
inference(avatar_split_clause,[],[f180,f715,f610,f505,f400,f295]) ).
fof(f819,plain,
( spl0_77
| spl0_82
| spl0_87
| spl0_92
| spl0_97 ),
inference(avatar_split_clause,[],[f187,f644,f623,f602,f581,f560]) ).
fof(f821,plain,
( spl0_78
| spl0_83
| spl0_88
| spl0_93
| spl0_98 ),
inference(avatar_split_clause,[],[f189,f648,f627,f606,f585,f564]) ).
fof(f828,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(avatar_split_clause,[],[f196,f749,f644,f539,f434,f329]) ).
fof(f830,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(avatar_split_clause,[],[f198,f753,f648,f543,f438,f333]) ).
fof(f832,plain,
( spl0_24
| spl0_49
| spl0_74
| spl0_99
| spl0_124 ),
inference(avatar_split_clause,[],[f200,f757,f652,f547,f442,f337]) ).
fof(f836,plain,
spl0_91,
inference(avatar_split_clause,[],[f40,f619]) ).
fof(f837,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f43,f42]) ).
fof(f839,plain,
( spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f249,f283]) ).
fof(f840,plain,
( spl0_16
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f13,f253,f304]) ).
fof(f841,plain,
( spl0_21
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f14,f257,f325]) ).
fof(f843,plain,
( spl0_37
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f17,f375,f392]) ).
fof(f844,plain,
( spl0_42
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f18,f379,f413]) ).
fof(f845,plain,
( spl0_47
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f19,f383,f434]) ).
fof(f849,plain,
( spl0_73
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f24,f509,f543]) ).
fof(f850,plain,
( spl0_79
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f25,f619,f568]) ).
fof(f851,plain,
( spl0_84
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f26,f623,f589]) ).
fof(f852,plain,
( spl0_89
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f27,f627,f610]) ).
fof(f853,plain,
( spl0_99
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f29,f635,f652]) ).
fof(f856,plain,
( spl0_115
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f32,f753,f719]) ).
fof(f859,plain,
( spl0_2
| spl0_32
| spl0_62
| spl0_92
| spl0_122 ),
inference(avatar_split_clause,[],[f36,f749,f623,f497,f371,f245]) ).
fof(f860,plain,
( spl0_3
| spl0_33
| spl0_63
| spl0_93
| spl0_123 ),
inference(avatar_split_clause,[],[f37,f753,f627,f501,f375,f249]) ).
fof(f861,plain,
( spl0_4
| spl0_34
| spl0_64
| spl0_94
| spl0_124 ),
inference(avatar_split_clause,[],[f38,f757,f631,f505,f379,f253]) ).
fof(f862,plain,
( spl0_5
| spl0_35
| spl0_65
| spl0_95
| spl0_125 ),
inference(avatar_split_clause,[],[f39,f761,f635,f509,f383,f257]) ).
fof(f863,plain,
spl0_90,
inference(avatar_split_clause,[],[f837,f614]) ).
fof(f876,plain,
( e4 = op(e4,e4)
| ~ spl0_126 ),
inference(superposition,[],[f205,f768]) ).
fof(f877,plain,
( e3 = e4
| ~ spl0_2
| ~ spl0_126 ),
inference(forward_demodulation,[],[f876,f247]) ).
fof(f878,plain,
( $false
| ~ spl0_2
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f877,f44]) ).
fof(f879,plain,
( ~ spl0_2
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f881,plain,
( e2 = e4
| ~ spl0_3
| ~ spl0_126 ),
inference(forward_demodulation,[],[f876,f251]) ).
fof(f882,plain,
( $false
| ~ spl0_3
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f881,f45]) ).
fof(f883,plain,
( ~ spl0_3
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f886,plain,
( e1 = e4
| ~ spl0_4
| ~ spl0_126 ),
inference(forward_demodulation,[],[f876,f255]) ).
fof(f887,plain,
( $false
| ~ spl0_4
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f886,f47]) ).
fof(f888,plain,
( ~ spl0_4
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f892,plain,
( e0 = e4
| ~ spl0_5
| ~ spl0_126 ),
inference(forward_demodulation,[],[f876,f259]) ).
fof(f893,plain,
( $false
| ~ spl0_5
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f892,f50]) ).
fof(f894,plain,
( ~ spl0_5
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f954,plain,
( e2 = op(e3,e2)
| ~ spl0_127 ),
inference(superposition,[],[f210,f772]) ).
fof(f955,plain,
( spl0_38
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f954,f770,f396]) ).
fof(f994,plain,
( e1 = op(e1,e2)
| ~ spl0_128 ),
inference(superposition,[],[f211,f776]) ).
fof(f995,plain,
( e0 = e1
| ~ spl0_90
| ~ spl0_128 ),
inference(forward_demodulation,[],[f994,f616]) ).
fof(f996,plain,
( $false
| ~ spl0_90
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f995,f53]) ).
fof(f997,plain,
( ~ spl0_90
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f1009,plain,
( e4 = op(e4,e3)
| ~ spl0_127 ),
inference(superposition,[],[f205,f772]) ).
fof(f1015,plain,
( e1 = op(e1,e3)
| ~ spl0_127 ),
inference(superposition,[],[f211,f772]) ).
fof(f1018,plain,
( spl0_84
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1015,f770,f589]) ).
fof(f1019,plain,
( e1 = op(e3,e1)
| ~ spl0_127 ),
inference(superposition,[],[f212,f772]) ).
fof(f1020,plain,
( spl0_44
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1019,f770,f421]) ).
fof(f1023,plain,
( e0 = op(e3,e0)
| ~ spl0_127 ),
inference(superposition,[],[f214,f772]) ).
fof(f1024,plain,
( spl0_50
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1023,f770,f446]) ).
fof(f1032,plain,
( e3 = e4
| ~ spl0_7
| ~ spl0_127 ),
inference(forward_demodulation,[],[f1009,f268]) ).
fof(f1033,plain,
( $false
| ~ spl0_7
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1032,f44]) ).
fof(f1034,plain,
( ~ spl0_7
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1037,plain,
( e2 = e4
| ~ spl0_8
| ~ spl0_127 ),
inference(forward_demodulation,[],[f1009,f272]) ).
fof(f1038,plain,
( $false
| ~ spl0_8
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1037,f45]) ).
fof(f1039,plain,
( ~ spl0_8
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1043,plain,
( e1 = e4
| ~ spl0_9
| ~ spl0_127 ),
inference(forward_demodulation,[],[f1009,f276]) ).
fof(f1044,plain,
( $false
| ~ spl0_9
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1043,f47]) ).
fof(f1045,plain,
( ~ spl0_9
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1050,plain,
( e0 = e4
| ~ spl0_10
| ~ spl0_127 ),
inference(forward_demodulation,[],[f1009,f280]) ).
fof(f1051,plain,
( $false
| ~ spl0_10
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1050,f50]) ).
fof(f1052,plain,
( ~ spl0_10
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1057,plain,
( e3 = e4
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f289,f285]) ).
fof(f1061,plain,
( $false
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1057,f44]) ).
fof(f1062,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1071,plain,
( e1 = e4
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f297,f285]) ).
fof(f1075,plain,
( $false
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1071,f47]) ).
fof(f1076,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1078,plain,
( e3 = e4
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f310,f306]) ).
fof(f1082,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1078,f44]) ).
fof(f1083,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1085,plain,
( e2 = e3
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f314,f310]) ).
fof(f1089,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1085,f46]) ).
fof(f1090,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1092,plain,
( e1 = e2
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_demodulation,[],[f419,f423]) ).
fof(f1093,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1092,f49]) ).
fof(f1094,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1096,plain,
( e1 = e3
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f318,f310]) ).
fof(f1100,plain,
( $false
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1096,f48]) ).
fof(f1101,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1103,plain,
( e0 = e3
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f322,f310]) ).
fof(f1107,plain,
( $false
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1103,f51]) ).
fof(f1108,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1110,plain,
( e3 = e4
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f331,f327]) ).
fof(f1114,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1110,f44]) ).
fof(f1115,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1118,plain,
( e2 = e3
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f335,f331]) ).
fof(f1122,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1118,f46]) ).
fof(f1123,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1125,plain,
( e1 = e3
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f339,f331]) ).
fof(f1129,plain,
( $false
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1125,f48]) ).
fof(f1130,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1134,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(superposition,[],[f343,f339]) ).
fof(f1135,plain,
( e0 = e1
| ~ spl0_24
| ~ spl0_25 ),
inference(superposition,[],[f339,f343]) ).
fof(f1136,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1135,f53]) ).
fof(f1137,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1138,plain,
( $false
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1134,f53]) ).
fof(f1139,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1141,plain,
( e0 = e4
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f301,f285]) ).
fof(f1145,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1141,f50]) ).
fof(f1146,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1155,plain,
( e0 = e1
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f322,f318]) ).
fof(f1156,plain,
( e0 = e1
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f318,f322]) ).
fof(f1158,plain,
( $false
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1156,f53]) ).
fof(f1159,plain,
( ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1160,plain,
( $false
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1155,f53]) ).
fof(f1161,plain,
( ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1165,plain,
( e1 = e3
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_demodulation,[],[f583,f591]) ).
fof(f1172,plain,
( $false
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1165,f48]) ).
fof(f1173,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1174,plain,
( e0 = e3
| ~ spl0_47
| ~ spl0_50 ),
inference(forward_demodulation,[],[f436,f448]) ).
fof(f1177,plain,
( e1 = e3
| ~ spl0_97
| ~ spl0_99 ),
inference(forward_demodulation,[],[f646,f654]) ).
fof(f1182,plain,
( $false
| ~ spl0_47
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1174,f51]) ).
fof(f1183,plain,
( ~ spl0_47
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1184,plain,
( $false
| ~ spl0_97
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f1177,f48]) ).
fof(f1185,plain,
( ~ spl0_97
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1203,plain,
( e2 = op(e1,e2)
| ~ spl0_129 ),
inference(superposition,[],[f210,f780]) ).
fof(f1213,plain,
( e0 = e2
| ~ spl0_90
| ~ spl0_129 ),
inference(forward_demodulation,[],[f1203,f616]) ).
fof(f1216,plain,
( $false
| ~ spl0_90
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f1213,f52]) ).
fof(f1217,plain,
( ~ spl0_90
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1231,plain,
( e1 = op(e1,e0)
| ~ spl0_130 ),
inference(superposition,[],[f211,f784]) ).
fof(f1240,plain,
( spl0_99
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1231,f782,f652]) ).
fof(f1249,plain,
( e0 = e4
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f306,f322]) ).
fof(f1257,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1249,f50]) ).
fof(f1258,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1263,plain,
( e0 = e3
| ~ spl0_87
| ~ spl0_90 ),
inference(forward_demodulation,[],[f604,f616]) ).
fof(f1276,plain,
( $false
| ~ spl0_87
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1263,f51]) ).
fof(f1277,plain,
( ~ spl0_87
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1312,plain,
( e1 = e2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f255,f251]) ).
fof(f1316,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1312,f49]) ).
fof(f1317,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1320,plain,
( e0 = e3
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f280,f268]) ).
fof(f1325,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1320,f51]) ).
fof(f1326,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1341,plain,
( e0 = e3
| ~ spl0_122
| ~ spl0_125 ),
inference(forward_demodulation,[],[f751,f763]) ).
fof(f1342,plain,
( $false
| ~ spl0_122
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1341,f51]) ).
fof(f1343,plain,
( ~ spl0_122
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1375,plain,
( e0 = e3
| ~ spl0_22
| ~ spl0_25 ),
inference(superposition,[],[f343,f331]) ).
fof(f1380,plain,
( $false
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1375,f51]) ).
fof(f1381,plain,
( ~ spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1390,plain,
( e0 = e2
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f301,f293]) ).
fof(f1391,plain,
( e0 = e2
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f293,f301]) ).
fof(f1393,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1391,f52]) ).
fof(f1394,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1395,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1390,f52]) ).
fof(f1396,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1402,plain,
( e2 = e4
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f314,f306]) ).
fof(f1408,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1402,f45]) ).
fof(f1409,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1426,plain,
( e0 = e2
| ~ spl0_23
| ~ spl0_25 ),
inference(superposition,[],[f343,f335]) ).
fof(f1432,plain,
( $false
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1426,f52]) ).
fof(f1433,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1436,plain,
( e2 = e3
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f293,f289]) ).
fof(f1439,plain,
( e2 = e3
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f289,f293]) ).
fof(f1441,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1439,f46]) ).
fof(f1442,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1443,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1436,f46]) ).
fof(f1444,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1483,plain,
( e3 = op(e3,e4)
| ~ spl0_126 ),
inference(superposition,[],[f207,f768]) ).
fof(f1484,plain,
( e3 = op(e4,e3)
| ~ spl0_126 ),
inference(superposition,[],[f208,f768]) ).
fof(f1486,plain,
( e2 = op(e4,e2)
| ~ spl0_126 ),
inference(superposition,[],[f210,f768]) ).
fof(f1488,plain,
( e1 = op(e4,e1)
| ~ spl0_126 ),
inference(superposition,[],[f212,f768]) ).
fof(f1494,plain,
( spl0_19
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1488,f766,f316]) ).
fof(f1495,plain,
( e1 = e2
| ~ spl0_14
| ~ spl0_126 ),
inference(forward_demodulation,[],[f1486,f297]) ).
fof(f1498,plain,
( $false
| ~ spl0_14
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1495,f49]) ).
fof(f1499,plain,
( ~ spl0_14
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1504,plain,
( spl0_13
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1486,f766,f291]) ).
fof(f1505,plain,
( spl0_7
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1484,f766,f266]) ).
fof(f1519,plain,
( e1 = e2
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f314,f318]) ).
fof(f1523,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1519,f49]) ).
fof(f1524,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1528,plain,
( e3 = e4
| ~ spl0_26
| ~ spl0_27 ),
inference(superposition,[],[f352,f348]) ).
fof(f1532,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1528,f44]) ).
fof(f1533,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1535,plain,
( e2 = e3
| ~ spl0_27
| ~ spl0_28 ),
inference(superposition,[],[f356,f352]) ).
fof(f1539,plain,
( $false
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1535,f46]) ).
fof(f1540,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1542,plain,
( e1 = e3
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f360,f352]) ).
fof(f1546,plain,
( $false
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1542,f48]) ).
fof(f1547,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1549,plain,
( e0 = e3
| ~ spl0_27
| ~ spl0_30 ),
inference(superposition,[],[f364,f352]) ).
fof(f1553,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1549,f51]) ).
fof(f1554,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1553]) ).
fof(f1556,plain,
( e3 = e4
| ~ spl0_31
| ~ spl0_32 ),
inference(superposition,[],[f373,f369]) ).
fof(f1560,plain,
( $false
| ~ spl0_31
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1556,f44]) ).
fof(f1561,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1560]) ).
fof(f1563,plain,
( e2 = e4
| ~ spl0_31
| ~ spl0_33 ),
inference(superposition,[],[f377,f369]) ).
fof(f1567,plain,
( $false
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1563,f45]) ).
fof(f1568,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1570,plain,
( e1 = e4
| ~ spl0_31
| ~ spl0_34 ),
inference(superposition,[],[f381,f369]) ).
fof(f1574,plain,
( $false
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1570,f47]) ).
fof(f1575,plain,
( ~ spl0_31
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1574]) ).
fof(f1577,plain,
( e0 = e1
| ~ spl0_64
| ~ spl0_65 ),
inference(forward_demodulation,[],[f507,f511]) ).
fof(f1578,plain,
( $false
| ~ spl0_64
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1577,f53]) ).
fof(f1579,plain,
( ~ spl0_64
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1581,plain,
( e0 = e4
| ~ spl0_31
| ~ spl0_35 ),
inference(superposition,[],[f385,f369]) ).
fof(f1585,plain,
( $false
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1581,f50]) ).
fof(f1586,plain,
( ~ spl0_31
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1588,plain,
( e3 = e4
| ~ spl0_36
| ~ spl0_37 ),
inference(superposition,[],[f394,f390]) ).
fof(f1592,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1588,f44]) ).
fof(f1593,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1595,plain,
( e2 = e3
| ~ spl0_62
| ~ spl0_63 ),
inference(forward_demodulation,[],[f499,f503]) ).
fof(f1596,plain,
( $false
| ~ spl0_62
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1595,f46]) ).
fof(f1597,plain,
( ~ spl0_62
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1599,plain,
( e0 = e1
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_demodulation,[],[f612,f616]) ).
fof(f1602,plain,
( $false
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1599,f53]) ).
fof(f1603,plain,
( ~ spl0_89
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1610,plain,
( e0 = e2
| ~ spl0_123
| ~ spl0_125 ),
inference(forward_demodulation,[],[f755,f763]) ).
fof(f1611,plain,
( $false
| ~ spl0_123
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1610,f52]) ).
fof(f1612,plain,
( ~ spl0_123
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1613,plain,
( e1 = e2
| ~ spl0_63
| ~ spl0_64 ),
inference(forward_demodulation,[],[f503,f507]) ).
fof(f1616,plain,
( $false
| ~ spl0_63
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f1613,f49]) ).
fof(f1617,plain,
( ~ spl0_63
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1621,plain,
( e0 = e1
| ~ spl0_124
| ~ spl0_125 ),
inference(forward_demodulation,[],[f759,f763]) ).
fof(f1623,plain,
( $false
| ~ spl0_124
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1621,f53]) ).
fof(f1624,plain,
( ~ spl0_124
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1623]) ).
fof(f1630,plain,
( e2 = e4
| ~ spl0_36
| ~ spl0_38 ),
inference(superposition,[],[f398,f390]) ).
fof(f1634,plain,
( $false
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1630,f45]) ).
fof(f1635,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1638,plain,
( e1 = e2
| ~ spl0_38
| ~ spl0_39 ),
inference(superposition,[],[f402,f398]) ).
fof(f1642,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1638,f49]) ).
fof(f1643,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1642]) ).
fof(f1645,plain,
( e0 = e1
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_demodulation,[],[f717,f721]) ).
fof(f1646,plain,
( $false
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f1645,f53]) ).
fof(f1647,plain,
( ~ spl0_114
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1652,plain,
( e3 = e4
| ~ spl0_41
| ~ spl0_42 ),
inference(superposition,[],[f415,f411]) ).
fof(f1656,plain,
( $false
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1652,f44]) ).
fof(f1657,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1659,plain,
( e1 = e4
| ~ spl0_41
| ~ spl0_44 ),
inference(superposition,[],[f423,f411]) ).
fof(f1663,plain,
( $false
| ~ spl0_41
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1659,f47]) ).
fof(f1664,plain,
( ~ spl0_41
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1668,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_45 ),
inference(superposition,[],[f427,f423]) ).
fof(f1669,plain,
( e0 = e1
| ~ spl0_44
| ~ spl0_45 ),
inference(superposition,[],[f423,f427]) ).
fof(f1670,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1669,f53]) ).
fof(f1671,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1672,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1668,f53]) ).
fof(f1673,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1676,plain,
( e2 = e3
| ~ spl0_72
| ~ spl0_73 ),
inference(forward_demodulation,[],[f541,f545]) ).
fof(f1677,plain,
( $false
| ~ spl0_72
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1676,f46]) ).
fof(f1678,plain,
( ~ spl0_72
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1681,plain,
( e2 = e3
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_demodulation,[],[f751,f755]) ).
fof(f1682,plain,
( $false
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f1681,f46]) ).
fof(f1683,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1693,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[],[f394,f402]) ).
fof(f1701,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1693,f48]) ).
fof(f1702,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1711,plain,
( e2 = e4
| ~ spl0_46
| ~ spl0_48 ),
inference(superposition,[],[f440,f432]) ).
fof(f1715,plain,
( $false
| ~ spl0_46
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1711,f45]) ).
fof(f1716,plain,
( ~ spl0_46
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1730,plain,
( e0 = e2
| ~ spl0_48
| ~ spl0_50 ),
inference(superposition,[],[f448,f440]) ).
fof(f1734,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1730,f52]) ).
fof(f1735,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
fof(f1737,plain,
( e0 = e3
| ~ spl0_37
| ~ spl0_40 ),
inference(superposition,[],[f406,f394]) ).
fof(f1744,plain,
( $false
| ~ spl0_37
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1737,f51]) ).
fof(f1745,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1769,plain,
( e0 = e4
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f390,f406]) ).
fof(f1770,plain,
( e1 = e3
| ~ spl0_42
| ~ spl0_44 ),
inference(forward_demodulation,[],[f415,f423]) ).
fof(f1776,plain,
( $false
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1769,f50]) ).
fof(f1777,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1778,plain,
( $false
| ~ spl0_42
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1770,f48]) ).
fof(f1779,plain,
( ~ spl0_42
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1811,plain,
( e0 = e2
| ~ spl0_43
| ~ spl0_45 ),
inference(superposition,[],[f427,f419]) ).
fof(f1812,plain,
( e0 = e2
| ~ spl0_43
| ~ spl0_45 ),
inference(superposition,[],[f419,f427]) ).
fof(f1813,plain,
( $false
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1812,f52]) ).
fof(f1814,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1815,plain,
( $false
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1811,f52]) ).
fof(f1816,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1818,plain,
( e3 = e4
| ~ spl0_46
| ~ spl0_47 ),
inference(superposition,[],[f436,f432]) ).
fof(f1822,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1818,f44]) ).
fof(f1823,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f1827,plain,
( e1 = e3
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_demodulation,[],[f541,f549]) ).
fof(f1830,plain,
( e1 = e2
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_demodulation,[],[f650,f654]) ).
fof(f1834,plain,
( $false
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1827,f48]) ).
fof(f1835,plain,
( ~ spl0_72
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1836,plain,
( $false
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f1830,f49]) ).
fof(f1837,plain,
( ~ spl0_98
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1841,plain,
( e1 = e2
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_demodulation,[],[f755,f759]) ).
fof(f1843,plain,
( $false
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1841,f49]) ).
fof(f1844,plain,
( ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1847,plain,
( e1 = e4
| ~ spl0_36
| ~ spl0_39 ),
inference(forward_demodulation,[],[f390,f402]) ).
fof(f1858,plain,
( $false
| ~ spl0_36
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1847,f47]) ).
fof(f1859,plain,
( ~ spl0_36
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1863,plain,
( spl0_27
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1483,f766,f350]) ).
fof(f1869,plain,
( e2 = e4
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_demodulation,[],[f411,f419]) ).
fof(f1874,plain,
( $false
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1869,f45]) ).
fof(f1875,plain,
( ~ spl0_41
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1874]) ).
fof(f1883,plain,
( e0 = e1
| ~ spl0_39
| ~ spl0_40 ),
inference(superposition,[],[f406,f402]) ).
fof(f1884,plain,
( e0 = e1
| ~ spl0_39
| ~ spl0_40 ),
inference(superposition,[],[f402,f406]) ).
fof(f1887,plain,
( $false
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1884,f53]) ).
fof(f1888,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1889,plain,
( $false
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1883,f53]) ).
fof(f1890,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1889]) ).
fof(f1897,plain,
( e2 = e3
| ~ spl0_47
| ~ spl0_48 ),
inference(superposition,[],[f440,f436]) ).
fof(f1902,plain,
( $false
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1897,f46]) ).
fof(f1903,plain,
( ~ spl0_47
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1902]) ).
fof(f1910,plain,
( e1 = e3
| ~ spl0_47
| ~ spl0_49 ),
inference(superposition,[],[f444,f436]) ).
fof(f1915,plain,
( $false
| ~ spl0_47
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1910,f48]) ).
fof(f1916,plain,
( ~ spl0_47
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
fof(f1917,plain,
( e0 = e3
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_demodulation,[],[f415,f427]) ).
fof(f1919,plain,
( e2 = e3
| ~ spl0_97
| ~ spl0_98 ),
inference(forward_demodulation,[],[f646,f650]) ).
fof(f1925,plain,
( $false
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1917,f51]) ).
fof(f1926,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1927,plain,
( $false
| ~ spl0_97
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f1919,f46]) ).
fof(f1928,plain,
( ~ spl0_97
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1927]) ).
fof(f1935,plain,
( e0 = e4
| ~ spl0_46
| ~ spl0_50 ),
inference(superposition,[],[f448,f432]) ).
fof(f1939,plain,
( $false
| ~ spl0_46
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1935,f50]) ).
fof(f1940,plain,
( ~ spl0_46
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1942,plain,
( e0 = e2
| ~ spl0_38
| ~ spl0_40 ),
inference(superposition,[],[f406,f398]) ).
fof(f1947,plain,
( $false
| ~ spl0_38
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1942,f52]) ).
fof(f1948,plain,
( ~ spl0_38
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1947]) ).
fof(f1952,plain,
( e2 = e3
| ~ spl0_42
| ~ spl0_43 ),
inference(superposition,[],[f419,f415]) ).
fof(f1959,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1952,f46]) ).
fof(f1960,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1973,plain,
( e1 = e4
| ~ spl0_46
| ~ spl0_49 ),
inference(superposition,[],[f444,f432]) ).
fof(f1977,plain,
( $false
| ~ spl0_46
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1973,f47]) ).
fof(f1978,plain,
( ~ spl0_46
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f2014,plain,
( e0 = e2
| ~ spl0_63
| ~ spl0_65 ),
inference(superposition,[],[f511,f503]) ).
fof(f2020,plain,
( $false
| ~ spl0_63
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2014,f52]) ).
fof(f2021,plain,
( ~ spl0_63
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2133,plain,
( e1 = e2
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[],[f587,f591]) ).
fof(f2141,plain,
( $false
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2133,f49]) ).
fof(f2142,plain,
( ~ spl0_83
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f2141]) ).
fof(f2165,plain,
( e2 = e3
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[],[f394,f398]) ).
fof(f2170,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2165,f46]) ).
fof(f2171,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2190,plain,
( e0 = e1
| ~ spl0_49
| ~ spl0_50 ),
inference(superposition,[],[f448,f444]) ).
fof(f2194,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2190,f53]) ).
fof(f2195,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2194]) ).
fof(f2197,plain,
( e0 = e4
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f427,f411]) ).
fof(f2198,plain,
( e0 = e4
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f411,f427]) ).
fof(f2202,plain,
( $false
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2198,f50]) ).
fof(f2203,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2204,plain,
( $false
| ~ spl0_41
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2197,f50]) ).
fof(f2205,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2204]) ).
fof(f2253,plain,
( e1 = e2
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f293,f297]) ).
fof(f2257,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2253,f49]) ).
fof(f2258,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2257]) ).
fof(f2274,plain,
( e2 = e4
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f327,f335]) ).
fof(f2277,plain,
( e1 = e3
| ~ spl0_77
| ~ spl0_79 ),
inference(forward_demodulation,[],[f562,f570]) ).
fof(f2279,plain,
( e0 = e2
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_demodulation,[],[f608,f616]) ).
fof(f2295,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2274,f45]) ).
fof(f2296,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2297,plain,
( $false
| ~ spl0_77
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f2277,f48]) ).
fof(f2298,plain,
( ~ spl0_77
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2299,plain,
( $false
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f2279,f52]) ).
fof(f2300,plain,
( ~ spl0_88
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2305,plain,
( e1 = e2
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_demodulation,[],[f566,f570]) ).
fof(f2322,plain,
( $false
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f2305,f49]) ).
fof(f2323,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2351,plain,
( e1 = e2
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f339,f335]) ).
fof(f2356,plain,
( $false
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2351,f49]) ).
fof(f2357,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2426,plain,
( e1 = e2
| ~ spl0_48
| ~ spl0_49 ),
inference(superposition,[],[f444,f440]) ).
fof(f2431,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2426,f49]) ).
fof(f2432,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2441,plain,
( e1 = e2
| ~ spl0_73
| ~ spl0_74 ),
inference(forward_demodulation,[],[f545,f549]) ).
fof(f2442,plain,
( e2 = e3
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_demodulation,[],[f583,f587]) ).
fof(f2465,plain,
( $false
| ~ spl0_73
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f2441,f49]) ).
fof(f2466,plain,
( ~ spl0_73
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2465]) ).
fof(f2467,plain,
( $false
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f2442,f46]) ).
fof(f2468,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2479,plain,
( e1 = e3
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_demodulation,[],[f625,f633]) ).
fof(f2498,plain,
( $false
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f2479,f48]) ).
fof(f2499,plain,
( ~ spl0_92
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f2498]) ).
fof(f2527,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f251,f247]) ).
fof(f2531,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f2527,f46]) ).
fof(f2532,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2558,plain,
( e0 = e3
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f247,f259]) ).
fof(f2560,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2558,f51]) ).
fof(f2561,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
fof(f2569,plain,
( e1 = e3
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f297,f289]) ).
fof(f2574,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2569,f48]) ).
fof(f2575,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2576,plain,
( e0 = e2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f251,f259]) ).
fof(f2590,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2576,f52]) ).
fof(f2591,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2601,plain,
( e1 = e4
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f339,f327]) ).
fof(f2607,plain,
( $false
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2601,f47]) ).
fof(f2608,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
cnf(s26,plain,
( spl0_126
| spl0_127
| spl0_128
| spl0_129
| spl0_130 ),
inference(sat_conversion,[],[f785]) ).
cnf(s30,plain,
( spl0_2
| spl0_7
| spl0_12
| spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f789]) ).
cnf(s32,plain,
( spl0_3
| spl0_8
| spl0_13
| spl0_18
| spl0_23 ),
inference(sat_conversion,[],[f791]) ).
cnf(s34,plain,
( spl0_4
| spl0_9
| spl0_14
| spl0_19
| spl0_24 ),
inference(sat_conversion,[],[f793]) ).
cnf(s36,plain,
( spl0_5
| spl0_10
| spl0_15
| spl0_20
| spl0_25 ),
inference(sat_conversion,[],[f795]) ).
cnf(s38,plain,
( spl0_26
| spl0_31
| spl0_36
| spl0_41
| spl0_46 ),
inference(sat_conversion,[],[f797]) ).
cnf(s42,plain,
( spl0_28
| spl0_33
| spl0_38
| spl0_43
| spl0_48 ),
inference(sat_conversion,[],[f801]) ).
cnf(s44,plain,
( spl0_29
| spl0_34
| spl0_39
| spl0_44
| spl0_49 ),
inference(sat_conversion,[],[f803]) ).
cnf(s46,plain,
( spl0_30
| spl0_35
| spl0_40
| spl0_45
| spl0_50 ),
inference(sat_conversion,[],[f805]) ).
cnf(s53,plain,
( spl0_14
| spl0_39
| spl0_64
| spl0_89
| spl0_114 ),
inference(sat_conversion,[],[f812]) ).
cnf(s60,plain,
( spl0_77
| spl0_82
| spl0_87
| spl0_92
| spl0_97 ),
inference(sat_conversion,[],[f819]) ).
cnf(s62,plain,
( spl0_78
| spl0_83
| spl0_88
| spl0_93
| spl0_98 ),
inference(sat_conversion,[],[f821]) ).
cnf(s69,plain,
( spl0_22
| spl0_47
| spl0_72
| spl0_97
| spl0_122 ),
inference(sat_conversion,[],[f828]) ).
cnf(s71,plain,
( spl0_23
| spl0_48
| spl0_73
| spl0_98
| spl0_123 ),
inference(sat_conversion,[],[f830]) ).
cnf(s73,plain,
( spl0_24
| spl0_49
| spl0_74
| spl0_99
| spl0_124 ),
inference(sat_conversion,[],[f832]) ).
cnf(s77,plain,
spl0_91,
inference(sat_conversion,[],[f836]) ).
cnf(s79,plain,
( ~ spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f839]) ).
cnf(s80,plain,
( ~ spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f840]) ).
cnf(s81,plain,
( ~ spl0_5
| spl0_21 ),
inference(sat_conversion,[],[f841]) ).
cnf(s83,plain,
( ~ spl0_33
| spl0_37 ),
inference(sat_conversion,[],[f843]) ).
cnf(s84,plain,
( ~ spl0_34
| spl0_42 ),
inference(sat_conversion,[],[f844]) ).
cnf(s85,plain,
( ~ spl0_35
| spl0_47 ),
inference(sat_conversion,[],[f845]) ).
cnf(s89,plain,
( ~ spl0_65
| spl0_73 ),
inference(sat_conversion,[],[f849]) ).
cnf(s90,plain,
( spl0_79
| ~ spl0_91 ),
inference(sat_conversion,[],[f850]) ).
cnf(s91,plain,
( spl0_84
| ~ spl0_92 ),
inference(sat_conversion,[],[f851]) ).
cnf(s92,plain,
( spl0_89
| ~ spl0_93 ),
inference(sat_conversion,[],[f852]) ).
cnf(s93,plain,
( ~ spl0_95
| spl0_99 ),
inference(sat_conversion,[],[f853]) ).
cnf(s96,plain,
( spl0_115
| ~ spl0_123 ),
inference(sat_conversion,[],[f856]) ).
cnf(s99,plain,
( spl0_2
| spl0_32
| spl0_62
| spl0_92
| spl0_122 ),
inference(sat_conversion,[],[f859]) ).
cnf(s100,plain,
( spl0_3
| spl0_33
| spl0_63
| spl0_93
| spl0_123 ),
inference(sat_conversion,[],[f860]) ).
cnf(s101,plain,
( spl0_4
| spl0_34
| spl0_64
| spl0_94
| spl0_124 ),
inference(sat_conversion,[],[f861]) ).
cnf(s102,plain,
( spl0_5
| spl0_35
| spl0_65
| spl0_95
| spl0_125 ),
inference(sat_conversion,[],[f862]) ).
cnf(s103,plain,
spl0_90,
inference(sat_conversion,[],[f863]) ).
cnf(s104,plain,
( ~ spl0_2
| ~ spl0_126 ),
inference(sat_conversion,[],[f879]) ).
cnf(s105,plain,
( ~ spl0_3
| ~ spl0_126 ),
inference(sat_conversion,[],[f883]) ).
cnf(s106,plain,
( ~ spl0_4
| ~ spl0_126 ),
inference(sat_conversion,[],[f888]) ).
cnf(s107,plain,
( ~ spl0_5
| ~ spl0_126 ),
inference(sat_conversion,[],[f894]) ).
cnf(s118,plain,
( spl0_38
| ~ spl0_127 ),
inference(sat_conversion,[],[f955]) ).
cnf(s125,plain,
( ~ spl0_90
| ~ spl0_128 ),
inference(sat_conversion,[],[f997]) ).
cnf(s128,plain,
( spl0_84
| ~ spl0_127 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s129,plain,
( spl0_44
| ~ spl0_127 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s131,plain,
( spl0_50
| ~ spl0_127 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s134,plain,
( ~ spl0_7
| ~ spl0_127 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s135,plain,
( ~ spl0_8
| ~ spl0_127 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s136,plain,
( ~ spl0_9
| ~ spl0_127 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s137,plain,
( ~ spl0_10
| ~ spl0_127 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s139,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s143,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s145,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s147,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s148,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s150,plain,
( ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s152,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s154,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s156,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s158,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s159,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s160,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s162,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s163,plain,
( ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s164,plain,
( ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s166,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s167,plain,
( ~ spl0_47
| ~ spl0_50 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s168,plain,
( ~ spl0_97
| ~ spl0_99 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s175,plain,
( ~ spl0_90
| ~ spl0_129 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s181,plain,
( spl0_99
| ~ spl0_130 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s185,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s187,plain,
( ~ spl0_87
| ~ spl0_90 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s192,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s194,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s196,plain,
( ~ spl0_122
| ~ spl0_125 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s201,plain,
( ~ spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s202,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s203,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s205,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s208,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s209,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s210,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1444]) ).
cnf(s215,plain,
( spl0_19
| ~ spl0_126 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s217,plain,
( ~ spl0_14
| ~ spl0_126 ),
inference(sat_conversion,[],[f1499]) ).
cnf(s219,plain,
( spl0_13
| ~ spl0_126 ),
inference(sat_conversion,[],[f1504]) ).
cnf(s220,plain,
( spl0_7
| ~ spl0_126 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s221,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s224,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s226,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s228,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s230,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s232,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s234,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s236,plain,
( ~ spl0_31
| ~ spl0_34 ),
inference(sat_conversion,[],[f1575]) ).
cnf(s237,plain,
( ~ spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s239,plain,
( ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s241,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s242,plain,
( ~ spl0_62
| ~ spl0_63 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s243,plain,
( ~ spl0_89
| ~ spl0_90 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s245,plain,
( ~ spl0_123
| ~ spl0_125 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s246,plain,
( ~ spl0_63
| ~ spl0_64 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s248,plain,
( ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f1624]) ).
cnf(s251,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s253,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s254,plain,
( ~ spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s256,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s258,plain,
( ~ spl0_41
| ~ spl0_44 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s259,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s260,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1673]) ).
cnf(s261,plain,
( ~ spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s262,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f1683]) ).
cnf(s265,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s268,plain,
( ~ spl0_46
| ~ spl0_48 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s271,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s273,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s279,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s280,plain,
( ~ spl0_42
| ~ spl0_44 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s283,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s284,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s286,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s287,plain,
( ~ spl0_72
| ~ spl0_74 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s288,plain,
( ~ spl0_98
| ~ spl0_99 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s289,plain,
( ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s291,plain,
( ~ spl0_36
| ~ spl0_39 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s292,plain,
( spl0_27
| ~ spl0_126 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s294,plain,
( ~ spl0_41
| ~ spl0_43 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s295,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s296,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(sat_conversion,[],[f1890]) ).
cnf(s298,plain,
( ~ spl0_47
| ~ spl0_48 ),
inference(sat_conversion,[],[f1903]) ).
cnf(s300,plain,
( ~ spl0_47
| ~ spl0_49 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s301,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s302,plain,
( ~ spl0_97
| ~ spl0_98 ),
inference(sat_conversion,[],[f1928]) ).
cnf(s304,plain,
( ~ spl0_46
| ~ spl0_50 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s306,plain,
( ~ spl0_38
| ~ spl0_40 ),
inference(sat_conversion,[],[f1948]) ).
cnf(s308,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s310,plain,
( ~ spl0_46
| ~ spl0_49 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s318,plain,
( ~ spl0_63
| ~ spl0_65 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s338,plain,
( ~ spl0_83
| ~ spl0_84 ),
inference(sat_conversion,[],[f2142]) ).
cnf(s342,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s346,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s347,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s348,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(sat_conversion,[],[f2205]) ).
cnf(s350,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f2258]) ).
cnf(s354,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s355,plain,
( ~ spl0_77
| ~ spl0_79 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s356,plain,
( ~ spl0_88
| ~ spl0_90 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s357,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(sat_conversion,[],[f2323]) ).
cnf(s360,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s364,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s365,plain,
( ~ spl0_73
| ~ spl0_74 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s366,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s368,plain,
( ~ spl0_92
| ~ spl0_94 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s372,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f2532]) ).
cnf(s376,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s378,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s379,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s381,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s382,plain,
~ spl0_88,
inference(rat,[],[s356,s103]) ).
cnf(s383,plain,
~ spl0_89,
inference(rat,[],[s243,s103]) ).
cnf(s384,plain,
~ spl0_87,
inference(rat,[],[s187,s103]) ).
cnf(s385,plain,
~ spl0_129,
inference(rat,[],[s175,s103]) ).
cnf(s386,plain,
~ spl0_128,
inference(rat,[],[s125,s103]) ).
cnf(s387,plain,
~ spl0_93,
inference(rat,[],[s92,s383]) ).
cnf(s388,plain,
spl0_79,
inference(rat,[],[s90,s77]) ).
cnf(s389,plain,
~ spl0_78,
inference(rat,[],[s357,s388]) ).
cnf(s390,plain,
~ spl0_77,
inference(rat,[],[s355,s388]) ).
cnf(s391,plain,
( spl0_83
| spl0_98 ),
inference(rat,[],[s62,s387,s382,s389]) ).
cnf(s393,plain,
( spl0_82
| spl0_92
| spl0_97 ),
inference(rat,[],[s60,s384,s390]) ).
cnf(s394,plain,
( spl0_14
| spl0_39
| spl0_64
| spl0_114 ),
inference(rat,[],[s53,s383]) ).
cnf(s399,plain,
( spl0_126
| spl0_127
| spl0_130 ),
inference(rat,[],[s26,s385,s386]) ).
cnf(s400,plain,
~ spl0_99,
inference(rat,[],[s91,s393,s338,s366,s391,s168,s288]) ).
cnf(s401,plain,
~ spl0_130,
inference(rat,[],[s181,s400]) ).
cnf(s402,plain,
~ spl0_95,
inference(rat,[],[s93,s400]) ).
cnf(s403,plain,
( ~ spl0_17
| spl0_8
| spl0_9
| spl0_23
| spl0_24
| spl0_4
| spl0_3 ),
inference(rat,[],[s350,s32,s34,s147,s150]) ).
cnf(s405,plain,
( ~ spl0_22
| spl0_8
| spl0_10
| spl0_20
| spl0_18
| spl0_3 ),
inference(rat,[],[s36,s203,s81,s32,s154,s156,s201]) ).
cnf(s407,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s159,s34,s36,s150,s152,s379,s192,s162,s143,s79,s137,s136,s399,s105,s401]) ).
cnf(s411,plain,
( ~ spl0_123
| ~ spl0_25
| ~ spl0_127 ),
inference(rat,[],[s287,s69,s73,s262,s289,s346,s167,s131,s302,s391,s338,s128,s201,s160,s400]) ).
cnf(s412,plain,
( ~ spl0_63
| spl0_4
| ~ spl0_2 ),
inference(rat,[],[s248,s101,s102,s246,s318,s376,s85,s167,s131,s84,s280,s129,s368,s393,s302,s391,s338,s166,s128,s399,s104,s402,s401]) ).
cnf(s413,plain,
( spl0_4
| ~ spl0_2 ),
inference(rat,[],[s237,s102,s101,s245,s289,s100,s412,s376,s372,s85,s167,s131,s84,s280,s129,s83,s342,s118,s368,s393,s302,s391,s338,s166,s128,s399,s104,s402,s387,s401]) ).
cnf(s414,plain,
( ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s287,s69,s73,s196,s248,s102,s318,s100,s411,s160,s376,s346,s85,s167,s131,s83,s342,s118,s302,s391,s338,s128,s405,s205,s137,s135,s399,s104,s185,s80,s413,s372,s400,s402,s387,s401]) ).
cnf(s415,plain,
( ~ spl0_123
| ~ spl0_2 ),
inference(rat,[],[s287,s69,s73,s262,s289,s346,s167,s131,s302,s391,s338,s128,s405,s360,s32,s203,s36,s414,s185,s376,s137,s372,s135,s399,s104,s205,s80,s413,s400,s401]) ).
cnf(s416,plain,
~ spl0_2,
inference(rat,[],[s287,s69,s73,s196,s248,s102,s318,s100,s415,s360,s32,s203,s36,s414,s405,s185,s205,s80,s413,s302,s83,s391,s85,s342,s338,s167,s346,s118,s128,s131,s135,s137,s399,s104,s372,s376,s400,s402,s387,s401]) ).
cnf(s418,plain,
( ~ spl0_127
| ~ spl0_25
| spl0_24
| spl0_5
| spl0_3 ),
inference(rat,[],[s287,s69,s73,s196,s248,s102,s318,s100,s302,s83,s391,s85,s342,s338,s167,s346,s411,s118,s128,s131,s201,s400,s402,s387]) ).
cnf(s419,plain,
( spl0_35
| ~ spl0_123
| spl0_33
| ~ spl0_126
| spl0_24
| spl0_5 ),
inference(rat,[],[s283,s46,s42,s346,s364,s73,s253,s296,s365,s394,s89,s237,s102,s217,s230,s226,s292,s289,s245,s254,s96,s400,s402]) ).
cnf(s420,plain,
( ~ spl0_38
| ~ spl0_35
| ~ spl0_27 ),
inference(rat,[],[s84,s44,s256,s258,s38,s251,s253,s228,s224,s239,s300,s286,s85]) ).
cnf(s421,plain,
( ~ spl0_35
| spl0_33
| ~ spl0_27 ),
inference(rat,[],[s291,s44,s38,s84,s148,s294,s308,s42,s420,s286,s298,s300,s85,s239,s228,s226,s224]) ).
cnf(s422,plain,
( ~ spl0_38
| spl0_31
| spl0_46
| spl0_50
| spl0_35
| ~ spl0_27 ),
inference(rat,[],[s347,s38,s46,s251,s306,s230,s224]) ).
cnf(s423,plain,
( ~ spl0_41
| spl0_34
| spl0_50
| spl0_49
| spl0_35
| ~ spl0_27 ),
inference(rat,[],[s295,s44,s46,s258,s348,s230,s228]) ).
cnf(s424,plain,
( spl0_34
| spl0_31
| spl0_46
| spl0_50
| spl0_49
| spl0_35
| ~ spl0_27 ),
inference(rat,[],[s259,s46,s44,s279,s291,s38,s423,s230,s228,s224]) ).
cnf(s425,plain,
( spl0_98
| spl0_73
| spl0_49
| spl0_122
| spl0_62
| spl0_123
| spl0_35
| ~ spl0_27
| spl0_23 ),
inference(rat,[],[s279,s38,s46,s256,s301,s84,s424,s232,s99,s91,s268,s271,s338,s71,s391,s230,s224,s416]) ).
cnf(s426,plain,
( spl0_34
| spl0_50
| spl0_46
| spl0_49
| spl0_122
| spl0_124
| spl0_62
| spl0_64
| spl0_35
| ~ spl0_126 ),
inference(rat,[],[s99,s232,s368,s424,s101,s292,s106,s416]) ).
cnf(s427,plain,
( spl0_49
| spl0_122
| spl0_124
| spl0_62
| spl0_64
| spl0_123
| spl0_33
| ~ spl0_126
| spl0_22
| spl0_23
| spl0_24 ),
inference(rat,[],[s42,s308,s422,s84,s236,s426,s167,s286,s298,s69,s302,s425,s287,s365,s73,s226,s421,s292,s400]) ).
cnf(s428,plain,
( spl0_31
| spl0_46
| spl0_50
| spl0_48
| spl0_33
| ~ spl0_27 ),
inference(rat,[],[s279,s46,s38,s284,s294,s42,s422,s230,s226,s224,s421]) ).
cnf(s429,plain,
( spl0_33
| ~ spl0_25
| spl0_24
| spl0_5
| spl0_3 ),
inference(rat,[],[s368,s99,s101,s232,s236,s428,s310,s346,s364,s427,s196,s248,s102,s242,s246,s318,s100,s419,s421,s208,s201,s292,s106,s399,s418,s416,s402,s387,s401]) ).
cnf(s430,plain,
( ~ spl0_47
| spl0_36
| spl0_39
| spl0_31
| spl0_26
| spl0_29 ),
inference(rat,[],[s84,s44,s256,s258,s38,s286,s300]) ).
cnf(s431,plain,
( ~ spl0_123
| spl0_49
| spl0_35
| spl0_24
| spl0_5 ),
inference(rat,[],[s89,s365,s102,s73,s245,s289,s402,s400]) ).
cnf(s433,plain,
( ~ spl0_41
| spl0_49
| spl0_39
| spl0_29 ),
inference(rat,[],[s84,s44,s256,s258]) ).
cnf(s434,plain,
( spl0_49
| spl0_36
| spl0_39
| spl0_40
| spl0_31
| spl0_26
| spl0_29
| spl0_30 ),
inference(rat,[],[s44,s84,s260,s301,s46,s304,s38,s433,s85,s430]) ).
cnf(s435,plain,
( ~ spl0_25
| spl0_24
| spl0_3
| spl0_5 ),
inference(rat,[],[s347,s38,s46,s310,s346,s434,s85,s430,s241,s265,s273,s83,s234,s429,s224,s228,s230,s292,s399,s418,s401]) ).
cnf(s436,plain,
( ~ spl0_127
| spl0_72
| spl0_122
| spl0_124
| spl0_64
| spl0_3 ),
inference(rat,[],[s405,s185,s205,s80,s101,s368,s393,s69,s302,s391,s84,s166,s338,s280,s167,s128,s129,s131,s135,s137]) ).
cnf(s437,plain,
( ~ spl0_126
| spl0_25
| spl0_5 ),
inference(rat,[],[s36,s164,s203,s194,s215,s219,s220]) ).
cnf(s438,plain,
( ~ spl0_63
| spl0_24
| spl0_5
| spl0_3 ),
inference(rat,[],[s287,s436,s73,s196,s248,s102,s246,s318,s346,s85,s167,s131,s399,s437,s435,s400,s402,s401]) ).
cnf(s439,plain,
( spl0_24
| spl0_5
| spl0_3 ),
inference(rat,[],[s100,s83,s438,s431,s85,s342,s167,s346,s118,s131,s399,s437,s435,s401,s387]) ).
cnf(s440,plain,
( ~ spl0_123
| spl0_97
| spl0_47
| spl0_22
| spl0_5 ),
inference(rat,[],[s89,s261,s102,s69,s245,s262,s85,s402]) ).
cnf(s441,plain,
( spl0_5
| spl0_3 ),
inference(rat,[],[s202,s36,s32,s185,s205,s80,s101,s248,s102,s246,s318,s100,s440,s368,s393,s302,s83,s391,s84,s85,s342,s166,s338,s280,s167,s118,s128,s129,s131,s135,s137,s399,s437,s158,s160,s360,s439,s401,s387,s402]) ).
cnf(s443,plain,
( ~ spl0_16
| spl0_3 ),
inference(rat,[],[s209,s30,s32,s145,s205,s354,s154,s81,s135,s134,s399,s107,s441,s416,s401]) ).
cnf(s444,plain,
spl0_3,
inference(rat,[],[s221,s32,s34,s210,s378,s30,s403,s80,s443,s134,s135,s136,s154,s354,s381,s399,s81,s107,s441,s416,s401]) ).
cnf(s445,plain,
~ spl0_5,
inference(rat,[],[s379,s444]) ).
cnf(s446,plain,
~ spl0_4,
inference(rat,[],[s192,s444]) ).
cnf(s447,plain,
~ spl0_126,
inference(rat,[],[s105,s444]) ).
cnf(s448,plain,
spl0_11,
inference(rat,[],[s79,s444]) ).
cnf(s449,plain,
~ spl0_17,
inference(rat,[],[s407,s444]) ).
cnf(s450,plain,
spl0_127,
inference(rat,[],[s399,s401,s447]) ).
cnf(s451,plain,
~ spl0_15,
inference(rat,[],[s162,s448]) ).
cnf(s452,plain,
~ spl0_14,
inference(rat,[],[s143,s448]) ).
cnf(s454,plain,
~ spl0_12,
inference(rat,[],[s139,s448]) ).
cnf(s455,plain,
~ spl0_10,
inference(rat,[],[s137,s450]) ).
cnf(s456,plain,
~ spl0_9,
inference(rat,[],[s136,s450]) ).
cnf(s458,plain,
~ spl0_7,
inference(rat,[],[s134,s450]) ).
cnf(s466,plain,
spl0_22,
inference(rat,[],[s30,s449,s454,s416,s458]) ).
cnf(s487,plain,
~ spl0_25,
inference(rat,[],[s201,s466]) ).
cnf(s488,plain,
~ spl0_24,
inference(rat,[],[s158,s466]) ).
cnf(s496,plain,
spl0_20,
inference(rat,[],[s36,s455,s445,s451,s487]) ).
cnf(s497,plain,
spl0_19,
inference(rat,[],[s34,s456,s446,s452,s488]) ).
cnf(s502,plain,
$false,
inference(rat,[],[s163,s496,s497]) ).
fof(f2609,plain,
$false,
inference(avatar_sat_refutation,[],[s502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG054+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n011.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 19:21:15 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/1.24 % (3689696)Detected formulas, will run a generic FOF schedule.
% 4.21/1.24 % (3689707)dis-21_1_sil=8000:lcm=predicate:random_seed=2499410019:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.21/1.24 % (3689707)Refutation not found, incomplete strategy
% 4.21/1.24 % (3689707)------------------------------
% 4.21/1.24 % (3689707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.24 % (3689707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.24 % (3689707)CaDiCaL version: 2.1.3
% 4.21/1.24 % (3689707)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.24 % (3689707)Time elapsed: 0.006 s
% 4.21/1.24 % (3689707)Peak memory usage: 88 MB
% 4.21/1.24 % (3689707)Instructions burned: 19 (million)
% 4.21/1.24 % (3689706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2918691583:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.21/1.24 % (3689702)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2438185504:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.21/1.24 % (3689704)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3751362618:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.21/1.24 % (3689705)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1332662214:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.21/1.24 % (3689703)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2803298575:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.21/1.24 % (3689701)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3367233532:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.21/1.24 % (3689704)Refutation not found, incomplete strategy
% 4.21/1.24 % (3689704)------------------------------
% 4.21/1.24 % (3689704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.24 % (3689704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.24 % (3689704)CaDiCaL version: 2.1.3
% 4.21/1.24 % (3689704)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.24 % (3689704)Time elapsed: 0.013 s
% 4.21/1.24 % (3689704)Peak memory usage: 89 MB
% 4.21/1.24 % (3689704)Instructions burned: 24 (million)
% 4.21/1.24 % (3689705)Instruction limit reached!
% 4.21/1.24 % (3689705)------------------------------
% 4.21/1.24 % (3689705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.24 % (3689705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.24 % (3689705)CaDiCaL version: 2.1.3
% 4.21/1.24 % (3689705)Termination reason: Instruction limit
% 4.21/1.24 % (3689705)Termination phase: Saturation
% 4.21/1.24 % (3689705)Time elapsed: 0.053 s
% 4.21/1.24 % (3689705)Peak memory usage: 87 MB
% 4.21/1.24 % (3689705)Instructions burned: 121 (million)
% 4.21/1.24 % (3689706)Instruction limit reached!
% 4.21/1.24 % (3689706)------------------------------
% 4.21/1.24 % (3689706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.24 % (3689706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.24 % (3689706)CaDiCaL version: 2.1.3
% 4.21/1.24 % (3689706)Termination reason: Instruction limit
% 4.21/1.24 % (3689706)Termination phase: Saturation
% 4.21/1.24 % (3689706)Time elapsed: 0.078 s
% 4.21/1.24 % (3689706)Peak memory usage: 89 MB
% 4.21/1.24 % (3689706)Instructions burned: 141 (million)
% 4.21/1.24 % (3689707)------------------------------
% 4.21/1.24 % (3689707)------------------------------
% 4.21/1.24 % (3689715)lrs+10_1_sil=8000:sp=occurrence:random_seed=3116246068:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.21/1.24 % (3689717)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2591707655:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.21/1.24 % (3689716)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2918479141:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.21/1.24 % (3689717)First to succeed.
% 4.21/1.24 % (3689715)Also succeeded, but the first one will report.
% 4.21/1.24 % (3689717)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3689696"
% 4.21/1.24 % (3689704)------------------------------
% 4.21/1.24 % (3689704)------------------------------
% 4.21/1.24 % (3689716)Also succeeded, but the first one will report.
% 4.21/1.24 [W928 19:21:16.609333221 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609333301 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609373167 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609373794 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609409171 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609410111 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609421634 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609424884 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609447511 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609451484 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609459854 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609462261 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609910261 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609946941 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.609990745 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.610011751 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.610051268 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 [W928 19:21:16.610062285 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.21/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.21/1.24 % (3689717)Refutation found. Thanks to Tanya!
% 4.21/1.24 % SZS status Theorem for theBenchmark
% 4.21/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 4.81/1.43 % (3689717)------------------------------
% 4.81/1.43 % (3689717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.43 % (3689717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.43 % (3689717)CaDiCaL version: 2.1.3
% 4.81/1.43 % (3689717)Termination reason: Refutation
% 4.81/1.43 % (3689717)Time elapsed: 0.026 s
% 4.81/1.43 % (3689717)Peak memory usage: 90 MB
% 4.81/1.43 % (3689717)Instructions burned: 89 (million)
% 4.81/1.43 % (3689717)------------------------------
% 4.81/1.43 % (3689717)------------------------------
% 4.81/1.43 % (3689696)Success in time 0.594 s
% 4.81/1.43 % Vampire exiting
%------------------------------------------------------------------------------