%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:23:12 AM UTC 2026
% Result : Theorem 0.99s 0.45s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 237
% Syntax : Number of formulae : 1447 ( 247 unt; 220 def)
% Number of atoms : 5751 (3143 equ)
% Maximal formula atoms : 208 ( 3 avg)
% Number of connectives : 7317 (3013 ~;3029 |;1103 &)
% ( 172 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 222 ( 220 usr; 221 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ( op1(e13,op1(e13,e10)) = e10
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( 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(e10,e11) = e10
& op1(e11,e10) = e10
& ( 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(e10,e12) = e10
& op1(e12,e10) = e10
& ( 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(e10,e13) = e10
& op1(e13,e10) = e10
& ( 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 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( 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,e11) = e11
& op1(e11,e11) = e11
& ( 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(e11,e12) = e11
& op1(e12,e11) = e11
& ( 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(e11,e13) = e11
& op1(e13,e11) = e11
& ( 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 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( 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(e12,e11) = e12
& op1(e11,e12) = e12
& ( 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,e12) = e12
& op1(e12,e12) = e12
& ( 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(e12,e13) = e12
& op1(e13,e12) = e12
& ( 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 ) )
| ( op1(e13,e10) = e13
& op1(e10,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(e13,e11) = e13
& op1(e11,e13) = 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(e13,e12) = e13
& op1(e12,e13) = 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,e13) = e13
& op1(e13,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/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ( op2(e23,op2(e23,e20)) = e20
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( 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(e20,e21) = e20
& op2(e21,e20) = e20
& ( 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(e20,e22) = e20
& op2(e22,e20) = e20
& ( 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(e20,e23) = e20
& op2(e23,e20) = e20
& ( 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 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( 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,e21) = e21
& op2(e21,e21) = e21
& ( 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(e21,e22) = e21
& op2(e22,e21) = e21
& ( 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(e21,e23) = e21
& op2(e23,e21) = e21
& ( 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 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( 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(e22,e21) = e22
& op2(e21,e22) = e22
& ( 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,e22) = e22
& op2(e22,e22) = e22
& ( 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(e22,e23) = e22
& op2(e23,e22) = e22
& ( 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 ) )
| ( op2(e23,e20) = e23
& op2(e20,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(e23,e21) = e23
& op2(e21,e23) = 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(e23,e22) = e23
& op2(e22,e23) = 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,e23) = e23
& op2(e23,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/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(e11,e11)
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e13 = op1(op1(e11,e11),op1(e11,e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(e21,e21)
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e23 = op2(op2(e21,e21),op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e10) = op2(e20,e20)
& h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e13) = op2(op2(e20,e20),op2(e20,e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = e21
& h2(e10) = op2(e21,e21)
& h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e13) = op2(op2(e21,e21),op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = e22
& h3(e10) = op2(e22,e22)
& h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e11) = e23
& h4(e10) = op2(e23,e23)
& h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e13) = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,definition,
( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& ( 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(e13,e12) = e13
& op1(e12,e13) = 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 ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op1(e13,e11) = e13
& op1(e11,e13) = 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 ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op1(e13,e10) = e13
& op1(e10,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 ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( 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 ) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( 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 ) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( 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 ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( 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 ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( 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 ) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( 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 ) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( 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 ) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( 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 ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( 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 ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( 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 ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( 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 ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op1(e13,op1(e13,e10)) = e10
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f39,plain,
( ( ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| sP17
| sP16
| sP15 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( 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 ) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f40,definition,
( ( op2(e23,e23) = e23
& op2(e23,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 ) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( op2(e23,e22) = e23
& op2(e22,e23) = 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 ) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( op2(e23,e21) = e23
& op2(e21,e23) = 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 ) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( op2(e23,e20) = e23
& op2(e20,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 ) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( 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 ) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( 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 ) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( 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 ) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( 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 ) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( 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 ) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( 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 ) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( 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 ) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( 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 ) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( 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 ) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( 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 ) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( 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 ) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op2(e23,op2(e23,e20)) = e20
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| sP35
| sP34
| sP33 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( 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 ) )
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ) ),
inference(definition_folding,[],[f11,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f59,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f71,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) )
| sP47
| sP46
| sP45 )
& ( 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) )
| sP44
| sP43
| sP42 )
& ( 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) )
| sP41
| sP40
| sP39 )
& ( 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) )
| sP38
| sP37
| sP36 ) ),
inference(definition_folding,[],[f20,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f72,plain,
( ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ( op1(e13,op1(e13,e10)) = e10
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f75,plain,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( 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 ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f76,plain,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( 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 ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f77,plain,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( 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 ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f78,plain,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( 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 ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( 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 ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f80,plain,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( 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 ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f81,plain,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( 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 ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f82,plain,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( 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 ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f83,plain,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( 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 ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f84,plain,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( 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 ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f85,plain,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( 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 ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f86,plain,
( ( op1(e13,e10) = e13
& op1(e10,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 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
( ( op1(e13,e11) = e13
& op1(e11,e13) = 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 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f88,plain,
( ( op1(e13,e12) = e13
& op1(e12,e13) = 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 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f89,plain,
( ( op1(e13,e13) = e13
& op1(e13,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(f90,plain,
( ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f91,plain,
( ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f92,plain,
( ( op2(e23,op2(e23,e20)) = e20
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f93,plain,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( 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 ) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f94,plain,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( 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 ) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f95,plain,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( 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 ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f96,plain,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( 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 ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f97,plain,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( 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 ) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f98,plain,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( 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 ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f99,plain,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( 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 ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f100,plain,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( 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 ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f101,plain,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( 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 ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f102,plain,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( 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 ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f103,plain,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( 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 ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f104,plain,
( ( op2(e23,e20) = e23
& op2(e20,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 ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f105,plain,
( ( op2(e23,e21) = e23
& op2(e21,e23) = 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 ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f106,plain,
( ( op2(e23,e22) = e23
& op2(e22,e23) = 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 ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f107,plain,
( ( op2(e23,e23) = e23
& op2(e23,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 ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f111,plain,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f112,plain,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f113,plain,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f122,plain,
( e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f125,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f128,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f129,plain,
( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f132,plain,
( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f134,plain,
( e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f141,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
( e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f3]) ).
fof(f190,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f212,plain,
( op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f229,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f256,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f257,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f259,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f263,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f264,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f301,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f304,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f312,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f315,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f316,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f317,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f318,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f321,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f323,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f341,plain,
( e11 != op1(e12,e12)
| e12 = op1(e12,e11)
| ~ sP17 ),
inference(cnf_transformation,[],[f72]) ).
fof(f353,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f73]) ).
fof(f360,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ sP15 ),
inference(cnf_transformation,[],[f74]) ).
fof(f367,plain,
( e11 != op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP14 ),
inference(cnf_transformation,[],[f75]) ).
fof(f370,plain,
( e12 != op1(e12,e13)
| e13 != op1(e12,e12)
| ~ sP13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f371,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f375,plain,
( e10 = op1(e10,e12)
| ~ sP13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f380,plain,
( e10 = op1(e13,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f77]) ).
fof(f382,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) != e13
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f386,plain,
( e11 = op1(e10,e11)
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f392,plain,
( e11 = op1(e11,e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f79]) ).
fof(f399,plain,
( e11 = op1(e11,e12)
| ~ sP9 ),
inference(cnf_transformation,[],[f80]) ).
fof(f405,plain,
( e11 = op1(e11,e13)
| ~ sP8 ),
inference(cnf_transformation,[],[f81]) ).
fof(f411,plain,
( e12 = op1(e12,e10)
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f415,plain,
( e11 != op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP6 ),
inference(cnf_transformation,[],[f83]) ).
fof(f419,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f423,plain,
( e12 = op1(e12,e12)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f428,plain,
( e12 = op1(e13,e12)
| ~ sP4 ),
inference(cnf_transformation,[],[f85]) ).
fof(f435,plain,
( e13 = op1(e13,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f86]) ).
fof(f439,plain,
( e11 != op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f443,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f446,plain,
( e13 = op1(e12,e13)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f447,plain,
( e13 = op1(e13,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f448,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f453,plain,
( e13 = op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f459,plain,
( e10 = op1(e10,e10)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f467,plain,
( e10 = op1(e10,op1(e10,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f39]) ).
fof(f469,plain,
( e21 != op2(e22,e22)
| e22 = op2(e22,e21)
| ~ sP35 ),
inference(cnf_transformation,[],[f90]) ).
fof(f480,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ sP34 ),
inference(cnf_transformation,[],[f91]) ).
fof(f488,plain,
( e23 = op2(e23,op2(e23,e23))
| ~ sP33 ),
inference(cnf_transformation,[],[f92]) ).
fof(f495,plain,
( e21 != op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f93]) ).
fof(f498,plain,
( e22 != op2(e22,e23)
| e23 != op2(e22,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f94]) ).
fof(f499,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f94]) ).
fof(f503,plain,
( e20 = op2(e20,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f94]) ).
fof(f508,plain,
( e20 = op2(e23,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f95]) ).
fof(f510,plain,
( e20 != op2(e20,e23)
| op2(e20,e20) != e23
| ~ sP29 ),
inference(cnf_transformation,[],[f96]) ).
fof(f514,plain,
( e21 = op2(e20,e21)
| ~ sP29 ),
inference(cnf_transformation,[],[f96]) ).
fof(f520,plain,
( e21 = op2(e21,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f97]) ).
fof(f527,plain,
( e21 = op2(e21,e22)
| ~ sP27 ),
inference(cnf_transformation,[],[f98]) ).
fof(f533,plain,
( e21 = op2(e21,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f99]) ).
fof(f539,plain,
( e22 = op2(e22,e20)
| ~ sP25 ),
inference(cnf_transformation,[],[f100]) ).
fof(f543,plain,
( e21 != op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP24 ),
inference(cnf_transformation,[],[f101]) ).
fof(f547,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f551,plain,
( e22 = op2(e22,e22)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f556,plain,
( e22 = op2(e23,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
fof(f563,plain,
( e23 = op2(e23,e20)
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f567,plain,
( e21 != op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f571,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f574,plain,
( e23 = op2(e22,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f575,plain,
( e23 = op2(e23,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f576,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f581,plain,
( e23 = op2(e23,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f587,plain,
( e20 = op2(e20,e20)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f58]) ).
fof(f588,plain,
( e20 != op2(e23,e23)
| e23 = op2(e23,e20)
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f58]) ).
fof(f596,plain,
e13 = op1(op1(e11,e11),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f597,plain,
e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f598,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f599,plain,
e23 = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f600,plain,
e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f601,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f602,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f604,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f606,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f607,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f608,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f609,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f612,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f616,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f632,plain,
( e21 != h2(e11)
| ~ sP44 ),
inference(cnf_transformation,[],[f111]) ).
fof(f635,plain,
( e22 != h2(e12)
| ~ sP43 ),
inference(cnf_transformation,[],[f112]) ).
fof(f638,plain,
( e23 != h2(e13)
| ~ sP42 ),
inference(cnf_transformation,[],[f113]) ).
fof(f677,plain,
( 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)
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f71]) ).
fof(f683,plain,
( e23 != op2(e23,e23)
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f576]) ).
fof(f684,plain,
( e22 != op2(e22,e22)
| ~ sP19 ),
inference(duplicate_literal_removal,[],[f571]) ).
fof(f688,plain,
( e22 != op2(e22,e22)
| ~ sP23 ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f696,plain,
( e22 != op2(e22,e22)
| ~ sP31 ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f699,plain,
( e13 != op1(e13,e13)
| ~ sP0 ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f700,plain,
( e12 != op1(e12,e12)
| ~ sP1 ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f704,plain,
( e12 != op1(e12,e12)
| ~ sP5 ),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f712,plain,
( e12 != op1(e12,e12)
| ~ sP13 ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f806,definition,
( spl48_23
<=> e20 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl48_23])],[avatar_definition]) ).
fof(f807,plain,
( e20 = h4(e10)
| ~ spl48_23 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f902,definition,
( spl48_46
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl48_46])],[avatar_definition]) ).
fof(f903,plain,
( e20 = h3(e10)
| ~ spl48_46 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f907,definition,
( spl48_47
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl48_47])],[avatar_definition]) ).
fof(f911,definition,
( spl48_48
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl48_48])],[avatar_definition]) ).
fof(f915,definition,
( spl48_49
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl48_49])],[avatar_definition]) ).
fof(f923,definition,
( spl48_51
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl48_51])],[avatar_definition]) ).
fof(f925,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl48_51 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f927,definition,
( spl48_52
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl48_52])],[avatar_definition]) ).
fof(f929,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl48_52 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f931,definition,
( spl48_53
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl48_53])],[avatar_definition]) ).
fof(f933,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl48_53 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f935,definition,
( spl48_54
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl48_54])],[avatar_definition]) ).
fof(f937,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl48_54 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f939,definition,
( spl48_55
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl48_55])],[avatar_definition]) ).
fof(f941,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl48_55 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f943,definition,
( spl48_56
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl48_56])],[avatar_definition]) ).
fof(f945,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl48_56 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f947,definition,
( spl48_57
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl48_57])],[avatar_definition]) ).
fof(f949,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl48_57 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f951,definition,
( spl48_58
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl48_58])],[avatar_definition]) ).
fof(f953,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl48_58 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f955,definition,
( spl48_59
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl48_59])],[avatar_definition]) ).
fof(f957,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl48_59 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f959,definition,
( spl48_60
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl48_60])],[avatar_definition]) ).
fof(f961,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl48_60 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f963,definition,
( spl48_61
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl48_61])],[avatar_definition]) ).
fof(f965,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl48_61 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f967,definition,
( spl48_62
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl48_62])],[avatar_definition]) ).
fof(f969,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl48_62 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f971,definition,
( spl48_63
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl48_63])],[avatar_definition]) ).
fof(f973,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl48_63 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f975,definition,
( spl48_64
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl48_64])],[avatar_definition]) ).
fof(f977,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl48_64 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f979,definition,
( spl48_65
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl48_65])],[avatar_definition]) ).
fof(f981,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl48_65 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f983,definition,
( spl48_66
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl48_66])],[avatar_definition]) ).
fof(f985,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl48_66 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f998,definition,
( spl48_69
<=> e20 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl48_69])],[avatar_definition]) ).
fof(f999,plain,
( e20 = h2(e10)
| ~ spl48_69 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1001,plain,
( spl48_47
| spl48_48
| spl48_49
| ~ spl48_69
| ~ spl48_51
| ~ spl48_52
| ~ spl48_53
| ~ spl48_54
| ~ spl48_55
| ~ spl48_56
| ~ spl48_57
| ~ spl48_58
| ~ spl48_59
| ~ spl48_60
| ~ spl48_61
| ~ spl48_62
| ~ spl48_63
| ~ spl48_64
| ~ spl48_65
| ~ spl48_66 ),
inference(avatar_split_clause,[],[f677,f983,f979,f975,f971,f967,f963,f959,f955,f951,f947,f943,f939,f935,f931,f927,f923,f998,f915,f911,f907]) ).
fof(f1015,definition,
( spl48_73
<=> e20 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl48_73])],[avatar_definition]) ).
fof(f1016,plain,
( e20 = h1(e13)
| ~ spl48_73 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1094,definition,
( spl48_92
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl48_92])],[avatar_definition]) ).
fof(f1095,plain,
( e20 = h1(e10)
| ~ spl48_92 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1114,definition,
( spl48_96
<=> e23 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl48_96])],[avatar_definition]) ).
fof(f1174,definition,
( spl48_108
<=> e23 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl48_108])],[avatar_definition]) ).
fof(f1175,plain,
( e23 = h3(e10)
| ~ spl48_108 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1194,definition,
( spl48_112
<=> e22 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl48_112])],[avatar_definition]) ).
fof(f1195,plain,
( e22 = h3(e10)
| ~ spl48_112 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1214,definition,
( spl48_116
<=> e21 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl48_116])],[avatar_definition]) ).
fof(f1215,plain,
( e21 = h3(e10)
| ~ spl48_116 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1219,definition,
( spl48_117
<=> e23 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl48_117])],[avatar_definition]) ).
fof(f1220,plain,
( e23 = h2(e13)
| ~ spl48_117 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1222,plain,
( ~ spl48_47
| ~ spl48_117 ),
inference(avatar_split_clause,[],[f638,f1219,f907]) ).
fof(f1244,definition,
( spl48_122
<=> e22 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl48_122])],[avatar_definition]) ).
fof(f1245,plain,
( e22 = h2(e12)
| ~ spl48_122 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1247,plain,
( ~ spl48_48
| ~ spl48_122 ),
inference(avatar_split_clause,[],[f635,f1244,f911]) ).
fof(f1269,definition,
( spl48_127
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl48_127])],[avatar_definition]) ).
fof(f1270,plain,
( e21 = h2(e11)
| ~ spl48_127 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1272,plain,
( ~ spl48_49
| ~ spl48_127 ),
inference(avatar_split_clause,[],[f632,f1269,f915]) ).
fof(f1294,definition,
( spl48_132
<=> e23 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl48_132])],[avatar_definition]) ).
fof(f1295,plain,
( e23 = h1(e10)
| ~ spl48_132 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1314,definition,
( spl48_136
<=> e22 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl48_136])],[avatar_definition]) ).
fof(f1315,plain,
( e22 = h1(e10)
| ~ spl48_136 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1334,definition,
( spl48_140
<=> e21 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl48_140])],[avatar_definition]) ).
fof(f1335,plain,
( e21 = h1(e10)
| ~ spl48_140 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1344,plain,
h2(e12) = op2(h2(e13),op2(e21,e21)),
inference(forward_demodulation,[],[f607,f606]) ).
fof(f1345,plain,
h2(e13) = op2(h2(e10),h2(e10)),
inference(backward_demodulation,[],[f606,f608]) ).
fof(f1346,plain,
spl48_127,
inference(avatar_split_clause,[],[f609,f1269]) ).
fof(f1348,plain,
h1(e13) = op2(h1(e10),h1(e10)),
inference(backward_demodulation,[],[f602,f604]) ).
fof(f1350,plain,
e23 = op2(h2(e10),h2(e10)),
inference(forward_demodulation,[],[f599,f608]) ).
fof(f1351,plain,
e22 = op2(op2(h2(e10),h2(e10)),h2(e10)),
inference(forward_demodulation,[],[f600,f608]) ).
fof(f1352,plain,
e20 = h2(e10),
inference(backward_demodulation,[],[f608,f601]) ).
fof(f1353,plain,
e12 = op1(e13,op1(e11,e11)),
inference(forward_demodulation,[],[f597,f596]) ).
fof(f1354,plain,
op1(e10,e10) = e13,
inference(backward_demodulation,[],[f596,f598]) ).
fof(f1360,plain,
( e20 = h1(e10)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(forward_demodulation,[],[f587,f604]) ).
fof(f1361,plain,
( e20 != h4(e10)
| e23 = op2(e23,e20)
| sP35
| sP34
| sP33 ),
inference(forward_demodulation,[],[f588,f616]) ).
fof(f1365,definition,
( spl48_141
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl48_141])],[avatar_definition]) ).
fof(f1369,definition,
( spl48_142
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl48_142])],[avatar_definition]) ).
fof(f1373,definition,
( spl48_143
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl48_143])],[avatar_definition]) ).
fof(f1392,plain,
( e23 != h4(e10)
| ~ sP18 ),
inference(forward_demodulation,[],[f683,f616]) ).
fof(f1397,plain,
( e23 = h4(e10)
| ~ sP18 ),
inference(forward_demodulation,[],[f581,f616]) ).
fof(f1399,plain,
( e22 != h3(e10)
| ~ sP19 ),
inference(forward_demodulation,[],[f684,f612]) ).
fof(f1403,definition,
( spl48_147
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl48_147])],[avatar_definition]) ).
fof(f1407,definition,
( spl48_148
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl48_148])],[avatar_definition]) ).
fof(f1409,plain,
( e23 = op2(e22,e23)
| ~ spl48_148 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1410,plain,
( ~ spl48_147
| spl48_148 ),
inference(avatar_split_clause,[],[f574,f1407,f1403]) ).
fof(f1412,definition,
( spl48_149
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl48_149])],[avatar_definition]) ).
fof(f1414,plain,
( e23 = op2(e23,e22)
| ~ spl48_149 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1415,plain,
( ~ spl48_147
| spl48_149 ),
inference(avatar_split_clause,[],[f575,f1412,f1403]) ).
fof(f1419,plain,
( e21 != op2(e21,e20)
| ~ sP20 ),
inference(forward_subsumption_resolution,[],[f567,f601]) ).
fof(f1421,definition,
( spl48_150
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl48_150])],[avatar_definition]) ).
fof(f1425,definition,
( spl48_151
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl48_151])],[avatar_definition]) ).
fof(f1427,plain,
( e23 = op2(e21,e23)
| ~ spl48_151 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1430,definition,
( spl48_152
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl48_152])],[avatar_definition]) ).
fof(f1432,plain,
( e23 = op2(e23,e21)
| ~ spl48_152 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1439,definition,
( spl48_153
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl48_153])],[avatar_definition]) ).
fof(f1448,definition,
( spl48_155
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl48_155])],[avatar_definition]) ).
fof(f1450,plain,
( e23 = op2(e23,e20)
| ~ spl48_155 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1451,plain,
( ~ spl48_153
| spl48_155 ),
inference(avatar_split_clause,[],[f563,f1448,f1439]) ).
fof(f1457,definition,
( spl48_156
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl48_156])],[avatar_definition]) ).
fof(f1461,definition,
( spl48_157
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl48_157])],[avatar_definition]) ).
fof(f1463,plain,
( e22 = op2(e23,e22)
| ~ spl48_157 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1464,plain,
( ~ spl48_156
| spl48_157 ),
inference(avatar_split_clause,[],[f556,f1461,f1457]) ).
fof(f1466,definition,
( spl48_158
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl48_158])],[avatar_definition]) ).
fof(f1468,plain,
( e22 = op2(e22,e23)
| ~ spl48_158 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1471,plain,
( e22 != h3(e10)
| ~ sP23 ),
inference(forward_demodulation,[],[f688,f612]) ).
fof(f1475,plain,
( e22 = h3(e10)
| ~ sP23 ),
inference(forward_demodulation,[],[f551,f612]) ).
fof(f1479,plain,
( e21 != op2(e21,e20)
| ~ sP24 ),
inference(forward_subsumption_resolution,[],[f543,f601]) ).
fof(f1481,definition,
( spl48_159
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl48_159])],[avatar_definition]) ).
fof(f1485,definition,
( spl48_160
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl48_160])],[avatar_definition]) ).
fof(f1487,plain,
( e22 = op2(e21,e22)
| ~ spl48_160 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1490,definition,
( spl48_161
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl48_161])],[avatar_definition]) ).
fof(f1492,plain,
( e22 = op2(e22,e21)
| ~ spl48_161 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1499,definition,
( spl48_162
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl48_162])],[avatar_definition]) ).
fof(f1503,definition,
( spl48_163
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl48_163])],[avatar_definition]) ).
fof(f1505,plain,
( e22 = op2(e20,e22)
| ~ spl48_163 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1508,definition,
( spl48_164
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl48_164])],[avatar_definition]) ).
fof(f1510,plain,
( e22 = op2(e22,e20)
| ~ spl48_164 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1511,plain,
( ~ spl48_162
| spl48_164 ),
inference(avatar_split_clause,[],[f539,f1508,f1499]) ).
fof(f1517,definition,
( spl48_165
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl48_165])],[avatar_definition]) ).
fof(f1521,definition,
( spl48_166
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl48_166])],[avatar_definition]) ).
fof(f1523,plain,
( e21 = op2(e23,e21)
| ~ spl48_166 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1526,definition,
( spl48_167
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl48_167])],[avatar_definition]) ).
fof(f1528,plain,
( e21 = op2(e21,e23)
| ~ spl48_167 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1529,plain,
( ~ spl48_165
| spl48_167 ),
inference(avatar_split_clause,[],[f533,f1526,f1517]) ).
fof(f1535,definition,
( spl48_168
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl48_168])],[avatar_definition]) ).
fof(f1539,definition,
( spl48_169
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl48_169])],[avatar_definition]) ).
fof(f1541,plain,
( e21 = op2(e22,e21)
| ~ spl48_169 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1544,definition,
( spl48_170
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl48_170])],[avatar_definition]) ).
fof(f1546,plain,
( e21 = op2(e21,e22)
| ~ spl48_170 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,plain,
( ~ spl48_168
| spl48_170 ),
inference(avatar_split_clause,[],[f527,f1544,f1535]) ).
fof(f1552,plain,
( e20 = e21
| ~ sP28 ),
inference(forward_demodulation,[],[f520,f601]) ).
fof(f1554,plain,
( e23 != h1(e10)
| e20 != op2(e20,e23)
| ~ sP29 ),
inference(forward_demodulation,[],[f510,f604]) ).
fof(f1559,definition,
( spl48_171
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl48_171])],[avatar_definition]) ).
fof(f1563,definition,
( spl48_172
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl48_172])],[avatar_definition]) ).
fof(f1565,plain,
( e21 = op2(e20,e21)
| ~ spl48_172 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1566,plain,
( ~ spl48_171
| spl48_172 ),
inference(avatar_split_clause,[],[f514,f1563,f1559]) ).
fof(f1568,definition,
( spl48_173
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl48_173])],[avatar_definition]) ).
fof(f1570,plain,
( e21 = op2(e21,e20)
| ~ spl48_173 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1577,definition,
( spl48_174
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl48_174])],[avatar_definition]) ).
fof(f1581,definition,
( spl48_175
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl48_175])],[avatar_definition]) ).
fof(f1583,plain,
( e20 = op2(e23,e20)
| ~ spl48_175 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1584,plain,
( ~ spl48_174
| spl48_175 ),
inference(avatar_split_clause,[],[f508,f1581,f1577]) ).
fof(f1586,definition,
( spl48_176
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl48_176])],[avatar_definition]) ).
fof(f1588,plain,
( e20 = op2(e20,e23)
| ~ spl48_176 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1590,plain,
( e23 != h3(e10)
| e22 != op2(e22,e23)
| ~ sP31 ),
inference(forward_demodulation,[],[f498,f612]) ).
fof(f1591,plain,
( e22 != h3(e10)
| ~ sP31 ),
inference(forward_demodulation,[],[f696,f612]) ).
fof(f1595,definition,
( spl48_177
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl48_177])],[avatar_definition]) ).
fof(f1599,definition,
( spl48_178
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl48_178])],[avatar_definition]) ).
fof(f1601,plain,
( e20 = op2(e22,e20)
| ~ spl48_178 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f1604,definition,
( spl48_179
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl48_179])],[avatar_definition]) ).
fof(f1606,plain,
( e20 = op2(e20,e22)
| ~ spl48_179 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1607,plain,
( ~ spl48_177
| spl48_179 ),
inference(avatar_split_clause,[],[f503,f1604,f1595]) ).
fof(f1611,plain,
( e21 != op2(e21,e20)
| ~ sP32 ),
inference(forward_subsumption_resolution,[],[f495,f601]) ).
fof(f1613,definition,
( spl48_180
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl48_180])],[avatar_definition]) ).
fof(f1617,definition,
( spl48_181
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl48_181])],[avatar_definition]) ).
fof(f1622,definition,
( spl48_182
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl48_182])],[avatar_definition]) ).
fof(f1629,plain,
( e23 = op2(e23,h4(e10))
| ~ sP33 ),
inference(forward_demodulation,[],[f488,f616]) ).
fof(f1649,definition,
( spl48_186
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl48_186])],[avatar_definition]) ).
fof(f1651,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ spl48_186 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1652,plain,
( ~ spl48_142
| spl48_186 ),
inference(avatar_split_clause,[],[f480,f1649,f1369]) ).
fof(f1665,plain,
( e21 != h3(e10)
| e22 = op2(e22,e21)
| ~ sP35 ),
inference(forward_demodulation,[],[f469,f612]) ).
fof(f1684,definition,
( spl48_192
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl48_192])],[avatar_definition]) ).
fof(f1688,definition,
( spl48_193
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl48_193])],[avatar_definition]) ).
fof(f1692,definition,
( spl48_194
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl48_194])],[avatar_definition]) ).
fof(f1696,definition,
( spl48_195
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl48_195])],[avatar_definition]) ).
fof(f1700,definition,
( spl48_196
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl48_196])],[avatar_definition]) ).
fof(f1704,definition,
( spl48_197
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl48_197])],[avatar_definition]) ).
fof(f1708,definition,
( spl48_198
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl48_198])],[avatar_definition]) ).
fof(f1712,definition,
( spl48_199
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl48_199])],[avatar_definition]) ).
fof(f1716,definition,
( spl48_200
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl48_200])],[avatar_definition]) ).
fof(f1720,definition,
( spl48_201
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl48_201])],[avatar_definition]) ).
fof(f1724,definition,
( spl48_202
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl48_202])],[avatar_definition]) ).
fof(f1728,definition,
( spl48_203
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl48_203])],[avatar_definition]) ).
fof(f1732,definition,
( spl48_204
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl48_204])],[avatar_definition]) ).
fof(f1736,definition,
( spl48_205
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl48_205])],[avatar_definition]) ).
fof(f1740,definition,
( spl48_206
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl48_206])],[avatar_definition]) ).
fof(f1744,definition,
( spl48_207
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl48_207])],[avatar_definition]) ).
fof(f1745,plain,
( op1(e10,e10) = e13
| ~ spl48_207 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1748,definition,
( spl48_208
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl48_208])],[avatar_definition]) ).
fof(f1749,plain,
( e10 = op1(e10,e13)
| ~ spl48_208 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1753,definition,
( spl48_209
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl48_209])],[avatar_definition]) ).
fof(f1754,plain,
( op1(e10,e10) = e12
| ~ spl48_209 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1757,definition,
( spl48_210
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl48_210])],[avatar_definition]) ).
fof(f1758,plain,
( e10 = op1(e10,e12)
| ~ spl48_210 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1766,definition,
( spl48_212
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl48_212])],[avatar_definition]) ).
fof(f1771,definition,
( spl48_213
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl48_213])],[avatar_definition]) ).
fof(f1772,plain,
( e10 = op1(e10,e10)
| ~ spl48_213 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1776,plain,
( spl48_192
| spl48_193
| spl48_194
| spl48_195
| spl48_196
| spl48_197
| spl48_198
| spl48_199
| spl48_200
| spl48_201
| spl48_202
| spl48_203
| spl48_204
| spl48_205
| spl48_206
| spl48_213 ),
inference(avatar_split_clause,[],[f459,f1771,f1740,f1736,f1732,f1728,f1724,f1720,f1716,f1712,f1708,f1704,f1700,f1696,f1692,f1688,f1684]) ).
fof(f1778,definition,
( spl48_214
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl48_214])],[avatar_definition]) ).
fof(f1782,definition,
( spl48_215
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl48_215])],[avatar_definition]) ).
fof(f1786,definition,
( spl48_216
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl48_216])],[avatar_definition]) ).
fof(f1790,definition,
( spl48_217
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl48_217])],[avatar_definition]) ).
fof(f1792,plain,
( e13 = op1(e13,e10)
| ~ spl48_217 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1794,definition,
( spl48_218
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl48_218])],[avatar_definition]) ).
fof(f1795,plain,
( e10 = op1(e13,e13)
| ~ spl48_218 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1799,definition,
( spl48_219
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl48_219])],[avatar_definition]) ).
fof(f1801,plain,
( e12 = op1(e12,e10)
| ~ spl48_219 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f1803,definition,
( spl48_220
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl48_220])],[avatar_definition]) ).
fof(f1804,plain,
( e10 = op1(e12,e12)
| ~ spl48_220 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f1824,definition,
( spl48_224
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl48_224])],[avatar_definition]) ).
fof(f1826,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl48_224 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f1827,plain,
( spl48_214
| spl48_215
| spl48_216
| spl48_224 ),
inference(avatar_split_clause,[],[f467,f1824,f1786,f1782,f1778]) ).
fof(f1829,definition,
( spl48_225
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl48_225])],[avatar_definition]) ).
fof(f1832,plain,
( ~ spl48_192
| ~ spl48_225 ),
inference(avatar_split_clause,[],[f699,f1829,f1684]) ).
fof(f1838,definition,
( spl48_227
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl48_227])],[avatar_definition]) ).
fof(f1839,plain,
( e13 = op1(e13,e12)
| ~ spl48_227 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1843,definition,
( spl48_228
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl48_228])],[avatar_definition]) ).
fof(f1844,plain,
( e11 = op1(e13,e13)
| ~ spl48_228 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1847,definition,
( spl48_229
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl48_229])],[avatar_definition]) ).
fof(f1848,plain,
( e13 = op1(e13,e11)
| ~ spl48_229 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f1853,plain,
( ~ spl48_192
| spl48_225 ),
inference(avatar_split_clause,[],[f453,f1829,f1684]) ).
fof(f1855,definition,
( spl48_230
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl48_230])],[avatar_definition]) ).
fof(f1856,plain,
( e13 = op1(e12,e12)
| ~ spl48_230 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1859,definition,
( spl48_231
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl48_231])],[avatar_definition]) ).
fof(f1860,plain,
( e12 = op1(e12,e13)
| ~ spl48_231 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1864,definition,
( spl48_232
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl48_232])],[avatar_definition]) ).
fof(f1867,plain,
( ~ spl48_193
| ~ spl48_232 ),
inference(avatar_split_clause,[],[f700,f1864,f1688]) ).
fof(f1869,definition,
( spl48_233
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl48_233])],[avatar_definition]) ).
fof(f1870,plain,
( e11 = op1(e12,e12)
| ~ spl48_233 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1873,definition,
( spl48_234
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl48_234])],[avatar_definition]) ).
fof(f1874,plain,
( e12 = op1(e12,e11)
| ~ spl48_234 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f1879,definition,
( spl48_235
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl48_235])],[avatar_definition]) ).
fof(f1881,plain,
( e13 = op1(e12,e13)
| ~ spl48_235 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1882,plain,
( ~ spl48_193
| spl48_235 ),
inference(avatar_split_clause,[],[f446,f1879,f1688]) ).
fof(f1883,plain,
( ~ spl48_193
| spl48_227 ),
inference(avatar_split_clause,[],[f447,f1838,f1688]) ).
fof(f1887,plain,
( e11 != op1(e11,e10)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f439,f598]) ).
fof(f1889,definition,
( spl48_236
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl48_236])],[avatar_definition]) ).
fof(f1891,plain,
( e13 = op1(e11,e13)
| ~ spl48_236 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1899,definition,
( spl48_237
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl48_237])],[avatar_definition]) ).
fof(f1901,plain,
( e13 = op1(e10,e13)
| ~ spl48_237 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1903,plain,
( ~ spl48_195
| spl48_217 ),
inference(avatar_split_clause,[],[f435,f1790,f1696]) ).
fof(f1909,definition,
( spl48_238
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl48_238])],[avatar_definition]) ).
fof(f1911,plain,
( e12 = op1(e13,e12)
| ~ spl48_238 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1912,plain,
( ~ spl48_196
| spl48_238 ),
inference(avatar_split_clause,[],[f428,f1909,f1700]) ).
fof(f1915,plain,
( ~ spl48_197
| ~ spl48_232 ),
inference(avatar_split_clause,[],[f704,f1864,f1704]) ).
fof(f1919,plain,
( ~ spl48_197
| spl48_232 ),
inference(avatar_split_clause,[],[f423,f1864,f1704]) ).
fof(f1923,plain,
( e11 != op1(e11,e10)
| ~ sP6 ),
inference(forward_subsumption_resolution,[],[f415,f598]) ).
fof(f1925,definition,
( spl48_239
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl48_239])],[avatar_definition]) ).
fof(f1927,plain,
( e12 = op1(e11,e12)
| ~ spl48_239 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f1935,definition,
( spl48_240
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl48_240])],[avatar_definition]) ).
fof(f1937,plain,
( e12 = op1(e10,e12)
| ~ spl48_240 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1939,plain,
( ~ spl48_199
| spl48_219 ),
inference(avatar_split_clause,[],[f411,f1799,f1712]) ).
fof(f1945,definition,
( spl48_241
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl48_241])],[avatar_definition]) ).
fof(f1947,plain,
( e11 = op1(e13,e11)
| ~ spl48_241 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1950,definition,
( spl48_242
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl48_242])],[avatar_definition]) ).
fof(f1952,plain,
( e11 = op1(e11,e13)
| ~ spl48_242 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f1953,plain,
( ~ spl48_200
| spl48_242 ),
inference(avatar_split_clause,[],[f405,f1950,f1716]) ).
fof(f1959,definition,
( spl48_243
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl48_243])],[avatar_definition]) ).
fof(f1961,plain,
( e11 = op1(e12,e11)
| ~ spl48_243 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1964,definition,
( spl48_244
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl48_244])],[avatar_definition]) ).
fof(f1966,plain,
( e11 = op1(e11,e12)
| ~ spl48_244 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1967,plain,
( ~ spl48_201
| spl48_244 ),
inference(avatar_split_clause,[],[f399,f1964,f1720]) ).
fof(f1972,plain,
( e10 = e11
| ~ sP10 ),
inference(forward_demodulation,[],[f392,f598]) ).
fof(f1974,plain,
( ~ spl48_203
| ~ spl48_207
| ~ spl48_208 ),
inference(avatar_split_clause,[],[f382,f1748,f1744,f1728]) ).
fof(f1979,definition,
( spl48_245
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl48_245])],[avatar_definition]) ).
fof(f1981,plain,
( e11 = op1(e10,e11)
| ~ spl48_245 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f1982,plain,
( ~ spl48_203
| spl48_245 ),
inference(avatar_split_clause,[],[f386,f1979,f1728]) ).
fof(f1984,definition,
( spl48_246
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl48_246])],[avatar_definition]) ).
fof(f1986,plain,
( e11 = op1(e11,e10)
| ~ spl48_246 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1993,definition,
( spl48_247
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl48_247])],[avatar_definition]) ).
fof(f1995,plain,
( e10 = op1(e13,e10)
| ~ spl48_247 ),
inference(avatar_component_clause,[],[f1993]) ).
fof(f1996,plain,
( ~ spl48_204
| spl48_247 ),
inference(avatar_split_clause,[],[f380,f1993,f1732]) ).
fof(f1998,plain,
( ~ spl48_205
| ~ spl48_230
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f370,f1859,f1855,f1736]) ).
fof(f1999,plain,
( ~ spl48_205
| ~ spl48_232 ),
inference(avatar_split_clause,[],[f712,f1864,f1736]) ).
fof(f2003,definition,
( spl48_248
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl48_248])],[avatar_definition]) ).
fof(f2005,plain,
( e10 = op1(e12,e10)
| ~ spl48_248 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f2007,plain,
( ~ spl48_205
| spl48_210 ),
inference(avatar_split_clause,[],[f375,f1757,f1736]) ).
fof(f2011,plain,
( e11 != op1(e11,e10)
| ~ sP14 ),
inference(forward_subsumption_resolution,[],[f367,f598]) ).
fof(f2013,definition,
( spl48_249
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl48_249])],[avatar_definition]) ).
fof(f2022,definition,
( spl48_250
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl48_250])],[avatar_definition]) ).
fof(f2024,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl48_250 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2025,plain,
( ~ spl48_214
| spl48_250 ),
inference(avatar_split_clause,[],[f360,f2022,f1778]) ).
fof(f2050,definition,
( spl48_255
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl48_255])],[avatar_definition]) ).
fof(f2052,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl48_255 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2053,plain,
( ~ spl48_215
| spl48_255 ),
inference(avatar_split_clause,[],[f353,f2050,f1782]) ).
fof(f2065,plain,
( ~ spl48_216
| spl48_234
| ~ spl48_233 ),
inference(avatar_split_clause,[],[f341,f1869,f1873,f1786]) ).
fof(f2083,plain,
op2(e23,e22) != h4(e10),
inference(forward_demodulation,[],[f264,f616]) ).
fof(f2086,plain,
op2(e22,e23) != h3(e10),
inference(forward_demodulation,[],[f270,f612]) ).
fof(f2088,plain,
op2(e22,e20) != h3(e10),
inference(forward_demodulation,[],[f274,f612]) ).
fof(f2089,plain,
e20 != op2(e21,e23),
inference(forward_demodulation,[],[f277,f601]) ).
fof(f2090,plain,
e20 != op2(e21,e22),
inference(forward_demodulation,[],[f278,f601]) ).
fof(f2091,plain,
e20 != op2(e21,e20),
inference(forward_demodulation,[],[f281,f601]) ).
fof(f2094,plain,
op2(e20,e21) != h1(e10),
inference(forward_demodulation,[],[f287,f604]) ).
fof(f2101,plain,
e20 != op2(e23,e21),
inference(forward_demodulation,[],[f301,f601]) ).
fof(f2103,plain,
e20 != op2(e20,e21),
inference(forward_demodulation,[],[f305,f601]) ).
fof(f2107,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[],[f229,f598]) ).
fof(f2108,plain,
e10 != op1(e11,e12),
inference(forward_demodulation,[],[f230,f598]) ).
fof(f2109,plain,
e10 != op1(e11,e10),
inference(forward_demodulation,[],[f233,f598]) ).
fof(f2110,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[],[f253,f598]) ).
fof(f2112,plain,
e10 != op1(e10,e11),
inference(forward_demodulation,[],[f257,f598]) ).
fof(f2119,plain,
( e20 = h4(e10)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f190,f616]) ).
fof(f2120,plain,
( e20 = h4(e10)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f191,f616]) ).
fof(f2122,plain,
( e23 = h3(e10)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f193,f612]) ).
fof(f2123,plain,
( e22 = h3(e10)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f194,f612]) ).
fof(f2124,plain,
( e22 = h3(e10)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f195,f612]) ).
fof(f2125,plain,
( e21 = h3(e10)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f196,f612]) ).
fof(f2127,plain,
( e20 = h3(e10)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f198,f612]) ).
fof(f2129,plain,
( e20 = e23
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[],[f200,f601]) ).
fof(f2133,plain,
( e20 = e21
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f204,f601]) ).
fof(f2137,plain,
( e22 = h1(e10)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f210,f604]) ).
fof(f2138,plain,
( e22 = h1(e10)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f211,f604]) ).
fof(f2139,plain,
( e21 = h1(e10)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f212,f604]) ).
fof(f2141,plain,
( e20 = h1(e10)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f214,f604]) ).
fof(f2145,definition,
( spl48_261
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl48_261])],[avatar_definition]) ).
fof(f2147,plain,
( e21 = op2(e23,e22)
| ~ spl48_261 ),
inference(avatar_component_clause,[],[f2145]) ).
fof(f2149,definition,
( spl48_262
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl48_262])],[avatar_definition]) ).
fof(f2151,plain,
( e20 = op2(e23,e22)
| ~ spl48_262 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f2154,definition,
( spl48_263
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl48_263])],[avatar_definition]) ).
fof(f2156,plain,
( e22 = op2(e23,e21)
| ~ spl48_263 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2158,definition,
( spl48_264
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl48_264])],[avatar_definition]) ).
fof(f2161,plain,
( spl48_152
| spl48_263
| spl48_166
| spl48_264 ),
inference(avatar_split_clause,[],[f170,f2158,f1521,f2154,f1430]) ).
fof(f2163,definition,
( spl48_265
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl48_265])],[avatar_definition]) ).
fof(f2165,plain,
( e22 = op2(e23,e20)
| ~ spl48_265 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2167,definition,
( spl48_266
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl48_266])],[avatar_definition]) ).
fof(f2169,plain,
( e21 = op2(e23,e20)
| ~ spl48_266 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2172,definition,
( spl48_267
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl48_267])],[avatar_definition]) ).
fof(f2174,plain,
( e21 = op2(e22,e23)
| ~ spl48_267 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2176,definition,
( spl48_268
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl48_268])],[avatar_definition]) ).
fof(f2178,plain,
( e20 = op2(e22,e23)
| ~ spl48_268 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f2179,plain,
( spl48_148
| spl48_158
| spl48_267
| spl48_268 ),
inference(avatar_split_clause,[],[f172,f2176,f2172,f1466,f1407]) ).
fof(f2180,plain,
( e20 = h3(e10)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f173,f612]) ).
fof(f2182,definition,
( spl48_269
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl48_269])],[avatar_definition]) ).
fof(f2184,plain,
( e23 = op2(e22,e21)
| ~ spl48_269 ),
inference(avatar_component_clause,[],[f2182]) ).
fof(f2191,definition,
( spl48_271
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl48_271])],[avatar_definition]) ).
fof(f2193,plain,
( e23 = op2(e22,e20)
| ~ spl48_271 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2195,definition,
( spl48_272
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl48_272])],[avatar_definition]) ).
fof(f2197,plain,
( e21 = op2(e22,e20)
| ~ spl48_272 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2200,definition,
( spl48_273
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl48_273])],[avatar_definition]) ).
fof(f2202,plain,
( e22 = op2(e21,e23)
| ~ spl48_273 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2204,definition,
( spl48_274
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl48_274])],[avatar_definition]) ).
fof(f2207,plain,
( spl48_151
| spl48_273
| spl48_167
| spl48_274 ),
inference(avatar_split_clause,[],[f176,f2204,f1526,f2200,f1425]) ).
fof(f2213,definition,
( spl48_276
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl48_276])],[avatar_definition]) ).
fof(f2222,definition,
( spl48_278
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl48_278])],[avatar_definition]) ).
fof(f2224,plain,
( e22 = op2(e21,e20)
| ~ spl48_278 ),
inference(avatar_component_clause,[],[f2222]) ).
fof(f2227,definition,
( spl48_279
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl48_279])],[avatar_definition]) ).
fof(f2229,plain,
( e22 = op2(e20,e23)
| ~ spl48_279 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f2240,definition,
( spl48_282
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl48_282])],[avatar_definition]) ).
fof(f2242,plain,
( e21 = op2(e20,e22)
| ~ spl48_282 ),
inference(avatar_component_clause,[],[f2240]) ).
fof(f2245,definition,
( spl48_283
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl48_283])],[avatar_definition]) ).
fof(f2249,definition,
( spl48_284
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl48_284])],[avatar_definition]) ).
fof(f2251,plain,
( e22 = op2(e20,e21)
| ~ spl48_284 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2252,plain,
( spl48_283
| spl48_284
| spl48_172
| spl48_182 ),
inference(avatar_split_clause,[],[f182,f1622,f1563,f2249,f2245]) ).
fof(f2253,plain,
( e20 = h1(e10)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f183,f604]) ).
fof(f2257,definition,
( spl48_285
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl48_285])],[avatar_definition]) ).
fof(f2259,plain,
( e12 = op1(e11,e13)
| ~ spl48_285 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f2261,definition,
( spl48_286
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl48_286])],[avatar_definition]) ).
fof(f2263,plain,
( e12 = op1(e10,e13)
| ~ spl48_286 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2266,definition,
( spl48_287
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl48_287])],[avatar_definition]) ).
fof(f2268,plain,
( e12 = op1(e13,e11)
| ~ spl48_287 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2270,definition,
( spl48_288
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl48_288])],[avatar_definition]) ).
fof(f2272,plain,
( e12 = op1(e13,e10)
| ~ spl48_288 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2275,definition,
( spl48_289
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl48_289])],[avatar_definition]) ).
fof(f2277,plain,
( e11 = op1(e12,e13)
| ~ spl48_289 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2279,definition,
( spl48_290
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl48_290])],[avatar_definition]) ).
fof(f2281,plain,
( e11 = op1(e10,e13)
| ~ spl48_290 ),
inference(avatar_component_clause,[],[f2279]) ).
fof(f2284,definition,
( spl48_291
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl48_291])],[avatar_definition]) ).
fof(f2286,plain,
( e11 = op1(e13,e12)
| ~ spl48_291 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f2288,definition,
( spl48_292
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl48_292])],[avatar_definition]) ).
fof(f2290,plain,
( e11 = op1(e13,e10)
| ~ spl48_292 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f2291,plain,
( spl48_228
| spl48_291
| spl48_241
| spl48_292 ),
inference(avatar_split_clause,[],[f141,f2288,f1945,f2284,f1843]) ).
fof(f2293,definition,
( spl48_293
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl48_293])],[avatar_definition]) ).
fof(f2295,plain,
( e10 = op1(e12,e13)
| ~ spl48_293 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2297,definition,
( spl48_294
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl48_294])],[avatar_definition]) ).
fof(f2300,plain,
( spl48_218
| spl48_293
| spl48_294
| spl48_208 ),
inference(avatar_split_clause,[],[f142,f1748,f2297,f2293,f1794]) ).
fof(f2302,definition,
( spl48_295
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl48_295])],[avatar_definition]) ).
fof(f2304,plain,
( e10 = op1(e13,e12)
| ~ spl48_295 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f2306,definition,
( spl48_296
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl48_296])],[avatar_definition]) ).
fof(f2309,plain,
( spl48_218
| spl48_295
| spl48_296
| spl48_247 ),
inference(avatar_split_clause,[],[f143,f1993,f2306,f2302,f1794]) ).
fof(f2311,definition,
( spl48_297
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl48_297])],[avatar_definition]) ).
fof(f2313,plain,
( e13 = op1(e11,e12)
| ~ spl48_297 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2320,definition,
( spl48_299
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl48_299])],[avatar_definition]) ).
fof(f2322,plain,
( e13 = op1(e12,e11)
| ~ spl48_299 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f2324,definition,
( spl48_300
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl48_300])],[avatar_definition]) ).
fof(f2326,plain,
( e13 = op1(e12,e10)
| ~ spl48_300 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2327,plain,
( spl48_235
| spl48_230
| spl48_299
| spl48_300 ),
inference(avatar_split_clause,[],[f145,f2324,f2320,f1855,f1879]) ).
fof(f2328,plain,
( spl48_238
| spl48_232
| spl48_239
| spl48_240 ),
inference(avatar_split_clause,[],[f146,f1935,f1925,f1864,f1909]) ).
fof(f2329,plain,
( spl48_231
| spl48_232
| spl48_234
| spl48_219 ),
inference(avatar_split_clause,[],[f147,f1799,f1873,f1864,f1859]) ).
fof(f2336,definition,
( spl48_302
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl48_302])],[avatar_definition]) ).
fof(f2338,plain,
( e11 = op1(e12,e10)
| ~ spl48_302 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2339,plain,
( spl48_289
| spl48_233
| spl48_243
| spl48_302 ),
inference(avatar_split_clause,[],[f149,f2336,f1959,f1869,f2275]) ).
fof(f2341,definition,
( spl48_303
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl48_303])],[avatar_definition]) ).
fof(f2344,plain,
( spl48_295
| spl48_220
| spl48_303
| spl48_210 ),
inference(avatar_split_clause,[],[f150,f1757,f2341,f1803,f2302]) ).
fof(f2350,plain,
( e10 = e13
| e13 = op1(e10,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(forward_demodulation,[],[f152,f598]) ).
fof(f2351,plain,
( e10 = e13
| e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(forward_demodulation,[],[f153,f598]) ).
fof(f2352,plain,
( e10 = e12
| e12 = op1(e10,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(forward_demodulation,[],[f154,f598]) ).
fof(f2357,definition,
( spl48_305
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl48_305])],[avatar_definition]) ).
fof(f2359,plain,
( e13 = op1(e11,e10)
| ~ spl48_305 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2362,definition,
( spl48_306
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl48_306])],[avatar_definition]) ).
fof(f2364,plain,
( e13 = op1(e10,e11)
| ~ spl48_306 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2367,definition,
( spl48_307
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl48_307])],[avatar_definition]) ).
fof(f2369,plain,
( e12 = op1(e11,e10)
| ~ spl48_307 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2372,definition,
( spl48_308
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl48_308])],[avatar_definition]) ).
fof(f2374,plain,
( e12 = op1(e10,e11)
| ~ spl48_308 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f2375,plain,
( spl48_286
| spl48_240
| spl48_308
| spl48_209 ),
inference(avatar_split_clause,[],[f163,f1753,f2372,f1935,f2261]) ).
fof(f2378,plain,
( spl48_247
| spl48_248
| spl48_249
| spl48_213 ),
inference(avatar_split_clause,[],[f166,f1771,f2013,f2003,f1993]) ).
fof(f2382,plain,
( spl48_229
| spl48_287
| spl48_241
| spl48_296 ),
inference(avatar_split_clause,[],[f122,f2306,f1945,f2266,f1847]) ).
fof(f2385,plain,
( spl48_230
| spl48_232
| spl48_233
| spl48_220 ),
inference(avatar_split_clause,[],[f125,f1803,f1869,f1864,f1855]) ).
fof(f2388,plain,
( spl48_236
| spl48_285
| spl48_242
| spl48_294 ),
inference(avatar_split_clause,[],[f128,f2297,f1950,f2257,f1889]) ).
fof(f2389,plain,
( spl48_297
| spl48_239
| spl48_244
| spl48_303 ),
inference(avatar_split_clause,[],[f129,f2341,f1964,f1925,f2311]) ).
fof(f2390,plain,
( spl48_305
| spl48_307
| spl48_246
| spl48_249 ),
inference(avatar_split_clause,[],[f131,f2013,f1984,f2367,f2357]) ).
fof(f2391,plain,
( spl48_237
| spl48_286
| spl48_290
| spl48_208 ),
inference(avatar_split_clause,[],[f132,f1748,f2279,f2261,f1899]) ).
fof(f2393,plain,
( spl48_306
| spl48_308
| spl48_245
| spl48_212 ),
inference(avatar_split_clause,[],[f134,f1766,f1979,f2372,f2362]) ).
fof(f2397,plain,
h2(e12) = op2(h2(e13),e20),
inference(forward_demodulation,[],[f1344,f601]) ).
fof(f2399,plain,
e23 = h2(e13),
inference(backward_demodulation,[],[f1345,f1350]) ).
fof(f2400,plain,
e22 = op2(e23,h2(e10)),
inference(forward_demodulation,[],[f1351,f1350]) ).
fof(f2401,plain,
spl48_69,
inference(avatar_split_clause,[],[f1352,f998]) ).
fof(f2402,plain,
e12 = op1(e13,e10),
inference(forward_demodulation,[],[f1353,f598]) ).
fof(f2403,plain,
spl48_207,
inference(avatar_split_clause,[],[f1354,f1744]) ).
fof(f2405,definition,
( spl48_309
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl48_309])],[avatar_definition]) ).
fof(f2409,definition,
( spl48_310
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl48_310])],[avatar_definition]) ).
fof(f2413,definition,
( spl48_311
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl48_311])],[avatar_definition]) ).
fof(f2421,plain,
( spl48_309
| spl48_147
| spl48_150
| spl48_153
| spl48_156
| spl48_310
| spl48_159
| spl48_162
| spl48_165
| spl48_168
| spl48_311
| spl48_171
| spl48_174
| spl48_177
| spl48_180
| spl48_92 ),
inference(avatar_split_clause,[],[f1360,f1094,f1613,f1595,f1577,f1559,f2413,f1535,f1517,f1499,f1481,f2409,f1457,f1439,f1421,f1403,f2405]) ).
fof(f2422,plain,
( spl48_141
| spl48_142
| spl48_143
| spl48_155
| ~ spl48_23 ),
inference(avatar_split_clause,[],[f1361,f806,f1448,f1373,f1369,f1365]) ).
fof(f2430,plain,
( ~ spl48_309
| ~ spl48_96 ),
inference(avatar_split_clause,[],[f1392,f1114,f2405]) ).
fof(f2435,plain,
( ~ spl48_309
| spl48_96 ),
inference(avatar_split_clause,[],[f1397,f1114,f2405]) ).
fof(f2437,plain,
( ~ spl48_147
| ~ spl48_112 ),
inference(avatar_split_clause,[],[f1399,f1194,f1403]) ).
fof(f2440,plain,
( ~ spl48_150
| ~ spl48_173 ),
inference(avatar_split_clause,[],[f1419,f1568,f1421]) ).
fof(f2450,plain,
( ~ spl48_310
| ~ spl48_112 ),
inference(avatar_split_clause,[],[f1471,f1194,f2409]) ).
fof(f2454,plain,
( ~ spl48_310
| spl48_112 ),
inference(avatar_split_clause,[],[f1475,f1194,f2409]) ).
fof(f2455,plain,
( ~ spl48_159
| ~ spl48_173 ),
inference(avatar_split_clause,[],[f1479,f1568,f1481]) ).
fof(f2469,plain,
~ sP28,
inference(forward_subsumption_resolution,[],[f1552,f323]) ).
fof(f2471,plain,
( ~ spl48_171
| ~ spl48_176
| ~ spl48_132 ),
inference(avatar_split_clause,[],[f1554,f1294,f1586,f1559]) ).
fof(f2479,plain,
( ~ spl48_177
| ~ spl48_158
| ~ spl48_108 ),
inference(avatar_split_clause,[],[f1590,f1174,f1466,f1595]) ).
fof(f2480,plain,
( ~ spl48_177
| ~ spl48_112 ),
inference(avatar_split_clause,[],[f1591,f1194,f1595]) ).
fof(f2483,plain,
( ~ spl48_180
| ~ spl48_173 ),
inference(avatar_split_clause,[],[f1611,f1568,f1613]) ).
fof(f2487,definition,
( spl48_313
<=> e23 = op2(e23,h4(e10)) ),
introduced(definition,[new_symbols(definition,[spl48_313])],[avatar_definition]) ).
fof(f2489,plain,
( e23 = op2(e23,h4(e10))
| ~ spl48_313 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2490,plain,
( ~ spl48_141
| spl48_313 ),
inference(avatar_split_clause,[],[f1629,f2487,f1365]) ).
fof(f2499,plain,
( ~ spl48_143
| spl48_161
| ~ spl48_116 ),
inference(avatar_split_clause,[],[f1665,f1214,f1490,f1373]) ).
fof(f2503,plain,
( ~ spl48_194
| ~ spl48_246 ),
inference(avatar_split_clause,[],[f1887,f1984,f1692]) ).
fof(f2504,plain,
( ~ spl48_198
| ~ spl48_246 ),
inference(avatar_split_clause,[],[f1923,f1984,f1708]) ).
fof(f2506,plain,
~ sP10,
inference(forward_subsumption_resolution,[],[f1972,f317]) ).
fof(f2508,plain,
( ~ spl48_206
| ~ spl48_246 ),
inference(avatar_split_clause,[],[f2011,f1984,f1740]) ).
fof(f2510,plain,
~ spl48_274,
inference(avatar_split_clause,[],[f2089,f2204]) ).
fof(f2511,plain,
~ spl48_276,
inference(avatar_split_clause,[],[f2090,f2213]) ).
fof(f2512,plain,
~ spl48_181,
inference(avatar_split_clause,[],[f2091,f1617]) ).
fof(f2513,plain,
~ spl48_264,
inference(avatar_split_clause,[],[f2101,f2158]) ).
fof(f2515,plain,
~ spl48_182,
inference(avatar_split_clause,[],[f2103,f1622]) ).
fof(f2516,plain,
~ spl48_294,
inference(avatar_split_clause,[],[f2107,f2297]) ).
fof(f2517,plain,
~ spl48_303,
inference(avatar_split_clause,[],[f2108,f2341]) ).
fof(f2518,plain,
~ spl48_249,
inference(avatar_split_clause,[],[f2109,f2013]) ).
fof(f2519,plain,
~ spl48_296,
inference(avatar_split_clause,[],[f2110,f2306]) ).
fof(f2521,plain,
~ spl48_212,
inference(avatar_split_clause,[],[f2112,f1766]) ).
fof(f2528,plain,
( spl48_268
| spl48_274
| spl48_176
| spl48_23 ),
inference(avatar_split_clause,[],[f2119,f806,f1586,f2204,f2176]) ).
fof(f2529,plain,
( spl48_262
| spl48_264
| spl48_175
| spl48_23 ),
inference(avatar_split_clause,[],[f2120,f806,f1581,f2158,f2149]) ).
fof(f2531,plain,
( spl48_148
| spl48_269
| spl48_271
| spl48_108 ),
inference(avatar_split_clause,[],[f2122,f1174,f2191,f2182,f1407]) ).
fof(f2532,plain,
( spl48_157
| spl48_160
| spl48_163
| spl48_112 ),
inference(avatar_split_clause,[],[f2123,f1194,f1503,f1485,f1461]) ).
fof(f2533,plain,
( spl48_158
| spl48_161
| spl48_164
| spl48_112 ),
inference(avatar_split_clause,[],[f2124,f1194,f1508,f1490,f1466]) ).
fof(f2534,plain,
( spl48_261
| spl48_170
| spl48_282
| spl48_116 ),
inference(avatar_split_clause,[],[f2125,f1214,f2240,f1544,f2145]) ).
fof(f2536,plain,
( spl48_262
| spl48_276
| spl48_179
| spl48_46 ),
inference(avatar_split_clause,[],[f2127,f902,f1604,f2213,f2149]) ).
fof(f2538,plain,
( e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(forward_subsumption_resolution,[],[f2129,f321]) ).
fof(f2542,plain,
( e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_subsumption_resolution,[],[f2133,f323]) ).
fof(f2546,plain,
( spl48_265
| spl48_164
| spl48_278
| spl48_136 ),
inference(avatar_split_clause,[],[f2137,f1314,f2222,f1508,f2163]) ).
fof(f2547,plain,
( spl48_279
| spl48_163
| spl48_284
| spl48_136 ),
inference(avatar_split_clause,[],[f2138,f1314,f2249,f1503,f2227]) ).
fof(f2548,plain,
( spl48_266
| spl48_272
| spl48_173
| spl48_140 ),
inference(avatar_split_clause,[],[f2139,f1334,f1568,f2195,f2167]) ).
fof(f2550,plain,
( spl48_175
| spl48_178
| spl48_181
| spl48_92 ),
inference(avatar_split_clause,[],[f2141,f1094,f1617,f1599,f1581]) ).
fof(f2553,plain,
( e21 = h3(e10)
| e20 = h3(e10)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f2180,f612]) ).
fof(f2554,plain,
( e21 = h1(e10)
| e20 = h1(e10)
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f2253,f604]) ).
fof(f2555,plain,
( e13 = op1(e10,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(forward_subsumption_resolution,[],[f2350,f315]) ).
fof(f2556,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(forward_subsumption_resolution,[],[f2351,f315]) ).
fof(f2557,plain,
( e12 = op1(e10,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(forward_subsumption_resolution,[],[f2352,f316]) ).
fof(f2561,plain,
spl48_117,
inference(avatar_split_clause,[],[f2399,f1219]) ).
fof(f2562,plain,
spl48_288,
inference(avatar_split_clause,[],[f2402,f2270]) ).
fof(f2563,plain,
~ spl48_311,
inference(avatar_split_clause,[],[f2469,f2413]) ).
fof(f2564,plain,
~ spl48_202,
inference(avatar_split_clause,[],[f2506,f1724]) ).
fof(f2565,plain,
( spl48_152
| spl48_269
| spl48_283 ),
inference(avatar_split_clause,[],[f2538,f2245,f2182,f1430]) ).
fof(f2569,plain,
( spl48_166
| spl48_169
| spl48_172 ),
inference(avatar_split_clause,[],[f2542,f1563,f1539,f1521]) ).
fof(f2572,plain,
( e22 = h3(e10)
| e21 = h3(e10)
| e20 = h3(e10)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f2553,f612]) ).
fof(f2573,plain,
( e22 = h1(e10)
| e21 = h1(e10)
| e20 = h1(e10)
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f2554,f604]) ).
fof(f2574,plain,
( spl48_229
| spl48_299
| spl48_306 ),
inference(avatar_split_clause,[],[f2555,f2362,f2320,f1847]) ).
fof(f2575,plain,
( spl48_236
| spl48_297
| spl48_305 ),
inference(avatar_split_clause,[],[f2556,f2357,f2311,f1889]) ).
fof(f2576,plain,
( spl48_287
| spl48_234
| spl48_308 ),
inference(avatar_split_clause,[],[f2557,f2372,f1873,f2266]) ).
fof(f2581,plain,
( e23 = h3(e10)
| e22 = h3(e10)
| e21 = h3(e10)
| e20 = h3(e10) ),
inference(forward_demodulation,[],[f2572,f612]) ).
fof(f2582,plain,
( e23 = h1(e10)
| e22 = h1(e10)
| e21 = h1(e10)
| e20 = h1(e10) ),
inference(forward_demodulation,[],[f2573,f604]) ).
fof(f2584,plain,
( spl48_46
| spl48_116
| spl48_112
| spl48_108 ),
inference(avatar_split_clause,[],[f2581,f1174,f1194,f1214,f902]) ).
fof(f2585,plain,
( spl48_92
| spl48_140
| spl48_136
| spl48_132 ),
inference(avatar_split_clause,[],[f2582,f1294,f1314,f1334,f1094]) ).
fof(f2586,plain,
( e20 = op2(e23,e23)
| ~ spl48_23 ),
inference(backward_demodulation,[],[f616,f807]) ).
fof(f2588,plain,
( e20 != op2(e23,e22)
| ~ spl48_23 ),
inference(backward_demodulation,[],[f2083,f807]) ).
fof(f2604,plain,
( e22 = op2(e23,e20)
| ~ spl48_69 ),
inference(backward_demodulation,[],[f2400,f999]) ).
fof(f2605,plain,
( op2(e20,e20) = e23
| ~ spl48_69 ),
inference(backward_demodulation,[],[f1350,f999]) ).
fof(f2606,plain,
( e20 = op2(e20,e20)
| ~ spl48_92 ),
inference(backward_demodulation,[],[f604,f1095]) ).
fof(f2620,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl48_51
| ~ spl48_117 ),
inference(backward_demodulation,[],[f925,f1220]) ).
fof(f2621,plain,
( op2(e23,e20) = h2(e12)
| ~ spl48_117 ),
inference(backward_demodulation,[],[f2397,f1220]) ).
fof(f2626,plain,
( e23 != op2(e22,e23)
| ~ spl48_151 ),
inference(backward_demodulation,[],[f290,f1427]) ).
fof(f2630,plain,
( e23 != op2(e22,e21)
| ~ spl48_152 ),
inference(backward_demodulation,[],[f300,f1432]) ).
fof(f2639,plain,
( e22 != op2(e23,e20)
| ~ spl48_157 ),
inference(backward_demodulation,[],[f268,f1463]) ).
fof(f2644,plain,
( e22 != op2(e20,e21)
| ~ spl48_161 ),
inference(backward_demodulation,[],[f304,f1492]) ).
fof(f2649,plain,
( e21 = e23
| ~ spl48_152
| ~ spl48_166 ),
inference(backward_demodulation,[],[f1432,f1523]) ).
fof(f2659,plain,
( e13 != op1(e11,e10)
| ~ spl48_207 ),
inference(backward_demodulation,[],[f263,f1745]) ).
fof(f2662,plain,
( e13 != op1(e10,e11)
| ~ spl48_207 ),
inference(backward_demodulation,[],[f239,f1745]) ).
fof(f2664,plain,
( e13 != op1(e10,e13)
| ~ spl48_207 ),
inference(backward_demodulation,[],[f237,f1745]) ).
fof(f2669,plain,
( e10 != op1(e10,e12)
| ~ spl48_208 ),
inference(backward_demodulation,[],[f234,f1749]) ).
fof(f2671,plain,
( e12 != op1(e13,e10)
| ~ spl48_219 ),
inference(backward_demodulation,[],[f258,f1801]) ).
fof(f2681,plain,
( e10 = op1(e10,e13)
| ~ spl48_207
| ~ spl48_224 ),
inference(forward_demodulation,[],[f1826,f1745]) ).
fof(f2700,plain,
( e12 != op1(e10,e11)
| ~ spl48_234 ),
inference(backward_demodulation,[],[f256,f1874]) ).
fof(f2706,plain,
( e12 != op1(e13,e10)
| ~ spl48_238 ),
inference(backward_demodulation,[],[f220,f1911]) ).
fof(f2711,plain,
( e11 = e13
| ~ spl48_229
| ~ spl48_241 ),
inference(backward_demodulation,[],[f1848,f1947]) ).
fof(f2721,plain,
( e10 = e12
| ~ spl48_247
| ~ spl48_288 ),
inference(forward_demodulation,[],[f2272,f1995]) ).
fof(f2741,plain,
( e20 = e22
| ~ spl48_69
| ~ spl48_175 ),
inference(forward_demodulation,[],[f2604,f1583]) ).
fof(f2750,plain,
( e20 = e23
| ~ spl48_69
| ~ spl48_92 ),
inference(backward_demodulation,[],[f2605,f2606]) ).
fof(f2790,plain,
( $false
| ~ spl48_152
| ~ spl48_166 ),
inference(forward_subsumption_resolution,[],[f2649,f319]) ).
fof(f2791,plain,
( ~ spl48_152
| ~ spl48_166 ),
inference(avatar_contradiction_clause,[],[f2790]) ).
fof(f2849,plain,
( $false
| ~ spl48_229
| ~ spl48_241 ),
inference(forward_subsumption_resolution,[],[f2711,f313]) ).
fof(f2850,plain,
( ~ spl48_229
| ~ spl48_241 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2854,plain,
( $false
| ~ spl48_247
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f2721,f316]) ).
fof(f2855,plain,
( ~ spl48_247
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2859,plain,
( $false
| ~ spl48_69
| ~ spl48_175 ),
inference(forward_subsumption_resolution,[],[f2741,f322]) ).
fof(f2860,plain,
( ~ spl48_69
| ~ spl48_175 ),
inference(avatar_contradiction_clause,[],[f2859]) ).
fof(f2862,plain,
( $false
| ~ spl48_69
| ~ spl48_92 ),
inference(forward_subsumption_resolution,[],[f2750,f321]) ).
fof(f2863,plain,
( ~ spl48_69
| ~ spl48_92 ),
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2890,plain,
( e10 = e11
| ~ spl48_291
| ~ spl48_295 ),
inference(backward_demodulation,[],[f2286,f2304]) ).
fof(f2892,plain,
( e12 = e13
| ~ spl48_234
| ~ spl48_299 ),
inference(forward_demodulation,[],[f2322,f1874]) ).
fof(f2893,plain,
( e11 = e12
| ~ spl48_245
| ~ spl48_308 ),
inference(forward_demodulation,[],[f2374,f1981]) ).
fof(f2894,plain,
( e12 = e13
| ~ spl48_217
| ~ spl48_288 ),
inference(backward_demodulation,[],[f1792,f2272]) ).
fof(f2902,plain,
( $false
| ~ spl48_208
| ~ spl48_210 ),
inference(forward_subsumption_resolution,[],[f2669,f1758]) ).
fof(f2903,plain,
( ~ spl48_208
| ~ spl48_210 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2906,plain,
( e10 != op1(e10,e12)
| ~ spl48_295 ),
inference(forward_demodulation,[],[f249,f2304]) ).
fof(f2910,plain,
( e11 != op1(e11,e10)
| ~ spl48_242 ),
inference(forward_demodulation,[],[f231,f1952]) ).
fof(f2916,plain,
( e11 != op1(e10,e11)
| ~ spl48_241 ),
inference(forward_demodulation,[],[f255,f1947]) ).
fof(f2936,plain,
( e22 = h2(e12)
| ~ spl48_117
| ~ spl48_265 ),
inference(forward_demodulation,[],[f2621,f2165]) ).
fof(f2938,plain,
( $false
| ~ spl48_157
| ~ spl48_265 ),
inference(forward_subsumption_resolution,[],[f2639,f2165]) ).
fof(f2939,plain,
( ~ spl48_157
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f2938]) ).
fof(f2959,plain,
( e21 != op2(e21,e20)
| ~ spl48_170 ),
inference(forward_demodulation,[],[f280,f1546]) ).
fof(f2966,plain,
( e20 != op2(e20,e22)
| ~ spl48_176 ),
inference(forward_demodulation,[],[f282,f1588]) ).
fof(f2970,plain,
( op2(e20,e20) = e22
| ~ spl48_136 ),
inference(forward_demodulation,[],[f604,f1315]) ).
fof(f2983,plain,
( e20 != h3(e10)
| ~ spl48_178 ),
inference(forward_demodulation,[],[f2088,f1601]) ).
fof(f2999,plain,
( $false
| ~ spl48_291
| ~ spl48_295 ),
inference(forward_subsumption_resolution,[],[f2890,f317]) ).
fof(f3000,plain,
( ~ spl48_291
| ~ spl48_295 ),
inference(avatar_contradiction_clause,[],[f2999]) ).
fof(f3003,plain,
( $false
| ~ spl48_234
| ~ spl48_299 ),
inference(forward_subsumption_resolution,[],[f2892,f312]) ).
fof(f3004,plain,
( ~ spl48_234
| ~ spl48_299 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3005,plain,
( $false
| ~ spl48_245
| ~ spl48_308 ),
inference(forward_subsumption_resolution,[],[f2893,f314]) ).
fof(f3006,plain,
( ~ spl48_245
| ~ spl48_308 ),
inference(avatar_contradiction_clause,[],[f3005]) ).
fof(f3007,plain,
( $false
| ~ spl48_217
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f2894,f312]) ).
fof(f3008,plain,
( ~ spl48_217
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f3007]) ).
fof(f3011,plain,
( $false
| ~ spl48_210
| ~ spl48_295 ),
inference(forward_subsumption_resolution,[],[f2906,f1758]) ).
fof(f3012,plain,
( ~ spl48_210
| ~ spl48_295 ),
inference(avatar_contradiction_clause,[],[f3011]) ).
fof(f3021,plain,
( $false
| ~ spl48_241
| ~ spl48_245 ),
inference(forward_subsumption_resolution,[],[f2916,f1981]) ).
fof(f3022,plain,
( ~ spl48_241
| ~ spl48_245 ),
inference(avatar_contradiction_clause,[],[f3021]) ).
fof(f3036,plain,
( spl48_122
| ~ spl48_117
| ~ spl48_265 ),
inference(avatar_split_clause,[],[f2936,f2163,f1219,f1244]) ).
fof(f3054,plain,
( $false
| ~ spl48_176
| ~ spl48_179 ),
inference(forward_subsumption_resolution,[],[f2966,f1606]) ).
fof(f3055,plain,
( ~ spl48_176
| ~ spl48_179 ),
inference(avatar_contradiction_clause,[],[f3054]) ).
fof(f3056,plain,
( e22 = e23
| ~ spl48_69
| ~ spl48_136 ),
inference(backward_demodulation,[],[f2605,f2970]) ).
fof(f3079,plain,
( $false
| ~ spl48_69
| ~ spl48_136 ),
inference(forward_subsumption_resolution,[],[f3056,f318]) ).
fof(f3080,plain,
( ~ spl48_69
| ~ spl48_136 ),
inference(avatar_contradiction_clause,[],[f3079]) ).
fof(f3089,plain,
( e10 = e13
| ~ spl48_227
| ~ spl48_295 ),
inference(forward_demodulation,[],[f1839,f2304]) ).
fof(f3091,plain,
( e11 = e13
| ~ spl48_235
| ~ spl48_289 ),
inference(forward_demodulation,[],[f1881,f2277]) ).
fof(f3093,plain,
( e11 = e12
| ~ spl48_234
| ~ spl48_243 ),
inference(backward_demodulation,[],[f1874,f1961]) ).
fof(f3099,plain,
( e20 = e21
| ~ spl48_178
| ~ spl48_272 ),
inference(forward_demodulation,[],[f2197,f1601]) ).
fof(f3101,plain,
( e21 = e22
| ~ spl48_173
| ~ spl48_278 ),
inference(forward_demodulation,[],[f2224,f1570]) ).
fof(f3104,plain,
( e20 = e21
| ~ spl48_179
| ~ spl48_282 ),
inference(forward_demodulation,[],[f2242,f1606]) ).
fof(f3114,plain,
( e22 != op2(e20,e23)
| ~ spl48_158 ),
inference(forward_demodulation,[],[f292,f1468]) ).
fof(f3119,plain,
( e21 = e22
| ~ spl48_69
| ~ spl48_266 ),
inference(forward_demodulation,[],[f2604,f2169]) ).
fof(f3129,plain,
( $false
| ~ spl48_207
| ~ spl48_306 ),
inference(forward_subsumption_resolution,[],[f2662,f2364]) ).
fof(f3130,plain,
( ~ spl48_207
| ~ spl48_306 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3139,plain,
( e12 != op1(e11,e12)
| ~ spl48_285 ),
inference(forward_demodulation,[],[f228,f2259]) ).
fof(f3180,plain,
( e22 != op2(e23,e20)
| ~ spl48_263 ),
inference(forward_demodulation,[],[f269,f2156]) ).
fof(f3182,plain,
( e22 != op2(e20,e23)
| ~ spl48_273 ),
inference(forward_demodulation,[],[f293,f2202]) ).
fof(f3193,plain,
( op2(e23,e23) = h1(e13)
| ~ spl48_132 ),
inference(backward_demodulation,[],[f1348,f1295]) ).
fof(f3202,plain,
( $false
| ~ spl48_46
| ~ spl48_178 ),
inference(forward_subsumption_resolution,[],[f2983,f903]) ).
fof(f3203,plain,
( ~ spl48_46
| ~ spl48_178 ),
inference(avatar_contradiction_clause,[],[f3202]) ).
fof(f3207,plain,
( $false
| ~ spl48_227
| ~ spl48_295 ),
inference(forward_subsumption_resolution,[],[f3089,f315]) ).
fof(f3208,plain,
( ~ spl48_227
| ~ spl48_295 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3209,plain,
( $false
| ~ spl48_235
| ~ spl48_289 ),
inference(forward_subsumption_resolution,[],[f3091,f313]) ).
fof(f3210,plain,
( ~ spl48_235
| ~ spl48_289 ),
inference(avatar_contradiction_clause,[],[f3209]) ).
fof(f3211,plain,
( $false
| ~ spl48_234
| ~ spl48_243 ),
inference(forward_subsumption_resolution,[],[f3093,f314]) ).
fof(f3212,plain,
( ~ spl48_234
| ~ spl48_243 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3215,plain,
( $false
| ~ spl48_178
| ~ spl48_272 ),
inference(forward_subsumption_resolution,[],[f3099,f323]) ).
fof(f3216,plain,
( ~ spl48_178
| ~ spl48_272 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3217,plain,
( $false
| ~ spl48_173
| ~ spl48_278 ),
inference(forward_subsumption_resolution,[],[f3101,f320]) ).
fof(f3218,plain,
( ~ spl48_173
| ~ spl48_278 ),
inference(avatar_contradiction_clause,[],[f3217]) ).
fof(f3221,plain,
( $false
| ~ spl48_179
| ~ spl48_282 ),
inference(forward_subsumption_resolution,[],[f3104,f323]) ).
fof(f3222,plain,
( ~ spl48_179
| ~ spl48_282 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
fof(f3229,plain,
( $false
| ~ spl48_69
| ~ spl48_266 ),
inference(forward_subsumption_resolution,[],[f3119,f320]) ).
fof(f3230,plain,
( ~ spl48_69
| ~ spl48_266 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3278,plain,
( e20 = h1(e13)
| ~ spl48_23
| ~ spl48_132 ),
inference(forward_demodulation,[],[f3193,f2586]) ).
fof(f3286,plain,
( spl48_73
| ~ spl48_23
| ~ spl48_132 ),
inference(avatar_split_clause,[],[f3278,f1294,f806,f1015]) ).
fof(f3296,plain,
( ~ spl48_148
| ~ spl48_151 ),
inference(avatar_split_clause,[],[f2626,f1425,f1407]) ).
fof(f3300,plain,
( e20 = e22
| ~ spl48_163
| ~ spl48_179 ),
inference(forward_demodulation,[],[f1505,f1606]) ).
fof(f3302,plain,
( e20 = e22
| ~ spl48_164
| ~ spl48_178 ),
inference(forward_demodulation,[],[f1510,f1601]) ).
fof(f3307,plain,
( ~ spl48_173
| ~ spl48_170 ),
inference(avatar_split_clause,[],[f2959,f1544,f1568]) ).
fof(f3330,plain,
( e20 = e23
| ~ spl48_178
| ~ spl48_271 ),
inference(forward_demodulation,[],[f2193,f1601]) ).
fof(f3339,plain,
( e23 = op2(e23,e20)
| ~ spl48_23
| ~ spl48_313 ),
inference(forward_demodulation,[],[f2489,f807]) ).
fof(f3350,plain,
( e12 = e13
| ~ spl48_231
| ~ spl48_235 ),
inference(forward_demodulation,[],[f1881,f1860]) ).
fof(f3372,plain,
( $false
| ~ spl48_263
| ~ spl48_265 ),
inference(forward_subsumption_resolution,[],[f3180,f2165]) ).
fof(f3373,plain,
( ~ spl48_263
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
fof(f3381,plain,
( e11 != op1(e11,e10)
| ~ spl48_244 ),
inference(forward_demodulation,[],[f232,f1966]) ).
fof(f3385,plain,
( e11 != op1(e10,e11)
| ~ spl48_243 ),
inference(forward_demodulation,[],[f256,f1961]) ).
fof(f3401,plain,
( e20 != op2(e22,e23)
| ~ spl48_178 ),
inference(forward_demodulation,[],[f273,f1601]) ).
fof(f3410,plain,
( ~ spl48_262
| ~ spl48_23 ),
inference(avatar_split_clause,[],[f2588,f806,f2149]) ).
fof(f3416,plain,
( op2(e20,e20) = e21
| ~ spl48_140 ),
inference(forward_demodulation,[],[f604,f1335]) ).
fof(f3435,plain,
( $false
| ~ spl48_163
| ~ spl48_179 ),
inference(forward_subsumption_resolution,[],[f3300,f322]) ).
fof(f3436,plain,
( ~ spl48_163
| ~ spl48_179 ),
inference(avatar_contradiction_clause,[],[f3435]) ).
fof(f3437,plain,
( $false
| ~ spl48_164
| ~ spl48_178 ),
inference(forward_subsumption_resolution,[],[f3302,f322]) ).
fof(f3438,plain,
( ~ spl48_164
| ~ spl48_178 ),
inference(avatar_contradiction_clause,[],[f3437]) ).
fof(f3446,plain,
( $false
| ~ spl48_178
| ~ spl48_271 ),
inference(forward_subsumption_resolution,[],[f3330,f321]) ).
fof(f3447,plain,
( ~ spl48_178
| ~ spl48_271 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3452,plain,
( e22 = e23
| ~ spl48_23
| ~ spl48_265
| ~ spl48_313 ),
inference(forward_demodulation,[],[f3339,f2165]) ).
fof(f3458,plain,
( $false
| ~ spl48_231
| ~ spl48_235 ),
inference(forward_subsumption_resolution,[],[f3350,f312]) ).
fof(f3459,plain,
( ~ spl48_231
| ~ spl48_235 ),
inference(avatar_contradiction_clause,[],[f3458]) ).
fof(f3474,plain,
( $false
| ~ spl48_244
| ~ spl48_246 ),
inference(forward_subsumption_resolution,[],[f3381,f1986]) ).
fof(f3475,plain,
( ~ spl48_244
| ~ spl48_246 ),
inference(avatar_contradiction_clause,[],[f3474]) ).
fof(f3502,plain,
( e21 = e23
| ~ spl48_69
| ~ spl48_140 ),
inference(backward_demodulation,[],[f2605,f3416]) ).
fof(f3510,plain,
( $false
| ~ spl48_23
| ~ spl48_265
| ~ spl48_313 ),
inference(forward_subsumption_resolution,[],[f3452,f318]) ).
fof(f3511,plain,
( ~ spl48_23
| ~ spl48_265
| ~ spl48_313 ),
inference(avatar_contradiction_clause,[],[f3510]) ).
fof(f3515,plain,
( $false
| ~ spl48_69
| ~ spl48_140 ),
inference(forward_subsumption_resolution,[],[f3502,f319]) ).
fof(f3516,plain,
( ~ spl48_69
| ~ spl48_140 ),
inference(avatar_contradiction_clause,[],[f3515]) ).
fof(f3529,plain,
( ~ spl48_284
| ~ spl48_161 ),
inference(avatar_split_clause,[],[f2644,f1490,f2249]) ).
fof(f3533,plain,
( e21 = e22
| ~ spl48_161
| ~ spl48_169 ),
inference(backward_demodulation,[],[f1492,f1541]) ).
fof(f3557,plain,
( $false
| ~ spl48_238
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f2706,f2272]) ).
fof(f3558,plain,
( ~ spl48_238
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f3557]) ).
fof(f3572,plain,
( ~ spl48_279
| ~ spl48_273 ),
inference(avatar_split_clause,[],[f3182,f2200,f2227]) ).
fof(f3585,plain,
( e11 = e12
| ~ spl48_288
| ~ spl48_292 ),
inference(backward_demodulation,[],[f2272,f2290]) ).
fof(f3588,plain,
( e10 = e13
| ~ spl48_248
| ~ spl48_300 ),
inference(forward_demodulation,[],[f2326,f2005]) ).
fof(f3626,plain,
( e21 != op2(e20,e21)
| ~ spl48_166 ),
inference(forward_demodulation,[],[f303,f1523]) ).
fof(f3640,plain,
( e10 != op1(e12,e10)
| ~ spl48_220 ),
inference(forward_demodulation,[],[f226,f1804]) ).
fof(f3647,plain,
( e23 != op2(e20,e21)
| ~ spl48_132 ),
inference(forward_demodulation,[],[f2094,f1295]) ).
fof(f3656,plain,
( e22 != op2(e21,e22)
| ~ spl48_273 ),
inference(forward_demodulation,[],[f276,f2202]) ).
fof(f3662,plain,
( op2(e23,e23) = h1(e13)
| ~ spl48_132 ),
inference(forward_demodulation,[],[f1348,f1295]) ).
fof(f3670,plain,
( e23 != op2(e22,e23)
| ~ spl48_108 ),
inference(forward_demodulation,[],[f2086,f1175]) ).
fof(f3682,plain,
( $false
| ~ spl48_161
| ~ spl48_169 ),
inference(forward_subsumption_resolution,[],[f3533,f320]) ).
fof(f3683,plain,
( ~ spl48_161
| ~ spl48_169 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3697,plain,
( $false
| ~ spl48_288
| ~ spl48_292 ),
inference(forward_subsumption_resolution,[],[f3585,f314]) ).
fof(f3698,plain,
( ~ spl48_288
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f3697]) ).
fof(f3699,plain,
( $false
| ~ spl48_248
| ~ spl48_300 ),
inference(forward_subsumption_resolution,[],[f3588,f315]) ).
fof(f3700,plain,
( ~ spl48_248
| ~ spl48_300 ),
inference(avatar_contradiction_clause,[],[f3699]) ).
fof(f3718,plain,
( $false
| ~ spl48_220
| ~ spl48_248 ),
inference(forward_subsumption_resolution,[],[f3640,f2005]) ).
fof(f3719,plain,
( ~ spl48_220
| ~ spl48_248 ),
inference(avatar_contradiction_clause,[],[f3718]) ).
fof(f3728,plain,
( $false
| ~ spl48_160
| ~ spl48_273 ),
inference(forward_subsumption_resolution,[],[f3656,f1487]) ).
fof(f3729,plain,
( ~ spl48_160
| ~ spl48_273 ),
inference(avatar_contradiction_clause,[],[f3728]) ).
fof(f3734,plain,
( e20 = op2(e23,e23)
| ~ spl48_73
| ~ spl48_132 ),
inference(forward_demodulation,[],[f3662,f1016]) ).
fof(f3735,plain,
( $false
| ~ spl48_108
| ~ spl48_148 ),
inference(forward_subsumption_resolution,[],[f3670,f1409]) ).
fof(f3736,plain,
( ~ spl48_108
| ~ spl48_148 ),
inference(avatar_contradiction_clause,[],[f3735]) ).
fof(f3758,plain,
( e10 = e13
| ~ spl48_207
| ~ spl48_213 ),
inference(backward_demodulation,[],[f1745,f1772]) ).
fof(f3759,plain,
( e10 = e11
| ~ spl48_218
| ~ spl48_228 ),
inference(backward_demodulation,[],[f1844,f1795]) ).
fof(f3797,plain,
( e13 != op1(e13,e11)
| ~ spl48_227 ),
inference(forward_demodulation,[],[f218,f1839]) ).
fof(f3807,plain,
( e12 != op1(e11,e10)
| ~ spl48_288 ),
inference(forward_demodulation,[],[f259,f2272]) ).
fof(f3829,plain,
( e21 != op2(e21,e20)
| ~ spl48_167 ),
inference(forward_demodulation,[],[f279,f1528]) ).
fof(f3865,plain,
( $false
| ~ spl48_207
| ~ spl48_213 ),
inference(forward_subsumption_resolution,[],[f3758,f315]) ).
fof(f3866,plain,
( ~ spl48_207
| ~ spl48_213 ),
inference(avatar_contradiction_clause,[],[f3865]) ).
fof(f3867,plain,
( $false
| ~ spl48_218
| ~ spl48_228 ),
inference(forward_subsumption_resolution,[],[f3759,f317]) ).
fof(f3868,plain,
( ~ spl48_218
| ~ spl48_228 ),
inference(avatar_contradiction_clause,[],[f3867]) ).
fof(f3880,plain,
( $false
| ~ spl48_288
| ~ spl48_307 ),
inference(forward_subsumption_resolution,[],[f3807,f2369]) ).
fof(f3881,plain,
( ~ spl48_288
| ~ spl48_307 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3890,plain,
( $false
| ~ spl48_167
| ~ spl48_173 ),
inference(forward_subsumption_resolution,[],[f3829,f1570]) ).
fof(f3891,plain,
( ~ spl48_167
| ~ spl48_173 ),
inference(avatar_contradiction_clause,[],[f3890]) ).
fof(f3938,plain,
( ~ spl48_246
| ~ spl48_242 ),
inference(avatar_split_clause,[],[f2910,f1950,f1984]) ).
fof(f3942,plain,
( e10 = e11
| ~ spl48_248
| ~ spl48_302 ),
inference(backward_demodulation,[],[f2338,f2005]) ).
fof(f3948,plain,
( e20 = e23
| ~ spl48_149
| ~ spl48_262 ),
inference(backward_demodulation,[],[f1414,f2151]) ).
fof(f3950,plain,
( e22 = e23
| ~ spl48_161
| ~ spl48_269 ),
inference(forward_demodulation,[],[f2184,f1492]) ).
fof(f3958,plain,
( $false
| ~ spl48_239
| ~ spl48_285 ),
inference(forward_subsumption_resolution,[],[f3139,f1927]) ).
fof(f3959,plain,
( ~ spl48_239
| ~ spl48_285 ),
inference(avatar_contradiction_clause,[],[f3958]) ).
fof(f3967,plain,
( $false
| ~ spl48_207
| ~ spl48_305 ),
inference(forward_subsumption_resolution,[],[f2659,f2359]) ).
fof(f3968,plain,
( ~ spl48_207
| ~ spl48_305 ),
inference(avatar_contradiction_clause,[],[f3967]) ).
fof(f3994,plain,
( e10 != op1(e12,e10)
| ~ spl48_293 ),
inference(forward_demodulation,[],[f225,f2295]) ).
fof(f4004,plain,
( op2(e23,e23) != h2(e10)
| spl48_51
| ~ spl48_117
| ~ spl48_218 ),
inference(forward_demodulation,[],[f2620,f1795]) ).
fof(f4006,plain,
( e13 = op1(e13,e10)
| ~ spl48_218
| ~ spl48_250 ),
inference(forward_demodulation,[],[f2024,f1795]) ).
fof(f4014,plain,
( e11 != op1(e12,e12)
| ~ spl48_291 ),
inference(forward_demodulation,[],[f246,f2286]) ).
fof(f4018,plain,
( e13 != op1(e11,e12)
| ~ spl48_230 ),
inference(forward_demodulation,[],[f248,f1856]) ).
fof(f4023,plain,
( e12 = e13
| ~ spl48_207
| ~ spl48_209 ),
inference(forward_demodulation,[],[f1745,f1754]) ).
fof(f4030,plain,
( $false
| ~ spl48_207
| ~ spl48_237 ),
inference(forward_subsumption_resolution,[],[f2664,f1901]) ).
fof(f4031,plain,
( ~ spl48_207
| ~ spl48_237 ),
inference(avatar_contradiction_clause,[],[f4030]) ).
fof(f4032,plain,
( spl48_208
| ~ spl48_207
| ~ spl48_224 ),
inference(avatar_split_clause,[],[f2681,f1824,f1744,f1748]) ).
fof(f4052,plain,
( $false
| ~ spl48_178
| ~ spl48_268 ),
inference(forward_subsumption_resolution,[],[f3401,f2178]) ).
fof(f4053,plain,
( ~ spl48_178
| ~ spl48_268 ),
inference(avatar_contradiction_clause,[],[f4052]) ).
fof(f4071,plain,
( $false
| ~ spl48_248
| ~ spl48_302 ),
inference(forward_subsumption_resolution,[],[f3942,f317]) ).
fof(f4072,plain,
( ~ spl48_248
| ~ spl48_302 ),
inference(avatar_contradiction_clause,[],[f4071]) ).
fof(f4076,plain,
( $false
| ~ spl48_149
| ~ spl48_262 ),
inference(forward_subsumption_resolution,[],[f3948,f321]) ).
fof(f4077,plain,
( ~ spl48_149
| ~ spl48_262 ),
inference(avatar_contradiction_clause,[],[f4076]) ).
fof(f4078,plain,
( $false
| ~ spl48_161
| ~ spl48_269 ),
inference(forward_subsumption_resolution,[],[f3950,f318]) ).
fof(f4079,plain,
( ~ spl48_161
| ~ spl48_269 ),
inference(avatar_contradiction_clause,[],[f4078]) ).
fof(f4093,plain,
( $false
| ~ spl48_248
| ~ spl48_293 ),
inference(forward_subsumption_resolution,[],[f3994,f2005]) ).
fof(f4094,plain,
( ~ spl48_248
| ~ spl48_293 ),
inference(avatar_contradiction_clause,[],[f4093]) ).
fof(f4102,plain,
( e20 != op2(e23,e23)
| spl48_51
| ~ spl48_69
| ~ spl48_117
| ~ spl48_218 ),
inference(forward_demodulation,[],[f4004,f999]) ).
fof(f4104,plain,
( e12 = e13
| ~ spl48_218
| ~ spl48_250
| ~ spl48_288 ),
inference(forward_demodulation,[],[f4006,f2272]) ).
fof(f4117,plain,
( $false
| ~ spl48_207
| ~ spl48_209 ),
inference(forward_subsumption_resolution,[],[f4023,f312]) ).
fof(f4118,plain,
( ~ spl48_207
| ~ spl48_209 ),
inference(avatar_contradiction_clause,[],[f4117]) ).
fof(f4155,plain,
( $false
| spl48_51
| ~ spl48_69
| ~ spl48_73
| ~ spl48_117
| ~ spl48_132
| ~ spl48_218 ),
inference(forward_subsumption_resolution,[],[f4102,f3734]) ).
fof(f4156,plain,
( spl48_51
| ~ spl48_69
| ~ spl48_73
| ~ spl48_117
| ~ spl48_132
| ~ spl48_218 ),
inference(avatar_contradiction_clause,[],[f4155]) ).
fof(f4158,plain,
( $false
| ~ spl48_218
| ~ spl48_250
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f4104,f312]) ).
fof(f4159,plain,
( ~ spl48_218
| ~ spl48_250
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f4158]) ).
fof(f4177,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl48_55
| ~ spl48_117 ),
inference(forward_demodulation,[],[f941,f1220]) ).
fof(f4181,plain,
( e21 = e23
| ~ spl48_108
| ~ spl48_116 ),
inference(forward_demodulation,[],[f1175,f1215]) ).
fof(f4287,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| spl48_55
| ~ spl48_117
| ~ spl48_122 ),
inference(forward_demodulation,[],[f4177,f1245]) ).
fof(f4290,plain,
( $false
| ~ spl48_108
| ~ spl48_116 ),
inference(forward_subsumption_resolution,[],[f4181,f319]) ).
fof(f4291,plain,
( ~ spl48_108
| ~ spl48_116 ),
inference(avatar_contradiction_clause,[],[f4290]) ).
fof(f4334,plain,
( op2(e22,e23) != h2(e11)
| spl48_55
| ~ spl48_117
| ~ spl48_122
| ~ spl48_289 ),
inference(forward_demodulation,[],[f4287,f2277]) ).
fof(f4344,plain,
( e21 != op2(e22,e23)
| spl48_55
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_289 ),
inference(forward_demodulation,[],[f4334,f1270]) ).
fof(f4346,plain,
( $false
| spl48_55
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_267
| ~ spl48_289 ),
inference(forward_subsumption_resolution,[],[f4344,f2174]) ).
fof(f4347,plain,
( spl48_55
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_267
| ~ spl48_289 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
fof(f4352,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl48_63
| ~ spl48_117 ),
inference(forward_demodulation,[],[f973,f1220]) ).
fof(f4373,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| spl48_63
| ~ spl48_69
| ~ spl48_117 ),
inference(forward_demodulation,[],[f4352,f999]) ).
fof(f4389,plain,
( op2(e20,e23) != h2(e12)
| spl48_63
| ~ spl48_69
| ~ spl48_117
| ~ spl48_286 ),
inference(forward_demodulation,[],[f4373,f2263]) ).
fof(f4395,plain,
( e22 != op2(e20,e23)
| spl48_63
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_286 ),
inference(forward_demodulation,[],[f4389,f1245]) ).
fof(f4398,plain,
( $false
| spl48_63
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_279
| ~ spl48_286 ),
inference(forward_subsumption_resolution,[],[f4395,f2229]) ).
fof(f4399,plain,
( spl48_63
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_279
| ~ spl48_286 ),
inference(avatar_contradiction_clause,[],[f4398]) ).
fof(f4400,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| spl48_52
| ~ spl48_122 ),
inference(forward_demodulation,[],[f929,f1245]) ).
fof(f4404,plain,
( e23 = op2(e22,e22)
| ~ spl48_108 ),
inference(forward_demodulation,[],[f612,f1175]) ).
fof(f4406,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| spl48_52
| ~ spl48_117
| ~ spl48_122 ),
inference(forward_demodulation,[],[f4400,f1220]) ).
fof(f4411,plain,
( op2(e23,e22) != h2(e11)
| spl48_52
| ~ spl48_117
| ~ spl48_122
| ~ spl48_291 ),
inference(forward_demodulation,[],[f4406,f2286]) ).
fof(f4413,plain,
( e21 != op2(e23,e22)
| spl48_52
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_291 ),
inference(forward_demodulation,[],[f4411,f1270]) ).
fof(f4415,plain,
( $false
| spl48_52
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_261
| ~ spl48_291 ),
inference(forward_subsumption_resolution,[],[f4413,f2147]) ).
fof(f4416,plain,
( spl48_52
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_261
| ~ spl48_291 ),
inference(avatar_contradiction_clause,[],[f4415]) ).
fof(f4418,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl48_54
| ~ spl48_69 ),
inference(forward_demodulation,[],[f937,f999]) ).
fof(f4422,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| spl48_54
| ~ spl48_69
| ~ spl48_117 ),
inference(forward_demodulation,[],[f4418,f1220]) ).
fof(f4425,plain,
( op2(e23,e20) != h2(e12)
| spl48_54
| ~ spl48_69
| ~ spl48_117
| ~ spl48_288 ),
inference(forward_demodulation,[],[f4422,f2272]) ).
fof(f4427,plain,
( e22 != op2(e23,e20)
| spl48_54
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_288 ),
inference(forward_demodulation,[],[f4425,f1245]) ).
fof(f4428,plain,
( $false
| spl48_54
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_265
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f4427,f2165]) ).
fof(f4429,plain,
( spl48_54
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_265
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f4428]) ).
fof(f4430,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl48_53
| ~ spl48_127 ),
inference(forward_demodulation,[],[f933,f1270]) ).
fof(f4432,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| spl48_53
| ~ spl48_117
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4430,f1220]) ).
fof(f4434,plain,
( op2(e23,e21) != h2(e13)
| spl48_53
| ~ spl48_117
| ~ spl48_127
| ~ spl48_229 ),
inference(forward_demodulation,[],[f4432,f1848]) ).
fof(f4436,plain,
( e23 != op2(e23,e21)
| spl48_53
| ~ spl48_117
| ~ spl48_127
| ~ spl48_229 ),
inference(forward_demodulation,[],[f4434,f1220]) ).
fof(f4438,plain,
( $false
| spl48_53
| ~ spl48_117
| ~ spl48_127
| ~ spl48_152
| ~ spl48_229 ),
inference(forward_subsumption_resolution,[],[f4436,f1432]) ).
fof(f4439,plain,
( spl48_53
| ~ spl48_117
| ~ spl48_127
| ~ spl48_152
| ~ spl48_229 ),
inference(avatar_contradiction_clause,[],[f4438]) ).
fof(f4441,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl48_57
| ~ spl48_127 ),
inference(forward_demodulation,[],[f949,f1270]) ).
fof(f4443,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| spl48_57
| ~ spl48_122
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4441,f1245]) ).
fof(f4445,plain,
( op2(e22,e21) != h2(e12)
| spl48_57
| ~ spl48_122
| ~ spl48_127
| ~ spl48_234 ),
inference(forward_demodulation,[],[f4443,f1874]) ).
fof(f4447,plain,
( e22 != op2(e22,e21)
| spl48_57
| ~ spl48_122
| ~ spl48_127
| ~ spl48_234 ),
inference(forward_demodulation,[],[f4445,f1245]) ).
fof(f4450,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| spl48_56
| ~ spl48_122 ),
inference(forward_demodulation,[],[f945,f1245]) ).
fof(f4452,plain,
( op2(e22,e22) != h2(e13)
| spl48_56
| ~ spl48_122
| ~ spl48_230 ),
inference(forward_demodulation,[],[f4450,f1856]) ).
fof(f4454,plain,
( e23 != op2(e22,e22)
| spl48_56
| ~ spl48_117
| ~ spl48_122
| ~ spl48_230 ),
inference(forward_demodulation,[],[f4452,f1220]) ).
fof(f4456,plain,
( $false
| spl48_56
| ~ spl48_108
| ~ spl48_117
| ~ spl48_122
| ~ spl48_230 ),
inference(forward_subsumption_resolution,[],[f4454,f4404]) ).
fof(f4457,plain,
( spl48_56
| ~ spl48_108
| ~ spl48_117
| ~ spl48_122
| ~ spl48_230 ),
inference(avatar_contradiction_clause,[],[f4456]) ).
fof(f4460,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl48_59
| ~ spl48_117 ),
inference(forward_demodulation,[],[f957,f1220]) ).
fof(f4462,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| spl48_59
| ~ spl48_117
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4460,f1270]) ).
fof(f4464,plain,
( op2(e21,e23) != h2(e13)
| spl48_59
| ~ spl48_117
| ~ spl48_127
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4462,f1891]) ).
fof(f4465,plain,
( e23 != op2(e21,e23)
| spl48_59
| ~ spl48_117
| ~ spl48_127
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4464,f1220]) ).
fof(f4466,plain,
( $false
| spl48_59
| ~ spl48_117
| ~ spl48_127
| ~ spl48_151
| ~ spl48_236 ),
inference(forward_subsumption_resolution,[],[f4465,f1427]) ).
fof(f4467,plain,
( spl48_59
| ~ spl48_117
| ~ spl48_127
| ~ spl48_151
| ~ spl48_236 ),
inference(avatar_contradiction_clause,[],[f4466]) ).
fof(f4468,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl48_58
| ~ spl48_69 ),
inference(forward_demodulation,[],[f953,f999]) ).
fof(f4470,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| spl48_58
| ~ spl48_69
| ~ spl48_122 ),
inference(forward_demodulation,[],[f4468,f1245]) ).
fof(f4472,plain,
( op2(e22,e20) != h2(e10)
| spl48_58
| ~ spl48_69
| ~ spl48_122
| ~ spl48_248 ),
inference(forward_demodulation,[],[f4470,f2005]) ).
fof(f4474,plain,
( e20 != op2(e22,e20)
| spl48_58
| ~ spl48_69
| ~ spl48_122
| ~ spl48_248 ),
inference(forward_demodulation,[],[f4472,f999]) ).
fof(f4476,plain,
( $false
| spl48_58
| ~ spl48_69
| ~ spl48_122
| ~ spl48_178
| ~ spl48_248 ),
inference(forward_subsumption_resolution,[],[f4474,f1601]) ).
fof(f4477,plain,
( spl48_58
| ~ spl48_69
| ~ spl48_122
| ~ spl48_178
| ~ spl48_248 ),
inference(avatar_contradiction_clause,[],[f4476]) ).
fof(f4479,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| spl48_60
| ~ spl48_122 ),
inference(forward_demodulation,[],[f961,f1245]) ).
fof(f4481,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| spl48_60
| ~ spl48_122
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4479,f1270]) ).
fof(f4483,plain,
( op2(e21,e22) != h2(e12)
| spl48_60
| ~ spl48_122
| ~ spl48_127
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4481,f1927]) ).
fof(f4485,plain,
( e22 != op2(e21,e22)
| spl48_60
| ~ spl48_122
| ~ spl48_127
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4483,f1245]) ).
fof(f4486,plain,
( $false
| spl48_60
| ~ spl48_122
| ~ spl48_127
| ~ spl48_160
| ~ spl48_239 ),
inference(forward_subsumption_resolution,[],[f4485,f1487]) ).
fof(f4487,plain,
( spl48_60
| ~ spl48_122
| ~ spl48_127
| ~ spl48_160
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f4486]) ).
fof(f4489,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl48_62
| ~ spl48_69 ),
inference(forward_demodulation,[],[f969,f999]) ).
fof(f4491,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl48_62
| ~ spl48_69
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4489,f1270]) ).
fof(f4493,plain,
( op2(e21,e20) != h2(e11)
| spl48_62
| ~ spl48_69
| ~ spl48_127
| ~ spl48_246 ),
inference(forward_demodulation,[],[f4491,f1986]) ).
fof(f4495,plain,
( e21 != op2(e21,e20)
| spl48_62
| ~ spl48_69
| ~ spl48_127
| ~ spl48_246 ),
inference(forward_demodulation,[],[f4493,f1270]) ).
fof(f4496,plain,
( $false
| spl48_62
| ~ spl48_69
| ~ spl48_127
| ~ spl48_173
| ~ spl48_246 ),
inference(forward_subsumption_resolution,[],[f4495,f1570]) ).
fof(f4497,plain,
( spl48_62
| ~ spl48_69
| ~ spl48_127
| ~ spl48_173
| ~ spl48_246 ),
inference(avatar_contradiction_clause,[],[f4496]) ).
fof(f4498,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| spl48_61
| ~ spl48_127 ),
inference(forward_demodulation,[],[f965,f1270]) ).
fof(f4500,plain,
( op2(e21,e21) != h2(e10)
| spl48_61
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4498,f598]) ).
fof(f4502,plain,
( e20 != op2(e21,e21)
| spl48_61
| ~ spl48_69
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4500,f999]) ).
fof(f4504,plain,
( $false
| spl48_61
| ~ spl48_69
| ~ spl48_127 ),
inference(forward_subsumption_resolution,[],[f4502,f601]) ).
fof(f4505,plain,
( spl48_61
| ~ spl48_69
| ~ spl48_127 ),
inference(avatar_contradiction_clause,[],[f4504]) ).
fof(f4508,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| spl48_64
| ~ spl48_122 ),
inference(forward_demodulation,[],[f977,f1245]) ).
fof(f4510,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| spl48_64
| ~ spl48_69
| ~ spl48_122 ),
inference(forward_demodulation,[],[f4508,f999]) ).
fof(f4512,plain,
( op2(e20,e22) != h2(e10)
| spl48_64
| ~ spl48_69
| ~ spl48_122
| ~ spl48_210 ),
inference(forward_demodulation,[],[f4510,f1758]) ).
fof(f4513,plain,
( e20 != op2(e20,e22)
| spl48_64
| ~ spl48_69
| ~ spl48_122
| ~ spl48_210 ),
inference(forward_demodulation,[],[f4512,f999]) ).
fof(f4514,plain,
( $false
| spl48_64
| ~ spl48_69
| ~ spl48_122
| ~ spl48_179
| ~ spl48_210 ),
inference(forward_subsumption_resolution,[],[f4513,f1606]) ).
fof(f4515,plain,
( spl48_64
| ~ spl48_69
| ~ spl48_122
| ~ spl48_179
| ~ spl48_210 ),
inference(avatar_contradiction_clause,[],[f4514]) ).
fof(f4517,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl48_66
| ~ spl48_69 ),
inference(forward_demodulation,[],[f985,f999]) ).
fof(f4519,plain,
( op2(e20,e20) != h2(e13)
| spl48_66
| ~ spl48_69
| ~ spl48_207 ),
inference(forward_demodulation,[],[f4517,f1745]) ).
fof(f4521,plain,
( op2(e20,e20) != e23
| spl48_66
| ~ spl48_69
| ~ spl48_117
| ~ spl48_207 ),
inference(forward_demodulation,[],[f4519,f1220]) ).
fof(f4523,plain,
( $false
| spl48_66
| ~ spl48_69
| ~ spl48_117
| ~ spl48_207 ),
inference(forward_subsumption_resolution,[],[f4521,f2605]) ).
fof(f4524,plain,
( spl48_66
| ~ spl48_69
| ~ spl48_117
| ~ spl48_207 ),
inference(avatar_contradiction_clause,[],[f4523]) ).
fof(f4525,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| spl48_65
| ~ spl48_127 ),
inference(forward_demodulation,[],[f981,f1270]) ).
fof(f4527,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl48_65
| ~ spl48_69
| ~ spl48_127 ),
inference(forward_demodulation,[],[f4525,f999]) ).
fof(f4529,plain,
( op2(e20,e21) != h2(e11)
| spl48_65
| ~ spl48_69
| ~ spl48_127
| ~ spl48_245 ),
inference(forward_demodulation,[],[f4527,f1981]) ).
fof(f4531,plain,
( e21 != op2(e20,e21)
| spl48_65
| ~ spl48_69
| ~ spl48_127
| ~ spl48_245 ),
inference(forward_demodulation,[],[f4529,f1270]) ).
fof(f4532,plain,
( $false
| spl48_65
| ~ spl48_69
| ~ spl48_127
| ~ spl48_172
| ~ spl48_245 ),
inference(forward_subsumption_resolution,[],[f4531,f1565]) ).
fof(f4533,plain,
( spl48_65
| ~ spl48_69
| ~ spl48_127
| ~ spl48_172
| ~ spl48_245 ),
inference(avatar_contradiction_clause,[],[f4532]) ).
fof(f4538,plain,
( e10 = e12
| ~ spl48_210
| ~ spl48_240 ),
inference(forward_demodulation,[],[f1937,f1758]) ).
fof(f4548,plain,
( e11 != op1(e10,e11)
| ~ spl48_290 ),
inference(forward_demodulation,[],[f235,f2281]) ).
fof(f4562,plain,
( $false
| ~ spl48_230
| ~ spl48_297 ),
inference(forward_subsumption_resolution,[],[f4018,f2313]) ).
fof(f4563,plain,
( ~ spl48_230
| ~ spl48_297 ),
inference(avatar_contradiction_clause,[],[f4562]) ).
fof(f4576,plain,
( $false
| ~ spl48_210
| ~ spl48_240 ),
inference(forward_subsumption_resolution,[],[f4538,f316]) ).
fof(f4577,plain,
( ~ spl48_210
| ~ spl48_240 ),
inference(avatar_contradiction_clause,[],[f4576]) ).
fof(f4580,plain,
( $false
| ~ spl48_245
| ~ spl48_290 ),
inference(forward_subsumption_resolution,[],[f4548,f1981]) ).
fof(f4581,plain,
( ~ spl48_245
| ~ spl48_290 ),
inference(avatar_contradiction_clause,[],[f4580]) ).
fof(f4607,plain,
( $false
| ~ spl48_219
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f2671,f2272]) ).
fof(f4608,plain,
( ~ spl48_219
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f4607]) ).
fof(f4621,plain,
( ~ spl48_245
| ~ spl48_243 ),
inference(avatar_split_clause,[],[f3385,f1959,f1979]) ).
fof(f4721,plain,
( ~ spl48_161
| spl48_57
| ~ spl48_122
| ~ spl48_127
| ~ spl48_234 ),
inference(avatar_split_clause,[],[f4447,f1873,f1269,f1244,f947,f1490]) ).
fof(f4725,plain,
( e22 = e23
| ~ spl48_108
| ~ spl48_112 ),
inference(backward_demodulation,[],[f1175,f1195]) ).
fof(f4728,plain,
( ~ spl48_308
| ~ spl48_234 ),
inference(avatar_split_clause,[],[f2700,f1873,f2372]) ).
fof(f4741,plain,
( e21 = e22
| ~ spl48_172
| ~ spl48_284 ),
inference(forward_demodulation,[],[f2251,f1565]) ).
fof(f4784,plain,
( $false
| ~ spl48_108
| ~ spl48_112 ),
inference(forward_subsumption_resolution,[],[f4725,f318]) ).
fof(f4785,plain,
( ~ spl48_108
| ~ spl48_112 ),
inference(avatar_contradiction_clause,[],[f4784]) ).
fof(f4788,plain,
( $false
| ~ spl48_172
| ~ spl48_284 ),
inference(forward_subsumption_resolution,[],[f4741,f320]) ).
fof(f4789,plain,
( ~ spl48_172
| ~ spl48_284 ),
inference(avatar_contradiction_clause,[],[f4788]) ).
fof(f4821,plain,
( ~ spl48_279
| ~ spl48_158 ),
inference(avatar_split_clause,[],[f3114,f1466,f2227]) ).
fof(f4825,plain,
( ~ spl48_172
| ~ spl48_166 ),
inference(avatar_split_clause,[],[f3626,f1521,f1563]) ).
fof(f4826,plain,
( e23 = op2(e22,e22)
| ~ spl48_158
| ~ spl48_186 ),
inference(forward_demodulation,[],[f1651,f1468]) ).
fof(f4876,plain,
( ~ spl48_283
| ~ spl48_132 ),
inference(avatar_split_clause,[],[f3647,f1294,f2245]) ).
fof(f4898,plain,
( e21 = op2(e22,e22)
| ~ spl48_116 ),
inference(forward_demodulation,[],[f612,f1215]) ).
fof(f4979,plain,
( e22 = e23
| ~ spl48_155
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1450,f2165]) ).
fof(f4988,plain,
( e21 = e23
| ~ spl48_116
| ~ spl48_158
| ~ spl48_186 ),
inference(forward_demodulation,[],[f4826,f4898]) ).
fof(f5021,plain,
( $false
| ~ spl48_155
| ~ spl48_265 ),
inference(forward_subsumption_resolution,[],[f4979,f318]) ).
fof(f5022,plain,
( ~ spl48_155
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f5021]) ).
fof(f5026,plain,
( $false
| ~ spl48_116
| ~ spl48_158
| ~ spl48_186 ),
inference(forward_subsumption_resolution,[],[f4988,f319]) ).
fof(f5027,plain,
( ~ spl48_116
| ~ spl48_158
| ~ spl48_186 ),
inference(avatar_contradiction_clause,[],[f5026]) ).
fof(f5115,plain,
( ~ spl48_269
| ~ spl48_152 ),
inference(avatar_split_clause,[],[f2630,f1430,f2182]) ).
fof(f5131,plain,
( ~ spl48_229
| ~ spl48_227 ),
inference(avatar_split_clause,[],[f3797,f1838,f1847]) ).
fof(f5146,plain,
( e12 = op1(e12,e11)
| ~ spl48_233
| ~ spl48_255 ),
inference(forward_demodulation,[],[f2052,f1870]) ).
fof(f5206,plain,
( $false
| ~ spl48_233
| ~ spl48_291 ),
inference(forward_subsumption_resolution,[],[f4014,f1870]) ).
fof(f5207,plain,
( ~ spl48_233
| ~ spl48_291 ),
inference(avatar_contradiction_clause,[],[f5206]) ).
fof(f5217,plain,
( e12 != op1(e13,e10)
| ~ spl48_287 ),
inference(forward_demodulation,[],[f221,f2268]) ).
fof(f5282,plain,
( spl48_234
| ~ spl48_233
| ~ spl48_255 ),
inference(avatar_split_clause,[],[f5146,f2050,f1869,f1873]) ).
fof(f5302,plain,
( $false
| ~ spl48_287
| ~ spl48_288 ),
inference(forward_subsumption_resolution,[],[f5217,f2272]) ).
fof(f5303,plain,
( ~ spl48_287
| ~ spl48_288 ),
inference(avatar_contradiction_clause,[],[f5302]) ).
cnf(s12,plain,
( spl48_47
| spl48_48
| spl48_49
| ~ spl48_51
| ~ spl48_52
| ~ spl48_53
| ~ spl48_54
| ~ spl48_55
| ~ spl48_56
| ~ spl48_57
| ~ spl48_58
| ~ spl48_59
| ~ spl48_60
| ~ spl48_61
| ~ spl48_62
| ~ spl48_63
| ~ spl48_64
| ~ spl48_65
| ~ spl48_66
| ~ spl48_69 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s41,plain,
( ~ spl48_47
| ~ spl48_117 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s46,plain,
( ~ spl48_48
| ~ spl48_122 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s51,plain,
( ~ spl48_49
| ~ spl48_127 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s67,plain,
spl48_127,
inference(sat_conversion,[],[f1346]) ).
cnf(s72,plain,
( ~ spl48_147
| spl48_148 ),
inference(sat_conversion,[],[f1410]) ).
cnf(s73,plain,
( ~ spl48_147
| spl48_149 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s77,plain,
( ~ spl48_153
| spl48_155 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s78,plain,
( ~ spl48_156
| spl48_157 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s83,plain,
( ~ spl48_162
| spl48_164 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s85,plain,
( ~ spl48_165
| spl48_167 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s87,plain,
( ~ spl48_168
| spl48_170 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s88,plain,
( ~ spl48_171
| spl48_172 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s90,plain,
( ~ spl48_174
| spl48_175 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s93,plain,
( ~ spl48_177
| spl48_179 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s99,plain,
( ~ spl48_142
| spl48_186 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s110,plain,
( spl48_192
| spl48_193
| spl48_194
| spl48_195
| spl48_196
| spl48_197
| spl48_198
| spl48_199
| spl48_200
| spl48_201
| spl48_202
| spl48_203
| spl48_204
| spl48_205
| spl48_206
| spl48_213 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s116,plain,
( spl48_214
| spl48_215
| spl48_216
| spl48_224 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s117,plain,
( ~ spl48_192
| ~ spl48_225 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s122,plain,
( ~ spl48_192
| spl48_225 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s124,plain,
( ~ spl48_193
| ~ spl48_232 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s127,plain,
( ~ spl48_193
| spl48_235 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s128,plain,
( ~ spl48_193
| spl48_227 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s136,plain,
( ~ spl48_195
| spl48_217 ),
inference(sat_conversion,[],[f1903]) ).
cnf(s141,plain,
( ~ spl48_196
| spl48_238 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s144,plain,
( ~ spl48_197
| ~ spl48_232 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s148,plain,
( ~ spl48_197
| spl48_232 ),
inference(sat_conversion,[],[f1919]) ).
cnf(s156,plain,
( ~ spl48_199
| spl48_219 ),
inference(sat_conversion,[],[f1939]) ).
cnf(s162,plain,
( ~ spl48_200
| spl48_242 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s168,plain,
( ~ spl48_201
| spl48_244 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s169,plain,
( ~ spl48_203
| ~ spl48_207
| ~ spl48_208 ),
inference(sat_conversion,[],[f1974]) ).
cnf(s173,plain,
( ~ spl48_203
| spl48_245 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s179,plain,
( ~ spl48_204
| spl48_247 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s181,plain,
( ~ spl48_205
| ~ spl48_230
| ~ spl48_231 ),
inference(sat_conversion,[],[f1998]) ).
cnf(s182,plain,
( ~ spl48_205
| ~ spl48_232 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s186,plain,
( ~ spl48_205
| spl48_210 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s191,plain,
( ~ spl48_214
| spl48_250 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s198,plain,
( ~ spl48_215
| spl48_255 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s202,plain,
( ~ spl48_216
| ~ spl48_233
| spl48_234 ),
inference(sat_conversion,[],[f2065]) ).
cnf(s208,plain,
( spl48_152
| spl48_166
| spl48_263
| spl48_264 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s210,plain,
( spl48_148
| spl48_158
| spl48_267
| spl48_268 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s213,plain,
( spl48_151
| spl48_167
| spl48_273
| spl48_274 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s218,plain,
( spl48_172
| spl48_182
| spl48_283
| spl48_284 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s224,plain,
( spl48_228
| spl48_241
| spl48_291
| spl48_292 ),
inference(sat_conversion,[],[f2291]) ).
cnf(s225,plain,
( spl48_208
| spl48_218
| spl48_293
| spl48_294 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s226,plain,
( spl48_218
| spl48_247
| spl48_295
| spl48_296 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s228,plain,
( spl48_230
| spl48_235
| spl48_299
| spl48_300 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s229,plain,
( spl48_232
| spl48_238
| spl48_239
| spl48_240 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s230,plain,
( spl48_219
| spl48_231
| spl48_232
| spl48_234 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s232,plain,
( spl48_233
| spl48_243
| spl48_289
| spl48_302 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s233,plain,
( spl48_210
| spl48_220
| spl48_295
| spl48_303 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s238,plain,
( spl48_209
| spl48_240
| spl48_286
| spl48_308 ),
inference(sat_conversion,[],[f2375]) ).
cnf(s241,plain,
( spl48_213
| spl48_247
| spl48_248
| spl48_249 ),
inference(sat_conversion,[],[f2378]) ).
cnf(s245,plain,
( spl48_229
| spl48_241
| spl48_287
| spl48_296 ),
inference(sat_conversion,[],[f2382]) ).
cnf(s248,plain,
( spl48_220
| spl48_230
| spl48_232
| spl48_233 ),
inference(sat_conversion,[],[f2385]) ).
cnf(s251,plain,
( spl48_236
| spl48_242
| spl48_285
| spl48_294 ),
inference(sat_conversion,[],[f2388]) ).
cnf(s252,plain,
( spl48_239
| spl48_244
| spl48_297
| spl48_303 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s253,plain,
( spl48_246
| spl48_249
| spl48_305
| spl48_307 ),
inference(sat_conversion,[],[f2390]) ).
cnf(s254,plain,
( spl48_208
| spl48_237
| spl48_286
| spl48_290 ),
inference(sat_conversion,[],[f2391]) ).
cnf(s256,plain,
( spl48_212
| spl48_245
| spl48_306
| spl48_308 ),
inference(sat_conversion,[],[f2393]) ).
cnf(s258,plain,
spl48_69,
inference(sat_conversion,[],[f2401]) ).
cnf(s259,plain,
spl48_207,
inference(sat_conversion,[],[f2403]) ).
cnf(s265,plain,
( spl48_92
| spl48_147
| spl48_150
| spl48_153
| spl48_156
| spl48_159
| spl48_162
| spl48_165
| spl48_168
| spl48_171
| spl48_174
| spl48_177
| spl48_180
| spl48_309
| spl48_310
| spl48_311 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s266,plain,
( ~ spl48_23
| spl48_141
| spl48_142
| spl48_143
| spl48_155 ),
inference(sat_conversion,[],[f2422]) ).
cnf(s270,plain,
( ~ spl48_96
| ~ spl48_309 ),
inference(sat_conversion,[],[f2430]) ).
cnf(s275,plain,
( spl48_96
| ~ spl48_309 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s277,plain,
( ~ spl48_112
| ~ spl48_147 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s280,plain,
( ~ spl48_150
| ~ spl48_173 ),
inference(sat_conversion,[],[f2440]) ).
cnf(s290,plain,
( ~ spl48_112
| ~ spl48_310 ),
inference(sat_conversion,[],[f2450]) ).
cnf(s294,plain,
( spl48_112
| ~ spl48_310 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s295,plain,
( ~ spl48_159
| ~ spl48_173 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s309,plain,
( ~ spl48_132
| ~ spl48_171
| ~ spl48_176 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s317,plain,
( ~ spl48_108
| ~ spl48_158
| ~ spl48_177 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s318,plain,
( ~ spl48_112
| ~ spl48_177 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s321,plain,
( ~ spl48_173
| ~ spl48_180 ),
inference(sat_conversion,[],[f2483]) ).
cnf(s324,plain,
( ~ spl48_141
| spl48_313 ),
inference(sat_conversion,[],[f2490]) ).
cnf(s329,plain,
( ~ spl48_116
| ~ spl48_143
| spl48_161 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s333,plain,
( ~ spl48_194
| ~ spl48_246 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s334,plain,
( ~ spl48_198
| ~ spl48_246 ),
inference(sat_conversion,[],[f2504]) ).
cnf(s336,plain,
( ~ spl48_206
| ~ spl48_246 ),
inference(sat_conversion,[],[f2508]) ).
cnf(s338,plain,
~ spl48_274,
inference(sat_conversion,[],[f2510]) ).
cnf(s339,plain,
~ spl48_276,
inference(sat_conversion,[],[f2511]) ).
cnf(s340,plain,
~ spl48_181,
inference(sat_conversion,[],[f2512]) ).
cnf(s341,plain,
~ spl48_264,
inference(sat_conversion,[],[f2513]) ).
cnf(s343,plain,
~ spl48_182,
inference(sat_conversion,[],[f2515]) ).
cnf(s344,plain,
~ spl48_294,
inference(sat_conversion,[],[f2516]) ).
cnf(s345,plain,
~ spl48_303,
inference(sat_conversion,[],[f2517]) ).
cnf(s346,plain,
~ spl48_249,
inference(sat_conversion,[],[f2518]) ).
cnf(s347,plain,
~ spl48_296,
inference(sat_conversion,[],[f2519]) ).
cnf(s349,plain,
~ spl48_212,
inference(sat_conversion,[],[f2521]) ).
cnf(s356,plain,
( spl48_23
| spl48_176
| spl48_268
| spl48_274 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s357,plain,
( spl48_23
| spl48_175
| spl48_262
| spl48_264 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s359,plain,
( spl48_108
| spl48_148
| spl48_269
| spl48_271 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s360,plain,
( spl48_112
| spl48_157
| spl48_160
| spl48_163 ),
inference(sat_conversion,[],[f2532]) ).
cnf(s361,plain,
( spl48_112
| spl48_158
| spl48_161
| spl48_164 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s362,plain,
( spl48_116
| spl48_170
| spl48_261
| spl48_282 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s364,plain,
( spl48_46
| spl48_179
| spl48_262
| spl48_276 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s368,plain,
( spl48_136
| spl48_164
| spl48_265
| spl48_278 ),
inference(sat_conversion,[],[f2546]) ).
cnf(s369,plain,
( spl48_136
| spl48_163
| spl48_279
| spl48_284 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s370,plain,
( spl48_140
| spl48_173
| spl48_266
| spl48_272 ),
inference(sat_conversion,[],[f2548]) ).
cnf(s372,plain,
( spl48_92
| spl48_175
| spl48_178
| spl48_181 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s374,plain,
spl48_117,
inference(sat_conversion,[],[f2561]) ).
cnf(s375,plain,
spl48_288,
inference(sat_conversion,[],[f2562]) ).
cnf(s376,plain,
~ spl48_311,
inference(sat_conversion,[],[f2563]) ).
cnf(s378,plain,
~ spl48_202,
inference(sat_conversion,[],[f2564]) ).
cnf(s380,plain,
( spl48_152
| spl48_269
| spl48_283 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s384,plain,
( spl48_166
| spl48_169
| spl48_172 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s386,plain,
( spl48_229
| spl48_299
| spl48_306 ),
inference(sat_conversion,[],[f2574]) ).
cnf(s387,plain,
( spl48_236
| spl48_297
| spl48_305 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s388,plain,
( spl48_234
| spl48_287
| spl48_308 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s393,plain,
( spl48_46
| spl48_108
| spl48_112
| spl48_116 ),
inference(sat_conversion,[],[f2584]) ).
cnf(s394,plain,
( spl48_92
| spl48_132
| spl48_136
| spl48_140 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s407,plain,
( ~ spl48_152
| ~ spl48_166 ),
inference(sat_conversion,[],[f2791]) ).
cnf(s419,plain,
( ~ spl48_229
| ~ spl48_241 ),
inference(sat_conversion,[],[f2850]) ).
cnf(s421,plain,
( ~ spl48_247
| ~ spl48_288 ),
inference(sat_conversion,[],[f2855]) ).
cnf(s423,plain,
( ~ spl48_69
| ~ spl48_175 ),
inference(sat_conversion,[],[f2860]) ).
cnf(s425,plain,
( ~ spl48_69
| ~ spl48_92 ),
inference(sat_conversion,[],[f2863]) ).
cnf(s430,plain,
( ~ spl48_208
| ~ spl48_210 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s431,plain,
( ~ spl48_157
| ~ spl48_265 ),
inference(sat_conversion,[],[f2939]) ).
cnf(s436,plain,
( ~ spl48_291
| ~ spl48_295 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s438,plain,
( ~ spl48_234
| ~ spl48_299 ),
inference(sat_conversion,[],[f3004]) ).
cnf(s439,plain,
( ~ spl48_245
| ~ spl48_308 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s440,plain,
( ~ spl48_217
| ~ spl48_288 ),
inference(sat_conversion,[],[f3008]) ).
cnf(s442,plain,
( ~ spl48_210
| ~ spl48_295 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s445,plain,
( ~ spl48_241
| ~ spl48_245 ),
inference(sat_conversion,[],[f3022]) ).
cnf(s446,plain,
( ~ spl48_117
| spl48_122
| ~ spl48_265 ),
inference(sat_conversion,[],[f3036]) ).
cnf(s451,plain,
( ~ spl48_176
| ~ spl48_179 ),
inference(sat_conversion,[],[f3055]) ).
cnf(s457,plain,
( ~ spl48_69
| ~ spl48_136 ),
inference(sat_conversion,[],[f3080]) ).
cnf(s462,plain,
( ~ spl48_207
| ~ spl48_306 ),
inference(sat_conversion,[],[f3130]) ).
cnf(s463,plain,
( ~ spl48_46
| ~ spl48_178 ),
inference(sat_conversion,[],[f3203]) ).
cnf(s465,plain,
( ~ spl48_227
| ~ spl48_295 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s466,plain,
( ~ spl48_235
| ~ spl48_289 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s467,plain,
( ~ spl48_234
| ~ spl48_243 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s469,plain,
( ~ spl48_178
| ~ spl48_272 ),
inference(sat_conversion,[],[f3216]) ).
cnf(s470,plain,
( ~ spl48_173
| ~ spl48_278 ),
inference(sat_conversion,[],[f3218]) ).
cnf(s472,plain,
( ~ spl48_179
| ~ spl48_282 ),
inference(sat_conversion,[],[f3222]) ).
cnf(s475,plain,
( ~ spl48_69
| ~ spl48_266 ),
inference(sat_conversion,[],[f3230]) ).
cnf(s486,plain,
( ~ spl48_23
| spl48_73
| ~ spl48_132 ),
inference(sat_conversion,[],[f3286]) ).
cnf(s489,plain,
( ~ spl48_148
| ~ spl48_151 ),
inference(sat_conversion,[],[f3296]) ).
cnf(s494,plain,
( ~ spl48_170
| ~ spl48_173 ),
inference(sat_conversion,[],[f3307]) ).
cnf(s498,plain,
( ~ spl48_263
| ~ spl48_265 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s500,plain,
( ~ spl48_23
| ~ spl48_262 ),
inference(sat_conversion,[],[f3410]) ).
cnf(s503,plain,
( ~ spl48_163
| ~ spl48_179 ),
inference(sat_conversion,[],[f3436]) ).
cnf(s504,plain,
( ~ spl48_164
| ~ spl48_178 ),
inference(sat_conversion,[],[f3438]) ).
cnf(s509,plain,
( ~ spl48_178
| ~ spl48_271 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s513,plain,
( ~ spl48_231
| ~ spl48_235 ),
inference(sat_conversion,[],[f3459]) ).
cnf(s516,plain,
( ~ spl48_244
| ~ spl48_246 ),
inference(sat_conversion,[],[f3475]) ).
cnf(s525,plain,
( ~ spl48_23
| ~ spl48_265
| ~ spl48_313 ),
inference(sat_conversion,[],[f3511]) ).
cnf(s528,plain,
( ~ spl48_69
| ~ spl48_140 ),
inference(sat_conversion,[],[f3516]) ).
cnf(s532,plain,
( ~ spl48_161
| ~ spl48_284 ),
inference(sat_conversion,[],[f3529]) ).
cnf(s539,plain,
( ~ spl48_238
| ~ spl48_288 ),
inference(sat_conversion,[],[f3558]) ).
cnf(s540,plain,
( ~ spl48_273
| ~ spl48_279 ),
inference(sat_conversion,[],[f3572]) ).
cnf(s546,plain,
( ~ spl48_161
| ~ spl48_169 ),
inference(sat_conversion,[],[f3683]) ).
cnf(s552,plain,
( ~ spl48_288
| ~ spl48_292 ),
inference(sat_conversion,[],[f3698]) ).
cnf(s553,plain,
( ~ spl48_248
| ~ spl48_300 ),
inference(sat_conversion,[],[f3700]) ).
cnf(s555,plain,
( ~ spl48_220
| ~ spl48_248 ),
inference(sat_conversion,[],[f3719]) ).
cnf(s557,plain,
( ~ spl48_160
| ~ spl48_273 ),
inference(sat_conversion,[],[f3729]) ).
cnf(s558,plain,
( ~ spl48_108
| ~ spl48_148 ),
inference(sat_conversion,[],[f3736]) ).
cnf(s570,plain,
( ~ spl48_207
| ~ spl48_213 ),
inference(sat_conversion,[],[f3866]) ).
cnf(s571,plain,
( ~ spl48_218
| ~ spl48_228 ),
inference(sat_conversion,[],[f3868]) ).
cnf(s574,plain,
( ~ spl48_288
| ~ spl48_307 ),
inference(sat_conversion,[],[f3881]) ).
cnf(s577,plain,
( ~ spl48_167
| ~ spl48_173 ),
inference(sat_conversion,[],[f3891]) ).
cnf(s584,plain,
( ~ spl48_242
| ~ spl48_246 ),
inference(sat_conversion,[],[f3938]) ).
cnf(s587,plain,
( ~ spl48_239
| ~ spl48_285 ),
inference(sat_conversion,[],[f3959]) ).
cnf(s588,plain,
( ~ spl48_207
| ~ spl48_305 ),
inference(sat_conversion,[],[f3968]) ).
cnf(s589,plain,
( ~ spl48_207
| ~ spl48_237 ),
inference(sat_conversion,[],[f4031]) ).
cnf(s590,plain,
( ~ spl48_207
| spl48_208
| ~ spl48_224 ),
inference(sat_conversion,[],[f4032]) ).
cnf(s592,plain,
( ~ spl48_178
| ~ spl48_268 ),
inference(sat_conversion,[],[f4053]) ).
cnf(s593,plain,
( ~ spl48_248
| ~ spl48_302 ),
inference(sat_conversion,[],[f4072]) ).
cnf(s595,plain,
( ~ spl48_149
| ~ spl48_262 ),
inference(sat_conversion,[],[f4077]) ).
cnf(s596,plain,
( ~ spl48_161
| ~ spl48_269 ),
inference(sat_conversion,[],[f4079]) ).
cnf(s598,plain,
( ~ spl48_248
| ~ spl48_293 ),
inference(sat_conversion,[],[f4094]) ).
cnf(s602,plain,
( ~ spl48_207
| ~ spl48_209 ),
inference(sat_conversion,[],[f4118]) ).
cnf(s608,plain,
( spl48_51
| ~ spl48_69
| ~ spl48_73
| ~ spl48_117
| ~ spl48_132
| ~ spl48_218 ),
inference(sat_conversion,[],[f4156]) ).
cnf(s609,plain,
( ~ spl48_218
| ~ spl48_250
| ~ spl48_288 ),
inference(sat_conversion,[],[f4159]) ).
cnf(s624,plain,
( ~ spl48_108
| ~ spl48_116 ),
inference(sat_conversion,[],[f4291]) ).
cnf(s630,plain,
( spl48_55
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_267
| ~ spl48_289 ),
inference(sat_conversion,[],[f4347]) ).
cnf(s634,plain,
( spl48_63
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_279
| ~ spl48_286 ),
inference(sat_conversion,[],[f4399]) ).
cnf(s636,plain,
( spl48_52
| ~ spl48_117
| ~ spl48_122
| ~ spl48_127
| ~ spl48_261
| ~ spl48_291 ),
inference(sat_conversion,[],[f4416]) ).
cnf(s637,plain,
( spl48_54
| ~ spl48_69
| ~ spl48_117
| ~ spl48_122
| ~ spl48_265
| ~ spl48_288 ),
inference(sat_conversion,[],[f4429]) ).
cnf(s638,plain,
( spl48_53
| ~ spl48_117
| ~ spl48_127
| ~ spl48_152
| ~ spl48_229 ),
inference(sat_conversion,[],[f4439]) ).
cnf(s640,plain,
( spl48_56
| ~ spl48_108
| ~ spl48_117
| ~ spl48_122
| ~ spl48_230 ),
inference(sat_conversion,[],[f4457]) ).
cnf(s641,plain,
( spl48_59
| ~ spl48_117
| ~ spl48_127
| ~ spl48_151
| ~ spl48_236 ),
inference(sat_conversion,[],[f4467]) ).
cnf(s642,plain,
( spl48_58
| ~ spl48_69
| ~ spl48_122
| ~ spl48_178
| ~ spl48_248 ),
inference(sat_conversion,[],[f4477]) ).
cnf(s643,plain,
( spl48_60
| ~ spl48_122
| ~ spl48_127
| ~ spl48_160
| ~ spl48_239 ),
inference(sat_conversion,[],[f4487]) ).
cnf(s644,plain,
( spl48_62
| ~ spl48_69
| ~ spl48_127
| ~ spl48_173
| ~ spl48_246 ),
inference(sat_conversion,[],[f4497]) ).
cnf(s645,plain,
( spl48_61
| ~ spl48_69
| ~ spl48_127 ),
inference(sat_conversion,[],[f4505]) ).
cnf(s646,plain,
( spl48_64
| ~ spl48_69
| ~ spl48_122
| ~ spl48_179
| ~ spl48_210 ),
inference(sat_conversion,[],[f4515]) ).
cnf(s647,plain,
( spl48_66
| ~ spl48_69
| ~ spl48_117
| ~ spl48_207 ),
inference(sat_conversion,[],[f4524]) ).
cnf(s648,plain,
( spl48_65
| ~ spl48_69
| ~ spl48_127
| ~ spl48_172
| ~ spl48_245 ),
inference(sat_conversion,[],[f4533]) ).
cnf(s650,plain,
( ~ spl48_230
| ~ spl48_297 ),
inference(sat_conversion,[],[f4563]) ).
cnf(s654,plain,
( ~ spl48_210
| ~ spl48_240 ),
inference(sat_conversion,[],[f4577]) ).
cnf(s656,plain,
( ~ spl48_245
| ~ spl48_290 ),
inference(sat_conversion,[],[f4581]) ).
cnf(s658,plain,
( ~ spl48_219
| ~ spl48_288 ),
inference(sat_conversion,[],[f4608]) ).
cnf(s660,plain,
( ~ spl48_243
| ~ spl48_245 ),
inference(sat_conversion,[],[f4621]) ).
cnf(s671,plain,
( spl48_57
| ~ spl48_122
| ~ spl48_127
| ~ spl48_161
| ~ spl48_234 ),
inference(sat_conversion,[],[f4721]) ).
cnf(s672,plain,
( ~ spl48_234
| ~ spl48_308 ),
inference(sat_conversion,[],[f4728]) ).
cnf(s677,plain,
( ~ spl48_108
| ~ spl48_112 ),
inference(sat_conversion,[],[f4785]) ).
cnf(s678,plain,
( ~ spl48_172
| ~ spl48_284 ),
inference(sat_conversion,[],[f4789]) ).
cnf(s682,plain,
( ~ spl48_158
| ~ spl48_279 ),
inference(sat_conversion,[],[f4821]) ).
cnf(s683,plain,
( ~ spl48_166
| ~ spl48_172 ),
inference(sat_conversion,[],[f4825]) ).
cnf(s688,plain,
( ~ spl48_132
| ~ spl48_283 ),
inference(sat_conversion,[],[f4876]) ).
cnf(s704,plain,
( ~ spl48_155
| ~ spl48_265 ),
inference(sat_conversion,[],[f5022]) ).
cnf(s706,plain,
( ~ spl48_116
| ~ spl48_158
| ~ spl48_186 ),
inference(sat_conversion,[],[f5027]) ).
cnf(s724,plain,
( ~ spl48_152
| ~ spl48_269 ),
inference(sat_conversion,[],[f5115]) ).
cnf(s729,plain,
( ~ spl48_227
| ~ spl48_229 ),
inference(sat_conversion,[],[f5131]) ).
cnf(s738,plain,
( ~ spl48_233
| ~ spl48_291 ),
inference(sat_conversion,[],[f5207]) ).
cnf(s744,plain,
( ~ spl48_233
| spl48_234
| ~ spl48_255 ),
inference(sat_conversion,[],[f5282]) ).
cnf(s745,plain,
( ~ spl48_287
| ~ spl48_288 ),
inference(sat_conversion,[],[f5303]) ).
cnf(s748,plain,
~ spl48_287,
inference(rat,[],[s745,s375]) ).
cnf(s749,plain,
~ spl48_219,
inference(rat,[],[s658,s375]) ).
cnf(s750,plain,
~ spl48_307,
inference(rat,[],[s574,s375]) ).
cnf(s751,plain,
~ spl48_292,
inference(rat,[],[s552,s375]) ).
cnf(s752,plain,
~ spl48_238,
inference(rat,[],[s539,s375]) ).
cnf(s753,plain,
~ spl48_217,
inference(rat,[],[s440,s375]) ).
cnf(s755,plain,
~ spl48_247,
inference(rat,[],[s421,s375]) ).
cnf(s757,plain,
( spl48_92
| spl48_147
| spl48_150
| spl48_153
| spl48_156
| spl48_159
| spl48_162
| spl48_165
| spl48_168
| spl48_171
| spl48_174
| spl48_177
| spl48_180
| spl48_309
| spl48_310 ),
inference(rat,[],[s265,s376]) ).
cnf(s762,plain,
~ spl48_209,
inference(rat,[],[s602,s259]) ).
cnf(s763,plain,
~ spl48_237,
inference(rat,[],[s589,s259]) ).
cnf(s764,plain,
~ spl48_305,
inference(rat,[],[s588,s259]) ).
cnf(s765,plain,
~ spl48_213,
inference(rat,[],[s570,s259]) ).
cnf(s767,plain,
~ spl48_306,
inference(rat,[],[s462,s259]) ).
cnf(s768,plain,
spl48_66,
inference(rat,[],[s647,s259,s374,s258]) ).
cnf(s769,plain,
~ spl48_140,
inference(rat,[],[s528,s258]) ).
cnf(s770,plain,
~ spl48_266,
inference(rat,[],[s475,s258]) ).
cnf(s771,plain,
~ spl48_136,
inference(rat,[],[s457,s258]) ).
cnf(s772,plain,
~ spl48_92,
inference(rat,[],[s425,s258]) ).
cnf(s773,plain,
~ spl48_175,
inference(rat,[],[s423,s258]) ).
cnf(s774,plain,
spl48_132,
inference(rat,[],[s394,s769,s771,s772]) ).
cnf(s775,plain,
spl48_178,
inference(rat,[],[s372,s340,s772,s773]) ).
cnf(s776,plain,
~ spl48_283,
inference(rat,[],[s688,s774]) ).
cnf(s777,plain,
~ spl48_268,
inference(rat,[],[s592,s775]) ).
cnf(s778,plain,
~ spl48_271,
inference(rat,[],[s509,s775]) ).
cnf(s779,plain,
~ spl48_164,
inference(rat,[],[s504,s775]) ).
cnf(s780,plain,
~ spl48_272,
inference(rat,[],[s469,s775]) ).
cnf(s781,plain,
~ spl48_46,
inference(rat,[],[s463,s775]) ).
cnf(s782,plain,
spl48_173,
inference(rat,[],[s370,s769,s770,s780]) ).
cnf(s783,plain,
~ spl48_167,
inference(rat,[],[s577,s782]) ).
cnf(s785,plain,
~ spl48_170,
inference(rat,[],[s494,s782]) ).
cnf(s786,plain,
~ spl48_278,
inference(rat,[],[s470,s782]) ).
cnf(s787,plain,
~ spl48_180,
inference(rat,[],[s321,s782]) ).
cnf(s788,plain,
~ spl48_159,
inference(rat,[],[s295,s782]) ).
cnf(s789,plain,
~ spl48_150,
inference(rat,[],[s280,s782]) ).
cnf(s790,plain,
spl48_265,
inference(rat,[],[s368,s779,s771,s786]) ).
cnf(s791,plain,
~ spl48_155,
inference(rat,[],[s704,s790]) ).
cnf(s792,plain,
~ spl48_263,
inference(rat,[],[s498,s790]) ).
cnf(s793,plain,
~ spl48_157,
inference(rat,[],[s431,s790]) ).
cnf(s794,plain,
spl48_122,
inference(rat,[],[s446,s374,s790]) ).
cnf(s795,plain,
spl48_54,
inference(rat,[],[s637,s375,s790,s258,s374,s794]) ).
cnf(s796,plain,
( spl48_245
| spl48_308 ),
inference(rat,[],[s256,s767,s349]) ).
cnf(s798,plain,
( spl48_208
| spl48_286
| spl48_290 ),
inference(rat,[],[s254,s763]) ).
cnf(s799,plain,
spl48_246,
inference(rat,[],[s253,s750,s764,s346]) ).
cnf(s800,plain,
~ spl48_242,
inference(rat,[],[s584,s799]) ).
cnf(s801,plain,
~ spl48_244,
inference(rat,[],[s516,s799]) ).
cnf(s802,plain,
~ spl48_206,
inference(rat,[],[s336,s799]) ).
cnf(s803,plain,
~ spl48_198,
inference(rat,[],[s334,s799]) ).
cnf(s804,plain,
~ spl48_194,
inference(rat,[],[s333,s799]) ).
cnf(s805,plain,
( spl48_239
| spl48_297 ),
inference(rat,[],[s252,s345,s801]) ).
cnf(s806,plain,
( spl48_236
| spl48_285 ),
inference(rat,[],[s251,s344,s800]) ).
cnf(s809,plain,
( spl48_229
| spl48_241 ),
inference(rat,[],[s245,s347,s748]) ).
cnf(s813,plain,
spl48_248,
inference(rat,[],[s241,s346,s755,s765]) ).
cnf(s814,plain,
~ spl48_293,
inference(rat,[],[s598,s813]) ).
cnf(s815,plain,
~ spl48_302,
inference(rat,[],[s593,s813]) ).
cnf(s816,plain,
~ spl48_220,
inference(rat,[],[s555,s813]) ).
cnf(s817,plain,
~ spl48_300,
inference(rat,[],[s553,s813]) ).
cnf(s818,plain,
spl48_58,
inference(rat,[],[s642,s794,s775,s258,s813]) ).
cnf(s819,plain,
( spl48_240
| spl48_286
| spl48_308 ),
inference(rat,[],[s238,s762]) ).
cnf(s820,plain,
( spl48_210
| spl48_295 ),
inference(rat,[],[s233,s345,s816]) ).
cnf(s821,plain,
( spl48_233
| spl48_243
| spl48_289 ),
inference(rat,[],[s232,s815]) ).
cnf(s823,plain,
( spl48_231
| spl48_232
| spl48_234 ),
inference(rat,[],[s230,s749]) ).
cnf(s824,plain,
( spl48_232
| spl48_239
| spl48_240 ),
inference(rat,[],[s229,s752]) ).
cnf(s825,plain,
( spl48_230
| spl48_235
| spl48_299 ),
inference(rat,[],[s228,s817]) ).
cnf(s827,plain,
( spl48_218
| spl48_295 ),
inference(rat,[],[s226,s347,s755]) ).
cnf(s828,plain,
( spl48_208
| spl48_218 ),
inference(rat,[],[s225,s344,s814]) ).
cnf(s829,plain,
( spl48_228
| spl48_241
| spl48_291 ),
inference(rat,[],[s224,s751]) ).
cnf(s834,plain,
( spl48_172
| spl48_284 ),
inference(rat,[],[s218,s776,s343]) ).
cnf(s836,plain,
( spl48_151
| spl48_273 ),
inference(rat,[],[s213,s338,s783]) ).
cnf(s838,plain,
( spl48_148
| spl48_158
| spl48_267 ),
inference(rat,[],[s210,s777]) ).
cnf(s839,plain,
( spl48_152
| spl48_166 ),
inference(rat,[],[s208,s341,s792]) ).
cnf(s843,plain,
~ spl48_204,
inference(rat,[],[s179,s755]) ).
cnf(s844,plain,
( ~ spl48_203
| ~ spl48_208 ),
inference(rat,[],[s169,s259]) ).
cnf(s845,plain,
~ spl48_201,
inference(rat,[],[s168,s801]) ).
cnf(s846,plain,
~ spl48_200,
inference(rat,[],[s162,s800]) ).
cnf(s847,plain,
~ spl48_199,
inference(rat,[],[s156,s749]) ).
cnf(s848,plain,
~ spl48_196,
inference(rat,[],[s141,s752]) ).
cnf(s849,plain,
~ spl48_195,
inference(rat,[],[s136,s753]) ).
cnf(s851,plain,
( spl48_192
| spl48_193
| spl48_197
| spl48_203
| spl48_205 ),
inference(rat,[],[s110,s765,s802,s843,s378,s845,s846,s847,s803,s848,s849,s804]) ).
cnf(s854,plain,
~ spl48_174,
inference(rat,[],[s90,s773]) ).
cnf(s855,plain,
~ spl48_168,
inference(rat,[],[s87,s785]) ).
cnf(s856,plain,
~ spl48_165,
inference(rat,[],[s85,s783]) ).
cnf(s857,plain,
~ spl48_162,
inference(rat,[],[s83,s779]) ).
cnf(s858,plain,
~ spl48_156,
inference(rat,[],[s78,s793]) ).
cnf(s859,plain,
~ spl48_153,
inference(rat,[],[s77,s791]) ).
cnf(s860,plain,
spl48_61,
inference(rat,[],[s645,s258,s67]) ).
cnf(s861,plain,
spl48_62,
inference(rat,[],[s644,s799,s782,s258,s67]) ).
cnf(s863,plain,
~ spl48_49,
inference(rat,[],[s51,s67]) ).
cnf(s864,plain,
~ spl48_48,
inference(rat,[],[s46,s794]) ).
cnf(s865,plain,
~ spl48_47,
inference(rat,[],[s41,s374]) ).
cnf(s871,plain,
( ~ spl48_51
| ~ spl48_52
| ~ spl48_53
| ~ spl48_55
| ~ spl48_56
| ~ spl48_57
| ~ spl48_59
| ~ spl48_60
| ~ spl48_63
| ~ spl48_64
| ~ spl48_65 ),
inference(rat,[],[s12,s258,s768,s861,s860,s818,s795,s863,s864,s865]) ).
cnf(s882,plain,
~ spl48_310,
inference(rat,[],[s290,s294]) ).
cnf(s883,plain,
~ spl48_309,
inference(rat,[],[s270,s275]) ).
cnf(s884,plain,
spl48_23,
inference(rat,[],[s757,s93,s73,s309,s451,s595,s356,s357,s772,s789,s858,s788,s857,s856,s855,s859,s854,s882,s787,s883,s774,s777,s338,s773,s341]) ).
cnf(s885,plain,
~ spl48_313,
inference(rat,[],[s525,s790,s884]) ).
cnf(s887,plain,
~ spl48_262,
inference(rat,[],[s500,s884]) ).
cnf(s888,plain,
spl48_73,
inference(rat,[],[s486,s774,s884]) ).
cnf(s891,plain,
~ spl48_141,
inference(rat,[],[s324,s885]) ).
cnf(s893,plain,
spl48_179,
inference(rat,[],[s364,s339,s781,s887]) ).
cnf(s898,plain,
~ spl48_163,
inference(rat,[],[s503,s893]) ).
cnf(s899,plain,
~ spl48_282,
inference(rat,[],[s472,s893]) ).
cnf(s903,plain,
( ~ spl48_172
| spl48_108 ),
inference(rat,[],[s489,s836,s359,s540,s724,s369,s839,s678,s683,s778,s771,s898]) ).
cnf(s904,plain,
( spl48_112
| spl48_108 ),
inference(rat,[],[s266,s99,s329,s706,s393,s361,s532,s834,s903,s891,s884,s791,s781,s779]) ).
cnf(s905,plain,
spl48_108,
inference(rat,[],[s757,s277,s318,s904,s88,s903,s772,s789,s858,s788,s857,s856,s855,s859,s854,s882,s787,s883]) ).
cnf(s906,plain,
~ spl48_112,
inference(rat,[],[s677,s905]) ).
cnf(s907,plain,
~ spl48_116,
inference(rat,[],[s624,s905]) ).
cnf(s908,plain,
~ spl48_148,
inference(rat,[],[s558,s905]) ).
cnf(s909,plain,
spl48_160,
inference(rat,[],[s360,s898,s793,s906]) ).
cnf(s910,plain,
spl48_261,
inference(rat,[],[s362,s899,s785,s907]) ).
cnf(s911,plain,
~ spl48_147,
inference(rat,[],[s72,s908]) ).
cnf(s912,plain,
~ spl48_273,
inference(rat,[],[s557,s909]) ).
cnf(s915,plain,
spl48_151,
inference(rat,[],[s836,s912]) ).
cnf(s919,plain,
~ spl48_197,
inference(rat,[],[s144,s148]) ).
cnf(s920,plain,
~ spl48_192,
inference(rat,[],[s117,s122]) ).
cnf(s922,plain,
spl48_218,
inference(rat,[],[s851,s186,s128,s844,s442,s465,s828,s827,s919,s920]) ).
cnf(s923,plain,
~ spl48_250,
inference(rat,[],[s609,s375,s922]) ).
cnf(s924,plain,
~ spl48_228,
inference(rat,[],[s571,s922]) ).
cnf(s925,plain,
spl48_51,
inference(rat,[],[s608,s888,s774,s374,s258,s922]) ).
cnf(s928,plain,
~ spl48_214,
inference(rat,[],[s191,s923]) ).
cnf(s929,plain,
( ~ spl48_205
| spl48_234 ),
inference(rat,[],[s116,s198,s202,s744,s248,s181,s590,s823,s430,s182,s186,s928,s816,s259]) ).
cnf(s930,plain,
spl48_229,
inference(rat,[],[s823,s513,s124,s127,s851,s929,s173,s445,s438,s809,s386,s919,s920,s767]) ).
cnf(s931,plain,
~ spl48_227,
inference(rat,[],[s729,s930]) ).
cnf(s932,plain,
~ spl48_241,
inference(rat,[],[s419,s930]) ).
cnf(s934,plain,
~ spl48_193,
inference(rat,[],[s128,s931]) ).
cnf(s935,plain,
spl48_291,
inference(rat,[],[s829,s924,s932]) ).
cnf(s936,plain,
~ spl48_233,
inference(rat,[],[s738,s935]) ).
cnf(s937,plain,
~ spl48_295,
inference(rat,[],[s436,s935]) ).
cnf(s939,plain,
spl48_52,
inference(rat,[],[s636,s910,s67,s794,s374,s935]) ).
cnf(s941,plain,
spl48_210,
inference(rat,[],[s820,s937]) ).
cnf(s943,plain,
~ spl48_240,
inference(rat,[],[s654,s941]) ).
cnf(s945,plain,
~ spl48_208,
inference(rat,[],[s430,s941]) ).
cnf(s946,plain,
spl48_64,
inference(rat,[],[s646,s893,s794,s258,s941]) ).
cnf(s948,plain,
( ~ spl48_205
| ~ spl48_172
| ~ spl48_267
| ~ spl48_161
| ~ spl48_53 ),
inference(rat,[],[s871,s641,s630,s634,s648,s806,s821,s819,s796,s640,s643,s587,s671,s467,s672,s248,s824,s929,s182,s369,s532,s925,s939,s946,s374,s67,s915,s794,s258,s936,s943,s905,s909,s816,s898,s771]) ).
cnf(s949,plain,
( spl48_158
| ~ spl48_152 ),
inference(rat,[],[s871,s643,s641,s805,s387,s640,s650,s825,s671,s438,s634,s630,s466,s388,s798,s821,s648,s439,s656,s660,s173,s851,s948,s369,s384,s532,s546,s838,s361,s407,s638,s925,s939,s946,s794,s67,s909,s374,s915,s764,s905,s258,s748,s945,s936,s919,s920,s934,s771,s898,s908,s906,s779,s930]) ).
cnf(s950,plain,
~ spl48_158,
inference(rat,[],[s88,s678,s757,s369,s317,s682,s772,s789,s858,s788,s857,s856,s855,s859,s854,s882,s787,s883,s911,s771,s898,s905]) ).
cnf(s951,plain,
spl48_161,
inference(rat,[],[s361,s779,s906,s950]) ).
cnf(s953,plain,
~ spl48_152,
inference(rat,[],[s949,s950]) ).
cnf(s954,plain,
~ spl48_269,
inference(rat,[],[s596,s951]) ).
cnf(s961,plain,
$false,
inference(rat,[],[s380,s776,s954,s953]) ).
fof(f5347,plain,
$false,
inference(avatar_sat_refutation,[],[s961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:34:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/0.45 % (2932539)Will run a generic schedule for satisfiability detection.
% 0.99/0.45 % (2932547)dis+10_1_sil=32000:sp=arity:random_seed=673762242:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.99/0.45 % (2932545)% WARNING: option uhcvi not known.
% 0.99/0.45 % (2932544)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1671469315_2999 on theBenchmark for (2999ds/0Mi)
% 0.99/0.45 % (2932545)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2464305173:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.99/0.45 % (2932546)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2497825446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.99/0.45 % (2932548)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2663622701:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.99/0.45 % (2932550)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2326913228:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.99/0.45 % (2932549)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=630283812:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.99/0.45 % (2932547)Instruction limit reached!
% 0.99/0.45 % (2932547)------------------------------
% 0.99/0.45 % (2932547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.45 % (2932547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.45 % (2932547)CaDiCaL version: 2.1.3
% 0.99/0.45 % (2932547)Termination reason: Instruction limit
% 0.99/0.45 % (2932547)Termination phase: Saturation
% 0.99/0.45 % (2932547)Time elapsed: 0.030 s
% 0.99/0.45 % (2932547)Peak memory usage: 13 MB
% 0.99/0.45 % (2932547)Instructions burned: 105 (million)
% 0.99/0.45 % (2932558)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1227629830:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.99/0.45 % Detected minimum model sizes of [8]
% 0.99/0.45 % Detected maximum model sizes of [max]
% 0.99/0.45 % TRYING [8]
% 0.99/0.45 % Detected minimum model sizes of [8]
% 0.99/0.45 % Detected maximum model sizes of [max]
% 0.99/0.45 % TRYING [8]
% 0.99/0.45 % (2932548)Instruction limit reached!
% 0.99/0.45 % (2932548)------------------------------
% 0.99/0.45 % (2932548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.45 % (2932548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.45 % (2932548)CaDiCaL version: 2.1.3
% 0.99/0.45 % (2932548)Termination reason: Instruction limit
% 0.99/0.45 % (2932548)Termination phase: Saturation
% 0.99/0.45 % (2932548)Time elapsed: 0.053 s
% 0.99/0.45 % (2932548)Peak memory usage: 13 MB
% 0.99/0.45 % (2932548)Instructions burned: 116 (million)
% 0.99/0.45 % (2932560)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=204720221:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.99/0.45 % (2932550)Instruction limit reached!
% 0.99/0.45 % (2932550)------------------------------
% 0.99/0.45 % (2932550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.45 % (2932550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.45 % (2932550)CaDiCaL version: 2.1.3
% 0.99/0.45 % (2932550)Termination reason: Instruction limit
% 0.99/0.45 % (2932550)Termination phase: Saturation
% 0.99/0.45 % (2932550)Time elapsed: 0.086 s
% 0.99/0.45 % (2932550)Peak memory usage: 14 MB
% 0.99/0.45 % (2932550)Instructions burned: 159 (million)
% 0.99/0.45 % (2932549)Instruction limit reached!
% 0.99/0.45 % (2932549)------------------------------
% 0.99/0.45 % (2932549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.45 % (2932549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.45 % (2932549)CaDiCaL version: 2.1.3
% 0.99/0.45 % (2932549)Termination reason: Instruction limit
% 0.99/0.45 % (2932549)Termination phase: Saturation
% 0.99/0.45 % (2932549)Time elapsed: 0.101 s
% 0.99/0.45 % (2932549)Peak memory usage: 13 MB
% 0.99/0.45 % (2932549)Instructions burned: 131 (million)
% 0.99/0.45 % (2932562)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2345920976:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.99/0.45 % TRYING [9]
% 0.99/0.45 % (2932560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2932539-2932560"...
% 0.99/0.45 % (2932545) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2932539-2932545"...
% 0.99/0.45 % (2932564)ott-21_1_sil=16000:fs=off:random_seed=3649402262:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.99/0.45 % (2932560)...printing done.
% 0.99/0.45 % (2932560)Refutation found. Thanks to Tanya!
% 0.99/0.45 % SZS status Theorem for theBenchmark
% 0.99/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.99/0.47 % (2932560)------------------------------
% 0.99/0.47 % (2932560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.47 % (2932560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.47 % (2932560)CaDiCaL version: 2.1.3
% 0.99/0.47 % (2932560)Termination reason: Refutation
% 0.99/0.47 % (2932560)Time elapsed: 0.086 s
% 0.99/0.47 % (2932560)Peak memory usage: 14 MB
% 0.99/0.47 % (2932560)Instructions burned: 174 (million)
% 0.99/0.47 % (2932539)Success in time 0.211 s
% 0.99/0.47 % Vampire exiting
%------------------------------------------------------------------------------