%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG136+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 : n020.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 09:24:25 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.27s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 101
% Syntax : Number of formulae : 873 ( 55 unt; 82 def)
% Number of atoms : 2724 ( 996 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 3300 (1449 ~;1580 |; 189 &)
% ( 82 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 84 ( 82 usr; 83 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( op(e0,e0) != e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e0
| op(e1,e1) != e0 )
& ( op(e0,e0) != e0
| op(e2,e2) != e0 )
& ( op(e0,e0) != e0
| op(e3,e3) != e0 )
& ( op(e0,e1) != e0
| op(e0,e0) != e1 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1 )
& ( op(e0,e1) != e0
| op(e2,e2) != e1 )
& ( op(e0,e1) != e0
| op(e3,e3) != e1 )
& ( op(e0,e2) != e0
| op(e0,e0) != e2 )
& ( op(e0,e2) != e0
| op(e1,e1) != e2 )
& ( op(e0,e2) != e0
| op(e2,e2) != e2 )
& ( op(e0,e2) != e0
| op(e3,e3) != e2 )
& ( op(e0,e3) != e0
| op(e0,e0) != e3 )
& ( op(e0,e3) != e0
| op(e1,e1) != e3 )
& ( op(e0,e3) != e0
| op(e2,e2) != e3 )
& ( op(e0,e3) != e0
| op(e3,e3) != e3 )
& ( op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e1,e0) != e1
| op(e1,e1) != e0 )
& ( op(e1,e0) != e1
| op(e2,e2) != e0 )
& ( op(e1,e0) != e1
| op(e3,e3) != e0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e1
| op(e2,e2) != e1 )
& ( op(e1,e1) != e1
| op(e3,e3) != e1 )
& ( op(e1,e2) != e1
| op(e0,e0) != e2 )
& ( op(e1,e2) != e1
| op(e1,e1) != e2 )
& ( op(e1,e2) != e1
| op(e2,e2) != e2 )
& ( op(e1,e2) != e1
| op(e3,e3) != e2 )
& ( op(e1,e3) != e1
| op(e0,e0) != e3 )
& ( op(e1,e3) != e1
| op(e1,e1) != e3 )
& ( op(e1,e3) != e1
| op(e2,e2) != e3 )
& ( op(e1,e3) != e1
| op(e3,e3) != e3 )
& ( op(e2,e0) != e2
| op(e0,e0) != e0 )
& ( op(e2,e0) != e2
| op(e1,e1) != e0 )
& ( op(e2,e0) != e2
| op(e2,e2) != e0 )
& ( op(e2,e0) != e2
| op(e3,e3) != e0 )
& ( op(e2,e1) != e2
| op(e0,e0) != e1 )
& ( op(e2,e1) != e2
| op(e1,e1) != e1 )
& ( op(e2,e1) != e2
| op(e2,e2) != e1 )
& ( op(e2,e1) != e2
| op(e3,e3) != e1 )
& ( op(e2,e2) != e2
| op(e0,e0) != e2 )
& ( op(e2,e2) != e2
| op(e1,e1) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e2
| op(e3,e3) != e2 )
& ( op(e2,e3) != e2
| op(e0,e0) != e3 )
& ( op(e2,e3) != e2
| op(e1,e1) != e3 )
& ( op(e2,e3) != e2
| op(e2,e2) != e3 )
& ( op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e3,e0) != e3
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e1,e1) != e0 )
& ( op(e3,e0) != e3
| op(e2,e2) != e0 )
& ( op(e3,e0) != e3
| op(e3,e3) != e0 )
& ( op(e3,e1) != e3
| op(e0,e0) != e1 )
& ( op(e3,e1) != e3
| op(e1,e1) != e1 )
& ( op(e3,e1) != e3
| op(e2,e2) != e1 )
& ( op(e3,e1) != e3
| op(e3,e3) != e1 )
& ( op(e3,e2) != e3
| op(e0,e0) != e2 )
& ( op(e3,e2) != e3
| op(e1,e1) != e2 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2 )
& ( op(e3,e2) != e3
| op(e3,e3) != e2 )
& ( op(e3,e3) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e3
| op(e1,e1) != e3 )
& ( op(e3,e3) != e3
| op(e2,e2) != e3 )
& ( op(e3,e3) != e3
| op(e3,e3) != e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f9,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f19,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f25,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f27,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f29,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f30,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f33,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f39,plain,
( e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
( e1 != op(e0,op(e0,e0))
| op(e0,e0) != e3
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
( e2 != op(e0,op(e0,e0))
| op(e0,e0) != e1
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f49,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f51,plain,
( e3 != op(e0,op(e0,e0))
| op(e0,e0) != e1
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f53,plain,
( e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f56,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f57,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( op(e0,e0) != e1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( e1 != op(e2,e2)
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( e1 != op(e3,e3)
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( op(e0,e0) != e2
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
( e2 != op(e1,e1)
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( e2 != op(e3,e3)
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( op(e0,e0) != e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
( e3 != op(e1,e1)
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( e3 != op(e2,e2)
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
( e0 != op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
( e0 != op(e2,e2)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( e0 != op(e3,e3)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( op(e0,e0) != e2
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
( e2 != op(e1,e1)
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( e2 != op(e3,e3)
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( op(e0,e0) != e3
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
( e3 != op(e1,e1)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( e3 != op(e2,e2)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
( e0 != op(e1,e1)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( e0 != op(e3,e3)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( op(e0,e0) != e1
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
( e1 != op(e3,e3)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
( op(e0,e0) != e3
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
( e3 != op(e1,e1)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
( e0 != op(e1,e1)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
( e0 != op(e2,e2)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
( op(e0,e0) != e1
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
( e1 != op(e2,e2)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
( op(e0,e0) != e2
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f213,plain,
( e2 != op(e1,e1)
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f221,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f223,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f224,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f225,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f226,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f229,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f230,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f231,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f233,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f235,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f239,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f241,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e1
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f243,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f245,definition,
( spl0_1
<=> e3 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( e3 = op(e0,op(e0,e0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( e3 != op(e0,op(e0,e0))
| spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl0_2
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f250,plain,
( op(e0,e0) = e2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl0_3
<=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f255,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f243,f253,f249,f245]) ).
fof(f258,definition,
( spl0_4
<=> e3 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f259,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( e3 != op(e1,op(e1,e1))
| spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl0_5
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f263,plain,
( e2 = op(e1,e1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f271,definition,
( spl0_7
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f272,plain,
( op(e0,e0) = e1
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f275,definition,
( spl0_8
<=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f277,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_8 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f241,f275,f271,f245]) ).
fof(f284,definition,
( spl0_10
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f285,plain,
( e1 = op(e2,e2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl0_11
<=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f290,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_11 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f293,definition,
( spl0_12
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f294,plain,
( e0 = op(e1,e1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_13
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f299,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_13 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f239,f297,f293,f258]) ).
fof(f302,definition,
( spl0_14
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f306,definition,
( spl0_15
<=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f308,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_15 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f311,definition,
( spl0_16
<=> e2 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f313,plain,
( e2 != op(e0,op(e0,e0))
| spl0_16 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f315,definition,
( spl0_17
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f316,plain,
( op(e0,e0) = e3
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f320,definition,
( spl0_18
<=> e2 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f322,plain,
( e2 != op(e1,op(e1,e1))
| spl0_18 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl0_19
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f325,plain,
( e3 = op(e1,e1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f329,definition,
( spl0_20
<=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f331,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_20 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f332,plain,
( ~ spl0_16
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f235,f329,f271,f311]) ).
fof(f338,definition,
( spl0_22
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f339,plain,
( e1 = op(e3,e3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f347,definition,
( spl0_24
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f349,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_24 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f350,plain,
( ~ spl0_18
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f233,f347,f293,f320]) ).
fof(f352,definition,
( spl0_25
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f353,plain,
( e0 = op(e3,e3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f361,definition,
( spl0_27
<=> e1 = op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f363,plain,
( e1 != op(e0,op(e0,e0))
| spl0_27 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( ~ spl0_27
| ~ spl0_17
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f231,f275,f315,f361]) ).
fof(f366,definition,
( spl0_28
<=> e1 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f368,plain,
( e1 != op(e2,op(e2,e2))
| spl0_28 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl0_29
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f371,plain,
( e3 = op(e2,e2)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f230,f288,f370,f366]) ).
fof(f374,plain,
( ~ spl0_27
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f229,f329,f249,f361]) ).
fof(f376,definition,
( spl0_30
<=> e1 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f378,plain,
( e1 != op(e3,op(e3,e3))
| spl0_30 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,definition,
( spl0_31
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f381,plain,
( e2 = op(e3,e3)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f385,definition,
( spl0_32
<=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f387,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_32 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f390,definition,
( spl0_33
<=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f392,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_33 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,plain,
( ~ spl0_30
| ~ spl0_25
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f226,f390,f352,f376]) ).
fof(f395,definition,
( spl0_34
<=> e0 = op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f397,plain,
( e0 != op(e1,op(e1,e1))
| spl0_34 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,plain,
( ~ spl0_34
| ~ spl0_19
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f225,f297,f324,f395]) ).
fof(f400,definition,
( spl0_35
<=> e0 = op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f402,plain,
( e0 != op(e2,op(e2,e2))
| spl0_35 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( ~ spl0_35
| ~ spl0_29
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f224,f306,f370,f400]) ).
fof(f404,plain,
( ~ spl0_34
| ~ spl0_5
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f223,f347,f262,f395]) ).
fof(f406,definition,
( spl0_36
<=> e0 = op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f408,plain,
( e0 != op(e3,op(e3,e3))
| spl0_36 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f410,plain,
( ~ spl0_35
| ~ spl0_10
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f221,f385,f284,f400]) ).
fof(f411,plain,
( ~ spl0_36
| ~ spl0_22
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f220,f390,f338,f406]) ).
fof(f413,definition,
( spl0_37
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f414,plain,
( e0 = op(e0,e1)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
( ~ spl0_37
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f160,f271,f413]) ).
fof(f418,definition,
( spl0_38
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f422,plain,
( ~ spl0_37
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f162,f284,f413]) ).
fof(f423,plain,
( ~ spl0_37
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f163,f338,f413]) ).
fof(f425,definition,
( spl0_39
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f426,plain,
( e0 = op(e0,e2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( ~ spl0_39
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f164,f249,f425]) ).
fof(f429,plain,
( ~ spl0_39
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f165,f262,f425]) ).
fof(f431,definition,
( spl0_40
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f435,plain,
( ~ spl0_39
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f167,f380,f425]) ).
fof(f437,definition,
( spl0_41
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f438,plain,
( e0 = op(e0,e3)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f440,plain,
( ~ spl0_41
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f168,f315,f437]) ).
fof(f441,plain,
( ~ spl0_41
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f169,f324,f437]) ).
fof(f442,plain,
( ~ spl0_41
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f170,f370,f437]) ).
fof(f444,definition,
( spl0_42
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f449,definition,
( spl0_43
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f450,plain,
( e1 = op(e1,e0)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
( ~ spl0_43
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f173,f293,f449]) ).
fof(f453,plain,
( ~ spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f174,f302,f449]) ).
fof(f454,plain,
( ~ spl0_43
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f175,f352,f449]) ).
fof(f456,plain,
~ spl0_38,
inference(avatar_split_clause,[],[f177,f418]) ).
fof(f460,definition,
( spl0_44
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f461,plain,
( e1 = op(e1,e2)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,plain,
( ~ spl0_44
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f180,f249,f460]) ).
fof(f464,plain,
( ~ spl0_44
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f181,f262,f460]) ).
fof(f466,plain,
( ~ spl0_44
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f183,f380,f460]) ).
fof(f468,definition,
( spl0_45
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f469,plain,
( e1 = op(e1,e3)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,plain,
( ~ spl0_45
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f184,f315,f468]) ).
fof(f472,plain,
( ~ spl0_45
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f185,f324,f468]) ).
fof(f473,plain,
( ~ spl0_45
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f186,f370,f468]) ).
fof(f476,definition,
( spl0_46
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f477,plain,
( e2 = op(e2,e0)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( ~ spl0_46
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f189,f293,f476]) ).
fof(f481,plain,
( ~ spl0_46
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f191,f352,f476]) ).
fof(f483,definition,
( spl0_47
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f484,plain,
( e2 = op(e2,e1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( ~ spl0_47
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f192,f271,f483]) ).
fof(f489,plain,
( ~ spl0_47
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f195,f338,f483]) ).
fof(f492,plain,
~ spl0_40,
inference(avatar_split_clause,[],[f198,f431]) ).
fof(f495,definition,
( spl0_48
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f498,plain,
( ~ spl0_48
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f200,f315,f495]) ).
fof(f499,plain,
( ~ spl0_48
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f201,f324,f495]) ).
fof(f503,definition,
( spl0_49
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f504,plain,
( e3 = op(e3,e0)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f506,plain,
( ~ spl0_49
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f205,f293,f503]) ).
fof(f507,plain,
( ~ spl0_49
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f206,f302,f503]) ).
fof(f510,definition,
( spl0_50
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f511,plain,
( e3 = op(e3,e1)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,plain,
( ~ spl0_50
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f208,f271,f510]) ).
fof(f515,plain,
( ~ spl0_50
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f210,f284,f510]) ).
fof(f518,definition,
( spl0_51
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f521,plain,
( ~ spl0_51
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f212,f249,f518]) ).
fof(f522,plain,
( ~ spl0_51
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f213,f262,f518]) ).
fof(f528,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f219,f444]) ).
fof(f529,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1) ),
inference(forward_subsumption_resolution,[],[f70,f156]) ).
fof(f530,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) ),
inference(forward_subsumption_resolution,[],[f71,f156]) ).
fof(f532,definition,
( spl0_52
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f534,plain,
( e1 = op(e0,e1)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl0_53
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f538,plain,
( e1 = op(e0,e2)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f540,definition,
( spl0_54
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f542,plain,
( e1 = op(e0,e3)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( spl0_7
| spl0_52
| spl0_53
| spl0_54 ),
inference(avatar_split_clause,[],[f72,f540,f536,f532,f271]) ).
fof(f545,definition,
( spl0_55
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f547,plain,
( e1 = op(e2,e0)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl0_56
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f551,plain,
( e1 = op(e3,e0)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
( spl0_7
| spl0_43
| spl0_55
| spl0_56 ),
inference(avatar_split_clause,[],[f73,f549,f545,f449,f271]) ).
fof(f554,definition,
( spl0_57
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f556,plain,
( e2 = op(e0,e1)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl0_58
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f560,plain,
( e2 = op(e0,e2)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,definition,
( spl0_59
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f564,plain,
( e2 = op(e0,e3)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,plain,
( spl0_2
| spl0_57
| spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f74,f562,f558,f554,f249]) ).
fof(f567,definition,
( spl0_60
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f569,plain,
( e2 = op(e1,e0)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f571,definition,
( spl0_61
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f573,plain,
( e2 = op(e3,e0)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl0_2
| spl0_60
| spl0_46
| spl0_61 ),
inference(avatar_split_clause,[],[f75,f571,f476,f567,f249]) ).
fof(f576,definition,
( spl0_62
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f578,plain,
( e3 = op(e0,e1)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl0_63
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f582,plain,
( e3 = op(e0,e2)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f584,definition,
( spl0_64
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f586,plain,
( e3 = op(e0,e3)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( spl0_17
| spl0_62
| spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f76,f584,f580,f576,f315]) ).
fof(f589,definition,
( spl0_65
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f591,plain,
( e3 = op(e1,e0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl0_66
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f595,plain,
( e3 = op(e2,e0)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( spl0_17
| spl0_65
| spl0_66
| spl0_49 ),
inference(avatar_split_clause,[],[f77,f503,f593,f589,f315]) ).
fof(f598,definition,
( spl0_67
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f600,plain,
( e0 = op(e1,e0)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f602,definition,
( spl0_68
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f604,plain,
( e0 = op(e1,e2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f606,definition,
( spl0_69
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f608,plain,
( e0 = op(e1,e3)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f609,plain,
( spl0_67
| spl0_12
| spl0_68
| spl0_69 ),
inference(avatar_split_clause,[],[f78,f606,f602,f293,f598]) ).
fof(f611,definition,
( spl0_70
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f613,plain,
( e0 = op(e2,e1)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl0_71
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f617,plain,
( e0 = op(e3,e1)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl0_37
| spl0_12
| spl0_70
| spl0_71 ),
inference(avatar_split_clause,[],[f79,f615,f611,f293,f413]) ).
fof(f619,plain,
( spl0_43
| spl0_38
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f80,f468,f460,f418,f449]) ).
fof(f621,definition,
( spl0_72
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f623,plain,
( e1 = op(e2,e1)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,definition,
( spl0_73
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f627,plain,
( e1 = op(e3,e1)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f628,plain,
( spl0_52
| spl0_38
| spl0_72
| spl0_73 ),
inference(avatar_split_clause,[],[f81,f625,f621,f418,f532]) ).
fof(f630,definition,
( spl0_74
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f632,plain,
( e2 = op(e1,e2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl0_75
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f636,plain,
( e2 = op(e1,e3)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( spl0_60
| spl0_5
| spl0_74
| spl0_75 ),
inference(avatar_split_clause,[],[f82,f634,f630,f262,f567]) ).
fof(f639,definition,
( spl0_76
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f641,plain,
( e2 = op(e3,e1)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f642,plain,
( spl0_57
| spl0_5
| spl0_47
| spl0_76 ),
inference(avatar_split_clause,[],[f83,f639,f483,f262,f554]) ).
fof(f644,definition,
( spl0_77
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f646,plain,
( e3 = op(e1,e2)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,definition,
( spl0_78
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f650,plain,
( e3 = op(e1,e3)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl0_65
| spl0_19
| spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f84,f648,f644,f324,f589]) ).
fof(f653,definition,
( spl0_79
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f655,plain,
( e3 = op(e2,e1)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f656,plain,
( spl0_62
| spl0_19
| spl0_79
| spl0_50 ),
inference(avatar_split_clause,[],[f85,f510,f653,f324,f576]) ).
fof(f658,definition,
( spl0_80
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f660,plain,
( e0 = op(e2,e0)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl0_81
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f664,plain,
( e0 = op(e2,e3)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl0_80
| spl0_70
| spl0_14
| spl0_81 ),
inference(avatar_split_clause,[],[f86,f662,f302,f611,f658]) ).
fof(f667,definition,
( spl0_82
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f669,plain,
( e0 = op(e3,e2)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( spl0_39
| spl0_68
| spl0_14
| spl0_82 ),
inference(avatar_split_clause,[],[f87,f667,f302,f602,f425]) ).
fof(f672,definition,
( spl0_83
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f674,plain,
( e1 = op(e2,e3)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f677,definition,
( spl0_84
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f679,plain,
( e1 = op(e3,e2)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f680,plain,
( spl0_53
| spl0_44
| spl0_10
| spl0_84 ),
inference(avatar_split_clause,[],[f89,f677,f284,f460,f536]) ).
fof(f681,plain,
( spl0_46
| spl0_47
| spl0_40
| spl0_48 ),
inference(avatar_split_clause,[],[f90,f495,f431,f483,f476]) ).
fof(f683,definition,
( spl0_85
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f685,plain,
( e2 = op(e3,e2)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,plain,
( spl0_58
| spl0_74
| spl0_40
| spl0_85 ),
inference(avatar_split_clause,[],[f91,f683,f431,f630,f558]) ).
fof(f688,definition,
( spl0_86
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f690,plain,
( e3 = op(e2,e3)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f692,plain,
( spl0_63
| spl0_77
| spl0_29
| spl0_51 ),
inference(avatar_split_clause,[],[f93,f518,f370,f644,f580]) ).
fof(f694,definition,
( spl0_87
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f696,plain,
( e0 = op(e3,e0)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f698,plain,
( spl0_41
| spl0_69
| spl0_81
| spl0_25 ),
inference(avatar_split_clause,[],[f95,f352,f662,f606,f437]) ).
fof(f699,plain,
( spl0_56
| spl0_73
| spl0_84
| spl0_22 ),
inference(avatar_split_clause,[],[f96,f338,f677,f625,f549]) ).
fof(f700,plain,
( spl0_54
| spl0_45
| spl0_83
| spl0_22 ),
inference(avatar_split_clause,[],[f97,f338,f672,f468,f540]) ).
fof(f701,plain,
( spl0_61
| spl0_76
| spl0_85
| spl0_31 ),
inference(avatar_split_clause,[],[f98,f380,f683,f639,f571]) ).
fof(f702,plain,
( spl0_59
| spl0_75
| spl0_48
| spl0_31 ),
inference(avatar_split_clause,[],[f99,f380,f495,f634,f562]) ).
fof(f703,plain,
( spl0_49
| spl0_50
| spl0_51
| spl0_42 ),
inference(avatar_split_clause,[],[f100,f444,f518,f510,f503]) ).
fof(f704,plain,
( spl0_64
| spl0_78
| spl0_86
| spl0_42 ),
inference(avatar_split_clause,[],[f101,f444,f688,f648,f584]) ).
fof(f705,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(forward_subsumption_resolution,[],[f54,f156]) ).
fof(f707,plain,
( spl0_39
| spl0_53
| spl0_58
| spl0_63 ),
inference(avatar_split_clause,[],[f56,f580,f558,f536,f425]) ).
fof(f708,plain,
( spl0_41
| spl0_54
| spl0_59
| spl0_64 ),
inference(avatar_split_clause,[],[f57,f584,f562,f540,f437]) ).
fof(f709,plain,
( spl0_67
| spl0_43
| spl0_60
| spl0_65 ),
inference(avatar_split_clause,[],[f58,f589,f567,f449,f598]) ).
fof(f710,plain,
( spl0_12
| spl0_38
| spl0_5
| spl0_19 ),
inference(avatar_split_clause,[],[f59,f324,f262,f418,f293]) ).
fof(f712,plain,
( spl0_69
| spl0_45
| spl0_75
| spl0_78 ),
inference(avatar_split_clause,[],[f61,f648,f634,f468,f606]) ).
fof(f715,plain,
( spl0_14
| spl0_10
| spl0_40
| spl0_29 ),
inference(avatar_split_clause,[],[f64,f370,f431,f284,f302]) ).
fof(f720,plain,
( spl0_25
| spl0_22
| spl0_31
| spl0_42 ),
inference(avatar_split_clause,[],[f69,f444,f380,f338,f352]) ).
fof(f721,plain,
( spl0_37
| spl0_39
| spl0_41 ),
inference(avatar_split_clause,[],[f529,f437,f425,f413]) ).
fof(f722,plain,
( spl0_67
| spl0_80
| spl0_87 ),
inference(avatar_split_clause,[],[f530,f694,f658,f598]) ).
fof(f723,plain,
( spl0_7
| spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f705,f315,f249,f271]) ).
fof(f724,plain,
( e2 != op(op(e0,e1),e1)
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f277,f272]) ).
fof(f727,plain,
( e2 != op(e0,e1)
| ~ spl0_7
| spl0_16 ),
inference(forward_demodulation,[],[f313,f272]) ).
fof(f730,plain,
( e3 != op(op(e1,e0),e0)
| ~ spl0_12
| spl0_24 ),
inference(forward_demodulation,[],[f349,f294]) ).
fof(f733,plain,
( e3 != op(op(e2,e1),e1)
| ~ spl0_10
| spl0_32 ),
inference(forward_demodulation,[],[f387,f285]) ).
fof(f734,plain,
( e2 != op(op(e3,e1),e1)
| ~ spl0_22
| spl0_33 ),
inference(forward_demodulation,[],[f392,f339]) ).
fof(f738,plain,
( e1 = e2
| ~ spl0_52
| ~ spl0_57 ),
inference(forward_demodulation,[],[f556,f534]) ).
fof(f739,plain,
( e0 = e2
| ~ spl0_39
| ~ spl0_58 ),
inference(forward_demodulation,[],[f560,f426]) ).
fof(f741,plain,
( e2 = e3
| ~ spl0_60
| ~ spl0_65 ),
inference(forward_demodulation,[],[f591,f569]) ).
fof(f745,plain,
( e3 != op(e2,e0)
| ~ spl0_12
| spl0_24
| ~ spl0_60 ),
inference(forward_demodulation,[],[f730,f569]) ).
fof(f746,plain,
( e3 != op(e0,e1)
| ~ spl0_10
| spl0_32
| ~ spl0_70 ),
inference(forward_demodulation,[],[f733,f613]) ).
fof(f747,plain,
( e2 != op(e0,e1)
| ~ spl0_22
| spl0_33
| ~ spl0_71 ),
inference(forward_demodulation,[],[f734,f617]) ).
fof(f748,plain,
( $false
| ~ spl0_52
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f738,f152]) ).
fof(f749,plain,
( ~ spl0_52
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f750,plain,
( $false
| ~ spl0_39
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f739,f154]) ).
fof(f751,plain,
( ~ spl0_39
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f754,plain,
( $false
| ~ spl0_60
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f741,f150]) ).
fof(f755,plain,
( ~ spl0_60
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f756,plain,
( $false
| ~ spl0_12
| spl0_24
| ~ spl0_60
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f745,f595]) ).
fof(f757,plain,
( ~ spl0_12
| spl0_24
| ~ spl0_60
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f763,plain,
( e1 = e2
| ~ spl0_44
| ~ spl0_74 ),
inference(forward_demodulation,[],[f632,f461]) ).
fof(f764,plain,
( e0 = e3
| ~ spl0_65
| ~ spl0_67 ),
inference(forward_demodulation,[],[f591,f600]) ).
fof(f766,plain,
( e2 = e3
| ~ spl0_57
| ~ spl0_62 ),
inference(forward_demodulation,[],[f578,f556]) ).
fof(f768,plain,
( $false
| ~ spl0_7
| spl0_16
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f727,f556]) ).
fof(f769,plain,
( ~ spl0_7
| spl0_16
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f771,plain,
( $false
| ~ spl0_22
| spl0_33
| ~ spl0_57
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f747,f556]) ).
fof(f772,plain,
( ~ spl0_22
| spl0_33
| ~ spl0_57
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f776,plain,
( $false
| ~ spl0_44
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f763,f152]) ).
fof(f777,plain,
( ~ spl0_44
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f778,plain,
( $false
| ~ spl0_65
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f764,f153]) ).
fof(f779,plain,
( ~ spl0_65
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f781,plain,
( $false
| ~ spl0_57
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f766,f150]) ).
fof(f782,plain,
( ~ spl0_57
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f786,plain,
( e2 != op(e3,e1)
| ~ spl0_7
| spl0_8
| ~ spl0_62 ),
inference(forward_demodulation,[],[f724,f578]) ).
fof(f790,plain,
( $false
| ~ spl0_7
| spl0_8
| ~ spl0_62
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f786,f641]) ).
fof(f791,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_62
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f793,plain,
( e3 != op(op(e0,e1),e1)
| ~ spl0_7
| spl0_20 ),
inference(forward_demodulation,[],[f331,f272]) ).
fof(f797,plain,
( e3 != op(e2,e1)
| ~ spl0_7
| spl0_20
| ~ spl0_57 ),
inference(forward_demodulation,[],[f793,f556]) ).
fof(f802,plain,
( $false
| ~ spl0_7
| spl0_20
| ~ spl0_57
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f797,f655]) ).
fof(f803,plain,
( ~ spl0_7
| spl0_20
| ~ spl0_57
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f807,plain,
( e0 = e1
| ~ spl0_43
| ~ spl0_67 ),
inference(forward_demodulation,[],[f450,f600]) ).
fof(f814,plain,
( $false
| ~ spl0_43
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f807,f155]) ).
fof(f815,plain,
( ~ spl0_43
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f834,plain,
( e1 = e3
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f316,f272]) ).
fof(f836,plain,
( e0 != op(e2,e1)
| ~ spl0_10
| spl0_35 ),
inference(forward_demodulation,[],[f402,f285]) ).
fof(f839,plain,
( $false
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f834,f151]) ).
fof(f840,plain,
( ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f848,plain,
( e2 = e3
| ~ spl0_49
| ~ spl0_61 ),
inference(forward_demodulation,[],[f504,f573]) ).
fof(f849,plain,
( e0 = e3
| ~ spl0_81
| ~ spl0_86 ),
inference(forward_demodulation,[],[f690,f664]) ).
fof(f850,plain,
( $false
| ~ spl0_49
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f848,f150]) ).
fof(f851,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f852,plain,
( $false
| ~ spl0_81
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f849,f153]) ).
fof(f853,plain,
( ~ spl0_81
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f855,plain,
( e0 = e1
| ~ spl0_39
| ~ spl0_53 ),
inference(forward_demodulation,[],[f538,f426]) ).
fof(f856,plain,
( e1 = e3
| ~ spl0_43
| ~ spl0_65 ),
inference(forward_demodulation,[],[f591,f450]) ).
fof(f858,plain,
( e0 != op(op(e2,e3),e3)
| spl0_11
| ~ spl0_29 ),
inference(forward_demodulation,[],[f290,f371]) ).
fof(f864,plain,
( $false
| ~ spl0_39
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f855,f155]) ).
fof(f865,plain,
( ~ spl0_39
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f866,plain,
( $false
| ~ spl0_43
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f856,f151]) ).
fof(f867,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f882,plain,
( e0 = e3
| ~ spl0_49
| ~ spl0_87 ),
inference(forward_demodulation,[],[f504,f696]) ).
fof(f885,plain,
( $false
| ~ spl0_49
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f882,f153]) ).
fof(f886,plain,
( ~ spl0_49
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f888,plain,
( e0 != op(e3,e1)
| ~ spl0_22
| spl0_36 ),
inference(forward_demodulation,[],[f408,f339]) ).
fof(f892,plain,
( $false
| ~ spl0_22
| spl0_36
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f888,f617]) ).
fof(f893,plain,
( ~ spl0_22
| spl0_36
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f909,plain,
( e0 = e1
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_demodulation,[],[f674,f664]) ).
fof(f910,plain,
( $false
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f909,f155]) ).
fof(f911,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f921,plain,
( e0 = e2
| ~ spl0_69
| ~ spl0_75 ),
inference(superposition,[],[f636,f608]) ).
fof(f926,plain,
( $false
| ~ spl0_69
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f921,f154]) ).
fof(f927,plain,
( ~ spl0_69
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f928,plain,
( e1 = e2
| ~ spl0_43
| ~ spl0_60 ),
inference(forward_demodulation,[],[f569,f450]) ).
fof(f931,plain,
( $false
| ~ spl0_43
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f928,f152]) ).
fof(f932,plain,
( ~ spl0_43
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f936,plain,
( e0 = e3
| ~ spl0_39
| ~ spl0_63 ),
inference(forward_demodulation,[],[f582,f426]) ).
fof(f938,plain,
( e0 = e2
| ~ spl0_68
| ~ spl0_74 ),
inference(forward_demodulation,[],[f632,f604]) ).
fof(f939,plain,
( e0 = e3
| ~ spl0_69
| ~ spl0_78 ),
inference(forward_demodulation,[],[f650,f608]) ).
fof(f942,plain,
( $false
| ~ spl0_39
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f936,f153]) ).
fof(f943,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f944,plain,
( $false
| ~ spl0_68
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f938,f154]) ).
fof(f945,plain,
( ~ spl0_68
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f946,plain,
( $false
| ~ spl0_69
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f939,f153]) ).
fof(f947,plain,
( ~ spl0_69
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f946]) ).
fof(f950,plain,
( e2 = e3
| ~ spl0_59
| ~ spl0_64 ),
inference(forward_demodulation,[],[f586,f564]) ).
fof(f954,plain,
( $false
| ~ spl0_59
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f950,f150]) ).
fof(f955,plain,
( ~ spl0_59
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f967,plain,
( e0 = e3
| ~ spl0_70
| ~ spl0_79 ),
inference(forward_demodulation,[],[f655,f613]) ).
fof(f972,plain,
( e1 = e3
| ~ spl0_54
| ~ spl0_64 ),
inference(forward_demodulation,[],[f586,f542]) ).
fof(f978,plain,
( e2 != op(op(e0,e3),e3)
| spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f277,f316]) ).
fof(f984,plain,
( $false
| ~ spl0_70
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f967,f153]) ).
fof(f985,plain,
( ~ spl0_70
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f988,plain,
( $false
| ~ spl0_54
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f972,f151]) ).
fof(f989,plain,
( ~ spl0_54
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f991,plain,
( e2 != op(e1,e3)
| spl0_8
| ~ spl0_17
| ~ spl0_54 ),
inference(forward_demodulation,[],[f978,f542]) ).
fof(f1005,plain,
( e1 != op(e0,e3)
| ~ spl0_17
| spl0_27 ),
inference(forward_demodulation,[],[f363,f316]) ).
fof(f1014,plain,
( e2 = e3
| ~ spl0_75
| ~ spl0_78 ),
inference(forward_demodulation,[],[f650,f636]) ).
fof(f1035,plain,
( $false
| ~ spl0_75
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1014,f150]) ).
fof(f1036,plain,
( ~ spl0_75
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1045,plain,
( ~ spl0_75
| spl0_8
| ~ spl0_17
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f991,f540,f315,f275,f634]) ).
fof(f1051,plain,
( e2 = e3
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f263,f325]) ).
fof(f1056,plain,
( $false
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1051,f150]) ).
fof(f1057,plain,
( ~ spl0_5
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1059,plain,
( e1 = e3
| ~ spl0_50
| ~ spl0_73 ),
inference(forward_demodulation,[],[f511,f627]) ).
fof(f1061,plain,
( e3 != op(op(e1,e2),e2)
| ~ spl0_5
| spl0_24 ),
inference(forward_demodulation,[],[f349,f263]) ).
fof(f1062,plain,
( $false
| ~ spl0_50
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1059,f151]) ).
fof(f1063,plain,
( ~ spl0_50
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1071,plain,
( e0 = e2
| ~ spl0_37
| ~ spl0_57 ),
inference(superposition,[],[f414,f556]) ).
fof(f1076,plain,
( $false
| ~ spl0_37
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1071,f154]) ).
fof(f1077,plain,
( ~ spl0_37
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1079,plain,
( e1 = e2
| ~ spl0_54
| ~ spl0_59 ),
inference(forward_demodulation,[],[f564,f542]) ).
fof(f1082,plain,
( $false
| ~ spl0_54
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1079,f152]) ).
fof(f1083,plain,
( ~ spl0_54
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1085,plain,
( e1 = e3
| ~ spl0_49
| ~ spl0_56 ),
inference(superposition,[],[f551,f504]) ).
fof(f1089,plain,
( $false
| ~ spl0_49
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1085,f151]) ).
fof(f1090,plain,
( ~ spl0_49
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1094,plain,
( e2 = e3
| ~ spl0_58
| ~ spl0_63 ),
inference(superposition,[],[f582,f560]) ).
fof(f1099,plain,
( $false
| ~ spl0_58
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1094,f150]) ).
fof(f1100,plain,
( ~ spl0_58
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1107,plain,
( e0 = e3
| ~ spl0_68
| ~ spl0_77 ),
inference(superposition,[],[f646,f604]) ).
fof(f1111,plain,
( $false
| ~ spl0_68
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1107,f153]) ).
fof(f1112,plain,
( ~ spl0_68
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1116,plain,
( e3 != op(e0,e2)
| ~ spl0_5
| spl0_24
| ~ spl0_68 ),
inference(forward_demodulation,[],[f1061,f604]) ).
fof(f1122,plain,
( e0 = e2
| ~ spl0_46
| ~ spl0_80 ),
inference(superposition,[],[f477,f660]) ).
fof(f1123,plain,
( $false
| ~ spl0_46
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f1122,f154]) ).
fof(f1124,plain,
( ~ spl0_46
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1129,plain,
( e0 = e1
| ~ spl0_82
| ~ spl0_84 ),
inference(superposition,[],[f679,f669]) ).
fof(f1133,plain,
( $false
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1129,f155]) ).
fof(f1134,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1136,plain,
( e1 = e2
| ~ spl0_84
| ~ spl0_85 ),
inference(superposition,[],[f685,f679]) ).
fof(f1140,plain,
( $false
| ~ spl0_84
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f1136,f152]) ).
fof(f1141,plain,
( ~ spl0_84
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1170,plain,
( e0 != op(e2,e1)
| ~ spl0_81 ),
inference(superposition,[],[f109,f664]) ).
fof(f1177,plain,
( e1 != op(e2,e0)
| ~ spl0_72 ),
inference(superposition,[],[f113,f623]) ).
fof(f1181,plain,
( e3 != op(e1,e1)
| ~ spl0_78 ),
inference(superposition,[],[f115,f650]) ).
fof(f1190,plain,
( e1 != op(e0,e2)
| ~ spl0_54 ),
inference(superposition,[],[f120,f542]) ).
fof(f1196,plain,
( op(e0,e0) != e2
| ~ spl0_58 ),
inference(superposition,[],[f124,f560]) ).
fof(f1237,plain,
( e3 != op(e1,e2)
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f260,f263]) ).
fof(f1253,plain,
( e1 != op(op(e2,e3),e3)
| spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f308,f371]) ).
fof(f1254,plain,
( e1 != op(e0,e3)
| spl0_15
| ~ spl0_29
| ~ spl0_81 ),
inference(forward_demodulation,[],[f1253,f664]) ).
fof(f1255,plain,
( $false
| spl0_15
| ~ spl0_29
| ~ spl0_54
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f1254,f542]) ).
fof(f1256,plain,
( spl0_15
| ~ spl0_29
| ~ spl0_54
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1258,plain,
( e0 != op(e2,e3)
| ~ spl0_29
| spl0_35 ),
inference(forward_demodulation,[],[f402,f371]) ).
fof(f1262,plain,
( $false
| ~ spl0_29
| spl0_35
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f1258,f664]) ).
fof(f1263,plain,
( ~ spl0_29
| spl0_35
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1266,plain,
( ~ spl0_62
| ~ spl0_10
| spl0_32
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f746,f611,f385,f284,f576]) ).
fof(f1274,plain,
( e0 = e2
| ~ spl0_82
| ~ spl0_85 ),
inference(forward_demodulation,[],[f685,f669]) ).
fof(f1285,plain,
( $false
| ~ spl0_70
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f1170,f613]) ).
fof(f1286,plain,
( ~ spl0_70
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1288,plain,
( $false
| ~ spl0_5
| spl0_24
| ~ spl0_63
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f1116,f582]) ).
fof(f1289,plain,
( ~ spl0_5
| spl0_24
| ~ spl0_63
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f1288]) ).
fof(f1307,plain,
( e1 != op(op(e0,e2),e2)
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f255,f250]) ).
fof(f1314,plain,
( $false
| ~ spl0_82
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f1274,f154]) ).
fof(f1315,plain,
( ~ spl0_82
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1318,plain,
( e1 != op(e3,e2)
| ~ spl0_2
| spl0_3
| ~ spl0_63 ),
inference(forward_demodulation,[],[f1307,f582]) ).
fof(f1329,plain,
( ~ spl0_54
| ~ spl0_17
| spl0_27 ),
inference(avatar_split_clause,[],[f1005,f361,f315,f540]) ).
fof(f1349,plain,
( e2 != op(op(e3,e0),e0)
| ~ spl0_25
| spl0_33 ),
inference(forward_demodulation,[],[f392,f353]) ).
fof(f1358,plain,
( $false
| ~ spl0_19
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1181,f325]) ).
fof(f1359,plain,
( ~ spl0_19
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1367,plain,
( e2 != op(e1,e0)
| ~ spl0_25
| spl0_33
| ~ spl0_56 ),
inference(forward_demodulation,[],[f1349,f551]) ).
fof(f1386,plain,
( e1 != op(e3,e0)
| ~ spl0_25
| spl0_30 ),
inference(forward_demodulation,[],[f378,f353]) ).
fof(f1388,plain,
( e1 = e2
| ~ spl0_53
| ~ spl0_58 ),
inference(forward_demodulation,[],[f560,f538]) ).
fof(f1399,plain,
( $false
| ~ spl0_53
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1388,f152]) ).
fof(f1400,plain,
( ~ spl0_53
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1406,plain,
( e0 = e1
| ~ spl0_37
| ~ spl0_52 ),
inference(forward_demodulation,[],[f534,f414]) ).
fof(f1415,plain,
( $false
| ~ spl0_37
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f1406,f155]) ).
fof(f1416,plain,
( ~ spl0_37
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f1415]) ).
fof(f1421,plain,
( e2 != op(e1,e0)
| ~ spl0_12
| spl0_18 ),
inference(forward_demodulation,[],[f322,f294]) ).
fof(f1428,plain,
( e0 = e3
| ~ spl0_37
| ~ spl0_62 ),
inference(forward_demodulation,[],[f578,f414]) ).
fof(f1437,plain,
( e2 != op(op(e1,e0),e0)
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f299,f294]) ).
fof(f1438,plain,
( $false
| ~ spl0_12
| spl0_18
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1421,f569]) ).
fof(f1439,plain,
( ~ spl0_12
| spl0_18
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1442,plain,
( $false
| ~ spl0_37
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f1428,f153]) ).
fof(f1443,plain,
( ~ spl0_37
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1442]) ).
fof(f1457,plain,
( e2 = e3
| ~ spl0_47
| ~ spl0_79 ),
inference(forward_demodulation,[],[f655,f484]) ).
fof(f1464,plain,
( $false
| ~ spl0_47
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1457,f150]) ).
fof(f1465,plain,
( ~ spl0_47
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1479,plain,
( ~ spl0_60
| ~ spl0_25
| spl0_33
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1367,f549,f390,f352,f567]) ).
fof(f1482,plain,
( $false
| ~ spl0_55
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f1177,f547]) ).
fof(f1483,plain,
( ~ spl0_55
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1488,plain,
( e1 = e3
| ~ spl0_83
| ~ spl0_86 ),
inference(forward_demodulation,[],[f690,f674]) ).
fof(f1492,plain,
( e2 != op(e3,e0)
| ~ spl0_12
| spl0_13
| ~ spl0_65 ),
inference(forward_demodulation,[],[f1437,f591]) ).
fof(f1502,plain,
( $false
| ~ spl0_83
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1488,f151]) ).
fof(f1503,plain,
( ~ spl0_83
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1513,plain,
( e3 != op(op(e0,e2),e2)
| ~ spl0_2
| spl0_20 ),
inference(forward_demodulation,[],[f331,f250]) ).
fof(f1519,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1190,f538]) ).
fof(f1520,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1545,plain,
( e3 != op(e1,e2)
| ~ spl0_2
| spl0_20
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1513,f538]) ).
fof(f1552,plain,
( $false
| ~ spl0_2
| spl0_20
| ~ spl0_53
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1545,f646]) ).
fof(f1553,plain,
( ~ spl0_2
| spl0_20
| ~ spl0_53
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1574,plain,
( e3 != op(e0,e2)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f247,f250]) ).
fof(f1588,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1574,f582]) ).
fof(f1589,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1600,plain,
( ~ spl0_61
| ~ spl0_12
| spl0_13
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1492,f589,f297,f293,f571]) ).
fof(f1602,plain,
( e1 != op(e0,e2)
| ~ spl0_2
| spl0_27 ),
inference(forward_demodulation,[],[f363,f250]) ).
fof(f1628,plain,
( $false
| ~ spl0_2
| spl0_27
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1602,f538]) ).
fof(f1629,plain,
( ~ spl0_2
| spl0_27
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1628]) ).
fof(f1642,plain,
( ~ spl0_56
| ~ spl0_25
| spl0_30 ),
inference(avatar_split_clause,[],[f1386,f376,f352,f549]) ).
fof(f1645,plain,
( $false
| ~ spl0_2
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1196,f250]) ).
fof(f1646,plain,
( ~ spl0_2
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
fof(f1649,plain,
( e0 = e3
| ~ spl0_41
| ~ spl0_64 ),
inference(forward_demodulation,[],[f586,f438]) ).
fof(f1670,plain,
( $false
| ~ spl0_41
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f1649,f153]) ).
fof(f1671,plain,
( ~ spl0_41
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1672,plain,
( e3 = op(e0,e2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f246,f250]) ).
fof(f1674,plain,
( ~ spl0_77
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1237,f262,f258,f644]) ).
fof(f1677,plain,
( ~ spl0_70
| ~ spl0_10
| spl0_35 ),
inference(avatar_split_clause,[],[f836,f400,f284,f611]) ).
fof(f1687,plain,
( ~ spl0_84
| ~ spl0_2
| spl0_3
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1318,f580,f253,f249,f677]) ).
fof(f1696,plain,
( e1 = e3
| ~ spl0_45
| ~ spl0_78 ),
inference(forward_demodulation,[],[f650,f469]) ).
fof(f1723,plain,
( e0 != op(e1,e2)
| ~ spl0_5
| spl0_34 ),
inference(forward_demodulation,[],[f397,f263]) ).
fof(f1726,plain,
( $false
| ~ spl0_45
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1696,f151]) ).
fof(f1727,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1732,plain,
( $false
| ~ spl0_5
| spl0_34
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f1723,f604]) ).
fof(f1733,plain,
( ~ spl0_5
| spl0_34
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1737,plain,
( e3 = op(e1,e2)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f259,f263]) ).
fof(f1738,plain,
( e1 = e2
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f381,f339]) ).
fof(f1749,plain,
( e2 = e3
| ~ spl0_74
| ~ spl0_77 ),
inference(forward_demodulation,[],[f646,f632]) ).
fof(f1757,plain,
( e2 = e3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_74 ),
inference(forward_demodulation,[],[f1737,f632]) ).
fof(f1758,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1738,f152]) ).
fof(f1759,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1761,plain,
( $false
| ~ spl0_74
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1749,f150]) ).
fof(f1762,plain,
( ~ spl0_74
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1761]) ).
fof(f1766,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1757,f150]) ).
fof(f1767,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1783,plain,
( e0 = e1
| ~ spl0_71
| ~ spl0_73 ),
inference(forward_demodulation,[],[f627,f617]) ).
fof(f1789,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1672,f538]) ).
fof(f1807,plain,
( e1 != op(e2,e3)
| spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f368,f371]) ).
fof(f1809,plain,
( e2 != op(op(e1,e3),e3)
| spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f299,f325]) ).
fof(f1813,plain,
( e3 = op(e1,e3)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f259,f325]) ).
fof(f1815,plain,
( $false
| ~ spl0_71
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1783,f155]) ).
fof(f1816,plain,
( ~ spl0_71
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1817,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1789,f151]) ).
fof(f1818,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1820,plain,
( $false
| spl0_28
| ~ spl0_29
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1807,f674]) ).
fof(f1821,plain,
( spl0_28
| ~ spl0_29
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f1822,plain,
( e2 != op(e0,e3)
| spl0_13
| ~ spl0_19
| ~ spl0_69 ),
inference(forward_demodulation,[],[f1809,f608]) ).
fof(f1825,plain,
( e0 = e3
| ~ spl0_4
| ~ spl0_19
| ~ spl0_69 ),
inference(forward_demodulation,[],[f1813,f608]) ).
fof(f1827,plain,
( $false
| ~ spl0_4
| ~ spl0_19
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1825,f153]) ).
fof(f1828,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1895,plain,
( e0 != op(e1,e1)
| ~ spl0_69 ),
inference(superposition,[],[f115,f608]) ).
fof(f1903,plain,
( e1 != op(e0,e1)
| ~ spl0_73 ),
inference(superposition,[],[f141,f627]) ).
fof(f1942,plain,
( e0 != op(e1,e3)
| spl0_11
| ~ spl0_29
| ~ spl0_83 ),
inference(superposition,[],[f858,f674]) ).
fof(f1943,plain,
( $false
| spl0_11
| ~ spl0_29
| ~ spl0_69
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1942,f608]) ).
fof(f1944,plain,
( spl0_11
| ~ spl0_29
| ~ spl0_69
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1970,plain,
( $false
| spl0_13
| ~ spl0_19
| ~ spl0_59
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1822,f564]) ).
fof(f1971,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_59
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1980,plain,
( $false
| ~ spl0_52
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1903,f534]) ).
fof(f1981,plain,
( ~ spl0_52
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f2007,plain,
( e0 != op(e1,e3)
| ~ spl0_19
| spl0_34 ),
inference(forward_demodulation,[],[f397,f325]) ).
fof(f2015,plain,
( $false
| ~ spl0_19
| spl0_34
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f2007,f608]) ).
fof(f2016,plain,
( ~ spl0_19
| spl0_34
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2028,plain,
( e0 = e1
| ~ spl0_45
| ~ spl0_69 ),
inference(forward_demodulation,[],[f469,f608]) ).
fof(f2043,plain,
( e3 != op(e1,e0)
| spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f260,f294]) ).
fof(f2044,plain,
( $false
| ~ spl0_12
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1895,f294]) ).
fof(f2045,plain,
( ~ spl0_12
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2058,plain,
( $false
| ~ spl0_45
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f2028,f155]) ).
fof(f2059,plain,
( ~ spl0_45
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2062,plain,
( $false
| spl0_4
| ~ spl0_12
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2043,f591]) ).
fof(f2063,plain,
( spl0_4
| ~ spl0_12
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2080,plain,
( e3 != op(e0,e1)
| spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f247,f272]) ).
fof(f2086,plain,
( $false
| spl0_1
| ~ spl0_7
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f2080,f578]) ).
fof(f2087,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2121,plain,
( e0 != op(e1,e0)
| ~ spl0_12 ),
inference(superposition,[],[f119,f294]) ).
fof(f2126,plain,
( $false
| ~ spl0_12
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2121,f600]) ).
fof(f2127,plain,
( ~ spl0_12
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f256]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f278]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f300]) ).
cnf(s9,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f332]) ).
cnf(s11,plain,
( ~ spl0_12
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f350]) ).
cnf(s13,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f364]) ).
cnf(s14,plain,
( ~ spl0_11
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f373]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_27 ),
inference(sat_conversion,[],[f374]) ).
cnf(s18,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_33 ),
inference(sat_conversion,[],[f393]) ).
cnf(s19,plain,
( ~ spl0_13
| ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f398]) ).
cnf(s20,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_35 ),
inference(sat_conversion,[],[f403]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_24
| ~ spl0_34 ),
inference(sat_conversion,[],[f404]) ).
cnf(s23,plain,
( ~ spl0_10
| ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f410]) ).
cnf(s24,plain,
( ~ spl0_22
| ~ spl0_33
| ~ spl0_36 ),
inference(sat_conversion,[],[f411]) ).
cnf(s25,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(sat_conversion,[],[f416]) ).
cnf(s27,plain,
( ~ spl0_10
| ~ spl0_37 ),
inference(sat_conversion,[],[f422]) ).
cnf(s28,plain,
( ~ spl0_22
| ~ spl0_37 ),
inference(sat_conversion,[],[f423]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_39 ),
inference(sat_conversion,[],[f428]) ).
cnf(s30,plain,
( ~ spl0_5
| ~ spl0_39 ),
inference(sat_conversion,[],[f429]) ).
cnf(s32,plain,
( ~ spl0_31
| ~ spl0_39 ),
inference(sat_conversion,[],[f435]) ).
cnf(s33,plain,
( ~ spl0_17
| ~ spl0_41 ),
inference(sat_conversion,[],[f440]) ).
cnf(s34,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f441]) ).
cnf(s35,plain,
( ~ spl0_29
| ~ spl0_41 ),
inference(sat_conversion,[],[f442]) ).
cnf(s37,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f452]) ).
cnf(s38,plain,
( ~ spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f453]) ).
cnf(s39,plain,
( ~ spl0_25
| ~ spl0_43 ),
inference(sat_conversion,[],[f454]) ).
cnf(s41,plain,
~ spl0_38,
inference(sat_conversion,[],[f456]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_44 ),
inference(sat_conversion,[],[f463]) ).
cnf(s45,plain,
( ~ spl0_5
| ~ spl0_44 ),
inference(sat_conversion,[],[f464]) ).
cnf(s47,plain,
( ~ spl0_31
| ~ spl0_44 ),
inference(sat_conversion,[],[f466]) ).
cnf(s48,plain,
( ~ spl0_17
| ~ spl0_45 ),
inference(sat_conversion,[],[f471]) ).
cnf(s49,plain,
( ~ spl0_19
| ~ spl0_45 ),
inference(sat_conversion,[],[f472]) ).
cnf(s50,plain,
( ~ spl0_29
| ~ spl0_45 ),
inference(sat_conversion,[],[f473]) ).
cnf(s52,plain,
( ~ spl0_12
| ~ spl0_46 ),
inference(sat_conversion,[],[f479]) ).
cnf(s54,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f481]) ).
cnf(s55,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f486]) ).
cnf(s58,plain,
( ~ spl0_22
| ~ spl0_47 ),
inference(sat_conversion,[],[f489]) ).
cnf(s61,plain,
~ spl0_40,
inference(sat_conversion,[],[f492]) ).
cnf(s63,plain,
( ~ spl0_17
| ~ spl0_48 ),
inference(sat_conversion,[],[f498]) ).
cnf(s64,plain,
( ~ spl0_19
| ~ spl0_48 ),
inference(sat_conversion,[],[f499]) ).
cnf(s67,plain,
( ~ spl0_12
| ~ spl0_49 ),
inference(sat_conversion,[],[f506]) ).
cnf(s68,plain,
( ~ spl0_14
| ~ spl0_49 ),
inference(sat_conversion,[],[f507]) ).
cnf(s70,plain,
( ~ spl0_7
| ~ spl0_50 ),
inference(sat_conversion,[],[f513]) ).
cnf(s72,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f515]) ).
cnf(s74,plain,
( ~ spl0_2
| ~ spl0_51 ),
inference(sat_conversion,[],[f521]) ).
cnf(s75,plain,
( ~ spl0_5
| ~ spl0_51 ),
inference(sat_conversion,[],[f522]) ).
cnf(s81,plain,
~ spl0_42,
inference(sat_conversion,[],[f528]) ).
cnf(s82,plain,
( spl0_7
| spl0_52
| spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f543]) ).
cnf(s83,plain,
( spl0_7
| spl0_43
| spl0_55
| spl0_56 ),
inference(sat_conversion,[],[f552]) ).
cnf(s84,plain,
( spl0_2
| spl0_57
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f565]) ).
cnf(s85,plain,
( spl0_2
| spl0_46
| spl0_60
| spl0_61 ),
inference(sat_conversion,[],[f574]) ).
cnf(s86,plain,
( spl0_17
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f587]) ).
cnf(s87,plain,
( spl0_17
| spl0_49
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f596]) ).
cnf(s88,plain,
( spl0_12
| spl0_67
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f609]) ).
cnf(s89,plain,
( spl0_12
| spl0_37
| spl0_70
| spl0_71 ),
inference(sat_conversion,[],[f618]) ).
cnf(s90,plain,
( spl0_38
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f619]) ).
cnf(s91,plain,
( spl0_38
| spl0_52
| spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f628]) ).
cnf(s92,plain,
( spl0_5
| spl0_60
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f637]) ).
cnf(s93,plain,
( spl0_5
| spl0_47
| spl0_57
| spl0_76 ),
inference(sat_conversion,[],[f642]) ).
cnf(s94,plain,
( spl0_19
| spl0_65
| spl0_77
| spl0_78 ),
inference(sat_conversion,[],[f651]) ).
cnf(s95,plain,
( spl0_19
| spl0_50
| spl0_62
| spl0_79 ),
inference(sat_conversion,[],[f656]) ).
cnf(s96,plain,
( spl0_14
| spl0_70
| spl0_80
| spl0_81 ),
inference(sat_conversion,[],[f665]) ).
cnf(s97,plain,
( spl0_14
| spl0_39
| spl0_68
| spl0_82 ),
inference(sat_conversion,[],[f670]) ).
cnf(s99,plain,
( spl0_10
| spl0_44
| spl0_53
| spl0_84 ),
inference(sat_conversion,[],[f680]) ).
cnf(s100,plain,
( spl0_40
| spl0_46
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f681]) ).
cnf(s101,plain,
( spl0_40
| spl0_58
| spl0_74
| spl0_85 ),
inference(sat_conversion,[],[f686]) ).
cnf(s103,plain,
( spl0_29
| spl0_51
| spl0_63
| spl0_77 ),
inference(sat_conversion,[],[f692]) ).
cnf(s105,plain,
( spl0_25
| spl0_41
| spl0_69
| spl0_81 ),
inference(sat_conversion,[],[f698]) ).
cnf(s106,plain,
( spl0_22
| spl0_56
| spl0_73
| spl0_84 ),
inference(sat_conversion,[],[f699]) ).
cnf(s107,plain,
( spl0_22
| spl0_45
| spl0_54
| spl0_83 ),
inference(sat_conversion,[],[f700]) ).
cnf(s108,plain,
( spl0_31
| spl0_61
| spl0_76
| spl0_85 ),
inference(sat_conversion,[],[f701]) ).
cnf(s109,plain,
( spl0_31
| spl0_48
| spl0_59
| spl0_75 ),
inference(sat_conversion,[],[f702]) ).
cnf(s110,plain,
( spl0_42
| spl0_49
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f703]) ).
cnf(s111,plain,
( spl0_42
| spl0_64
| spl0_78
| spl0_86 ),
inference(sat_conversion,[],[f704]) ).
cnf(s113,plain,
( spl0_39
| spl0_53
| spl0_58
| spl0_63 ),
inference(sat_conversion,[],[f707]) ).
cnf(s114,plain,
( spl0_41
| spl0_54
| spl0_59
| spl0_64 ),
inference(sat_conversion,[],[f708]) ).
cnf(s115,plain,
( spl0_43
| spl0_60
| spl0_65
| spl0_67 ),
inference(sat_conversion,[],[f709]) ).
cnf(s116,plain,
( spl0_5
| spl0_12
| spl0_19
| spl0_38 ),
inference(sat_conversion,[],[f710]) ).
cnf(s118,plain,
( spl0_45
| spl0_69
| spl0_75
| spl0_78 ),
inference(sat_conversion,[],[f712]) ).
cnf(s121,plain,
( spl0_10
| spl0_14
| spl0_29
| spl0_40 ),
inference(sat_conversion,[],[f715]) ).
cnf(s126,plain,
( spl0_22
| spl0_25
| spl0_31
| spl0_42 ),
inference(sat_conversion,[],[f720]) ).
cnf(s127,plain,
( spl0_37
| spl0_39
| spl0_41 ),
inference(sat_conversion,[],[f721]) ).
cnf(s128,plain,
( spl0_67
| spl0_80
| spl0_87 ),
inference(sat_conversion,[],[f722]) ).
cnf(s129,plain,
( spl0_2
| spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f723]) ).
cnf(s130,plain,
( ~ spl0_52
| ~ spl0_57 ),
inference(sat_conversion,[],[f749]) ).
cnf(s131,plain,
( ~ spl0_39
| ~ spl0_58 ),
inference(sat_conversion,[],[f751]) ).
cnf(s133,plain,
( ~ spl0_60
| ~ spl0_65 ),
inference(sat_conversion,[],[f755]) ).
cnf(s134,plain,
( ~ spl0_12
| spl0_24
| ~ spl0_60
| ~ spl0_66 ),
inference(sat_conversion,[],[f757]) ).
cnf(s135,plain,
( ~ spl0_7
| spl0_16
| ~ spl0_57 ),
inference(sat_conversion,[],[f769]) ).
cnf(s136,plain,
( ~ spl0_22
| spl0_33
| ~ spl0_57
| ~ spl0_71 ),
inference(sat_conversion,[],[f772]) ).
cnf(s138,plain,
( ~ spl0_44
| ~ spl0_74 ),
inference(sat_conversion,[],[f777]) ).
cnf(s139,plain,
( ~ spl0_65
| ~ spl0_67 ),
inference(sat_conversion,[],[f779]) ).
cnf(s140,plain,
( ~ spl0_57
| ~ spl0_62 ),
inference(sat_conversion,[],[f782]) ).
cnf(s142,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_62
| ~ spl0_76 ),
inference(sat_conversion,[],[f791]) ).
cnf(s145,plain,
( ~ spl0_7
| spl0_20
| ~ spl0_57
| ~ spl0_79 ),
inference(sat_conversion,[],[f803]) ).
cnf(s146,plain,
( ~ spl0_43
| ~ spl0_67 ),
inference(sat_conversion,[],[f815]) ).
cnf(s149,plain,
( ~ spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f840]) ).
cnf(s152,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(sat_conversion,[],[f851]) ).
cnf(s153,plain,
( ~ spl0_81
| ~ spl0_86 ),
inference(sat_conversion,[],[f853]) ).
cnf(s154,plain,
( ~ spl0_39
| ~ spl0_53 ),
inference(sat_conversion,[],[f865]) ).
cnf(s155,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(sat_conversion,[],[f867]) ).
cnf(s158,plain,
( ~ spl0_49
| ~ spl0_87 ),
inference(sat_conversion,[],[f886]) ).
cnf(s159,plain,
( ~ spl0_22
| spl0_36
| ~ spl0_71 ),
inference(sat_conversion,[],[f893]) ).
cnf(s163,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(sat_conversion,[],[f911]) ).
cnf(s167,plain,
( ~ spl0_69
| ~ spl0_75 ),
inference(sat_conversion,[],[f927]) ).
cnf(s168,plain,
( ~ spl0_43
| ~ spl0_60 ),
inference(sat_conversion,[],[f932]) ).
cnf(s170,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(sat_conversion,[],[f943]) ).
cnf(s171,plain,
( ~ spl0_68
| ~ spl0_74 ),
inference(sat_conversion,[],[f945]) ).
cnf(s172,plain,
( ~ spl0_69
| ~ spl0_78 ),
inference(sat_conversion,[],[f947]) ).
cnf(s173,plain,
( ~ spl0_59
| ~ spl0_64 ),
inference(sat_conversion,[],[f955]) ).
cnf(s175,plain,
( ~ spl0_70
| ~ spl0_79 ),
inference(sat_conversion,[],[f985]) ).
cnf(s177,plain,
( ~ spl0_54
| ~ spl0_64 ),
inference(sat_conversion,[],[f989]) ).
cnf(s181,plain,
( ~ spl0_75
| ~ spl0_78 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s182,plain,
( spl0_8
| ~ spl0_17
| ~ spl0_54
| ~ spl0_75 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s185,plain,
( ~ spl0_5
| ~ spl0_19 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s186,plain,
( ~ spl0_50
| ~ spl0_73 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s188,plain,
( ~ spl0_37
| ~ spl0_57 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s189,plain,
( ~ spl0_54
| ~ spl0_59 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s191,plain,
( ~ spl0_49
| ~ spl0_56 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s193,plain,
( ~ spl0_58
| ~ spl0_63 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s195,plain,
( ~ spl0_68
| ~ spl0_77 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s196,plain,
( ~ spl0_46
| ~ spl0_80 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s199,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s201,plain,
( ~ spl0_84
| ~ spl0_85 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s206,plain,
( spl0_15
| ~ spl0_29
| ~ spl0_54
| ~ spl0_81 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s208,plain,
( ~ spl0_29
| spl0_35
| ~ spl0_81 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s211,plain,
( ~ spl0_10
| spl0_32
| ~ spl0_62
| ~ spl0_70 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s218,plain,
( ~ spl0_70
| ~ spl0_81 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s219,plain,
( ~ spl0_5
| spl0_24
| ~ spl0_63
| ~ spl0_68 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s223,plain,
( ~ spl0_82
| ~ spl0_85 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s227,plain,
( ~ spl0_17
| spl0_27
| ~ spl0_54 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s228,plain,
( ~ spl0_19
| ~ spl0_78 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s234,plain,
( ~ spl0_53
| ~ spl0_58 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s237,plain,
( ~ spl0_37
| ~ spl0_52 ),
inference(sat_conversion,[],[f1416]) ).
cnf(s240,plain,
( ~ spl0_12
| spl0_18
| ~ spl0_60 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s241,plain,
( ~ spl0_37
| ~ spl0_62 ),
inference(sat_conversion,[],[f1443]) ).
cnf(s244,plain,
( ~ spl0_47
| ~ spl0_79 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s247,plain,
( ~ spl0_25
| spl0_33
| ~ spl0_56
| ~ spl0_60 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s248,plain,
( ~ spl0_55
| ~ spl0_72 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s253,plain,
( ~ spl0_83
| ~ spl0_86 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s256,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s258,plain,
( ~ spl0_2
| spl0_20
| ~ spl0_53
| ~ spl0_77 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s265,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_63 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s268,plain,
( ~ spl0_12
| spl0_13
| ~ spl0_61
| ~ spl0_65 ),
inference(sat_conversion,[],[f1600]) ).
cnf(s273,plain,
( ~ spl0_2
| spl0_27
| ~ spl0_53 ),
inference(sat_conversion,[],[f1629]) ).
cnf(s276,plain,
( ~ spl0_25
| spl0_30
| ~ spl0_56 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s277,plain,
( ~ spl0_2
| ~ spl0_58 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s280,plain,
( ~ spl0_41
| ~ spl0_64 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s281,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_77 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s283,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_70 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s284,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_63
| ~ spl0_84 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s286,plain,
( ~ spl0_45
| ~ spl0_78 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s287,plain,
( ~ spl0_5
| spl0_34
| ~ spl0_68 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s293,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s294,plain,
( ~ spl0_74
| ~ spl0_77 ),
inference(sat_conversion,[],[f1762]) ).
cnf(s296,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_74 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s303,plain,
( ~ spl0_71
| ~ spl0_73 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s304,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_53 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s305,plain,
( spl0_28
| ~ spl0_29
| ~ spl0_83 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s306,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_69 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s307,plain,
( spl0_11
| ~ spl0_29
| ~ spl0_69
| ~ spl0_83 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s323,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_59
| ~ spl0_69 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s324,plain,
( ~ spl0_52
| ~ spl0_73 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s329,plain,
( ~ spl0_19
| spl0_34
| ~ spl0_69 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s336,plain,
( ~ spl0_12
| ~ spl0_69 ),
inference(sat_conversion,[],[f2045]) ).
cnf(s340,plain,
( ~ spl0_45
| ~ spl0_69 ),
inference(sat_conversion,[],[f2059]) ).
cnf(s342,plain,
( spl0_4
| ~ spl0_12
| ~ spl0_65 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s348,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_62 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s355,plain,
( ~ spl0_12
| ~ spl0_67 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s356,plain,
( ~ spl0_39
| ~ spl0_64
| spl0_7
| spl0_2 ),
inference(rat,[],[s130,s84,s82,s131,s154,s177,s173]) ).
cnf(s357,plain,
( ~ spl0_64
| spl0_7
| spl0_2 ),
inference(rat,[],[s234,s84,s82,s188,s237,s127,s356,s173,s177,s33,s129]) ).
cnf(s358,plain,
( spl0_54
| ~ spl0_19
| spl0_64
| spl0_41
| spl0_45
| spl0_48 ),
inference(rat,[],[s19,s323,s329,s105,s54,s100,s58,s107,s114,s253,s153,s111,s228,s61,s81]) ).
cnf(s360,plain,
( ~ spl0_56
| ~ spl0_25
| ~ spl0_60 ),
inference(rat,[],[s18,s247,s276]) ).
cnf(s361,plain,
( ~ spl0_52
| spl0_56
| spl0_74
| spl0_22
| spl0_41 ),
inference(rat,[],[s101,s131,s201,s127,s106,s237,s324,s61]) ).
cnf(s362,plain,
( spl0_19
| spl0_7
| spl0_5
| spl0_4
| spl0_2 ),
inference(rat,[],[s189,s84,s82,s131,s154,s127,s140,s241,s95,s186,s91,s361,s248,s83,s360,s126,s47,s138,s58,s244,s115,s90,s100,s342,s37,s52,s355,s116,s63,s48,s33,s129,s41,s81,s61]) ).
cnf(s363,plain,
( spl0_75
| spl0_59
| spl0_53
| spl0_41
| spl0_45
| spl0_48
| spl0_5 ),
inference(rat,[],[s97,s199,s171,s99,s92,s27,s38,s168,s127,s90,s32,s47,s109,s41]) ).
cnf(s364,plain,
( spl0_7
| spl0_5
| spl0_4
| spl0_2 ),
inference(rat,[],[s182,s13,s363,s227,s189,s256,s358,s362,s357,s33,s48,s63,s129]) ).
cnf(s365,plain,
( spl0_41
| spl0_62
| ~ spl0_7
| spl0_2 ),
inference(rat,[],[s24,s136,s159,s89,s218,s105,s126,s167,s52,s54,s109,s100,s64,s95,s145,s9,s135,s84,s173,s86,s32,s131,s170,s127,s149,s70,s55,s25,s81,s61]) ).
cnf(s366,plain,
( spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s11,s134,s240,s87,s115,s342,s37,s67,s355,s116,s34,s365,s348,s149,s364,s41]) ).
cnf(s367,plain,
( ~ spl0_17
| spl0_77
| spl0_39
| spl0_44
| spl0_19 ),
inference(rat,[],[s206,s20,s107,s208,s163,s105,s172,s121,s94,s27,s28,s38,s39,s155,s127,s90,s33,s48,s61,s41]) ).
cnf(s368,plain,
( spl0_78
| spl0_64
| spl0_14
| spl0_61
| spl0_70
| spl0_77
| spl0_19
| spl0_2 ),
inference(rat,[],[s196,s85,s96,s133,s153,s94,s111,s81]) ).
cnf(s369,plain,
( spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s196,s128,s85,s146,s168,s90,s286,s368,s280,s68,s152,s158,s175,s127,s110,s95,s348,s25,s70,s129,s367,s281,s30,s45,s75,s185,s366,s81,s41]) ).
cnf(s370,plain,
( spl0_7
| ~ spl0_75
| ~ spl0_19
| spl0_41
| spl0_2 ),
inference(rat,[],[s13,s182,s227,s358,s357,s129,s64,s49]) ).
cnf(s371,plain,
( ~ spl0_7
| spl0_41
| spl0_2
| spl0_1 ),
inference(rat,[],[s365,s348]) ).
cnf(s372,plain,
( ~ spl0_19
| spl0_7
| spl0_41
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s118,s370,s306,s228,s48,s129]) ).
cnf(s373,plain,
( ~ spl0_12
| spl0_83
| spl0_78
| ~ spl0_17 ),
inference(rat,[],[s13,s182,s227,s107,s58,s100,s118,s52,s336,s63,s48,s61]) ).
cnf(s374,plain,
( spl0_78
| spl0_19
| spl0_64
| ~ spl0_17
| spl0_41 ),
inference(rat,[],[s99,s256,s199,s107,s97,s195,s27,s28,s38,s367,s127,s90,s30,s45,s116,s373,s253,s111,s48,s41,s81]) ).
cnf(s375,plain,
( ~ spl0_39
| spl0_75
| spl0_19
| spl0_45
| spl0_48
| spl0_7
| spl0_41 ),
inference(rat,[],[s360,s361,s92,s126,s138,s58,s90,s100,s82,s37,s52,s189,s116,s109,s30,s32,s154,s81,s41,s61]) ).
cnf(s376,plain,
( spl0_5
| spl0_22
| spl0_52
| spl0_62
| spl0_75
| spl0_19
| spl0_45
| spl0_48
| spl0_7 ),
inference(rat,[],[s248,s83,s91,s360,s186,s126,s92,s95,s47,s138,s244,s90,s100,s37,s52,s116,s41,s81,s61]) ).
cnf(s377,plain,
( spl0_41
| spl0_2
| spl0_1 ),
inference(rat,[],[s88,s195,s37,s146,s367,s90,s45,s376,s28,s237,s241,s127,s375,s172,s181,s374,s372,s48,s63,s357,s129,s371,s369,s41]) ).
cnf(s379,plain,
( spl0_60
| spl0_13
| ~ spl0_12
| spl0_2 ),
inference(rat,[],[s268,s85,s115,s355,s52,s37]) ).
cnf(s380,plain,
( ~ spl0_12
| spl0_17
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s134,s11,s87,s240,s133,s379,s5,s67]) ).
cnf(s381,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s21,s219,s287,s97,s223,s68,s101,s110,s296,s75,s116,s380,s170,s193,s86,s348,s70,s129,s33,s34,s280,s377,s369,s41,s81,s61]) ).
cnf(s382,plain,
spl0_1,
inference(rat,[],[s307,s14,s105,s305,s163,s107,s28,s39,s127,s90,s35,s50,s103,s258,s15,s273,s256,s113,s29,s44,s74,s265,s277,s381,s41]) ).
cnf(s383,plain,
( spl0_7
| ~ spl0_19
| spl0_41
| spl0_2 ),
inference(rat,[],[s364,s372,s185]) ).
cnf(s384,plain,
( ~ spl0_19
| spl0_41
| spl0_2 ),
inference(rat,[],[s93,s142,s140,s3,s365,s55,s383,s185,s382]) ).
cnf(s385,plain,
( spl0_7
| spl0_41
| spl0_2 ),
inference(rat,[],[s88,s195,s37,s146,s367,s90,s45,s376,s28,s237,s241,s127,s375,s172,s181,s374,s48,s63,s357,s129,s384,s41]) ).
cnf(s386,plain,
( spl0_41
| spl0_2 ),
inference(rat,[],[s93,s30,s142,s140,s127,s3,s365,s25,s55,s385,s382]) ).
cnf(s387,plain,
( ~ spl0_12
| spl0_2 ),
inference(rat,[],[s11,s134,s240,s87,s115,s342,s380,s37,s67,s355,s33,s386]) ).
cnf(s388,plain,
( ~ spl0_43
| spl0_2 ),
inference(rat,[],[s196,s128,s85,s146,s168,s158,s152,s110,s75,s116,s387,s34,s70,s129,s33,s386,s81,s41]) ).
cnf(s389,plain,
( ~ spl0_65
| spl0_2 ),
inference(rat,[],[s196,s85,s128,s133,s139,s158,s152,s110,s75,s116,s387,s34,s70,s129,s33,s386,s81,s41]) ).
cnf(s390,plain,
spl0_2,
inference(rat,[],[s23,s211,s283,s89,s303,s106,s293,s108,s142,s86,s193,s101,s199,s223,s97,s195,s294,s94,s389,s286,s90,s388,s121,s68,s152,s191,s110,s30,s45,s75,s116,s387,s3,s25,s70,s129,s33,s34,s35,s280,s386,s61,s41,s81,s382]) ).
cnf(s391,plain,
~ spl0_53,
inference(rat,[],[s304,s382,s390]) ).
cnf(s392,plain,
~ spl0_58,
inference(rat,[],[s277,s390]) ).
cnf(s393,plain,
~ spl0_51,
inference(rat,[],[s74,s390]) ).
cnf(s394,plain,
~ spl0_44,
inference(rat,[],[s44,s390]) ).
cnf(s395,plain,
~ spl0_39,
inference(rat,[],[s29,s390]) ).
cnf(s396,plain,
~ spl0_3,
inference(rat,[],[s1,s382,s390]) ).
cnf(s397,plain,
spl0_63,
inference(rat,[],[s113,s395,s392,s391]) ).
cnf(s399,plain,
~ spl0_84,
inference(rat,[],[s284,s396,s390,s397]) ).
cnf(s400,plain,
spl0_10,
inference(rat,[],[s99,s394,s391,s399]) ).
cnf(s401,plain,
~ spl0_50,
inference(rat,[],[s72,s400]) ).
cnf(s403,plain,
~ spl0_37,
inference(rat,[],[s27,s400]) ).
cnf(s404,plain,
spl0_49,
inference(rat,[],[s110,s393,s81,s401]) ).
cnf(s405,plain,
spl0_41,
inference(rat,[],[s127,s395,s403]) ).
cnf(s410,plain,
~ spl0_14,
inference(rat,[],[s68,s404]) ).
cnf(s411,plain,
~ spl0_12,
inference(rat,[],[s67,s404]) ).
cnf(s413,plain,
~ spl0_19,
inference(rat,[],[s34,s405]) ).
cnf(s415,plain,
spl0_5,
inference(rat,[],[s116,s41,s413,s411]) ).
cnf(s416,plain,
~ spl0_68,
inference(rat,[],[s21,s219,s287,s415,s397]) ).
cnf(s417,plain,
spl0_82,
inference(rat,[],[s97,s395,s410,s416]) ).
cnf(s418,plain,
~ spl0_85,
inference(rat,[],[s223,s417]) ).
cnf(s421,plain,
spl0_74,
inference(rat,[],[s101,s392,s61,s418]) ).
cnf(s422,plain,
~ spl0_77,
inference(rat,[],[s294,s421]) ).
cnf(s426,plain,
~ spl0_43,
inference(rat,[],[s172,s88,s94,s146,s155,s411,s416,s413,s422]) ).
cnf(s427,plain,
spl0_45,
inference(rat,[],[s90,s394,s41,s426]) ).
cnf(s428,plain,
~ spl0_69,
inference(rat,[],[s340,s427]) ).
cnf(s429,plain,
~ spl0_78,
inference(rat,[],[s286,s427]) ).
cnf(s430,plain,
spl0_67,
inference(rat,[],[s88,s416,s411,s428]) ).
cnf(s432,plain,
spl0_65,
inference(rat,[],[s94,s422,s413,s429]) ).
cnf(s433,plain,
$false,
inference(rat,[],[s139,s430,s432]) ).
fof(f2128,plain,
$false,
inference(avatar_sat_refutation,[],[s433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG136+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:32:19 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.24/0.27 % (453342)Will run a generic schedule for satisfiability detection.
% 0.24/0.27 % (453351)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=947737799:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.27 % (453348)% WARNING: option uhcvi not known.
% 0.24/0.27 % (453350)dis+10_1_sil=32000:sp=arity:random_seed=743913585:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.27 % (453347)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1085773683_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.27 % (453348)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3304878964:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.27 % (453349)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3933034900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.27 % (453352)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2803897296:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.27 % (453353)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=638938206:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.27 % (453351) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-453342-453351"...
% 0.24/0.27 % Detected minimum model sizes of [4]
% 0.24/0.27 % Detected maximum model sizes of [max]
% 0.24/0.27 % TRYING [4]
% 0.24/0.27 % (453351)...printing done.
% 0.24/0.27 % (453351)Refutation found. Thanks to Tanya!
% 0.24/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.28 % (453351)------------------------------
% 0.24/0.28 % (453351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.28 % (453351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.28 % (453351)CaDiCaL version: 2.1.3
% 0.24/0.28 % (453351)Termination reason: Refutation
% 0.24/0.28 % (453351)Time elapsed: 0.022 s
% 0.24/0.28 % (453351)Peak memory usage: 13 MB
% 0.24/0.28 % (453351)Instructions burned: 71 (million)
% 0.24/0.28 % (453342)Success in time 0.055 s
% 0.24/0.28 % Vampire exiting
%------------------------------------------------------------------------------