%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 0.79s 0.39s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 72
% Syntax : Number of formulae : 671 ( 71 unt; 62 def)
% Number of atoms : 2024 ( 771 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 2304 ( 951 ~;1108 |; 183 &)
% ( 62 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 64 ( 62 usr; 63 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f6,axiom,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e4),e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f92,axiom,
~ ( e3 = op(e4,e2)
& e0 = op(e2,op(e4,e2))
& e1 = op(op(e4,e2),op(e2,op(e4,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f122,axiom,
~ ( e4 = op(e2,e3)
& e0 = op(e3,op(e2,e3))
& e1 = op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
fof(f123,axiom,
~ ( e4 = op(e0,e3)
& e1 = op(e3,op(e0,e3))
& e2 = op(op(e0,e3),op(e3,op(e0,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
fof(f124,axiom,
~ ( e4 = op(e2,e3)
& e1 = op(e3,op(e2,e3))
& e0 = op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
fof(f125,axiom,
~ ( e4 = op(e0,e3)
& e2 = op(e3,op(e0,e3))
& e1 = op(op(e0,e3),op(e3,op(e0,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
fof(f126,axiom,
~ ( e4 = op(e1,e3)
& e2 = op(e3,op(e1,e3))
& e0 = op(op(e1,e3),op(e3,op(e1,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
fof(f212,plain,
( e3 != op(e4,e2)
| e0 != op(e2,op(e4,e2))
| e1 != op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(ennf_transformation,[],[f92]) ).
fof(f242,plain,
( e4 != op(e2,e3)
| e0 != op(e3,op(e2,e3))
| e1 != op(op(e2,e3),op(e3,op(e2,e3))) ),
inference(ennf_transformation,[],[f122]) ).
fof(f243,plain,
( e4 != op(e0,e3)
| e1 != op(e3,op(e0,e3))
| e2 != op(op(e0,e3),op(e3,op(e0,e3))) ),
inference(ennf_transformation,[],[f123]) ).
fof(f244,plain,
( e4 != op(e2,e3)
| e1 != op(e3,op(e2,e3))
| e0 != op(op(e2,e3),op(e3,op(e2,e3))) ),
inference(ennf_transformation,[],[f124]) ).
fof(f245,plain,
( e4 != op(e0,e3)
| e2 != op(e3,op(e0,e3))
| e1 != op(op(e0,e3),op(e3,op(e0,e3))) ),
inference(ennf_transformation,[],[f125]) ).
fof(f246,plain,
( e4 != op(e1,e3)
| e2 != op(e3,op(e1,e3))
| e0 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(ennf_transformation,[],[f126]) ).
fof(f247,plain,
( e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f248,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f249,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f250,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f251,plain,
( e0 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f252,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f322,plain,
e4 = op(op(e4,e4),op(e4,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f323,plain,
e4 = op(op(e3,e4),op(e4,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f327,plain,
e3 = op(op(e4,e3),op(e3,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f328,plain,
e3 = op(op(e3,e3),op(e3,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f329,plain,
e3 = op(op(e2,e3),op(e3,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f330,plain,
e3 = op(op(e1,e3),op(e3,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
e2 = op(op(e4,e2),op(e2,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f334,plain,
e2 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
e2 = op(op(e1,e2),op(e2,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f337,plain,
e1 = op(op(e4,e1),op(e1,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
e1 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
e0 = op(op(e4,e0),op(e0,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f346,plain,
e0 = op(op(e0,e0),op(e0,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f348,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f349,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f350,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f351,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f352,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f353,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f354,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f355,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f356,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f365,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f381,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f385,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f397,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f410,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f413,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f420,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f423,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f424,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f438,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f439,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f458,plain,
e4 = op(op(e4,e3),e3),
inference(cnf_transformation,[],[f6]) ).
fof(f459,plain,
e4 = op(op(e4,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f460,plain,
e4 = op(op(e4,e1),e1),
inference(cnf_transformation,[],[f6]) ).
fof(f461,plain,
e4 = op(op(e4,e0),e0),
inference(cnf_transformation,[],[f6]) ).
fof(f462,plain,
e3 = op(op(e3,e4),e4),
inference(cnf_transformation,[],[f6]) ).
fof(f463,plain,
e3 = op(op(e3,e3),e3),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
e2 = op(op(e2,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f475,plain,
e1 = op(op(e1,e1),e1),
inference(cnf_transformation,[],[f6]) ).
fof(f476,plain,
e1 = op(op(e1,e0),e0),
inference(cnf_transformation,[],[f6]) ).
fof(f480,plain,
e0 = op(op(e0,e1),e1),
inference(cnf_transformation,[],[f6]) ).
fof(f481,plain,
e0 = op(op(e0,e0),e0),
inference(cnf_transformation,[],[f6]) ).
fof(f567,plain,
( e3 != op(e4,e2)
| e0 != op(e2,op(e4,e2))
| e1 != op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(cnf_transformation,[],[f212]) ).
fof(f597,plain,
( e4 != op(e2,e3)
| e0 != op(e3,op(e2,e3))
| e1 != op(op(e2,e3),op(e3,op(e2,e3))) ),
inference(cnf_transformation,[],[f242]) ).
fof(f598,plain,
( e4 != op(e0,e3)
| e1 != op(e3,op(e0,e3))
| e2 != op(op(e0,e3),op(e3,op(e0,e3))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f599,plain,
( e4 != op(e2,e3)
| e1 != op(e3,op(e2,e3))
| e0 != op(op(e2,e3),op(e3,op(e2,e3))) ),
inference(cnf_transformation,[],[f244]) ).
fof(f600,plain,
( e4 != op(e0,e3)
| e2 != op(e3,op(e0,e3))
| e1 != op(op(e0,e3),op(e3,op(e0,e3))) ),
inference(cnf_transformation,[],[f245]) ).
fof(f601,plain,
( e4 != op(e1,e3)
| e2 != op(e3,op(e1,e3))
| e0 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(cnf_transformation,[],[f246]) ).
fof(f624,definition,
( spl0_6
<=> e0 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f625,plain,
( e0 = op(e4,e1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
( e0 != op(e4,e1)
| spl0_6 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f633,definition,
( spl0_8
<=> e3 = op(e1,op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f634,plain,
( e3 = op(e1,op(e2,e1))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f635,plain,
( e3 != op(e1,op(e2,e1))
| spl0_8 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f690,definition,
( spl0_21
<=> e0 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f691,plain,
( e0 = op(e4,e2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( e0 != op(e4,e2)
| spl0_21 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f708,definition,
( spl0_25
<=> e1 = op(op(e4,e2),op(e2,op(e4,e2))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f710,plain,
( e1 != op(op(e4,e2),op(e2,op(e4,e2)))
| spl0_25 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f739,definition,
( spl0_32
<=> e1 = op(e3,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f741,plain,
( e1 != op(e3,op(e2,e3))
| spl0_32 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f743,definition,
( spl0_33
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f744,plain,
( e0 = op(e2,e3)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( e0 != op(e2,e3)
| spl0_33 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f756,definition,
( spl0_36
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f757,plain,
( e0 = op(e4,e3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( e0 != op(e4,e3)
| spl0_36 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f765,definition,
( spl0_38
<=> e2 = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f767,plain,
( e2 != op(e3,op(e1,e3))
| spl0_38 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f787,definition,
( spl0_43
<=> e4 = op(e3,op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f788,plain,
( e4 = op(e3,op(e1,e3))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f789,plain,
( e4 != op(e3,op(e1,e3))
| spl0_43 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f792,definition,
( spl0_44
<=> e1 = op(op(e2,e3),op(e3,op(e2,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f794,plain,
( e1 != op(op(e2,e3),op(e3,op(e2,e3)))
| spl0_44 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f818,definition,
( spl0_50
<=> e1 = op(e4,op(e3,e4)) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f820,plain,
( e1 != op(e4,op(e3,e4))
| spl0_50 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f822,definition,
( spl0_51
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f823,plain,
( e0 = op(e3,e4)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f824,plain,
( e0 != op(e3,e4)
| spl0_51 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f844,definition,
( spl0_56
<=> e2 = op(e4,op(e3,e4)) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f846,plain,
( e2 != op(e4,op(e3,e4))
| spl0_56 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f875,definition,
( spl0_63
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f876,plain,
( e1 = op(e3,e0)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f877,plain,
( e1 != op(e3,e0)
| spl0_63 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f888,definition,
( spl0_66
<=> e1 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f889,plain,
( e1 = op(e4,e0)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f890,plain,
( e1 != op(e4,e0)
| spl0_66 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f950,definition,
( spl0_80
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f951,plain,
( e1 = op(e4,e2)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f952,plain,
( e1 != op(e4,e2)
| spl0_80 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f977,definition,
( spl0_86
<=> e2 = op(e3,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f979,plain,
( e2 != op(e3,op(e0,e3))
| spl0_86 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f990,definition,
( spl0_89
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f991,plain,
( e1 = op(e4,e3)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f995,definition,
( spl0_90
<=> e2 = op(op(e0,e3),op(e3,op(e0,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f997,plain,
( e2 != op(op(e0,e3),op(e3,op(e0,e3)))
| spl0_90 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1004,definition,
( spl0_92
<=> e0 = op(op(e2,e3),op(e3,op(e2,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f1006,plain,
( e0 != op(op(e2,e3),op(e3,op(e2,e3)))
| spl0_92 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1008,definition,
( spl0_93
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f1010,plain,
( e1 != op(e2,e3)
| spl0_93 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1030,definition,
( spl0_98
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f1031,plain,
( e1 = op(e3,e4)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( e1 != op(e3,e4)
| spl0_98 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1070,definition,
( spl0_107
<=> e2 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f1071,plain,
( e2 = op(e4,e0)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1072,plain,
( e2 != op(e4,e0)
| spl0_107 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1110,definition,
( spl0_116
<=> e2 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f1111,plain,
( e2 = op(e4,e1)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1112,plain,
( e2 != op(e4,e1)
| spl0_116 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1137,definition,
( spl0_122
<=> e2 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f1138,plain,
( e2 = op(e4,e3)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1143,definition,
( spl0_123
<=> e1 = op(op(e0,e3),op(e3,op(e0,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f1145,plain,
( e1 != op(op(e0,e3),op(e3,op(e0,e3)))
| spl0_123 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1147,definition,
( spl0_124
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f1149,plain,
( e2 != op(e0,e3)
| spl0_124 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1152,definition,
( spl0_125
<=> e0 = op(op(e1,e3),op(e3,op(e1,e3))) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f1154,plain,
( e0 != op(op(e1,e3),op(e3,op(e1,e3)))
| spl0_125 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1156,definition,
( spl0_126
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f1158,plain,
( e2 != op(e1,e3)
| spl0_126 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1161,definition,
( spl0_127
<=> e0 = op(e4,op(e3,e4)) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f1162,plain,
( e0 = op(e4,op(e3,e4))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( e0 != op(e4,op(e3,e4))
| spl0_127 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1165,definition,
( spl0_128
<=> e2 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1166,plain,
( e2 = op(e3,e4)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1167,plain,
( e2 != op(e3,e4)
| spl0_128 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1193,definition,
( spl0_134
<=> e3 = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1194,plain,
( e3 = op(e4,e0)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1195,plain,
( e3 != op(e4,e0)
| spl0_134 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1203,definition,
( spl0_136
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1204,plain,
( e3 = op(e1,e0)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1205,plain,
( e3 != op(e1,e0)
| spl0_136 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1212,definition,
( spl0_138
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1214,plain,
( e3 != op(e2,e0)
| spl0_138 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1221,definition,
( spl0_140
<=> e3 = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1222,plain,
( e3 = op(e4,e1)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1223,plain,
( e3 != op(e4,e1)
| spl0_140 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1245,definition,
( spl0_145
<=> e0 = op(e2,op(e4,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1247,plain,
( e0 != op(e2,op(e4,e2))
| spl0_145 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1249,definition,
( spl0_146
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1250,plain,
( e3 = op(e4,e2)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1251,plain,
( e3 != op(e4,e2)
| spl0_146 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1252,plain,
( ~ spl0_25
| ~ spl0_145
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f567,f1249,f1245,f708]) ).
fof(f1259,definition,
( spl0_148
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1261,plain,
( e3 != op(e0,e2)
| spl0_148 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1268,definition,
( spl0_150
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1270,plain,
( e3 != op(e1,e2)
| spl0_150 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1277,definition,
( spl0_152
<=> e3 = op(e1,e4) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1278,plain,
( e3 = op(e1,e4)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1279,plain,
( e3 != op(e1,e4)
| spl0_152 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1286,definition,
( spl0_154
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1287,plain,
( e3 = op(e2,e4)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1288,plain,
( e3 != op(e2,e4)
| spl0_154 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1295,definition,
( spl0_156
<=> e3 = op(e0,e4) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1296,plain,
( e3 = op(e0,e4)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1297,plain,
( e3 != op(e0,e4)
| spl0_156 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1307,definition,
( spl0_158
<=> e4 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1309,plain,
( e4 != op(e2,e0)
| spl0_158 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1316,definition,
( spl0_160
<=> e4 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1317,plain,
( e4 = op(e3,e0)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1318,plain,
( e4 != op(e3,e0)
| spl0_160 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1325,definition,
( spl0_162
<=> e4 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1327,plain,
( e4 != op(e1,e0)
| spl0_162 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1337,definition,
( spl0_164
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1338,plain,
( e4 = op(e2,e1)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1346,definition,
( spl0_166
<=> e4 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1347,plain,
( e4 = op(e3,e1)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1348,plain,
( e4 != op(e3,e1)
| spl0_166 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1355,definition,
( spl0_168
<=> e4 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1356,plain,
( e4 = op(e0,e1)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1357,plain,
( e4 != op(e0,e1)
| spl0_168 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1367,definition,
( spl0_170
<=> e4 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1368,plain,
( e4 = op(e1,e2)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1369,plain,
( e4 != op(e1,e2)
| spl0_170 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1376,definition,
( spl0_172
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1377,plain,
( e4 = op(e3,e2)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1378,plain,
( e4 != op(e3,e2)
| spl0_172 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1385,definition,
( spl0_174
<=> e4 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1386,plain,
( e4 = op(e0,e2)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1397,definition,
( spl0_176
<=> e4 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1398,plain,
( e4 = op(e1,e3)
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1399,plain,
( e4 != op(e1,e3)
| spl0_176 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1402,definition,
( spl0_177
<=> e0 = op(e3,op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f1404,plain,
( e0 != op(e3,op(e2,e3))
| spl0_177 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1406,definition,
( spl0_178
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1407,plain,
( e4 = op(e2,e3)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1408,plain,
( e4 != op(e2,e3)
| spl0_178 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1409,plain,
( ~ spl0_44
| ~ spl0_177
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f597,f1406,f1402,f792]) ).
fof(f1411,definition,
( spl0_179
<=> e1 = op(e3,op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1413,plain,
( e1 != op(e3,op(e0,e3))
| spl0_179 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1415,definition,
( spl0_180
<=> e4 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f1416,plain,
( e4 = op(e0,e3)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1417,plain,
( e4 != op(e0,e3)
| spl0_180 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1418,plain,
( ~ spl0_90
| ~ spl0_179
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f598,f1415,f1411,f995]) ).
fof(f1419,plain,
( ~ spl0_92
| ~ spl0_32
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f599,f1406,f739,f1004]) ).
fof(f1420,plain,
( ~ spl0_123
| ~ spl0_86
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f600,f1415,f977,f1143]) ).
fof(f1421,plain,
( ~ spl0_125
| ~ spl0_38
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f601,f1397,f765,f1152]) ).
fof(f1423,definition,
( spl0_181
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f1425,plain,
( e4 = op(e4,e4)
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1427,definition,
( spl0_182
<=> e3 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
fof(f1428,plain,
( e3 != op(e4,e4)
| spl0_182 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1429,plain,
( e3 = op(e4,e4)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1431,definition,
( spl0_183
<=> e2 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1432,plain,
( e2 != op(e4,e4)
| spl0_183 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1433,plain,
( e2 = op(e4,e4)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1435,definition,
( spl0_184
<=> e1 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1436,plain,
( e1 != op(e4,e4)
| spl0_184 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1437,plain,
( e1 = op(e4,e4)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1439,definition,
( spl0_185
<=> e0 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1440,plain,
( e0 != op(e4,e4)
| spl0_185 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1441,plain,
( e0 = op(e4,e4)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1442,plain,
( spl0_181
| spl0_182
| spl0_183
| spl0_184
| spl0_185 ),
inference(avatar_split_clause,[],[f247,f1439,f1435,f1431,f1427,f1423]) ).
fof(f1444,plain,
( e4 != op(e4,e3)
| ~ spl0_181 ),
inference(superposition,[],[f347,f1425]) ).
fof(f1453,plain,
( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3)
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f248,f758]) ).
fof(f1454,plain,
( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| spl0_36
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f1453,f1444]) ).
fof(f1456,definition,
( spl0_186
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
fof(f1457,plain,
( e3 != op(e4,e3)
| spl0_186 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1458,plain,
( e3 = op(e4,e3)
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1459,plain,
( spl0_186
| spl0_122
| spl0_89
| spl0_36
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1454,f1423,f756,f990,f1137,f1456]) ).
fof(f1469,plain,
( e4 = op(e3,e3)
| ~ spl0_186 ),
inference(superposition,[],[f458,f1458]) ).
fof(f1479,plain,
( e3 = op(e4,e4)
| ~ spl0_186 ),
inference(superposition,[],[f328,f1469]) ).
fof(f1500,plain,
( spl0_182
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1479,f1456,f1427]) ).
fof(f1502,plain,
( e4 = op(e3,e3)
| ~ spl0_182 ),
inference(superposition,[],[f322,f1429]) ).
fof(f1503,plain,
( e3 != op(e4,e3)
| ~ spl0_182 ),
inference(superposition,[],[f347,f1429]) ).
fof(f1517,plain,
( $false
| ~ spl0_182
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f1503,f1458]) ).
fof(f1518,plain,
( ~ spl0_182
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1532,plain,
( e3 = op(e4,e3)
| ~ spl0_182 ),
inference(superposition,[],[f463,f1502]) ).
fof(f1533,plain,
( $false
| ~ spl0_182
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f1532,f1457]) ).
fof(f1534,plain,
( ~ spl0_182
| spl0_186 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1535,plain,
( e4 = op(e2,e2)
| ~ spl0_183 ),
inference(superposition,[],[f322,f1433]) ).
fof(f1537,plain,
( e2 != op(e4,e2)
| ~ spl0_183 ),
inference(superposition,[],[f348,f1433]) ).
fof(f1553,plain,
( e2 = op(e4,e2)
| ~ spl0_183 ),
inference(superposition,[],[f469,f1535]) ).
fof(f1554,plain,
( $false
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f1553,f1537]) ).
fof(f1555,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f1554]) ).
fof(f1556,plain,
( e4 = op(e1,e1)
| ~ spl0_184 ),
inference(superposition,[],[f322,f1437]) ).
fof(f1559,plain,
( e1 != op(e4,e1)
| ~ spl0_184 ),
inference(superposition,[],[f350,f1437]) ).
fof(f1572,plain,
( e1 = op(e4,e1)
| ~ spl0_184 ),
inference(superposition,[],[f475,f1556]) ).
fof(f1575,plain,
( $false
| ~ spl0_184 ),
inference(global_subsumption,[],[f1572,f1559]) ).
fof(f1576,plain,
~ spl0_184,
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1577,plain,
( op(e0,e0) = e4
| ~ spl0_185 ),
inference(superposition,[],[f322,f1441]) ).
fof(f1581,plain,
( e0 != op(e4,e0)
| ~ spl0_185 ),
inference(superposition,[],[f353,f1441]) ).
fof(f1592,plain,
( e0 = op(e4,e0)
| ~ spl0_185 ),
inference(superposition,[],[f481,f1577]) ).
fof(f1593,plain,
( $false
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f1592,f1581]) ).
fof(f1594,plain,
~ spl0_185,
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1607,plain,
( e4 = op(e0,e3)
| ~ spl0_36 ),
inference(superposition,[],[f458,f757]) ).
fof(f1615,plain,
( $false
| ~ spl0_36
| spl0_180 ),
inference(forward_subsumption_resolution,[],[f1607,f1417]) ).
fof(f1616,plain,
( ~ spl0_36
| spl0_180 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1628,plain,
( e4 = op(e1,e3)
| ~ spl0_89 ),
inference(superposition,[],[f458,f991]) ).
fof(f1636,plain,
( $false
| ~ spl0_89
| spl0_176 ),
inference(forward_subsumption_resolution,[],[f1628,f1399]) ).
fof(f1637,plain,
( ~ spl0_89
| spl0_176 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1649,plain,
( e4 = op(e2,e3)
| ~ spl0_122 ),
inference(superposition,[],[f458,f1138]) ).
fof(f1657,plain,
( $false
| ~ spl0_122
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f1649,f1408]) ).
fof(f1658,plain,
( ~ spl0_122
| spl0_178 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1659,plain,
( e4 = op(op(e3,e4),e1)
| ~ spl0_89 ),
inference(superposition,[],[f323,f991]) ).
fof(f1661,plain,
( e1 != op(e4,e2)
| ~ spl0_89 ),
inference(superposition,[],[f349,f991]) ).
fof(f1663,plain,
( e1 != op(e4,e0)
| ~ spl0_89 ),
inference(superposition,[],[f354,f991]) ).
fof(f1665,plain,
( e1 != op(e2,e3)
| ~ spl0_89 ),
inference(superposition,[],[f408,f991]) ).
fof(f1676,plain,
( ~ spl0_93
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1665,f990,f1008]) ).
fof(f1681,plain,
( e4 != op(e1,e1)
| ~ spl0_176 ),
inference(superposition,[],[f381,f1398]) ).
fof(f1686,plain,
( e2 != op(e3,e4)
| spl0_38
| ~ spl0_176 ),
inference(superposition,[],[f767,f1398]) ).
fof(f1689,plain,
( e4 != op(e3,e4)
| spl0_43
| ~ spl0_176 ),
inference(superposition,[],[f789,f1398]) ).
fof(f1695,plain,
( e4 != op(e4,e2)
| ~ spl0_181 ),
inference(superposition,[],[f348,f1425]) ).
fof(f1696,plain,
( e4 != op(e4,e1)
| ~ spl0_181 ),
inference(superposition,[],[f350,f1425]) ).
fof(f1697,plain,
( e4 != op(e4,e0)
| ~ spl0_181 ),
inference(superposition,[],[f353,f1425]) ).
fof(f1698,plain,
( e4 != op(e3,e4)
| ~ spl0_181 ),
inference(superposition,[],[f397,f1425]) ).
fof(f1708,plain,
( e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f249,f692]) ).
fof(f1709,plain,
( e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| spl0_21
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f1708,f952]) ).
fof(f1710,plain,
( e2 = op(e4,e2)
| e4 = op(e4,e2)
| spl0_21
| spl0_80
| spl0_146 ),
inference(forward_subsumption_resolution,[],[f1709,f1251]) ).
fof(f1711,plain,
( e2 = op(e4,e2)
| spl0_21
| spl0_80
| spl0_146
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f1710,f1695]) ).
fof(f1720,plain,
( e4 = op(e2,e2)
| spl0_21
| spl0_80
| spl0_146
| ~ spl0_181 ),
inference(superposition,[],[f459,f1711]) ).
fof(f1731,plain,
( e2 = op(e4,e4)
| spl0_21
| spl0_80
| spl0_146
| ~ spl0_181 ),
inference(superposition,[],[f334,f1720]) ).
fof(f1742,plain,
( $false
| spl0_21
| spl0_80
| spl0_146
| ~ spl0_181
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f1731,f1432]) ).
fof(f1743,plain,
( spl0_21
| spl0_80
| spl0_146
| ~ spl0_181
| spl0_183 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
fof(f1755,plain,
( e4 = op(e0,e2)
| ~ spl0_21 ),
inference(superposition,[],[f459,f691]) ).
fof(f1765,plain,
( spl0_174
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1755,f690,f1385]) ).
fof(f1768,plain,
( ~ spl0_80
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1661,f990,f950]) ).
fof(f1773,plain,
( e3 != op(e4,e1)
| ~ spl0_146 ),
inference(superposition,[],[f352,f1250]) ).
fof(f1774,plain,
( e3 != op(e4,e0)
| ~ spl0_146 ),
inference(superposition,[],[f355,f1250]) ).
fof(f1777,plain,
( e3 != op(e1,e2)
| ~ spl0_146 ),
inference(superposition,[],[f420,f1250]) ).
fof(f1778,plain,
( e3 != op(e0,e2)
| ~ spl0_146 ),
inference(superposition,[],[f423,f1250]) ).
fof(f1779,plain,
( e4 = op(e3,e2)
| ~ spl0_146 ),
inference(superposition,[],[f459,f1250]) ).
fof(f1787,plain,
( $false
| ~ spl0_146
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f1779,f1378]) ).
fof(f1788,plain,
( ~ spl0_146
| spl0_172 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1789,plain,
( ~ spl0_150
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1777,f1249,f1268]) ).
fof(f1790,plain,
( ~ spl0_148
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1778,f1249,f1259]) ).
fof(f1797,plain,
( e4 != op(e0,e2)
| ~ spl0_172 ),
inference(superposition,[],[f424,f1377]) ).
fof(f1805,plain,
( ~ spl0_174
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1797,f1376,f1385]) ).
fof(f1807,plain,
( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f250,f626]) ).
fof(f1822,plain,
( e4 = op(e2,e1)
| ~ spl0_116 ),
inference(superposition,[],[f460,f1111]) ).
fof(f1831,plain,
( spl0_164
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1822,f1110,f1337]) ).
fof(f1833,plain,
( ~ spl0_140
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1773,f1249,f1221]) ).
fof(f1836,plain,
( e2 != op(e4,e0)
| ~ spl0_116 ),
inference(superposition,[],[f356,f1111]) ).
fof(f1864,plain,
( e0 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f251,f890]) ).
fof(f1865,plain,
( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| spl0_66
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f1864,f1072]) ).
fof(f1866,plain,
( e0 = op(e4,e0)
| e4 = op(e4,e0)
| spl0_66
| spl0_107
| spl0_134 ),
inference(forward_subsumption_resolution,[],[f1865,f1195]) ).
fof(f1867,plain,
( e0 = op(e4,e0)
| spl0_66
| spl0_107
| spl0_134
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f1866,f1697]) ).
fof(f1874,plain,
( op(e0,e0) = e4
| spl0_66
| spl0_107
| spl0_134
| ~ spl0_181 ),
inference(superposition,[],[f461,f1867]) ).
fof(f1883,plain,
( e0 = op(e4,e4)
| spl0_66
| spl0_107
| spl0_134
| ~ spl0_181 ),
inference(superposition,[],[f346,f1874]) ).
fof(f1890,plain,
( $false
| spl0_66
| spl0_107
| spl0_134
| ~ spl0_181
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f1883,f1440]) ).
fof(f1891,plain,
( spl0_66
| spl0_107
| spl0_134
| ~ spl0_181
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1895,plain,
( ~ spl0_66
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1663,f990,f888]) ).
fof(f1898,plain,
( ~ spl0_107
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1836,f1110,f1070]) ).
fof(f1901,plain,
( ~ spl0_134
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1774,f1249,f1193]) ).
fof(f1926,plain,
( e4 = op(e2,e0)
| ~ spl0_107 ),
inference(superposition,[],[f461,f1071]) ).
fof(f1934,plain,
( $false
| ~ spl0_107
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f1926,f1309]) ).
fof(f1935,plain,
( ~ spl0_107
| spl0_158 ),
inference(avatar_contradiction_clause,[],[f1934]) ).
fof(f1944,plain,
( e4 = op(e3,e1)
| ~ spl0_140 ),
inference(superposition,[],[f460,f1222]) ).
fof(f1956,plain,
( $false
| ~ spl0_140
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f1944,f1348]) ).
fof(f1957,plain,
( ~ spl0_140
| spl0_166 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1974,plain,
( e3 = op(op(e1,e3),e4)
| ~ spl0_166 ),
inference(superposition,[],[f330,f1347]) ).
fof(f1997,plain,
( e3 = op(e4,e4)
| ~ spl0_166
| ~ spl0_176 ),
inference(forward_demodulation,[],[f1974,f1398]) ).
fof(f2000,plain,
( $false
| ~ spl0_166
| ~ spl0_176
| spl0_182 ),
inference(forward_subsumption_resolution,[],[f1997,f1428]) ).
fof(f2001,plain,
( ~ spl0_166
| ~ spl0_176
| spl0_182 ),
inference(avatar_contradiction_clause,[],[f2000]) ).
fof(f2039,plain,
( e4 != op(e2,e0)
| ~ spl0_160 ),
inference(superposition,[],[f439,f1317]) ).
fof(f2076,plain,
( e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f252,f824]) ).
fof(f2077,plain,
( e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl0_51
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f2076,f1032]) ).
fof(f2078,plain,
( e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl0_51
| spl0_98
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f2077,f1167]) ).
fof(f2079,plain,
( e3 = op(e3,e4)
| spl0_43
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f2078,f1689]) ).
fof(f2080,plain,
( e4 = op(e3,op(e4,e3))
| spl0_43
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_176 ),
inference(superposition,[],[f323,f2079]) ).
fof(f2097,plain,
( e4 = op(e3,e1)
| spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| ~ spl0_176 ),
inference(superposition,[],[f1659,f2079]) ).
fof(f2102,plain,
( $false
| spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f2097,f1348]) ).
fof(f2103,plain,
( spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f2102]) ).
fof(f2107,plain,
( e4 = op(e3,e1)
| spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| ~ spl0_176 ),
inference(forward_demodulation,[],[f2080,f991]) ).
fof(f2108,plain,
( $false
| spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f2107,f1348]) ).
fof(f2109,plain,
( spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2112,plain,
( e4 = op(e1,op(e4,e3))
| ~ spl0_98 ),
inference(superposition,[],[f323,f1031]) ).
fof(f2121,plain,
( e3 = op(e1,e4)
| ~ spl0_98 ),
inference(superposition,[],[f462,f1031]) ).
fof(f2126,plain,
( e2 != op(e4,e1)
| spl0_56
| ~ spl0_98 ),
inference(superposition,[],[f846,f1031]) ).
fof(f2134,plain,
( $false
| spl0_56
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f2126,f1111]) ).
fof(f2135,plain,
( spl0_56
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f2134]) ).
fof(f2137,plain,
( $false
| ~ spl0_98
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f2121,f1279]) ).
fof(f2138,plain,
( ~ spl0_98
| spl0_152 ),
inference(avatar_contradiction_clause,[],[f2137]) ).
fof(f2140,plain,
( e4 = op(e1,e1)
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2112,f991]) ).
fof(f2141,plain,
( $false
| ~ spl0_89
| ~ spl0_98
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f2140,f1681]) ).
fof(f2142,plain,
( ~ spl0_89
| ~ spl0_98
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f2141]) ).
fof(f2143,plain,
( e4 = op(e3,e4)
| ~ spl0_43
| ~ spl0_176 ),
inference(forward_demodulation,[],[f788,f1398]) ).
fof(f2144,plain,
( e0 != op(e4,op(e3,e4))
| spl0_125
| ~ spl0_176 ),
inference(forward_demodulation,[],[f1154,f1398]) ).
fof(f2145,plain,
( ~ spl0_127
| spl0_125
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2144,f1397,f1152,f1161]) ).
fof(f2146,plain,
( $false
| ~ spl0_43
| ~ spl0_176
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2143,f1698]) ).
fof(f2147,plain,
( ~ spl0_43
| ~ spl0_176
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2149,plain,
( e0 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f252,f1032]) ).
fof(f2152,plain,
( e4 = op(e0,op(e4,e3))
| ~ spl0_51 ),
inference(superposition,[],[f323,f823]) ).
fof(f2153,plain,
( e3 = op(op(e4,e3),e0)
| ~ spl0_51 ),
inference(superposition,[],[f327,f823]) ).
fof(f2161,plain,
( e3 = op(e0,e4)
| ~ spl0_51 ),
inference(superposition,[],[f462,f823]) ).
fof(f2178,plain,
( $false
| ~ spl0_51
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f2161,f1297]) ).
fof(f2179,plain,
( ~ spl0_51
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2181,plain,
( e3 = op(e1,e0)
| ~ spl0_51
| ~ spl0_89 ),
inference(forward_demodulation,[],[f2153,f991]) ).
fof(f2182,plain,
( e4 = op(e0,e1)
| ~ spl0_51
| ~ spl0_89 ),
inference(forward_demodulation,[],[f2152,f991]) ).
fof(f2183,plain,
( $false
| ~ spl0_51
| ~ spl0_89
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f2181,f1205]) ).
fof(f2184,plain,
( ~ spl0_51
| ~ spl0_89
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2185,plain,
( $false
| ~ spl0_51
| ~ spl0_89
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f2182,f1357]) ).
fof(f2186,plain,
( ~ spl0_51
| ~ spl0_89
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2187,plain,
( e0 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| spl0_98
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2149,f1698]) ).
fof(f2188,plain,
( ~ spl0_128
| spl0_38
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f1686,f1397,f765,f1165]) ).
fof(f2191,plain,
( e3 = op(op(e4,e3),e2)
| ~ spl0_128 ),
inference(superposition,[],[f327,f1166]) ).
fof(f2199,plain,
( e3 = op(e2,e4)
| ~ spl0_128 ),
inference(superposition,[],[f462,f1166]) ).
fof(f2201,plain,
( e1 != op(e4,e2)
| spl0_50
| ~ spl0_128 ),
inference(superposition,[],[f820,f1166]) ).
fof(f2206,plain,
( e0 != op(e4,e2)
| spl0_127
| ~ spl0_128 ),
inference(superposition,[],[f1163,f1166]) ).
fof(f2213,plain,
( $false
| ~ spl0_21
| spl0_127
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f2206,f691]) ).
fof(f2214,plain,
( ~ spl0_21
| spl0_127
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2217,plain,
( $false
| ~ spl0_128
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f2199,f1288]) ).
fof(f2218,plain,
( ~ spl0_128
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2219,plain,
( e3 = op(e1,e2)
| ~ spl0_89
| ~ spl0_128 ),
inference(forward_demodulation,[],[f2191,f991]) ).
fof(f2221,plain,
( $false
| ~ spl0_89
| ~ spl0_128
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f2219,f1270]) ).
fof(f2222,plain,
( ~ spl0_89
| ~ spl0_128
| spl0_150 ),
inference(avatar_contradiction_clause,[],[f2221]) ).
fof(f2227,plain,
( e3 = op(e0,op(e3,e4))
| ~ spl0_36 ),
inference(superposition,[],[f327,f757]) ).
fof(f2228,plain,
( e0 != op(e4,e2)
| ~ spl0_36 ),
inference(superposition,[],[f349,f757]) ).
fof(f2245,plain,
( $false
| ~ spl0_21
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f2228,f691]) ).
fof(f2246,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2245]) ).
fof(f2247,plain,
( e3 = op(e0,e2)
| ~ spl0_36
| ~ spl0_128 ),
inference(forward_demodulation,[],[f2227,f1166]) ).
fof(f2249,plain,
( $false
| ~ spl0_36
| ~ spl0_128
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f2247,f1261]) ).
fof(f2250,plain,
( ~ spl0_36
| ~ spl0_128
| spl0_148 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2267,plain,
( e2 != op(e4,e1)
| ~ spl0_122 ),
inference(superposition,[],[f351,f1138]) ).
fof(f2268,plain,
( e2 != op(e4,e0)
| ~ spl0_122 ),
inference(superposition,[],[f354,f1138]) ).
fof(f2271,plain,
( e2 != op(e1,e3)
| ~ spl0_122 ),
inference(superposition,[],[f410,f1138]) ).
fof(f2272,plain,
( e2 != op(e0,e3)
| ~ spl0_122 ),
inference(superposition,[],[f413,f1138]) ).
fof(f2282,plain,
( $false
| ~ spl0_116
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2267,f1111]) ).
fof(f2283,plain,
( ~ spl0_116
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2287,plain,
( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1)
| spl0_6
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f1807,f1223]) ).
fof(f2288,plain,
( e1 = op(e4,e1)
| e2 = op(e4,e1)
| spl0_6
| spl0_140
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2287,f1696]) ).
fof(f2289,plain,
( ~ spl0_126
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2271,f1137,f1156]) ).
fof(f2292,plain,
( e2 = op(op(e4,e2),e3)
| ~ spl0_154 ),
inference(superposition,[],[f332,f1287]) ).
fof(f2314,plain,
( e2 = op(e0,e3)
| ~ spl0_21
| ~ spl0_154 ),
inference(forward_demodulation,[],[f2292,f691]) ).
fof(f2316,plain,
( $false
| ~ spl0_21
| spl0_124
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f2314,f1149]) ).
fof(f2317,plain,
( ~ spl0_21
| spl0_124
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2320,plain,
( ~ spl0_124
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2272,f1137,f1147]) ).
fof(f2322,plain,
( ~ spl0_80
| spl0_50
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2201,f1165,f818,f950]) ).
fof(f2328,plain,
( e2 = op(e1,op(e2,e4))
| ~ spl0_80 ),
inference(superposition,[],[f332,f951]) ).
fof(f2329,plain,
( e1 != op(e4,e1)
| ~ spl0_80 ),
inference(superposition,[],[f352,f951]) ).
fof(f2335,plain,
( e4 = op(e1,e2)
| ~ spl0_80 ),
inference(superposition,[],[f459,f951]) ).
fof(f2349,plain,
( $false
| ~ spl0_80
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f2335,f1369]) ).
fof(f2350,plain,
( ~ spl0_80
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2351,plain,
( e2 = op(e1,e3)
| ~ spl0_80
| ~ spl0_154 ),
inference(forward_demodulation,[],[f2328,f1287]) ).
fof(f2353,plain,
( $false
| ~ spl0_80
| spl0_126
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f2351,f1158]) ).
fof(f2354,plain,
( ~ spl0_80
| spl0_126
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
fof(f2358,plain,
( e2 = op(e4,op(e2,e1))
| ~ spl0_170 ),
inference(superposition,[],[f335,f1368]) ).
fof(f2361,plain,
( e4 != op(e1,e0)
| ~ spl0_170 ),
inference(superposition,[],[f385,f1368]) ).
fof(f2362,plain,
( e4 != op(e0,e2)
| ~ spl0_170 ),
inference(superposition,[],[f426,f1368]) ).
fof(f2377,plain,
( $false
| ~ spl0_170
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f2362,f1386]) ).
fof(f2378,plain,
( ~ spl0_170
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2380,plain,
( e2 = op(e4,e4)
| ~ spl0_164
| ~ spl0_170 ),
inference(forward_demodulation,[],[f2358,f1338]) ).
fof(f2383,plain,
( $false
| ~ spl0_164
| ~ spl0_170
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f2380,f1432]) ).
fof(f2384,plain,
( ~ spl0_164
| ~ spl0_170
| spl0_183 ),
inference(avatar_contradiction_clause,[],[f2383]) ).
fof(f2394,plain,
( e1 != op(e3,e4)
| spl0_32
| ~ spl0_178 ),
inference(superposition,[],[f741,f1407]) ).
fof(f2396,plain,
( e1 != op(e4,op(e3,e4))
| spl0_44
| ~ spl0_178 ),
inference(superposition,[],[f794,f1407]) ).
fof(f2401,plain,
( ~ spl0_50
| spl0_44
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2396,f1406,f792,f818]) ).
fof(f2403,plain,
( e0 != op(e3,e4)
| spl0_177
| ~ spl0_178 ),
inference(forward_demodulation,[],[f1404,f1407]) ).
fof(f2440,plain,
( e2 = op(e4,e1)
| spl0_6
| ~ spl0_80
| spl0_140
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2288,f2329]) ).
fof(f2441,plain,
( $false
| spl0_6
| ~ spl0_80
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2440,f1112]) ).
fof(f2442,plain,
( spl0_6
| ~ spl0_80
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f2441]) ).
fof(f2485,plain,
( e2 = op(e3,e4)
| e3 = op(e3,e4)
| spl0_51
| spl0_98
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2187,f824]) ).
fof(f2486,plain,
( e3 = op(e3,e4)
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2485,f1167]) ).
fof(f2487,plain,
( e4 = op(e3,op(e4,e3))
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_181 ),
inference(superposition,[],[f323,f2486]) ).
fof(f2521,plain,
( e4 = op(e3,e2)
| spl0_51
| spl0_98
| ~ spl0_122
| spl0_128
| ~ spl0_181 ),
inference(forward_demodulation,[],[f2487,f1138]) ).
fof(f2522,plain,
( $false
| spl0_51
| spl0_98
| ~ spl0_122
| spl0_128
| spl0_172
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2521,f1378]) ).
fof(f2523,plain,
( spl0_51
| spl0_98
| ~ spl0_122
| spl0_128
| spl0_172
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f2522]) ).
fof(f2527,plain,
( ~ spl0_98
| spl0_32
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2394,f1406,f739,f1030]) ).
fof(f2529,plain,
( e0 != op(e4,op(e3,e4))
| spl0_92
| ~ spl0_178 ),
inference(forward_demodulation,[],[f1006,f1407]) ).
fof(f2530,plain,
( $false
| spl0_92
| ~ spl0_127
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f2529,f1162]) ).
fof(f2531,plain,
( spl0_92
| ~ spl0_127
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f2530]) ).
fof(f2535,plain,
( e4 = op(e1,op(e4,e3))
| ~ spl0_98 ),
inference(superposition,[],[f323,f1031]) ).
fof(f2551,plain,
( e0 != op(e4,e1)
| ~ spl0_98
| spl0_127 ),
inference(superposition,[],[f1163,f1031]) ).
fof(f2559,plain,
( $false
| ~ spl0_6
| ~ spl0_98
| spl0_127 ),
inference(forward_subsumption_resolution,[],[f2551,f625]) ).
fof(f2560,plain,
( ~ spl0_6
| ~ spl0_98
| spl0_127 ),
inference(avatar_contradiction_clause,[],[f2559]) ).
fof(f2564,plain,
( e4 = op(e1,e2)
| ~ spl0_98
| ~ spl0_122 ),
inference(forward_demodulation,[],[f2535,f1138]) ).
fof(f2568,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f250,f1112]) ).
fof(f2569,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e4 = op(e4,e1)
| spl0_116
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f2568,f1223]) ).
fof(f2570,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2569,f1696]) ).
fof(f2571,plain,
( ~ spl0_158
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2039,f1316,f1307]) ).
fof(f2572,plain,
( ~ spl0_107
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2268,f1137,f1070]) ).
fof(f2581,plain,
( e4 = op(e1,e0)
| ~ spl0_66 ),
inference(superposition,[],[f461,f889]) ).
fof(f2590,plain,
( $false
| ~ spl0_66
| spl0_162 ),
inference(forward_subsumption_resolution,[],[f2581,f1327]) ).
fof(f2591,plain,
( ~ spl0_66
| spl0_162 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2592,plain,
( ~ spl0_162
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2361,f1367,f1325]) ).
fof(f2691,plain,
( e3 = op(op(e2,e3),e4)
| ~ spl0_172 ),
inference(superposition,[],[f329,f1377]) ).
fof(f2715,plain,
( e3 = op(e4,e4)
| ~ spl0_172
| ~ spl0_178 ),
inference(forward_demodulation,[],[f2691,f1407]) ).
fof(f2718,plain,
( $false
| ~ spl0_172
| ~ spl0_178
| spl0_182 ),
inference(forward_subsumption_resolution,[],[f2715,f1428]) ).
fof(f2719,plain,
( ~ spl0_172
| ~ spl0_178
| spl0_182 ),
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2722,plain,
( e0 != op(e4,e1)
| ~ spl0_21 ),
inference(superposition,[],[f352,f691]) ).
fof(f2757,plain,
( $false
| ~ spl0_98
| ~ spl0_122
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f2564,f1369]) ).
fof(f2758,plain,
( ~ spl0_98
| ~ spl0_122
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f2757]) ).
fof(f2759,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f252,f1167]) ).
fof(f2760,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| spl0_128
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2759,f1698]) ).
fof(f2761,plain,
( ~ spl0_51
| spl0_177
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2403,f1406,f1402,f822]) ).
fof(f2768,plain,
( e3 = op(op(e4,e3),e0)
| ~ spl0_51 ),
inference(superposition,[],[f327,f823]) ).
fof(f2778,plain,
( e1 != op(e4,e0)
| spl0_50
| ~ spl0_51 ),
inference(superposition,[],[f820,f823]) ).
fof(f2794,plain,
( $false
| spl0_50
| ~ spl0_51
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f2778,f889]) ).
fof(f2795,plain,
( spl0_50
| ~ spl0_51
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f2794]) ).
fof(f2797,plain,
( e3 = op(e2,e0)
| ~ spl0_51
| ~ spl0_122 ),
inference(forward_demodulation,[],[f2768,f1138]) ).
fof(f2799,plain,
( $false
| ~ spl0_51
| ~ spl0_122
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f2797,f1214]) ).
fof(f2800,plain,
( ~ spl0_51
| ~ spl0_122
| spl0_138 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2810,plain,
( e3 != op(e2,e0)
| ~ spl0_134 ),
inference(superposition,[],[f438,f1194]) ).
fof(f2824,plain,
( ~ spl0_138
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2810,f1193,f1212]) ).
fof(f2831,plain,
( ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2722,f690,f624]) ).
fof(f2902,plain,
( e1 = op(e3,e0)
| ~ spl0_136 ),
inference(superposition,[],[f476,f1204]) ).
fof(f2913,plain,
( $false
| spl0_63
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f2902,f877]) ).
fof(f2914,plain,
( spl0_63
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2913]) ).
fof(f2961,plain,
( e0 != op(e2,e3)
| spl0_145
| ~ spl0_146 ),
inference(superposition,[],[f1247,f1250]) ).
fof(f2966,plain,
( e0 = op(op(e4,e0),e3)
| ~ spl0_156 ),
inference(superposition,[],[f342,f1296]) ).
fof(f2970,plain,
( op(e0,e0) != e3
| ~ spl0_156 ),
inference(superposition,[],[f393,f1296]) ).
fof(f2982,plain,
( e0 = op(e2,e3)
| ~ spl0_107
| ~ spl0_156 ),
inference(forward_demodulation,[],[f2966,f1071]) ).
fof(f2987,plain,
( $false
| spl0_33
| ~ spl0_107
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2982,f745]) ).
fof(f2988,plain,
( spl0_33
| ~ spl0_107
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
fof(f3015,plain,
( $false
| ~ spl0_33
| spl0_145
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f2961,f744]) ).
fof(f3016,plain,
( ~ spl0_33
| spl0_145
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f3015]) ).
fof(f3017,plain,
( e1 != op(e3,op(e2,e3))
| spl0_25
| ~ spl0_146 ),
inference(forward_demodulation,[],[f710,f1250]) ).
fof(f3020,plain,
( e1 != op(e3,e0)
| spl0_25
| ~ spl0_33
| ~ spl0_146 ),
inference(forward_demodulation,[],[f3017,f744]) ).
fof(f3023,plain,
( $false
| spl0_25
| ~ spl0_33
| ~ spl0_63
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f3020,f876]) ).
fof(f3024,plain,
( spl0_25
| ~ spl0_33
| ~ spl0_63
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3030,plain,
( e3 = op(e0,op(e3,e4))
| ~ spl0_36 ),
inference(superposition,[],[f327,f757]) ).
fof(f3032,plain,
( e0 != op(e4,e1)
| ~ spl0_36 ),
inference(superposition,[],[f351,f757]) ).
fof(f3035,plain,
( e0 != op(e2,e3)
| ~ spl0_36 ),
inference(superposition,[],[f408,f757]) ).
fof(f3049,plain,
( $false
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3035,f744]) ).
fof(f3050,plain,
( ~ spl0_33
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3049]) ).
fof(f3051,plain,
( $false
| ~ spl0_6
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3032,f625]) ).
fof(f3052,plain,
( ~ spl0_6
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3051]) ).
fof(f3053,plain,
( op(e0,e0) = e3
| ~ spl0_36
| ~ spl0_51 ),
inference(forward_demodulation,[],[f3030,f823]) ).
fof(f3055,plain,
( $false
| ~ spl0_36
| ~ spl0_51
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f3053,f2970]) ).
fof(f3056,plain,
( ~ spl0_36
| ~ spl0_51
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f3055]) ).
fof(f3089,plain,
( e0 = op(e4,e1)
| ~ spl0_168 ),
inference(superposition,[],[f480,f1356]) ).
fof(f3097,plain,
( $false
| spl0_6
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f3089,f626]) ).
fof(f3098,plain,
( spl0_6
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3102,plain,
( e4 != op(e3,e0)
| ~ spl0_172 ),
inference(superposition,[],[f365,f1377]) ).
fof(f3140,plain,
( e2 != op(e3,e4)
| spl0_86
| ~ spl0_180 ),
inference(superposition,[],[f979,f1416]) ).
fof(f3142,plain,
( e2 != op(e4,op(e3,e4))
| spl0_90
| ~ spl0_180 ),
inference(superposition,[],[f997,f1416]) ).
fof(f3144,plain,
( e1 != op(e3,e4)
| spl0_179
| ~ spl0_180 ),
inference(superposition,[],[f1413,f1416]) ).
fof(f3146,plain,
( ~ spl0_56
| spl0_90
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3142,f1415,f995,f844]) ).
fof(f3211,plain,
( e1 = op(e4,e1)
| spl0_6
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2570,f626]) ).
fof(f3219,plain,
( e4 = op(e1,e1)
| spl0_6
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(superposition,[],[f460,f3211]) ).
fof(f3232,plain,
( e1 = op(e4,e4)
| spl0_6
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(superposition,[],[f340,f3219]) ).
fof(f3243,plain,
( $false
| spl0_6
| spl0_116
| spl0_140
| ~ spl0_181
| spl0_184 ),
inference(forward_subsumption_resolution,[],[f3232,f1436]) ).
fof(f3244,plain,
( spl0_6
| spl0_116
| spl0_140
| ~ spl0_181
| spl0_184 ),
inference(avatar_contradiction_clause,[],[f3243]) ).
fof(f3307,plain,
( e3 != op(e1,e4)
| spl0_8
| ~ spl0_164 ),
inference(superposition,[],[f635,f1338]) ).
fof(f3314,plain,
( ~ spl0_152
| spl0_8
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3307,f1337,f633,f1277]) ).
fof(f3315,plain,
( e3 = op(e1,e4)
| ~ spl0_8
| ~ spl0_164 ),
inference(forward_demodulation,[],[f634,f1338]) ).
fof(f3318,plain,
( spl0_152
| ~ spl0_8
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3315,f1337,f633,f1277]) ).
fof(f3320,plain,
( e1 = op(op(e4,e1),e3)
| ~ spl0_152 ),
inference(superposition,[],[f337,f1278]) ).
fof(f3345,plain,
( e1 = op(e2,e3)
| ~ spl0_116
| ~ spl0_152 ),
inference(forward_demodulation,[],[f3320,f1111]) ).
fof(f3347,plain,
( $false
| spl0_93
| ~ spl0_116
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f3345,f1010]) ).
fof(f3348,plain,
( spl0_93
| ~ spl0_116
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
fof(f3357,plain,
( e1 = op(e3,e4)
| e3 = op(e3,e4)
| spl0_51
| spl0_128
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f2760,f824]) ).
fof(f3358,plain,
( e3 = op(e3,e4)
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f3357,f1032]) ).
fof(f3359,plain,
( e4 = op(e3,op(e4,e3))
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_181 ),
inference(superposition,[],[f323,f3358]) ).
fof(f3388,plain,
( e4 = op(e3,e0)
| ~ spl0_36
| spl0_51
| spl0_98
| spl0_128
| ~ spl0_181 ),
inference(forward_demodulation,[],[f3359,f757]) ).
fof(f3389,plain,
( $false
| ~ spl0_36
| spl0_51
| spl0_98
| spl0_128
| spl0_160
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f3388,f1318]) ).
fof(f3390,plain,
( ~ spl0_36
| spl0_51
| spl0_98
| spl0_128
| spl0_160
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f3389]) ).
fof(f3392,plain,
( ~ spl0_160
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3102,f1376,f1316]) ).
fof(f3412,plain,
( ~ spl0_128
| spl0_86
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3140,f1415,f977,f1165]) ).
fof(f3414,plain,
( e1 != op(e4,op(e3,e4))
| spl0_123
| ~ spl0_180 ),
inference(forward_demodulation,[],[f1145,f1416]) ).
fof(f3417,plain,
( ~ spl0_50
| spl0_123
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3414,f1415,f1143,f818]) ).
fof(f3505,plain,
( e3 != op(e4,e0)
| ~ spl0_140 ),
inference(superposition,[],[f356,f1222]) ).
fof(f3521,plain,
( $false
| ~ spl0_134
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f3505,f1194]) ).
fof(f3522,plain,
( ~ spl0_134
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f3521]) ).
fof(f3530,plain,
( ~ spl0_98
| spl0_179
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3144,f1415,f1411,f1030]) ).
fof(f3615,plain,
( e4 = op(e1,op(e4,e3))
| ~ spl0_98 ),
inference(superposition,[],[f323,f1031]) ).
fof(f3641,plain,
( e4 = op(e1,e0)
| ~ spl0_36
| ~ spl0_98 ),
inference(forward_demodulation,[],[f3615,f757]) ).
fof(f3644,plain,
( $false
| ~ spl0_36
| ~ spl0_98
| spl0_162 ),
inference(forward_subsumption_resolution,[],[f3641,f1327]) ).
fof(f3645,plain,
( ~ spl0_36
| ~ spl0_98
| spl0_162 ),
inference(avatar_contradiction_clause,[],[f3644]) ).
cnf(s737,plain,
( ~ spl0_25
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s854,plain,
( ~ spl0_44
| ~ spl0_177
| ~ spl0_178 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s858,plain,
( ~ spl0_90
| ~ spl0_179
| ~ spl0_180 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s862,plain,
( ~ spl0_32
| ~ spl0_92
| ~ spl0_178 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s866,plain,
( ~ spl0_86
| ~ spl0_123
| ~ spl0_180 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s870,plain,
( ~ spl0_38
| ~ spl0_125
| ~ spl0_176 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s917,plain,
( spl0_181
| spl0_182
| spl0_183
| spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s938,plain,
( spl0_36
| spl0_89
| spl0_122
| ~ spl0_181
| spl0_186 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s1018,plain,
( spl0_182
| ~ spl0_186 ),
inference(sat_conversion,[],[f1500]) ).
cnf(s1027,plain,
( ~ spl0_182
| ~ spl0_186 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s1049,plain,
( ~ spl0_182
| spl0_186 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s1071,plain,
~ spl0_183,
inference(sat_conversion,[],[f1555]) ).
cnf(s1099,plain,
~ spl0_184,
inference(sat_conversion,[],[f1576]) ).
cnf(s1111,plain,
~ spl0_185,
inference(sat_conversion,[],[f1594]) ).
cnf(s1120,plain,
( ~ spl0_36
| spl0_180 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s1134,plain,
( ~ spl0_89
| spl0_176 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s1149,plain,
( ~ spl0_122
| spl0_178 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s1177,plain,
( ~ spl0_89
| ~ spl0_93 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s1259,plain,
( spl0_21
| spl0_80
| spl0_146
| ~ spl0_181
| spl0_183 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s1283,plain,
( ~ spl0_21
| spl0_174 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s1290,plain,
( ~ spl0_80
| ~ spl0_89 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s1298,plain,
( ~ spl0_146
| spl0_172 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s1310,plain,
( ~ spl0_146
| ~ spl0_150 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s1314,plain,
( ~ spl0_146
| ~ spl0_148 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s1328,plain,
( ~ spl0_172
| ~ spl0_174 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s1356,plain,
( ~ spl0_116
| spl0_164 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s1363,plain,
( ~ spl0_140
| ~ spl0_146 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s1422,plain,
( spl0_66
| spl0_107
| spl0_134
| ~ spl0_181
| spl0_185 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s1427,plain,
( ~ spl0_66
| ~ spl0_89 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s1434,plain,
( ~ spl0_107
| ~ spl0_116 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s1441,plain,
( ~ spl0_134
| ~ spl0_146 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s1467,plain,
( ~ spl0_107
| spl0_158 ),
inference(sat_conversion,[],[f1935]) ).
cnf(s1486,plain,
( ~ spl0_140
| spl0_166 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s1521,plain,
( ~ spl0_166
| ~ spl0_176
| spl0_182 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s1606,plain,
( spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s1612,plain,
( spl0_43
| spl0_51
| ~ spl0_89
| spl0_98
| spl0_128
| spl0_166
| ~ spl0_176 ),
inference(sat_conversion,[],[f2109]) ).
cnf(s1618,plain,
( spl0_56
| ~ spl0_98
| ~ spl0_116 ),
inference(sat_conversion,[],[f2135]) ).
cnf(s1619,plain,
( ~ spl0_98
| spl0_152 ),
inference(sat_conversion,[],[f2138]) ).
cnf(s1624,plain,
( ~ spl0_89
| ~ spl0_98
| ~ spl0_176 ),
inference(sat_conversion,[],[f2142]) ).
cnf(s1633,plain,
( spl0_125
| ~ spl0_127
| ~ spl0_176 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s1636,plain,
( ~ spl0_43
| ~ spl0_176
| ~ spl0_181 ),
inference(sat_conversion,[],[f2147]) ).
cnf(s1642,plain,
( ~ spl0_51
| spl0_156 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s1645,plain,
( ~ spl0_51
| ~ spl0_89
| spl0_136 ),
inference(sat_conversion,[],[f2184]) ).
cnf(s1646,plain,
( ~ spl0_51
| ~ spl0_89
| spl0_168 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s1653,plain,
( spl0_38
| ~ spl0_128
| ~ spl0_176 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s1657,plain,
( ~ spl0_21
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f2214]) ).
cnf(s1658,plain,
( ~ spl0_128
| spl0_154 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s1664,plain,
( ~ spl0_89
| ~ spl0_128
| spl0_150 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s1687,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(sat_conversion,[],[f2246]) ).
cnf(s1688,plain,
( ~ spl0_36
| ~ spl0_128
| spl0_148 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s1722,plain,
( ~ spl0_116
| ~ spl0_122 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s1734,plain,
( ~ spl0_122
| ~ spl0_126 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s1748,plain,
( ~ spl0_21
| spl0_124
| ~ spl0_154 ),
inference(sat_conversion,[],[f2317]) ).
cnf(s1756,plain,
( ~ spl0_122
| ~ spl0_124 ),
inference(sat_conversion,[],[f2320]) ).
cnf(s1774,plain,
( spl0_50
| ~ spl0_80
| ~ spl0_128 ),
inference(sat_conversion,[],[f2322]) ).
cnf(s1791,plain,
( ~ spl0_80
| spl0_170 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s1796,plain,
( ~ spl0_80
| spl0_126
| ~ spl0_154 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s1823,plain,
( ~ spl0_170
| ~ spl0_174 ),
inference(sat_conversion,[],[f2378]) ).
cnf(s1825,plain,
( ~ spl0_164
| ~ spl0_170
| spl0_183 ),
inference(sat_conversion,[],[f2384]) ).
cnf(s1858,plain,
( spl0_44
| ~ spl0_50
| ~ spl0_178 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s1905,plain,
( spl0_6
| ~ spl0_80
| spl0_116
| spl0_140
| ~ spl0_181 ),
inference(sat_conversion,[],[f2442]) ).
cnf(s1946,plain,
( spl0_51
| spl0_98
| ~ spl0_122
| spl0_128
| spl0_172
| ~ spl0_181 ),
inference(sat_conversion,[],[f2523]) ).
cnf(s1953,plain,
( spl0_32
| ~ spl0_98
| ~ spl0_178 ),
inference(sat_conversion,[],[f2527]) ).
cnf(s1955,plain,
( spl0_92
| ~ spl0_127
| ~ spl0_178 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s1967,plain,
( ~ spl0_6
| ~ spl0_98
| spl0_127 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s2005,plain,
( ~ spl0_158
| ~ spl0_160 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s2011,plain,
( ~ spl0_107
| ~ spl0_122 ),
inference(sat_conversion,[],[f2572]) ).
cnf(s2017,plain,
( ~ spl0_66
| spl0_162 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s2027,plain,
( ~ spl0_162
| ~ spl0_170 ),
inference(sat_conversion,[],[f2592]) ).
cnf(s2114,plain,
( ~ spl0_172
| ~ spl0_178
| spl0_182 ),
inference(sat_conversion,[],[f2719]) ).
cnf(s2140,plain,
( ~ spl0_98
| ~ spl0_122
| spl0_170 ),
inference(sat_conversion,[],[f2758]) ).
cnf(s2152,plain,
( ~ spl0_51
| spl0_177
| ~ spl0_178 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s2166,plain,
( spl0_50
| ~ spl0_51
| ~ spl0_66 ),
inference(sat_conversion,[],[f2795]) ).
cnf(s2173,plain,
( ~ spl0_51
| ~ spl0_122
| spl0_138 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s2223,plain,
( ~ spl0_134
| ~ spl0_138 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s2259,plain,
( ~ spl0_6
| ~ spl0_21 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s2336,plain,
( spl0_63
| ~ spl0_136 ),
inference(sat_conversion,[],[f2914]) ).
cnf(s2378,plain,
( spl0_33
| ~ spl0_107
| ~ spl0_156 ),
inference(sat_conversion,[],[f2988]) ).
cnf(s2420,plain,
( ~ spl0_33
| spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f3016]) ).
cnf(s2422,plain,
( spl0_25
| ~ spl0_33
| ~ spl0_63
| ~ spl0_146 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s2453,plain,
( ~ spl0_33
| ~ spl0_36 ),
inference(sat_conversion,[],[f3050]) ).
cnf(s2454,plain,
( ~ spl0_6
| ~ spl0_36 ),
inference(sat_conversion,[],[f3052]) ).
cnf(s2455,plain,
( ~ spl0_36
| ~ spl0_51
| ~ spl0_156 ),
inference(sat_conversion,[],[f3056]) ).
cnf(s2504,plain,
( spl0_6
| ~ spl0_168 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s2532,plain,
( ~ spl0_56
| spl0_90
| ~ spl0_180 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s2619,plain,
( spl0_6
| spl0_116
| spl0_140
| ~ spl0_181
| spl0_184 ),
inference(sat_conversion,[],[f3244]) ).
cnf(s2673,plain,
( spl0_8
| ~ spl0_152
| ~ spl0_164 ),
inference(sat_conversion,[],[f3314]) ).
cnf(s2676,plain,
( ~ spl0_8
| spl0_152
| ~ spl0_164 ),
inference(sat_conversion,[],[f3318]) ).
cnf(s2685,plain,
( spl0_93
| ~ spl0_116
| ~ spl0_152 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s2710,plain,
( ~ spl0_36
| spl0_51
| spl0_98
| spl0_128
| spl0_160
| ~ spl0_181 ),
inference(sat_conversion,[],[f3390]) ).
cnf(s2716,plain,
( ~ spl0_160
| ~ spl0_172 ),
inference(sat_conversion,[],[f3392]) ).
cnf(s2767,plain,
( spl0_86
| ~ spl0_128
| ~ spl0_180 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s2777,plain,
( ~ spl0_50
| spl0_123
| ~ spl0_180 ),
inference(sat_conversion,[],[f3417]) ).
cnf(s2858,plain,
( ~ spl0_134
| ~ spl0_140 ),
inference(sat_conversion,[],[f3522]) ).
cnf(s2902,plain,
( ~ spl0_98
| spl0_179
| ~ spl0_180 ),
inference(sat_conversion,[],[f3530]) ).
cnf(s3014,plain,
( ~ spl0_36
| ~ spl0_98
| spl0_162 ),
inference(sat_conversion,[],[f3645]) ).
cnf(s3015,plain,
( spl0_181
| spl0_182 ),
inference(rat,[],[s917,s1111,s1099,s1071]) ).
cnf(s3016,plain,
~ spl0_182,
inference(rat,[],[s1027,s1049]) ).
cnf(s3017,plain,
~ spl0_186,
inference(rat,[],[s1018,s3016]) ).
cnf(s3018,plain,
spl0_181,
inference(rat,[],[s3015,s3016]) ).
cnf(s3019,plain,
( ~ spl0_146
| spl0_66
| spl0_6 ),
inference(rat,[],[s1434,s1422,s2619,s1441,s1363,s3018,s1111,s1099]) ).
cnf(s3021,plain,
( ~ spl0_146
| spl0_36
| spl0_6 ),
inference(rat,[],[s938,s1722,s1427,s2619,s3019,s1363,s3017,s3018,s1099]) ).
cnf(s3022,plain,
( spl0_36
| spl0_21
| spl0_6 ),
inference(rat,[],[s2858,s1422,s1905,s2011,s1356,s2017,s938,s1825,s2027,s1290,s1791,s1259,s3021,s3018,s1111,s3017,s1071]) ).
cnf(s3023,plain,
( spl0_66
| spl0_33
| spl0_21
| spl0_6 ),
inference(rat,[],[s2777,s866,s1774,s2767,s2710,s1642,s2005,s2378,s1467,s1422,s2858,s1905,s1356,s3014,s1825,s2027,s1791,s1259,s3019,s1120,s3022,s3018,s1111,s1071]) ).
cnf(s3024,plain,
( ~ spl0_51
| ~ spl0_36 ),
inference(rat,[],[s1642,s2455]) ).
cnf(s3025,plain,
( spl0_21
| spl0_8
| spl0_6 ),
inference(rat,[],[s1619,s2673,s2710,s1356,s2716,s1688,s2619,s1298,s1314,s1363,s1259,s1791,s2027,s2017,s3023,s2453,s3024,s3022,s3018,s1099,s1071]) ).
cnf(s3026,plain,
( ~ spl0_140
| spl0_66
| spl0_36 ),
inference(rat,[],[s938,s1134,s2011,s1521,s1422,s1486,s2858,s3017,s3018,s3016,s1111]) ).
cnf(s3028,plain,
( ~ spl0_66
| ~ spl0_21 ),
inference(rat,[],[s854,s1858,s2152,s2166,s1946,s1658,s1748,s1149,s1756,s2140,s938,s1427,s1687,s1823,s1328,s1283,s3018,s3017]) ).
cnf(s3029,plain,
( spl0_8
| spl0_6 ),
inference(rat,[],[s1633,s870,s1657,s1653,s1612,s1521,s1636,s1619,s1646,s1134,s2673,s938,s1356,s1722,s2619,s3026,s3028,s1687,s3025,s2504,s3016,s3018,s3017,s1099]) ).
cnf(s3030,plain,
( spl0_36
| spl0_6 ),
inference(rat,[],[s2685,s1177,s2676,s938,s1356,s1722,s2619,s3026,s3028,s3022,s3029,s3017,s3018,s1099]) ).
cnf(s3031,plain,
spl0_6,
inference(rat,[],[s2532,s858,s1618,s2902,s2710,s2716,s1688,s2619,s1298,s1314,s1363,s1259,s1791,s2027,s2017,s3023,s3024,s1120,s1687,s2453,s3030,s3018,s1099,s1071]) ).
cnf(s3032,plain,
~ spl0_36,
inference(rat,[],[s2454,s3031]) ).
cnf(s3033,plain,
~ spl0_21,
inference(rat,[],[s2259,s3031]) ).
cnf(s3037,plain,
( ~ spl0_122
| spl0_66 ),
inference(rat,[],[s862,s1955,s1953,s1967,s1946,s1658,s1796,s1259,s2173,s1441,s2223,s2114,s1422,s1149,s1734,s2011,s3031,s3018,s3033,s1071,s3016,s1111]) ).
cnf(s3038,plain,
( ~ spl0_33
| ~ spl0_146
| ~ spl0_63 ),
inference(rat,[],[s737,s2420,s2422]) ).
cnf(s3039,plain,
spl0_66,
inference(rat,[],[s3038,s2378,s2336,s1642,s1645,s1606,s1664,s1422,s1310,s1441,s1624,s1521,s1636,s1259,s1134,s1290,s938,s3037,s3018,s1111,s3016,s3033,s1071,s3017,s3032]) ).
cnf(s3040,plain,
spl0_162,
inference(rat,[],[s2017,s3039]) ).
cnf(s3041,plain,
~ spl0_89,
inference(rat,[],[s1427,s3039]) ).
cnf(s3042,plain,
~ spl0_170,
inference(rat,[],[s2027,s3040]) ).
cnf(s3044,plain,
spl0_122,
inference(rat,[],[s938,s3032,s3018,s3017,s3041]) ).
cnf(s3045,plain,
~ spl0_80,
inference(rat,[],[s1791,s3042]) ).
cnf(s3050,plain,
spl0_178,
inference(rat,[],[s1149,s3044]) ).
cnf(s3051,plain,
spl0_146,
inference(rat,[],[s1259,s1071,s3033,s3018,s3045]) ).
cnf(s3054,plain,
~ spl0_172,
inference(rat,[],[s2114,s3016,s3050]) ).
cnf(s3061,plain,
$false,
inference(rat,[],[s1298,s3054,s3051]) ).
fof(f3646,plain,
$false,
inference(avatar_sat_refutation,[],[s3061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:41:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.39 % (1079518)Will run a generic schedule for satisfiability detection.
% 0.79/0.39 % (1079544)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3395087269:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.79/0.39 % (1079539)% WARNING: option uhcvi not known.
% 0.79/0.39 % (1079542)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4234087053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.79/0.39 % (1079538)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2473115029_2999 on theBenchmark for (2999ds/0Mi)
% 0.79/0.39 % (1079543)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2986944921:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.39 % (1079539)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3551247002:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.79/0.39 % (1079540)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1849535548:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.79/0.39 % (1079541)dis+10_1_sil=32000:sp=arity:random_seed=751852554:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.79/0.39 % Detected minimum model sizes of [5]
% 0.79/0.39 % Detected maximum model sizes of [max]
% 0.79/0.39 % TRYING [5]
% 0.79/0.39 % (1079544)Instruction limit reached!
% 0.79/0.39 % (1079544)------------------------------
% 0.79/0.39 % (1079544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1079544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1079544)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1079544)Termination reason: Instruction limit
% 0.79/0.39 % (1079544)Termination phase: Saturation
% 0.79/0.39 % (1079544)Time elapsed: 0.049 s
% 0.79/0.39 % (1079544)Peak memory usage: 15 MB
% 0.79/0.39 % (1079544)Instructions burned: 159 (million)
% 0.79/0.39 % (1079541)Instruction limit reached!
% 0.79/0.39 % (1079541)------------------------------
% 0.79/0.39 % (1079541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1079541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1079541)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1079541)Termination reason: Instruction limit
% 0.79/0.39 % (1079541)Termination phase: Saturation
% 0.79/0.39 % (1079541)Time elapsed: 0.052 s
% 0.79/0.39 % (1079541)Peak memory usage: 12 MB
% 0.79/0.39 % (1079541)Instructions burned: 105 (million)
% 0.79/0.39 % (1079542)Instruction limit reached!
% 0.79/0.39 % (1079542)------------------------------
% 0.79/0.39 % (1079542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1079542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1079542)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1079542)Termination reason: Instruction limit
% 0.79/0.39 % (1079542)Termination phase: Saturation
% 0.79/0.39 % (1079542)Time elapsed: 0.057 s
% 0.79/0.39 % (1079542)Peak memory usage: 13 MB
% 0.79/0.39 % (1079542)Instructions burned: 117 (million)
% 0.79/0.39 % TRYING [6]
% 0.79/0.39 % (1079579)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=497928893:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.79/0.39 % (1079543)Instruction limit reached!
% 0.79/0.39 % (1079543)------------------------------
% 0.79/0.39 % (1079543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1079543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1079543)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1079543)Termination reason: Instruction limit
% 0.79/0.39 % (1079543)Termination phase: Saturation
% 0.79/0.39 % (1079543)Time elapsed: 0.063 s
% 0.79/0.39 % (1079543)Peak memory usage: 13 MB
% 0.79/0.39 % (1079543)Instructions burned: 131 (million)
% 0.79/0.39 % (1079580)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=180007133:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.79/0.39 % (1079581)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1724776694:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.79/0.39 % (1079583)ott-21_1_sil=16000:fs=off:random_seed=462846004:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.79/0.39 % Detected minimum model sizes of [5]
% 0.79/0.39 % Detected maximum model sizes of [max]
% 0.79/0.39 % TRYING [5]
% 0.79/0.39 % (1079540) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1079518-1079540"...
% 0.79/0.39 % (1079580)Instruction limit reached!
% 0.79/0.39 % (1079580)------------------------------
% 0.79/0.39 % (1079580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.39 % (1079580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.39 % (1079580)CaDiCaL version: 2.1.3
% 0.79/0.39 % (1079580)Termination reason: Instruction limit
% 0.79/0.39 % (1079580)Termination phase: Saturation
% 0.79/0.39 % (1079580)Time elapsed: 0.035 s
% 0.79/0.39 % (1079580)Peak memory usage: 13 MB
% 0.79/0.39 % (1079580)Instructions burned: 131 (million)
% 0.79/0.39 % (1079540)...printing done.
% 0.79/0.39 % TRYING [7]
% 0.79/0.39 % (1079540)Refutation found. Thanks to Tanya!
% 0.79/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.79/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.40 % (1079540)------------------------------
% 0.79/0.40 % (1079540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.79/0.40 % (1079540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.40 % (1079540)CaDiCaL version: 2.1.3
% 0.79/0.40 % (1079540)Termination reason: Refutation
% 0.79/0.40 % (1079540)Time elapsed: 0.100 s
% 0.79/0.40 % (1079540)Peak memory usage: 14 MB
% 0.79/0.40 % (1079540)Instructions burned: 189 (million)
% 0.79/0.40 % (1079518)Success in time 0.149 s
% 0.79/0.40 % Vampire exiting
%------------------------------------------------------------------------------