%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG110+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:11:10 AM UTC 2026
% Result : Theorem 1.69s 0.91s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 169
% Syntax : Number of formulae : 1105 ( 168 unt; 157 def)
% Number of atoms : 3816 (1658 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4592 (1881 ~;2054 |; 520 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 159 ( 157 usr; 158 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,definition,
( ( op1(e13,e13) = e13
& op1(e13,e13) != e13 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( op1(e13,e12) = e13
& op1(e12,e13) != e12 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op1(e13,e11) = e13
& op1(e11,e13) != e11 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op1(e13,e10) = e13
& op1(e10,e13) != e10 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| sP3 )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| sP2 )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| sP1 )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| sP0 ) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f26,definition,
( ( op2(e23,e23) = e23
& op2(e23,e23) != e23 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op2(e23,e22) = e23
& op2(e22,e23) != e22 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op2(e23,e21) = e23
& op2(e21,e23) != e21 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op2(e23,e20) = e23
& op2(e20,e23) != e20 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f30,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| sP7 )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| sP6 )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| sP5 )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| sP4 ) ),
inference(definition_folding,[],[f11,f29,f28,f27,f26]) ).
fof(f31,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f43,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| sP19
| sP18
| sP17 )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| sP16
| sP15
| sP14 )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| sP13
| sP12
| sP11 )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| sP10
| sP9
| sP8 ) ),
inference(definition_folding,[],[f20,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f44,plain,
( ( op1(e13,e10) = e13
& op1(e10,e13) != e10 )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( op1(e13,e11) = e13
& op1(e11,e13) != e11 )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( op1(e13,e12) = e13
& op1(e12,e13) != e12 )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( op1(e13,e13) = e13
& op1(e13,e13) != e13 )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( op2(e23,e20) = e23
& op2(e20,e23) != e20 )
| ~ sP7 ),
inference(nnf_transformation,[],[f29]) ).
fof(f49,plain,
( ( op2(e23,e21) = e23
& op2(e21,e23) != e21 )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f50,plain,
( ( op2(e23,e22) = e23
& op2(e22,e23) != e22 )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f51,plain,
( ( op2(e23,e23) = e23
& op2(e23,e23) != e23 )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f58,plain,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f36]) ).
fof(f59,plain,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP12 ),
inference(nnf_transformation,[],[f35]) ).
fof(f60,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f34]) ).
fof(f81,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
( e10 = op1(e10,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f222,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f226,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f233,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f259,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f261,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f262,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f264,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f265,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f266,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f285,plain,
( e13 = op1(e13,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f287,plain,
( e13 = op1(e13,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f289,plain,
( e13 = op1(e13,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f291,plain,
( e13 = op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f297,plain,
( e10 = op1(e10,e13)
| e13 != op1(e13,e11)
| e12 = op1(e12,e13)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f307,plain,
( e10 = op1(e10,e12)
| e11 = op1(e11,e12)
| e12 = op1(e12,e12)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f312,plain,
( e10 = op1(e10,e11)
| e11 != op1(e11,e11)
| e11 != op1(e11,e12)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f313,plain,
( e10 = op1(e10,e11)
| e11 != op1(e11,e11)
| e12 = op1(e12,e11)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f314,plain,
( e10 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 != op1(e11,e12)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f315,plain,
( e10 = op1(e10,e11)
| e11 = op1(e11,e11)
| e12 = op1(e12,e11)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f318,plain,
( e10 != op1(e10,e10)
| e11 = op1(e11,e10)
| e10 != op1(e10,e12)
| sP3 ),
inference(cnf_transformation,[],[f25]) ).
fof(f322,plain,
( e10 = op1(e10,e10)
| e11 = op1(e11,e10)
| e10 != op1(e10,e12)
| sP3 ),
inference(cnf_transformation,[],[f25]) ).
fof(f325,plain,
( e23 = op2(e23,e20)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f327,plain,
( e23 = op2(e23,e21)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f328,plain,
( e22 != op2(e22,e23)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f331,plain,
( e23 = op2(e23,e23)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f339,plain,
( e20 = op2(e20,e23)
| e21 = op2(e21,e23)
| e22 = op2(e22,e23)
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f347,plain,
( e20 = op2(e20,e22)
| e21 = op2(e21,e22)
| e22 = op2(e22,e22)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f353,plain,
( e20 = op2(e20,e21)
| e21 != op2(e21,e21)
| e22 = op2(e22,e21)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f355,plain,
( e20 = op2(e20,e21)
| e21 = op2(e21,e21)
| e22 = op2(e22,e21)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f362,plain,
( e20 = op2(e20,e20)
| e21 = op2(e21,e20)
| e20 != op2(e20,e22)
| sP7 ),
inference(cnf_transformation,[],[f30]) ).
fof(f364,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f378,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f379,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f380,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f381,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f412,plain,
( e21 != h3(e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f58]) ).
fof(f415,plain,
( e22 != h3(e12)
| ~ sP12 ),
inference(cnf_transformation,[],[f59]) ).
fof(f418,plain,
( e23 != h3(e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f60]) ).
fof(f441,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP13
| sP12
| sP11 ),
inference(cnf_transformation,[],[f43]) ).
fof(f547,definition,
( spl20_24
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl20_24])],[avatar_definition]) ).
fof(f551,definition,
( spl20_25
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl20_25])],[avatar_definition]) ).
fof(f555,definition,
( spl20_26
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl20_26])],[avatar_definition]) ).
fof(f563,definition,
( spl20_28
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_28])],[avatar_definition]) ).
fof(f565,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl20_28 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl20_29
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_29])],[avatar_definition]) ).
fof(f569,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl20_29 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f571,definition,
( spl20_30
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_30])],[avatar_definition]) ).
fof(f573,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl20_30 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f575,definition,
( spl20_31
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_31])],[avatar_definition]) ).
fof(f577,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl20_31 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,definition,
( spl20_32
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_32])],[avatar_definition]) ).
fof(f581,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl20_32 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl20_33
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_33])],[avatar_definition]) ).
fof(f585,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl20_33 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f587,definition,
( spl20_34
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_34])],[avatar_definition]) ).
fof(f589,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl20_34 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f591,definition,
( spl20_35
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_35])],[avatar_definition]) ).
fof(f593,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl20_35 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f595,definition,
( spl20_36
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_36])],[avatar_definition]) ).
fof(f597,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl20_36 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f599,definition,
( spl20_37
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_37])],[avatar_definition]) ).
fof(f601,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl20_37 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f603,definition,
( spl20_38
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_38])],[avatar_definition]) ).
fof(f605,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl20_38 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl20_39
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_39])],[avatar_definition]) ).
fof(f609,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl20_39 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f611,definition,
( spl20_40
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_40])],[avatar_definition]) ).
fof(f613,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl20_40 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl20_41
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_41])],[avatar_definition]) ).
fof(f617,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl20_41 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f619,definition,
( spl20_42
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_42])],[avatar_definition]) ).
fof(f621,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl20_42 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f623,definition,
( spl20_43
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_43])],[avatar_definition]) ).
fof(f625,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl20_43 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f638,definition,
( spl20_46
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl20_46])],[avatar_definition]) ).
fof(f639,plain,
( e20 = h3(e10)
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,plain,
( spl20_24
| spl20_25
| spl20_26
| ~ spl20_46
| ~ spl20_28
| ~ spl20_29
| ~ spl20_30
| ~ spl20_31
| ~ spl20_32
| ~ spl20_33
| ~ spl20_34
| ~ spl20_35
| ~ spl20_36
| ~ spl20_37
| ~ spl20_38
| ~ spl20_39
| ~ spl20_40
| ~ spl20_41
| ~ spl20_42
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f441,f623,f619,f615,f611,f607,f603,f599,f595,f591,f587,f583,f579,f575,f571,f567,f563,f638,f555,f551,f547]) ).
fof(f895,definition,
( spl20_105
<=> e23 = h3(e13) ),
introduced(definition,[new_symbols(definition,[spl20_105])],[avatar_definition]) ).
fof(f896,plain,
( e23 = h3(e13)
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f898,plain,
( ~ spl20_24
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f418,f895,f547]) ).
fof(f920,definition,
( spl20_110
<=> e22 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl20_110])],[avatar_definition]) ).
fof(f921,plain,
( e22 = h3(e12)
| ~ spl20_110 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f923,plain,
( ~ spl20_25
| ~ spl20_110 ),
inference(avatar_split_clause,[],[f415,f920,f551]) ).
fof(f945,definition,
( spl20_115
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl20_115])],[avatar_definition]) ).
fof(f946,plain,
( e21 = h3(e11)
| ~ spl20_115 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f948,plain,
( ~ spl20_26
| ~ spl20_115 ),
inference(avatar_split_clause,[],[f412,f945,f555]) ).
fof(f1075,plain,
spl20_110,
inference(avatar_split_clause,[],[f381,f920]) ).
fof(f1079,definition,
( spl20_141
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl20_141])],[avatar_definition]) ).
fof(f1087,definition,
( spl20_143
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl20_143])],[avatar_definition]) ).
fof(f1088,plain,
( e23 = op2(e23,e21)
| ~ spl20_143 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1091,definition,
( spl20_144
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_144])],[avatar_definition]) ).
fof(f1096,definition,
( spl20_145
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_145])],[avatar_definition]) ).
fof(f1098,plain,
( e22 = op2(e22,e23)
| ~ spl20_145 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1101,definition,
( spl20_146
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_146])],[avatar_definition]) ).
fof(f1103,plain,
( e21 = op2(e21,e23)
| ~ spl20_146 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1107,definition,
( spl20_147
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_147])],[avatar_definition]) ).
fof(f1109,plain,
( e20 = op2(e20,e23)
| ~ spl20_147 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1113,plain,
( spl20_141
| spl20_145
| spl20_146
| spl20_147 ),
inference(avatar_split_clause,[],[f339,f1107,f1101,f1096,f1079]) ).
fof(f1115,definition,
( spl20_148
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl20_148])],[avatar_definition]) ).
fof(f1119,definition,
( spl20_149
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_149])],[avatar_definition]) ).
fof(f1120,plain,
( e22 = op2(e22,e22)
| ~ spl20_149 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1123,definition,
( spl20_150
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl20_150])],[avatar_definition]) ).
fof(f1124,plain,
( e22 = op2(e22,e21)
| ~ spl20_150 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1133,definition,
( spl20_152
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_152])],[avatar_definition]) ).
fof(f1135,plain,
( e21 = op2(e21,e22)
| ~ spl20_152 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1139,definition,
( spl20_153
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_153])],[avatar_definition]) ).
fof(f1141,plain,
( e20 = op2(e20,e22)
| ~ spl20_153 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1145,plain,
( spl20_148
| spl20_149
| spl20_152
| spl20_153 ),
inference(avatar_split_clause,[],[f347,f1139,f1133,f1119,f1115]) ).
fof(f1147,definition,
( spl20_154
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl20_154])],[avatar_definition]) ).
fof(f1151,definition,
( spl20_155
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_155])],[avatar_definition]) ).
fof(f1155,definition,
( spl20_156
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_156])],[avatar_definition]) ).
fof(f1156,plain,
( e21 = op2(e21,e20)
| ~ spl20_156 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1163,definition,
( spl20_157
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_157])],[avatar_definition]) ).
fof(f1165,plain,
( e20 = op2(e20,e21)
| ~ spl20_157 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1167,plain,
( spl20_154
| spl20_150
| ~ spl20_155
| spl20_157 ),
inference(avatar_split_clause,[],[f353,f1163,f1151,f1123,f1147]) ).
fof(f1169,plain,
( spl20_154
| spl20_150
| spl20_155
| spl20_157 ),
inference(avatar_split_clause,[],[f355,f1163,f1151,f1123,f1147]) ).
fof(f1171,definition,
( spl20_158
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl20_158])],[avatar_definition]) ).
fof(f1175,definition,
( spl20_159
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl20_159])],[avatar_definition]) ).
fof(f1184,plain,
( spl20_158
| ~ spl20_153
| spl20_156
| spl20_159 ),
inference(avatar_split_clause,[],[f362,f1175,f1155,f1139,f1171]) ).
fof(f1187,definition,
( spl20_160
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_160])],[avatar_definition]) ).
fof(f1188,plain,
( e23 = op2(e23,e23)
| ~ spl20_160 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1191,plain,
( ~ spl20_141
| spl20_160 ),
inference(avatar_split_clause,[],[f331,f1187,f1079]) ).
fof(f1192,plain,
( ~ spl20_148
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f328,f1096,f1115]) ).
fof(f1195,plain,
( ~ spl20_154
| spl20_143 ),
inference(avatar_split_clause,[],[f327,f1087,f1147]) ).
fof(f1197,plain,
( ~ spl20_158
| spl20_144 ),
inference(avatar_split_clause,[],[f325,f1091,f1171]) ).
fof(f1199,definition,
( spl20_161
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl20_161])],[avatar_definition]) ).
fof(f1203,definition,
( spl20_162
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_162])],[avatar_definition]) ).
fof(f1204,plain,
( e13 = op1(e13,e12)
| ~ spl20_162 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1207,definition,
( spl20_163
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_163])],[avatar_definition]) ).
fof(f1208,plain,
( e13 = op1(e13,e11)
| ~ spl20_163 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1211,definition,
( spl20_164
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_164])],[avatar_definition]) ).
fof(f1212,plain,
( e13 = op1(e13,e10)
| ~ spl20_164 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1216,definition,
( spl20_165
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_165])],[avatar_definition]) ).
fof(f1218,plain,
( e12 = op1(e12,e13)
| ~ spl20_165 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1221,definition,
( spl20_166
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_166])],[avatar_definition]) ).
fof(f1223,plain,
( e11 = op1(e11,e13)
| ~ spl20_166 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1227,definition,
( spl20_167
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_167])],[avatar_definition]) ).
fof(f1229,plain,
( e10 = op1(e10,e13)
| ~ spl20_167 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1231,plain,
( spl20_161
| spl20_165
| ~ spl20_163
| spl20_167 ),
inference(avatar_split_clause,[],[f297,f1227,f1207,f1216,f1199]) ).
fof(f1235,definition,
( spl20_168
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl20_168])],[avatar_definition]) ).
fof(f1239,definition,
( spl20_169
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_169])],[avatar_definition]) ).
fof(f1240,plain,
( e12 = op1(e12,e12)
| ~ spl20_169 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1243,definition,
( spl20_170
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_170])],[avatar_definition]) ).
fof(f1244,plain,
( e12 = op1(e12,e11)
| ~ spl20_170 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1253,definition,
( spl20_172
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_172])],[avatar_definition]) ).
fof(f1255,plain,
( e11 = op1(e11,e12)
| ~ spl20_172 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1259,definition,
( spl20_173
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_173])],[avatar_definition]) ).
fof(f1261,plain,
( e10 = op1(e10,e12)
| ~ spl20_173 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1265,plain,
( spl20_168
| spl20_169
| spl20_172
| spl20_173 ),
inference(avatar_split_clause,[],[f307,f1259,f1253,f1239,f1235]) ).
fof(f1267,definition,
( spl20_174
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl20_174])],[avatar_definition]) ).
fof(f1271,definition,
( spl20_175
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_175])],[avatar_definition]) ).
fof(f1272,plain,
( e11 = op1(e11,e11)
| ~ spl20_175 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1275,definition,
( spl20_176
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_176])],[avatar_definition]) ).
fof(f1276,plain,
( e11 = op1(e11,e10)
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1283,definition,
( spl20_177
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_177])],[avatar_definition]) ).
fof(f1286,plain,
( spl20_174
| ~ spl20_172
| ~ spl20_175
| spl20_177 ),
inference(avatar_split_clause,[],[f312,f1283,f1271,f1253,f1267]) ).
fof(f1287,plain,
( spl20_174
| spl20_170
| ~ spl20_175
| spl20_177 ),
inference(avatar_split_clause,[],[f313,f1283,f1271,f1243,f1267]) ).
fof(f1288,plain,
( spl20_174
| ~ spl20_172
| spl20_175
| spl20_177 ),
inference(avatar_split_clause,[],[f314,f1283,f1271,f1253,f1267]) ).
fof(f1289,plain,
( spl20_174
| spl20_170
| spl20_175
| spl20_177 ),
inference(avatar_split_clause,[],[f315,f1283,f1271,f1243,f1267]) ).
fof(f1291,definition,
( spl20_178
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl20_178])],[avatar_definition]) ).
fof(f1295,definition,
( spl20_179
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl20_179])],[avatar_definition]) ).
fof(f1300,plain,
( spl20_178
| ~ spl20_173
| spl20_176
| ~ spl20_179 ),
inference(avatar_split_clause,[],[f318,f1295,f1275,f1259,f1291]) ).
fof(f1304,plain,
( spl20_178
| ~ spl20_173
| spl20_176
| spl20_179 ),
inference(avatar_split_clause,[],[f322,f1295,f1275,f1259,f1291]) ).
fof(f1307,definition,
( spl20_180
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_180])],[avatar_definition]) ).
fof(f1308,plain,
( e13 = op1(e13,e13)
| ~ spl20_180 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1311,plain,
( ~ spl20_161
| spl20_180 ),
inference(avatar_split_clause,[],[f291,f1307,f1199]) ).
fof(f1313,plain,
( ~ spl20_168
| spl20_162 ),
inference(avatar_split_clause,[],[f289,f1203,f1235]) ).
fof(f1315,plain,
( ~ spl20_174
| spl20_163 ),
inference(avatar_split_clause,[],[f287,f1207,f1267]) ).
fof(f1317,plain,
( ~ spl20_178
| spl20_164 ),
inference(avatar_split_clause,[],[f285,f1211,f1291]) ).
fof(f1319,definition,
( spl20_181
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_181])],[avatar_definition]) ).
fof(f1321,plain,
( e23 = op2(e22,e23)
| ~ spl20_181 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1323,definition,
( spl20_182
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_182])],[avatar_definition]) ).
fof(f1325,plain,
( e23 = op2(e21,e23)
| ~ spl20_182 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1327,definition,
( spl20_183
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_183])],[avatar_definition]) ).
fof(f1329,plain,
( e23 = op2(e20,e23)
| ~ spl20_183 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1330,plain,
( spl20_160
| spl20_181
| spl20_182
| spl20_183 ),
inference(avatar_split_clause,[],[f128,f1327,f1323,f1319,f1187]) ).
fof(f1333,definition,
( spl20_184
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_184])],[avatar_definition]) ).
fof(f1335,plain,
( e22 = op2(e23,e23)
| ~ spl20_184 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1337,definition,
( spl20_185
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_185])],[avatar_definition]) ).
fof(f1339,plain,
( e22 = op2(e21,e23)
| ~ spl20_185 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1341,definition,
( spl20_186
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_186])],[avatar_definition]) ).
fof(f1343,plain,
( e22 = op2(e20,e23)
| ~ spl20_186 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1344,plain,
( spl20_184
| spl20_145
| spl20_185
| spl20_186 ),
inference(avatar_split_clause,[],[f130,f1341,f1337,f1096,f1333]) ).
fof(f1346,definition,
( spl20_187
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_187])],[avatar_definition]) ).
fof(f1348,plain,
( e22 = op2(e23,e22)
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1350,definition,
( spl20_188
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl20_188])],[avatar_definition]) ).
fof(f1352,plain,
( e22 = op2(e23,e21)
| ~ spl20_188 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1354,definition,
( spl20_189
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_189])],[avatar_definition]) ).
fof(f1357,plain,
( spl20_184
| spl20_187
| spl20_188
| spl20_189 ),
inference(avatar_split_clause,[],[f131,f1354,f1350,f1346,f1333]) ).
fof(f1363,definition,
( spl20_191
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_191])],[avatar_definition]) ).
fof(f1365,plain,
( e21 = op2(e22,e23)
| ~ spl20_191 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1367,definition,
( spl20_192
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_192])],[avatar_definition]) ).
fof(f1369,plain,
( e21 = op2(e20,e23)
| ~ spl20_192 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1372,definition,
( spl20_193
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_193])],[avatar_definition]) ).
fof(f1374,plain,
( e21 = op2(e23,e22)
| ~ spl20_193 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1385,definition,
( spl20_196
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_196])],[avatar_definition]) ).
fof(f1387,plain,
( e20 = op2(e23,e23)
| ~ spl20_196 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1389,definition,
( spl20_197
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_197])],[avatar_definition]) ).
fof(f1391,plain,
( e20 = op2(e22,e23)
| ~ spl20_197 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1393,definition,
( spl20_198
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_198])],[avatar_definition]) ).
fof(f1398,definition,
( spl20_199
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_199])],[avatar_definition]) ).
fof(f1406,definition,
( spl20_201
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_201])],[avatar_definition]) ).
fof(f1411,definition,
( spl20_202
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_202])],[avatar_definition]) ).
fof(f1413,plain,
( e23 = op2(e22,e22)
| ~ spl20_202 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1419,definition,
( spl20_204
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_204])],[avatar_definition]) ).
fof(f1421,plain,
( e23 = op2(e20,e22)
| ~ spl20_204 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1433,definition,
( spl20_207
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_207])],[avatar_definition]) ).
fof(f1435,plain,
( e22 = op2(e21,e22)
| ~ spl20_207 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1437,definition,
( spl20_208
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_208])],[avatar_definition]) ).
fof(f1439,plain,
( e22 = op2(e20,e22)
| ~ spl20_208 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1440,plain,
( spl20_187
| spl20_149
| spl20_207
| spl20_208 ),
inference(avatar_split_clause,[],[f138,f1437,f1433,f1119,f1346]) ).
fof(f1443,definition,
( spl20_209
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_209])],[avatar_definition]) ).
fof(f1445,plain,
( e21 = op2(e22,e22)
| ~ spl20_209 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1447,definition,
( spl20_210
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_210])],[avatar_definition]) ).
fof(f1450,plain,
( spl20_193
| spl20_209
| spl20_152
| spl20_210 ),
inference(avatar_split_clause,[],[f140,f1447,f1133,f1443,f1372]) ).
fof(f1452,definition,
( spl20_211
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl20_211])],[avatar_definition]) ).
fof(f1454,plain,
( e21 = op2(e22,e21)
| ~ spl20_211 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1456,definition,
( spl20_212
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl20_212])],[avatar_definition]) ).
fof(f1458,plain,
( e21 = op2(e22,e20)
| ~ spl20_212 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1459,plain,
( spl20_191
| spl20_209
| spl20_211
| spl20_212 ),
inference(avatar_split_clause,[],[f141,f1456,f1452,f1443,f1363]) ).
fof(f1461,definition,
( spl20_213
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_213])],[avatar_definition]) ).
fof(f1463,plain,
( e20 = op2(e22,e22)
| ~ spl20_213 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1465,definition,
( spl20_214
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_214])],[avatar_definition]) ).
fof(f1467,plain,
( e20 = op2(e21,e22)
| ~ spl20_214 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1468,plain,
( spl20_199
| spl20_213
| spl20_214
| spl20_153 ),
inference(avatar_split_clause,[],[f142,f1139,f1465,f1461,f1398]) ).
fof(f1470,definition,
( spl20_215
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl20_215])],[avatar_definition]) ).
fof(f1472,plain,
( e20 = op2(e22,e21)
| ~ spl20_215 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1474,definition,
( spl20_216
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl20_216])],[avatar_definition]) ).
fof(f1476,plain,
( e20 = op2(e22,e20)
| ~ spl20_216 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1477,plain,
( spl20_197
| spl20_213
| spl20_215
| spl20_216 ),
inference(avatar_split_clause,[],[f143,f1474,f1470,f1461,f1389]) ).
fof(f1483,definition,
( spl20_218
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_218])],[avatar_definition]) ).
fof(f1485,plain,
( e23 = op2(e20,e21)
| ~ spl20_218 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1493,definition,
( spl20_220
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_220])],[avatar_definition]) ).
fof(f1495,plain,
( e22 = op2(e21,e21)
| ~ spl20_220 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1497,definition,
( spl20_221
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_221])],[avatar_definition]) ).
fof(f1499,plain,
( e22 = op2(e20,e21)
| ~ spl20_221 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1500,plain,
( spl20_188
| spl20_150
| spl20_220
| spl20_221 ),
inference(avatar_split_clause,[],[f146,f1497,f1493,f1123,f1350]) ).
fof(f1502,definition,
( spl20_222
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_222])],[avatar_definition]) ).
fof(f1504,plain,
( e22 = op2(e21,e20)
| ~ spl20_222 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1505,plain,
( spl20_185
| spl20_207
| spl20_220
| spl20_222 ),
inference(avatar_split_clause,[],[f147,f1502,f1493,f1433,f1337]) ).
fof(f1513,definition,
( spl20_224
<=> e20 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_224])],[avatar_definition]) ).
fof(f1515,plain,
( e20 = op2(e21,e21)
| ~ spl20_224 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f1518,definition,
( spl20_225
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_225])],[avatar_definition]) ).
fof(f1520,plain,
( e20 = op2(e21,e20)
| ~ spl20_225 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1521,plain,
( spl20_198
| spl20_214
| spl20_224
| spl20_225 ),
inference(avatar_split_clause,[],[f151,f1518,f1513,f1465,f1393]) ).
fof(f1523,definition,
( spl20_226
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl20_226])],[avatar_definition]) ).
fof(f1525,plain,
( op2(e20,e20) = e23
| ~ spl20_226 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1527,plain,
( spl20_183
| spl20_204
| spl20_218
| spl20_226 ),
inference(avatar_split_clause,[],[f153,f1523,f1483,f1419,f1327]) ).
fof(f1529,definition,
( spl20_227
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[spl20_227])],[avatar_definition]) ).
fof(f1531,plain,
( op2(e20,e20) = e22
| ~ spl20_227 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1533,plain,
( spl20_186
| spl20_208
| spl20_221
| spl20_227 ),
inference(avatar_split_clause,[],[f155,f1529,f1497,f1437,f1341]) ).
fof(f1540,plain,
( spl20_201
| spl20_216
| spl20_225
| spl20_159 ),
inference(avatar_split_clause,[],[f158,f1175,f1518,f1474,f1406]) ).
fof(f1563,definition,
( spl20_230
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_230])],[avatar_definition]) ).
fof(f1565,plain,
( e13 = op1(e11,e13)
| ~ spl20_230 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1571,plain,
( spl20_180
| spl20_162
| spl20_163
| spl20_164 ),
inference(avatar_split_clause,[],[f81,f1211,f1207,f1203,f1307]) ).
fof(f1573,definition,
( spl20_232
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_232])],[avatar_definition]) ).
fof(f1575,plain,
( e12 = op1(e13,e13)
| ~ spl20_232 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1577,definition,
( spl20_233
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_233])],[avatar_definition]) ).
fof(f1579,plain,
( e12 = op1(e11,e13)
| ~ spl20_233 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1581,definition,
( spl20_234
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_234])],[avatar_definition]) ).
fof(f1583,plain,
( e12 = op1(e10,e13)
| ~ spl20_234 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1584,plain,
( spl20_232
| spl20_165
| spl20_233
| spl20_234 ),
inference(avatar_split_clause,[],[f82,f1581,f1577,f1216,f1573]) ).
fof(f1586,definition,
( spl20_235
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_235])],[avatar_definition]) ).
fof(f1588,plain,
( e12 = op1(e13,e12)
| ~ spl20_235 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1590,definition,
( spl20_236
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_236])],[avatar_definition]) ).
fof(f1592,plain,
( e12 = op1(e13,e11)
| ~ spl20_236 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1594,definition,
( spl20_237
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_237])],[avatar_definition]) ).
fof(f1596,plain,
( e12 = op1(e13,e10)
| ~ spl20_237 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1597,plain,
( spl20_232
| spl20_235
| spl20_236
| spl20_237 ),
inference(avatar_split_clause,[],[f83,f1594,f1590,f1586,f1573]) ).
fof(f1599,definition,
( spl20_238
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_238])],[avatar_definition]) ).
fof(f1601,plain,
( e11 = op1(e13,e13)
| ~ spl20_238 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f1603,definition,
( spl20_239
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_239])],[avatar_definition]) ).
fof(f1605,plain,
( e11 = op1(e12,e13)
| ~ spl20_239 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f1607,definition,
( spl20_240
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_240])],[avatar_definition]) ).
fof(f1609,plain,
( e11 = op1(e10,e13)
| ~ spl20_240 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1610,plain,
( spl20_238
| spl20_239
| spl20_166
| spl20_240 ),
inference(avatar_split_clause,[],[f84,f1607,f1221,f1603,f1599]) ).
fof(f1612,definition,
( spl20_241
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_241])],[avatar_definition]) ).
fof(f1614,plain,
( e11 = op1(e13,e12)
| ~ spl20_241 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1616,definition,
( spl20_242
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_242])],[avatar_definition]) ).
fof(f1618,plain,
( e11 = op1(e13,e11)
| ~ spl20_242 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1625,definition,
( spl20_244
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_244])],[avatar_definition]) ).
fof(f1627,plain,
( e10 = op1(e13,e13)
| ~ spl20_244 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f1629,definition,
( spl20_245
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_245])],[avatar_definition]) ).
fof(f1631,plain,
( e10 = op1(e12,e13)
| ~ spl20_245 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1633,definition,
( spl20_246
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_246])],[avatar_definition]) ).
fof(f1638,definition,
( spl20_247
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_247])],[avatar_definition]) ).
fof(f1642,definition,
( spl20_248
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_248])],[avatar_definition]) ).
fof(f1651,definition,
( spl20_250
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_250])],[avatar_definition]) ).
fof(f1653,plain,
( e13 = op1(e12,e12)
| ~ spl20_250 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1655,definition,
( spl20_251
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_251])],[avatar_definition]) ).
fof(f1664,definition,
( spl20_253
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_253])],[avatar_definition]) ).
fof(f1666,plain,
( e13 = op1(e12,e11)
| ~ spl20_253 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1668,definition,
( spl20_254
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_254])],[avatar_definition]) ).
fof(f1670,plain,
( e13 = op1(e12,e10)
| ~ spl20_254 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1673,definition,
( spl20_255
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_255])],[avatar_definition]) ).
fof(f1675,plain,
( e12 = op1(e11,e12)
| ~ spl20_255 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1677,definition,
( spl20_256
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_256])],[avatar_definition]) ).
fof(f1679,plain,
( e12 = op1(e10,e12)
| ~ spl20_256 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1680,plain,
( spl20_235
| spl20_169
| spl20_255
| spl20_256 ),
inference(avatar_split_clause,[],[f90,f1677,f1673,f1239,f1586]) ).
fof(f1683,definition,
( spl20_257
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_257])],[avatar_definition]) ).
fof(f1685,plain,
( e11 = op1(e12,e12)
| ~ spl20_257 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1687,definition,
( spl20_258
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_258])],[avatar_definition]) ).
fof(f1689,plain,
( e11 = op1(e10,e12)
| ~ spl20_258 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f1690,plain,
( spl20_241
| spl20_257
| spl20_172
| spl20_258 ),
inference(avatar_split_clause,[],[f92,f1687,f1253,f1683,f1612]) ).
fof(f1692,definition,
( spl20_259
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_259])],[avatar_definition]) ).
fof(f1694,plain,
( e11 = op1(e12,e11)
| ~ spl20_259 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1701,definition,
( spl20_261
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_261])],[avatar_definition]) ).
fof(f1703,plain,
( e10 = op1(e12,e12)
| ~ spl20_261 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1705,definition,
( spl20_262
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_262])],[avatar_definition]) ).
fof(f1707,plain,
( e10 = op1(e11,e12)
| ~ spl20_262 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1708,plain,
( spl20_247
| spl20_261
| spl20_262
| spl20_173 ),
inference(avatar_split_clause,[],[f94,f1259,f1705,f1701,f1638]) ).
fof(f1710,definition,
( spl20_263
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_263])],[avatar_definition]) ).
fof(f1712,plain,
( e10 = op1(e12,e11)
| ~ spl20_263 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1714,definition,
( spl20_264
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_264])],[avatar_definition]) ).
fof(f1716,plain,
( e10 = op1(e12,e10)
| ~ spl20_264 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1717,plain,
( spl20_245
| spl20_261
| spl20_263
| spl20_264 ),
inference(avatar_split_clause,[],[f95,f1714,f1710,f1701,f1629]) ).
fof(f1719,definition,
( spl20_265
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_265])],[avatar_definition]) ).
fof(f1721,plain,
( e13 = op1(e11,e11)
| ~ spl20_265 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1723,definition,
( spl20_266
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_266])],[avatar_definition]) ).
fof(f1725,plain,
( e13 = op1(e10,e11)
| ~ spl20_266 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1726,plain,
( spl20_163
| spl20_253
| spl20_265
| spl20_266 ),
inference(avatar_split_clause,[],[f96,f1723,f1719,f1664,f1207]) ).
fof(f1728,definition,
( spl20_267
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_267])],[avatar_definition]) ).
fof(f1730,plain,
( e13 = op1(e11,e10)
| ~ spl20_267 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1731,plain,
( spl20_230
| spl20_251
| spl20_265
| spl20_267 ),
inference(avatar_split_clause,[],[f97,f1728,f1719,f1655,f1563]) ).
fof(f1733,definition,
( spl20_268
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_268])],[avatar_definition]) ).
fof(f1735,plain,
( e12 = op1(e11,e11)
| ~ spl20_268 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1737,definition,
( spl20_269
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_269])],[avatar_definition]) ).
fof(f1739,plain,
( e12 = op1(e10,e11)
| ~ spl20_269 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1740,plain,
( spl20_236
| spl20_170
| spl20_268
| spl20_269 ),
inference(avatar_split_clause,[],[f98,f1737,f1733,f1243,f1590]) ).
fof(f1742,definition,
( spl20_270
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_270])],[avatar_definition]) ).
fof(f1744,plain,
( e12 = op1(e11,e10)
| ~ spl20_270 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1745,plain,
( spl20_233
| spl20_255
| spl20_268
| spl20_270 ),
inference(avatar_split_clause,[],[f99,f1742,f1733,f1673,f1577]) ).
fof(f1747,definition,
( spl20_271
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_271])],[avatar_definition]) ).
fof(f1749,plain,
( e11 = op1(e10,e11)
| ~ spl20_271 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1750,plain,
( spl20_242
| spl20_259
| spl20_175
| spl20_271 ),
inference(avatar_split_clause,[],[f100,f1747,f1271,f1692,f1616]) ).
fof(f1753,definition,
( spl20_272
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_272])],[avatar_definition]) ).
fof(f1755,plain,
( e10 = op1(e11,e11)
| ~ spl20_272 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1756,plain,
( spl20_248
| spl20_263
| spl20_272
| spl20_177 ),
inference(avatar_split_clause,[],[f102,f1283,f1753,f1710,f1642]) ).
fof(f1758,definition,
( spl20_273
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_273])],[avatar_definition]) ).
fof(f1760,plain,
( e10 = op1(e11,e10)
| ~ spl20_273 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1761,plain,
( spl20_246
| spl20_262
| spl20_272
| spl20_273 ),
inference(avatar_split_clause,[],[f103,f1758,f1753,f1705,f1633]) ).
fof(f1763,definition,
( spl20_274
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl20_274])],[avatar_definition]) ).
fof(f1765,plain,
( op1(e10,e10) = e13
| ~ spl20_274 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1766,plain,
( spl20_164
| spl20_254
| spl20_267
| spl20_274 ),
inference(avatar_split_clause,[],[f104,f1763,f1728,f1668,f1211]) ).
fof(f1798,plain,
spl20_250,
inference(avatar_split_clause,[],[f364,f1651]) ).
fof(f1799,plain,
spl20_202,
inference(avatar_split_clause,[],[f367,f1411]) ).
fof(f1825,plain,
( e20 = e23
| ~ spl20_153
| ~ spl20_204 ),
inference(forward_demodulation,[],[f1421,f1141]) ).
fof(f1826,plain,
( $false
| ~ spl20_153
| ~ spl20_204 ),
inference(forward_subsumption_resolution,[],[f1825,f265]) ).
fof(f1827,plain,
( ~ spl20_153
| ~ spl20_204 ),
inference(avatar_contradiction_clause,[],[f1826]) ).
fof(f1829,plain,
( e22 = e23
| ~ spl20_143
| ~ spl20_188 ),
inference(superposition,[],[f1352,f1088]) ).
fof(f1833,plain,
( $false
| ~ spl20_143
| ~ spl20_188 ),
inference(forward_subsumption_resolution,[],[f1829,f262]) ).
fof(f1834,plain,
( ~ spl20_143
| ~ spl20_188 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1836,plain,
( e21 = e22
| ~ spl20_145
| ~ spl20_191 ),
inference(forward_demodulation,[],[f1365,f1098]) ).
fof(f1837,plain,
( $false
| ~ spl20_145
| ~ spl20_191 ),
inference(forward_subsumption_resolution,[],[f1836,f264]) ).
fof(f1838,plain,
( ~ spl20_145
| ~ spl20_191 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1840,plain,
( e21 = e22
| ~ spl20_186
| ~ spl20_192 ),
inference(forward_demodulation,[],[f1369,f1343]) ).
fof(f1841,plain,
( $false
| ~ spl20_186
| ~ spl20_192 ),
inference(forward_subsumption_resolution,[],[f1840,f264]) ).
fof(f1842,plain,
( ~ spl20_186
| ~ spl20_192 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1846,plain,
( e20 = e22
| ~ spl20_145
| ~ spl20_197 ),
inference(forward_demodulation,[],[f1391,f1098]) ).
fof(f1847,plain,
( $false
| ~ spl20_145
| ~ spl20_197 ),
inference(forward_subsumption_resolution,[],[f1846,f266]) ).
fof(f1848,plain,
( ~ spl20_145
| ~ spl20_197 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f1858,plain,
( e20 = e21
| ~ spl20_147
| ~ spl20_192 ),
inference(superposition,[],[f1109,f1369]) ).
fof(f1864,plain,
( $false
| ~ spl20_147
| ~ spl20_192 ),
inference(forward_subsumption_resolution,[],[f1858,f267]) ).
fof(f1865,plain,
( ~ spl20_147
| ~ spl20_192 ),
inference(avatar_contradiction_clause,[],[f1864]) ).
fof(f1880,plain,
( e21 = e22
| ~ spl20_187
| ~ spl20_193 ),
inference(forward_demodulation,[],[f1374,f1348]) ).
fof(f1882,plain,
( $false
| ~ spl20_187
| ~ spl20_193 ),
inference(forward_subsumption_resolution,[],[f1880,f264]) ).
fof(f1883,plain,
( ~ spl20_187
| ~ spl20_193 ),
inference(avatar_contradiction_clause,[],[f1882]) ).
fof(f1884,plain,
( e20 = e22
| ~ spl20_184
| ~ spl20_196 ),
inference(superposition,[],[f1335,f1387]) ).
fof(f1888,plain,
( $false
| ~ spl20_184
| ~ spl20_196 ),
inference(forward_subsumption_resolution,[],[f1884,f266]) ).
fof(f1889,plain,
( ~ spl20_184
| ~ spl20_196 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1906,plain,
( e22 = e23
| ~ spl20_145
| ~ spl20_181 ),
inference(forward_demodulation,[],[f1321,f1098]) ).
fof(f1909,plain,
( $false
| ~ spl20_145
| ~ spl20_181 ),
inference(forward_subsumption_resolution,[],[f1906,f262]) ).
fof(f1910,plain,
( ~ spl20_145
| ~ spl20_181 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1914,plain,
( e21 = e23
| ~ spl20_183
| ~ spl20_192 ),
inference(forward_demodulation,[],[f1329,f1369]) ).
fof(f1916,plain,
( $false
| ~ spl20_183
| ~ spl20_192 ),
inference(forward_subsumption_resolution,[],[f1914,f263]) ).
fof(f1917,plain,
( ~ spl20_183
| ~ spl20_192 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1969,plain,
( e21 = e22
| ~ spl20_152
| ~ spl20_207 ),
inference(superposition,[],[f1435,f1135]) ).
fof(f1973,plain,
( $false
| ~ spl20_152
| ~ spl20_207 ),
inference(forward_subsumption_resolution,[],[f1969,f264]) ).
fof(f1974,plain,
( ~ spl20_152
| ~ spl20_207 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1984,plain,
( e21 = e23
| ~ spl20_202
| ~ spl20_209 ),
inference(superposition,[],[f1445,f1413]) ).
fof(f1988,plain,
( $false
| ~ spl20_202
| ~ spl20_209 ),
inference(forward_subsumption_resolution,[],[f1984,f263]) ).
fof(f1989,plain,
( ~ spl20_202
| ~ spl20_209 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f2004,plain,
( e21 = e22
| ~ spl20_146
| ~ spl20_185 ),
inference(superposition,[],[f1103,f1339]) ).
fof(f2005,plain,
( $false
| ~ spl20_146
| ~ spl20_185 ),
inference(forward_subsumption_resolution,[],[f2004,f264]) ).
fof(f2006,plain,
( ~ spl20_146
| ~ spl20_185 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2037,plain,
( e20 = e23
| ~ spl20_157
| ~ spl20_218 ),
inference(forward_demodulation,[],[f1485,f1165]) ).
fof(f2038,plain,
( $false
| ~ spl20_157
| ~ spl20_218 ),
inference(forward_subsumption_resolution,[],[f2037,f265]) ).
fof(f2039,plain,
( ~ spl20_157
| ~ spl20_218 ),
inference(avatar_contradiction_clause,[],[f2038]) ).
fof(f2044,plain,
( e20 = e23
| ~ spl20_202
| ~ spl20_213 ),
inference(superposition,[],[f1463,f1413]) ).
fof(f2048,plain,
( $false
| ~ spl20_202
| ~ spl20_213 ),
inference(forward_subsumption_resolution,[],[f2044,f265]) ).
fof(f2049,plain,
( ~ spl20_202
| ~ spl20_213 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2051,plain,
( e20 = e21
| ~ spl20_152
| ~ spl20_214 ),
inference(superposition,[],[f1467,f1135]) ).
fof(f2052,plain,
( e20 = e21
| ~ spl20_152
| ~ spl20_214 ),
inference(superposition,[],[f1135,f1467]) ).
fof(f2053,plain,
( $false
| ~ spl20_152
| ~ spl20_214 ),
inference(forward_subsumption_resolution,[],[f2052,f267]) ).
fof(f2054,plain,
( ~ spl20_152
| ~ spl20_214 ),
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2055,plain,
( $false
| ~ spl20_152
| ~ spl20_214 ),
inference(forward_subsumption_resolution,[],[f2051,f267]) ).
fof(f2056,plain,
( ~ spl20_152
| ~ spl20_214 ),
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2086,plain,
( e20 = e22
| ~ spl20_157
| ~ spl20_221 ),
inference(superposition,[],[f1499,f1165]) ).
fof(f2090,plain,
( $false
| ~ spl20_157
| ~ spl20_221 ),
inference(forward_subsumption_resolution,[],[f2086,f266]) ).
fof(f2091,plain,
( ~ spl20_157
| ~ spl20_221 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2114,plain,
( e22 = e23
| ~ spl20_149
| ~ spl20_202 ),
inference(superposition,[],[f1120,f1413]) ).
fof(f2118,plain,
( $false
| ~ spl20_149
| ~ spl20_202 ),
inference(forward_subsumption_resolution,[],[f2114,f262]) ).
fof(f2119,plain,
( ~ spl20_149
| ~ spl20_202 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2151,plain,
( e20 = e22
| ~ spl20_207
| ~ spl20_214 ),
inference(forward_demodulation,[],[f1467,f1435]) ).
fof(f2152,plain,
( $false
| ~ spl20_207
| ~ spl20_214 ),
inference(forward_subsumption_resolution,[],[f2151,f266]) ).
fof(f2153,plain,
( ~ spl20_207
| ~ spl20_214 ),
inference(avatar_contradiction_clause,[],[f2152]) ).
fof(f2250,plain,
( e22 = e23
| ~ spl20_226
| ~ spl20_227 ),
inference(superposition,[],[f1531,f1525]) ).
fof(f2255,plain,
( $false
| ~ spl20_226
| ~ spl20_227 ),
inference(forward_subsumption_resolution,[],[f2250,f262]) ).
fof(f2256,plain,
( ~ spl20_226
| ~ spl20_227 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2274,plain,
( e20 = e21
| ~ spl20_156
| ~ spl20_225 ),
inference(forward_demodulation,[],[f1156,f1520]) ).
fof(f2276,plain,
( $false
| ~ spl20_156
| ~ spl20_225 ),
inference(forward_subsumption_resolution,[],[f2274,f267]) ).
fof(f2277,plain,
( ~ spl20_156
| ~ spl20_225 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2350,plain,
( e22 = e23
| ~ spl20_218
| ~ spl20_221 ),
inference(superposition,[],[f1499,f1485]) ).
fof(f2355,plain,
( $false
| ~ spl20_218
| ~ spl20_221 ),
inference(forward_subsumption_resolution,[],[f2350,f262]) ).
fof(f2356,plain,
( ~ spl20_218
| ~ spl20_221 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2371,plain,
( e20 = e22
| ~ spl20_220
| ~ spl20_224 ),
inference(forward_demodulation,[],[f1515,f1495]) ).
fof(f2372,plain,
( $false
| ~ spl20_220
| ~ spl20_224 ),
inference(forward_subsumption_resolution,[],[f2371,f266]) ).
fof(f2373,plain,
( ~ spl20_220
| ~ spl20_224 ),
inference(avatar_contradiction_clause,[],[f2372]) ).
fof(f2406,plain,
( e20 = e21
| ~ spl20_212
| ~ spl20_216 ),
inference(superposition,[],[f1458,f1476]) ).
fof(f2409,plain,
( $false
| ~ spl20_212
| ~ spl20_216 ),
inference(forward_subsumption_resolution,[],[f2406,f267]) ).
fof(f2410,plain,
( ~ spl20_212
| ~ spl20_216 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2429,plain,
( e20 = e22
| ~ spl20_153
| ~ spl20_208 ),
inference(superposition,[],[f1439,f1141]) ).
fof(f2434,plain,
( $false
| ~ spl20_153
| ~ spl20_208 ),
inference(forward_subsumption_resolution,[],[f2429,f266]) ).
fof(f2435,plain,
( ~ spl20_153
| ~ spl20_208 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2441,plain,
( e20 = e22
| ~ spl20_150
| ~ spl20_215 ),
inference(forward_demodulation,[],[f1472,f1124]) ).
fof(f2442,plain,
( $false
| ~ spl20_150
| ~ spl20_215 ),
inference(forward_subsumption_resolution,[],[f2441,f266]) ).
fof(f2443,plain,
( ~ spl20_150
| ~ spl20_215 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2444,plain,
( e21 = e22
| ~ spl20_150
| ~ spl20_211 ),
inference(forward_demodulation,[],[f1454,f1124]) ).
fof(f2447,plain,
( $false
| ~ spl20_150
| ~ spl20_211 ),
inference(forward_subsumption_resolution,[],[f2444,f264]) ).
fof(f2448,plain,
( ~ spl20_150
| ~ spl20_211 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2534,plain,
( e12 = e13
| ~ spl20_230
| ~ spl20_233 ),
inference(superposition,[],[f1579,f1565]) ).
fof(f2539,plain,
( $false
| ~ spl20_230
| ~ spl20_233 ),
inference(forward_subsumption_resolution,[],[f2534,f256]) ).
fof(f2540,plain,
( ~ spl20_230
| ~ spl20_233 ),
inference(avatar_contradiction_clause,[],[f2539]) ).
fof(f2546,plain,
( e11 = e13
| ~ spl20_176
| ~ spl20_267 ),
inference(forward_demodulation,[],[f1730,f1276]) ).
fof(f2547,plain,
( $false
| ~ spl20_176
| ~ spl20_267 ),
inference(forward_subsumption_resolution,[],[f2546,f257]) ).
fof(f2548,plain,
( ~ spl20_176
| ~ spl20_267 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2572,plain,
( e12 = e13
| ~ spl20_163
| ~ spl20_236 ),
inference(superposition,[],[f1592,f1208]) ).
fof(f2576,plain,
( $false
| ~ spl20_163
| ~ spl20_236 ),
inference(forward_subsumption_resolution,[],[f2572,f256]) ).
fof(f2577,plain,
( ~ spl20_163
| ~ spl20_236 ),
inference(avatar_contradiction_clause,[],[f2576]) ).
fof(f2579,plain,
( e11 = e12
| ~ spl20_165
| ~ spl20_239 ),
inference(forward_demodulation,[],[f1605,f1218]) ).
fof(f2580,plain,
( $false
| ~ spl20_165
| ~ spl20_239 ),
inference(forward_subsumption_resolution,[],[f2579,f258]) ).
fof(f2581,plain,
( ~ spl20_165
| ~ spl20_239 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2591,plain,
( e10 = e11
| ~ spl20_173
| ~ spl20_258 ),
inference(forward_demodulation,[],[f1689,f1261]) ).
fof(f2592,plain,
( $false
| ~ spl20_173
| ~ spl20_258 ),
inference(forward_subsumption_resolution,[],[f2591,f261]) ).
fof(f2593,plain,
( ~ spl20_173
| ~ spl20_258 ),
inference(avatar_contradiction_clause,[],[f2592]) ).
fof(f2595,plain,
( e10 = e12
| ~ spl20_165
| ~ spl20_245 ),
inference(forward_demodulation,[],[f1631,f1218]) ).
fof(f2596,plain,
( $false
| ~ spl20_165
| ~ spl20_245 ),
inference(forward_subsumption_resolution,[],[f2595,f260]) ).
fof(f2597,plain,
( ~ spl20_165
| ~ spl20_245 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2607,plain,
( e10 = e11
| ~ spl20_238
| ~ spl20_244 ),
inference(superposition,[],[f1627,f1601]) ).
fof(f2611,plain,
( $false
| ~ spl20_238
| ~ spl20_244 ),
inference(forward_subsumption_resolution,[],[f2607,f261]) ).
fof(f2612,plain,
( ~ spl20_238
| ~ spl20_244 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2614,plain,
( e11 = e12
| ~ spl20_235
| ~ spl20_241 ),
inference(forward_demodulation,[],[f1614,f1588]) ).
fof(f2615,plain,
( $false
| ~ spl20_235
| ~ spl20_241 ),
inference(forward_subsumption_resolution,[],[f2614,f258]) ).
fof(f2616,plain,
( ~ spl20_235
| ~ spl20_241 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2617,plain,
( e12 = e13
| ~ spl20_164
| ~ spl20_237 ),
inference(superposition,[],[f1596,f1212]) ).
fof(f2621,plain,
( $false
| ~ spl20_164
| ~ spl20_237 ),
inference(forward_subsumption_resolution,[],[f2617,f256]) ).
fof(f2622,plain,
( ~ spl20_164
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f2621]) ).
fof(f2624,plain,
( e10 = e12
| ~ spl20_232
| ~ spl20_244 ),
inference(superposition,[],[f1575,f1627]) ).
fof(f2628,plain,
( $false
| ~ spl20_232
| ~ spl20_244 ),
inference(forward_subsumption_resolution,[],[f2624,f260]) ).
fof(f2629,plain,
( ~ spl20_232
| ~ spl20_244 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2649,plain,
( e11 = e13
| ~ spl20_163
| ~ spl20_242 ),
inference(superposition,[],[f1618,f1208]) ).
fof(f2653,plain,
( $false
| ~ spl20_163
| ~ spl20_242 ),
inference(forward_subsumption_resolution,[],[f2649,f257]) ).
fof(f2654,plain,
( ~ spl20_163
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2653]) ).
fof(f2656,plain,
( e11 = e13
| ~ spl20_166
| ~ spl20_230 ),
inference(superposition,[],[f1223,f1565]) ).
fof(f2660,plain,
( $false
| ~ spl20_166
| ~ spl20_230 ),
inference(forward_subsumption_resolution,[],[f2656,f257]) ).
fof(f2661,plain,
( ~ spl20_166
| ~ spl20_230 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
fof(f2699,plain,
( e11 = e12
| ~ spl20_172
| ~ spl20_255 ),
inference(superposition,[],[f1675,f1255]) ).
fof(f2703,plain,
( $false
| ~ spl20_172
| ~ spl20_255 ),
inference(forward_subsumption_resolution,[],[f2699,f258]) ).
fof(f2704,plain,
( ~ spl20_172
| ~ spl20_255 ),
inference(avatar_contradiction_clause,[],[f2703]) ).
fof(f2708,plain,
( e11 = e13
| ~ spl20_250
| ~ spl20_257 ),
inference(superposition,[],[f1685,f1653]) ).
fof(f2712,plain,
( $false
| ~ spl20_250
| ~ spl20_257 ),
inference(forward_subsumption_resolution,[],[f2708,f257]) ).
fof(f2713,plain,
( ~ spl20_250
| ~ spl20_257 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2716,plain,
( e10 = e13
| ~ spl20_250
| ~ spl20_261 ),
inference(superposition,[],[f1703,f1653]) ).
fof(f2720,plain,
( $false
| ~ spl20_250
| ~ spl20_261 ),
inference(forward_subsumption_resolution,[],[f2716,f259]) ).
fof(f2721,plain,
( ~ spl20_250
| ~ spl20_261 ),
inference(avatar_contradiction_clause,[],[f2720]) ).
fof(f2723,plain,
( e10 = e11
| ~ spl20_172
| ~ spl20_262 ),
inference(superposition,[],[f1707,f1255]) ).
fof(f2727,plain,
( $false
| ~ spl20_172
| ~ spl20_262 ),
inference(forward_subsumption_resolution,[],[f2723,f261]) ).
fof(f2728,plain,
( ~ spl20_172
| ~ spl20_262 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2729,plain,
( e11 = e13
| ~ spl20_162
| ~ spl20_241 ),
inference(forward_demodulation,[],[f1204,f1614]) ).
fof(f2733,plain,
( $false
| ~ spl20_162
| ~ spl20_241 ),
inference(forward_subsumption_resolution,[],[f2729,f257]) ).
fof(f2734,plain,
( ~ spl20_162
| ~ spl20_241 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2736,plain,
( e11 = e12
| ~ spl20_256
| ~ spl20_258 ),
inference(forward_demodulation,[],[f1689,f1679]) ).
fof(f2739,plain,
( $false
| ~ spl20_256
| ~ spl20_258 ),
inference(forward_subsumption_resolution,[],[f2736,f258]) ).
fof(f2740,plain,
( ~ spl20_256
| ~ spl20_258 ),
inference(avatar_contradiction_clause,[],[f2739]) ).
fof(f2742,plain,
( e12 = e13
| ~ spl20_169
| ~ spl20_250 ),
inference(superposition,[],[f1240,f1653]) ).
fof(f2746,plain,
( $false
| ~ spl20_169
| ~ spl20_250 ),
inference(forward_subsumption_resolution,[],[f2742,f256]) ).
fof(f2747,plain,
( ~ spl20_169
| ~ spl20_250 ),
inference(avatar_contradiction_clause,[],[f2746]) ).
fof(f2749,plain,
( e12 = e13
| ~ spl20_170
| ~ spl20_253 ),
inference(superposition,[],[f1244,f1666]) ).
fof(f2755,plain,
( $false
| ~ spl20_170
| ~ spl20_253 ),
inference(forward_subsumption_resolution,[],[f2749,f256]) ).
fof(f2756,plain,
( ~ spl20_170
| ~ spl20_253 ),
inference(avatar_contradiction_clause,[],[f2755]) ).
fof(f2772,plain,
( e10 = e12
| ~ spl20_255
| ~ spl20_262 ),
inference(superposition,[],[f1675,f1707]) ).
fof(f2776,plain,
( $false
| ~ spl20_255
| ~ spl20_262 ),
inference(forward_subsumption_resolution,[],[f2772,f260]) ).
fof(f2777,plain,
( ~ spl20_255
| ~ spl20_262 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2779,plain,
( e12 = e13
| ~ spl20_162
| ~ spl20_235 ),
inference(superposition,[],[f1588,f1204]) ).
fof(f2783,plain,
( $false
| ~ spl20_162
| ~ spl20_235 ),
inference(forward_subsumption_resolution,[],[f2779,f256]) ).
fof(f2784,plain,
( ~ spl20_162
| ~ spl20_235 ),
inference(avatar_contradiction_clause,[],[f2783]) ).
fof(f2822,plain,
( e11 = e12
| ~ spl20_170
| ~ spl20_259 ),
inference(forward_demodulation,[],[f1694,f1244]) ).
fof(f2823,plain,
( $false
| ~ spl20_170
| ~ spl20_259 ),
inference(forward_subsumption_resolution,[],[f2822,f258]) ).
fof(f2824,plain,
( ~ spl20_170
| ~ spl20_259 ),
inference(avatar_contradiction_clause,[],[f2823]) ).
fof(f2847,plain,
( e11 = e12
| ~ spl20_236
| ~ spl20_242 ),
inference(superposition,[],[f1592,f1618]) ).
fof(f2852,plain,
( $false
| ~ spl20_236
| ~ spl20_242 ),
inference(forward_subsumption_resolution,[],[f2847,f258]) ).
fof(f2853,plain,
( ~ spl20_236
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2869,plain,
( e10 = e12
| ~ spl20_173
| ~ spl20_256 ),
inference(superposition,[],[f1679,f1261]) ).
fof(f2874,plain,
( $false
| ~ spl20_173
| ~ spl20_256 ),
inference(forward_subsumption_resolution,[],[f2869,f260]) ).
fof(f2875,plain,
( ~ spl20_173
| ~ spl20_256 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2882,plain,
( e10 = e11
| ~ spl20_259
| ~ spl20_263 ),
inference(superposition,[],[f1712,f1694]) ).
fof(f2889,plain,
( $false
| ~ spl20_259
| ~ spl20_263 ),
inference(forward_subsumption_resolution,[],[f2882,f261]) ).
fof(f2890,plain,
( ~ spl20_259
| ~ spl20_263 ),
inference(avatar_contradiction_clause,[],[f2889]) ).
fof(f2951,plain,
( e10 = e13
| ~ spl20_265
| ~ spl20_272 ),
inference(superposition,[],[f1755,f1721]) ).
fof(f2955,plain,
( $false
| ~ spl20_265
| ~ spl20_272 ),
inference(forward_subsumption_resolution,[],[f2951,f259]) ).
fof(f2956,plain,
( ~ spl20_265
| ~ spl20_272 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2977,plain,
( e10 = e12
| ~ spl20_170
| ~ spl20_263 ),
inference(forward_demodulation,[],[f1712,f1244]) ).
fof(f2979,plain,
( $false
| ~ spl20_170
| ~ spl20_263 ),
inference(forward_subsumption_resolution,[],[f2977,f260]) ).
fof(f2980,plain,
( ~ spl20_170
| ~ spl20_263 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f3013,plain,
( e10 = e11
| ~ spl20_176
| ~ spl20_273 ),
inference(superposition,[],[f1760,f1276]) ).
fof(f3017,plain,
( $false
| ~ spl20_176
| ~ spl20_273 ),
inference(forward_subsumption_resolution,[],[f3013,f261]) ).
fof(f3018,plain,
( ~ spl20_176
| ~ spl20_273 ),
inference(avatar_contradiction_clause,[],[f3017]) ).
fof(f3019,plain,
( e10 = e12
| ~ spl20_268
| ~ spl20_272 ),
inference(forward_demodulation,[],[f1755,f1735]) ).
fof(f3021,plain,
( $false
| ~ spl20_268
| ~ spl20_272 ),
inference(forward_subsumption_resolution,[],[f3019,f260]) ).
fof(f3022,plain,
( ~ spl20_268
| ~ spl20_272 ),
inference(avatar_contradiction_clause,[],[f3021]) ).
fof(f3034,plain,
( e11 = e12
| ~ spl20_176
| ~ spl20_270 ),
inference(superposition,[],[f1744,f1276]) ).
fof(f3038,plain,
( $false
| ~ spl20_176
| ~ spl20_270 ),
inference(forward_subsumption_resolution,[],[f3034,f258]) ).
fof(f3039,plain,
( ~ spl20_176
| ~ spl20_270 ),
inference(avatar_contradiction_clause,[],[f3038]) ).
fof(f3117,plain,
( e10 = e12
| ~ spl20_167
| ~ spl20_234 ),
inference(superposition,[],[f1229,f1583]) ).
fof(f3118,plain,
( $false
| ~ spl20_167
| ~ spl20_234 ),
inference(forward_subsumption_resolution,[],[f3117,f260]) ).
fof(f3119,plain,
( ~ spl20_167
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3118]) ).
fof(f3149,plain,
( e11 = e13
| ~ spl20_266
| ~ spl20_271 ),
inference(superposition,[],[f1725,f1749]) ).
fof(f3151,plain,
( $false
| ~ spl20_266
| ~ spl20_271 ),
inference(forward_subsumption_resolution,[],[f3149,f257]) ).
fof(f3152,plain,
( ~ spl20_266
| ~ spl20_271 ),
inference(avatar_contradiction_clause,[],[f3151]) ).
fof(f3178,plain,
( e10 = e11
| ~ spl20_175
| ~ spl20_272 ),
inference(superposition,[],[f1755,f1272]) ).
fof(f3183,plain,
( $false
| ~ spl20_175
| ~ spl20_272 ),
inference(forward_subsumption_resolution,[],[f3178,f261]) ).
fof(f3184,plain,
( ~ spl20_175
| ~ spl20_272 ),
inference(avatar_contradiction_clause,[],[f3183]) ).
fof(f3196,plain,
( e10 = e13
| ~ spl20_254
| ~ spl20_264 ),
inference(forward_demodulation,[],[f1670,f1716]) ).
fof(f3198,plain,
( $false
| ~ spl20_254
| ~ spl20_264 ),
inference(forward_subsumption_resolution,[],[f3196,f259]) ).
fof(f3199,plain,
( ~ spl20_254
| ~ spl20_264 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3236,plain,
( e20 = e23
| ~ spl20_160
| ~ spl20_196 ),
inference(forward_demodulation,[],[f1188,f1387]) ).
fof(f3237,plain,
( $false
| ~ spl20_160
| ~ spl20_196 ),
inference(forward_subsumption_resolution,[],[f3236,f265]) ).
fof(f3238,plain,
( ~ spl20_160
| ~ spl20_196 ),
inference(avatar_contradiction_clause,[],[f3237]) ).
fof(f3246,plain,
( e23 = h3(e13)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f378,f1413]) ).
fof(f3247,plain,
( spl20_105
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f3246,f1411,f895]) ).
fof(f3252,plain,
( e10 != op1(e13,e12)
| ~ spl20_244 ),
inference(forward_demodulation,[],[f160,f1627]) ).
fof(f3254,plain,
( e10 = e13
| ~ spl20_180
| ~ spl20_244 ),
inference(forward_demodulation,[],[f1308,f1627]) ).
fof(f3255,plain,
( $false
| ~ spl20_180
| ~ spl20_244 ),
inference(forward_subsumption_resolution,[],[f3254,f259]) ).
fof(f3256,plain,
( ~ spl20_180
| ~ spl20_244 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
fof(f3258,plain,
( e10 != op1(e13,e11)
| ~ spl20_244 ),
inference(forward_demodulation,[],[f161,f1627]) ).
fof(f3264,plain,
( e13 != op1(e13,e10)
| ~ spl20_163 ),
inference(forward_demodulation,[],[f165,f1208]) ).
fof(f3286,plain,
( e11 != op1(e10,e11)
| ~ spl20_240 ),
inference(forward_demodulation,[],[f179,f1609]) ).
fof(f3288,plain,
( e10 != op1(e10,e11)
| ~ spl20_173 ),
inference(forward_demodulation,[],[f180,f1261]) ).
fof(f3296,plain,
( e10 != op1(e11,e13)
| ~ spl20_244 ),
inference(forward_demodulation,[],[f185,f1627]) ).
fof(f3308,plain,
( e13 != op1(e11,e12)
| ~ spl20_250 ),
inference(forward_demodulation,[],[f192,f1653]) ).
fof(f3316,plain,
( e13 != op1(e11,e11)
| ~ spl20_163 ),
inference(forward_demodulation,[],[f197,f1208]) ).
fof(f3334,plain,
( e20 != op2(e23,e22)
| ~ spl20_196 ),
inference(forward_demodulation,[],[f208,f1387]) ).
fof(f3340,plain,
( e20 != op2(e23,e20)
| ~ spl20_196 ),
inference(forward_demodulation,[],[f211,f1387]) ).
fof(f3343,plain,
( e23 != op2(e23,e20)
| ~ spl20_143 ),
inference(forward_demodulation,[],[f213,f1088]) ).
fof(f3353,plain,
( e22 != op2(e21,e21)
| ~ spl20_207 ),
inference(forward_demodulation,[],[f222,f1435]) ).
fof(f3359,plain,
( e21 != op2(e20,e22)
| ~ spl20_192 ),
inference(forward_demodulation,[],[f226,f1369]) ).
fof(f3366,plain,
( e20 != op2(e20,e20)
| ~ spl20_153 ),
inference(forward_demodulation,[],[f230,f1141]) ).
fof(f3371,plain,
( e20 != op2(e21,e23)
| ~ spl20_196 ),
inference(forward_demodulation,[],[f233,f1387]) ).
fof(f3373,plain,
( e22 != op2(e21,e23)
| ~ spl20_145 ),
inference(forward_demodulation,[],[f234,f1098]) ).
fof(f3403,plain,
( e10 = op1(e13,e13)
| ~ spl20_250 ),
inference(forward_demodulation,[],[f366,f1653]) ).
fof(f3404,plain,
( e20 = op2(e23,e23)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f369,f1413]) ).
fof(f3431,plain,
( op2(e23,e23) = h3(e10)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f380,f1413]) ).
fof(f3432,plain,
( e20 = h3(e10)
| ~ spl20_196
| ~ spl20_202 ),
inference(forward_demodulation,[],[f3431,f1387]) ).
fof(f3433,plain,
( spl20_46
| ~ spl20_196
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f3432,f1411,f1385,f638]) ).
fof(f3446,plain,
( e21 = op2(op2(e23,e23),e23)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f368,f1413]) ).
fof(f3447,plain,
( e21 = op2(e20,e23)
| ~ spl20_196
| ~ spl20_202 ),
inference(forward_demodulation,[],[f3446,f1387]) ).
fof(f3477,plain,
( h3(e11) = op2(op2(e23,e23),e23)
| ~ spl20_202 ),
inference(forward_demodulation,[],[f379,f1413]) ).
fof(f3478,plain,
( op2(e20,e23) = h3(e11)
| ~ spl20_196
| ~ spl20_202 ),
inference(forward_demodulation,[],[f3477,f1387]) ).
fof(f3479,plain,
( e21 = h3(e11)
| ~ spl20_192
| ~ spl20_196
| ~ spl20_202 ),
inference(forward_demodulation,[],[f3478,f1369]) ).
fof(f3480,plain,
( spl20_115
| ~ spl20_192
| ~ spl20_196
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f3479,f1411,f1385,f1367,f945]) ).
fof(f3482,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl20_34
| ~ spl20_115 ),
inference(superposition,[],[f589,f946]) ).
fof(f3483,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| spl20_34
| ~ spl20_110
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3482,f921]) ).
fof(f3486,plain,
( op2(e22,e21) != h3(e11)
| spl20_34
| ~ spl20_110
| ~ spl20_115
| ~ spl20_259 ),
inference(forward_demodulation,[],[f3483,f1694]) ).
fof(f3487,plain,
( e21 != op2(e22,e21)
| spl20_34
| ~ spl20_110
| ~ spl20_115
| ~ spl20_259 ),
inference(forward_demodulation,[],[f3486,f946]) ).
fof(f3490,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl20_28
| ~ spl20_105 ),
inference(forward_demodulation,[],[f565,f896]) ).
fof(f3492,plain,
( op2(e23,e23) != h3(e10)
| spl20_28
| ~ spl20_105
| ~ spl20_244 ),
inference(forward_demodulation,[],[f3490,f1627]) ).
fof(f3494,plain,
( e20 != op2(e23,e23)
| spl20_28
| ~ spl20_46
| ~ spl20_105
| ~ spl20_244 ),
inference(forward_demodulation,[],[f3492,f639]) ).
fof(f3496,plain,
( $false
| spl20_28
| ~ spl20_46
| ~ spl20_105
| ~ spl20_196
| ~ spl20_244 ),
inference(forward_subsumption_resolution,[],[f3494,f1387]) ).
fof(f3497,plain,
( spl20_28
| ~ spl20_46
| ~ spl20_105
| ~ spl20_196
| ~ spl20_244 ),
inference(avatar_contradiction_clause,[],[f3496]) ).
fof(f3500,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl20_30
| ~ spl20_115 ),
inference(forward_demodulation,[],[f573,f946]) ).
fof(f3502,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| spl20_30
| ~ spl20_105
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3500,f896]) ).
fof(f3504,plain,
( op2(e23,e21) != h3(e13)
| spl20_30
| ~ spl20_105
| ~ spl20_115
| ~ spl20_163 ),
inference(forward_demodulation,[],[f3502,f1208]) ).
fof(f3505,plain,
( e23 != op2(e23,e21)
| spl20_30
| ~ spl20_105
| ~ spl20_115
| ~ spl20_163 ),
inference(forward_demodulation,[],[f3504,f896]) ).
fof(f3506,plain,
( $false
| spl20_30
| ~ spl20_105
| ~ spl20_115
| ~ spl20_143
| ~ spl20_163 ),
inference(forward_subsumption_resolution,[],[f3505,f1088]) ).
fof(f3507,plain,
( spl20_30
| ~ spl20_105
| ~ spl20_115
| ~ spl20_143
| ~ spl20_163 ),
inference(avatar_contradiction_clause,[],[f3506]) ).
fof(f3508,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| spl20_29
| ~ spl20_110 ),
inference(forward_demodulation,[],[f569,f921]) ).
fof(f3510,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| spl20_29
| ~ spl20_105
| ~ spl20_110 ),
inference(forward_demodulation,[],[f3508,f896]) ).
fof(f3512,plain,
( op2(e23,e22) != h3(e11)
| spl20_29
| ~ spl20_105
| ~ spl20_110
| ~ spl20_241 ),
inference(forward_demodulation,[],[f3510,f1614]) ).
fof(f3514,plain,
( e21 != op2(e23,e22)
| spl20_29
| ~ spl20_105
| ~ spl20_110
| ~ spl20_115
| ~ spl20_241 ),
inference(forward_demodulation,[],[f3512,f946]) ).
fof(f3519,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl20_32
| ~ spl20_105 ),
inference(forward_demodulation,[],[f581,f896]) ).
fof(f3521,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| spl20_32
| ~ spl20_105
| ~ spl20_110 ),
inference(forward_demodulation,[],[f3519,f921]) ).
fof(f3523,plain,
( op2(e22,e23) != h3(e12)
| spl20_32
| ~ spl20_105
| ~ spl20_110
| ~ spl20_165 ),
inference(forward_demodulation,[],[f3521,f1218]) ).
fof(f3525,plain,
( e22 != op2(e22,e23)
| spl20_32
| ~ spl20_105
| ~ spl20_110
| ~ spl20_165 ),
inference(forward_demodulation,[],[f3523,f921]) ).
fof(f3526,plain,
( $false
| spl20_32
| ~ spl20_105
| ~ spl20_110
| ~ spl20_145
| ~ spl20_165 ),
inference(forward_subsumption_resolution,[],[f3525,f1098]) ).
fof(f3527,plain,
( spl20_32
| ~ spl20_105
| ~ spl20_110
| ~ spl20_145
| ~ spl20_165 ),
inference(avatar_contradiction_clause,[],[f3526]) ).
fof(f3528,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl20_31
| ~ spl20_46 ),
inference(forward_demodulation,[],[f577,f639]) ).
fof(f3530,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl20_31
| ~ spl20_46
| ~ spl20_105 ),
inference(forward_demodulation,[],[f3528,f896]) ).
fof(f3532,plain,
( op2(e23,e20) != h3(e12)
| spl20_31
| ~ spl20_46
| ~ spl20_105
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3530,f1596]) ).
fof(f3534,plain,
( e22 != op2(e23,e20)
| spl20_31
| ~ spl20_46
| ~ spl20_105
| ~ spl20_110
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3532,f921]) ).
fof(f3539,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl20_35
| ~ spl20_46 ),
inference(forward_demodulation,[],[f593,f639]) ).
fof(f3541,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| spl20_35
| ~ spl20_46
| ~ spl20_110 ),
inference(forward_demodulation,[],[f3539,f921]) ).
fof(f3543,plain,
( op2(e22,e20) != h3(e10)
| spl20_35
| ~ spl20_46
| ~ spl20_110
| ~ spl20_264 ),
inference(forward_demodulation,[],[f3541,f1716]) ).
fof(f3545,plain,
( e20 != op2(e22,e20)
| spl20_35
| ~ spl20_46
| ~ spl20_110
| ~ spl20_264 ),
inference(forward_demodulation,[],[f3543,f639]) ).
fof(f3548,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| spl20_33
| ~ spl20_110 ),
inference(forward_demodulation,[],[f585,f921]) ).
fof(f3550,plain,
( op2(e22,e22) != h3(e13)
| spl20_33
| ~ spl20_110
| ~ spl20_250 ),
inference(forward_demodulation,[],[f3548,f1653]) ).
fof(f3552,plain,
( e23 != op2(e22,e22)
| spl20_33
| ~ spl20_105
| ~ spl20_110
| ~ spl20_250 ),
inference(forward_demodulation,[],[f3550,f896]) ).
fof(f3554,plain,
( $false
| spl20_33
| ~ spl20_105
| ~ spl20_110
| ~ spl20_202
| ~ spl20_250 ),
inference(forward_subsumption_resolution,[],[f3552,f1413]) ).
fof(f3555,plain,
( spl20_33
| ~ spl20_105
| ~ spl20_110
| ~ spl20_202
| ~ spl20_250 ),
inference(avatar_contradiction_clause,[],[f3554]) ).
fof(f3558,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl20_36
| ~ spl20_105 ),
inference(forward_demodulation,[],[f597,f896]) ).
fof(f3560,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| spl20_36
| ~ spl20_105
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3558,f946]) ).
fof(f3562,plain,
( op2(e21,e23) != h3(e13)
| spl20_36
| ~ spl20_105
| ~ spl20_115
| ~ spl20_230 ),
inference(forward_demodulation,[],[f3560,f1565]) ).
fof(f3563,plain,
( e23 != op2(e21,e23)
| spl20_36
| ~ spl20_105
| ~ spl20_115
| ~ spl20_230 ),
inference(forward_demodulation,[],[f3562,f896]) ).
fof(f3564,plain,
( $false
| spl20_36
| ~ spl20_105
| ~ spl20_115
| ~ spl20_182
| ~ spl20_230 ),
inference(forward_subsumption_resolution,[],[f3563,f1325]) ).
fof(f3565,plain,
( spl20_36
| ~ spl20_105
| ~ spl20_115
| ~ spl20_182
| ~ spl20_230 ),
inference(avatar_contradiction_clause,[],[f3564]) ).
fof(f3567,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl20_38
| ~ spl20_115 ),
inference(forward_demodulation,[],[f605,f946]) ).
fof(f3569,plain,
( op2(e21,e21) != h3(e10)
| spl20_38
| ~ spl20_115
| ~ spl20_272 ),
inference(forward_demodulation,[],[f3567,f1755]) ).
fof(f3571,plain,
( e20 != op2(e21,e21)
| spl20_38
| ~ spl20_46
| ~ spl20_115
| ~ spl20_272 ),
inference(forward_demodulation,[],[f3569,f639]) ).
fof(f3573,plain,
( $false
| spl20_38
| ~ spl20_46
| ~ spl20_115
| ~ spl20_224
| ~ spl20_272 ),
inference(forward_subsumption_resolution,[],[f3571,f1515]) ).
fof(f3574,plain,
( spl20_38
| ~ spl20_46
| ~ spl20_115
| ~ spl20_224
| ~ spl20_272 ),
inference(avatar_contradiction_clause,[],[f3573]) ).
fof(f3575,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl20_37
| ~ spl20_110 ),
inference(forward_demodulation,[],[f601,f921]) ).
fof(f3577,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| spl20_37
| ~ spl20_110
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3575,f946]) ).
fof(f3579,plain,
( op2(e21,e22) != h3(e12)
| spl20_37
| ~ spl20_110
| ~ spl20_115
| ~ spl20_255 ),
inference(forward_demodulation,[],[f3577,f1675]) ).
fof(f3581,plain,
( e22 != op2(e21,e22)
| spl20_37
| ~ spl20_110
| ~ spl20_115
| ~ spl20_255 ),
inference(forward_demodulation,[],[f3579,f921]) ).
fof(f3585,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl20_40
| ~ spl20_105 ),
inference(forward_demodulation,[],[f613,f896]) ).
fof(f3587,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| spl20_40
| ~ spl20_46
| ~ spl20_105 ),
inference(forward_demodulation,[],[f3585,f639]) ).
fof(f3589,plain,
( op2(e20,e23) != h3(e11)
| spl20_40
| ~ spl20_46
| ~ spl20_105
| ~ spl20_240 ),
inference(forward_demodulation,[],[f3587,f1609]) ).
fof(f3591,plain,
( e21 != op2(e20,e23)
| spl20_40
| ~ spl20_46
| ~ spl20_105
| ~ spl20_115
| ~ spl20_240 ),
inference(forward_demodulation,[],[f3589,f946]) ).
fof(f3592,plain,
( $false
| spl20_40
| ~ spl20_46
| ~ spl20_105
| ~ spl20_115
| ~ spl20_192
| ~ spl20_240 ),
inference(forward_subsumption_resolution,[],[f3591,f1369]) ).
fof(f3593,plain,
( spl20_40
| ~ spl20_46
| ~ spl20_105
| ~ spl20_115
| ~ spl20_192
| ~ spl20_240 ),
inference(avatar_contradiction_clause,[],[f3592]) ).
fof(f3594,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl20_39
| ~ spl20_46 ),
inference(forward_demodulation,[],[f609,f639]) ).
fof(f3596,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl20_39
| ~ spl20_46
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3594,f946]) ).
fof(f3598,plain,
( op2(e21,e20) != h3(e11)
| spl20_39
| ~ spl20_46
| ~ spl20_115
| ~ spl20_176 ),
inference(forward_demodulation,[],[f3596,f1276]) ).
fof(f3600,plain,
( e21 != op2(e21,e20)
| spl20_39
| ~ spl20_46
| ~ spl20_115
| ~ spl20_176 ),
inference(forward_demodulation,[],[f3598,f946]) ).
fof(f3602,plain,
( $false
| spl20_39
| ~ spl20_46
| ~ spl20_115
| ~ spl20_156
| ~ spl20_176 ),
inference(forward_subsumption_resolution,[],[f3600,f1156]) ).
fof(f3603,plain,
( spl20_39
| ~ spl20_46
| ~ spl20_115
| ~ spl20_156
| ~ spl20_176 ),
inference(avatar_contradiction_clause,[],[f3602]) ).
fof(f3605,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl20_42
| ~ spl20_115 ),
inference(forward_demodulation,[],[f621,f946]) ).
fof(f3607,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl20_42
| ~ spl20_46
| ~ spl20_115 ),
inference(forward_demodulation,[],[f3605,f639]) ).
fof(f3609,plain,
( op2(e20,e21) != h3(e12)
| spl20_42
| ~ spl20_46
| ~ spl20_115
| ~ spl20_269 ),
inference(forward_demodulation,[],[f3607,f1739]) ).
fof(f3611,plain,
( e22 != op2(e20,e21)
| spl20_42
| ~ spl20_46
| ~ spl20_110
| ~ spl20_115
| ~ spl20_269 ),
inference(forward_demodulation,[],[f3609,f921]) ).
fof(f3612,plain,
( $false
| spl20_42
| ~ spl20_46
| ~ spl20_110
| ~ spl20_115
| ~ spl20_221
| ~ spl20_269 ),
inference(forward_subsumption_resolution,[],[f3611,f1499]) ).
fof(f3613,plain,
( spl20_42
| ~ spl20_46
| ~ spl20_110
| ~ spl20_115
| ~ spl20_221
| ~ spl20_269 ),
inference(avatar_contradiction_clause,[],[f3612]) ).
fof(f3614,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl20_41
| ~ spl20_110 ),
inference(forward_demodulation,[],[f617,f921]) ).
fof(f3616,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl20_41
| ~ spl20_46
| ~ spl20_110 ),
inference(forward_demodulation,[],[f3614,f639]) ).
fof(f3618,plain,
( op2(e20,e22) != h3(e10)
| spl20_41
| ~ spl20_46
| ~ spl20_110
| ~ spl20_173 ),
inference(forward_demodulation,[],[f3616,f1261]) ).
fof(f3620,plain,
( e20 != op2(e20,e22)
| spl20_41
| ~ spl20_46
| ~ spl20_110
| ~ spl20_173 ),
inference(forward_demodulation,[],[f3618,f639]) ).
fof(f3622,plain,
( $false
| spl20_41
| ~ spl20_46
| ~ spl20_110
| ~ spl20_153
| ~ spl20_173 ),
inference(forward_subsumption_resolution,[],[f3620,f1141]) ).
fof(f3623,plain,
( spl20_41
| ~ spl20_46
| ~ spl20_110
| ~ spl20_153
| ~ spl20_173 ),
inference(avatar_contradiction_clause,[],[f3622]) ).
fof(f3625,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl20_43
| ~ spl20_46 ),
inference(forward_demodulation,[],[f625,f639]) ).
fof(f3627,plain,
( op2(e20,e20) != h3(e13)
| spl20_43
| ~ spl20_46
| ~ spl20_274 ),
inference(forward_demodulation,[],[f3625,f1765]) ).
fof(f3629,plain,
( op2(e20,e20) != e23
| spl20_43
| ~ spl20_46
| ~ spl20_105
| ~ spl20_274 ),
inference(forward_demodulation,[],[f3627,f896]) ).
fof(f3631,plain,
( $false
| spl20_43
| ~ spl20_46
| ~ spl20_105
| ~ spl20_226
| ~ spl20_274 ),
inference(forward_subsumption_resolution,[],[f3629,f1525]) ).
fof(f3632,plain,
( spl20_43
| ~ spl20_46
| ~ spl20_105
| ~ spl20_226
| ~ spl20_274 ),
inference(avatar_contradiction_clause,[],[f3631]) ).
fof(f3637,plain,
( ~ spl20_211
| spl20_34
| ~ spl20_110
| ~ spl20_115
| ~ spl20_259 ),
inference(avatar_split_clause,[],[f3487,f1692,f945,f920,f587,f1452]) ).
fof(f3641,plain,
( e21 != op2(e22,e20)
| ~ spl20_156 ),
inference(forward_demodulation,[],[f252,f1156]) ).
fof(f3654,plain,
( ~ spl20_212
| ~ spl20_156 ),
inference(avatar_split_clause,[],[f3641,f1155,f1456]) ).
fof(f3664,plain,
( ~ spl20_216
| spl20_35
| ~ spl20_46
| ~ spl20_110
| ~ spl20_264 ),
inference(avatar_split_clause,[],[f3545,f1714,f920,f638,f591,f1474]) ).
fof(f3679,plain,
( spl20_196
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f3404,f1411,f1385]) ).
fof(f3687,plain,
( ~ spl20_185
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f3373,f1096,f1337]) ).
fof(f3693,plain,
( ~ spl20_144
| ~ spl20_143 ),
inference(avatar_split_clause,[],[f3343,f1087,f1091]) ).
fof(f3718,plain,
( ~ spl20_159
| ~ spl20_153 ),
inference(avatar_split_clause,[],[f3366,f1139,f1175]) ).
fof(f3724,plain,
( ~ spl20_210
| ~ spl20_192 ),
inference(avatar_split_clause,[],[f3359,f1367,f1447]) ).
fof(f3728,plain,
( ~ spl20_201
| ~ spl20_196 ),
inference(avatar_split_clause,[],[f3340,f1385,f1406]) ).
fof(f3729,plain,
( spl20_192
| ~ spl20_196
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f3447,f1411,f1385,f1367]) ).
fof(f3731,plain,
( ~ spl20_198
| ~ spl20_196 ),
inference(avatar_split_clause,[],[f3371,f1385,f1393]) ).
fof(f3733,plain,
( ~ spl20_220
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f3353,f1433,f1493]) ).
fof(f3741,plain,
( ~ spl20_271
| ~ spl20_240 ),
inference(avatar_split_clause,[],[f3286,f1607,f1747]) ).
fof(f3744,plain,
( ~ spl20_251
| ~ spl20_250 ),
inference(avatar_split_clause,[],[f3308,f1651,f1655]) ).
fof(f3747,plain,
( spl20_244
| ~ spl20_250 ),
inference(avatar_split_clause,[],[f3403,f1651,f1625]) ).
fof(f3781,plain,
( ~ spl20_189
| spl20_31
| ~ spl20_46
| ~ spl20_105
| ~ spl20_110
| ~ spl20_237 ),
inference(avatar_split_clause,[],[f3534,f1594,f920,f895,f638,f575,f1354]) ).
fof(f3784,plain,
( ~ spl20_207
| spl20_37
| ~ spl20_110
| ~ spl20_115
| ~ spl20_255 ),
inference(avatar_split_clause,[],[f3581,f1673,f945,f920,f599,f1433]) ).
fof(f3788,plain,
( ~ spl20_164
| ~ spl20_163 ),
inference(avatar_split_clause,[],[f3264,f1207,f1211]) ).
fof(f3789,plain,
( ~ spl20_265
| ~ spl20_163 ),
inference(avatar_split_clause,[],[f3316,f1207,f1719]) ).
fof(f3790,plain,
( ~ spl20_177
| ~ spl20_173 ),
inference(avatar_split_clause,[],[f3288,f1259,f1283]) ).
fof(f3805,plain,
( ~ spl20_247
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f3252,f1625,f1638]) ).
fof(f3806,plain,
( ~ spl20_248
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f3258,f1625,f1642]) ).
fof(f3810,plain,
( ~ spl20_246
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f3296,f1625,f1633]) ).
fof(f3821,plain,
( ~ spl20_199
| ~ spl20_196 ),
inference(avatar_split_clause,[],[f3334,f1385,f1398]) ).
fof(f3828,plain,
( ~ spl20_193
| spl20_29
| ~ spl20_105
| ~ spl20_110
| ~ spl20_115
| ~ spl20_241 ),
inference(avatar_split_clause,[],[f3514,f1612,f945,f920,f895,f567,f1372]) ).
fof(f3893,plain,
( e21 = e22
| ~ spl20_156
| ~ spl20_222 ),
inference(superposition,[],[f1504,f1156]) ).
fof(f3897,plain,
( $false
| ~ spl20_156
| ~ spl20_222 ),
inference(forward_subsumption_resolution,[],[f3893,f264]) ).
fof(f3898,plain,
( ~ spl20_156
| ~ spl20_222 ),
inference(avatar_contradiction_clause,[],[f3897]) ).
cnf(s8,plain,
( spl20_24
| spl20_25
| spl20_26
| ~ spl20_28
| ~ spl20_29
| ~ spl20_30
| ~ spl20_31
| ~ spl20_32
| ~ spl20_33
| ~ spl20_34
| ~ spl20_35
| ~ spl20_36
| ~ spl20_37
| ~ spl20_38
| ~ spl20_39
| ~ spl20_40
| ~ spl20_41
| ~ spl20_42
| ~ spl20_43
| ~ spl20_46 ),
inference(sat_conversion,[],[f641]) ).
cnf(s29,plain,
( ~ spl20_24
| ~ spl20_105 ),
inference(sat_conversion,[],[f898]) ).
cnf(s34,plain,
( ~ spl20_25
| ~ spl20_110 ),
inference(sat_conversion,[],[f923]) ).
cnf(s39,plain,
( ~ spl20_26
| ~ spl20_115 ),
inference(sat_conversion,[],[f948]) ).
cnf(s66,plain,
spl20_110,
inference(sat_conversion,[],[f1075]) ).
cnf(s76,plain,
( spl20_141
| spl20_145
| spl20_146
| spl20_147 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s84,plain,
( spl20_148
| spl20_149
| spl20_152
| spl20_153 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s90,plain,
( spl20_150
| spl20_154
| ~ spl20_155
| spl20_157 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s92,plain,
( spl20_150
| spl20_154
| spl20_155
| spl20_157 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s99,plain,
( ~ spl20_153
| spl20_156
| spl20_158
| spl20_159 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s102,plain,
( ~ spl20_141
| spl20_160 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s103,plain,
( ~ spl20_145
| ~ spl20_148 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s106,plain,
( spl20_143
| ~ spl20_154 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s108,plain,
( spl20_144
| ~ spl20_158 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s114,plain,
( spl20_161
| ~ spl20_163
| spl20_165
| spl20_167 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s124,plain,
( spl20_168
| spl20_169
| spl20_172
| spl20_173 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s129,plain,
( ~ spl20_172
| spl20_174
| ~ spl20_175
| spl20_177 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s130,plain,
( spl20_170
| spl20_174
| ~ spl20_175
| spl20_177 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s131,plain,
( ~ spl20_172
| spl20_174
| spl20_175
| spl20_177 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s132,plain,
( spl20_170
| spl20_174
| spl20_175
| spl20_177 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s135,plain,
( ~ spl20_173
| spl20_176
| spl20_178
| ~ spl20_179 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s139,plain,
( ~ spl20_173
| spl20_176
| spl20_178
| spl20_179 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s142,plain,
( ~ spl20_161
| spl20_180 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s144,plain,
( spl20_162
| ~ spl20_168 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s146,plain,
( spl20_163
| ~ spl20_174 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s148,plain,
( spl20_164
| ~ spl20_178 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s149,plain,
( spl20_160
| spl20_181
| spl20_182
| spl20_183 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s151,plain,
( spl20_145
| spl20_184
| spl20_185
| spl20_186 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s152,plain,
( spl20_184
| spl20_187
| spl20_188
| spl20_189 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s159,plain,
( spl20_149
| spl20_187
| spl20_207
| spl20_208 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s161,plain,
( spl20_152
| spl20_193
| spl20_209
| spl20_210 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s162,plain,
( spl20_191
| spl20_209
| spl20_211
| spl20_212 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s163,plain,
( spl20_153
| spl20_199
| spl20_213
| spl20_214 ),
inference(sat_conversion,[],[f1468]) ).
cnf(s164,plain,
( spl20_197
| spl20_213
| spl20_215
| spl20_216 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s167,plain,
( spl20_150
| spl20_188
| spl20_220
| spl20_221 ),
inference(sat_conversion,[],[f1500]) ).
cnf(s168,plain,
( spl20_185
| spl20_207
| spl20_220
| spl20_222 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s172,plain,
( spl20_198
| spl20_214
| spl20_224
| spl20_225 ),
inference(sat_conversion,[],[f1521]) ).
cnf(s174,plain,
( spl20_183
| spl20_204
| spl20_218
| spl20_226 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s176,plain,
( spl20_186
| spl20_208
| spl20_221
| spl20_227 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s179,plain,
( spl20_159
| spl20_201
| spl20_216
| spl20_225 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s198,plain,
( spl20_162
| spl20_163
| spl20_164
| spl20_180 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s199,plain,
( spl20_165
| spl20_232
| spl20_233
| spl20_234 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s200,plain,
( spl20_232
| spl20_235
| spl20_236
| spl20_237 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s201,plain,
( spl20_166
| spl20_238
| spl20_239
| spl20_240 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s207,plain,
( spl20_169
| spl20_235
| spl20_255
| spl20_256 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s209,plain,
( spl20_172
| spl20_241
| spl20_257
| spl20_258 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s211,plain,
( spl20_173
| spl20_247
| spl20_261
| spl20_262 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s212,plain,
( spl20_245
| spl20_261
| spl20_263
| spl20_264 ),
inference(sat_conversion,[],[f1717]) ).
cnf(s213,plain,
( spl20_163
| spl20_253
| spl20_265
| spl20_266 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s214,plain,
( spl20_230
| spl20_251
| spl20_265
| spl20_267 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s215,plain,
( spl20_170
| spl20_236
| spl20_268
| spl20_269 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s216,plain,
( spl20_233
| spl20_255
| spl20_268
| spl20_270 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s217,plain,
( spl20_175
| spl20_242
| spl20_259
| spl20_271 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s219,plain,
( spl20_177
| spl20_248
| spl20_263
| spl20_272 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s220,plain,
( spl20_246
| spl20_262
| spl20_272
| spl20_273 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s221,plain,
( spl20_164
| spl20_254
| spl20_267
| spl20_274 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s245,plain,
spl20_250,
inference(sat_conversion,[],[f1798]) ).
cnf(s246,plain,
spl20_202,
inference(sat_conversion,[],[f1799]) ).
cnf(s252,plain,
( ~ spl20_153
| ~ spl20_204 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s254,plain,
( ~ spl20_143
| ~ spl20_188 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s255,plain,
( ~ spl20_145
| ~ spl20_191 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s256,plain,
( ~ spl20_186
| ~ spl20_192 ),
inference(sat_conversion,[],[f1842]) ).
cnf(s257,plain,
( ~ spl20_145
| ~ spl20_197 ),
inference(sat_conversion,[],[f1848]) ).
cnf(s261,plain,
( ~ spl20_147
| ~ spl20_192 ),
inference(sat_conversion,[],[f1865]) ).
cnf(s266,plain,
( ~ spl20_187
| ~ spl20_193 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s268,plain,
( ~ spl20_184
| ~ spl20_196 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s273,plain,
( ~ spl20_145
| ~ spl20_181 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s275,plain,
( ~ spl20_183
| ~ spl20_192 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s287,plain,
( ~ spl20_152
| ~ spl20_207 ),
inference(sat_conversion,[],[f1974]) ).
cnf(s291,plain,
( ~ spl20_202
| ~ spl20_209 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s294,plain,
( ~ spl20_146
| ~ spl20_185 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s299,plain,
( ~ spl20_157
| ~ spl20_218 ),
inference(sat_conversion,[],[f2039]) ).
cnf(s301,plain,
( ~ spl20_202
| ~ spl20_213 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s302,plain,
( ~ spl20_152
| ~ spl20_214 ),
inference(sat_conversion,[],[f2054]) ).
cnf(s303,plain,
( ~ spl20_152
| ~ spl20_214 ),
inference(sat_conversion,[],[f2056]) ).
cnf(s309,plain,
( ~ spl20_157
| ~ spl20_221 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s316,plain,
( ~ spl20_149
| ~ spl20_202 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s319,plain,
( ~ spl20_207
| ~ spl20_214 ),
inference(sat_conversion,[],[f2153]) ).
cnf(s337,plain,
( ~ spl20_226
| ~ spl20_227 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s341,plain,
( ~ spl20_156
| ~ spl20_225 ),
inference(sat_conversion,[],[f2277]) ).
cnf(s348,plain,
( ~ spl20_218
| ~ spl20_221 ),
inference(sat_conversion,[],[f2356]) ).
cnf(s352,plain,
( ~ spl20_220
| ~ spl20_224 ),
inference(sat_conversion,[],[f2373]) ).
cnf(s354,plain,
( ~ spl20_212
| ~ spl20_216 ),
inference(sat_conversion,[],[f2410]) ).
cnf(s357,plain,
( ~ spl20_153
| ~ spl20_208 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s358,plain,
( ~ spl20_150
| ~ spl20_215 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s359,plain,
( ~ spl20_150
| ~ spl20_211 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s367,plain,
( ~ spl20_230
| ~ spl20_233 ),
inference(sat_conversion,[],[f2540]) ).
cnf(s369,plain,
( ~ spl20_176
| ~ spl20_267 ),
inference(sat_conversion,[],[f2548]) ).
cnf(s376,plain,
( ~ spl20_163
| ~ spl20_236 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s377,plain,
( ~ spl20_165
| ~ spl20_239 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s380,plain,
( ~ spl20_173
| ~ spl20_258 ),
inference(sat_conversion,[],[f2593]) ).
cnf(s381,plain,
( ~ spl20_165
| ~ spl20_245 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s385,plain,
( ~ spl20_238
| ~ spl20_244 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s386,plain,
( ~ spl20_235
| ~ spl20_241 ),
inference(sat_conversion,[],[f2616]) ).
cnf(s388,plain,
( ~ spl20_164
| ~ spl20_237 ),
inference(sat_conversion,[],[f2622]) ).
cnf(s390,plain,
( ~ spl20_232
| ~ spl20_244 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s395,plain,
( ~ spl20_163
| ~ spl20_242 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s397,plain,
( ~ spl20_166
| ~ spl20_230 ),
inference(sat_conversion,[],[f2661]) ).
cnf(s403,plain,
( ~ spl20_172
| ~ spl20_255 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s405,plain,
( ~ spl20_250
| ~ spl20_257 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s407,plain,
( ~ spl20_250
| ~ spl20_261 ),
inference(sat_conversion,[],[f2721]) ).
cnf(s409,plain,
( ~ spl20_172
| ~ spl20_262 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s410,plain,
( ~ spl20_162
| ~ spl20_241 ),
inference(sat_conversion,[],[f2734]) ).
cnf(s412,plain,
( ~ spl20_256
| ~ spl20_258 ),
inference(sat_conversion,[],[f2740]) ).
cnf(s414,plain,
( ~ spl20_169
| ~ spl20_250 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s416,plain,
( ~ spl20_170
| ~ spl20_253 ),
inference(sat_conversion,[],[f2756]) ).
cnf(s420,plain,
( ~ spl20_255
| ~ spl20_262 ),
inference(sat_conversion,[],[f2777]) ).
cnf(s422,plain,
( ~ spl20_162
| ~ spl20_235 ),
inference(sat_conversion,[],[f2784]) ).
cnf(s430,plain,
( ~ spl20_170
| ~ spl20_259 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s437,plain,
( ~ spl20_236
| ~ spl20_242 ),
inference(sat_conversion,[],[f2853]) ).
cnf(s440,plain,
( ~ spl20_173
| ~ spl20_256 ),
inference(sat_conversion,[],[f2875]) ).
cnf(s442,plain,
( ~ spl20_259
| ~ spl20_263 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s455,plain,
( ~ spl20_265
| ~ spl20_272 ),
inference(sat_conversion,[],[f2956]) ).
cnf(s459,plain,
( ~ spl20_170
| ~ spl20_263 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s463,plain,
( ~ spl20_176
| ~ spl20_273 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s464,plain,
( ~ spl20_268
| ~ spl20_272 ),
inference(sat_conversion,[],[f3022]) ).
cnf(s468,plain,
( ~ spl20_176
| ~ spl20_270 ),
inference(sat_conversion,[],[f3039]) ).
cnf(s477,plain,
( ~ spl20_167
| ~ spl20_234 ),
inference(sat_conversion,[],[f3119]) ).
cnf(s480,plain,
( ~ spl20_266
| ~ spl20_271 ),
inference(sat_conversion,[],[f3152]) ).
cnf(s485,plain,
( ~ spl20_175
| ~ spl20_272 ),
inference(sat_conversion,[],[f3184]) ).
cnf(s488,plain,
( ~ spl20_254
| ~ spl20_264 ),
inference(sat_conversion,[],[f3199]) ).
cnf(s493,plain,
( ~ spl20_160
| ~ spl20_196 ),
inference(sat_conversion,[],[f3238]) ).
cnf(s496,plain,
( spl20_105
| ~ spl20_202 ),
inference(sat_conversion,[],[f3247]) ).
cnf(s498,plain,
( ~ spl20_180
| ~ spl20_244 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s506,plain,
( spl20_46
| ~ spl20_196
| ~ spl20_202 ),
inference(sat_conversion,[],[f3433]) ).
cnf(s515,plain,
( spl20_115
| ~ spl20_192
| ~ spl20_196
| ~ spl20_202 ),
inference(sat_conversion,[],[f3480]) ).
cnf(s518,plain,
( spl20_28
| ~ spl20_46
| ~ spl20_105
| ~ spl20_196
| ~ spl20_244 ),
inference(sat_conversion,[],[f3497]) ).
cnf(s519,plain,
( spl20_30
| ~ spl20_105
| ~ spl20_115
| ~ spl20_143
| ~ spl20_163 ),
inference(sat_conversion,[],[f3507]) ).
cnf(s521,plain,
( spl20_32
| ~ spl20_105
| ~ spl20_110
| ~ spl20_145
| ~ spl20_165 ),
inference(sat_conversion,[],[f3527]) ).
cnf(s524,plain,
( spl20_33
| ~ spl20_105
| ~ spl20_110
| ~ spl20_202
| ~ spl20_250 ),
inference(sat_conversion,[],[f3555]) ).
cnf(s525,plain,
( spl20_36
| ~ spl20_105
| ~ spl20_115
| ~ spl20_182
| ~ spl20_230 ),
inference(sat_conversion,[],[f3565]) ).
cnf(s526,plain,
( spl20_38
| ~ spl20_46
| ~ spl20_115
| ~ spl20_224
| ~ spl20_272 ),
inference(sat_conversion,[],[f3574]) ).
cnf(s528,plain,
( spl20_40
| ~ spl20_46
| ~ spl20_105
| ~ spl20_115
| ~ spl20_192
| ~ spl20_240 ),
inference(sat_conversion,[],[f3593]) ).
cnf(s529,plain,
( spl20_39
| ~ spl20_46
| ~ spl20_115
| ~ spl20_156
| ~ spl20_176 ),
inference(sat_conversion,[],[f3603]) ).
cnf(s530,plain,
( spl20_42
| ~ spl20_46
| ~ spl20_110
| ~ spl20_115
| ~ spl20_221
| ~ spl20_269 ),
inference(sat_conversion,[],[f3613]) ).
cnf(s531,plain,
( spl20_41
| ~ spl20_46
| ~ spl20_110
| ~ spl20_153
| ~ spl20_173 ),
inference(sat_conversion,[],[f3623]) ).
cnf(s532,plain,
( spl20_43
| ~ spl20_46
| ~ spl20_105
| ~ spl20_226
| ~ spl20_274 ),
inference(sat_conversion,[],[f3632]) ).
cnf(s533,plain,
( spl20_34
| ~ spl20_110
| ~ spl20_115
| ~ spl20_211
| ~ spl20_259 ),
inference(sat_conversion,[],[f3637]) ).
cnf(s538,plain,
( ~ spl20_156
| ~ spl20_212 ),
inference(sat_conversion,[],[f3654]) ).
cnf(s544,plain,
( spl20_35
| ~ spl20_46
| ~ spl20_110
| ~ spl20_216
| ~ spl20_264 ),
inference(sat_conversion,[],[f3664]) ).
cnf(s549,plain,
( spl20_196
| ~ spl20_202 ),
inference(sat_conversion,[],[f3679]) ).
cnf(s553,plain,
( ~ spl20_145
| ~ spl20_185 ),
inference(sat_conversion,[],[f3687]) ).
cnf(s559,plain,
( ~ spl20_143
| ~ spl20_144 ),
inference(sat_conversion,[],[f3693]) ).
cnf(s574,plain,
( ~ spl20_153
| ~ spl20_159 ),
inference(sat_conversion,[],[f3718]) ).
cnf(s582,plain,
( ~ spl20_192
| ~ spl20_210 ),
inference(sat_conversion,[],[f3724]) ).
cnf(s584,plain,
( ~ spl20_196
| ~ spl20_201 ),
inference(sat_conversion,[],[f3728]) ).
cnf(s585,plain,
( spl20_192
| ~ spl20_196
| ~ spl20_202 ),
inference(sat_conversion,[],[f3729]) ).
cnf(s586,plain,
( ~ spl20_196
| ~ spl20_198 ),
inference(sat_conversion,[],[f3731]) ).
cnf(s588,plain,
( ~ spl20_207
| ~ spl20_220 ),
inference(sat_conversion,[],[f3733]) ).
cnf(s597,plain,
( ~ spl20_240
| ~ spl20_271 ),
inference(sat_conversion,[],[f3741]) ).
cnf(s599,plain,
( ~ spl20_250
| ~ spl20_251 ),
inference(sat_conversion,[],[f3744]) ).
cnf(s600,plain,
( spl20_244
| ~ spl20_250 ),
inference(sat_conversion,[],[f3747]) ).
cnf(s614,plain,
( spl20_31
| ~ spl20_46
| ~ spl20_105
| ~ spl20_110
| ~ spl20_189
| ~ spl20_237 ),
inference(sat_conversion,[],[f3781]) ).
cnf(s615,plain,
( spl20_37
| ~ spl20_110
| ~ spl20_115
| ~ spl20_207
| ~ spl20_255 ),
inference(sat_conversion,[],[f3784]) ).
cnf(s617,plain,
( ~ spl20_163
| ~ spl20_164 ),
inference(sat_conversion,[],[f3788]) ).
cnf(s618,plain,
( ~ spl20_163
| ~ spl20_265 ),
inference(sat_conversion,[],[f3789]) ).
cnf(s620,plain,
( ~ spl20_173
| ~ spl20_177 ),
inference(sat_conversion,[],[f3790]) ).
cnf(s632,plain,
( ~ spl20_244
| ~ spl20_247 ),
inference(sat_conversion,[],[f3805]) ).
cnf(s633,plain,
( ~ spl20_244
| ~ spl20_248 ),
inference(sat_conversion,[],[f3806]) ).
cnf(s637,plain,
( ~ spl20_244
| ~ spl20_246 ),
inference(sat_conversion,[],[f3810]) ).
cnf(s644,plain,
( ~ spl20_196
| ~ spl20_199 ),
inference(sat_conversion,[],[f3821]) ).
cnf(s653,plain,
( spl20_29
| ~ spl20_105
| ~ spl20_110
| ~ spl20_115
| ~ spl20_193
| ~ spl20_241 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s660,plain,
( ~ spl20_156
| ~ spl20_222 ),
inference(sat_conversion,[],[f3898]) ).
cnf(s661,plain,
spl20_196,
inference(rat,[],[s549,s246]) ).
cnf(s662,plain,
spl20_105,
inference(rat,[],[s496,s246]) ).
cnf(s663,plain,
~ spl20_149,
inference(rat,[],[s316,s246]) ).
cnf(s664,plain,
~ spl20_213,
inference(rat,[],[s301,s246]) ).
cnf(s665,plain,
~ spl20_209,
inference(rat,[],[s291,s246]) ).
cnf(s666,plain,
~ spl20_199,
inference(rat,[],[s644,s661]) ).
cnf(s667,plain,
~ spl20_198,
inference(rat,[],[s586,s661]) ).
cnf(s668,plain,
spl20_192,
inference(rat,[],[s585,s246,s661]) ).
cnf(s669,plain,
~ spl20_201,
inference(rat,[],[s584,s661]) ).
cnf(s670,plain,
spl20_46,
inference(rat,[],[s506,s246,s661]) ).
cnf(s672,plain,
~ spl20_160,
inference(rat,[],[s493,s661]) ).
cnf(s673,plain,
~ spl20_184,
inference(rat,[],[s268,s661]) ).
cnf(s676,plain,
~ spl20_210,
inference(rat,[],[s582,s668]) ).
cnf(s678,plain,
spl20_115,
inference(rat,[],[s515,s246,s661,s668]) ).
cnf(s679,plain,
~ spl20_183,
inference(rat,[],[s275,s668]) ).
cnf(s680,plain,
~ spl20_147,
inference(rat,[],[s261,s668]) ).
cnf(s681,plain,
~ spl20_186,
inference(rat,[],[s256,s668]) ).
cnf(s682,plain,
spl20_244,
inference(rat,[],[s600,s245]) ).
cnf(s683,plain,
~ spl20_251,
inference(rat,[],[s599,s245]) ).
cnf(s684,plain,
~ spl20_169,
inference(rat,[],[s414,s245]) ).
cnf(s685,plain,
~ spl20_261,
inference(rat,[],[s407,s245]) ).
cnf(s686,plain,
~ spl20_257,
inference(rat,[],[s405,s245]) ).
cnf(s687,plain,
~ spl20_246,
inference(rat,[],[s637,s682]) ).
cnf(s689,plain,
~ spl20_248,
inference(rat,[],[s633,s682]) ).
cnf(s690,plain,
~ spl20_247,
inference(rat,[],[s632,s682]) ).
cnf(s691,plain,
~ spl20_180,
inference(rat,[],[s498,s682]) ).
cnf(s692,plain,
~ spl20_232,
inference(rat,[],[s390,s682]) ).
cnf(s693,plain,
~ spl20_238,
inference(rat,[],[s385,s682]) ).
cnf(s694,plain,
spl20_28,
inference(rat,[],[s518,s670,s661,s662,s682]) ).
cnf(s701,plain,
( spl20_262
| spl20_272
| spl20_273 ),
inference(rat,[],[s220,s687]) ).
cnf(s702,plain,
( spl20_177
| spl20_263
| spl20_272 ),
inference(rat,[],[s219,s689]) ).
cnf(s703,plain,
( spl20_230
| spl20_265
| spl20_267 ),
inference(rat,[],[s214,s683]) ).
cnf(s704,plain,
( spl20_245
| spl20_263
| spl20_264 ),
inference(rat,[],[s212,s685]) ).
cnf(s705,plain,
( spl20_173
| spl20_262 ),
inference(rat,[],[s211,s685,s690]) ).
cnf(s707,plain,
( spl20_172
| spl20_241
| spl20_258 ),
inference(rat,[],[s209,s686]) ).
cnf(s709,plain,
( spl20_235
| spl20_255
| spl20_256 ),
inference(rat,[],[s207,s684]) ).
cnf(s711,plain,
( spl20_166
| spl20_239
| spl20_240 ),
inference(rat,[],[s201,s693]) ).
cnf(s712,plain,
( spl20_235
| spl20_236
| spl20_237 ),
inference(rat,[],[s200,s692]) ).
cnf(s713,plain,
( spl20_165
| spl20_233
| spl20_234 ),
inference(rat,[],[s199,s692]) ).
cnf(s714,plain,
( spl20_162
| spl20_163
| spl20_164 ),
inference(rat,[],[s198,s691]) ).
cnf(s723,plain,
( spl20_159
| spl20_216
| spl20_225 ),
inference(rat,[],[s179,s669]) ).
cnf(s725,plain,
( spl20_208
| spl20_221
| spl20_227 ),
inference(rat,[],[s176,s681]) ).
cnf(s726,plain,
( spl20_204
| spl20_218
| spl20_226 ),
inference(rat,[],[s174,s679]) ).
cnf(s727,plain,
( spl20_214
| spl20_224
| spl20_225 ),
inference(rat,[],[s172,s667]) ).
cnf(s729,plain,
( spl20_197
| spl20_215
| spl20_216 ),
inference(rat,[],[s164,s664]) ).
cnf(s730,plain,
( spl20_153
| spl20_214 ),
inference(rat,[],[s163,s664,s666]) ).
cnf(s731,plain,
( spl20_191
| spl20_211
| spl20_212 ),
inference(rat,[],[s162,s665]) ).
cnf(s732,plain,
( spl20_152
| spl20_193 ),
inference(rat,[],[s161,s676,s665]) ).
cnf(s734,plain,
( spl20_187
| spl20_207
| spl20_208 ),
inference(rat,[],[s159,s663]) ).
cnf(s736,plain,
( spl20_187
| spl20_188
| spl20_189 ),
inference(rat,[],[s152,s673]) ).
cnf(s737,plain,
( spl20_145
| spl20_185 ),
inference(rat,[],[s151,s681,s673]) ).
cnf(s739,plain,
( spl20_181
| spl20_182 ),
inference(rat,[],[s149,s679,s672]) ).
cnf(s740,plain,
~ spl20_161,
inference(rat,[],[s142,s691]) ).
cnf(s741,plain,
( spl20_168
| spl20_172
| spl20_173 ),
inference(rat,[],[s124,s684]) ).
cnf(s747,plain,
( ~ spl20_163
| spl20_165
| spl20_167 ),
inference(rat,[],[s114,s740]) ).
cnf(s753,plain,
~ spl20_141,
inference(rat,[],[s102,s672]) ).
cnf(s754,plain,
( spl20_148
| spl20_152
| spl20_153 ),
inference(rat,[],[s84,s663]) ).
cnf(s758,plain,
( spl20_145
| spl20_146 ),
inference(rat,[],[s76,s680,s753]) ).
cnf(s766,plain,
spl20_33,
inference(rat,[],[s524,s245,s246,s662,s66]) ).
cnf(s768,plain,
~ spl20_26,
inference(rat,[],[s39,s678]) ).
cnf(s769,plain,
~ spl20_25,
inference(rat,[],[s34,s66]) ).
cnf(s770,plain,
~ spl20_24,
inference(rat,[],[s29,s662]) ).
cnf(s777,plain,
( ~ spl20_29
| ~ spl20_30
| ~ spl20_31
| ~ spl20_32
| ~ spl20_34
| ~ spl20_35
| ~ spl20_36
| ~ spl20_37
| ~ spl20_38
| ~ spl20_39
| ~ spl20_40
| ~ spl20_41
| ~ spl20_42
| ~ spl20_43 ),
inference(rat,[],[s8,s670,s766,s694,s768,s769,s770]) ).
cnf(s785,plain,
spl20_145,
inference(rat,[],[s294,s758,s737]) ).
cnf(s786,plain,
~ spl20_185,
inference(rat,[],[s553,s785]) ).
cnf(s787,plain,
~ spl20_181,
inference(rat,[],[s273,s785]) ).
cnf(s788,plain,
~ spl20_197,
inference(rat,[],[s257,s785]) ).
cnf(s789,plain,
~ spl20_191,
inference(rat,[],[s255,s785]) ).
cnf(s790,plain,
spl20_182,
inference(rat,[],[s739,s787]) ).
cnf(s793,plain,
( spl20_157
| spl20_150
| spl20_154 ),
inference(rat,[],[s90,s92]) ).
cnf(s794,plain,
( spl20_153
| spl20_148 ),
inference(rat,[],[s302,s754,s730]) ).
cnf(s795,plain,
~ spl20_150,
inference(rat,[],[s354,s729,s731,s358,s359,s788,s789]) ).
cnf(s796,plain,
spl20_173,
inference(rat,[],[s412,s707,s709,s410,s422,s144,s741,s409,s420,s705]) ).
cnf(s797,plain,
~ spl20_148,
inference(rat,[],[s103,s785]) ).
cnf(s799,plain,
~ spl20_177,
inference(rat,[],[s620,s796]) ).
cnf(s800,plain,
~ spl20_256,
inference(rat,[],[s440,s796]) ).
cnf(s801,plain,
~ spl20_258,
inference(rat,[],[s380,s796]) ).
cnf(s803,plain,
spl20_153,
inference(rat,[],[s794,s797]) ).
cnf(s804,plain,
~ spl20_159,
inference(rat,[],[s574,s803]) ).
cnf(s805,plain,
~ spl20_208,
inference(rat,[],[s357,s803]) ).
cnf(s806,plain,
~ spl20_204,
inference(rat,[],[s252,s803]) ).
cnf(s807,plain,
spl20_41,
inference(rat,[],[s531,s796,s66,s670,s803]) ).
cnf(s808,plain,
( ~ spl20_218
| spl20_220 ),
inference(rat,[],[s106,s254,s793,s167,s299,s348,s795]) ).
cnf(s809,plain,
( spl20_174
| ~ spl20_172 ),
inference(rat,[],[s129,s131,s799]) ).
cnf(s811,plain,
( ~ spl20_218
| spl20_214 ),
inference(rat,[],[s99,s108,s341,s559,s727,s106,s352,s793,s808,s299,s803,s804,s795]) ).
cnf(s812,plain,
~ spl20_152,
inference(rat,[],[s352,s727,s168,s341,s660,s99,s108,s559,s106,s793,s309,s725,s337,s726,s811,s287,s303,s786,s803,s804,s795,s805,s806]) ).
cnf(s813,plain,
spl20_193,
inference(rat,[],[s732,s812]) ).
cnf(s815,plain,
~ spl20_187,
inference(rat,[],[s266,s813]) ).
cnf(s816,plain,
spl20_207,
inference(rat,[],[s734,s805,s815]) ).
cnf(s817,plain,
~ spl20_220,
inference(rat,[],[s588,s816]) ).
cnf(s819,plain,
~ spl20_214,
inference(rat,[],[s319,s816]) ).
cnf(s820,plain,
~ spl20_218,
inference(rat,[],[s808,s817]) ).
cnf(s821,plain,
spl20_226,
inference(rat,[],[s726,s806,s820]) ).
cnf(s823,plain,
~ spl20_227,
inference(rat,[],[s337,s821]) ).
cnf(s828,plain,
spl20_221,
inference(rat,[],[s725,s805,s823]) ).
cnf(s831,plain,
~ spl20_157,
inference(rat,[],[s309,s828]) ).
cnf(s832,plain,
spl20_154,
inference(rat,[],[s793,s795,s831]) ).
cnf(s833,plain,
spl20_143,
inference(rat,[],[s106,s832]) ).
cnf(s834,plain,
~ spl20_144,
inference(rat,[],[s559,s833]) ).
cnf(s837,plain,
~ spl20_188,
inference(rat,[],[s254,s833]) ).
cnf(s838,plain,
~ spl20_158,
inference(rat,[],[s108,s834]) ).
cnf(s839,plain,
spl20_189,
inference(rat,[],[s736,s815,s837]) ).
cnf(s840,plain,
spl20_156,
inference(rat,[],[s99,s804,s803,s838]) ).
cnf(s843,plain,
~ spl20_212,
inference(rat,[],[s538,s840]) ).
cnf(s844,plain,
~ spl20_225,
inference(rat,[],[s341,s840]) ).
cnf(s845,plain,
spl20_211,
inference(rat,[],[s731,s789,s843]) ).
cnf(s846,plain,
spl20_224,
inference(rat,[],[s727,s819,s844]) ).
cnf(s847,plain,
spl20_216,
inference(rat,[],[s723,s804,s844]) ).
cnf(s858,plain,
( spl20_176
| spl20_178 ),
inference(rat,[],[s135,s139,s796]) ).
cnf(s859,plain,
~ spl20_172,
inference(rat,[],[s216,s367,s464,s703,s701,s369,s463,s468,s858,s148,s617,s618,s146,s809,s403,s409]) ).
cnf(s860,plain,
spl20_241,
inference(rat,[],[s707,s801,s859]) ).
cnf(s861,plain,
~ spl20_162,
inference(rat,[],[s410,s860]) ).
cnf(s862,plain,
~ spl20_235,
inference(rat,[],[s386,s860]) ).
cnf(s863,plain,
spl20_29,
inference(rat,[],[s653,s813,s66,s678,s662,s860]) ).
cnf(s867,plain,
spl20_255,
inference(rat,[],[s709,s800,s862]) ).
cnf(s871,plain,
~ spl20_262,
inference(rat,[],[s420,s867]) ).
cnf(s872,plain,
spl20_37,
inference(rat,[],[s615,s816,s66,s678,s867]) ).
cnf(s873,plain,
( spl20_170
| spl20_174 ),
inference(rat,[],[s130,s132,s799]) ).
cnf(s874,plain,
spl20_163,
inference(rat,[],[s480,s213,s217,s455,s485,s702,s416,s430,s459,s873,s437,s712,s388,s714,s146,s799,s862,s861]) ).
cnf(s875,plain,
~ spl20_265,
inference(rat,[],[s618,s874]) ).
cnf(s876,plain,
~ spl20_164,
inference(rat,[],[s617,s874]) ).
cnf(s877,plain,
~ spl20_242,
inference(rat,[],[s395,s874]) ).
cnf(s878,plain,
~ spl20_236,
inference(rat,[],[s376,s874]) ).
cnf(s879,plain,
spl20_30,
inference(rat,[],[s519,s833,s678,s662,s874]) ).
cnf(s882,plain,
~ spl20_178,
inference(rat,[],[s148,s876]) ).
cnf(s883,plain,
spl20_237,
inference(rat,[],[s712,s862,s878]) ).
cnf(s884,plain,
spl20_176,
inference(rat,[],[s858,s882]) ).
cnf(s885,plain,
spl20_31,
inference(rat,[],[s614,s839,s66,s670,s662,s883]) ).
cnf(s886,plain,
~ spl20_273,
inference(rat,[],[s463,s884]) ).
cnf(s887,plain,
~ spl20_267,
inference(rat,[],[s369,s884]) ).
cnf(s888,plain,
spl20_39,
inference(rat,[],[s529,s840,s670,s678,s884]) ).
cnf(s889,plain,
spl20_272,
inference(rat,[],[s701,s871,s886]) ).
cnf(s890,plain,
spl20_230,
inference(rat,[],[s703,s875,s887]) ).
cnf(s891,plain,
~ spl20_175,
inference(rat,[],[s485,s889]) ).
cnf(s892,plain,
~ spl20_268,
inference(rat,[],[s464,s889]) ).
cnf(s893,plain,
spl20_38,
inference(rat,[],[s526,s846,s670,s678,s889]) ).
cnf(s894,plain,
~ spl20_166,
inference(rat,[],[s397,s890]) ).
cnf(s895,plain,
~ spl20_233,
inference(rat,[],[s367,s890]) ).
cnf(s896,plain,
spl20_36,
inference(rat,[],[s525,s790,s678,s662,s890]) ).
cnf(s897,plain,
spl20_165,
inference(rat,[],[s477,s713,s747,s895,s874]) ).
cnf(s899,plain,
~ spl20_245,
inference(rat,[],[s381,s897]) ).
cnf(s900,plain,
~ spl20_239,
inference(rat,[],[s377,s897]) ).
cnf(s901,plain,
spl20_32,
inference(rat,[],[s521,s785,s66,s662,s897]) ).
cnf(s902,plain,
spl20_240,
inference(rat,[],[s711,s894,s900]) ).
cnf(s903,plain,
~ spl20_271,
inference(rat,[],[s597,s902]) ).
cnf(s907,plain,
spl20_40,
inference(rat,[],[s528,s670,s668,s678,s662,s902]) ).
cnf(s908,plain,
spl20_259,
inference(rat,[],[s217,s891,s877,s903]) ).
cnf(s910,plain,
~ spl20_263,
inference(rat,[],[s442,s908]) ).
cnf(s911,plain,
~ spl20_170,
inference(rat,[],[s430,s908]) ).
cnf(s912,plain,
spl20_34,
inference(rat,[],[s533,s845,s66,s678,s908]) ).
cnf(s913,plain,
spl20_264,
inference(rat,[],[s704,s899,s910]) ).
cnf(s914,plain,
spl20_269,
inference(rat,[],[s215,s892,s878,s911]) ).
cnf(s916,plain,
~ spl20_254,
inference(rat,[],[s488,s913]) ).
cnf(s918,plain,
spl20_35,
inference(rat,[],[s544,s847,s66,s670,s913]) ).
cnf(s920,plain,
spl20_42,
inference(rat,[],[s530,s828,s66,s678,s670,s914]) ).
cnf(s921,plain,
spl20_274,
inference(rat,[],[s221,s887,s876,s916]) ).
cnf(s922,plain,
~ spl20_43,
inference(rat,[],[s777,s807,s907,s888,s893,s872,s896,s918,s912,s901,s885,s879,s863,s920]) ).
cnf(s925,plain,
$false,
inference(rat,[],[s532,s821,s670,s662,s922,s921]) ).
fof(f3899,plain,
$false,
inference(avatar_sat_refutation,[],[s925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG110+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:32:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/0.91 % (4172353)Detected formulas, will run a generic FOF schedule.
% 1.69/0.91 % (4172364)dis-21_1_sil=8000:lcm=predicate:random_seed=868403565:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.69/0.91 % (4172364)Refutation not found, incomplete strategy
% 1.69/0.91 % (4172364)------------------------------
% 1.69/0.91 % (4172364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/0.91 % (4172364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.91 % (4172364)CaDiCaL version: 2.1.3
% 1.69/0.91 % (4172364)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.91 % (4172364)Time elapsed: 0.010 s
% 1.69/0.91 % (4172364)Peak memory usage: 89 MB
% 1.69/0.91 % (4172364)Instructions burned: 33 (million)
% 1.69/0.91 % (4172361)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3279042504:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.69/0.91 % (4172359)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1571230107:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.69/0.91 % (4172358)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=986574269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.69/0.91 % (4172360)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4216013289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.69/0.91 % (4172363)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3233228435:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.69/0.91 % (4172362)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2790952594:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.69/0.91 % (4172361)Instruction limit reached!
% 1.69/0.91 % (4172361)------------------------------
% 1.69/0.91 % (4172361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/0.91 % (4172361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.91 % (4172361)CaDiCaL version: 2.1.3
% 1.69/0.91 % (4172361)Termination reason: Instruction limit
% 1.69/0.91 % (4172361)Termination phase: Saturation
% 1.69/0.91 % (4172361)Time elapsed: 0.050 s
% 1.69/0.91 % (4172361)Peak memory usage: 90 MB
% 1.69/0.91 % (4172361)Instructions burned: 110 (million)
% 1.69/0.91 % (4172362)Instruction limit reached!
% 1.69/0.91 % (4172362)------------------------------
% 1.69/0.91 % (4172362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/0.91 % (4172362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.91 % (4172362)CaDiCaL version: 2.1.3
% 1.69/0.91 % (4172362)Termination reason: Instruction limit
% 1.69/0.91 % (4172362)Termination phase: Saturation
% 1.69/0.91 % (4172362)Time elapsed: 0.052 s
% 1.69/0.91 % (4172362)Peak memory usage: 88 MB
% 1.69/0.91 % (4172362)Instructions burned: 120 (million)
% 1.69/0.91 % (4172363)First to succeed.
% 1.69/0.91 % (4172363)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4172353"
% 1.69/0.91 % (4172364)------------------------------
% 1.69/0.91 % (4172364)------------------------------
% 1.69/0.91 % (4172373)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1380398852:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 1.69/0.91 % (4172372)lrs+10_1_sil=8000:sp=occurrence:random_seed=1055589491:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.69/0.91 % (4172374)lrs+1011_1_sil=32000:sp=occurrence:random_seed=85847461:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.69/0.91 % (4172373)Instruction limit reached!
% 1.69/0.91 % (4172373)------------------------------
% 1.69/0.91 % (4172373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/0.91 % (4172373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.91 % (4172373)CaDiCaL version: 2.1.3
% 1.69/0.91 % (4172373)Termination reason: Instruction limit
% 1.69/0.91 % (4172373)Termination phase: Saturation
% 1.69/0.91 % (4172373)Time elapsed: 0.079 s
% 1.69/0.91 % (4172373)Peak memory usage: 90 MB
% 1.69/0.91 % (4172373)Instructions burned: 157 (million)
% 1.69/0.91 % (4172374)Also succeeded, but the first one will report.
% 1.69/0.91 % (4172372)Also succeeded, but the first one will report.
% 1.69/0.91 % (4172363)Refutation found. Thanks to Tanya!
% 1.69/0.91 % SZS status Theorem for theBenchmark
% 1.69/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/1.01 % (4172363)------------------------------
% 1.69/1.01 % (4172363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.01 % (4172363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.01 % (4172363)CaDiCaL version: 2.1.3
% 1.69/1.01 % (4172363)Termination reason: Refutation
% 1.69/1.01 % (4172363)Time elapsed: 0.088 s
% 1.69/1.01 % (4172363)Peak memory usage: 91 MB
% 1.69/1.01 % (4172363)Instructions burned: 170 (million)
% 1.69/1.01 % (4172363)------------------------------
% 1.69/1.01 % (4172363)------------------------------
% 1.69/1.01 % (4172353)Success in time 0.485 s
% 1.69/1.01 % Vampire exiting
%------------------------------------------------------------------------------