%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG124+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 : n015.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 09:12:09 AM UTC 2026
% Result : Theorem 3.27s 1.21s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 192
% Syntax : Number of formulae : 1272 ( 194 unt; 175 def)
% Number of atoms : 5018 (2620 equ)
% Maximal formula atoms : 132 ( 3 avg)
% Number of connectives : 6221 (2475 ~;2740 |; 851 &)
% ( 155 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 177 ( 175 usr; 176 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(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
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(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
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(e11,e11) != e11
& op1(e12,e12) != e12
& op1(e13,e13) != e13
& ( ( ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13 )
& ( op1(e11,e10) != e10
| op1(e11,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e12) != e10
| op1(e11,e10) = e12 )
& ( op1(e11,e13) != e10
| op1(e11,e10) = e13 )
& ( op1(e12,e10) != e10
| op1(e12,e10) = e10 )
& ( op1(e12,e11) != e10
| op1(e12,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e13) != e10
| op1(e12,e10) = e13 )
& ( op1(e13,e10) != e10
| op1(e13,e10) = e10 )
& ( op1(e13,e11) != e10
| op1(e13,e10) = e11 )
& ( op1(e13,e12) != e10
| op1(e13,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e11) != e11
| op1(e10,e11) = e11 )
& ( op1(e10,e12) != e11
| op1(e10,e11) = e12 )
& ( op1(e10,e13) != e11
| op1(e10,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) = e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) = e13 )
& ( op1(e12,e10) != e11
| op1(e12,e11) = e10 )
& ( op1(e12,e11) != e11
| op1(e12,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e13) != e11
| op1(e12,e11) = e13 )
& ( op1(e13,e10) != e11
| op1(e13,e11) = e10 )
& ( op1(e13,e11) != e11
| op1(e13,e11) = e11 )
& ( op1(e13,e12) != e11
| op1(e13,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ( ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e11) != e12
| op1(e10,e12) = e11 )
& ( op1(e10,e12) != e12
| op1(e10,e12) = e12 )
& ( op1(e10,e13) != e12
| op1(e10,e12) = e13 )
& ( op1(e11,e10) != e12
| op1(e11,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e12) != e12
| op1(e11,e12) = e12 )
& ( op1(e11,e13) != e12
| op1(e11,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e13 )
& ( op1(e13,e10) != e12
| op1(e13,e12) = e10 )
& ( op1(e13,e11) != e12
| op1(e13,e12) = e11 )
& ( op1(e13,e12) != e12
| op1(e13,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e10,e11) != e13
| op1(e10,e13) = e11 )
& ( op1(e10,e12) != e13
| op1(e10,e13) = e12 )
& ( op1(e10,e13) != e13
| op1(e10,e13) = e13 )
& ( op1(e11,e10) != e13
| op1(e11,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e11,e12) != e13
| op1(e11,e13) = e12 )
& ( op1(e11,e13) != e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) != e13
| op1(e12,e13) = e10 )
& ( op1(e12,e11) != e13
| op1(e12,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e12,e13) != e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( op2(e20,e20) != e20
& op2(e21,e21) != e21
& op2(e22,e22) != e22
& op2(e23,e23) != e23
& ( ( ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23 )
& ( op2(e21,e20) != e20
| op2(e21,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e22) != e20
| op2(e21,e20) = e22 )
& ( op2(e21,e23) != e20
| op2(e21,e20) = e23 )
& ( op2(e22,e20) != e20
| op2(e22,e20) = e20 )
& ( op2(e22,e21) != e20
| op2(e22,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e23) != e20
| op2(e22,e20) = e23 )
& ( op2(e23,e20) != e20
| op2(e23,e20) = e20 )
& ( op2(e23,e21) != e20
| op2(e23,e20) = e21 )
& ( op2(e23,e22) != e20
| op2(e23,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e21) != e21
| op2(e20,e21) = e21 )
& ( op2(e20,e22) != e21
| op2(e20,e21) = e22 )
& ( op2(e20,e23) != e21
| op2(e20,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) = e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) = e23 )
& ( op2(e22,e20) != e21
| op2(e22,e21) = e20 )
& ( op2(e22,e21) != e21
| op2(e22,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e23) != e21
| op2(e22,e21) = e23 )
& ( op2(e23,e20) != e21
| op2(e23,e21) = e20 )
& ( op2(e23,e21) != e21
| op2(e23,e21) = e21 )
& ( op2(e23,e22) != e21
| op2(e23,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ( ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e21) != e22
| op2(e20,e22) = e21 )
& ( op2(e20,e22) != e22
| op2(e20,e22) = e22 )
& ( op2(e20,e23) != e22
| op2(e20,e22) = e23 )
& ( op2(e21,e20) != e22
| op2(e21,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e22) != e22
| op2(e21,e22) = e22 )
& ( op2(e21,e23) != e22
| op2(e21,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e23 )
& ( op2(e23,e20) != e22
| op2(e23,e22) = e20 )
& ( op2(e23,e21) != e22
| op2(e23,e22) = e21 )
& ( op2(e23,e22) != e22
| op2(e23,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e20,e21) != e23
| op2(e20,e23) = e21 )
& ( op2(e20,e22) != e23
| op2(e20,e23) = e22 )
& ( op2(e20,e23) != e23
| op2(e20,e23) = e23 )
& ( op2(e21,e20) != e23
| op2(e21,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e21,e22) != e23
| op2(e21,e23) = e22 )
& ( op2(e21,e23) != e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) != e23
| op2(e22,e23) = e20 )
& ( op2(e22,e21) != e23
| op2(e22,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e22,e23) != e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e11 = op1(op1(op1(e10,e10),e10),e10)
& e12 = op1(op1(e10,e10),e10)
& e13 = op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e21 = op2(op2(op2(e20,e20),e20),e20)
& e22 = op2(op2(e20,e20),e20)
& e23 = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e10) = e20
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e12) = op2(op2(e20,e20),e20)
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e10) = e21
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e12) = op2(op2(e21,e21),e21)
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e10) = e22
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e12) = op2(op2(e22,e22),e22)
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e10) = e23
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e12) = op2(op2(e23,e23),e23)
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
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(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e10,e11) != e13
| op1(e10,e13) = e11 )
& ( op1(e10,e12) != e13
| op1(e10,e13) = e12 )
& ( op1(e10,e13) != e13
| op1(e10,e13) = e13 )
& ( op1(e11,e10) != e13
| op1(e11,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e11,e12) != e13
| op1(e11,e13) = e12 )
& ( op1(e11,e13) != e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) != e13
| op1(e12,e13) = e10 )
& ( op1(e12,e11) != e13
| op1(e12,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e12,e13) != e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e11) != e12
| op1(e10,e12) = e11 )
& ( op1(e10,e12) != e12
| op1(e10,e12) = e12 )
& ( op1(e10,e13) != e12
| op1(e10,e12) = e13 )
& ( op1(e11,e10) != e12
| op1(e11,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e12) != e12
| op1(e11,e12) = e12 )
& ( op1(e11,e13) != e12
| op1(e11,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e13 )
& ( op1(e13,e10) != e12
| op1(e13,e12) = e10 )
& ( op1(e13,e11) != e12
| op1(e13,e12) = e11 )
& ( op1(e13,e12) != e12
| op1(e13,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e11) != e11
| op1(e10,e11) = e11 )
& ( op1(e10,e12) != e11
| op1(e10,e11) = e12 )
& ( op1(e10,e13) != e11
| op1(e10,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) = e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) = e13 )
& ( op1(e12,e10) != e11
| op1(e12,e11) = e10 )
& ( op1(e12,e11) != e11
| op1(e12,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e13) != e11
| op1(e12,e11) = e13 )
& ( op1(e13,e10) != e11
| op1(e13,e11) = e10 )
& ( op1(e13,e11) != e11
| op1(e13,e11) = e11 )
& ( op1(e13,e12) != e11
| op1(e13,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13 )
& ( op1(e11,e10) != e10
| op1(e11,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e12) != e10
| op1(e11,e10) = e12 )
& ( op1(e11,e13) != e10
| op1(e11,e10) = e13 )
& ( op1(e12,e10) != e10
| op1(e12,e10) = e10 )
& ( op1(e12,e11) != e10
| op1(e12,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e13) != e10
| op1(e12,e10) = e13 )
& ( op1(e13,e10) != e10
| op1(e13,e10) = e10 )
& ( op1(e13,e11) != e10
| op1(e13,e10) = e11 )
& ( op1(e13,e12) != e10
| op1(e13,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,plain,
( op1(e10,e10) != e10
& op1(e11,e11) != e11
& op1(e12,e12) != e12
& op1(e13,e13) != e13
& ( sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f26,definition,
( ( ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e20,e21) != e23
| op2(e20,e23) = e21 )
& ( op2(e20,e22) != e23
| op2(e20,e23) = e22 )
& ( op2(e20,e23) != e23
| op2(e20,e23) = e23 )
& ( op2(e21,e20) != e23
| op2(e21,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e21,e22) != e23
| op2(e21,e23) = e22 )
& ( op2(e21,e23) != e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) != e23
| op2(e22,e23) = e20 )
& ( op2(e22,e21) != e23
| op2(e22,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e22,e23) != e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e21) != e22
| op2(e20,e22) = e21 )
& ( op2(e20,e22) != e22
| op2(e20,e22) = e22 )
& ( op2(e20,e23) != e22
| op2(e20,e22) = e23 )
& ( op2(e21,e20) != e22
| op2(e21,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e22) != e22
| op2(e21,e22) = e22 )
& ( op2(e21,e23) != e22
| op2(e21,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e23 )
& ( op2(e23,e20) != e22
| op2(e23,e22) = e20 )
& ( op2(e23,e21) != e22
| op2(e23,e22) = e21 )
& ( op2(e23,e22) != e22
| op2(e23,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e21) != e21
| op2(e20,e21) = e21 )
& ( op2(e20,e22) != e21
| op2(e20,e21) = e22 )
& ( op2(e20,e23) != e21
| op2(e20,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) = e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) = e23 )
& ( op2(e22,e20) != e21
| op2(e22,e21) = e20 )
& ( op2(e22,e21) != e21
| op2(e22,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e23) != e21
| op2(e22,e21) = e23 )
& ( op2(e23,e20) != e21
| op2(e23,e21) = e20 )
& ( op2(e23,e21) != e21
| op2(e23,e21) = e21 )
& ( op2(e23,e22) != e21
| op2(e23,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23 )
& ( op2(e21,e20) != e20
| op2(e21,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e22) != e20
| op2(e21,e20) = e22 )
& ( op2(e21,e23) != e20
| op2(e21,e20) = e23 )
& ( op2(e22,e20) != e20
| op2(e22,e20) = e20 )
& ( op2(e22,e21) != e20
| op2(e22,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e23) != e20
| op2(e22,e20) = e23 )
& ( op2(e23,e20) != e20
| op2(e23,e20) = e20 )
& ( op2(e23,e21) != e20
| op2(e23,e20) = e21 )
& ( op2(e23,e22) != e20
| op2(e23,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f30,plain,
( op2(e20,e20) != e20
& op2(e21,e21) != e21
& op2(e22,e22) != e22
& op2(e23,e23) != e23
& ( sP7
| sP6
| sP5
| 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(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13 )
& ( op1(e11,e10) != e10
| op1(e11,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e12) != e10
| op1(e11,e10) = e12 )
& ( op1(e11,e13) != e10
| op1(e11,e10) = e13 )
& ( op1(e12,e10) != e10
| op1(e12,e10) = e10 )
& ( op1(e12,e11) != e10
| op1(e12,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e13) != e10
| op1(e12,e10) = e13 )
& ( op1(e13,e10) != e10
| op1(e13,e10) = e10 )
& ( op1(e13,e11) != e10
| op1(e13,e10) = e11 )
& ( op1(e13,e12) != e10
| op1(e13,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e11) != e11
| op1(e10,e11) = e11 )
& ( op1(e10,e12) != e11
| op1(e10,e11) = e12 )
& ( op1(e10,e13) != e11
| op1(e10,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) = e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) = e13 )
& ( op1(e12,e10) != e11
| op1(e12,e11) = e10 )
& ( op1(e12,e11) != e11
| op1(e12,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e13) != e11
| op1(e12,e11) = e13 )
& ( op1(e13,e10) != e11
| op1(e13,e11) = e10 )
& ( op1(e13,e11) != e11
| op1(e13,e11) = e11 )
& ( op1(e13,e12) != e11
| op1(e13,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e11) != e12
| op1(e10,e12) = e11 )
& ( op1(e10,e12) != e12
| op1(e10,e12) = e12 )
& ( op1(e10,e13) != e12
| op1(e10,e12) = e13 )
& ( op1(e11,e10) != e12
| op1(e11,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e12) != e12
| op1(e11,e12) = e12 )
& ( op1(e11,e13) != e12
| op1(e11,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) = e13 )
& ( op1(e13,e10) != e12
| op1(e13,e12) = e10 )
& ( op1(e13,e11) != e12
| op1(e13,e12) = e11 )
& ( op1(e13,e12) != e12
| op1(e13,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e10,e11) != e13
| op1(e10,e13) = e11 )
& ( op1(e10,e12) != e13
| op1(e10,e13) = e12 )
& ( op1(e10,e13) != e13
| op1(e10,e13) = e13 )
& ( op1(e11,e10) != e13
| op1(e11,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e11,e12) != e13
| op1(e11,e13) = e12 )
& ( op1(e11,e13) != e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) != e13
| op1(e12,e13) = e10 )
& ( op1(e12,e11) != e13
| op1(e12,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e12,e13) != e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23 )
& ( op2(e21,e20) != e20
| op2(e21,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e22) != e20
| op2(e21,e20) = e22 )
& ( op2(e21,e23) != e20
| op2(e21,e20) = e23 )
& ( op2(e22,e20) != e20
| op2(e22,e20) = e20 )
& ( op2(e22,e21) != e20
| op2(e22,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e23) != e20
| op2(e22,e20) = e23 )
& ( op2(e23,e20) != e20
| op2(e23,e20) = e20 )
& ( op2(e23,e21) != e20
| op2(e23,e20) = e21 )
& ( op2(e23,e22) != e20
| op2(e23,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f29]) ).
fof(f49,plain,
( ( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e21) != e21
| op2(e20,e21) = e21 )
& ( op2(e20,e22) != e21
| op2(e20,e21) = e22 )
& ( op2(e20,e23) != e21
| op2(e20,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) = e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) = e23 )
& ( op2(e22,e20) != e21
| op2(e22,e21) = e20 )
& ( op2(e22,e21) != e21
| op2(e22,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e23) != e21
| op2(e22,e21) = e23 )
& ( op2(e23,e20) != e21
| op2(e23,e21) = e20 )
& ( op2(e23,e21) != e21
| op2(e23,e21) = e21 )
& ( op2(e23,e22) != e21
| op2(e23,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f50,plain,
( ( ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e21) != e22
| op2(e20,e22) = e21 )
& ( op2(e20,e22) != e22
| op2(e20,e22) = e22 )
& ( op2(e20,e23) != e22
| op2(e20,e22) = e23 )
& ( op2(e21,e20) != e22
| op2(e21,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e22) != e22
| op2(e21,e22) = e22 )
& ( op2(e21,e23) != e22
| op2(e21,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) = e23 )
& ( op2(e23,e20) != e22
| op2(e23,e22) = e20 )
& ( op2(e23,e21) != e22
| op2(e23,e22) = e21 )
& ( op2(e23,e22) != e22
| op2(e23,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f51,plain,
( ( ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e20,e21) != e23
| op2(e20,e23) = e21 )
& ( op2(e20,e22) != e23
| op2(e20,e23) = e22 )
& ( op2(e20,e23) != e23
| op2(e20,e23) = e23 )
& ( op2(e21,e20) != e23
| op2(e21,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e21,e22) != e23
| op2(e21,e23) = e22 )
& ( op2(e21,e23) != e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) != e23
| op2(e22,e23) = e20 )
& ( op2(e22,e21) != e23
| op2(e22,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e22,e23) != e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f52,plain,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP19 ),
inference(nnf_transformation,[],[f42]) ).
fof(f53,plain,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP18 ),
inference(nnf_transformation,[],[f41]) ).
fof(f54,plain,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f64,plain,
( e10 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
( e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
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(f84,plain,
( e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,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(f91,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
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(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(f100,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f112,plain,
( e20 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
( e20 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
( e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f132,plain,
( e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = 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(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(f147,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
( e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
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(f162,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
op1(e10,e12) != op1(e10,e13),
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(f181,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f219,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f226,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f233,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f235,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f236,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f253,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e11 != 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(f284,plain,
( e10 != op1(e13,e13)
| e13 = op1(e13,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f286,plain,
( e10 != op1(e13,e11)
| e11 = op1(e13,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
( e10 != op1(e12,e13)
| e13 = op1(e12,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f289,plain,
( e10 != op1(e12,e12)
| e12 = op1(e12,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f300,plain,
( e11 != op1(e13,e13)
| e13 = op1(e13,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f303,plain,
( e11 != op1(e13,e10)
| e10 = op1(e13,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f307,plain,
( e11 != op1(e12,e10)
| e10 = op1(e12,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f308,plain,
( e11 != op1(e11,e13)
| e13 = op1(e11,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f309,plain,
( e11 != op1(e11,e12)
| e12 = op1(e11,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f311,plain,
( e11 != op1(e11,e10)
| e10 = op1(e11,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f312,plain,
( e11 != op1(e10,e13)
| e13 = op1(e10,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f313,plain,
( e11 != op1(e10,e12)
| e12 = op1(e10,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f315,plain,
( op1(e10,e10) != e11
| e10 = op1(e10,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f318,plain,
( e12 != op1(e13,e11)
| e11 = op1(e13,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f319,plain,
( e12 != op1(e13,e10)
| e10 = op1(e13,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f320,plain,
( e12 != op1(e12,e13)
| e13 = op1(e12,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f322,plain,
( e12 != op1(e12,e11)
| e11 = op1(e12,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f330,plain,
( e12 != op1(e10,e11)
| e11 = op1(e10,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f333,plain,
( e13 != op1(e13,e12)
| e12 = op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f338,plain,
( e13 != op1(e12,e11)
| e11 = op1(e12,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f342,plain,
( e13 != op1(e11,e11)
| e11 = op1(e11,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f343,plain,
( e13 != op1(e11,e10)
| e10 = op1(e11,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f347,plain,
( op1(e10,e10) != e13
| e10 = op1(e10,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f348,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f349,plain,
e13 != op1(e13,e13),
inference(cnf_transformation,[],[f25]) ).
fof(f350,plain,
e12 != op1(e12,e12),
inference(cnf_transformation,[],[f25]) ).
fof(f351,plain,
e11 != op1(e11,e11),
inference(cnf_transformation,[],[f25]) ).
fof(f352,plain,
e10 != op1(e10,e10),
inference(cnf_transformation,[],[f25]) ).
fof(f353,plain,
( e20 != op2(e23,e23)
| e23 = op2(e23,e20)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f358,plain,
( e20 != op2(e22,e22)
| e22 = op2(e22,e20)
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f376,plain,
( e21 != op2(e22,e20)
| e20 = op2(e22,e21)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f381,plain,
( e21 != op2(e20,e23)
| e23 = op2(e20,e21)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f388,plain,
( e22 != op2(e23,e20)
| e20 = op2(e23,e22)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f402,plain,
( e23 != op2(e23,e22)
| e22 = op2(e23,e23)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f416,plain,
( op2(e20,e20) != e23
| e20 = op2(e20,e23)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f417,plain,
( sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f418,plain,
e23 != op2(e23,e23),
inference(cnf_transformation,[],[f30]) ).
fof(f419,plain,
e22 != op2(e22,e22),
inference(cnf_transformation,[],[f30]) ).
fof(f420,plain,
e21 != op2(e21,e21),
inference(cnf_transformation,[],[f30]) ).
fof(f421,plain,
e20 != op2(e20,e20),
inference(cnf_transformation,[],[f30]) ).
fof(f422,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f12]) ).
fof(f423,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f424,plain,
e11 = op1(op1(op1(e10,e10),e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f425,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f13]) ).
fof(f426,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f427,plain,
e21 = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f428,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f429,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f430,plain,
op2(op2(op2(e20,e20),e20),e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f431,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f432,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f433,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f436,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f437,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f440,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f446,plain,
( e21 != h1(e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f52]) ).
fof(f449,plain,
( e22 != h1(e12)
| ~ sP18 ),
inference(cnf_transformation,[],[f53]) ).
fof(f452,plain,
( e23 != h1(e13)
| ~ sP17 ),
inference(cnf_transformation,[],[f54]) ).
fof(f507,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)
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f43]) ).
fof(f521,definition,
( spl20_4
<=> e20 = h4(e13) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f522,plain,
( e20 = h4(e13)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f617,definition,
( spl20_27
<=> e20 = h3(e13) ),
introduced(definition,[new_symbols(definition,[spl20_27])],[avatar_definition]) ).
fof(f618,plain,
( e20 = h3(e13)
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f686,definition,
( spl20_44
<=> e20 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl20_44])],[avatar_definition]) ).
fof(f687,plain,
( e20 = h3(e12)
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f713,definition,
( spl20_50
<=> e20 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl20_50])],[avatar_definition]) ).
fof(f782,definition,
( spl20_67
<=> e20 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl20_67])],[avatar_definition]) ).
fof(f783,plain,
( e20 = h2(e12)
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f797,definition,
( spl20_70
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl20_70])],[avatar_definition]) ).
fof(f801,definition,
( spl20_71
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl20_71])],[avatar_definition]) ).
fof(f805,definition,
( spl20_72
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl20_72])],[avatar_definition]) ).
fof(f809,definition,
( spl20_73
<=> e20 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl20_73])],[avatar_definition]) ).
fof(f811,plain,
( e20 != h1(e13)
| spl20_73 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl20_74
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_74])],[avatar_definition]) ).
fof(f815,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl20_74 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl20_75
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_75])],[avatar_definition]) ).
fof(f818,plain,
( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
| ~ spl20_75 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f819,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl20_75 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f821,definition,
( spl20_76
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_76])],[avatar_definition]) ).
fof(f823,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl20_76 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f825,definition,
( spl20_77
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_77])],[avatar_definition]) ).
fof(f827,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl20_77 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl20_78
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_78])],[avatar_definition]) ).
fof(f831,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl20_78 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f833,definition,
( spl20_79
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_79])],[avatar_definition]) ).
fof(f835,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl20_79 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f837,definition,
( spl20_80
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_80])],[avatar_definition]) ).
fof(f839,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl20_80 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f841,definition,
( spl20_81
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_81])],[avatar_definition]) ).
fof(f843,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl20_81 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f845,definition,
( spl20_82
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_82])],[avatar_definition]) ).
fof(f847,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl20_82 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f849,definition,
( spl20_83
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_83])],[avatar_definition]) ).
fof(f850,plain,
( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f851,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl20_83 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f853,definition,
( spl20_84
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_84])],[avatar_definition]) ).
fof(f855,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl20_84 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f857,definition,
( spl20_85
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_85])],[avatar_definition]) ).
fof(f859,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl20_85 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f861,definition,
( spl20_86
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl20_86])],[avatar_definition]) ).
fof(f862,plain,
( h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
| ~ spl20_86 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f863,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl20_86 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f865,definition,
( spl20_87
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl20_87])],[avatar_definition]) ).
fof(f867,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl20_87 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f869,definition,
( spl20_88
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl20_88])],[avatar_definition]) ).
fof(f871,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl20_88 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f873,definition,
( spl20_89
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[spl20_89])],[avatar_definition]) ).
fof(f875,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl20_89 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f878,definition,
( spl20_90
<=> e20 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl20_90])],[avatar_definition]) ).
fof(f879,plain,
( e20 = h1(e12)
| ~ spl20_90 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f888,definition,
( spl20_92
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl20_92])],[avatar_definition]) ).
fof(f889,plain,
( e20 = h1(e10)
| ~ spl20_92 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,plain,
( spl20_70
| spl20_71
| spl20_72
| ~ spl20_92
| ~ spl20_74
| ~ spl20_75
| ~ spl20_76
| ~ spl20_77
| ~ spl20_78
| ~ spl20_79
| ~ spl20_80
| ~ spl20_81
| ~ spl20_82
| ~ spl20_83
| ~ spl20_84
| ~ spl20_85
| ~ spl20_86
| ~ spl20_87
| ~ spl20_88
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f507,f873,f869,f865,f861,f857,f853,f849,f845,f841,f837,f833,f829,f825,f821,f817,f813,f888,f805,f801,f797]) ).
fof(f913,definition,
( spl20_97
<=> e22 = h4(e13) ),
introduced(definition,[new_symbols(definition,[spl20_97])],[avatar_definition]) ).
fof(f953,definition,
( spl20_105
<=> e23 = h3(e13) ),
introduced(definition,[new_symbols(definition,[spl20_105])],[avatar_definition]) ).
fof(f954,plain,
( e23 = h3(e13)
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f993,definition,
( spl20_113
<=> e21 = h3(e13) ),
introduced(definition,[new_symbols(definition,[spl20_113])],[avatar_definition]) ).
fof(f994,plain,
( e21 = h3(e13)
| ~ spl20_113 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f1033,definition,
( spl20_121
<=> e22 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl20_121])],[avatar_definition]) ).
fof(f1034,plain,
( e22 = h2(e13)
| ~ spl20_121 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1073,definition,
( spl20_129
<=> e23 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl20_129])],[avatar_definition]) ).
fof(f1074,plain,
( e23 = h1(e13)
| ~ spl20_129 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1076,plain,
( ~ spl20_70
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f452,f1073,f797]) ).
fof(f1098,definition,
( spl20_134
<=> e22 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl20_134])],[avatar_definition]) ).
fof(f1099,plain,
( e22 = h1(e12)
| ~ spl20_134 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1101,plain,
( ~ spl20_71
| ~ spl20_134 ),
inference(avatar_split_clause,[],[f449,f1098,f801]) ).
fof(f1118,definition,
( spl20_138
<=> e21 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl20_138])],[avatar_definition]) ).
fof(f1119,plain,
( e21 = h1(e12)
| ~ spl20_138 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1123,definition,
( spl20_139
<=> e21 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl20_139])],[avatar_definition]) ).
fof(f1124,plain,
( e21 = h1(e11)
| ~ spl20_139 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1126,plain,
( ~ spl20_72
| ~ spl20_139 ),
inference(avatar_split_clause,[],[f446,f1123,f805]) ).
fof(f1135,plain,
spl20_92,
inference(avatar_split_clause,[],[f431,f888]) ).
fof(f1137,definition,
( spl20_141
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl20_141])],[avatar_definition]) ).
fof(f1141,definition,
( spl20_142
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl20_142])],[avatar_definition]) ).
fof(f1145,definition,
( spl20_143
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl20_143])],[avatar_definition]) ).
fof(f1149,definition,
( spl20_144
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl20_144])],[avatar_definition]) ).
fof(f1152,plain,
( spl20_141
| spl20_142
| spl20_143
| spl20_144 ),
inference(avatar_split_clause,[],[f417,f1149,f1145,f1141,f1137]) ).
fof(f1154,definition,
( spl20_145
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_145])],[avatar_definition]) ).
fof(f1156,plain,
( e22 = op2(e23,e23)
| ~ spl20_145 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1158,definition,
( spl20_146
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_146])],[avatar_definition]) ).
fof(f1159,plain,
( e23 = op2(e23,e22)
| ~ spl20_146 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1161,plain,
( ~ spl20_141
| spl20_145
| ~ spl20_146 ),
inference(avatar_split_clause,[],[f402,f1158,f1154,f1137]) ).
fof(f1163,definition,
( spl20_147
<=> e21 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_147])],[avatar_definition]) ).
fof(f1165,plain,
( e21 = op2(e23,e23)
| ~ spl20_147 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1167,definition,
( spl20_148
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl20_148])],[avatar_definition]) ).
fof(f1168,plain,
( e23 = op2(e23,e21)
| ~ spl20_148 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1172,definition,
( spl20_149
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_149])],[avatar_definition]) ).
fof(f1174,plain,
( e20 = op2(e23,e23)
| ~ spl20_149 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1176,definition,
( spl20_150
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_150])],[avatar_definition]) ).
fof(f1181,definition,
( spl20_151
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_151])],[avatar_definition]) ).
fof(f1185,definition,
( spl20_152
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_152])],[avatar_definition]) ).
fof(f1186,plain,
( e23 = op2(e22,e22)
| ~ spl20_152 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1190,definition,
( spl20_153
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_153])],[avatar_definition]) ).
fof(f1199,definition,
( spl20_155
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_155])],[avatar_definition]) ).
fof(f1208,definition,
( spl20_157
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_157])],[avatar_definition]) ).
fof(f1210,plain,
( e22 = op2(e21,e23)
| ~ spl20_157 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1217,definition,
( spl20_159
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_159])],[avatar_definition]) ).
fof(f1219,plain,
( e21 = op2(e21,e23)
| ~ spl20_159 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1235,definition,
( spl20_163
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_163])],[avatar_definition]) ).
fof(f1244,definition,
( spl20_165
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_165])],[avatar_definition]) ).
fof(f1248,definition,
( spl20_166
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_166])],[avatar_definition]) ).
fof(f1253,definition,
( spl20_167
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_167])],[avatar_definition]) ).
fof(f1255,plain,
( e20 = op2(e20,e23)
| ~ spl20_167 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1257,definition,
( spl20_168
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl20_168])],[avatar_definition]) ).
fof(f1258,plain,
( op2(e20,e20) = e23
| ~ spl20_168 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1260,plain,
( ~ spl20_141
| spl20_167
| ~ spl20_168 ),
inference(avatar_split_clause,[],[f416,f1257,f1253,f1137]) ).
fof(f1263,definition,
( spl20_169
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_169])],[avatar_definition]) ).
fof(f1272,definition,
( spl20_171
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_171])],[avatar_definition]) ).
fof(f1274,plain,
( e20 = op2(e23,e22)
| ~ spl20_171 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1276,definition,
( spl20_172
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_172])],[avatar_definition]) ).
fof(f1277,plain,
( e22 = op2(e23,e20)
| ~ spl20_172 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1279,plain,
( ~ spl20_142
| spl20_171
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f388,f1276,f1272,f1141]) ).
fof(f1282,definition,
( spl20_173
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_173])],[avatar_definition]) ).
fof(f1284,plain,
( e21 = op2(e22,e22)
| ~ spl20_173 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1291,definition,
( spl20_175
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_175])],[avatar_definition]) ).
fof(f1293,plain,
( e20 = op2(e22,e22)
| ~ spl20_175 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1295,definition,
( spl20_176
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl20_176])],[avatar_definition]) ).
fof(f1296,plain,
( e22 = op2(e22,e20)
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1301,definition,
( spl20_177
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_177])],[avatar_definition]) ).
fof(f1303,plain,
( e21 = op2(e21,e22)
| ~ spl20_177 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1305,definition,
( spl20_178
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_178])],[avatar_definition]) ).
fof(f1306,plain,
( e22 = op2(e21,e21)
| ~ spl20_178 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1310,definition,
( spl20_179
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_179])],[avatar_definition]) ).
fof(f1314,definition,
( spl20_180
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_180])],[avatar_definition]) ).
fof(f1324,definition,
( spl20_182
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_182])],[avatar_definition]) ).
fof(f1329,definition,
( spl20_183
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_183])],[avatar_definition]) ).
fof(f1340,definition,
( spl20_185
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl20_185])],[avatar_definition]) ).
fof(f1342,plain,
( e20 = op2(e23,e21)
| ~ spl20_185 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1351,definition,
( spl20_187
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl20_187])],[avatar_definition]) ).
fof(f1353,plain,
( e20 = op2(e22,e21)
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1355,definition,
( spl20_188
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl20_188])],[avatar_definition]) ).
fof(f1356,plain,
( e21 = op2(e22,e20)
| ~ spl20_188 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1358,plain,
( ~ spl20_143
| spl20_187
| ~ spl20_188 ),
inference(avatar_split_clause,[],[f376,f1355,f1351,f1145]) ).
fof(f1362,definition,
( spl20_189
<=> e20 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_189])],[avatar_definition]) ).
fof(f1364,plain,
( e20 = op2(e21,e21)
| ~ spl20_189 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1366,definition,
( spl20_190
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_190])],[avatar_definition]) ).
fof(f1367,plain,
( e21 = op2(e21,e20)
| ~ spl20_190 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1370,plain,
( ~ spl20_143
| spl20_166
| ~ spl20_165 ),
inference(avatar_split_clause,[],[f381,f1244,f1248,f1145]) ).
fof(f1373,definition,
( spl20_191
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_191])],[avatar_definition]) ).
fof(f1375,plain,
( e20 = op2(e20,e21)
| ~ spl20_191 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1381,plain,
( ~ spl20_144
| spl20_150
| ~ spl20_149 ),
inference(avatar_split_clause,[],[f353,f1172,f1176,f1149]) ).
fof(f1385,plain,
( ~ spl20_144
| spl20_176
| ~ spl20_175 ),
inference(avatar_split_clause,[],[f358,f1291,f1295,f1149]) ).
fof(f1394,definition,
( spl20_193
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl20_193])],[avatar_definition]) ).
fof(f1398,definition,
( spl20_194
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl20_194])],[avatar_definition]) ).
fof(f1402,definition,
( spl20_195
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl20_195])],[avatar_definition]) ).
fof(f1406,definition,
( spl20_196
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl20_196])],[avatar_definition]) ).
fof(f1409,plain,
( spl20_193
| spl20_194
| spl20_195
| spl20_196 ),
inference(avatar_split_clause,[],[f348,f1406,f1402,f1398,f1394]) ).
fof(f1411,definition,
( spl20_197
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_197])],[avatar_definition]) ).
fof(f1413,plain,
( e12 = op1(e13,e13)
| ~ spl20_197 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1415,definition,
( spl20_198
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_198])],[avatar_definition]) ).
fof(f1416,plain,
( e13 = op1(e13,e12)
| ~ spl20_198 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1418,plain,
( ~ spl20_193
| spl20_197
| ~ spl20_198 ),
inference(avatar_split_clause,[],[f333,f1415,f1411,f1394]) ).
fof(f1420,definition,
( spl20_199
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_199])],[avatar_definition]) ).
fof(f1422,plain,
( e11 = op1(e13,e13)
| ~ spl20_199 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1424,definition,
( spl20_200
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_200])],[avatar_definition]) ).
fof(f1425,plain,
( e13 = op1(e13,e11)
| ~ spl20_200 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1429,definition,
( spl20_201
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_201])],[avatar_definition]) ).
fof(f1431,plain,
( e10 = op1(e13,e13)
| ~ spl20_201 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1433,definition,
( spl20_202
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_202])],[avatar_definition]) ).
fof(f1434,plain,
( e13 = op1(e13,e10)
| ~ spl20_202 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1438,definition,
( spl20_203
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_203])],[avatar_definition]) ).
fof(f1440,plain,
( e12 = op1(e12,e13)
| ~ spl20_203 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f1442,definition,
( spl20_204
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_204])],[avatar_definition]) ).
fof(f1443,plain,
( e13 = op1(e12,e12)
| ~ spl20_204 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1447,definition,
( spl20_205
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_205])],[avatar_definition]) ).
fof(f1449,plain,
( e11 = op1(e12,e13)
| ~ spl20_205 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1451,definition,
( spl20_206
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_206])],[avatar_definition]) ).
fof(f1452,plain,
( e13 = op1(e12,e11)
| ~ spl20_206 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1454,plain,
( ~ spl20_193
| spl20_205
| ~ spl20_206 ),
inference(avatar_split_clause,[],[f338,f1451,f1447,f1394]) ).
fof(f1456,definition,
( spl20_207
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_207])],[avatar_definition]) ).
fof(f1458,plain,
( e10 = op1(e12,e13)
| ~ spl20_207 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1460,definition,
( spl20_208
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_208])],[avatar_definition]) ).
fof(f1461,plain,
( e13 = op1(e12,e10)
| ~ spl20_208 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1465,definition,
( spl20_209
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_209])],[avatar_definition]) ).
fof(f1467,plain,
( e12 = op1(e11,e13)
| ~ spl20_209 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1469,definition,
( spl20_210
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_210])],[avatar_definition]) ).
fof(f1470,plain,
( e13 = op1(e11,e12)
| ~ spl20_210 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1474,definition,
( spl20_211
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_211])],[avatar_definition]) ).
fof(f1476,plain,
( e11 = op1(e11,e13)
| ~ spl20_211 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1478,definition,
( spl20_212
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_212])],[avatar_definition]) ).
fof(f1481,plain,
( ~ spl20_193
| spl20_211
| ~ spl20_212 ),
inference(avatar_split_clause,[],[f342,f1478,f1474,f1394]) ).
fof(f1483,definition,
( spl20_213
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_213])],[avatar_definition]) ).
fof(f1485,plain,
( e10 = op1(e11,e13)
| ~ spl20_213 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1487,definition,
( spl20_214
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_214])],[avatar_definition]) ).
fof(f1490,plain,
( ~ spl20_193
| spl20_213
| ~ spl20_214 ),
inference(avatar_split_clause,[],[f343,f1487,f1483,f1394]) ).
fof(f1492,definition,
( spl20_215
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_215])],[avatar_definition]) ).
fof(f1494,plain,
( e12 = op1(e10,e13)
| ~ spl20_215 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1496,definition,
( spl20_216
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_216])],[avatar_definition]) ).
fof(f1501,definition,
( spl20_217
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_217])],[avatar_definition]) ).
fof(f1505,definition,
( spl20_218
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_218])],[avatar_definition]) ).
fof(f1506,plain,
( e13 = op1(e10,e11)
| ~ spl20_218 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1510,definition,
( spl20_219
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_219])],[avatar_definition]) ).
fof(f1512,plain,
( e10 = op1(e10,e13)
| ~ spl20_219 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1514,definition,
( spl20_220
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl20_220])],[avatar_definition]) ).
fof(f1515,plain,
( op1(e10,e10) = e13
| ~ spl20_220 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1517,plain,
( ~ spl20_193
| spl20_219
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f347,f1514,f1510,f1394]) ).
fof(f1520,definition,
( spl20_221
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_221])],[avatar_definition]) ).
fof(f1522,plain,
( e11 = op1(e13,e12)
| ~ spl20_221 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1524,definition,
( spl20_222
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_222])],[avatar_definition]) ).
fof(f1527,plain,
( ~ spl20_194
| spl20_221
| ~ spl20_222 ),
inference(avatar_split_clause,[],[f318,f1524,f1520,f1398]) ).
fof(f1529,definition,
( spl20_223
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_223])],[avatar_definition]) ).
fof(f1531,plain,
( e10 = op1(e13,e12)
| ~ spl20_223 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1533,definition,
( spl20_224
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_224])],[avatar_definition]) ).
fof(f1534,plain,
( e12 = op1(e13,e10)
| ~ spl20_224 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1536,plain,
( ~ spl20_194
| spl20_223
| ~ spl20_224 ),
inference(avatar_split_clause,[],[f319,f1533,f1529,f1398]) ).
fof(f1537,plain,
( ~ spl20_194
| spl20_204
| ~ spl20_203 ),
inference(avatar_split_clause,[],[f320,f1438,f1442,f1398]) ).
fof(f1539,definition,
( spl20_225
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_225])],[avatar_definition]) ).
fof(f1541,plain,
( e11 = op1(e12,e12)
| ~ spl20_225 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1543,definition,
( spl20_226
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_226])],[avatar_definition]) ).
fof(f1546,plain,
( ~ spl20_194
| spl20_225
| ~ spl20_226 ),
inference(avatar_split_clause,[],[f322,f1543,f1539,f1398]) ).
fof(f1548,definition,
( spl20_227
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_227])],[avatar_definition]) ).
fof(f1552,definition,
( spl20_228
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_228])],[avatar_definition]) ).
fof(f1558,definition,
( spl20_229
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_229])],[avatar_definition]) ).
fof(f1560,plain,
( e11 = op1(e11,e12)
| ~ spl20_229 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1562,definition,
( spl20_230
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_230])],[avatar_definition]) ).
fof(f1563,plain,
( e12 = op1(e11,e11)
| ~ spl20_230 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1577,definition,
( spl20_233
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_233])],[avatar_definition]) ).
fof(f1579,plain,
( e11 = op1(e10,e12)
| ~ spl20_233 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1581,definition,
( spl20_234
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_234])],[avatar_definition]) ).
fof(f1584,plain,
( ~ spl20_194
| spl20_233
| ~ spl20_234 ),
inference(avatar_split_clause,[],[f330,f1581,f1577,f1398]) ).
fof(f1586,definition,
( spl20_235
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_235])],[avatar_definition]) ).
fof(f1594,plain,
( ~ spl20_195
| spl20_200
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f300,f1420,f1424,f1402]) ).
fof(f1597,definition,
( spl20_237
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_237])],[avatar_definition]) ).
fof(f1601,definition,
( spl20_238
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_238])],[avatar_definition]) ).
fof(f1604,plain,
( ~ spl20_195
| spl20_237
| ~ spl20_238 ),
inference(avatar_split_clause,[],[f303,f1601,f1597,f1402]) ).
fof(f1608,definition,
( spl20_239
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_239])],[avatar_definition]) ).
fof(f1610,plain,
( e10 = op1(e12,e11)
| ~ spl20_239 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1612,definition,
( spl20_240
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_240])],[avatar_definition]) ).
fof(f1613,plain,
( e11 = op1(e12,e10)
| ~ spl20_240 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1615,plain,
( ~ spl20_195
| spl20_239
| ~ spl20_240 ),
inference(avatar_split_clause,[],[f307,f1612,f1608,f1402]) ).
fof(f1616,plain,
( ~ spl20_195
| spl20_212
| ~ spl20_211 ),
inference(avatar_split_clause,[],[f308,f1474,f1478,f1402]) ).
fof(f1617,plain,
( ~ spl20_195
| spl20_230
| ~ spl20_229 ),
inference(avatar_split_clause,[],[f309,f1558,f1562,f1402]) ).
fof(f1619,definition,
( spl20_241
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_241])],[avatar_definition]) ).
fof(f1623,definition,
( spl20_242
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_242])],[avatar_definition]) ).
fof(f1626,plain,
( ~ spl20_195
| spl20_241
| ~ spl20_242 ),
inference(avatar_split_clause,[],[f311,f1623,f1619,f1402]) ).
fof(f1627,plain,
( ~ spl20_195
| spl20_218
| ~ spl20_217 ),
inference(avatar_split_clause,[],[f312,f1501,f1505,f1402]) ).
fof(f1628,plain,
( ~ spl20_195
| spl20_234
| ~ spl20_233 ),
inference(avatar_split_clause,[],[f313,f1577,f1581,f1402]) ).
fof(f1630,definition,
( spl20_243
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_243])],[avatar_definition]) ).
fof(f1634,definition,
( spl20_244
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl20_244])],[avatar_definition]) ).
fof(f1637,plain,
( ~ spl20_195
| spl20_243
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f315,f1634,f1630,f1402]) ).
fof(f1638,plain,
( ~ spl20_196
| spl20_202
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f284,f1429,f1433,f1406]) ).
fof(f1640,plain,
( ~ spl20_196
| spl20_238
| ~ spl20_237 ),
inference(avatar_split_clause,[],[f286,f1597,f1601,f1406]) ).
fof(f1641,plain,
( ~ spl20_196
| spl20_208
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f288,f1456,f1460,f1406]) ).
fof(f1642,plain,
( ~ spl20_196
| spl20_228
| ~ spl20_227 ),
inference(avatar_split_clause,[],[f289,f1548,f1552,f1406]) ).
fof(f1651,definition,
( spl20_245
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl20_245])],[avatar_definition]) ).
fof(f1655,definition,
( spl20_246
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl20_246])],[avatar_definition]) ).
fof(f1657,plain,
( e23 = op2(e22,e23)
| ~ spl20_246 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1659,definition,
( spl20_247
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl20_247])],[avatar_definition]) ).
fof(f1661,plain,
( e23 = op2(e21,e23)
| ~ spl20_247 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1663,definition,
( spl20_248
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl20_248])],[avatar_definition]) ).
fof(f1666,plain,
( spl20_245
| spl20_246
| spl20_247
| spl20_248 ),
inference(avatar_split_clause,[],[f128,f1663,f1659,f1655,f1651]) ).
fof(f1667,plain,
( spl20_245
| spl20_146
| spl20_148
| spl20_150 ),
inference(avatar_split_clause,[],[f129,f1176,f1167,f1158,f1651]) ).
fof(f1670,definition,
( spl20_249
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl20_249])],[avatar_definition]) ).
fof(f1672,plain,
( e22 = op2(e23,e22)
| ~ spl20_249 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1674,plain,
( spl20_147
| spl20_153
| spl20_159
| spl20_165 ),
inference(avatar_split_clause,[],[f132,f1244,f1217,f1190,f1163]) ).
fof(f1676,definition,
( spl20_250
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl20_250])],[avatar_definition]) ).
fof(f1678,plain,
( e21 = op2(e23,e21)
| ~ spl20_250 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1682,definition,
( spl20_251
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl20_251])],[avatar_definition]) ).
fof(f1684,plain,
( e20 = op2(e23,e20)
| ~ spl20_251 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1689,definition,
( spl20_252
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl20_252])],[avatar_definition]) ).
fof(f1693,definition,
( spl20_253
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl20_253])],[avatar_definition]) ).
fof(f1695,plain,
( e22 = op2(e21,e22)
| ~ spl20_253 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1697,definition,
( spl20_254
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl20_254])],[avatar_definition]) ).
fof(f1699,plain,
( e22 = op2(e20,e22)
| ~ spl20_254 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1700,plain,
( spl20_249
| spl20_252
| spl20_253
| spl20_254 ),
inference(avatar_split_clause,[],[f138,f1697,f1693,f1689,f1670]) ).
fof(f1704,definition,
( spl20_255
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl20_255])],[avatar_definition]) ).
fof(f1706,plain,
( e21 = op2(e22,e21)
| ~ spl20_255 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1708,plain,
( spl20_171
| spl20_175
| spl20_179
| spl20_183 ),
inference(avatar_split_clause,[],[f142,f1329,f1310,f1291,f1272]) ).
fof(f1710,definition,
( spl20_256
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl20_256])],[avatar_definition]) ).
fof(f1712,plain,
( e20 = op2(e22,e20)
| ~ spl20_256 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1713,plain,
( spl20_155
| spl20_175
| spl20_187
| spl20_256 ),
inference(avatar_split_clause,[],[f143,f1710,f1351,f1291,f1199]) ).
fof(f1717,plain,
( spl20_157
| spl20_253
| spl20_178
| spl20_180 ),
inference(avatar_split_clause,[],[f147,f1314,f1305,f1693,f1208]) ).
fof(f1719,definition,
( spl20_257
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl20_257])],[avatar_definition]) ).
fof(f1723,definition,
( spl20_258
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl20_258])],[avatar_definition]) ).
fof(f1725,plain,
( e21 = op2(e20,e21)
| ~ spl20_258 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1726,plain,
( spl20_250
| spl20_255
| spl20_257
| spl20_258 ),
inference(avatar_split_clause,[],[f148,f1723,f1719,f1704,f1676]) ).
fof(f1727,plain,
( spl20_159
| spl20_177
| spl20_257
| spl20_190 ),
inference(avatar_split_clause,[],[f149,f1366,f1719,f1301,f1217]) ).
fof(f1728,plain,
( spl20_185
| spl20_187
| spl20_189
| spl20_191 ),
inference(avatar_split_clause,[],[f150,f1373,f1362,f1351,f1340]) ).
fof(f1730,definition,
( spl20_259
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl20_259])],[avatar_definition]) ).
fof(f1732,plain,
( e20 = op2(e21,e20)
| ~ spl20_259 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1741,definition,
( spl20_260
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl20_260])],[avatar_definition]) ).
fof(f1742,plain,
( e20 != op2(e20,e20)
| spl20_260 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1744,plain,
( spl20_251
| spl20_256
| spl20_259
| spl20_260 ),
inference(avatar_split_clause,[],[f158,f1741,f1730,f1710,f1682]) ).
fof(f1746,plain,
( spl20_245
| spl20_145
| spl20_147
| spl20_149 ),
inference(avatar_split_clause,[],[f112,f1172,f1163,f1154,f1651]) ).
fof(f1747,plain,
( spl20_146
| spl20_249
| spl20_169
| spl20_171 ),
inference(avatar_split_clause,[],[f113,f1272,f1263,f1670,f1158]) ).
fof(f1750,plain,
( spl20_246
| spl20_151
| spl20_153
| spl20_155 ),
inference(avatar_split_clause,[],[f116,f1199,f1190,f1181,f1655]) ).
fof(f1751,plain,
( spl20_152
| spl20_252
| spl20_173
| spl20_175 ),
inference(avatar_split_clause,[],[f117,f1291,f1282,f1689,f1185]) ).
fof(f1758,plain,
( spl20_248
| spl20_163
| spl20_165
| spl20_167 ),
inference(avatar_split_clause,[],[f124,f1253,f1244,f1235,f1663]) ).
fof(f1760,plain,
( spl20_166
| spl20_182
| spl20_258
| spl20_191 ),
inference(avatar_split_clause,[],[f126,f1373,f1723,f1324,f1248]) ).
fof(f1763,definition,
( spl20_261
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl20_261])],[avatar_definition]) ).
fof(f1767,definition,
( spl20_262
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl20_262])],[avatar_definition]) ).
fof(f1769,plain,
( e13 = op1(e12,e13)
| ~ spl20_262 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f1771,definition,
( spl20_263
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl20_263])],[avatar_definition]) ).
fof(f1773,plain,
( e13 = op1(e11,e13)
| ~ spl20_263 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1775,definition,
( spl20_264
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl20_264])],[avatar_definition]) ).
fof(f1777,plain,
( e13 = op1(e10,e13)
| ~ spl20_264 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1778,plain,
( spl20_261
| spl20_262
| spl20_263
| spl20_264 ),
inference(avatar_split_clause,[],[f80,f1775,f1771,f1767,f1763]) ).
fof(f1779,plain,
( spl20_261
| spl20_198
| spl20_200
| spl20_202 ),
inference(avatar_split_clause,[],[f81,f1433,f1424,f1415,f1763]) ).
fof(f1780,plain,
( spl20_197
| spl20_203
| spl20_209
| spl20_215 ),
inference(avatar_split_clause,[],[f82,f1492,f1465,f1438,f1411]) ).
fof(f1782,definition,
( spl20_265
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl20_265])],[avatar_definition]) ).
fof(f1784,plain,
( e12 = op1(e13,e12)
| ~ spl20_265 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1786,plain,
( spl20_199
| spl20_205
| spl20_211
| spl20_217 ),
inference(avatar_split_clause,[],[f84,f1501,f1474,f1447,f1420]) ).
fof(f1788,definition,
( spl20_266
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl20_266])],[avatar_definition]) ).
fof(f1790,plain,
( e11 = op1(e13,e11)
| ~ spl20_266 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1791,plain,
( spl20_199
| spl20_221
| spl20_266
| spl20_238 ),
inference(avatar_split_clause,[],[f85,f1601,f1788,f1520,f1420]) ).
fof(f1794,definition,
( spl20_267
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl20_267])],[avatar_definition]) ).
fof(f1796,plain,
( e10 = op1(e13,e10)
| ~ spl20_267 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1797,plain,
( spl20_201
| spl20_223
| spl20_237
| spl20_267 ),
inference(avatar_split_clause,[],[f87,f1794,f1597,f1529,f1429]) ).
fof(f1799,plain,
( spl20_262
| spl20_204
| spl20_206
| spl20_208 ),
inference(avatar_split_clause,[],[f89,f1460,f1451,f1442,f1767]) ).
fof(f1801,definition,
( spl20_268
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl20_268])],[avatar_definition]) ).
fof(f1805,definition,
( spl20_269
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl20_269])],[avatar_definition]) ).
fof(f1807,plain,
( e12 = op1(e11,e12)
| ~ spl20_269 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f1809,definition,
( spl20_270
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl20_270])],[avatar_definition]) ).
fof(f1811,plain,
( e12 = op1(e10,e12)
| ~ spl20_270 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1812,plain,
( spl20_265
| spl20_268
| spl20_269
| spl20_270 ),
inference(avatar_split_clause,[],[f90,f1809,f1805,f1801,f1782]) ).
fof(f1813,plain,
( spl20_203
| spl20_268
| spl20_226
| spl20_228 ),
inference(avatar_split_clause,[],[f91,f1552,f1543,f1801,f1438]) ).
fof(f1814,plain,
( spl20_221
| spl20_225
| spl20_229
| spl20_233 ),
inference(avatar_split_clause,[],[f92,f1577,f1558,f1539,f1520]) ).
fof(f1816,definition,
( spl20_271
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl20_271])],[avatar_definition]) ).
fof(f1818,plain,
( e11 = op1(e12,e11)
| ~ spl20_271 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1822,definition,
( spl20_272
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl20_272])],[avatar_definition]) ).
fof(f1824,plain,
( e10 = op1(e12,e10)
| ~ spl20_272 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f1825,plain,
( spl20_207
| spl20_227
| spl20_239
| spl20_272 ),
inference(avatar_split_clause,[],[f95,f1822,f1608,f1548,f1456]) ).
fof(f1826,plain,
( spl20_200
| spl20_206
| spl20_212
| spl20_218 ),
inference(avatar_split_clause,[],[f96,f1505,f1478,f1451,f1424]) ).
fof(f1827,plain,
( spl20_263
| spl20_210
| spl20_212
| spl20_214 ),
inference(avatar_split_clause,[],[f97,f1487,f1478,f1469,f1771]) ).
fof(f1828,plain,
( spl20_222
| spl20_226
| spl20_230
| spl20_234 ),
inference(avatar_split_clause,[],[f98,f1581,f1562,f1543,f1524]) ).
fof(f1831,definition,
( spl20_273
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl20_273])],[avatar_definition]) ).
fof(f1835,definition,
( spl20_274
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl20_274])],[avatar_definition]) ).
fof(f1837,plain,
( e11 = op1(e10,e11)
| ~ spl20_274 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1838,plain,
( spl20_266
| spl20_271
| spl20_273
| spl20_274 ),
inference(avatar_split_clause,[],[f100,f1835,f1831,f1816,f1788]) ).
fof(f1839,plain,
( spl20_211
| spl20_229
| spl20_273
| spl20_242 ),
inference(avatar_split_clause,[],[f101,f1623,f1831,f1558,f1474]) ).
fof(f1842,definition,
( spl20_275
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl20_275])],[avatar_definition]) ).
fof(f1844,plain,
( e10 = op1(e11,e10)
| ~ spl20_275 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1851,plain,
( spl20_217
| spl20_233
| spl20_274
| spl20_244 ),
inference(avatar_split_clause,[],[f109,f1634,f1835,f1577,f1501]) ).
fof(f1853,definition,
( spl20_276
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl20_276])],[avatar_definition]) ).
fof(f1856,plain,
( spl20_267
| spl20_272
| spl20_275
| spl20_276 ),
inference(avatar_split_clause,[],[f110,f1853,f1842,f1822,f1794]) ).
fof(f1858,plain,
( spl20_261
| spl20_197
| spl20_199
| spl20_201 ),
inference(avatar_split_clause,[],[f64,f1429,f1420,f1411,f1763]) ).
fof(f1859,plain,
( spl20_198
| spl20_265
| spl20_221
| spl20_223 ),
inference(avatar_split_clause,[],[f65,f1529,f1520,f1782,f1415]) ).
fof(f1862,plain,
( spl20_262
| spl20_203
| spl20_205
| spl20_207 ),
inference(avatar_split_clause,[],[f68,f1456,f1447,f1438,f1767]) ).
fof(f1863,plain,
( spl20_204
| spl20_268
| spl20_225
| spl20_227 ),
inference(avatar_split_clause,[],[f69,f1548,f1539,f1801,f1442]) ).
fof(f1864,plain,
( spl20_206
| spl20_226
| spl20_271
| spl20_239 ),
inference(avatar_split_clause,[],[f70,f1608,f1816,f1543,f1451]) ).
fof(f1866,plain,
( spl20_263
| spl20_209
| spl20_211
| spl20_213 ),
inference(avatar_split_clause,[],[f72,f1483,f1474,f1465,f1771]) ).
fof(f1868,plain,
( spl20_212
| spl20_230
| spl20_273
| spl20_241 ),
inference(avatar_split_clause,[],[f74,f1619,f1831,f1562,f1478]) ).
fof(f1870,plain,
( spl20_264
| spl20_215
| spl20_217
| spl20_219 ),
inference(avatar_split_clause,[],[f76,f1510,f1501,f1492,f1775]) ).
fof(f1871,plain,
( spl20_216
| spl20_270
| spl20_233
| spl20_235 ),
inference(avatar_split_clause,[],[f77,f1586,f1577,f1809,f1496]) ).
fof(f1872,plain,
( spl20_218
| spl20_234
| spl20_274
| spl20_243 ),
inference(avatar_split_clause,[],[f78,f1630,f1835,f1581,f1505]) ).
fof(f1874,plain,
~ spl20_261,
inference(avatar_split_clause,[],[f349,f1763]) ).
fof(f1875,plain,
~ spl20_268,
inference(avatar_split_clause,[],[f350,f1801]) ).
fof(f1876,plain,
~ spl20_273,
inference(avatar_split_clause,[],[f351,f1831]) ).
fof(f1877,plain,
~ spl20_276,
inference(avatar_split_clause,[],[f352,f1853]) ).
fof(f1878,plain,
~ spl20_245,
inference(avatar_split_clause,[],[f418,f1651]) ).
fof(f1879,plain,
~ spl20_252,
inference(avatar_split_clause,[],[f419,f1689]) ).
fof(f1880,plain,
~ spl20_257,
inference(avatar_split_clause,[],[f420,f1719]) ).
fof(f1881,plain,
~ spl20_260,
inference(avatar_split_clause,[],[f421,f1741]) ).
fof(f1882,plain,
spl20_220,
inference(avatar_split_clause,[],[f422,f1514]) ).
fof(f1883,plain,
spl20_168,
inference(avatar_split_clause,[],[f425,f1257]) ).
fof(f1885,plain,
( e20 != h1(e13)
| spl20_260 ),
inference(superposition,[],[f1742,f428]) ).
fof(f1886,plain,
( ~ spl20_73
| spl20_260 ),
inference(avatar_split_clause,[],[f1885,f1741,f809]) ).
fof(f1891,plain,
( e22 = h4(e13)
| ~ spl20_145 ),
inference(forward_demodulation,[],[f440,f1156]) ).
fof(f1892,plain,
( spl20_97
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f1891,f1154,f913]) ).
fof(f1897,plain,
( e11 != op1(e13,e13)
| ~ spl20_266 ),
inference(forward_demodulation,[],[f161,f1790]) ).
fof(f1898,plain,
( ~ spl20_199
| ~ spl20_266 ),
inference(avatar_split_clause,[],[f1897,f1788,f1420]) ).
fof(f1903,plain,
( e21 = e23
| ~ spl20_148
| ~ spl20_250 ),
inference(forward_demodulation,[],[f1168,f1678]) ).
fof(f1906,plain,
( $false
| ~ spl20_148
| ~ spl20_250 ),
inference(forward_subsumption_resolution,[],[f1903,f263]) ).
fof(f1907,plain,
( ~ spl20_148
| ~ spl20_250 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
fof(f1931,plain,
( e23 = h3(e13)
| ~ spl20_152 ),
inference(superposition,[],[f436,f1186]) ).
fof(f1933,plain,
( spl20_105
| ~ spl20_152 ),
inference(avatar_split_clause,[],[f1931,f1185,f953]) ).
fof(f1947,plain,
( e13 != op1(e12,e12)
| ~ spl20_262 ),
inference(forward_demodulation,[],[f166,f1769]) ).
fof(f1948,plain,
( ~ spl20_204
| ~ spl20_262 ),
inference(avatar_split_clause,[],[f1947,f1767,f1442]) ).
fof(f1988,plain,
( e12 != op1(e11,e11)
| ~ spl20_269 ),
inference(forward_demodulation,[],[f174,f1807]) ).
fof(f1989,plain,
( ~ spl20_230
| ~ spl20_269 ),
inference(avatar_split_clause,[],[f1988,f1805,f1562]) ).
fof(f2049,plain,
( e13 != op1(e11,e13)
| ~ spl20_262 ),
inference(forward_demodulation,[],[f186,f1769]) ).
fof(f2050,plain,
( ~ spl20_263
| ~ spl20_262 ),
inference(avatar_split_clause,[],[f2049,f1767,f1771]) ).
fof(f2061,plain,
( e23 = h1(e13)
| ~ spl20_168 ),
inference(superposition,[],[f428,f1258]) ).
fof(f2063,plain,
( spl20_129
| ~ spl20_168 ),
inference(avatar_split_clause,[],[f2061,f1257,f1073]) ).
fof(f2068,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl20_74
| ~ spl20_129 ),
inference(superposition,[],[f815,f1074]) ).
fof(f2069,plain,
( e21 != h1(op1(e13,e13))
| spl20_74
| ~ spl20_129
| ~ spl20_147 ),
inference(forward_demodulation,[],[f2068,f1165]) ).
fof(f2085,plain,
( e11 != op1(e10,e11)
| ~ spl20_266 ),
inference(forward_demodulation,[],[f199,f1790]) ).
fof(f2086,plain,
( ~ spl20_274
| ~ spl20_266 ),
inference(avatar_split_clause,[],[f2085,f1788,f1835]) ).
fof(f2087,plain,
( e20 = e23
| ~ spl20_146
| ~ spl20_171 ),
inference(superposition,[],[f1274,f1159]) ).
fof(f2092,plain,
( $false
| ~ spl20_146
| ~ spl20_171 ),
inference(forward_subsumption_resolution,[],[f2087,f265]) ).
fof(f2093,plain,
( ~ spl20_146
| ~ spl20_171 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2095,plain,
( e20 = e22
| ~ spl20_172
| ~ spl20_251 ),
inference(forward_demodulation,[],[f1277,f1684]) ).
fof(f2096,plain,
( $false
| ~ spl20_172
| ~ spl20_251 ),
inference(forward_subsumption_resolution,[],[f2095,f266]) ).
fof(f2097,plain,
( ~ spl20_172
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2096]) ).
fof(f2122,plain,
( e21 != op2(e23,e22)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f208,f1165]) ).
fof(f2127,plain,
( e21 = h3(e13)
| ~ spl20_173 ),
inference(superposition,[],[f1284,f436]) ).
fof(f2154,plain,
( e20 = h3(e13)
| ~ spl20_175 ),
inference(superposition,[],[f436,f1293]) ).
fof(f2156,plain,
( spl20_27
| ~ spl20_175 ),
inference(avatar_split_clause,[],[f2154,f1291,f617]) ).
fof(f2168,plain,
( e22 != op2(e23,e20)
| ~ spl20_249 ),
inference(forward_demodulation,[],[f212,f1672]) ).
fof(f2179,plain,
( e21 = e22
| ~ spl20_177
| ~ spl20_253 ),
inference(superposition,[],[f1303,f1695]) ).
fof(f2183,plain,
( $false
| ~ spl20_177
| ~ spl20_253 ),
inference(forward_subsumption_resolution,[],[f2179,f264]) ).
fof(f2184,plain,
( ~ spl20_177
| ~ spl20_253 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2187,plain,
( e23 != op2(e22,e22)
| ~ spl20_246 ),
inference(forward_demodulation,[],[f214,f1657]) ).
fof(f2188,plain,
( e23 != h3(e13)
| ~ spl20_246 ),
inference(forward_demodulation,[],[f2187,f436]) ).
fof(f2200,plain,
( e22 = e23
| ~ spl20_157
| ~ spl20_247 ),
inference(forward_demodulation,[],[f1661,f1210]) ).
fof(f2203,plain,
( $false
| ~ spl20_157
| ~ spl20_247 ),
inference(forward_subsumption_resolution,[],[f2200,f262]) ).
fof(f2204,plain,
( ~ spl20_157
| ~ spl20_247 ),
inference(avatar_contradiction_clause,[],[f2203]) ).
fof(f2213,plain,
op2(e22,e21) != h3(e13),
inference(forward_demodulation,[],[f216,f436]) ).
fof(f2214,plain,
( e20 != op2(e22,e21)
| ~ spl20_27 ),
inference(forward_demodulation,[],[f2213,f618]) ).
fof(f2215,plain,
( ~ spl20_187
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f2214,f617,f1351]) ).
fof(f2237,plain,
op2(e22,e20) != h3(e13),
inference(forward_demodulation,[],[f218,f436]) ).
fof(f2257,plain,
( e22 = h2(e13)
| ~ spl20_178 ),
inference(superposition,[],[f432,f1306]) ).
fof(f2259,plain,
( spl20_121
| ~ spl20_178 ),
inference(avatar_split_clause,[],[f2257,f1305,f1033]) ).
fof(f2288,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f225,f432]) ).
fof(f2295,plain,
( spl20_113
| ~ spl20_173 ),
inference(avatar_split_clause,[],[f2127,f1282,f993]) ).
fof(f2301,plain,
( e21 != op2(e22,e20)
| ~ spl20_255 ),
inference(forward_demodulation,[],[f219,f1706]) ).
fof(f2303,plain,
( ~ spl20_105
| ~ spl20_246 ),
inference(avatar_split_clause,[],[f2188,f1655,f953]) ).
fof(f2309,plain,
( ~ spl20_188
| ~ spl20_255 ),
inference(avatar_split_clause,[],[f2301,f1704,f1355]) ).
fof(f2317,plain,
( e21 != op2(e22,e20)
| ~ spl20_113 ),
inference(forward_demodulation,[],[f2237,f994]) ).
fof(f2318,plain,
( ~ spl20_188
| ~ spl20_113 ),
inference(avatar_split_clause,[],[f2317,f993,f1355]) ).
fof(f2339,plain,
( e20 != op2(e20,e22)
| ~ spl20_167 ),
inference(forward_demodulation,[],[f226,f1255]) ).
fof(f2340,plain,
( ~ spl20_183
| ~ spl20_167 ),
inference(avatar_split_clause,[],[f2339,f1253,f1329]) ).
fof(f2341,plain,
( e20 != op2(e20,e21)
| ~ spl20_167 ),
inference(forward_demodulation,[],[f227,f1255]) ).
fof(f2349,plain,
( e20 != h2(e13)
| ~ spl20_259 ),
inference(superposition,[],[f2288,f1732]) ).
fof(f2397,plain,
( e20 != op2(e23,e21)
| ~ spl20_171 ),
inference(forward_demodulation,[],[f210,f1274]) ).
fof(f2407,plain,
( e21 != op2(e21,e23)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f233,f1165]) ).
fof(f2413,plain,
( e21 != op2(e20,e23)
| ~ spl20_147 ),
inference(forward_demodulation,[],[f235,f1165]) ).
fof(f2432,plain,
( e20 = e23
| ~ spl20_148
| ~ spl20_185 ),
inference(superposition,[],[f1342,f1168]) ).
fof(f2437,plain,
( $false
| ~ spl20_148
| ~ spl20_185 ),
inference(forward_subsumption_resolution,[],[f2432,f265]) ).
fof(f2438,plain,
( ~ spl20_148
| ~ spl20_185 ),
inference(avatar_contradiction_clause,[],[f2437]) ).
fof(f2453,plain,
( e20 = h2(e13)
| ~ spl20_189 ),
inference(superposition,[],[f432,f1364]) ).
fof(f2459,plain,
( spl20_50
| ~ spl20_189 ),
inference(avatar_split_clause,[],[f2453,f1362,f713]) ).
fof(f2475,plain,
( e20 = e21
| ~ spl20_191
| ~ spl20_258 ),
inference(superposition,[],[f1725,f1375]) ).
fof(f2477,plain,
( $false
| ~ spl20_191
| ~ spl20_258 ),
inference(forward_subsumption_resolution,[],[f2475,f267]) ).
fof(f2478,plain,
( ~ spl20_191
| ~ spl20_258 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2517,plain,
( e13 != op1(e13,e11)
| ~ spl20_198 ),
inference(superposition,[],[f162,f1416]) ).
fof(f2519,plain,
( e13 != op1(e12,e12)
| ~ spl20_198 ),
inference(superposition,[],[f190,f1416]) ).
fof(f2521,plain,
( ~ spl20_204
| ~ spl20_198 ),
inference(avatar_split_clause,[],[f2519,f1415,f1442]) ).
fof(f2523,plain,
( ~ spl20_200
| ~ spl20_198 ),
inference(avatar_split_clause,[],[f2517,f1415,f1424]) ).
fof(f2537,plain,
( e11 != op1(e13,e12)
| ~ spl20_199 ),
inference(superposition,[],[f160,f1422]) ).
fof(f2539,plain,
( e11 != op1(e11,e13)
| ~ spl20_199 ),
inference(superposition,[],[f185,f1422]) ).
fof(f2540,plain,
( e11 != op1(e10,e13)
| ~ spl20_199 ),
inference(superposition,[],[f187,f1422]) ).
fof(f2544,plain,
( e21 != h1(e11)
| spl20_74
| ~ spl20_129
| ~ spl20_147
| ~ spl20_199 ),
inference(superposition,[],[f2069,f1422]) ).
fof(f2547,plain,
( ~ spl20_139
| spl20_74
| ~ spl20_129
| ~ spl20_147
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f2544,f1420,f1163,f1073,f813,f1123]) ).
fof(f2549,plain,
( ~ spl20_217
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f2540,f1420,f1501]) ).
fof(f2550,plain,
( ~ spl20_211
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f2539,f1420,f1474]) ).
fof(f2558,plain,
( e12 = e13
| ~ spl20_203
| ~ spl20_262 ),
inference(superposition,[],[f1440,f1769]) ).
fof(f2562,plain,
( $false
| ~ spl20_203
| ~ spl20_262 ),
inference(forward_subsumption_resolution,[],[f2558,f256]) ).
fof(f2563,plain,
( ~ spl20_203
| ~ spl20_262 ),
inference(avatar_contradiction_clause,[],[f2562]) ).
fof(f2572,plain,
( e12 != op1(e11,e11)
| ~ spl20_209 ),
inference(superposition,[],[f173,f1467]) ).
fof(f2573,plain,
( ~ spl20_230
| ~ spl20_209 ),
inference(avatar_split_clause,[],[f2572,f1465,f1562]) ).
fof(f2591,plain,
( e13 != op1(e11,e11)
| ~ spl20_263 ),
inference(superposition,[],[f173,f1773]) ).
fof(f2599,plain,
( ~ spl20_212
| ~ spl20_263 ),
inference(avatar_split_clause,[],[f2591,f1771,f1478]) ).
fof(f2607,plain,
( e11 != op1(e12,e10)
| ~ spl20_271 ),
inference(superposition,[],[f171,f1818]) ).
fof(f2608,plain,
( ~ spl20_240
| ~ spl20_271 ),
inference(avatar_split_clause,[],[f2607,f1816,f1612]) ).
fof(f2616,plain,
( e11 != op1(e13,e10)
| ~ spl20_199 ),
inference(forward_demodulation,[],[f163,f1422]) ).
fof(f2618,plain,
( ~ spl20_238
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f2616,f1420,f1601]) ).
fof(f2628,plain,
( e12 != op1(e10,e13)
| ~ spl20_203 ),
inference(forward_demodulation,[],[f188,f1440]) ).
fof(f2629,plain,
( ~ spl20_215
| ~ spl20_203 ),
inference(avatar_split_clause,[],[f2628,f1438,f1492]) ).
fof(f2643,plain,
( e10 != op1(e12,e11)
| ~ spl20_207 ),
inference(forward_demodulation,[],[f167,f1458]) ).
fof(f2647,plain,
( e10 != op1(e10,e13)
| ~ spl20_207 ),
inference(forward_demodulation,[],[f188,f1458]) ).
fof(f2654,plain,
( ~ spl20_219
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f2647,f1456,f1510]) ).
fof(f2657,plain,
( ~ spl20_239
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f2643,f1456,f1608]) ).
fof(f2674,plain,
( e12 != op1(e13,e10)
| ~ spl20_197 ),
inference(forward_demodulation,[],[f163,f1413]) ).
fof(f2675,plain,
( ~ spl20_224
| ~ spl20_197 ),
inference(avatar_split_clause,[],[f2674,f1411,f1533]) ).
fof(f2676,plain,
( ~ spl20_221
| ~ spl20_199 ),
inference(avatar_split_clause,[],[f2537,f1420,f1520]) ).
fof(f2686,plain,
( e12 != op1(e13,e10)
| ~ spl20_265 ),
inference(forward_demodulation,[],[f164,f1784]) ).
fof(f2687,plain,
( ~ spl20_224
| ~ spl20_265 ),
inference(avatar_split_clause,[],[f2686,f1782,f1533]) ).
fof(f2707,plain,
( e13 != op1(e11,e11)
| ~ spl20_200 ),
inference(superposition,[],[f197,f1425]) ).
fof(f2709,plain,
( ~ spl20_212
| ~ spl20_200 ),
inference(avatar_split_clause,[],[f2707,f1424,f1478]) ).
fof(f2711,plain,
( e13 != op1(e10,e11)
| ~ spl20_200 ),
inference(forward_demodulation,[],[f199,f1425]) ).
fof(f2714,plain,
( e13 != op1(e10,e12)
| ~ spl20_204 ),
inference(superposition,[],[f194,f1443]) ).
fof(f2716,plain,
( e13 != op1(e12,e11)
| ~ spl20_204 ),
inference(superposition,[],[f168,f1443]) ).
fof(f2719,plain,
( ~ spl20_216
| ~ spl20_204 ),
inference(avatar_split_clause,[],[f2714,f1442,f1496]) ).
fof(f2724,plain,
( op1(e10,e10) != e13
| ~ spl20_208 ),
inference(superposition,[],[f206,f1461]) ).
fof(f2727,plain,
( ~ spl20_220
| ~ spl20_208 ),
inference(avatar_split_clause,[],[f2724,f1460,f1514]) ).
fof(f2749,plain,
( e10 != op1(e10,e13)
| ~ spl20_213 ),
inference(superposition,[],[f189,f1485]) ).
fof(f2753,plain,
( ~ spl20_219
| ~ spl20_213 ),
inference(avatar_split_clause,[],[f2749,f1483,f1510]) ).
fof(f2756,plain,
( ~ spl20_218
| ~ spl20_200 ),
inference(avatar_split_clause,[],[f2711,f1424,f1505]) ).
fof(f2764,plain,
( e22 != op2(e21,e20)
| ~ spl20_172 ),
inference(forward_demodulation,[],[f251,f1277]) ).
fof(f2765,plain,
( e10 != op1(e13,e12)
| ~ spl20_201 ),
inference(superposition,[],[f160,f1431]) ).
fof(f2766,plain,
( e10 != op1(e13,e11)
| ~ spl20_201 ),
inference(superposition,[],[f161,f1431]) ).
fof(f2768,plain,
( e10 != op1(e11,e13)
| ~ spl20_201 ),
inference(superposition,[],[f185,f1431]) ).
fof(f2769,plain,
( e10 != op1(e10,e13)
| ~ spl20_201 ),
inference(superposition,[],[f187,f1431]) ).
fof(f2779,plain,
( ~ spl20_219
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f2769,f1429,f1510]) ).
fof(f2783,plain,
( ~ spl20_223
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f2765,f1429,f1529]) ).
fof(f2810,plain,
( op1(e10,e10) != e13
| ~ spl20_202 ),
inference(superposition,[],[f205,f1434]) ).
fof(f2814,plain,
( ~ spl20_220
| ~ spl20_202 ),
inference(avatar_split_clause,[],[f2810,f1433,f1514]) ).
fof(f2823,plain,
e22 = op2(h1(e13),e20),
inference(forward_demodulation,[],[f426,f428]) ).
fof(f2824,plain,
( e22 = op2(e23,e20)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2823,f1074]) ).
fof(f2828,plain,
( e11 != op1(e10,e13)
| ~ spl20_211 ),
inference(superposition,[],[f189,f1476]) ).
fof(f2831,plain,
( ~ spl20_217
| ~ spl20_211 ),
inference(avatar_split_clause,[],[f2828,f1474,f1501]) ).
fof(f2851,plain,
h1(e12) = op2(h1(e13),e20),
inference(forward_demodulation,[],[f429,f428]) ).
fof(f2852,plain,
( op2(e23,e20) = h1(e12)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2851,f1074]) ).
fof(f2853,plain,
( e22 = h1(e12)
| ~ spl20_129
| ~ spl20_172 ),
inference(forward_demodulation,[],[f2852,f1277]) ).
fof(f2854,plain,
( spl20_134
| ~ spl20_129
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f2853,f1276,f1073,f1098]) ).
fof(f2856,plain,
h2(e12) = op2(h2(e13),e21),
inference(forward_demodulation,[],[f433,f432]) ).
fof(f2861,plain,
h3(e12) = op2(h3(e13),e22),
inference(forward_demodulation,[],[f437,f436]) ).
fof(f2869,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[],[f424,f423]) ).
fof(f2870,plain,
( e10 = e11
| ~ spl20_272 ),
inference(forward_demodulation,[],[f2869,f1824]) ).
fof(f2871,plain,
( $false
| ~ spl20_272 ),
inference(forward_subsumption_resolution,[],[f2870,f261]) ).
fof(f2872,plain,
~ spl20_272,
inference(avatar_contradiction_clause,[],[f2871]) ).
fof(f2873,plain,
spl20_240,
inference(avatar_split_clause,[],[f2869,f1612]) ).
fof(f2878,plain,
( e11 != op1(e12,e10)
| ~ spl20_205 ),
inference(superposition,[],[f169,f1449]) ).
fof(f2883,plain,
( ~ spl20_240
| ~ spl20_205 ),
inference(avatar_split_clause,[],[f2878,f1447,f1612]) ).
fof(f2912,plain,
e21 = op2(op2(h1(e13),e20),e20),
inference(forward_demodulation,[],[f427,f428]) ).
fof(f2913,plain,
( e21 = op2(op2(e23,e20),e20)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2912,f1074]) ).
fof(f2914,plain,
( e21 = op2(e22,e20)
| ~ spl20_129
| ~ spl20_172 ),
inference(forward_demodulation,[],[f2913,f1277]) ).
fof(f2915,plain,
( e20 = e21
| ~ spl20_129
| ~ spl20_172
| ~ spl20_256 ),
inference(forward_demodulation,[],[f2914,f1712]) ).
fof(f2916,plain,
( $false
| ~ spl20_129
| ~ spl20_172
| ~ spl20_256 ),
inference(forward_subsumption_resolution,[],[f2915,f267]) ).
fof(f2917,plain,
( ~ spl20_129
| ~ spl20_172
| ~ spl20_256 ),
inference(avatar_contradiction_clause,[],[f2916]) ).
fof(f2920,plain,
( ~ spl20_172
| ~ spl20_249 ),
inference(avatar_split_clause,[],[f2168,f1670,f1276]) ).
fof(f2921,plain,
( e21 != op2(e22,e20)
| ~ spl20_190 ),
inference(forward_demodulation,[],[f252,f1367]) ).
fof(f2927,plain,
op2(e23,e20) != h1(e13),
inference(forward_demodulation,[],[f253,f428]) ).
fof(f2928,plain,
( spl20_172
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f2824,f1073,f1276]) ).
fof(f2930,plain,
( ~ spl20_169
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f2122,f1163,f1263]) ).
fof(f2935,plain,
( e22 != op2(e20,e23)
| ~ spl20_254 ),
inference(forward_demodulation,[],[f226,f1699]) ).
fof(f2937,plain,
op2(e20,e23) != h1(e13),
inference(forward_demodulation,[],[f229,f428]) ).
fof(f2938,plain,
( ~ spl20_165
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f2413,f1163,f1244]) ).
fof(f2942,plain,
( ~ spl20_159
| ~ spl20_147 ),
inference(avatar_split_clause,[],[f2407,f1163,f1217]) ).
fof(f2946,plain,
( ~ spl20_188
| ~ spl20_190 ),
inference(avatar_split_clause,[],[f2921,f1366,f1355]) ).
fof(f2951,plain,
( e23 != op2(e23,e20)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2927,f1074]) ).
fof(f2957,plain,
( ~ spl20_163
| ~ spl20_254 ),
inference(avatar_split_clause,[],[f2935,f1697,f1235]) ).
fof(f2959,plain,
( e23 != op2(e20,e23)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2937,f1074]) ).
fof(f2966,plain,
( ~ spl20_248
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f2959,f1073,f1663]) ).
fof(f2974,plain,
( ~ spl20_180
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f2764,f1276,f1314]) ).
fof(f2975,plain,
( spl20_188
| ~ spl20_129
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f2914,f1276,f1073,f1355]) ).
fof(f2979,plain,
( e22 != op2(e20,e21)
| ~ spl20_254 ),
inference(forward_demodulation,[],[f228,f1699]) ).
fof(f2980,plain,
op2(e20,e21) != h1(e13),
inference(forward_demodulation,[],[f231,f428]) ).
fof(f3000,plain,
( ~ spl20_182
| ~ spl20_254 ),
inference(avatar_split_clause,[],[f2979,f1697,f1324]) ).
fof(f3001,plain,
( e23 != op2(e20,e21)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f2980,f1074]) ).
fof(f3008,plain,
( ~ spl20_166
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f3001,f1073,f1248]) ).
fof(f3011,plain,
( ~ spl20_185
| ~ spl20_171 ),
inference(avatar_split_clause,[],[f2397,f1272,f1340]) ).
fof(f3016,plain,
( ~ spl20_150
| ~ spl20_129 ),
inference(avatar_split_clause,[],[f2951,f1073,f1176]) ).
fof(f3018,plain,
( ~ spl20_50
| ~ spl20_259 ),
inference(avatar_split_clause,[],[f2349,f1730,f713]) ).
fof(f3023,plain,
( ~ spl20_191
| ~ spl20_167 ),
inference(avatar_split_clause,[],[f2341,f1253,f1373]) ).
fof(f3050,plain,
( e20 = h4(e13)
| ~ spl20_149 ),
inference(superposition,[],[f440,f1174]) ).
fof(f3055,plain,
( spl20_4
| ~ spl20_149 ),
inference(avatar_split_clause,[],[f3050,f1172,f521]) ).
fof(f3094,plain,
( op2(e23,e22) = h3(e12)
| ~ spl20_105 ),
inference(forward_demodulation,[],[f2861,f954]) ).
fof(f3098,plain,
( op2(e22,e21) = h2(e12)
| ~ spl20_121 ),
inference(forward_demodulation,[],[f2856,f1034]) ).
fof(f3106,plain,
op2(e23,e22) != h4(e13),
inference(forward_demodulation,[],[f208,f440]) ).
fof(f3107,plain,
( e20 != op2(e23,e22)
| ~ spl20_4 ),
inference(forward_demodulation,[],[f3106,f522]) ).
fof(f3108,plain,
( e20 != h3(e12)
| ~ spl20_4
| ~ spl20_105 ),
inference(forward_demodulation,[],[f3107,f3094]) ).
fof(f3109,plain,
( ~ spl20_44
| ~ spl20_4
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f3108,f953,f521,f686]) ).
fof(f3115,plain,
( e21 = e23
| ~ spl20_159
| ~ spl20_247 ),
inference(superposition,[],[f1219,f1661]) ).
fof(f3119,plain,
( $false
| ~ spl20_159
| ~ spl20_247 ),
inference(forward_subsumption_resolution,[],[f3115,f263]) ).
fof(f3120,plain,
( ~ spl20_159
| ~ spl20_247 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3122,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f211,f440]) ).
fof(f3183,plain,
( e20 != op2(e21,e22)
| ~ spl20_259 ),
inference(forward_demodulation,[],[f224,f1732]) ).
fof(f3184,plain,
( ~ spl20_179
| ~ spl20_259 ),
inference(avatar_split_clause,[],[f3183,f1730,f1310]) ).
fof(f3197,plain,
( e20 = h3(e12)
| ~ spl20_105
| ~ spl20_171 ),
inference(superposition,[],[f3094,f1274]) ).
fof(f3204,plain,
( spl20_44
| ~ spl20_105
| ~ spl20_171 ),
inference(avatar_split_clause,[],[f3197,f1272,f953,f686]) ).
fof(f3213,plain,
( e22 != h4(e13)
| ~ spl20_172 ),
inference(superposition,[],[f3122,f1277]) ).
fof(f3252,plain,
( e20 = h2(e12)
| ~ spl20_121
| ~ spl20_187 ),
inference(superposition,[],[f3098,f1353]) ).
fof(f3256,plain,
( spl20_67
| ~ spl20_121
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f3252,f1351,f1033,f782]) ).
fof(f3282,plain,
h1(e11) = op2(op2(h1(e13),e20),e20),
inference(forward_demodulation,[],[f430,f428]) ).
fof(f3283,plain,
( h1(e11) = op2(op2(e23,e20),e20)
| ~ spl20_129 ),
inference(forward_demodulation,[],[f3282,f1074]) ).
fof(f3284,plain,
( op2(e22,e20) = h1(e11)
| ~ spl20_129
| ~ spl20_172 ),
inference(forward_demodulation,[],[f3283,f1277]) ).
fof(f3285,plain,
( e21 = h1(e11)
| ~ spl20_129
| ~ spl20_172
| ~ spl20_188 ),
inference(forward_demodulation,[],[f3284,f1356]) ).
fof(f3289,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e22)
| spl20_75
| ~ spl20_134 ),
inference(forward_demodulation,[],[f819,f1099]) ).
fof(f3290,plain,
( spl20_139
| ~ spl20_129
| ~ spl20_172
| ~ spl20_188 ),
inference(avatar_split_clause,[],[f3285,f1355,f1276,f1073,f1123]) ).
fof(f3292,plain,
( op2(e23,e22) != h1(op1(e13,e12))
| spl20_75
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3289,f1074]) ).
fof(f3326,plain,
( e13 != op1(e10,e11)
| ~ spl20_206 ),
inference(superposition,[],[f200,f1452]) ).
fof(f3337,plain,
( e10 != op1(e10,e12)
| ~ spl20_219 ),
inference(superposition,[],[f178,f1512]) ).
fof(f3344,plain,
( ~ spl20_235
| ~ spl20_219 ),
inference(avatar_split_clause,[],[f3337,f1510,f1586]) ).
fof(f3346,plain,
( ~ spl20_206
| ~ spl20_204 ),
inference(avatar_split_clause,[],[f2716,f1442,f1451]) ).
fof(f3349,plain,
( h3(e12) != h1(op1(e13,e12))
| spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3292,f3094]) ).
fof(f3350,plain,
( e20 != h1(op1(e13,e12))
| ~ spl20_44
| spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3349,f687]) ).
fof(f3353,plain,
( op1(e10,e10) != e13
| ~ spl20_264 ),
inference(superposition,[],[f181,f1777]) ).
fof(f3356,plain,
( ~ spl20_220
| ~ spl20_264 ),
inference(avatar_split_clause,[],[f3353,f1775,f1514]) ).
fof(f3392,plain,
( e12 = op1(e13,e10)
| ~ spl20_220 ),
inference(superposition,[],[f423,f1515]) ).
fof(f3394,plain,
( e10 = e12
| ~ spl20_220
| ~ spl20_267 ),
inference(forward_demodulation,[],[f3392,f1796]) ).
fof(f3395,plain,
( $false
| ~ spl20_220
| ~ spl20_267 ),
inference(forward_subsumption_resolution,[],[f3394,f260]) ).
fof(f3396,plain,
( ~ spl20_220
| ~ spl20_267 ),
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f3402,plain,
( spl20_224
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f3392,f1514,f1533]) ).
fof(f3413,plain,
( e10 != op1(e12,e12)
| ~ spl20_223 ),
inference(superposition,[],[f190,f1531]) ).
fof(f3419,plain,
( e20 != h1(e10)
| ~ spl20_44
| spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_223 ),
inference(superposition,[],[f3350,f1531]) ).
fof(f3420,plain,
( $false
| ~ spl20_44
| spl20_75
| ~ spl20_92
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f3419,f889]) ).
fof(f3421,plain,
( ~ spl20_44
| spl20_75
| ~ spl20_92
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_223 ),
inference(avatar_contradiction_clause,[],[f3420]) ).
fof(f3426,plain,
( h1(op1(e13,e12)) = op2(h1(e13),e22)
| ~ spl20_75
| ~ spl20_134 ),
inference(forward_demodulation,[],[f818,f1099]) ).
fof(f3427,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| spl20_76
| ~ spl20_139 ),
inference(forward_demodulation,[],[f823,f1124]) ).
fof(f3428,plain,
( op2(e23,e22) = h1(op1(e13,e12))
| ~ spl20_75
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3426,f1074]) ).
fof(f3429,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| spl20_76
| ~ spl20_129
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3427,f1074]) ).
fof(f3431,plain,
( op2(e23,e21) != h1(e13)
| spl20_76
| ~ spl20_129
| ~ spl20_139
| ~ spl20_200 ),
inference(forward_demodulation,[],[f3429,f1425]) ).
fof(f3433,plain,
( e23 != op2(e23,e21)
| spl20_76
| ~ spl20_129
| ~ spl20_139
| ~ spl20_200 ),
inference(forward_demodulation,[],[f3431,f1074]) ).
fof(f3434,plain,
( $false
| spl20_76
| ~ spl20_129
| ~ spl20_139
| ~ spl20_148
| ~ spl20_200 ),
inference(forward_subsumption_resolution,[],[f3433,f1168]) ).
fof(f3435,plain,
( spl20_76
| ~ spl20_129
| ~ spl20_139
| ~ spl20_148
| ~ spl20_200 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3437,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| spl20_77
| ~ spl20_92 ),
inference(forward_demodulation,[],[f827,f889]) ).
fof(f3439,plain,
( op2(e23,e20) != h1(op1(e13,e10))
| spl20_77
| ~ spl20_92
| ~ spl20_129 ),
inference(forward_demodulation,[],[f3437,f1074]) ).
fof(f3441,plain,
( e22 != h1(op1(e13,e10))
| spl20_77
| ~ spl20_92
| ~ spl20_129
| ~ spl20_172 ),
inference(forward_demodulation,[],[f3439,f1277]) ).
fof(f3443,plain,
( e12 != op1(e12,e10)
| ~ spl20_224 ),
inference(superposition,[],[f202,f1534]) ).
fof(f3448,plain,
( e22 != h1(e12)
| spl20_77
| ~ spl20_92
| ~ spl20_129
| ~ spl20_172
| ~ spl20_224 ),
inference(superposition,[],[f3441,f1534]) ).
fof(f3449,plain,
( $false
| spl20_77
| ~ spl20_92
| ~ spl20_129
| ~ spl20_134
| ~ spl20_172
| ~ spl20_224 ),
inference(forward_subsumption_resolution,[],[f3448,f1099]) ).
fof(f3450,plain,
( spl20_77
| ~ spl20_92
| ~ spl20_129
| ~ spl20_134
| ~ spl20_172
| ~ spl20_224 ),
inference(avatar_contradiction_clause,[],[f3449]) ).
fof(f3453,plain,
( ~ spl20_228
| ~ spl20_224 ),
inference(avatar_split_clause,[],[f3443,f1533,f1552]) ).
fof(f3455,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| spl20_78
| ~ spl20_129 ),
inference(forward_demodulation,[],[f831,f1074]) ).
fof(f3457,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| spl20_78
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3455,f1099]) ).
fof(f3459,plain,
( op2(e22,e23) != h1(e12)
| spl20_78
| ~ spl20_129
| ~ spl20_134
| ~ spl20_203 ),
inference(forward_demodulation,[],[f3457,f1440]) ).
fof(f3461,plain,
( e22 != op2(e22,e23)
| spl20_78
| ~ spl20_129
| ~ spl20_134
| ~ spl20_203 ),
inference(forward_demodulation,[],[f3459,f1099]) ).
fof(f3465,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| spl20_79
| ~ spl20_134 ),
inference(forward_demodulation,[],[f835,f1099]) ).
fof(f3467,plain,
( op2(e22,e22) != h1(e13)
| spl20_79
| ~ spl20_134
| ~ spl20_204 ),
inference(forward_demodulation,[],[f3465,f1443]) ).
fof(f3469,plain,
( e23 != op2(e22,e22)
| spl20_79
| ~ spl20_129
| ~ spl20_134
| ~ spl20_204 ),
inference(forward_demodulation,[],[f3467,f1074]) ).
fof(f3471,plain,
( $false
| spl20_79
| ~ spl20_129
| ~ spl20_134
| ~ spl20_152
| ~ spl20_204 ),
inference(forward_subsumption_resolution,[],[f3469,f1186]) ).
fof(f3472,plain,
( spl20_79
| ~ spl20_129
| ~ spl20_134
| ~ spl20_152
| ~ spl20_204 ),
inference(avatar_contradiction_clause,[],[f3471]) ).
fof(f3474,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e21)
| spl20_80
| ~ spl20_139 ),
inference(forward_demodulation,[],[f839,f1124]) ).
fof(f3476,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| spl20_80
| ~ spl20_134
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3474,f1099]) ).
fof(f3478,plain,
( h2(e12) != h1(op1(e12,e11))
| spl20_80
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3476,f3098]) ).
fof(f3479,plain,
( e20 != h1(op1(e12,e11))
| ~ spl20_67
| spl20_80
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3478,f783]) ).
fof(f3482,plain,
( e11 != op1(e12,e10)
| ~ spl20_225 ),
inference(superposition,[],[f170,f1541]) ).
fof(f3491,plain,
( ~ spl20_240
| ~ spl20_225 ),
inference(avatar_split_clause,[],[f3482,f1539,f1612]) ).
fof(f3504,plain,
( e12 != op1(e10,e11)
| ~ spl20_230 ),
inference(superposition,[],[f201,f1563]) ).
fof(f3518,plain,
( e11 != op1(e10,e11)
| ~ spl20_233 ),
inference(superposition,[],[f180,f1579]) ).
fof(f3532,plain,
( e10 != op1(e11,e11)
| ~ spl20_239 ),
inference(superposition,[],[f198,f1610]) ).
fof(f3533,plain,
( e10 != op1(e10,e11)
| ~ spl20_239 ),
inference(superposition,[],[f200,f1610]) ).
fof(f3539,plain,
( e20 != h1(e10)
| ~ spl20_67
| spl20_80
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139
| ~ spl20_239 ),
inference(superposition,[],[f3479,f1610]) ).
fof(f3540,plain,
( $false
| ~ spl20_67
| spl20_80
| ~ spl20_92
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139
| ~ spl20_239 ),
inference(forward_subsumption_resolution,[],[f3539,f889]) ).
fof(f3541,plain,
( ~ spl20_67
| spl20_80
| ~ spl20_92
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139
| ~ spl20_239 ),
inference(avatar_contradiction_clause,[],[f3540]) ).
fof(f3553,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| spl20_81
| ~ spl20_92 ),
inference(forward_demodulation,[],[f843,f889]) ).
fof(f3557,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| spl20_81
| ~ spl20_92
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3553,f1099]) ).
fof(f3561,plain,
( e21 != h1(op1(e12,e10))
| spl20_81
| ~ spl20_92
| ~ spl20_134
| ~ spl20_188 ),
inference(forward_demodulation,[],[f3557,f1356]) ).
fof(f3569,plain,
( e21 != h1(e11)
| spl20_81
| ~ spl20_92
| ~ spl20_134
| ~ spl20_188
| ~ spl20_240 ),
inference(superposition,[],[f3561,f1613]) ).
fof(f3570,plain,
( $false
| spl20_81
| ~ spl20_92
| ~ spl20_134
| ~ spl20_139
| ~ spl20_188
| ~ spl20_240 ),
inference(forward_subsumption_resolution,[],[f3569,f1124]) ).
fof(f3571,plain,
( spl20_81
| ~ spl20_92
| ~ spl20_134
| ~ spl20_139
| ~ spl20_188
| ~ spl20_240 ),
inference(avatar_contradiction_clause,[],[f3570]) ).
fof(f3575,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl20_82
| ~ spl20_129 ),
inference(forward_demodulation,[],[f847,f1074]) ).
fof(f3577,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| spl20_82
| ~ spl20_129
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3575,f1124]) ).
fof(f3579,plain,
( op2(e21,e23) != h1(e13)
| spl20_82
| ~ spl20_129
| ~ spl20_139
| ~ spl20_263 ),
inference(forward_demodulation,[],[f3577,f1773]) ).
fof(f3581,plain,
( e23 != op2(e21,e23)
| spl20_82
| ~ spl20_129
| ~ spl20_139
| ~ spl20_263 ),
inference(forward_demodulation,[],[f3579,f1074]) ).
fof(f3582,plain,
( $false
| spl20_82
| ~ spl20_129
| ~ spl20_139
| ~ spl20_247
| ~ spl20_263 ),
inference(forward_subsumption_resolution,[],[f3581,f1661]) ).
fof(f3583,plain,
( spl20_82
| ~ spl20_129
| ~ spl20_139
| ~ spl20_247
| ~ spl20_263 ),
inference(avatar_contradiction_clause,[],[f3582]) ).
fof(f3585,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| spl20_83
| ~ spl20_134 ),
inference(forward_demodulation,[],[f851,f1099]) ).
fof(f3587,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| spl20_83
| ~ spl20_134
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3585,f1124]) ).
fof(f3589,plain,
( op2(e21,e22) != h1(e11)
| spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_229 ),
inference(forward_demodulation,[],[f3587,f1560]) ).
fof(f3591,plain,
( e21 != op2(e21,e22)
| spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_229 ),
inference(forward_demodulation,[],[f3589,f1124]) ).
fof(f3592,plain,
( $false
| spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177
| ~ spl20_229 ),
inference(forward_subsumption_resolution,[],[f3591,f1303]) ).
fof(f3593,plain,
( spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177
| ~ spl20_229 ),
inference(avatar_contradiction_clause,[],[f3592]) ).
fof(f3594,plain,
( h1(op1(e11,e12)) = op2(h1(e11),e22)
| ~ spl20_83
| ~ spl20_134 ),
inference(forward_demodulation,[],[f850,f1099]) ).
fof(f3595,plain,
( op2(e21,e21) != h1(op1(e11,e11))
| spl20_84
| ~ spl20_139 ),
inference(forward_demodulation,[],[f855,f1124]) ).
fof(f3596,plain,
( op2(e21,e22) = h1(op1(e11,e12))
| ~ spl20_83
| ~ spl20_134
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3594,f1124]) ).
fof(f3597,plain,
( op2(e21,e21) != h1(e12)
| spl20_84
| ~ spl20_139
| ~ spl20_230 ),
inference(forward_demodulation,[],[f3595,f1563]) ).
fof(f3599,plain,
( e22 != op2(e21,e21)
| spl20_84
| ~ spl20_134
| ~ spl20_139
| ~ spl20_230 ),
inference(forward_demodulation,[],[f3597,f1099]) ).
fof(f3601,plain,
( $false
| spl20_84
| ~ spl20_134
| ~ spl20_139
| ~ spl20_178
| ~ spl20_230 ),
inference(forward_subsumption_resolution,[],[f3599,f1306]) ).
fof(f3602,plain,
( spl20_84
| ~ spl20_134
| ~ spl20_139
| ~ spl20_178
| ~ spl20_230 ),
inference(avatar_contradiction_clause,[],[f3601]) ).
fof(f3604,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| spl20_85
| ~ spl20_92 ),
inference(forward_demodulation,[],[f859,f889]) ).
fof(f3606,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| spl20_85
| ~ spl20_92
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3604,f1124]) ).
fof(f3608,plain,
( op2(e21,e20) != h1(e10)
| spl20_85
| ~ spl20_92
| ~ spl20_139
| ~ spl20_275 ),
inference(forward_demodulation,[],[f3606,f1844]) ).
fof(f3609,plain,
( e20 != op2(e21,e20)
| spl20_85
| ~ spl20_92
| ~ spl20_139
| ~ spl20_275 ),
inference(forward_demodulation,[],[f3608,f889]) ).
fof(f3610,plain,
( $false
| spl20_85
| ~ spl20_92
| ~ spl20_139
| ~ spl20_259
| ~ spl20_275 ),
inference(forward_subsumption_resolution,[],[f3609,f1732]) ).
fof(f3611,plain,
( spl20_85
| ~ spl20_92
| ~ spl20_139
| ~ spl20_259
| ~ spl20_275 ),
inference(avatar_contradiction_clause,[],[f3610]) ).
fof(f3613,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl20_86
| ~ spl20_129 ),
inference(forward_demodulation,[],[f863,f1074]) ).
fof(f3615,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| spl20_86
| ~ spl20_92
| ~ spl20_129 ),
inference(forward_demodulation,[],[f3613,f889]) ).
fof(f3617,plain,
( op2(e20,e23) != h1(e10)
| spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_219 ),
inference(forward_demodulation,[],[f3615,f1512]) ).
fof(f3619,plain,
( e20 != op2(e20,e23)
| spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_219 ),
inference(forward_demodulation,[],[f3617,f889]) ).
fof(f3620,plain,
( $false
| spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_219 ),
inference(forward_subsumption_resolution,[],[f3619,f1255]) ).
fof(f3621,plain,
( spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_219 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3622,plain,
( h1(op1(e10,e13)) = op2(h1(e10),e23)
| ~ spl20_86
| ~ spl20_129 ),
inference(forward_demodulation,[],[f862,f1074]) ).
fof(f3623,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| spl20_87
| ~ spl20_134 ),
inference(forward_demodulation,[],[f867,f1099]) ).
fof(f3624,plain,
( op2(e20,e23) = h1(op1(e10,e13))
| ~ spl20_86
| ~ spl20_92
| ~ spl20_129 ),
inference(forward_demodulation,[],[f3622,f889]) ).
fof(f3625,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| spl20_87
| ~ spl20_92
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3623,f889]) ).
fof(f3627,plain,
( op2(e20,e22) != h1(e12)
| spl20_87
| ~ spl20_92
| ~ spl20_134
| ~ spl20_270 ),
inference(forward_demodulation,[],[f3625,f1811]) ).
fof(f3629,plain,
( e22 != op2(e20,e22)
| spl20_87
| ~ spl20_92
| ~ spl20_134
| ~ spl20_270 ),
inference(forward_demodulation,[],[f3627,f1099]) ).
fof(f3630,plain,
( $false
| spl20_87
| ~ spl20_92
| ~ spl20_134
| ~ spl20_254
| ~ spl20_270 ),
inference(forward_subsumption_resolution,[],[f3629,f1699]) ).
fof(f3631,plain,
( spl20_87
| ~ spl20_92
| ~ spl20_134
| ~ spl20_254
| ~ spl20_270 ),
inference(avatar_contradiction_clause,[],[f3630]) ).
fof(f3633,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| spl20_88
| ~ spl20_139 ),
inference(forward_demodulation,[],[f871,f1124]) ).
fof(f3635,plain,
( op2(e20,e21) != h1(op1(e10,e11))
| spl20_88
| ~ spl20_92
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3633,f889]) ).
fof(f3637,plain,
( op2(e20,e21) != h1(e11)
| spl20_88
| ~ spl20_92
| ~ spl20_139
| ~ spl20_274 ),
inference(forward_demodulation,[],[f3635,f1837]) ).
fof(f3639,plain,
( e21 != op2(e20,e21)
| spl20_88
| ~ spl20_92
| ~ spl20_139
| ~ spl20_274 ),
inference(forward_demodulation,[],[f3637,f1124]) ).
fof(f3640,plain,
( $false
| spl20_88
| ~ spl20_92
| ~ spl20_139
| ~ spl20_258
| ~ spl20_274 ),
inference(forward_subsumption_resolution,[],[f3639,f1725]) ).
fof(f3641,plain,
( spl20_88
| ~ spl20_92
| ~ spl20_139
| ~ spl20_258
| ~ spl20_274 ),
inference(avatar_contradiction_clause,[],[f3640]) ).
fof(f3643,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| spl20_89
| ~ spl20_92 ),
inference(forward_demodulation,[],[f875,f889]) ).
fof(f3645,plain,
( op2(e20,e20) != h1(e13)
| spl20_89
| ~ spl20_92
| ~ spl20_220 ),
inference(forward_demodulation,[],[f3643,f1515]) ).
fof(f3647,plain,
( $false
| spl20_89
| ~ spl20_92
| ~ spl20_220 ),
inference(forward_subsumption_resolution,[],[f3645,f428]) ).
fof(f3648,plain,
( spl20_89
| ~ spl20_92
| ~ spl20_220 ),
inference(avatar_contradiction_clause,[],[f3647]) ).
fof(f3654,plain,
( ~ spl20_241
| ~ spl20_239 ),
inference(avatar_split_clause,[],[f3532,f1608,f1619]) ).
fof(f3664,plain,
( ~ spl20_151
| spl20_78
| ~ spl20_129
| ~ spl20_134
| ~ spl20_203 ),
inference(avatar_split_clause,[],[f3461,f1438,f1098,f1073,f829,f1181]) ).
fof(f3673,plain,
( e21 = e22
| ~ spl20_176
| ~ spl20_188 ),
inference(forward_demodulation,[],[f1296,f1356]) ).
fof(f3684,plain,
( e21 != op2(e22,e23)
| ~ spl20_188 ),
inference(forward_demodulation,[],[f217,f1356]) ).
fof(f3686,plain,
( e20 != op2(e22,e23)
| ~ spl20_167 ),
inference(forward_demodulation,[],[f236,f1255]) ).
fof(f3693,plain,
( ~ spl20_97
| ~ spl20_172 ),
inference(avatar_split_clause,[],[f3213,f1276,f913]) ).
fof(f3704,plain,
( $false
| ~ spl20_176
| ~ spl20_188 ),
inference(forward_subsumption_resolution,[],[f3673,f264]) ).
fof(f3705,plain,
( ~ spl20_176
| ~ spl20_188 ),
inference(avatar_contradiction_clause,[],[f3704]) ).
fof(f3707,plain,
( ~ spl20_153
| ~ spl20_188 ),
inference(avatar_split_clause,[],[f3684,f1355,f1190]) ).
fof(f3708,plain,
( ~ spl20_155
| ~ spl20_167 ),
inference(avatar_split_clause,[],[f3686,f1253,f1199]) ).
fof(f3736,plain,
( e11 = e13
| ~ spl20_210
| ~ spl20_229 ),
inference(forward_demodulation,[],[f1470,f1560]) ).
fof(f3740,plain,
( ~ spl20_227
| ~ spl20_223 ),
inference(avatar_split_clause,[],[f3413,f1529,f1548]) ).
fof(f3744,plain,
( $false
| ~ spl20_210
| ~ spl20_229 ),
inference(forward_subsumption_resolution,[],[f3736,f257]) ).
fof(f3745,plain,
( ~ spl20_210
| ~ spl20_229 ),
inference(avatar_contradiction_clause,[],[f3744]) ).
fof(f3756,plain,
( ~ spl20_237
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f2766,f1429,f1597]) ).
fof(f3757,plain,
( ~ spl20_213
| ~ spl20_201 ),
inference(avatar_split_clause,[],[f2768,f1429,f1483]) ).
fof(f3762,plain,
( e11 = e13
| ~ spl20_218
| ~ spl20_274 ),
inference(forward_demodulation,[],[f1506,f1837]) ).
fof(f3773,plain,
( h3(e12) = h1(op1(e13,e12))
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3428,f3094]) ).
fof(f3774,plain,
( e20 = h1(op1(e10,e13))
| ~ spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167 ),
inference(forward_demodulation,[],[f3624,f1255]) ).
fof(f3782,plain,
( $false
| ~ spl20_218
| ~ spl20_274 ),
inference(forward_subsumption_resolution,[],[f3762,f257]) ).
fof(f3783,plain,
( ~ spl20_218
| ~ spl20_274 ),
inference(avatar_contradiction_clause,[],[f3782]) ).
fof(f3784,plain,
( e20 = h1(op1(e13,e12))
| ~ spl20_44
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134 ),
inference(forward_demodulation,[],[f3773,f687]) ).
fof(f3792,plain,
( ~ spl20_218
| ~ spl20_206 ),
inference(avatar_split_clause,[],[f3326,f1451,f1505]) ).
fof(f3793,plain,
( ~ spl20_234
| ~ spl20_230 ),
inference(avatar_split_clause,[],[f3504,f1562,f1581]) ).
fof(f3794,plain,
( ~ spl20_243
| ~ spl20_239 ),
inference(avatar_split_clause,[],[f3533,f1608,f1630]) ).
fof(f3802,plain,
( e21 = h1(op1(e11,e12))
| ~ spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177 ),
inference(forward_demodulation,[],[f3596,f1303]) ).
fof(f3855,plain,
( e20 = h1(e13)
| ~ spl20_44
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_198 ),
inference(superposition,[],[f3784,f1416]) ).
fof(f3856,plain,
( $false
| ~ spl20_44
| spl20_73
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_198 ),
inference(forward_subsumption_resolution,[],[f3855,f811]) ).
fof(f3857,plain,
( ~ spl20_44
| spl20_73
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_198 ),
inference(avatar_contradiction_clause,[],[f3856]) ).
fof(f3957,plain,
( e21 = h1(e12)
| ~ spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177
| ~ spl20_269 ),
inference(superposition,[],[f3802,f1807]) ).
fof(f3965,plain,
( spl20_138
| ~ spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177
| ~ spl20_269 ),
inference(avatar_split_clause,[],[f3957,f1805,f1301,f1123,f1098,f849,f1118]) ).
fof(f3966,plain,
( e21 = e22
| ~ spl20_134
| ~ spl20_138 ),
inference(superposition,[],[f1119,f1099]) ).
fof(f3970,plain,
( $false
| ~ spl20_134
| ~ spl20_138 ),
inference(forward_subsumption_resolution,[],[f3966,f264]) ).
fof(f3971,plain,
( ~ spl20_134
| ~ spl20_138 ),
inference(avatar_contradiction_clause,[],[f3970]) ).
fof(f3984,plain,
( e12 != op1(e10,e11)
| ~ spl20_215 ),
inference(superposition,[],[f179,f1494]) ).
fof(f3987,plain,
( e20 = h1(e12)
| ~ spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_215 ),
inference(superposition,[],[f3774,f1494]) ).
fof(f3988,plain,
( spl20_90
| ~ spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_215 ),
inference(avatar_split_clause,[],[f3987,f1492,f1253,f1073,f888,f861,f878]) ).
fof(f3991,plain,
( e20 = e22
| ~ spl20_90
| ~ spl20_134 ),
inference(superposition,[],[f879,f1099]) ).
fof(f3995,plain,
( $false
| ~ spl20_90
| ~ spl20_134 ),
inference(forward_subsumption_resolution,[],[f3991,f266]) ).
fof(f3996,plain,
( ~ spl20_90
| ~ spl20_134 ),
inference(avatar_contradiction_clause,[],[f3995]) ).
fof(f4010,plain,
( e11 = e13
| ~ spl20_198
| ~ spl20_221 ),
inference(superposition,[],[f1522,f1416]) ).
fof(f4024,plain,
( $false
| ~ spl20_198
| ~ spl20_221 ),
inference(forward_subsumption_resolution,[],[f4010,f257]) ).
fof(f4025,plain,
( ~ spl20_198
| ~ spl20_221 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4028,plain,
( ~ spl20_274
| ~ spl20_233 ),
inference(avatar_split_clause,[],[f3518,f1577,f1835]) ).
fof(f4033,plain,
( ~ spl20_234
| ~ spl20_215 ),
inference(avatar_split_clause,[],[f3984,f1492,f1581]) ).
cnf(s16,plain,
( spl20_70
| spl20_71
| spl20_72
| ~ spl20_74
| ~ spl20_75
| ~ spl20_76
| ~ spl20_77
| ~ spl20_78
| ~ spl20_79
| ~ spl20_80
| ~ spl20_81
| ~ spl20_82
| ~ spl20_83
| ~ spl20_84
| ~ spl20_85
| ~ spl20_86
| ~ spl20_87
| ~ spl20_88
| ~ spl20_89
| ~ spl20_92 ),
inference(sat_conversion,[],[f891]) ).
cnf(s53,plain,
( ~ spl20_70
| ~ spl20_129 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s58,plain,
( ~ spl20_71
| ~ spl20_134 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s63,plain,
( ~ spl20_72
| ~ spl20_139 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s68,plain,
spl20_92,
inference(sat_conversion,[],[f1135]) ).
cnf(s69,plain,
( spl20_141
| spl20_142
| spl20_143
| spl20_144 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s70,plain,
( ~ spl20_141
| spl20_145
| ~ spl20_146 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s81,plain,
( ~ spl20_141
| spl20_167
| ~ spl20_168 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s84,plain,
( ~ spl20_142
| spl20_171
| ~ spl20_172 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s99,plain,
( ~ spl20_143
| spl20_187
| ~ spl20_188 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s103,plain,
( ~ spl20_143
| ~ spl20_165
| spl20_166 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s106,plain,
( ~ spl20_144
| ~ spl20_149
| spl20_150 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s110,plain,
( ~ spl20_144
| ~ spl20_175
| spl20_176 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s118,plain,
( spl20_193
| spl20_194
| spl20_195
| spl20_196 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s119,plain,
( ~ spl20_193
| spl20_197
| ~ spl20_198 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s123,plain,
( ~ spl20_193
| spl20_205
| ~ spl20_206 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s126,plain,
( ~ spl20_193
| spl20_211
| ~ spl20_212 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s127,plain,
( ~ spl20_193
| spl20_213
| ~ spl20_214 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s130,plain,
( ~ spl20_193
| spl20_219
| ~ spl20_220 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s132,plain,
( ~ spl20_194
| spl20_221
| ~ spl20_222 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s133,plain,
( ~ spl20_194
| spl20_223
| ~ spl20_224 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s134,plain,
( ~ spl20_194
| ~ spl20_203
| spl20_204 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s135,plain,
( ~ spl20_194
| spl20_225
| ~ spl20_226 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s141,plain,
( ~ spl20_194
| spl20_233
| ~ spl20_234 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s143,plain,
( ~ spl20_195
| ~ spl20_199
| spl20_200 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s145,plain,
( ~ spl20_195
| spl20_237
| ~ spl20_238 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s148,plain,
( ~ spl20_195
| spl20_239
| ~ spl20_240 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s149,plain,
( ~ spl20_195
| ~ spl20_211
| spl20_212 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s150,plain,
( ~ spl20_195
| ~ spl20_229
| spl20_230 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s151,plain,
( ~ spl20_195
| spl20_241
| ~ spl20_242 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s152,plain,
( ~ spl20_195
| ~ spl20_217
| spl20_218 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s153,plain,
( ~ spl20_195
| ~ spl20_233
| spl20_234 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s154,plain,
( ~ spl20_195
| spl20_243
| ~ spl20_244 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s155,plain,
( ~ spl20_196
| ~ spl20_201
| spl20_202 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s157,plain,
( ~ spl20_196
| ~ spl20_237
| spl20_238 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s158,plain,
( ~ spl20_196
| ~ spl20_207
| spl20_208 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s159,plain,
( ~ spl20_196
| ~ spl20_227
| spl20_228 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s167,plain,
( spl20_245
| spl20_246
| spl20_247
| spl20_248 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s168,plain,
( spl20_146
| spl20_148
| spl20_150
| spl20_245 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s171,plain,
( spl20_147
| spl20_153
| spl20_159
| spl20_165 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s177,plain,
( spl20_249
| spl20_252
| spl20_253
| spl20_254 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s181,plain,
( spl20_171
| spl20_175
| spl20_179
| spl20_183 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s182,plain,
( spl20_155
| spl20_175
| spl20_187
| spl20_256 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s186,plain,
( spl20_157
| spl20_178
| spl20_180
| spl20_253 ),
inference(sat_conversion,[],[f1717]) ).
cnf(s187,plain,
( spl20_250
| spl20_255
| spl20_257
| spl20_258 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s188,plain,
( spl20_159
| spl20_177
| spl20_190
| spl20_257 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s189,plain,
( spl20_185
| spl20_187
| spl20_189
| spl20_191 ),
inference(sat_conversion,[],[f1728]) ).
cnf(s197,plain,
( spl20_251
| spl20_256
| spl20_259
| spl20_260 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s199,plain,
( spl20_145
| spl20_147
| spl20_149
| spl20_245 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s200,plain,
( spl20_146
| spl20_169
| spl20_171
| spl20_249 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s203,plain,
( spl20_151
| spl20_153
| spl20_155
| spl20_246 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s204,plain,
( spl20_152
| spl20_173
| spl20_175
| spl20_252 ),
inference(sat_conversion,[],[f1751]) ).
cnf(s211,plain,
( spl20_163
| spl20_165
| spl20_167
| spl20_248 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s213,plain,
( spl20_166
| spl20_182
| spl20_191
| spl20_258 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s215,plain,
( spl20_261
| spl20_262
| spl20_263
| spl20_264 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s216,plain,
( spl20_198
| spl20_200
| spl20_202
| spl20_261 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s217,plain,
( spl20_197
| spl20_203
| spl20_209
| spl20_215 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s219,plain,
( spl20_199
| spl20_205
| spl20_211
| spl20_217 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s220,plain,
( spl20_199
| spl20_221
| spl20_238
| spl20_266 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s222,plain,
( spl20_201
| spl20_223
| spl20_237
| spl20_267 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s224,plain,
( spl20_204
| spl20_206
| spl20_208
| spl20_262 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s225,plain,
( spl20_265
| spl20_268
| spl20_269
| spl20_270 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s226,plain,
( spl20_203
| spl20_226
| spl20_228
| spl20_268 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s227,plain,
( spl20_221
| spl20_225
| spl20_229
| spl20_233 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s230,plain,
( spl20_207
| spl20_227
| spl20_239
| spl20_272 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s231,plain,
( spl20_200
| spl20_206
| spl20_212
| spl20_218 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s232,plain,
( spl20_210
| spl20_212
| spl20_214
| spl20_263 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s233,plain,
( spl20_222
| spl20_226
| spl20_230
| spl20_234 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s235,plain,
( spl20_266
| spl20_271
| spl20_273
| spl20_274 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s236,plain,
( spl20_211
| spl20_229
| spl20_242
| spl20_273 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s244,plain,
( spl20_217
| spl20_233
| spl20_244
| spl20_274 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s245,plain,
( spl20_267
| spl20_272
| spl20_275
| spl20_276 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s247,plain,
( spl20_197
| spl20_199
| spl20_201
| spl20_261 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s248,plain,
( spl20_198
| spl20_221
| spl20_223
| spl20_265 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s251,plain,
( spl20_203
| spl20_205
| spl20_207
| spl20_262 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s252,plain,
( spl20_204
| spl20_225
| spl20_227
| spl20_268 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s253,plain,
( spl20_206
| spl20_226
| spl20_239
| spl20_271 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s255,plain,
( spl20_209
| spl20_211
| spl20_213
| spl20_263 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s257,plain,
( spl20_212
| spl20_230
| spl20_241
| spl20_273 ),
inference(sat_conversion,[],[f1868]) ).
cnf(s259,plain,
( spl20_215
| spl20_217
| spl20_219
| spl20_264 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s260,plain,
( spl20_216
| spl20_233
| spl20_235
| spl20_270 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s261,plain,
( spl20_218
| spl20_234
| spl20_243
| spl20_274 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s263,plain,
~ spl20_261,
inference(sat_conversion,[],[f1874]) ).
cnf(s264,plain,
~ spl20_268,
inference(sat_conversion,[],[f1875]) ).
cnf(s265,plain,
~ spl20_273,
inference(sat_conversion,[],[f1876]) ).
cnf(s266,plain,
~ spl20_276,
inference(sat_conversion,[],[f1877]) ).
cnf(s267,plain,
~ spl20_245,
inference(sat_conversion,[],[f1878]) ).
cnf(s268,plain,
~ spl20_252,
inference(sat_conversion,[],[f1879]) ).
cnf(s269,plain,
~ spl20_257,
inference(sat_conversion,[],[f1880]) ).
cnf(s270,plain,
~ spl20_260,
inference(sat_conversion,[],[f1881]) ).
cnf(s271,plain,
spl20_220,
inference(sat_conversion,[],[f1882]) ).
cnf(s272,plain,
spl20_168,
inference(sat_conversion,[],[f1883]) ).
cnf(s273,plain,
( ~ spl20_73
| spl20_260 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s276,plain,
( spl20_97
| ~ spl20_145 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s278,plain,
( ~ spl20_199
| ~ spl20_266 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s280,plain,
( ~ spl20_148
| ~ spl20_250 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s288,plain,
( spl20_105
| ~ spl20_152 ),
inference(sat_conversion,[],[f1933]) ).
cnf(s293,plain,
( ~ spl20_204
| ~ spl20_262 ),
inference(sat_conversion,[],[f1948]) ).
cnf(s305,plain,
( ~ spl20_230
| ~ spl20_269 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s321,plain,
( ~ spl20_262
| ~ spl20_263 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s323,plain,
( spl20_129
| ~ spl20_168 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s330,plain,
( ~ spl20_266
| ~ spl20_274 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s332,plain,
( ~ spl20_146
| ~ spl20_171 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s333,plain,
( ~ spl20_172
| ~ spl20_251 ),
inference(sat_conversion,[],[f2097]) ).
cnf(s346,plain,
( spl20_27
| ~ spl20_175 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s355,plain,
( ~ spl20_177
| ~ spl20_253 ),
inference(sat_conversion,[],[f2184]) ).
cnf(s359,plain,
( ~ spl20_157
| ~ spl20_247 ),
inference(sat_conversion,[],[f2204]) ).
cnf(s364,plain,
( ~ spl20_27
| ~ spl20_187 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s371,plain,
( spl20_121
| ~ spl20_178 ),
inference(sat_conversion,[],[f2259]) ).
cnf(s384,plain,
( spl20_113
| ~ spl20_173 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s389,plain,
( ~ spl20_105
| ~ spl20_246 ),
inference(sat_conversion,[],[f2303]) ).
cnf(s392,plain,
( ~ spl20_188
| ~ spl20_255 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s396,plain,
( ~ spl20_113
| ~ spl20_188 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s409,plain,
( ~ spl20_167
| ~ spl20_183 ),
inference(sat_conversion,[],[f2340]) ).
cnf(s431,plain,
( ~ spl20_148
| ~ spl20_185 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s434,plain,
( spl20_50
| ~ spl20_189 ),
inference(sat_conversion,[],[f2459]) ).
cnf(s436,plain,
( ~ spl20_191
| ~ spl20_258 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s449,plain,
( ~ spl20_198
| ~ spl20_204 ),
inference(sat_conversion,[],[f2521]) ).
cnf(s451,plain,
( ~ spl20_198
| ~ spl20_200 ),
inference(sat_conversion,[],[f2523]) ).
cnf(s461,plain,
( spl20_74
| ~ spl20_129
| ~ spl20_139
| ~ spl20_147
| ~ spl20_199 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s462,plain,
( ~ spl20_199
| ~ spl20_217 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s463,plain,
( ~ spl20_199
| ~ spl20_211 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s467,plain,
( ~ spl20_203
| ~ spl20_262 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s468,plain,
( ~ spl20_209
| ~ spl20_230 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s475,plain,
( ~ spl20_212
| ~ spl20_263 ),
inference(sat_conversion,[],[f2599]) ).
cnf(s477,plain,
( ~ spl20_240
| ~ spl20_271 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s482,plain,
( ~ spl20_199
| ~ spl20_238 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s485,plain,
( ~ spl20_203
| ~ spl20_215 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s496,plain,
( ~ spl20_207
| ~ spl20_219 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s500,plain,
( ~ spl20_207
| ~ spl20_239 ),
inference(sat_conversion,[],[f2657]) ).
cnf(s505,plain,
( ~ spl20_197
| ~ spl20_224 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s506,plain,
( ~ spl20_199
| ~ spl20_221 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s518,plain,
( ~ spl20_224
| ~ spl20_265 ),
inference(sat_conversion,[],[f2687]) ).
cnf(s523,plain,
( ~ spl20_200
| ~ spl20_212 ),
inference(sat_conversion,[],[f2709]) ).
cnf(s525,plain,
( ~ spl20_204
| ~ spl20_216 ),
inference(sat_conversion,[],[f2719]) ).
cnf(s528,plain,
( ~ spl20_208
| ~ spl20_220 ),
inference(sat_conversion,[],[f2727]) ).
cnf(s537,plain,
( ~ spl20_213
| ~ spl20_219 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s545,plain,
( ~ spl20_200
| ~ spl20_218 ),
inference(sat_conversion,[],[f2756]) ).
cnf(s550,plain,
( ~ spl20_201
| ~ spl20_219 ),
inference(sat_conversion,[],[f2779]) ).
cnf(s552,plain,
( ~ spl20_201
| ~ spl20_223 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s571,plain,
( ~ spl20_202
| ~ spl20_220 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s574,plain,
( ~ spl20_211
| ~ spl20_217 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s588,plain,
( ~ spl20_129
| spl20_134
| ~ spl20_172 ),
inference(sat_conversion,[],[f2854]) ).
cnf(s592,plain,
~ spl20_272,
inference(sat_conversion,[],[f2872]) ).
cnf(s593,plain,
spl20_240,
inference(sat_conversion,[],[f2873]) ).
cnf(s595,plain,
( ~ spl20_205
| ~ spl20_240 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s613,plain,
( ~ spl20_129
| ~ spl20_172
| ~ spl20_256 ),
inference(sat_conversion,[],[f2917]) ).
cnf(s614,plain,
( ~ spl20_172
| ~ spl20_249 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s617,plain,
( ~ spl20_129
| spl20_172 ),
inference(sat_conversion,[],[f2928]) ).
cnf(s618,plain,
( ~ spl20_147
| ~ spl20_169 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s619,plain,
( ~ spl20_147
| ~ spl20_165 ),
inference(sat_conversion,[],[f2938]) ).
cnf(s620,plain,
( ~ spl20_147
| ~ spl20_159 ),
inference(sat_conversion,[],[f2942]) ).
cnf(s622,plain,
( ~ spl20_188
| ~ spl20_190 ),
inference(sat_conversion,[],[f2946]) ).
cnf(s630,plain,
( ~ spl20_163
| ~ spl20_254 ),
inference(sat_conversion,[],[f2957]) ).
cnf(s637,plain,
( ~ spl20_129
| ~ spl20_248 ),
inference(sat_conversion,[],[f2966]) ).
cnf(s641,plain,
( ~ spl20_172
| ~ spl20_180 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s642,plain,
( ~ spl20_129
| ~ spl20_172
| spl20_188 ),
inference(sat_conversion,[],[f2975]) ).
cnf(s654,plain,
( ~ spl20_182
| ~ spl20_254 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s658,plain,
( ~ spl20_129
| ~ spl20_166 ),
inference(sat_conversion,[],[f3008]) ).
cnf(s661,plain,
( ~ spl20_171
| ~ spl20_185 ),
inference(sat_conversion,[],[f3011]) ).
cnf(s666,plain,
( ~ spl20_129
| ~ spl20_150 ),
inference(sat_conversion,[],[f3016]) ).
cnf(s669,plain,
( ~ spl20_50
| ~ spl20_259 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s677,plain,
( ~ spl20_167
| ~ spl20_191 ),
inference(sat_conversion,[],[f3023]) ).
cnf(s691,plain,
( spl20_4
| ~ spl20_149 ),
inference(sat_conversion,[],[f3055]) ).
cnf(s702,plain,
( ~ spl20_4
| ~ spl20_44
| ~ spl20_105 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s704,plain,
( ~ spl20_159
| ~ spl20_247 ),
inference(sat_conversion,[],[f3120]) ).
cnf(s721,plain,
( ~ spl20_179
| ~ spl20_259 ),
inference(sat_conversion,[],[f3184]) ).
cnf(s724,plain,
( spl20_44
| ~ spl20_105
| ~ spl20_171 ),
inference(sat_conversion,[],[f3204]) ).
cnf(s726,plain,
( spl20_67
| ~ spl20_121
| ~ spl20_187 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s733,plain,
( ~ spl20_129
| spl20_139
| ~ spl20_172
| ~ spl20_188 ),
inference(sat_conversion,[],[f3290]) ).
cnf(s739,plain,
( ~ spl20_219
| ~ spl20_235 ),
inference(sat_conversion,[],[f3344]) ).
cnf(s742,plain,
( ~ spl20_204
| ~ spl20_206 ),
inference(sat_conversion,[],[f3346]) ).
cnf(s756,plain,
( ~ spl20_220
| ~ spl20_264 ),
inference(sat_conversion,[],[f3356]) ).
cnf(s769,plain,
( ~ spl20_220
| ~ spl20_267 ),
inference(sat_conversion,[],[f3396]) ).
cnf(s771,plain,
( ~ spl20_220
| spl20_224 ),
inference(sat_conversion,[],[f3402]) ).
cnf(s772,plain,
( ~ spl20_44
| spl20_75
| ~ spl20_92
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_223 ),
inference(sat_conversion,[],[f3421]) ).
cnf(s774,plain,
( spl20_76
| ~ spl20_129
| ~ spl20_139
| ~ spl20_148
| ~ spl20_200 ),
inference(sat_conversion,[],[f3435]) ).
cnf(s775,plain,
( spl20_77
| ~ spl20_92
| ~ spl20_129
| ~ spl20_134
| ~ spl20_172
| ~ spl20_224 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s776,plain,
( ~ spl20_224
| ~ spl20_228 ),
inference(sat_conversion,[],[f3453]) ).
cnf(s778,plain,
( spl20_79
| ~ spl20_129
| ~ spl20_134
| ~ spl20_152
| ~ spl20_204 ),
inference(sat_conversion,[],[f3472]) ).
cnf(s781,plain,
( ~ spl20_225
| ~ spl20_240 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s787,plain,
( ~ spl20_67
| spl20_80
| ~ spl20_92
| ~ spl20_121
| ~ spl20_134
| ~ spl20_139
| ~ spl20_239 ),
inference(sat_conversion,[],[f3541]) ).
cnf(s790,plain,
( spl20_81
| ~ spl20_92
| ~ spl20_134
| ~ spl20_139
| ~ spl20_188
| ~ spl20_240 ),
inference(sat_conversion,[],[f3571]) ).
cnf(s791,plain,
( spl20_82
| ~ spl20_129
| ~ spl20_139
| ~ spl20_247
| ~ spl20_263 ),
inference(sat_conversion,[],[f3583]) ).
cnf(s792,plain,
( spl20_83
| ~ spl20_134
| ~ spl20_139
| ~ spl20_177
| ~ spl20_229 ),
inference(sat_conversion,[],[f3593]) ).
cnf(s793,plain,
( spl20_84
| ~ spl20_134
| ~ spl20_139
| ~ spl20_178
| ~ spl20_230 ),
inference(sat_conversion,[],[f3602]) ).
cnf(s794,plain,
( spl20_85
| ~ spl20_92
| ~ spl20_139
| ~ spl20_259
| ~ spl20_275 ),
inference(sat_conversion,[],[f3611]) ).
cnf(s795,plain,
( spl20_86
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_219 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s796,plain,
( spl20_87
| ~ spl20_92
| ~ spl20_134
| ~ spl20_254
| ~ spl20_270 ),
inference(sat_conversion,[],[f3631]) ).
cnf(s797,plain,
( spl20_88
| ~ spl20_92
| ~ spl20_139
| ~ spl20_258
| ~ spl20_274 ),
inference(sat_conversion,[],[f3641]) ).
cnf(s798,plain,
( spl20_89
| ~ spl20_92
| ~ spl20_220 ),
inference(sat_conversion,[],[f3648]) ).
cnf(s800,plain,
( ~ spl20_239
| ~ spl20_241 ),
inference(sat_conversion,[],[f3654]) ).
cnf(s801,plain,
( spl20_78
| ~ spl20_129
| ~ spl20_134
| ~ spl20_151
| ~ spl20_203 ),
inference(sat_conversion,[],[f3664]) ).
cnf(s804,plain,
( ~ spl20_97
| ~ spl20_172 ),
inference(sat_conversion,[],[f3693]) ).
cnf(s808,plain,
( ~ spl20_176
| ~ spl20_188 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s809,plain,
( ~ spl20_153
| ~ spl20_188 ),
inference(sat_conversion,[],[f3707]) ).
cnf(s810,plain,
( ~ spl20_155
| ~ spl20_167 ),
inference(sat_conversion,[],[f3708]) ).
cnf(s827,plain,
( ~ spl20_223
| ~ spl20_227 ),
inference(sat_conversion,[],[f3740]) ).
cnf(s829,plain,
( ~ spl20_210
| ~ spl20_229 ),
inference(sat_conversion,[],[f3745]) ).
cnf(s838,plain,
( ~ spl20_201
| ~ spl20_237 ),
inference(sat_conversion,[],[f3756]) ).
cnf(s839,plain,
( ~ spl20_201
| ~ spl20_213 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s847,plain,
( ~ spl20_218
| ~ spl20_274 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s854,plain,
( ~ spl20_206
| ~ spl20_218 ),
inference(sat_conversion,[],[f3792]) ).
cnf(s855,plain,
( ~ spl20_230
| ~ spl20_234 ),
inference(sat_conversion,[],[f3793]) ).
cnf(s856,plain,
( ~ spl20_239
| ~ spl20_243 ),
inference(sat_conversion,[],[f3794]) ).
cnf(s875,plain,
( ~ spl20_44
| spl20_73
| ~ spl20_75
| ~ spl20_105
| ~ spl20_129
| ~ spl20_134
| ~ spl20_198 ),
inference(sat_conversion,[],[f3857]) ).
cnf(s892,plain,
( ~ spl20_83
| ~ spl20_134
| spl20_138
| ~ spl20_139
| ~ spl20_177
| ~ spl20_269 ),
inference(sat_conversion,[],[f3965]) ).
cnf(s894,plain,
( ~ spl20_134
| ~ spl20_138 ),
inference(sat_conversion,[],[f3971]) ).
cnf(s895,plain,
( ~ spl20_86
| spl20_90
| ~ spl20_92
| ~ spl20_129
| ~ spl20_167
| ~ spl20_215 ),
inference(sat_conversion,[],[f3988]) ).
cnf(s897,plain,
( ~ spl20_90
| ~ spl20_134 ),
inference(sat_conversion,[],[f3996]) ).
cnf(s901,plain,
( ~ spl20_198
| ~ spl20_221 ),
inference(sat_conversion,[],[f4025]) ).
cnf(s902,plain,
( ~ spl20_233
| ~ spl20_274 ),
inference(sat_conversion,[],[f4028]) ).
cnf(s906,plain,
( ~ spl20_215
| ~ spl20_234 ),
inference(sat_conversion,[],[f4033]) ).
cnf(s907,plain,
~ spl20_225,
inference(rat,[],[s781,s593]) ).
cnf(s908,plain,
~ spl20_205,
inference(rat,[],[s595,s593]) ).
cnf(s909,plain,
~ spl20_271,
inference(rat,[],[s477,s593]) ).
cnf(s912,plain,
spl20_129,
inference(rat,[],[s323,s272]) ).
cnf(s915,plain,
~ spl20_150,
inference(rat,[],[s666,s912]) ).
cnf(s916,plain,
~ spl20_166,
inference(rat,[],[s658,s912]) ).
cnf(s917,plain,
~ spl20_248,
inference(rat,[],[s637,s912]) ).
cnf(s919,plain,
spl20_172,
inference(rat,[],[s617,s912]) ).
cnf(s920,plain,
spl20_134,
inference(rat,[],[s588,s919,s912]) ).
cnf(s921,plain,
~ spl20_97,
inference(rat,[],[s804,s919]) ).
cnf(s922,plain,
spl20_188,
inference(rat,[],[s642,s912,s919]) ).
cnf(s923,plain,
~ spl20_180,
inference(rat,[],[s641,s919]) ).
cnf(s924,plain,
~ spl20_249,
inference(rat,[],[s614,s919]) ).
cnf(s925,plain,
~ spl20_256,
inference(rat,[],[s613,s912,s919]) ).
cnf(s926,plain,
~ spl20_251,
inference(rat,[],[s333,s919]) ).
cnf(s927,plain,
spl20_139,
inference(rat,[],[s733,s922,s912,s919]) ).
cnf(s928,plain,
~ spl20_90,
inference(rat,[],[s897,s920]) ).
cnf(s929,plain,
~ spl20_138,
inference(rat,[],[s894,s920]) ).
cnf(s930,plain,
~ spl20_145,
inference(rat,[],[s276,s921]) ).
cnf(s931,plain,
~ spl20_153,
inference(rat,[],[s809,s922]) ).
cnf(s932,plain,
~ spl20_176,
inference(rat,[],[s808,s922]) ).
cnf(s933,plain,
~ spl20_190,
inference(rat,[],[s622,s922]) ).
cnf(s934,plain,
~ spl20_113,
inference(rat,[],[s396,s922]) ).
cnf(s935,plain,
~ spl20_255,
inference(rat,[],[s392,s922]) ).
cnf(s936,plain,
~ spl20_173,
inference(rat,[],[s384,s934]) ).
cnf(s937,plain,
spl20_224,
inference(rat,[],[s771,s271]) ).
cnf(s938,plain,
~ spl20_267,
inference(rat,[],[s769,s271]) ).
cnf(s939,plain,
~ spl20_264,
inference(rat,[],[s756,s271]) ).
cnf(s940,plain,
~ spl20_202,
inference(rat,[],[s571,s271]) ).
cnf(s941,plain,
~ spl20_208,
inference(rat,[],[s528,s271]) ).
cnf(s942,plain,
~ spl20_228,
inference(rat,[],[s776,s937]) ).
cnf(s943,plain,
~ spl20_265,
inference(rat,[],[s518,s937]) ).
cnf(s944,plain,
~ spl20_197,
inference(rat,[],[s505,s937]) ).
cnf(s945,plain,
~ spl20_73,
inference(rat,[],[s273,s270]) ).
cnf(s949,plain,
( spl20_215
| spl20_217
| spl20_219 ),
inference(rat,[],[s259,s939]) ).
cnf(s950,plain,
( spl20_212
| spl20_230
| spl20_241 ),
inference(rat,[],[s257,s265]) ).
cnf(s951,plain,
( spl20_206
| spl20_226
| spl20_239 ),
inference(rat,[],[s253,s909]) ).
cnf(s952,plain,
( spl20_204
| spl20_227 ),
inference(rat,[],[s252,s264,s907]) ).
cnf(s953,plain,
( spl20_203
| spl20_207
| spl20_262 ),
inference(rat,[],[s251,s908]) ).
cnf(s954,plain,
( spl20_198
| spl20_221
| spl20_223 ),
inference(rat,[],[s248,s943]) ).
cnf(s955,plain,
( spl20_199
| spl20_201 ),
inference(rat,[],[s247,s263,s944]) ).
cnf(s957,plain,
spl20_275,
inference(rat,[],[s245,s266,s592,s938]) ).
cnf(s959,plain,
( spl20_211
| spl20_229
| spl20_242 ),
inference(rat,[],[s236,s265]) ).
cnf(s960,plain,
( spl20_266
| spl20_274 ),
inference(rat,[],[s235,s265,s909]) ).
cnf(s962,plain,
( spl20_207
| spl20_227
| spl20_239 ),
inference(rat,[],[s230,s592]) ).
cnf(s963,plain,
( spl20_221
| spl20_229
| spl20_233 ),
inference(rat,[],[s227,s907]) ).
cnf(s964,plain,
( spl20_203
| spl20_226 ),
inference(rat,[],[s226,s264,s942]) ).
cnf(s965,plain,
( spl20_269
| spl20_270 ),
inference(rat,[],[s225,s264,s943]) ).
cnf(s966,plain,
( spl20_204
| spl20_206
| spl20_262 ),
inference(rat,[],[s224,s941]) ).
cnf(s967,plain,
( spl20_201
| spl20_223
| spl20_237 ),
inference(rat,[],[s222,s938]) ).
cnf(s968,plain,
( spl20_199
| spl20_211
| spl20_217 ),
inference(rat,[],[s219,s908]) ).
cnf(s969,plain,
( spl20_203
| spl20_209
| spl20_215 ),
inference(rat,[],[s217,s944]) ).
cnf(s970,plain,
( spl20_198
| spl20_200 ),
inference(rat,[],[s216,s263,s940]) ).
cnf(s971,plain,
( spl20_262
| spl20_263 ),
inference(rat,[],[s215,s939,s263]) ).
cnf(s972,plain,
( spl20_182
| spl20_191
| spl20_258 ),
inference(rat,[],[s213,s916]) ).
cnf(s973,plain,
( spl20_163
| spl20_165
| spl20_167 ),
inference(rat,[],[s211,s917]) ).
cnf(s977,plain,
( spl20_152
| spl20_175 ),
inference(rat,[],[s204,s268,s936]) ).
cnf(s978,plain,
( spl20_151
| spl20_155
| spl20_246 ),
inference(rat,[],[s203,s931]) ).
cnf(s979,plain,
( spl20_146
| spl20_169
| spl20_171 ),
inference(rat,[],[s200,s924]) ).
cnf(s980,plain,
( spl20_147
| spl20_149 ),
inference(rat,[],[s199,s267,s930]) ).
cnf(s982,plain,
spl20_259,
inference(rat,[],[s197,s270,s925,s926]) ).
cnf(s983,plain,
~ spl20_179,
inference(rat,[],[s721,s982]) ).
cnf(s984,plain,
~ spl20_50,
inference(rat,[],[s669,s982]) ).
cnf(s985,plain,
~ spl20_189,
inference(rat,[],[s434,s984]) ).
cnf(s988,plain,
( spl20_185
| spl20_187
| spl20_191 ),
inference(rat,[],[s189,s985]) ).
cnf(s989,plain,
( spl20_159
| spl20_177 ),
inference(rat,[],[s188,s269,s933]) ).
cnf(s990,plain,
( spl20_250
| spl20_258 ),
inference(rat,[],[s187,s269,s935]) ).
cnf(s991,plain,
( spl20_157
| spl20_178
| spl20_253 ),
inference(rat,[],[s186,s923]) ).
cnf(s993,plain,
( spl20_155
| spl20_175
| spl20_187 ),
inference(rat,[],[s182,s925]) ).
cnf(s994,plain,
( spl20_171
| spl20_175
| spl20_183 ),
inference(rat,[],[s181,s983]) ).
cnf(s997,plain,
( spl20_253
| spl20_254 ),
inference(rat,[],[s177,s268,s924]) ).
cnf(s1000,plain,
( spl20_147
| spl20_159
| spl20_165 ),
inference(rat,[],[s171,s931]) ).
cnf(s1002,plain,
( spl20_146
| spl20_148 ),
inference(rat,[],[s168,s267,s915]) ).
cnf(s1003,plain,
( spl20_246
| spl20_247 ),
inference(rat,[],[s167,s917,s267]) ).
cnf(s1005,plain,
( ~ spl20_196
| ~ spl20_227 ),
inference(rat,[],[s159,s942]) ).
cnf(s1006,plain,
( ~ spl20_196
| ~ spl20_207 ),
inference(rat,[],[s158,s941]) ).
cnf(s1007,plain,
( ~ spl20_196
| ~ spl20_201 ),
inference(rat,[],[s155,s940]) ).
cnf(s1008,plain,
( ~ spl20_195
| spl20_239 ),
inference(rat,[],[s148,s593]) ).
cnf(s1009,plain,
( ~ spl20_194
| ~ spl20_226 ),
inference(rat,[],[s135,s907]) ).
cnf(s1010,plain,
( ~ spl20_194
| spl20_223 ),
inference(rat,[],[s133,s937]) ).
cnf(s1011,plain,
( ~ spl20_193
| spl20_219 ),
inference(rat,[],[s130,s271]) ).
cnf(s1012,plain,
( ~ spl20_193
| ~ spl20_206 ),
inference(rat,[],[s123,s908]) ).
cnf(s1013,plain,
( ~ spl20_193
| ~ spl20_198 ),
inference(rat,[],[s119,s944]) ).
cnf(s1016,plain,
( ~ spl20_144
| ~ spl20_175 ),
inference(rat,[],[s110,s932]) ).
cnf(s1018,plain,
( ~ spl20_144
| ~ spl20_149 ),
inference(rat,[],[s106,s915]) ).
cnf(s1019,plain,
( ~ spl20_143
| ~ spl20_165 ),
inference(rat,[],[s103,s916]) ).
cnf(s1020,plain,
( ~ spl20_143
| spl20_187 ),
inference(rat,[],[s99,s922]) ).
cnf(s1022,plain,
( ~ spl20_142
| spl20_171 ),
inference(rat,[],[s84,s919]) ).
cnf(s1023,plain,
( ~ spl20_141
| spl20_167 ),
inference(rat,[],[s81,s272]) ).
cnf(s1025,plain,
( ~ spl20_141
| ~ spl20_146 ),
inference(rat,[],[s70,s930]) ).
cnf(s1026,plain,
spl20_89,
inference(rat,[],[s798,s271,s68]) ).
cnf(s1027,plain,
spl20_85,
inference(rat,[],[s794,s957,s982,s927,s68]) ).
cnf(s1028,plain,
spl20_81,
inference(rat,[],[s790,s593,s922,s927,s920,s68]) ).
cnf(s1029,plain,
spl20_77,
inference(rat,[],[s775,s937,s919,s920,s912,s68]) ).
cnf(s1030,plain,
~ spl20_72,
inference(rat,[],[s63,s927]) ).
cnf(s1031,plain,
~ spl20_71,
inference(rat,[],[s58,s920]) ).
cnf(s1032,plain,
~ spl20_70,
inference(rat,[],[s53,s912]) ).
cnf(s1036,plain,
( ~ spl20_74
| ~ spl20_75
| ~ spl20_76
| ~ spl20_78
| ~ spl20_79
| ~ spl20_80
| ~ spl20_82
| ~ spl20_83
| ~ spl20_84
| ~ spl20_86
| ~ spl20_87
| ~ spl20_88 ),
inference(rat,[],[s16,s68,s1026,s1027,s1028,s1029,s1030,s1031,s1032]) ).
cnf(s1049,plain,
( ~ spl20_201
| spl20_195 ),
inference(rat,[],[s118,s1011,s1010,s1007,s550,s552]) ).
cnf(s1050,plain,
( ~ spl20_196
| spl20_239 ),
inference(rat,[],[s962,s1006,s1005]) ).
cnf(s1051,plain,
( ~ spl20_194
| spl20_239 ),
inference(rat,[],[s134,s742,s964,s951,s1009]) ).
cnf(s1052,plain,
spl20_239,
inference(rat,[],[s827,s962,s954,s496,s1013,s1011,s118,s1051,s1050,s506,s955,s1049,s1008]) ).
cnf(s1053,plain,
~ spl20_243,
inference(rat,[],[s856,s1052]) ).
cnf(s1054,plain,
~ spl20_241,
inference(rat,[],[s800,s1052]) ).
cnf(s1055,plain,
~ spl20_207,
inference(rat,[],[s500,s1052]) ).
cnf(s1056,plain,
( spl20_195
| spl20_194
| spl20_193
| spl20_175
| ~ spl20_147 ),
inference(rat,[],[s796,s1036,s965,s795,s793,s892,s949,s950,s792,s801,s485,s791,s774,s523,s963,s772,s953,s971,s970,s797,s902,s967,s778,s293,s449,s960,s157,s952,s461,s278,s462,s482,s506,s1005,s955,s118,s1049,s972,s677,s654,s724,s1002,s332,s994,s409,s978,s787,s726,s371,s991,s359,s1003,s389,s288,s977,s993,s810,s973,s630,s997,s355,s989,s620,s619,s920,s68,s912,s927,s929,s1054,s1055,s1052]) ).
cnf(s1058,plain,
( ~ spl20_199
| spl20_223
| ~ spl20_195 ),
inference(rat,[],[s451,s954,s143,s506]) ).
cnf(s1059,plain,
( ~ spl20_200
| spl20_199
| ~ spl20_195 ),
inference(rat,[],[s968,s149,s152,s523,s545]) ).
cnf(s1060,plain,
( spl20_217
| spl20_199
| ~ spl20_195 ),
inference(rat,[],[s153,s906,s244,s949,s154,s550,s330,s220,s901,s970,s1059,s145,s838,s955,s1053]) ).
cnf(s1061,plain,
( ~ spl20_262
| ~ spl20_195 ),
inference(rat,[],[s468,s150,s255,s959,s574,s1060,s839,s955,s1058,s827,s952,s293,s321,s151,s1054]) ).
cnf(s1062,plain,
( ~ spl20_204
| ~ spl20_195
| spl20_175
| ~ spl20_147 ),
inference(rat,[],[s1036,s795,s772,s797,s949,s1058,s461,s261,s152,s1059,s774,s545,s970,s778,s449,s972,s677,s654,s724,s1002,s332,s994,s409,s787,s726,s371,s993,s791,s485,s801,s953,s978,s810,s973,s630,s619,s855,s793,s991,s359,s1003,s389,s288,s977,s792,s959,s149,s151,s796,s965,s305,s950,s475,s971,s1061,s997,s355,s989,s620,s912,s68,s920,s927,s1053,s1054,s1055,s1052]) ).
cnf(s1063,plain,
( ~ spl20_195
| spl20_175
| ~ spl20_147 ),
inference(rat,[],[s1060,s152,s1058,s854,s827,s966,s952,s1062,s1061]) ).
cnf(s1064,plain,
( ~ spl20_194
| spl20_175
| ~ spl20_147 ),
inference(rat,[],[s1036,s796,s793,s260,s233,s774,s791,s795,s739,s141,s970,s778,s525,s971,s949,s875,s801,s134,s467,s485,s132,s772,s964,s1010,s1009,s724,s1002,s332,s994,s409,s978,s787,s726,s371,s991,s359,s1003,s389,s288,s977,s993,s810,s462,s461,s797,s972,s677,s973,s630,s619,s654,s997,s355,s792,s963,s902,s960,s278,s506,s955,s1049,s1063,s989,s620,s920,s68,s927,s912,s945,s1052]) ).
cnf(s1065,plain,
( spl20_175
| ~ spl20_147 ),
inference(rat,[],[s1036,s778,s801,s791,s952,s969,s232,s772,s827,s774,s793,s468,s895,s127,s954,s231,s950,s795,s537,s1013,s1012,s126,s1011,s796,s1056,s965,s829,s1064,s892,s792,s963,s797,s847,s902,s960,s461,s278,s463,s506,s955,s1049,s1063,s787,s726,s371,s991,s359,s978,s1003,s1002,s389,s724,s332,s288,s994,s993,s977,s810,s409,s972,s677,s973,s630,s619,s654,s997,s355,s989,s620,s912,s920,s927,s68,s928,s1054,s929,s1052]) ).
cnf(s1066,plain,
~ spl20_147,
inference(rat,[],[s1025,s69,s979,s1022,s661,s988,s1020,s364,s1016,s346,s1065,s677,s973,s630,s997,s355,s989,s618,s619,s620]) ).
cnf(s1068,plain,
spl20_149,
inference(rat,[],[s980,s1066]) ).
cnf(s1069,plain,
spl20_4,
inference(rat,[],[s691,s1068]) ).
cnf(s1070,plain,
~ spl20_144,
inference(rat,[],[s1018,s1068]) ).
cnf(s1071,plain,
spl20_175,
inference(rat,[],[s69,s1023,s1019,s409,s1000,s1022,s994,s704,s724,s1003,s702,s389,s288,s977,s1070,s1066,s1069]) ).
cnf(s1073,plain,
spl20_27,
inference(rat,[],[s346,s1071]) ).
cnf(s1075,plain,
~ spl20_187,
inference(rat,[],[s364,s1073]) ).
cnf(s1077,plain,
~ spl20_143,
inference(rat,[],[s1020,s1075]) ).
cnf(s1078,plain,
~ spl20_146,
inference(rat,[],[s69,s1022,s1025,s332,s1077,s1070]) ).
cnf(s1079,plain,
spl20_148,
inference(rat,[],[s1002,s1078]) ).
cnf(s1081,plain,
~ spl20_185,
inference(rat,[],[s431,s1079]) ).
cnf(s1082,plain,
~ spl20_250,
inference(rat,[],[s280,s1079]) ).
cnf(s1085,plain,
spl20_191,
inference(rat,[],[s988,s1075,s1081]) ).
cnf(s1086,plain,
spl20_258,
inference(rat,[],[s990,s1082]) ).
cnf(s1090,plain,
$false,
inference(rat,[],[s436,s1086,s1085]) ).
fof(f4034,plain,
$false,
inference(avatar_sat_refutation,[],[s1090]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG124+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:34:32 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.27/1.21 % (2932493)Detected formulas, will run a generic FOF schedule.
% 3.27/1.21 % (2932576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=848140651:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.27/1.21 % (2932572)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=2917837863:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.27/1.21 % (2932576)Instruction limit reached!
% 3.27/1.21 % (2932576)------------------------------
% 3.27/1.21 % (2932576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.21 % (2932576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.21 % (2932576)CaDiCaL version: 2.1.3
% 3.27/1.21 % (2932576)Termination reason: Instruction limit
% 3.27/1.21 % (2932576)Termination phase: Saturation
% 3.27/1.21 % (2932576)Time elapsed: 0.028 s
% 3.27/1.21 % (2932576)Peak memory usage: 90 MB
% 3.27/1.21 % (2932576)Instructions burned: 109 (million)
% 3.27/1.21 % (2932579)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1529036224:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.27/1.21 % (2932578)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=713743894:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.27/1.21 % (2932580)dis-21_1_sil=8000:lcm=predicate:random_seed=1519927820: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)
% 3.27/1.21 % (2932575)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=3442450972:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.27/1.21 % (2932574)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=2294435366:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.27/1.21 % (2932580)Refutation not found, incomplete strategy
% 3.27/1.21 % (2932580)------------------------------
% 3.27/1.21 % (2932580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.21 % (2932580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.21 % (2932580)CaDiCaL version: 2.1.3
% 3.27/1.21 % (2932580)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.21 % (2932580)Time elapsed: 0.019 s
% 3.27/1.21 % (2932580)Peak memory usage: 89 MB
% 3.27/1.21 % (2932580)Instructions burned: 37 (million)
% 3.27/1.21 % (2932578)Instruction limit reached!
% 3.27/1.21 % (2932578)------------------------------
% 3.27/1.21 % (2932578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.21 % (2932578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.21 % (2932578)CaDiCaL version: 2.1.3
% 3.27/1.21 % (2932578)Termination reason: Instruction limit
% 3.27/1.21 % (2932578)Termination phase: Saturation
% 3.27/1.21 % (2932578)Time elapsed: 0.050 s
% 3.27/1.21 % (2932578)Peak memory usage: 88 MB
% 3.27/1.21 % (2932578)Instructions burned: 119 (million)
% 3.27/1.21 % (2932579)First to succeed.
% 3.27/1.21 % (2932612)lrs+10_1_sil=8000:sp=occurrence:random_seed=507551210:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.27/1.21 % (2932579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2932493"
% 3.27/1.21 % (2932612)Also succeeded, but the first one will report.
% 3.27/1.21 % (2932630)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3372779005:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.27/1.21 % (2932580)------------------------------
% 3.27/1.21 % (2932580)------------------------------
% 3.27/1.21 % (2932630)Instruction limit reached!
% 3.27/1.21 % (2932630)------------------------------
% 3.27/1.21 % (2932630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.21 % (2932630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.21 % (2932630)CaDiCaL version: 2.1.3
% 3.27/1.21 % (2932630)Termination reason: Instruction limit
% 3.27/1.21 % (2932630)Termination phase: Saturation
% 3.27/1.21 % (2932630)Time elapsed: 0.081 s
% 3.27/1.21 % (2932630)Peak memory usage: 89 MB
% 3.27/1.21 % (2932630)Instructions burned: 158 (million)
% 3.27/1.21 % (2932579)Refutation found. Thanks to Tanya!
% 3.27/1.21 % SZS status Theorem for theBenchmark
% 3.27/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.41 % (2932579)------------------------------
% 0.20/1.41 % (2932579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.41 % (2932579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.41 % (2932579)CaDiCaL version: 2.1.3
% 0.20/1.41 % (2932579)Termination reason: Refutation
% 0.20/1.41 % (2932579)Time elapsed: 0.092 s
% 0.20/1.41 % (2932579)Peak memory usage: 91 MB
% 0.20/1.41 % (2932579)Instructions burned: 174 (million)
% 0.20/1.41 % (2932579)------------------------------
% 0.20/1.41 % (2932579)------------------------------
% 0.20/1.41 % (2932493)Success in time 0.495 s
% 0.20/1.41 % Vampire exiting
%------------------------------------------------------------------------------