%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:12:08 AM UTC 2026
% Result : Theorem 4.44s 1.35s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 231
% Syntax : Number of formulae : 1673 ( 121 unt; 214 def)
% Number of atoms : 6672 (3203 equ)
% Maximal formula atoms : 180 ( 3 avg)
% Number of connectives : 8648 (3649 ~;3908 |; 919 &)
% ( 172 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 216 ( 214 usr; 215 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,e10) = e10
& ( 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(e10,e11) = e11
& ( 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(e10,e12) = e12
& ( 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(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,e10) = e10
& ( 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(e11,e11) = e11
& ( 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(e11,e12) = e12
& ( 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(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,e10) = e10
& ( 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(e12,e11) = e11
& ( 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(e12,e12) = e12
& ( 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(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,e10) = e10
& ( 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(e13,e11) = e11
& ( 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(e13,e12) = e12
& ( 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(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(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& ( 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(e20,e21) = e21
& ( 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(e20,e22) = e22
& ( 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(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,e20) = e20
& ( 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(e21,e21) = e21
& ( 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(e21,e22) = e22
& ( 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(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,e20) = e20
& ( 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(e22,e21) = e21
& ( 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(e22,e22) = e22
& ( 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(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,e20) = e20
& ( 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(e23,e21) = e21
& ( 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(e23,e22) = e22
& ( 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(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(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(e13,e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e12 = op1(op1(e13,e13),e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(e23,e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e22 = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e12) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e12) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e12) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e12) = op2(op2(e23,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,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,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) )
| sP11
| sP10
| sP9 )
& ( 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) )
| sP8
| sP7
| sP6 )
& ( 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) )
| sP5
| sP4
| sP3 )
& ( 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) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,definition,
( ( 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 ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op1(e13,e12) = e12
& ( 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 ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op1(e13,e11) = e11
& ( 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 ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( op1(e13,e10) = e10
& ( 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(f38,definition,
( ( 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(f39,definition,
( ( op1(e12,e12) = e12
& ( 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 ) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op1(e12,e11) = e11
& ( 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 ) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( op1(e12,e10) = e10
& ( 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 ) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( 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 ) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( op1(e11,e12) = e12
& ( 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 ) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( op1(e11,e11) = e11
& ( 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 ) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( op1(e11,e10) = e10
& ( 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 ) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( 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 ) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( op1(e10,e12) = e12
& ( 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 ) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( op1(e10,e11) = e11
& ( 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 ) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,plain,
( ( ( op1(e10,e10) = e10
& ( 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 ) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
inference(definition_folding,[],[f10,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f50,definition,
( ( 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 ) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( op2(e23,e22) = e22
& ( 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 ) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( op2(e23,e21) = e21
& ( 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 ) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( op2(e23,e20) = e20
& ( 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 ) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( 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 ) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op2(e22,e22) = e22
& ( 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 ) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op2(e22,e21) = e21
& ( 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 ) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op2(e22,e20) = e20
& ( 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(f58,definition,
( ( 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(f59,definition,
( ( op2(e21,e22) = e22
& ( 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 ) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( op2(e21,e21) = e21
& ( 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 ) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( op2(e21,e20) = e20
& ( 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 ) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( 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 ) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( op2(e20,e22) = e22
& ( 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 ) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( op2(e20,e21) = e21
& ( 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 ) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f65,plain,
( ( ( op2(e20,e20) = e20
& ( 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 ) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
inference(definition_folding,[],[f11,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f72,plain,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f73,plain,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f74,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,plain,
( ( op1(e10,e11) = e11
& ( 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 ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f79,plain,
( ( op1(e10,e12) = e12
& ( 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 ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f80,plain,
( ( 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 ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f81,plain,
( ( op1(e11,e10) = e10
& ( 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 ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f82,plain,
( ( op1(e11,e11) = e11
& ( 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 ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f83,plain,
( ( op1(e11,e12) = e12
& ( 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 ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f84,plain,
( ( 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 ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f85,plain,
( ( op1(e12,e10) = e10
& ( 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 ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f86,plain,
( ( op1(e12,e11) = e11
& ( 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 ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f87,plain,
( ( op1(e12,e12) = e12
& ( 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 ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f88,plain,
( ( 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,[],[f38]) ).
fof(f89,plain,
( ( op1(e13,e10) = e10
& ( 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,[],[f37]) ).
fof(f90,plain,
( ( op1(e13,e11) = e11
& ( 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 ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f91,plain,
( ( op1(e13,e12) = e12
& ( 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 ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f92,plain,
( ( 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 ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f93,plain,
( ( op2(e20,e21) = e21
& ( 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 ) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f94,plain,
( ( op2(e20,e22) = e22
& ( 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 ) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f95,plain,
( ( 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 ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f96,plain,
( ( op2(e21,e20) = e20
& ( 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 ) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f97,plain,
( ( op2(e21,e21) = e21
& ( 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 ) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f98,plain,
( ( op2(e21,e22) = e22
& ( 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 ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f99,plain,
( ( 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,[],[f58]) ).
fof(f100,plain,
( ( op2(e22,e20) = e20
& ( 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,[],[f57]) ).
fof(f101,plain,
( ( op2(e22,e21) = e21
& ( 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 ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f102,plain,
( ( op2(e22,e22) = e22
& ( 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 ) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f103,plain,
( ( 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 ) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f104,plain,
( ( op2(e23,e20) = e20
& ( 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 ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f105,plain,
( ( op2(e23,e21) = e21
& ( 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 ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f106,plain,
( ( op2(e23,e22) = e22
& ( 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 ) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f107,plain,
( ( 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 ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f134,plain,
( e21 != h3(e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
( e22 != h3(e13)
| ~ sP4 ),
inference(cnf_transformation,[],[f73]) ).
fof(f141,plain,
( e23 != h3(e12)
| ~ sP3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f163,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f33]) ).
fof(f172,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f173,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f174,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f175,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f176,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f177,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f178,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f179,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f180,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f181,plain,
( e10 != op1(e13,e13)
| e13 != op1(e13,e10)
| ~ sP26 ),
inference(cnf_transformation,[],[f78]) ).
fof(f186,plain,
( e10 != op1(e13,e13)
| e13 != op1(e13,e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f195,plain,
( e13 = op1(e10,e13)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f198,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f200,plain,
( e10 = op1(e11,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f203,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f208,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f210,plain,
( e12 = op1(e11,e12)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f213,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f217,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f220,plain,
( e10 = op1(e12,e10)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f222,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f225,plain,
( e11 = op1(e12,e11)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f227,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f230,plain,
( e12 = op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f235,plain,
( e13 = op1(e12,e13)
| ~ sP16 ),
inference(cnf_transformation,[],[f88]) ).
fof(f240,plain,
( e10 = op1(e13,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f245,plain,
( e11 = op1(e13,e11)
| ~ sP14 ),
inference(cnf_transformation,[],[f90]) ).
fof(f250,plain,
( e12 = op1(e13,e12)
| ~ sP13 ),
inference(cnf_transformation,[],[f91]) ).
fof(f255,plain,
( e13 = op1(e13,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f92]) ).
fof(f259,plain,
( e10 != op1(e13,e13)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f260,plain,
( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f49]) ).
fof(f262,plain,
( e11 != op1(e12,e12)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f49]) ).
fof(f263,plain,
( e10 != op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f264,plain,
( e13 != op1(e11,e11)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f49]) ).
fof(f265,plain,
( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f49]) ).
fof(f267,plain,
( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f269,plain,
( op1(e10,e10) != e12
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f49]) ).
fof(f272,plain,
( e10 = op1(e10,e10)
| e11 = op1(e11,e11)
| e12 = op1(e12,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f49]) ).
fof(f273,plain,
( e10 != op1(e13,e13)
| e13 != op1(e13,e10)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f49]) ).
fof(f304,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f326,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f334,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f368,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f374,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f376,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f377,plain,
( e20 != op2(e23,e23)
| e23 != op2(e23,e20)
| ~ sP41 ),
inference(cnf_transformation,[],[f93]) ).
fof(f382,plain,
( e20 != op2(e23,e23)
| e23 != op2(e23,e20)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f387,plain,
( e20 != op2(e23,e23)
| e23 != op2(e23,e20)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f394,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f395,plain,
( op2(e20,e20) != e21
| e20 != op2(e20,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f396,plain,
( e20 = op2(e21,e20)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f399,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f400,plain,
( op2(e20,e20) != e21
| e20 != op2(e20,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f401,plain,
( e21 = op2(e21,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f404,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f405,plain,
( op2(e20,e20) != e21
| e20 != op2(e20,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f406,plain,
( e22 = op2(e21,e22)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f409,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f410,plain,
( op2(e20,e20) != e21
| e20 != op2(e20,e21)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f411,plain,
( e23 = op2(e21,e23)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f413,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f416,plain,
( e20 = op2(e22,e20)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f418,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f421,plain,
( e21 = op2(e22,e21)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f423,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f102]) ).
fof(f426,plain,
( e22 = op2(e22,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f102]) ).
fof(f428,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f431,plain,
( e23 = op2(e22,e23)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f436,plain,
( e20 = op2(e23,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f441,plain,
( e21 = op2(e23,e21)
| ~ sP29 ),
inference(cnf_transformation,[],[f105]) ).
fof(f446,plain,
( e22 = op2(e23,e22)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f451,plain,
( e23 = op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f453,plain,
( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f65]) ).
fof(f455,plain,
( e20 != op2(e23,e23)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f456,plain,
( e23 != op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f65]) ).
fof(f458,plain,
( e21 != op2(e22,e22)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f65]) ).
fof(f459,plain,
( e20 != op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f460,plain,
( e23 != op2(e21,e21)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f65]) ).
fof(f461,plain,
( e22 != op2(e21,e21)
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f65]) ).
fof(f463,plain,
( e20 != op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f464,plain,
( op2(e20,e20) != e23
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f65]) ).
fof(f465,plain,
( op2(e20,e20) != e22
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f65]) ).
fof(f466,plain,
( op2(e20,e20) != e21
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f65]) ).
fof(f468,plain,
( e20 = op2(e20,e20)
| e21 = op2(e21,e21)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f65]) ).
fof(f472,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f473,plain,
( e20 = op2(e20,e20)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f490,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f491,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f492,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f493,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f494,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f495,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f505,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f506,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f509,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f512,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f528,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f540,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f544,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f547,plain,
( e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f548,plain,
( e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f549,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f552,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f553,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f554,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f555,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f556,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f557,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f558,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f559,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f560,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f561,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f562,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f563,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f564,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f566,plain,
( e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f567,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f569,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f570,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f572,plain,
( op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f573,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f574,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f575,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f591,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f3]) ).
fof(f594,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f596,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f597,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(cnf_transformation,[],[f15]) ).
fof(f598,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f600,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f601,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f602,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f603,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f606,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f608,plain,
( e20 != op2(e20,e20)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(duplicate_literal_removal,[],[f472]) ).
fof(f613,plain,
( e22 != op2(e22,e22)
| ~ sP31 ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f614,plain,
( e22 != op2(e22,e22)
| ~ sP32 ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f615,plain,
( e22 != op2(e22,e22)
| ~ sP33 ),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f616,plain,
( e22 != op2(e22,e22)
| ~ sP34 ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f617,plain,
( e21 != op2(e21,e21)
| ~ sP35 ),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f618,plain,
( e21 != op2(e21,e21)
| ~ sP36 ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f619,plain,
( e21 != op2(e21,e21)
| ~ sP37 ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f620,plain,
( e21 != op2(e21,e21)
| ~ sP38 ),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f630,plain,
( e12 != op1(e12,e12)
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f631,plain,
( e12 != op1(e12,e12)
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f632,plain,
( e12 != op1(e12,e12)
| ~ sP19 ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f633,plain,
( e11 != op1(e11,e11)
| ~ sP20 ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f634,plain,
( e11 != op1(e11,e11)
| ~ sP21 ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f635,plain,
( e11 != op1(e11,e11)
| ~ sP22 ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f636,plain,
( e11 != op1(e11,e11)
| ~ sP23 ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f641,plain,
h3(e11) = op2(h3(e12),e22),
inference(forward_demodulation,[],[f601,f600]) ).
fof(f642,plain,
h2(e11) = op2(h2(e12),e21),
inference(forward_demodulation,[],[f597,f596]) ).
fof(f646,definition,
( spl42_1
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f648,plain,
( e23 = op2(e23,e22)
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f650,definition,
( spl42_2
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f652,plain,
( e22 = op2(e23,e22)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f654,definition,
( spl42_3
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f656,plain,
( e21 = op2(e23,e22)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl42_4
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f660,plain,
( e20 = op2(e23,e22)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f663,definition,
( spl42_5
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f665,plain,
( e23 = op2(e23,e21)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f667,definition,
( spl42_6
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f669,plain,
( e22 = op2(e23,e21)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f671,definition,
( spl42_7
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f673,plain,
( e21 = op2(e23,e21)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl42_8
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition]) ).
fof(f677,plain,
( e20 = op2(e23,e21)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f680,definition,
( spl42_9
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition]) ).
fof(f682,plain,
( e23 = op2(e23,e20)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f684,definition,
( spl42_10
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_10])],[avatar_definition]) ).
fof(f686,plain,
( e22 = op2(e23,e20)
| ~ spl42_10 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f688,definition,
( spl42_11
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_11])],[avatar_definition]) ).
fof(f690,plain,
( e21 = op2(e23,e20)
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f692,definition,
( spl42_12
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_12])],[avatar_definition]) ).
fof(f694,plain,
( e20 = op2(e23,e20)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f697,definition,
( spl42_13
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition]) ).
fof(f699,plain,
( e23 = op2(e22,e23)
| ~ spl42_13 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f701,definition,
( spl42_14
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_14])],[avatar_definition]) ).
fof(f703,plain,
( e22 = op2(e22,e23)
| ~ spl42_14 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f705,definition,
( spl42_15
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_15])],[avatar_definition]) ).
fof(f707,plain,
( e21 = op2(e22,e23)
| ~ spl42_15 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl42_16
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_16])],[avatar_definition]) ).
fof(f711,plain,
( e20 = op2(e22,e23)
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f715,definition,
( spl42_17
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition]) ).
fof(f717,plain,
( e23 = op2(e22,e21)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f719,definition,
( spl42_18
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_18])],[avatar_definition]) ).
fof(f721,plain,
( e22 = op2(e22,e21)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f723,definition,
( spl42_19
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition]) ).
fof(f725,plain,
( e21 = op2(e22,e21)
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f727,definition,
( spl42_20
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition]) ).
fof(f729,plain,
( e20 = op2(e22,e21)
| ~ spl42_20 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f732,definition,
( spl42_21
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition]) ).
fof(f734,plain,
( e23 = op2(e22,e20)
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f736,definition,
( spl42_22
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_22])],[avatar_definition]) ).
fof(f738,plain,
( e22 = op2(e22,e20)
| ~ spl42_22 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f740,definition,
( spl42_23
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition]) ).
fof(f742,plain,
( e21 = op2(e22,e20)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f744,definition,
( spl42_24
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition]) ).
fof(f746,plain,
( e20 = op2(e22,e20)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f749,definition,
( spl42_25
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition]) ).
fof(f751,plain,
( e23 = op2(e21,e23)
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,definition,
( spl42_26
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition]) ).
fof(f755,plain,
( e22 = op2(e21,e23)
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f757,definition,
( spl42_27
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_27])],[avatar_definition]) ).
fof(f759,plain,
( e21 = op2(e21,e23)
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f761,definition,
( spl42_28
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_28])],[avatar_definition]) ).
fof(f763,plain,
( e20 = op2(e21,e23)
| ~ spl42_28 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f766,definition,
( spl42_29
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_29])],[avatar_definition]) ).
fof(f768,plain,
( e23 = op2(e21,e22)
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl42_30
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_30])],[avatar_definition]) ).
fof(f772,plain,
( e22 = op2(e21,e22)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f774,definition,
( spl42_31
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_31])],[avatar_definition]) ).
fof(f776,plain,
( e21 = op2(e21,e22)
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f778,definition,
( spl42_32
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_32])],[avatar_definition]) ).
fof(f780,plain,
( e20 = op2(e21,e22)
| ~ spl42_32 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f784,definition,
( spl42_33
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_33])],[avatar_definition]) ).
fof(f786,plain,
( e23 = op2(e21,e20)
| ~ spl42_33 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f788,definition,
( spl42_34
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_34])],[avatar_definition]) ).
fof(f790,plain,
( e22 = op2(e21,e20)
| ~ spl42_34 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl42_35
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_35])],[avatar_definition]) ).
fof(f794,plain,
( e21 = op2(e21,e20)
| ~ spl42_35 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl42_36
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_36])],[avatar_definition]) ).
fof(f798,plain,
( e20 = op2(e21,e20)
| ~ spl42_36 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f801,definition,
( spl42_37
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_37])],[avatar_definition]) ).
fof(f803,plain,
( e23 = op2(e20,e23)
| ~ spl42_37 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f805,definition,
( spl42_38
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_38])],[avatar_definition]) ).
fof(f806,plain,
( e22 != op2(e20,e23)
| spl42_38 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f807,plain,
( e22 = op2(e20,e23)
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl42_39
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_39])],[avatar_definition]) ).
fof(f811,plain,
( e21 = op2(e20,e23)
| ~ spl42_39 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl42_40
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_40])],[avatar_definition]) ).
fof(f815,plain,
( e20 = op2(e20,e23)
| ~ spl42_40 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f818,definition,
( spl42_41
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_41])],[avatar_definition]) ).
fof(f820,plain,
( e23 = op2(e20,e22)
| ~ spl42_41 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f822,definition,
( spl42_42
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_42])],[avatar_definition]) ).
fof(f824,plain,
( e22 = op2(e20,e22)
| ~ spl42_42 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl42_43
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_43])],[avatar_definition]) ).
fof(f828,plain,
( e21 = op2(e20,e22)
| ~ spl42_43 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl42_44
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_44])],[avatar_definition]) ).
fof(f832,plain,
( e20 = op2(e20,e22)
| ~ spl42_44 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f835,definition,
( spl42_45
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_45])],[avatar_definition]) ).
fof(f837,plain,
( e23 = op2(e20,e21)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f839,definition,
( spl42_46
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_46])],[avatar_definition]) ).
fof(f841,plain,
( e22 = op2(e20,e21)
| ~ spl42_46 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f843,definition,
( spl42_47
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_47])],[avatar_definition]) ).
fof(f845,plain,
( e21 = op2(e20,e21)
| ~ spl42_47 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl42_48
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_48])],[avatar_definition]) ).
fof(f849,plain,
( e20 = op2(e20,e21)
| ~ spl42_48 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f851,plain,
( e20 = h1(e10)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f591,f594]) ).
fof(f852,plain,
( e23 = h4(e10)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f544,f606]) ).
fof(f855,plain,
( e22 = h4(e10)
| e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f547,f606]) ).
fof(f856,plain,
( e21 = h4(e10)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f548,f606]) ).
fof(f857,plain,
( e21 = h4(e10)
| e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f549,f606]) ).
fof(f860,plain,
( e23 = h3(e10)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f552,f602]) ).
fof(f861,plain,
( e23 = h3(e10)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f553,f602]) ).
fof(f862,plain,
( e22 = h3(e10)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f554,f602]) ).
fof(f863,plain,
( e22 = h3(e10)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f555,f602]) ).
fof(f864,plain,
( e21 = h3(e10)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f556,f602]) ).
fof(f865,plain,
( e21 = h3(e10)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f557,f602]) ).
fof(f866,plain,
( e20 = h3(e10)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f558,f602]) ).
fof(f867,plain,
( e20 = h3(e10)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f559,f602]) ).
fof(f868,plain,
( e23 = h2(e10)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[],[f560,f598]) ).
fof(f869,plain,
( e23 = h2(e10)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[],[f561,f598]) ).
fof(f870,plain,
( e22 = h2(e10)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f562,f598]) ).
fof(f871,plain,
( e22 = h2(e10)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[],[f563,f598]) ).
fof(f872,plain,
( e21 = h2(e10)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f564,f598]) ).
fof(f874,plain,
( e20 = h2(e10)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[],[f566,f598]) ).
fof(f875,plain,
( e20 = h2(e10)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(forward_demodulation,[],[f567,f598]) ).
fof(f877,plain,
( e23 = h1(e10)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f569,f594]) ).
fof(f878,plain,
( e22 = h1(e10)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f570,f594]) ).
fof(f880,plain,
( e21 = h1(e10)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f572,f594]) ).
fof(f881,plain,
( e21 = h1(e10)
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f573,f594]) ).
fof(f882,plain,
( e20 = h1(e10)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f574,f594]) ).
fof(f883,plain,
( e20 = h1(e10)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f575,f594]) ).
fof(f889,plain,
op2(e22,e20) != h3(e10),
inference(forward_demodulation,[],[f506,f602]) ).
fof(f890,plain,
op2(e21,e23) != h2(e10),
inference(forward_demodulation,[],[f509,f598]) ).
fof(f900,plain,
op2(e21,e22) != h3(e10),
inference(forward_demodulation,[],[f528,f602]) ).
fof(f908,plain,
( e22 != h4(e10)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f453,f606]) ).
fof(f910,plain,
( e20 != h4(e10)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f455,f606]) ).
fof(f911,plain,
( e23 != h3(e10)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f456,f602]) ).
fof(f912,plain,
( e21 != h3(e10)
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[],[f458,f602]) ).
fof(f913,plain,
( e20 != h3(e10)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f459,f602]) ).
fof(f914,plain,
( e23 != h2(e10)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f460,f598]) ).
fof(f915,plain,
( e22 != h2(e10)
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[],[f461,f598]) ).
fof(f916,plain,
( e20 != h2(e10)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f463,f598]) ).
fof(f917,plain,
( e23 != h1(e10)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f464,f594]) ).
fof(f918,plain,
( e22 != h1(e10)
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[],[f465,f594]) ).
fof(f919,plain,
( e21 != h1(e10)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f466,f594]) ).
fof(f920,plain,
( e20 = h1(e10)
| e21 = op2(e21,e21)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f468,f594]) ).
fof(f924,plain,
( e20 != h1(e10)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f608,f594]) ).
fof(f925,plain,
( e20 = h1(e10)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f473,f594]) ).
fof(f930,plain,
( e23 = h4(e10)
| ~ sP27 ),
inference(forward_demodulation,[],[f451,f606]) ).
fof(f936,definition,
( spl42_49
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl42_49])],[avatar_definition]) ).
fof(f939,plain,
( ~ spl42_49
| spl42_2 ),
inference(avatar_split_clause,[],[f446,f650,f936]) ).
fof(f945,definition,
( spl42_50
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition]) ).
fof(f948,plain,
( ~ spl42_50
| spl42_7 ),
inference(avatar_split_clause,[],[f441,f671,f945]) ).
fof(f954,definition,
( spl42_51
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl42_51])],[avatar_definition]) ).
fof(f957,plain,
( ~ spl42_51
| spl42_12 ),
inference(avatar_split_clause,[],[f436,f692,f954]) ).
fof(f959,plain,
( e22 != h3(e10)
| ~ sP31 ),
inference(forward_demodulation,[],[f613,f602]) ).
fof(f963,definition,
( spl42_52
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl42_52])],[avatar_definition]) ).
fof(f966,plain,
( ~ spl42_52
| spl42_13 ),
inference(avatar_split_clause,[],[f431,f697,f963]) ).
fof(f968,plain,
( e22 != h3(e10)
| ~ sP32 ),
inference(forward_demodulation,[],[f614,f602]) ).
fof(f971,plain,
( e22 = h3(e10)
| ~ sP32 ),
inference(forward_demodulation,[],[f426,f602]) ).
fof(f973,plain,
( e22 != h3(e10)
| ~ sP33 ),
inference(forward_demodulation,[],[f615,f602]) ).
fof(f977,definition,
( spl42_53
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl42_53])],[avatar_definition]) ).
fof(f980,plain,
( ~ spl42_53
| spl42_19 ),
inference(avatar_split_clause,[],[f421,f723,f977]) ).
fof(f982,plain,
( e22 != h3(e10)
| ~ sP34 ),
inference(forward_demodulation,[],[f616,f602]) ).
fof(f986,definition,
( spl42_54
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl42_54])],[avatar_definition]) ).
fof(f989,plain,
( ~ spl42_54
| spl42_24 ),
inference(avatar_split_clause,[],[f416,f744,f986]) ).
fof(f992,plain,
( e21 != h2(e10)
| ~ sP35 ),
inference(forward_demodulation,[],[f617,f598]) ).
fof(f993,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP35 ),
inference(forward_demodulation,[],[f410,f594]) ).
fof(f995,definition,
( spl42_55
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl42_55])],[avatar_definition]) ).
fof(f998,plain,
( ~ spl42_55
| spl42_25 ),
inference(avatar_split_clause,[],[f411,f749,f995]) ).
fof(f1001,plain,
( e21 != h2(e10)
| ~ sP36 ),
inference(forward_demodulation,[],[f618,f598]) ).
fof(f1002,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP36 ),
inference(forward_demodulation,[],[f405,f594]) ).
fof(f1004,definition,
( spl42_56
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl42_56])],[avatar_definition]) ).
fof(f1007,plain,
( ~ spl42_56
| spl42_30 ),
inference(avatar_split_clause,[],[f406,f770,f1004]) ).
fof(f1010,plain,
( e21 != h2(e10)
| ~ sP37 ),
inference(forward_demodulation,[],[f619,f598]) ).
fof(f1011,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP37 ),
inference(forward_demodulation,[],[f400,f594]) ).
fof(f1012,plain,
( e21 = h2(e10)
| ~ sP37 ),
inference(forward_demodulation,[],[f401,f598]) ).
fof(f1015,plain,
( e21 != h2(e10)
| ~ sP38 ),
inference(forward_demodulation,[],[f620,f598]) ).
fof(f1016,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP38 ),
inference(forward_demodulation,[],[f395,f594]) ).
fof(f1018,definition,
( spl42_57
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl42_57])],[avatar_definition]) ).
fof(f1021,plain,
( ~ spl42_57
| spl42_36 ),
inference(avatar_split_clause,[],[f396,f796,f1018]) ).
fof(f1022,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP39 ),
inference(forward_demodulation,[],[f387,f606]) ).
fof(f1027,definition,
( spl42_58
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl42_58])],[avatar_definition]) ).
fof(f1031,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP40 ),
inference(forward_demodulation,[],[f382,f606]) ).
fof(f1036,definition,
( spl42_59
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl42_59])],[avatar_definition]) ).
fof(f1040,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP41 ),
inference(forward_demodulation,[],[f377,f606]) ).
fof(f1045,definition,
( spl42_60
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl42_60])],[avatar_definition]) ).
fof(f1049,plain,
e22 = op2(h4(e10),e23),
inference(forward_demodulation,[],[f374,f606]) ).
fof(f1052,definition,
( spl42_61
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_61])],[avatar_definition]) ).
fof(f1054,plain,
( e13 = op1(e13,e13)
| ~ spl42_61 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1056,definition,
( spl42_62
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_62])],[avatar_definition]) ).
fof(f1058,plain,
( e12 = op1(e13,e13)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1060,definition,
( spl42_63
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_63])],[avatar_definition]) ).
fof(f1062,plain,
( e11 = op1(e13,e13)
| ~ spl42_63 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1064,definition,
( spl42_64
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_64])],[avatar_definition]) ).
fof(f1066,plain,
( e10 = op1(e13,e13)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1069,definition,
( spl42_65
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_65])],[avatar_definition]) ).
fof(f1071,plain,
( e13 = op1(e13,e12)
| ~ spl42_65 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1073,definition,
( spl42_66
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_66])],[avatar_definition]) ).
fof(f1075,plain,
( e12 = op1(e13,e12)
| ~ spl42_66 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1077,definition,
( spl42_67
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_67])],[avatar_definition]) ).
fof(f1079,plain,
( e11 = op1(e13,e12)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1081,definition,
( spl42_68
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_68])],[avatar_definition]) ).
fof(f1083,plain,
( e10 = op1(e13,e12)
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1090,definition,
( spl42_70
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_70])],[avatar_definition]) ).
fof(f1092,plain,
( e12 = op1(e13,e11)
| ~ spl42_70 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1094,definition,
( spl42_71
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_71])],[avatar_definition]) ).
fof(f1096,plain,
( e11 = op1(e13,e11)
| ~ spl42_71 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1103,definition,
( spl42_73
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_73])],[avatar_definition]) ).
fof(f1105,plain,
( e13 = op1(e13,e10)
| ~ spl42_73 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1107,definition,
( spl42_74
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_74])],[avatar_definition]) ).
fof(f1109,plain,
( e12 = op1(e13,e10)
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1111,definition,
( spl42_75
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_75])],[avatar_definition]) ).
fof(f1113,plain,
( e11 = op1(e13,e10)
| ~ spl42_75 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1115,definition,
( spl42_76
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_76])],[avatar_definition]) ).
fof(f1117,plain,
( e10 = op1(e13,e10)
| ~ spl42_76 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1120,definition,
( spl42_77
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_77])],[avatar_definition]) ).
fof(f1122,plain,
( e13 = op1(e12,e13)
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1124,definition,
( spl42_78
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_78])],[avatar_definition]) ).
fof(f1126,plain,
( e12 = op1(e12,e13)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1128,definition,
( spl42_79
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_79])],[avatar_definition]) ).
fof(f1130,plain,
( e11 = op1(e12,e13)
| ~ spl42_79 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1132,definition,
( spl42_80
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_80])],[avatar_definition]) ).
fof(f1134,plain,
( e10 = op1(e12,e13)
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1137,definition,
( spl42_81
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_81])],[avatar_definition]) ).
fof(f1141,definition,
( spl42_82
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_82])],[avatar_definition]) ).
fof(f1143,plain,
( e12 = op1(e12,e12)
| ~ spl42_82 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1145,definition,
( spl42_83
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_83])],[avatar_definition]) ).
fof(f1149,definition,
( spl42_84
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_84])],[avatar_definition]) ).
fof(f1151,plain,
( e10 = op1(e12,e12)
| ~ spl42_84 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1152,plain,
( spl42_81
| spl42_82
| spl42_83
| spl42_84 ),
inference(avatar_split_clause,[],[f363,f1149,f1145,f1141,f1137]) ).
fof(f1154,definition,
( spl42_85
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_85])],[avatar_definition]) ).
fof(f1156,plain,
( e13 = op1(e12,e11)
| ~ spl42_85 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1158,definition,
( spl42_86
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_86])],[avatar_definition]) ).
fof(f1160,plain,
( e12 = op1(e12,e11)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl42_87
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_87])],[avatar_definition]) ).
fof(f1164,plain,
( e11 = op1(e12,e11)
| ~ spl42_87 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1166,definition,
( spl42_88
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_88])],[avatar_definition]) ).
fof(f1168,plain,
( e10 = op1(e12,e11)
| ~ spl42_88 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1171,definition,
( spl42_89
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_89])],[avatar_definition]) ).
fof(f1173,plain,
( e13 = op1(e12,e10)
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1175,definition,
( spl42_90
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_90])],[avatar_definition]) ).
fof(f1177,plain,
( e12 = op1(e12,e10)
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1179,definition,
( spl42_91
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_91])],[avatar_definition]) ).
fof(f1181,plain,
( e11 = op1(e12,e10)
| ~ spl42_91 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1183,definition,
( spl42_92
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_92])],[avatar_definition]) ).
fof(f1185,plain,
( e10 = op1(e12,e10)
| ~ spl42_92 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1188,definition,
( spl42_93
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_93])],[avatar_definition]) ).
fof(f1190,plain,
( e13 = op1(e11,e13)
| ~ spl42_93 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1192,definition,
( spl42_94
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_94])],[avatar_definition]) ).
fof(f1194,plain,
( e12 = op1(e11,e13)
| ~ spl42_94 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1196,definition,
( spl42_95
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_95])],[avatar_definition]) ).
fof(f1198,plain,
( e11 = op1(e11,e13)
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1200,definition,
( spl42_96
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_96])],[avatar_definition]) ).
fof(f1202,plain,
( e10 = op1(e11,e13)
| ~ spl42_96 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1205,definition,
( spl42_97
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_97])],[avatar_definition]) ).
fof(f1207,plain,
( e13 = op1(e11,e12)
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1209,definition,
( spl42_98
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_98])],[avatar_definition]) ).
fof(f1211,plain,
( e12 = op1(e11,e12)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1213,definition,
( spl42_99
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_99])],[avatar_definition]) ).
fof(f1215,plain,
( e11 = op1(e11,e12)
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1217,definition,
( spl42_100
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_100])],[avatar_definition]) ).
fof(f1219,plain,
( e10 = op1(e11,e12)
| ~ spl42_100 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1222,definition,
( spl42_101
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_101])],[avatar_definition]) ).
fof(f1226,definition,
( spl42_102
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_102])],[avatar_definition]) ).
fof(f1228,plain,
( e12 = op1(e11,e11)
| ~ spl42_102 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1230,definition,
( spl42_103
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_103])],[avatar_definition]) ).
fof(f1232,plain,
( e11 = op1(e11,e11)
| ~ spl42_103 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1234,definition,
( spl42_104
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_104])],[avatar_definition]) ).
fof(f1236,plain,
( e10 = op1(e11,e11)
| ~ spl42_104 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1237,plain,
( spl42_101
| spl42_102
| spl42_103
| spl42_104 ),
inference(avatar_split_clause,[],[f368,f1234,f1230,f1226,f1222]) ).
fof(f1243,definition,
( spl42_106
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_106])],[avatar_definition]) ).
fof(f1245,plain,
( e12 = op1(e11,e10)
| ~ spl42_106 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1247,definition,
( spl42_107
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_107])],[avatar_definition]) ).
fof(f1249,plain,
( e11 = op1(e11,e10)
| ~ spl42_107 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1251,definition,
( spl42_108
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_108])],[avatar_definition]) ).
fof(f1253,plain,
( e10 = op1(e11,e10)
| ~ spl42_108 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1256,definition,
( spl42_109
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_109])],[avatar_definition]) ).
fof(f1258,plain,
( e13 = op1(e10,e13)
| ~ spl42_109 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1260,definition,
( spl42_110
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_110])],[avatar_definition]) ).
fof(f1262,plain,
( e12 = op1(e10,e13)
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1273,definition,
( spl42_113
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_113])],[avatar_definition]) ).
fof(f1275,plain,
( e13 = op1(e10,e12)
| ~ spl42_113 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1281,definition,
( spl42_115
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_115])],[avatar_definition]) ).
fof(f1283,plain,
( e11 = op1(e10,e12)
| ~ spl42_115 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1285,definition,
( spl42_116
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_116])],[avatar_definition]) ).
fof(f1287,plain,
( e10 = op1(e10,e12)
| ~ spl42_116 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1298,definition,
( spl42_119
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_119])],[avatar_definition]) ).
fof(f1300,plain,
( e11 = op1(e10,e11)
| ~ spl42_119 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1311,definition,
( spl42_122
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl42_122])],[avatar_definition]) ).
fof(f1315,definition,
( spl42_123
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl42_123])],[avatar_definition]) ).
fof(f1317,plain,
( op1(e10,e10) = e11
| ~ spl42_123 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1319,definition,
( spl42_124
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl42_124])],[avatar_definition]) ).
fof(f1321,plain,
( e10 = op1(e10,e10)
| ~ spl42_124 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1323,plain,
( spl42_61
| spl42_77
| spl42_93
| spl42_109 ),
inference(avatar_split_clause,[],[f326,f1256,f1188,f1120,f1052]) ).
fof(f1326,plain,
( spl42_62
| spl42_66
| spl42_70
| spl42_74 ),
inference(avatar_split_clause,[],[f329,f1107,f1090,f1073,f1056]) ).
fof(f1328,plain,
( spl42_63
| spl42_67
| spl42_71
| spl42_75 ),
inference(avatar_split_clause,[],[f331,f1111,f1094,f1077,f1060]) ).
fof(f1331,plain,
( spl42_65
| spl42_81
| spl42_97
| spl42_113 ),
inference(avatar_split_clause,[],[f334,f1273,f1205,f1137,f1069]) ).
fof(f1332,plain,
( spl42_77
| spl42_81
| spl42_85
| spl42_89 ),
inference(avatar_split_clause,[],[f335,f1171,f1154,f1137,f1120]) ).
fof(f1335,plain,
( spl42_67
| spl42_83
| spl42_99
| spl42_115 ),
inference(avatar_split_clause,[],[f338,f1281,f1213,f1145,f1077]) ).
fof(f1337,plain,
( spl42_68
| spl42_84
| spl42_100
| spl42_116 ),
inference(avatar_split_clause,[],[f340,f1285,f1217,f1149,f1081]) ).
fof(f1338,plain,
( spl42_80
| spl42_84
| spl42_88
| spl42_92 ),
inference(avatar_split_clause,[],[f341,f1183,f1166,f1149,f1132]) ).
fof(f1342,plain,
( spl42_94
| spl42_98
| spl42_102
| spl42_106 ),
inference(avatar_split_clause,[],[f345,f1243,f1226,f1209,f1192]) ).
fof(f1343,plain,
( spl42_71
| spl42_87
| spl42_103
| spl42_119 ),
inference(avatar_split_clause,[],[f346,f1298,f1230,f1162,f1094]) ).
fof(f1344,plain,
( spl42_95
| spl42_99
| spl42_103
| spl42_107 ),
inference(avatar_split_clause,[],[f347,f1247,f1230,f1213,f1196]) ).
fof(f1346,plain,
( spl42_96
| spl42_100
| spl42_104
| spl42_108 ),
inference(avatar_split_clause,[],[f349,f1251,f1234,f1217,f1200]) ).
fof(f1349,plain,
( spl42_74
| spl42_90
| spl42_106
| spl42_122 ),
inference(avatar_split_clause,[],[f352,f1311,f1243,f1175,f1107]) ).
fof(f1351,plain,
( spl42_75
| spl42_91
| spl42_107
| spl42_123 ),
inference(avatar_split_clause,[],[f354,f1315,f1247,f1179,f1111]) ).
fof(f1357,plain,
( spl42_73
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f259,f1064,f1103]) ).
fof(f1358,plain,
( spl42_78
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f260,f1137,f1124]) ).
fof(f1359,plain,
( spl42_86
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f262,f1145,f1158]) ).
fof(f1360,plain,
( spl42_90
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f263,f1149,f1175]) ).
fof(f1361,plain,
( spl42_95
| ~ spl42_101 ),
inference(avatar_split_clause,[],[f264,f1222,f1196]) ).
fof(f1362,plain,
( spl42_99
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f265,f1226,f1213]) ).
fof(f1363,plain,
( spl42_107
| ~ spl42_104 ),
inference(avatar_split_clause,[],[f267,f1234,f1247]) ).
fof(f1365,plain,
( spl42_116
| ~ spl42_122 ),
inference(avatar_split_clause,[],[f269,f1311,f1285]) ).
fof(f1367,plain,
( spl42_61
| spl42_82
| spl42_103
| spl42_124 ),
inference(avatar_split_clause,[],[f272,f1319,f1230,f1141,f1052]) ).
fof(f1369,definition,
( spl42_125
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl42_125])],[avatar_definition]) ).
fof(f1373,definition,
( spl42_126
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl42_126])],[avatar_definition]) ).
fof(f1377,definition,
( spl42_127
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl42_127])],[avatar_definition]) ).
fof(f1381,definition,
( spl42_128
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl42_128])],[avatar_definition]) ).
fof(f1385,definition,
( spl42_129
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl42_129])],[avatar_definition]) ).
fof(f1389,definition,
( spl42_130
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl42_130])],[avatar_definition]) ).
fof(f1393,definition,
( spl42_131
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl42_131])],[avatar_definition]) ).
fof(f1397,definition,
( spl42_132
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl42_132])],[avatar_definition]) ).
fof(f1401,definition,
( spl42_133
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl42_133])],[avatar_definition]) ).
fof(f1405,definition,
( spl42_134
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl42_134])],[avatar_definition]) ).
fof(f1409,definition,
( spl42_135
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl42_135])],[avatar_definition]) ).
fof(f1413,definition,
( spl42_136
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl42_136])],[avatar_definition]) ).
fof(f1417,definition,
( spl42_137
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl42_137])],[avatar_definition]) ).
fof(f1421,definition,
( spl42_138
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl42_138])],[avatar_definition]) ).
fof(f1425,definition,
( spl42_139
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl42_139])],[avatar_definition]) ).
fof(f1428,plain,
( spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139
| ~ spl42_73
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f273,f1064,f1103,f1425,f1421,f1417,f1413,f1409,f1405,f1401,f1397,f1393,f1389,f1385,f1381,f1377,f1373,f1369]) ).
fof(f1437,plain,
( ~ spl42_125
| spl42_61 ),
inference(avatar_split_clause,[],[f255,f1052,f1369]) ).
fof(f1442,plain,
( ~ spl42_126
| spl42_66 ),
inference(avatar_split_clause,[],[f250,f1073,f1373]) ).
fof(f1447,plain,
( ~ spl42_127
| spl42_71 ),
inference(avatar_split_clause,[],[f245,f1094,f1377]) ).
fof(f1452,plain,
( ~ spl42_128
| spl42_76 ),
inference(avatar_split_clause,[],[f240,f1115,f1381]) ).
fof(f1457,plain,
( ~ spl42_129
| spl42_77 ),
inference(avatar_split_clause,[],[f235,f1120,f1385]) ).
fof(f1459,plain,
( ~ spl42_130
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f630,f1141,f1389]) ).
fof(f1462,plain,
( ~ spl42_130
| spl42_82 ),
inference(avatar_split_clause,[],[f230,f1141,f1389]) ).
fof(f1464,plain,
( ~ spl42_131
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f631,f1141,f1393]) ).
fof(f1467,plain,
( ~ spl42_131
| spl42_87 ),
inference(avatar_split_clause,[],[f225,f1162,f1393]) ).
fof(f1469,plain,
( ~ spl42_132
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f632,f1141,f1397]) ).
fof(f1472,plain,
( ~ spl42_132
| spl42_92 ),
inference(avatar_split_clause,[],[f220,f1183,f1397]) ).
fof(f1475,plain,
( ~ spl42_133
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f633,f1230,f1401]) ).
fof(f1480,plain,
( ~ spl42_134
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f634,f1230,f1405]) ).
fof(f1482,plain,
( ~ spl42_134
| spl42_98 ),
inference(avatar_split_clause,[],[f210,f1209,f1405]) ).
fof(f1485,plain,
( ~ spl42_135
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f635,f1230,f1409]) ).
fof(f1490,plain,
( ~ spl42_136
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f636,f1230,f1413]) ).
fof(f1492,plain,
( ~ spl42_136
| spl42_108 ),
inference(avatar_split_clause,[],[f200,f1251,f1413]) ).
fof(f1497,plain,
( ~ spl42_137
| spl42_109 ),
inference(avatar_split_clause,[],[f195,f1256,f1417]) ).
fof(f1498,plain,
( ~ spl42_138
| ~ spl42_73
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f186,f1064,f1103,f1421]) ).
fof(f1503,plain,
( ~ spl42_139
| ~ spl42_73
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f181,f1064,f1103,f1425]) ).
fof(f1508,plain,
e11 = op1(e12,e13),
inference(forward_demodulation,[],[f179,f178]) ).
fof(f1509,plain,
spl42_64,
inference(avatar_split_clause,[],[f180,f1064]) ).
fof(f1517,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f163,f603]) ).
fof(f1542,definition,
( spl42_143
<=> e23 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl42_143])],[avatar_definition]) ).
fof(f1543,plain,
( e23 = h4(e10)
| ~ spl42_143 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1562,definition,
( spl42_147
<=> e22 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl42_147])],[avatar_definition]) ).
fof(f1582,definition,
( spl42_151
<=> e21 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl42_151])],[avatar_definition]) ).
fof(f1583,plain,
( e21 = h4(e10)
| ~ spl42_151 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1588,definition,
( spl42_152
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl42_152])],[avatar_definition]) ).
fof(f1592,definition,
( spl42_153
<=> e23 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl42_153])],[avatar_definition]) ).
fof(f1593,plain,
( e23 = h3(e12)
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1595,plain,
( ~ spl42_152
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f141,f1592,f1588]) ).
fof(f1602,definition,
( spl42_155
<=> e23 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl42_155])],[avatar_definition]) ).
fof(f1603,plain,
( e23 = h3(e10)
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1606,plain,
~ sP4,
inference(forward_subsumption_resolution,[],[f136,f603]) ).
fof(f1608,definition,
( spl42_156
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl42_156])],[avatar_definition]) ).
fof(f1622,definition,
( spl42_159
<=> e22 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl42_159])],[avatar_definition]) ).
fof(f1623,plain,
( e22 = h3(e10)
| ~ spl42_159 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1628,definition,
( spl42_160
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl42_160])],[avatar_definition]) ).
fof(f1637,definition,
( spl42_162
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl42_162])],[avatar_definition]) ).
fof(f1638,plain,
( e21 = h3(e11)
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1640,plain,
( ~ spl42_160
| ~ spl42_162 ),
inference(avatar_split_clause,[],[f134,f1637,f1628]) ).
fof(f1642,definition,
( spl42_163
<=> e21 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl42_163])],[avatar_definition]) ).
fof(f1643,plain,
( e21 = h3(e10)
| ~ spl42_163 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1662,definition,
( spl42_167
<=> e23 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl42_167])],[avatar_definition]) ).
fof(f1663,plain,
( e23 = h2(e10)
| ~ spl42_167 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1682,definition,
( spl42_171
<=> e22 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl42_171])],[avatar_definition]) ).
fof(f1683,plain,
( e22 = h2(e10)
| ~ spl42_171 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1692,definition,
( spl42_173
<=> e21 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl42_173])],[avatar_definition]) ).
fof(f1693,plain,
( e21 = h2(e12)
| ~ spl42_173 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1694,plain,
( e21 != h2(e12)
| spl42_173 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1702,definition,
( spl42_175
<=> e21 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl42_175])],[avatar_definition]) ).
fof(f1703,plain,
( e21 = h2(e10)
| ~ spl42_175 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1722,definition,
( spl42_179
<=> e23 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl42_179])],[avatar_definition]) ).
fof(f1742,definition,
( spl42_183
<=> e22 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl42_183])],[avatar_definition]) ).
fof(f1743,plain,
( e22 = h1(e10)
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1762,definition,
( spl42_187
<=> e21 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl42_187])],[avatar_definition]) ).
fof(f1763,plain,
( e21 = h1(e10)
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1769,plain,
( e21 = h1(e10)
| e20 = h1(e10)
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f851,f594]) ).
fof(f1770,plain,
( spl42_13
| spl42_25
| spl42_37
| spl42_143 ),
inference(avatar_split_clause,[],[f852,f1542,f801,f749,f697]) ).
fof(f1773,plain,
( spl42_2
| spl42_6
| spl42_10
| spl42_147 ),
inference(avatar_split_clause,[],[f855,f1562,f684,f667,f650]) ).
fof(f1774,plain,
( spl42_15
| spl42_27
| spl42_39
| spl42_151 ),
inference(avatar_split_clause,[],[f856,f1582,f809,f757,f705]) ).
fof(f1775,plain,
( spl42_3
| spl42_7
| spl42_11
| spl42_151 ),
inference(avatar_split_clause,[],[f857,f1582,f688,f671,f654]) ).
fof(f1777,definition,
( spl42_188
<=> e20 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl42_188])],[avatar_definition]) ).
fof(f1779,plain,
( e20 = h4(e10)
| ~ spl42_188 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f1782,plain,
( spl42_1
| spl42_29
| spl42_41
| spl42_155 ),
inference(avatar_split_clause,[],[f860,f1602,f818,f766,f646]) ).
fof(f1783,plain,
( spl42_13
| spl42_17
| spl42_21
| spl42_155 ),
inference(avatar_split_clause,[],[f861,f1602,f732,f715,f697]) ).
fof(f1784,plain,
( spl42_2
| spl42_30
| spl42_42
| spl42_159 ),
inference(avatar_split_clause,[],[f862,f1622,f822,f770,f650]) ).
fof(f1785,plain,
( spl42_14
| spl42_18
| spl42_22
| spl42_159 ),
inference(avatar_split_clause,[],[f863,f1622,f736,f719,f701]) ).
fof(f1786,plain,
( spl42_3
| spl42_31
| spl42_43
| spl42_163 ),
inference(avatar_split_clause,[],[f864,f1642,f826,f774,f654]) ).
fof(f1787,plain,
( spl42_15
| spl42_19
| spl42_23
| spl42_163 ),
inference(avatar_split_clause,[],[f865,f1642,f740,f723,f705]) ).
fof(f1789,definition,
( spl42_189
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl42_189])],[avatar_definition]) ).
fof(f1791,plain,
( e20 = h3(e10)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f1792,plain,
( spl42_4
| spl42_32
| spl42_44
| spl42_189 ),
inference(avatar_split_clause,[],[f866,f1789,f830,f778,f658]) ).
fof(f1793,plain,
( spl42_16
| spl42_20
| spl42_24
| spl42_189 ),
inference(avatar_split_clause,[],[f867,f1789,f744,f727,f709]) ).
fof(f1794,plain,
( spl42_5
| spl42_17
| spl42_45
| spl42_167 ),
inference(avatar_split_clause,[],[f868,f1662,f835,f715,f663]) ).
fof(f1795,plain,
( spl42_25
| spl42_29
| spl42_33
| spl42_167 ),
inference(avatar_split_clause,[],[f869,f1662,f784,f766,f749]) ).
fof(f1796,plain,
( spl42_6
| spl42_18
| spl42_46
| spl42_171 ),
inference(avatar_split_clause,[],[f870,f1682,f839,f719,f667]) ).
fof(f1797,plain,
( spl42_26
| spl42_30
| spl42_34
| spl42_171 ),
inference(avatar_split_clause,[],[f871,f1682,f788,f770,f753]) ).
fof(f1798,plain,
( spl42_7
| spl42_19
| spl42_47
| spl42_175 ),
inference(avatar_split_clause,[],[f872,f1702,f843,f723,f671]) ).
fof(f1801,definition,
( spl42_190
<=> e20 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl42_190])],[avatar_definition]) ).
fof(f1803,plain,
( e20 = h2(e10)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1804,plain,
( spl42_8
| spl42_20
| spl42_48
| spl42_190 ),
inference(avatar_split_clause,[],[f874,f1801,f847,f727,f675]) ).
fof(f1805,plain,
( spl42_28
| spl42_32
| spl42_36
| spl42_190 ),
inference(avatar_split_clause,[],[f875,f1801,f796,f778,f761]) ).
fof(f1807,plain,
( spl42_37
| spl42_41
| spl42_45
| spl42_179 ),
inference(avatar_split_clause,[],[f877,f1722,f835,f818,f801]) ).
fof(f1808,plain,
( spl42_10
| spl42_22
| spl42_34
| spl42_183 ),
inference(avatar_split_clause,[],[f878,f1742,f788,f736,f684]) ).
fof(f1810,plain,
( spl42_11
| spl42_23
| spl42_35
| spl42_187 ),
inference(avatar_split_clause,[],[f880,f1762,f792,f740,f688]) ).
fof(f1811,plain,
( spl42_39
| spl42_43
| spl42_47
| spl42_187 ),
inference(avatar_split_clause,[],[f881,f1762,f843,f826,f809]) ).
fof(f1813,definition,
( spl42_191
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl42_191])],[avatar_definition]) ).
fof(f1815,plain,
( e20 = h1(e10)
| ~ spl42_191 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1816,plain,
( spl42_12
| spl42_24
| spl42_36
| spl42_191 ),
inference(avatar_split_clause,[],[f882,f1813,f796,f744,f692]) ).
fof(f1817,plain,
( spl42_40
| spl42_44
| spl42_48
| spl42_191 ),
inference(avatar_split_clause,[],[f883,f1813,f847,f830,f813]) ).
fof(f1818,plain,
( spl42_1
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f908,f1562,f646]) ).
fof(f1820,plain,
( spl42_9
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f910,f1777,f680]) ).
fof(f1821,plain,
( spl42_14
| ~ spl42_155 ),
inference(avatar_split_clause,[],[f911,f1602,f701]) ).
fof(f1822,plain,
( spl42_18
| ~ spl42_163 ),
inference(avatar_split_clause,[],[f912,f1642,f719]) ).
fof(f1823,plain,
( spl42_22
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f913,f1789,f736]) ).
fof(f1824,plain,
( spl42_27
| ~ spl42_167 ),
inference(avatar_split_clause,[],[f914,f1662,f757]) ).
fof(f1825,plain,
( spl42_31
| ~ spl42_171 ),
inference(avatar_split_clause,[],[f915,f1682,f774]) ).
fof(f1826,plain,
( spl42_35
| ~ spl42_190 ),
inference(avatar_split_clause,[],[f916,f1801,f792]) ).
fof(f1827,plain,
( spl42_40
| ~ spl42_179 ),
inference(avatar_split_clause,[],[f917,f1722,f813]) ).
fof(f1828,plain,
( spl42_44
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f918,f1742,f830]) ).
fof(f1829,plain,
( spl42_48
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f919,f1762,f847]) ).
fof(f1830,plain,
( e21 = h2(e10)
| e20 = h1(e10)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f920,f598]) ).
fof(f1832,definition,
( spl42_192
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl42_192])],[avatar_definition]) ).
fof(f1836,definition,
( spl42_193
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl42_193])],[avatar_definition]) ).
fof(f1840,definition,
( spl42_194
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl42_194])],[avatar_definition]) ).
fof(f1846,plain,
( spl42_192
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_193
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_194
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_191 ),
inference(avatar_split_clause,[],[f924,f1813,f1045,f1036,f1027,f1018,f1840,f1004,f995,f986,f977,f1836,f963,f954,f945,f936,f1832]) ).
fof(f1847,plain,
( spl42_192
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_193
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_194
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| spl42_191 ),
inference(avatar_split_clause,[],[f925,f1813,f1045,f1036,f1027,f1018,f1840,f1004,f995,f986,f977,f1836,f963,f954,f945,f936,f1832]) ).
fof(f1852,plain,
( ~ spl42_192
| spl42_143 ),
inference(avatar_split_clause,[],[f930,f1542,f1832]) ).
fof(f1866,plain,
( ~ spl42_52
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f959,f1622,f963]) ).
fof(f1870,plain,
( ~ spl42_193
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f968,f1622,f1836]) ).
fof(f1873,plain,
( ~ spl42_193
| spl42_159 ),
inference(avatar_split_clause,[],[f971,f1622,f1836]) ).
fof(f1875,plain,
( ~ spl42_53
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f973,f1622,f977]) ).
fof(f1879,plain,
( ~ spl42_54
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f982,f1622,f986]) ).
fof(f1884,plain,
( ~ spl42_55
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f992,f1702,f995]) ).
fof(f1885,plain,
( ~ spl42_55
| ~ spl42_48
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f993,f1762,f847,f995]) ).
fof(f1888,plain,
( ~ spl42_56
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f1001,f1702,f1004]) ).
fof(f1889,plain,
( ~ spl42_56
| ~ spl42_48
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f1002,f1762,f847,f1004]) ).
fof(f1892,plain,
( ~ spl42_194
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f1010,f1702,f1840]) ).
fof(f1893,plain,
( ~ spl42_194
| ~ spl42_48
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f1011,f1762,f847,f1840]) ).
fof(f1894,plain,
( ~ spl42_194
| spl42_175 ),
inference(avatar_split_clause,[],[f1012,f1702,f1840]) ).
fof(f1897,plain,
( ~ spl42_57
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f1015,f1702,f1018]) ).
fof(f1898,plain,
( ~ spl42_57
| ~ spl42_48
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f1016,f1762,f847,f1018]) ).
fof(f1899,plain,
( ~ spl42_58
| ~ spl42_9
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1022,f1777,f680,f1027]) ).
fof(f1903,plain,
( ~ spl42_59
| ~ spl42_9
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1031,f1777,f680,f1036]) ).
fof(f1907,plain,
( ~ spl42_60
| ~ spl42_9
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1040,f1777,f680,f1045]) ).
fof(f1911,plain,
spl42_79,
inference(avatar_split_clause,[],[f1508,f1128]) ).
fof(f1919,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1517,f603]) ).
fof(f1929,plain,
~ spl42_156,
inference(avatar_split_clause,[],[f1606,f1608]) ).
fof(f1934,plain,
( e22 = h1(e10)
| e21 = h1(e10)
| e20 = h1(e10)
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f1769,f594]) ).
fof(f1935,plain,
( e22 = h3(e10)
| e21 = h2(e10)
| e20 = h1(e10)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f1830,f602]) ).
fof(f1943,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1919,f603]) ).
fof(f1955,plain,
( e23 = h1(e10)
| e22 = h1(e10)
| e21 = h1(e10)
| e20 = h1(e10) ),
inference(forward_demodulation,[],[f1934,f594]) ).
fof(f1956,plain,
( e23 = h4(e10)
| e22 = h3(e10)
| e21 = h2(e10)
| e20 = h1(e10) ),
inference(forward_demodulation,[],[f1935,f606]) ).
fof(f1964,plain,
( h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1943,f641]) ).
fof(f1976,plain,
( spl42_191
| spl42_187
| spl42_183
| spl42_179 ),
inference(avatar_split_clause,[],[f1955,f1722,f1742,f1762,f1813]) ).
fof(f1977,plain,
( spl42_191
| spl42_175
| spl42_159
| spl42_143 ),
inference(avatar_split_clause,[],[f1956,f1542,f1622,f1702,f1813]) ).
fof(f1985,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1964,f603]) ).
fof(f2001,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1985,f603]) ).
fof(f2017,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2001,f603]) ).
fof(f2033,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2017,f603]) ).
fof(f2049,plain,
( h3(e10) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e11) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2033,f602]) ).
fof(f2068,definition,
( spl42_196
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_196])],[avatar_definition]) ).
fof(f2070,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl42_196 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f2072,definition,
( spl42_197
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_197])],[avatar_definition]) ).
fof(f2074,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl42_197 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2076,definition,
( spl42_198
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_198])],[avatar_definition]) ).
fof(f2078,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl42_198 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2080,definition,
( spl42_199
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_199])],[avatar_definition]) ).
fof(f2082,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl42_199 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2084,definition,
( spl42_200
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_200])],[avatar_definition]) ).
fof(f2086,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl42_200 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2088,definition,
( spl42_201
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_201])],[avatar_definition]) ).
fof(f2090,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl42_201 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f2092,definition,
( spl42_202
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_202])],[avatar_definition]) ).
fof(f2094,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl42_202 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f2096,definition,
( spl42_203
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_203])],[avatar_definition]) ).
fof(f2098,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl42_203 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2100,definition,
( spl42_204
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_204])],[avatar_definition]) ).
fof(f2102,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_204 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2104,definition,
( spl42_205
<=> h3(op1(e10,e13)) = op2(h3(e10),e22) ),
introduced(definition,[new_symbols(definition,[spl42_205])],[avatar_definition]) ).
fof(f2106,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| spl42_205 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2108,definition,
( spl42_206
<=> h3(op1(e11,e13)) = op2(h3(e11),e22) ),
introduced(definition,[new_symbols(definition,[spl42_206])],[avatar_definition]) ).
fof(f2110,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl42_206 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2112,definition,
( spl42_207
<=> h3(e11) = h3(op1(e12,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_207])],[avatar_definition]) ).
fof(f2114,plain,
( h3(e11) != h3(op1(e12,e13))
| spl42_207 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f2116,definition,
( spl42_208
<=> h3(op1(e13,e10)) = op2(e22,h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_208])],[avatar_definition]) ).
fof(f2118,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl42_208 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2120,definition,
( spl42_209
<=> h3(op1(e13,e11)) = op2(e22,h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_209])],[avatar_definition]) ).
fof(f2122,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| spl42_209 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f2124,definition,
( spl42_210
<=> h3(op1(e13,e12)) = op2(e22,h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_210])],[avatar_definition]) ).
fof(f2126,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| spl42_210 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f2128,definition,
( spl42_211
<=> h3(e10) = h3(op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_211])],[avatar_definition]) ).
fof(f2130,plain,
( h3(e10) != h3(op1(e13,e13))
| spl42_211 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2137,plain,
( spl42_152
| spl42_156
| spl42_160
| ~ spl42_189
| ~ spl42_196
| ~ spl42_197
| ~ spl42_198
| ~ spl42_199
| ~ spl42_200
| ~ spl42_201
| ~ spl42_202
| ~ spl42_203
| ~ spl42_204
| ~ spl42_205
| ~ spl42_206
| ~ spl42_207
| ~ spl42_208
| ~ spl42_209
| ~ spl42_210
| ~ spl42_211 ),
inference(avatar_split_clause,[],[f2049,f2128,f2124,f2120,f2116,f2112,f2108,f2104,f2100,f2096,f2092,f2088,f2084,f2080,f2076,f2072,f2068,f1789,f1628,f1608,f1588]) ).
fof(f2160,definition,
( spl42_218
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_218])],[avatar_definition]) ).
fof(f2161,plain,
( h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
| ~ spl42_218 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2162,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl42_218 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2209,definition,
( spl42_230
<=> e20 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl42_230])],[avatar_definition]) ).
fof(f2210,plain,
( e20 = h2(e11)
| ~ spl42_230 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2211,plain,
( e20 != h2(e11)
| spl42_230 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2394,plain,
( e21 = e22
| ~ spl42_6
| ~ spl42_7 ),
inference(superposition,[],[f673,f669]) ).
fof(f2398,plain,
( $false
| ~ spl42_6
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f2394,f492]) ).
fof(f2399,plain,
( ~ spl42_6
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f2398]) ).
fof(f2403,plain,
( e20 = e21
| ~ spl42_7
| ~ spl42_8 ),
inference(superposition,[],[f677,f673]) ).
fof(f2407,plain,
( $false
| ~ spl42_7
| ~ spl42_8 ),
inference(forward_subsumption_resolution,[],[f2403,f495]) ).
fof(f2408,plain,
( ~ spl42_7
| ~ spl42_8 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2431,plain,
( e20 = e21
| ~ spl42_19
| ~ spl42_20 ),
inference(forward_demodulation,[],[f725,f729]) ).
fof(f2432,plain,
( $false
| ~ spl42_19
| ~ spl42_20 ),
inference(forward_subsumption_resolution,[],[f2431,f495]) ).
fof(f2433,plain,
( ~ spl42_19
| ~ spl42_20 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2435,plain,
( e20 = e22
| ~ spl42_14
| ~ spl42_16 ),
inference(superposition,[],[f711,f703]) ).
fof(f2439,plain,
( $false
| ~ spl42_14
| ~ spl42_16 ),
inference(forward_subsumption_resolution,[],[f2435,f494]) ).
fof(f2440,plain,
( ~ spl42_14
| ~ spl42_16 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2442,plain,
( e22 = e23
| ~ spl42_17
| ~ spl42_18 ),
inference(superposition,[],[f721,f717]) ).
fof(f2446,plain,
( $false
| ~ spl42_17
| ~ spl42_18 ),
inference(forward_subsumption_resolution,[],[f2442,f490]) ).
fof(f2447,plain,
( ~ spl42_17
| ~ spl42_18 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
fof(f2449,plain,
( e20 = e23
| ~ spl42_17
| ~ spl42_20 ),
inference(superposition,[],[f729,f717]) ).
fof(f2453,plain,
( $false
| ~ spl42_17
| ~ spl42_20 ),
inference(forward_subsumption_resolution,[],[f2449,f493]) ).
fof(f2454,plain,
( ~ spl42_17
| ~ spl42_20 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2458,plain,
( e21 = e23
| ~ spl42_21
| ~ spl42_23 ),
inference(superposition,[],[f742,f734]) ).
fof(f2462,plain,
( $false
| ~ spl42_21
| ~ spl42_23 ),
inference(forward_subsumption_resolution,[],[f2458,f491]) ).
fof(f2463,plain,
( ~ spl42_21
| ~ spl42_23 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2475,plain,
( e20 = e23
| ~ spl42_155
| ~ spl42_189 ),
inference(superposition,[],[f1791,f1603]) ).
fof(f2476,plain,
( e20 = e23
| ~ spl42_155
| ~ spl42_189 ),
inference(superposition,[],[f1603,f1791]) ).
fof(f2477,plain,
( $false
| ~ spl42_155
| ~ spl42_189 ),
inference(forward_subsumption_resolution,[],[f2476,f493]) ).
fof(f2478,plain,
( ~ spl42_155
| ~ spl42_189 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2479,plain,
( $false
| ~ spl42_155
| ~ spl42_189 ),
inference(forward_subsumption_resolution,[],[f2475,f493]) ).
fof(f2480,plain,
( ~ spl42_155
| ~ spl42_189 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2481,plain,
( e21 = e23
| ~ spl42_29
| ~ spl42_31 ),
inference(forward_demodulation,[],[f768,f776]) ).
fof(f2485,plain,
( $false
| ~ spl42_29
| ~ spl42_31 ),
inference(forward_subsumption_resolution,[],[f2481,f491]) ).
fof(f2486,plain,
( ~ spl42_29
| ~ spl42_31 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2487,plain,
( e20 = e23
| ~ spl42_1
| ~ spl42_4 ),
inference(forward_demodulation,[],[f648,f660]) ).
fof(f2489,plain,
( $false
| ~ spl42_1
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f2487,f493]) ).
fof(f2490,plain,
( ~ spl42_1
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
fof(f2493,plain,
( e22 = e23
| ~ spl42_21
| ~ spl42_22 ),
inference(superposition,[],[f738,f734]) ).
fof(f2497,plain,
( $false
| ~ spl42_21
| ~ spl42_22 ),
inference(forward_subsumption_resolution,[],[f2493,f490]) ).
fof(f2498,plain,
( ~ spl42_21
| ~ spl42_22 ),
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2508,plain,
( e21 = e22
| ~ spl42_26
| ~ spl42_27 ),
inference(superposition,[],[f759,f755]) ).
fof(f2512,plain,
( $false
| ~ spl42_26
| ~ spl42_27 ),
inference(forward_subsumption_resolution,[],[f2508,f492]) ).
fof(f2513,plain,
( ~ spl42_26
| ~ spl42_27 ),
inference(avatar_contradiction_clause,[],[f2512]) ).
fof(f2529,plain,
( e21 = e23
| ~ spl42_33
| ~ spl42_35 ),
inference(superposition,[],[f794,f786]) ).
fof(f2533,plain,
( $false
| ~ spl42_33
| ~ spl42_35 ),
inference(forward_subsumption_resolution,[],[f2529,f491]) ).
fof(f2534,plain,
( ~ spl42_33
| ~ spl42_35 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2536,plain,
( e20 = e21
| ~ spl42_35
| ~ spl42_36 ),
inference(superposition,[],[f798,f794]) ).
fof(f2540,plain,
( $false
| ~ spl42_35
| ~ spl42_36 ),
inference(forward_subsumption_resolution,[],[f2536,f495]) ).
fof(f2541,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2568,plain,
( e21 = e22
| ~ spl42_42
| ~ spl42_43 ),
inference(superposition,[],[f828,f824]) ).
fof(f2569,plain,
( e21 = e22
| ~ spl42_42
| ~ spl42_43 ),
inference(superposition,[],[f824,f828]) ).
fof(f2570,plain,
( $false
| ~ spl42_42
| ~ spl42_43 ),
inference(forward_subsumption_resolution,[],[f2569,f492]) ).
fof(f2571,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
fof(f2572,plain,
( $false
| ~ spl42_42
| ~ spl42_43 ),
inference(forward_subsumption_resolution,[],[f2568,f492]) ).
fof(f2573,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(avatar_contradiction_clause,[],[f2572]) ).
fof(f2574,plain,
( e20 = e21
| ~ spl42_3
| ~ spl42_4 ),
inference(forward_demodulation,[],[f656,f660]) ).
fof(f2576,plain,
( $false
| ~ spl42_3
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f2574,f495]) ).
fof(f2577,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f2576]) ).
fof(f2579,plain,
( e20 = e21
| ~ spl42_47
| ~ spl42_48 ),
inference(forward_demodulation,[],[f845,f849]) ).
fof(f2580,plain,
( $false
| ~ spl42_47
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f2579,f495]) ).
fof(f2581,plain,
( ~ spl42_47
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2583,plain,
( e20 = e22
| ~ spl42_34
| ~ spl42_36 ),
inference(forward_demodulation,[],[f790,f798]) ).
fof(f2590,plain,
( $false
| ~ spl42_34
| ~ spl42_36 ),
inference(forward_subsumption_resolution,[],[f2583,f494]) ).
fof(f2591,plain,
( ~ spl42_34
| ~ spl42_36 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2599,plain,
( e21 = e23
| ~ spl42_13
| ~ spl42_15 ),
inference(forward_demodulation,[],[f699,f707]) ).
fof(f2603,plain,
( $false
| ~ spl42_13
| ~ spl42_15 ),
inference(forward_subsumption_resolution,[],[f2599,f491]) ).
fof(f2604,plain,
( ~ spl42_13
| ~ spl42_15 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2614,plain,
( e20 = e21
| ~ spl42_43
| ~ spl42_44 ),
inference(superposition,[],[f832,f828]) ).
fof(f2615,plain,
( e20 = e21
| ~ spl42_43
| ~ spl42_44 ),
inference(superposition,[],[f828,f832]) ).
fof(f2617,plain,
( $false
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f2615,f495]) ).
fof(f2618,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2619,plain,
( $false
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f2614,f495]) ).
fof(f2620,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f2619]) ).
fof(f2640,plain,
( e20 = e22
| ~ spl42_6
| ~ spl42_8 ),
inference(superposition,[],[f677,f669]) ).
fof(f2644,plain,
( $false
| ~ spl42_6
| ~ spl42_8 ),
inference(forward_subsumption_resolution,[],[f2640,f494]) ).
fof(f2645,plain,
( ~ spl42_6
| ~ spl42_8 ),
inference(avatar_contradiction_clause,[],[f2644]) ).
fof(f2646,plain,
( e20 = e22
| ~ spl42_2
| ~ spl42_4 ),
inference(forward_demodulation,[],[f652,f660]) ).
fof(f2649,plain,
( $false
| ~ spl42_2
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f2646,f494]) ).
fof(f2650,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f2649]) ).
fof(f2656,plain,
( e20 = e23
| ~ spl42_29
| ~ spl42_32 ),
inference(superposition,[],[f780,f768]) ).
fof(f2660,plain,
( $false
| ~ spl42_29
| ~ spl42_32 ),
inference(forward_subsumption_resolution,[],[f2656,f493]) ).
fof(f2661,plain,
( ~ spl42_29
| ~ spl42_32 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
fof(f2664,plain,
( e21 = e23
| ~ spl42_41
| ~ spl42_43 ),
inference(forward_demodulation,[],[f820,f828]) ).
fof(f2668,plain,
( $false
| ~ spl42_41
| ~ spl42_43 ),
inference(forward_subsumption_resolution,[],[f2664,f491]) ).
fof(f2669,plain,
( ~ spl42_41
| ~ spl42_43 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2670,plain,
( e22 = e23
| ~ spl42_25
| ~ spl42_26 ),
inference(forward_demodulation,[],[f751,f755]) ).
fof(f2672,plain,
( $false
| ~ spl42_25
| ~ spl42_26 ),
inference(forward_subsumption_resolution,[],[f2670,f490]) ).
fof(f2673,plain,
( ~ spl42_25
| ~ spl42_26 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2674,plain,
( e20 = e22
| ~ spl42_38
| ~ spl42_40 ),
inference(forward_demodulation,[],[f807,f815]) ).
fof(f2675,plain,
( $false
| ~ spl42_38
| ~ spl42_40 ),
inference(forward_subsumption_resolution,[],[f2674,f494]) ).
fof(f2676,plain,
( ~ spl42_38
| ~ spl42_40 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
fof(f2680,plain,
( e22 = e23
| ~ spl42_155
| ~ spl42_159 ),
inference(forward_demodulation,[],[f1603,f1623]) ).
fof(f2686,plain,
( $false
| ~ spl42_155
| ~ spl42_159 ),
inference(forward_subsumption_resolution,[],[f2680,f490]) ).
fof(f2687,plain,
( ~ spl42_155
| ~ spl42_159 ),
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2699,plain,
( e21 = e23
| ~ spl42_9
| ~ spl42_11 ),
inference(forward_demodulation,[],[f682,f690]) ).
fof(f2700,plain,
( e22 = e23
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_demodulation,[],[f699,f703]) ).
fof(f2705,plain,
( $false
| ~ spl42_9
| ~ spl42_11 ),
inference(forward_subsumption_resolution,[],[f2699,f491]) ).
fof(f2706,plain,
( ~ spl42_9
| ~ spl42_11 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2707,plain,
( $false
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_subsumption_resolution,[],[f2700,f490]) ).
fof(f2708,plain,
( ~ spl42_13
| ~ spl42_14 ),
inference(avatar_contradiction_clause,[],[f2707]) ).
fof(f2727,plain,
( e21 = e22
| ~ spl42_2
| ~ spl42_3 ),
inference(superposition,[],[f656,f652]) ).
fof(f2733,plain,
( $false
| ~ spl42_2
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f2727,f492]) ).
fof(f2734,plain,
( ~ spl42_2
| ~ spl42_3 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2746,plain,
( e20 = e22
| ~ spl42_18
| ~ spl42_20 ),
inference(superposition,[],[f729,f721]) ).
fof(f2747,plain,
( e20 = e22
| ~ spl42_18
| ~ spl42_20 ),
inference(superposition,[],[f721,f729]) ).
fof(f2750,plain,
( $false
| ~ spl42_18
| ~ spl42_20 ),
inference(forward_subsumption_resolution,[],[f2747,f494]) ).
fof(f2751,plain,
( ~ spl42_18
| ~ spl42_20 ),
inference(avatar_contradiction_clause,[],[f2750]) ).
fof(f2752,plain,
( $false
| ~ spl42_18
| ~ spl42_20 ),
inference(forward_subsumption_resolution,[],[f2746,f494]) ).
fof(f2753,plain,
( ~ spl42_18
| ~ spl42_20 ),
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2762,plain,
( e20 = e21
| ~ spl42_175
| ~ spl42_190 ),
inference(superposition,[],[f1803,f1703]) ).
fof(f2767,plain,
( $false
| ~ spl42_175
| ~ spl42_190 ),
inference(forward_subsumption_resolution,[],[f2762,f495]) ).
fof(f2768,plain,
( ~ spl42_175
| ~ spl42_190 ),
inference(avatar_contradiction_clause,[],[f2767]) ).
fof(f2778,plain,
( e21 = e22
| ~ spl42_34
| ~ spl42_35 ),
inference(superposition,[],[f794,f790]) ).
fof(f2782,plain,
( $false
| ~ spl42_34
| ~ spl42_35 ),
inference(forward_subsumption_resolution,[],[f2778,f492]) ).
fof(f2783,plain,
( ~ spl42_34
| ~ spl42_35 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2784,plain,
( e20 = e21
| ~ spl42_31
| ~ spl42_32 ),
inference(forward_demodulation,[],[f776,f780]) ).
fof(f2786,plain,
( e20 = e22
| ~ spl42_171
| ~ spl42_190 ),
inference(forward_demodulation,[],[f1683,f1803]) ).
fof(f2787,plain,
( e20 = e22
| ~ spl42_183
| ~ spl42_191 ),
inference(forward_demodulation,[],[f1743,f1815]) ).
fof(f2790,plain,
( $false
| ~ spl42_31
| ~ spl42_32 ),
inference(forward_subsumption_resolution,[],[f2784,f495]) ).
fof(f2791,plain,
( ~ spl42_31
| ~ spl42_32 ),
inference(avatar_contradiction_clause,[],[f2790]) ).
fof(f2792,plain,
( $false
| ~ spl42_171
| ~ spl42_190 ),
inference(forward_subsumption_resolution,[],[f2786,f494]) ).
fof(f2793,plain,
( ~ spl42_171
| ~ spl42_190 ),
inference(avatar_contradiction_clause,[],[f2792]) ).
fof(f2794,plain,
( $false
| ~ spl42_183
| ~ spl42_191 ),
inference(forward_subsumption_resolution,[],[f2787,f494]) ).
fof(f2795,plain,
( ~ spl42_183
| ~ spl42_191 ),
inference(avatar_contradiction_clause,[],[f2794]) ).
fof(f2796,plain,
( e20 = e21
| ~ spl42_23
| ~ spl42_24 ),
inference(forward_demodulation,[],[f742,f746]) ).
fof(f2803,plain,
( $false
| ~ spl42_23
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f2796,f495]) ).
fof(f2804,plain,
( ~ spl42_23
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f2803]) ).
fof(f2808,plain,
( e20 = e21
| ~ spl42_187
| ~ spl42_191 ),
inference(forward_demodulation,[],[f1763,f1815]) ).
fof(f2809,plain,
( $false
| ~ spl42_187
| ~ spl42_191 ),
inference(forward_subsumption_resolution,[],[f2808,f495]) ).
fof(f2810,plain,
( ~ spl42_187
| ~ spl42_191 ),
inference(avatar_contradiction_clause,[],[f2809]) ).
fof(f2817,plain,
( e22 = e23
| ~ spl42_9
| ~ spl42_10 ),
inference(superposition,[],[f686,f682]) ).
fof(f2823,plain,
( $false
| ~ spl42_9
| ~ spl42_10 ),
inference(forward_subsumption_resolution,[],[f2817,f490]) ).
fof(f2824,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(avatar_contradiction_clause,[],[f2823]) ).
fof(f2831,plain,
( e21 = e22
| ~ spl42_171
| ~ spl42_175 ),
inference(superposition,[],[f1703,f1683]) ).
fof(f2837,plain,
( $false
| ~ spl42_171
| ~ spl42_175 ),
inference(forward_subsumption_resolution,[],[f2831,f492]) ).
fof(f2838,plain,
( ~ spl42_171
| ~ spl42_175 ),
inference(avatar_contradiction_clause,[],[f2837]) ).
fof(f2839,plain,
( e21 = e22
| ~ spl42_30
| ~ spl42_31 ),
inference(forward_demodulation,[],[f772,f776]) ).
fof(f2843,plain,
( $false
| ~ spl42_30
| ~ spl42_31 ),
inference(forward_subsumption_resolution,[],[f2839,f492]) ).
fof(f2844,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2848,plain,
( e20 = e23
| ~ spl42_25
| ~ spl42_28 ),
inference(superposition,[],[f763,f751]) ).
fof(f2854,plain,
( $false
| ~ spl42_25
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f2848,f493]) ).
fof(f2855,plain,
( ~ spl42_25
| ~ spl42_28 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2859,plain,
( e20 = e22
| ~ spl42_30
| ~ spl42_32 ),
inference(superposition,[],[f780,f772]) ).
fof(f2865,plain,
( $false
| ~ spl42_30
| ~ spl42_32 ),
inference(forward_subsumption_resolution,[],[f2859,f494]) ).
fof(f2866,plain,
( ~ spl42_30
| ~ spl42_32 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f2867,plain,
( e22 = e23
| ~ spl42_29
| ~ spl42_30 ),
inference(forward_demodulation,[],[f768,f772]) ).
fof(f2869,plain,
( $false
| ~ spl42_29
| ~ spl42_30 ),
inference(forward_subsumption_resolution,[],[f2867,f490]) ).
fof(f2870,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(avatar_contradiction_clause,[],[f2869]) ).
fof(f2873,plain,
( e20 = e21
| ~ spl42_27
| ~ spl42_28 ),
inference(forward_demodulation,[],[f759,f763]) ).
fof(f2875,plain,
( e22 = e23
| ~ spl42_37
| ~ spl42_38 ),
inference(forward_demodulation,[],[f803,f807]) ).
fof(f2893,plain,
( $false
| ~ spl42_27
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f2873,f495]) ).
fof(f2894,plain,
( ~ spl42_27
| ~ spl42_28 ),
inference(avatar_contradiction_clause,[],[f2893]) ).
fof(f2895,plain,
( $false
| ~ spl42_37
| ~ spl42_38 ),
inference(forward_subsumption_resolution,[],[f2875,f490]) ).
fof(f2896,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(avatar_contradiction_clause,[],[f2895]) ).
fof(f2910,plain,
( e22 = e23
| ~ spl42_5
| ~ spl42_6 ),
inference(superposition,[],[f669,f665]) ).
fof(f2914,plain,
( $false
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f2910,f490]) ).
fof(f2915,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2930,plain,
( e20 = e23
| ~ spl42_9
| ~ spl42_12 ),
inference(superposition,[],[f694,f682]) ).
fof(f2935,plain,
( $false
| ~ spl42_9
| ~ spl42_12 ),
inference(forward_subsumption_resolution,[],[f2930,f493]) ).
fof(f2936,plain,
( ~ spl42_9
| ~ spl42_12 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
fof(f2939,plain,
( e21 = e22
| ~ spl42_22
| ~ spl42_23 ),
inference(forward_demodulation,[],[f738,f742]) ).
fof(f2951,plain,
( $false
| ~ spl42_22
| ~ spl42_23 ),
inference(forward_subsumption_resolution,[],[f2939,f492]) ).
fof(f2952,plain,
( ~ spl42_22
| ~ spl42_23 ),
inference(avatar_contradiction_clause,[],[f2951]) ).
fof(f2977,plain,
( e20 = e23
| ~ spl42_41
| ~ spl42_44 ),
inference(forward_demodulation,[],[f820,f832]) ).
fof(f2979,plain,
( $false
| ~ spl42_41
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f2977,f493]) ).
fof(f2980,plain,
( ~ spl42_41
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2981,plain,
( e21 = e23
| ~ spl42_1
| ~ spl42_3 ),
inference(forward_demodulation,[],[f648,f656]) ).
fof(f2983,plain,
( $false
| ~ spl42_1
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f2981,f491]) ).
fof(f2984,plain,
( ~ spl42_1
| ~ spl42_3 ),
inference(avatar_contradiction_clause,[],[f2983]) ).
fof(f3013,plain,
( e22 = e23
| ~ spl42_45
| ~ spl42_46 ),
inference(superposition,[],[f841,f837]) ).
fof(f3017,plain,
( $false
| ~ spl42_45
| ~ spl42_46 ),
inference(forward_subsumption_resolution,[],[f3013,f490]) ).
fof(f3018,plain,
( ~ spl42_45
| ~ spl42_46 ),
inference(avatar_contradiction_clause,[],[f3017]) ).
fof(f3020,plain,
( e21 = e23
| ~ spl42_45
| ~ spl42_47 ),
inference(superposition,[],[f845,f837]) ).
fof(f3024,plain,
( $false
| ~ spl42_45
| ~ spl42_47 ),
inference(forward_subsumption_resolution,[],[f3020,f491]) ).
fof(f3025,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(avatar_contradiction_clause,[],[f3024]) ).
fof(f3055,plain,
( e22 = e23
| ~ spl42_1
| ~ spl42_2 ),
inference(forward_demodulation,[],[f648,f652]) ).
fof(f3067,plain,
( $false
| ~ spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f3055,f490]) ).
fof(f3068,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(avatar_contradiction_clause,[],[f3067]) ).
fof(f3072,plain,
( e20 = e22
| ~ spl42_22
| ~ spl42_24 ),
inference(forward_demodulation,[],[f738,f746]) ).
fof(f3087,plain,
( $false
| ~ spl42_22
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f3072,f494]) ).
fof(f3088,plain,
( ~ spl42_22
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f3087]) ).
fof(f3114,plain,
( e20 = e22
| ~ spl42_159
| ~ spl42_189 ),
inference(superposition,[],[f1791,f1623]) ).
fof(f3119,plain,
( $false
| ~ spl42_159
| ~ spl42_189 ),
inference(forward_subsumption_resolution,[],[f3114,f494]) ).
fof(f3120,plain,
( ~ spl42_159
| ~ spl42_189 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3149,plain,
( e21 = e23
| ~ spl42_17
| ~ spl42_19 ),
inference(superposition,[],[f725,f717]) ).
fof(f3150,plain,
( e21 = e23
| ~ spl42_17
| ~ spl42_19 ),
inference(superposition,[],[f717,f725]) ).
fof(f3152,plain,
( $false
| ~ spl42_17
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f3150,f491]) ).
fof(f3153,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3154,plain,
( $false
| ~ spl42_17
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f3149,f491]) ).
fof(f3155,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f3154]) ).
fof(f3158,plain,
( e21 = e22
| ~ spl42_18
| ~ spl42_19 ),
inference(forward_demodulation,[],[f721,f725]) ).
fof(f3164,plain,
( e20 = e21
| ~ spl42_163
| ~ spl42_189 ),
inference(forward_demodulation,[],[f1643,f1791]) ).
fof(f3174,plain,
( $false
| ~ spl42_18
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f3158,f492]) ).
fof(f3175,plain,
( ~ spl42_18
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f3174]) ).
fof(f3176,plain,
( $false
| ~ spl42_163
| ~ spl42_189 ),
inference(forward_subsumption_resolution,[],[f3164,f495]) ).
fof(f3177,plain,
( ~ spl42_163
| ~ spl42_189 ),
inference(avatar_contradiction_clause,[],[f3176]) ).
fof(f3192,plain,
( e20 = e23
| ~ spl42_13
| ~ spl42_16 ),
inference(superposition,[],[f711,f699]) ).
fof(f3196,plain,
( $false
| ~ spl42_13
| ~ spl42_16 ),
inference(forward_subsumption_resolution,[],[f3192,f493]) ).
fof(f3197,plain,
( ~ spl42_13
| ~ spl42_16 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3239,plain,
( e21 = e22
| ~ spl42_38
| ~ spl42_39 ),
inference(superposition,[],[f811,f807]) ).
fof(f3244,plain,
( $false
| ~ spl42_38
| ~ spl42_39 ),
inference(forward_subsumption_resolution,[],[f3239,f492]) ).
fof(f3245,plain,
( ~ spl42_38
| ~ spl42_39 ),
inference(avatar_contradiction_clause,[],[f3244]) ).
fof(f3251,plain,
( e20 = e22
| ~ spl42_46
| ~ spl42_48 ),
inference(forward_demodulation,[],[f841,f849]) ).
fof(f3273,plain,
( $false
| ~ spl42_46
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f3251,f494]) ).
fof(f3274,plain,
( ~ spl42_46
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f3273]) ).
fof(f3310,plain,
( e21 = e22
| ~ spl42_159
| ~ spl42_163 ),
inference(superposition,[],[f1643,f1623]) ).
fof(f3311,plain,
( e21 = e22
| ~ spl42_159
| ~ spl42_163 ),
inference(superposition,[],[f1623,f1643]) ).
fof(f3313,plain,
( $false
| ~ spl42_159
| ~ spl42_163 ),
inference(forward_subsumption_resolution,[],[f3311,f492]) ).
fof(f3314,plain,
( ~ spl42_159
| ~ spl42_163 ),
inference(avatar_contradiction_clause,[],[f3313]) ).
fof(f3315,plain,
( $false
| ~ spl42_159
| ~ spl42_163 ),
inference(forward_subsumption_resolution,[],[f3310,f492]) ).
fof(f3316,plain,
( ~ spl42_159
| ~ spl42_163 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3329,plain,
( e21 = e22
| ~ spl42_183
| ~ spl42_187 ),
inference(superposition,[],[f1763,f1743]) ).
fof(f3334,plain,
( $false
| ~ spl42_183
| ~ spl42_187 ),
inference(forward_subsumption_resolution,[],[f3329,f492]) ).
fof(f3335,plain,
( ~ spl42_183
| ~ spl42_187 ),
inference(avatar_contradiction_clause,[],[f3334]) ).
fof(f3346,plain,
( e21 = e23
| ~ spl42_5
| ~ spl42_7 ),
inference(superposition,[],[f673,f665]) ).
fof(f3350,plain,
( $false
| ~ spl42_5
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f3346,f491]) ).
fof(f3351,plain,
( ~ spl42_5
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f3350]) ).
fof(f3371,plain,
( e10 = e12
| ~ spl42_66
| ~ spl42_68 ),
inference(superposition,[],[f1083,f1075]) ).
fof(f3375,plain,
( $false
| ~ spl42_66
| ~ spl42_68 ),
inference(forward_subsumption_resolution,[],[f3371,f176]) ).
fof(f3376,plain,
( ~ spl42_66
| ~ spl42_68 ),
inference(avatar_contradiction_clause,[],[f3375]) ).
fof(f3385,plain,
( e12 = e13
| ~ spl42_73
| ~ spl42_74 ),
inference(superposition,[],[f1109,f1105]) ).
fof(f3389,plain,
( $false
| ~ spl42_73
| ~ spl42_74 ),
inference(forward_subsumption_resolution,[],[f3385,f172]) ).
fof(f3390,plain,
( ~ spl42_73
| ~ spl42_74 ),
inference(avatar_contradiction_clause,[],[f3389]) ).
fof(f3392,plain,
( e11 = e13
| ~ spl42_73
| ~ spl42_75 ),
inference(superposition,[],[f1113,f1105]) ).
fof(f3396,plain,
( $false
| ~ spl42_73
| ~ spl42_75 ),
inference(forward_subsumption_resolution,[],[f3392,f173]) ).
fof(f3397,plain,
( ~ spl42_73
| ~ spl42_75 ),
inference(avatar_contradiction_clause,[],[f3396]) ).
fof(f3399,plain,
( e11 = e12
| ~ spl42_66
| ~ spl42_67 ),
inference(superposition,[],[f1079,f1075]) ).
fof(f3403,plain,
( $false
| ~ spl42_66
| ~ spl42_67 ),
inference(forward_subsumption_resolution,[],[f3399,f174]) ).
fof(f3404,plain,
( ~ spl42_66
| ~ spl42_67 ),
inference(avatar_contradiction_clause,[],[f3403]) ).
fof(f3405,plain,
( e10 = e11
| ~ spl42_63
| ~ spl42_64 ),
inference(forward_demodulation,[],[f1062,f1066]) ).
fof(f3408,plain,
( $false
| ~ spl42_63
| ~ spl42_64 ),
inference(forward_subsumption_resolution,[],[f3405,f177]) ).
fof(f3409,plain,
( ~ spl42_63
| ~ spl42_64 ),
inference(avatar_contradiction_clause,[],[f3408]) ).
fof(f3425,plain,
( e12 = e13
| ~ spl42_109
| ~ spl42_110 ),
inference(forward_demodulation,[],[f1258,f1262]) ).
fof(f3426,plain,
( $false
| ~ spl42_109
| ~ spl42_110 ),
inference(forward_subsumption_resolution,[],[f3425,f172]) ).
fof(f3427,plain,
( ~ spl42_109
| ~ spl42_110 ),
inference(avatar_contradiction_clause,[],[f3426]) ).
fof(f3428,plain,
( e10 = e13
| ~ spl42_93
| ~ spl42_96 ),
inference(forward_demodulation,[],[f1190,f1202]) ).
fof(f3430,plain,
( $false
| ~ spl42_93
| ~ spl42_96 ),
inference(forward_subsumption_resolution,[],[f3428,f175]) ).
fof(f3431,plain,
( ~ spl42_93
| ~ spl42_96 ),
inference(avatar_contradiction_clause,[],[f3430]) ).
fof(f3474,plain,
( e11 = e12
| ~ spl42_78
| ~ spl42_79 ),
inference(superposition,[],[f1130,f1126]) ).
fof(f3478,plain,
( $false
| ~ spl42_78
| ~ spl42_79 ),
inference(forward_subsumption_resolution,[],[f3474,f174]) ).
fof(f3479,plain,
( ~ spl42_78
| ~ spl42_79 ),
inference(avatar_contradiction_clause,[],[f3478]) ).
fof(f3482,plain,
( e10 = e11
| ~ spl42_79
| ~ spl42_80 ),
inference(superposition,[],[f1134,f1130]) ).
fof(f3486,plain,
( $false
| ~ spl42_79
| ~ spl42_80 ),
inference(forward_subsumption_resolution,[],[f3482,f177]) ).
fof(f3487,plain,
( ~ spl42_79
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f3486]) ).
fof(f3491,plain,
( e10 = e13
| ~ spl42_85
| ~ spl42_88 ),
inference(superposition,[],[f1156,f1168]) ).
fof(f3492,plain,
( $false
| ~ spl42_85
| ~ spl42_88 ),
inference(forward_subsumption_resolution,[],[f3491,f175]) ).
fof(f3493,plain,
( ~ spl42_85
| ~ spl42_88 ),
inference(avatar_contradiction_clause,[],[f3492]) ).
fof(f3512,plain,
( e10 = e11
| ~ spl42_99
| ~ spl42_100 ),
inference(superposition,[],[f1219,f1215]) ).
fof(f3513,plain,
( e10 = e11
| ~ spl42_99
| ~ spl42_100 ),
inference(superposition,[],[f1215,f1219]) ).
fof(f3514,plain,
( $false
| ~ spl42_99
| ~ spl42_100 ),
inference(forward_subsumption_resolution,[],[f3513,f177]) ).
fof(f3515,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
fof(f3516,plain,
( $false
| ~ spl42_99
| ~ spl42_100 ),
inference(forward_subsumption_resolution,[],[f3512,f177]) ).
fof(f3517,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(avatar_contradiction_clause,[],[f3516]) ).
fof(f3520,plain,
( e10 = e12
| ~ spl42_102
| ~ spl42_104 ),
inference(superposition,[],[f1236,f1228]) ).
fof(f3525,plain,
( $false
| ~ spl42_102
| ~ spl42_104 ),
inference(forward_subsumption_resolution,[],[f3520,f176]) ).
fof(f3526,plain,
( ~ spl42_102
| ~ spl42_104 ),
inference(avatar_contradiction_clause,[],[f3525]) ).
fof(f3527,plain,
( e11 = e13
| ~ spl42_77
| ~ spl42_79 ),
inference(forward_demodulation,[],[f1122,f1130]) ).
fof(f3529,plain,
( $false
| ~ spl42_77
| ~ spl42_79 ),
inference(forward_subsumption_resolution,[],[f3527,f173]) ).
fof(f3530,plain,
( ~ spl42_77
| ~ spl42_79 ),
inference(avatar_contradiction_clause,[],[f3529]) ).
fof(f3545,plain,
( e11 = e12
| ~ spl42_70
| ~ spl42_71 ),
inference(forward_demodulation,[],[f1092,f1096]) ).
fof(f3551,plain,
( $false
| ~ spl42_70
| ~ spl42_71 ),
inference(forward_subsumption_resolution,[],[f3545,f174]) ).
fof(f3552,plain,
( ~ spl42_70
| ~ spl42_71 ),
inference(avatar_contradiction_clause,[],[f3551]) ).
fof(f3581,plain,
( e12 = e13
| ~ spl42_93
| ~ spl42_94 ),
inference(superposition,[],[f1194,f1190]) ).
fof(f3585,plain,
( $false
| ~ spl42_93
| ~ spl42_94 ),
inference(forward_subsumption_resolution,[],[f3581,f172]) ).
fof(f3586,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(avatar_contradiction_clause,[],[f3585]) ).
fof(f3596,plain,
( e11 = e12
| ~ spl42_106
| ~ spl42_107 ),
inference(superposition,[],[f1249,f1245]) ).
fof(f3600,plain,
( $false
| ~ spl42_106
| ~ spl42_107 ),
inference(forward_subsumption_resolution,[],[f3596,f174]) ).
fof(f3601,plain,
( ~ spl42_106
| ~ spl42_107 ),
inference(avatar_contradiction_clause,[],[f3600]) ).
fof(f3603,plain,
( e10 = e11
| ~ spl42_123
| ~ spl42_124 ),
inference(forward_demodulation,[],[f1317,f1321]) ).
fof(f3607,plain,
( $false
| ~ spl42_123
| ~ spl42_124 ),
inference(forward_subsumption_resolution,[],[f3603,f177]) ).
fof(f3608,plain,
( ~ spl42_123
| ~ spl42_124 ),
inference(avatar_contradiction_clause,[],[f3607]) ).
fof(f3612,plain,
( e10 = e12
| ~ spl42_106
| ~ spl42_108 ),
inference(superposition,[],[f1253,f1245]) ).
fof(f3616,plain,
( $false
| ~ spl42_106
| ~ spl42_108 ),
inference(forward_subsumption_resolution,[],[f3612,f176]) ).
fof(f3617,plain,
( ~ spl42_106
| ~ spl42_108 ),
inference(avatar_contradiction_clause,[],[f3616]) ).
fof(f3624,plain,
( e10 = e11
| ~ spl42_107
| ~ spl42_108 ),
inference(forward_demodulation,[],[f1249,f1253]) ).
fof(f3625,plain,
( $false
| ~ spl42_107
| ~ spl42_108 ),
inference(forward_subsumption_resolution,[],[f3624,f177]) ).
fof(f3626,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
fof(f3638,plain,
( e10 = e12
| ~ spl42_62
| ~ spl42_64 ),
inference(forward_demodulation,[],[f1058,f1066]) ).
fof(f3639,plain,
( e12 = e13
| ~ spl42_65
| ~ spl42_66 ),
inference(forward_demodulation,[],[f1071,f1075]) ).
fof(f3640,plain,
( e10 = e12
| ~ spl42_86
| ~ spl42_88 ),
inference(forward_demodulation,[],[f1160,f1168]) ).
fof(f3641,plain,
( e10 = e13
| ~ spl42_97
| ~ spl42_100 ),
inference(forward_demodulation,[],[f1207,f1219]) ).
fof(f3651,plain,
( $false
| ~ spl42_62
| ~ spl42_64 ),
inference(forward_subsumption_resolution,[],[f3638,f176]) ).
fof(f3652,plain,
( ~ spl42_62
| ~ spl42_64 ),
inference(avatar_contradiction_clause,[],[f3651]) ).
fof(f3653,plain,
( $false
| ~ spl42_65
| ~ spl42_66 ),
inference(forward_subsumption_resolution,[],[f3639,f172]) ).
fof(f3654,plain,
( ~ spl42_65
| ~ spl42_66 ),
inference(avatar_contradiction_clause,[],[f3653]) ).
fof(f3655,plain,
( $false
| ~ spl42_86
| ~ spl42_88 ),
inference(forward_subsumption_resolution,[],[f3640,f176]) ).
fof(f3656,plain,
( ~ spl42_86
| ~ spl42_88 ),
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3657,plain,
( $false
| ~ spl42_97
| ~ spl42_100 ),
inference(forward_subsumption_resolution,[],[f3641,f175]) ).
fof(f3658,plain,
( ~ spl42_97
| ~ spl42_100 ),
inference(avatar_contradiction_clause,[],[f3657]) ).
fof(f3674,plain,
( e10 = e12
| ~ spl42_90
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1177,f1185]) ).
fof(f3680,plain,
( $false
| ~ spl42_90
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f3674,f176]) ).
fof(f3681,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
fof(f3709,plain,
( e10 = e13
| ~ spl42_73
| ~ spl42_76 ),
inference(superposition,[],[f1117,f1105]) ).
fof(f3713,plain,
( $false
| ~ spl42_73
| ~ spl42_76 ),
inference(forward_subsumption_resolution,[],[f3709,f175]) ).
fof(f3714,plain,
( ~ spl42_73
| ~ spl42_76 ),
inference(avatar_contradiction_clause,[],[f3713]) ).
fof(f3721,plain,
( e10 = e13
| ~ spl42_89
| ~ spl42_92 ),
inference(superposition,[],[f1173,f1185]) ).
fof(f3722,plain,
( $false
| ~ spl42_89
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f3721,f175]) ).
fof(f3723,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f3722]) ).
fof(f3726,plain,
( e12 = e13
| ~ spl42_85
| ~ spl42_86 ),
inference(forward_demodulation,[],[f1156,f1160]) ).
fof(f3730,plain,
( $false
| ~ spl42_85
| ~ spl42_86 ),
inference(forward_subsumption_resolution,[],[f3726,f172]) ).
fof(f3731,plain,
( ~ spl42_85
| ~ spl42_86 ),
inference(avatar_contradiction_clause,[],[f3730]) ).
fof(f3738,plain,
( e10 = e12
| ~ spl42_98
| ~ spl42_100 ),
inference(forward_demodulation,[],[f1211,f1219]) ).
fof(f3747,plain,
( $false
| ~ spl42_98
| ~ spl42_100 ),
inference(forward_subsumption_resolution,[],[f3738,f176]) ).
fof(f3748,plain,
( ~ spl42_98
| ~ spl42_100 ),
inference(avatar_contradiction_clause,[],[f3747]) ).
fof(f3791,plain,
( e12 = e13
| ~ spl42_89
| ~ spl42_90 ),
inference(superposition,[],[f1177,f1173]) ).
fof(f3795,plain,
( $false
| ~ spl42_89
| ~ spl42_90 ),
inference(forward_subsumption_resolution,[],[f3791,f172]) ).
fof(f3796,plain,
( ~ spl42_89
| ~ spl42_90 ),
inference(avatar_contradiction_clause,[],[f3795]) ).
fof(f3804,plain,
( e11 = e12
| ~ spl42_98
| ~ spl42_99 ),
inference(superposition,[],[f1215,f1211]) ).
fof(f3808,plain,
( $false
| ~ spl42_98
| ~ spl42_99 ),
inference(forward_subsumption_resolution,[],[f3804,f174]) ).
fof(f3809,plain,
( ~ spl42_98
| ~ spl42_99 ),
inference(avatar_contradiction_clause,[],[f3808]) ).
fof(f3820,plain,
( e11 = e13
| ~ spl42_85
| ~ spl42_87 ),
inference(superposition,[],[f1164,f1156]) ).
fof(f3825,plain,
( $false
| ~ spl42_85
| ~ spl42_87 ),
inference(forward_subsumption_resolution,[],[f3820,f173]) ).
fof(f3826,plain,
( ~ spl42_85
| ~ spl42_87 ),
inference(avatar_contradiction_clause,[],[f3825]) ).
fof(f3840,plain,
( e10 = e13
| ~ spl42_113
| ~ spl42_116 ),
inference(superposition,[],[f1287,f1275]) ).
fof(f3841,plain,
( e10 = e13
| ~ spl42_113
| ~ spl42_116 ),
inference(superposition,[],[f1275,f1287]) ).
fof(f3842,plain,
( $false
| ~ spl42_113
| ~ spl42_116 ),
inference(forward_subsumption_resolution,[],[f3841,f175]) ).
fof(f3843,plain,
( ~ spl42_113
| ~ spl42_116 ),
inference(avatar_contradiction_clause,[],[f3842]) ).
fof(f3844,plain,
( $false
| ~ spl42_113
| ~ spl42_116 ),
inference(forward_subsumption_resolution,[],[f3840,f175]) ).
fof(f3845,plain,
( ~ spl42_113
| ~ spl42_116 ),
inference(avatar_contradiction_clause,[],[f3844]) ).
fof(f3846,plain,
( e12 = e13
| ~ spl42_97
| ~ spl42_98 ),
inference(forward_demodulation,[],[f1207,f1211]) ).
fof(f3854,plain,
( $false
| ~ spl42_97
| ~ spl42_98 ),
inference(forward_subsumption_resolution,[],[f3846,f172]) ).
fof(f3855,plain,
( ~ spl42_97
| ~ spl42_98 ),
inference(avatar_contradiction_clause,[],[f3854]) ).
fof(f3860,plain,
( e11 = e13
| ~ spl42_65
| ~ spl42_67 ),
inference(forward_demodulation,[],[f1071,f1079]) ).
fof(f3862,plain,
( $false
| ~ spl42_65
| ~ spl42_67 ),
inference(forward_subsumption_resolution,[],[f3860,f173]) ).
fof(f3863,plain,
( ~ spl42_65
| ~ spl42_67 ),
inference(avatar_contradiction_clause,[],[f3862]) ).
fof(f3902,plain,
( e11 = e12
| ~ spl42_90
| ~ spl42_91 ),
inference(superposition,[],[f1181,f1177]) ).
fof(f3907,plain,
( $false
| ~ spl42_90
| ~ spl42_91 ),
inference(forward_subsumption_resolution,[],[f3902,f174]) ).
fof(f3908,plain,
( ~ spl42_90
| ~ spl42_91 ),
inference(avatar_contradiction_clause,[],[f3907]) ).
fof(f3914,plain,
( e11 = e12
| ~ spl42_102
| ~ spl42_103 ),
inference(superposition,[],[f1232,f1228]) ).
fof(f3918,plain,
( $false
| ~ spl42_102
| ~ spl42_103 ),
inference(forward_subsumption_resolution,[],[f3914,f174]) ).
fof(f3919,plain,
( ~ spl42_102
| ~ spl42_103 ),
inference(avatar_contradiction_clause,[],[f3918]) ).
fof(f3920,plain,
( e10 = e12
| ~ spl42_82
| ~ spl42_84 ),
inference(forward_demodulation,[],[f1143,f1151]) ).
fof(f3922,plain,
( $false
| ~ spl42_82
| ~ spl42_84 ),
inference(forward_subsumption_resolution,[],[f3920,f176]) ).
fof(f3923,plain,
( ~ spl42_82
| ~ spl42_84 ),
inference(avatar_contradiction_clause,[],[f3922]) ).
fof(f3925,plain,
( e11 = e13
| ~ spl42_97
| ~ spl42_99 ),
inference(forward_demodulation,[],[f1207,f1215]) ).
fof(f3931,plain,
( $false
| ~ spl42_97
| ~ spl42_99 ),
inference(forward_subsumption_resolution,[],[f3925,f173]) ).
fof(f3932,plain,
( ~ spl42_97
| ~ spl42_99 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3946,plain,
( e11 = e13
| ~ spl42_113
| ~ spl42_115 ),
inference(superposition,[],[f1283,f1275]) ).
fof(f3947,plain,
( e11 = e13
| ~ spl42_113
| ~ spl42_115 ),
inference(superposition,[],[f1275,f1283]) ).
fof(f3948,plain,
( $false
| ~ spl42_113
| ~ spl42_115 ),
inference(forward_subsumption_resolution,[],[f3947,f173]) ).
fof(f3949,plain,
( ~ spl42_113
| ~ spl42_115 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f3950,plain,
( $false
| ~ spl42_113
| ~ spl42_115 ),
inference(forward_subsumption_resolution,[],[f3946,f173]) ).
fof(f3951,plain,
( ~ spl42_113
| ~ spl42_115 ),
inference(avatar_contradiction_clause,[],[f3950]) ).
fof(f3974,plain,
e20 = h4(e10),
inference(superposition,[],[f376,f606]) ).
fof(f3975,plain,
spl42_188,
inference(avatar_split_clause,[],[f3974,f1777]) ).
fof(f3983,plain,
( e20 = e21
| ~ spl42_151
| ~ spl42_188 ),
inference(superposition,[],[f1779,f1583]) ).
fof(f3988,plain,
( $false
| ~ spl42_151
| ~ spl42_188 ),
inference(forward_subsumption_resolution,[],[f3983,f495]) ).
fof(f3989,plain,
( ~ spl42_151
| ~ spl42_188 ),
inference(avatar_contradiction_clause,[],[f3988]) ).
fof(f3990,plain,
( e20 = e23
| ~ spl42_45
| ~ spl42_48 ),
inference(forward_demodulation,[],[f837,f849]) ).
fof(f3996,plain,
( $false
| ~ spl42_45
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f3990,f493]) ).
fof(f3997,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f3996]) ).
fof(f4000,plain,
( e21 = e23
| ~ spl42_167
| ~ spl42_175 ),
inference(forward_demodulation,[],[f1663,f1703]) ).
fof(f4001,plain,
( $false
| ~ spl42_167
| ~ spl42_175 ),
inference(forward_subsumption_resolution,[],[f4000,f491]) ).
fof(f4002,plain,
( ~ spl42_167
| ~ spl42_175 ),
inference(avatar_contradiction_clause,[],[f4001]) ).
fof(f4003,plain,
( e20 = e23
| ~ spl42_143
| ~ spl42_188 ),
inference(forward_demodulation,[],[f1543,f1779]) ).
fof(f4010,plain,
( $false
| ~ spl42_143
| ~ spl42_188 ),
inference(forward_subsumption_resolution,[],[f4003,f493]) ).
fof(f4011,plain,
( ~ spl42_143
| ~ spl42_188 ),
inference(avatar_contradiction_clause,[],[f4010]) ).
fof(f4081,plain,
( e22 = e23
| ~ spl42_41
| ~ spl42_42 ),
inference(superposition,[],[f824,f820]) ).
fof(f4086,plain,
( $false
| ~ spl42_41
| ~ spl42_42 ),
inference(forward_subsumption_resolution,[],[f4081,f490]) ).
fof(f4087,plain,
( ~ spl42_41
| ~ spl42_42 ),
inference(avatar_contradiction_clause,[],[f4086]) ).
fof(f4099,plain,
( e22 != h3(e10)
| ~ spl42_22 ),
inference(superposition,[],[f889,f738]) ).
fof(f4127,plain,
( e22 = op2(e20,e23)
| ~ spl42_188 ),
inference(superposition,[],[f1049,f1779]) ).
fof(f4128,plain,
( $false
| spl42_38
| ~ spl42_188 ),
inference(forward_subsumption_resolution,[],[f4127,f806]) ).
fof(f4129,plain,
( spl42_38
| ~ spl42_188 ),
inference(avatar_contradiction_clause,[],[f4128]) ).
fof(f4157,plain,
( e23 != h2(e10)
| ~ spl42_25 ),
inference(superposition,[],[f890,f751]) ).
fof(f4161,plain,
( e22 != h3(e10)
| ~ spl42_30 ),
inference(superposition,[],[f900,f772]) ).
fof(f4175,plain,
( e12 = op1(e10,e13)
| ~ spl42_64 ),
inference(superposition,[],[f178,f1066]) ).
fof(f4176,plain,
( spl42_110
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f4175,f1064,f1260]) ).
fof(f4256,plain,
( e11 != op1(e11,e13)
| ~ spl42_79 ),
inference(superposition,[],[f304,f1130]) ).
fof(f4294,plain,
( e21 != op2(e22,e20)
| ~ spl42_15 ),
inference(superposition,[],[f505,f707]) ).
fof(f4298,plain,
( e22 != op2(e21,e20)
| ~ spl42_30 ),
inference(superposition,[],[f512,f772]) ).
fof(f4320,plain,
( e22 != op2(e21,e20)
| ~ spl42_22 ),
inference(superposition,[],[f540,f738]) ).
fof(f4324,plain,
( op2(e21,e21) = h2(e11)
| ~ spl42_173 ),
inference(superposition,[],[f642,f1693]) ).
fof(f4325,plain,
( h2(e10) = h2(e11)
| ~ spl42_173 ),
inference(forward_demodulation,[],[f4324,f598]) ).
fof(f4326,plain,
( e20 = h2(e11)
| ~ spl42_173
| ~ spl42_190 ),
inference(forward_demodulation,[],[f4325,f1803]) ).
fof(f4327,plain,
( $false
| ~ spl42_173
| ~ spl42_190
| spl42_230 ),
inference(forward_subsumption_resolution,[],[f4326,f2211]) ).
fof(f4328,plain,
( ~ spl42_173
| ~ spl42_190
| spl42_230 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4365,plain,
( op2(e20,e20) != h2(op1(e11,e11))
| spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f2162,f2210]) ).
fof(f4367,plain,
( op2(e20,e20) != h2(e10)
| ~ spl42_104
| spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4365,f1236]) ).
fof(f4369,plain,
( e20 != op2(e20,e20)
| ~ spl42_104
| ~ spl42_190
| spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4367,f1803]) ).
fof(f4371,plain,
( e20 != h1(e10)
| ~ spl42_104
| ~ spl42_190
| spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4369,f594]) ).
fof(f4372,plain,
( $false
| ~ spl42_104
| ~ spl42_190
| ~ spl42_191
| spl42_218
| ~ spl42_230 ),
inference(forward_subsumption_resolution,[],[f4371,f1815]) ).
fof(f4373,plain,
( ~ spl42_104
| ~ spl42_190
| ~ spl42_191
| spl42_218
| ~ spl42_230 ),
inference(avatar_contradiction_clause,[],[f4372]) ).
fof(f4374,plain,
( op2(e20,e20) = h2(op1(e11,e11))
| ~ spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f2161,f2210]) ).
fof(f4376,plain,
( op2(e20,e20) = h2(e10)
| ~ spl42_104
| ~ spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4374,f1236]) ).
fof(f4378,plain,
( e20 = op2(e20,e20)
| ~ spl42_104
| ~ spl42_190
| ~ spl42_218
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4376,f1803]) ).
fof(f4585,plain,
h2(e12) = op2(h2(e10),e21),
inference(superposition,[],[f596,f598]) ).
fof(f4586,plain,
( op2(e20,e21) = h2(e12)
| ~ spl42_190 ),
inference(forward_demodulation,[],[f4585,f1803]) ).
fof(f4589,plain,
h3(e12) = op2(h3(e10),e22),
inference(superposition,[],[f600,f602]) ).
fof(f4590,plain,
( op2(e20,e22) = h3(e12)
| ~ spl42_189 ),
inference(forward_demodulation,[],[f4589,f1791]) ).
fof(f4591,plain,
( e23 = h3(e12)
| ~ spl42_41
| ~ spl42_189 ),
inference(forward_demodulation,[],[f4590,f820]) ).
fof(f4592,plain,
( spl42_153
| ~ spl42_41
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f4591,f1789,f818,f1592]) ).
fof(f4593,plain,
( op2(e23,e22) = h3(e11)
| ~ spl42_153 ),
inference(superposition,[],[f641,f1593]) ).
fof(f4597,plain,
( e21 = h3(e11)
| ~ spl42_3
| ~ spl42_153 ),
inference(forward_demodulation,[],[f4593,f656]) ).
fof(f4599,plain,
( spl42_162
| ~ spl42_3
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f4597,f1592,f654,f1637]) ).
fof(f4602,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl42_162
| spl42_197 ),
inference(superposition,[],[f2074,f1638]) ).
fof(f4603,plain,
( op2(e23,e21) != h3(op1(e12,e11))
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(forward_demodulation,[],[f4602,f1593]) ).
fof(f4607,plain,
( op2(e23,e21) != h3(e13)
| ~ spl42_85
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(forward_demodulation,[],[f4603,f1156]) ).
fof(f4610,plain,
( e22 != op2(e23,e21)
| ~ spl42_85
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(forward_demodulation,[],[f4607,f603]) ).
fof(f4611,plain,
( $false
| ~ spl42_6
| ~ spl42_85
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(forward_subsumption_resolution,[],[f4610,f669]) ).
fof(f4612,plain,
( ~ spl42_6
| ~ spl42_85
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(avatar_contradiction_clause,[],[f4611]) ).
fof(f4613,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| ~ spl42_153
| spl42_196 ),
inference(forward_demodulation,[],[f2070,f1593]) ).
fof(f4615,plain,
( op2(e23,e23) != h3(e10)
| ~ spl42_84
| ~ spl42_153
| spl42_196 ),
inference(forward_demodulation,[],[f4613,f1151]) ).
fof(f4617,plain,
( e20 != op2(e23,e23)
| ~ spl42_84
| ~ spl42_153
| ~ spl42_189
| spl42_196 ),
inference(forward_demodulation,[],[f4615,f1791]) ).
fof(f4619,plain,
( $false
| ~ spl42_84
| ~ spl42_153
| ~ spl42_189
| spl42_196 ),
inference(forward_subsumption_resolution,[],[f4617,f376]) ).
fof(f4620,plain,
( ~ spl42_84
| ~ spl42_153
| ~ spl42_189
| spl42_196 ),
inference(avatar_contradiction_clause,[],[f4619]) ).
fof(f4623,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| ~ spl42_153
| spl42_199 ),
inference(forward_demodulation,[],[f2082,f1593]) ).
fof(f4625,plain,
( op2(e21,e23) != h3(op1(e11,e12))
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(forward_demodulation,[],[f4623,f1638]) ).
fof(f4627,plain,
( op2(e21,e23) != h3(e12)
| ~ spl42_98
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(forward_demodulation,[],[f4625,f1211]) ).
fof(f4628,plain,
( e23 != op2(e21,e23)
| ~ spl42_98
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(forward_demodulation,[],[f4627,f1593]) ).
fof(f4629,plain,
( $false
| ~ spl42_25
| ~ spl42_98
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(forward_subsumption_resolution,[],[f4628,f751]) ).
fof(f4630,plain,
( ~ spl42_25
| ~ spl42_98
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(avatar_contradiction_clause,[],[f4629]) ).
fof(f4631,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl42_189
| spl42_198 ),
inference(forward_demodulation,[],[f2078,f1791]) ).
fof(f4633,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(forward_demodulation,[],[f4631,f1593]) ).
fof(f4635,plain,
( op2(e23,e20) != h3(e12)
| ~ spl42_90
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(forward_demodulation,[],[f4633,f1177]) ).
fof(f4637,plain,
( e23 != op2(e23,e20)
| ~ spl42_90
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(forward_demodulation,[],[f4635,f1593]) ).
fof(f4639,plain,
( $false
| ~ spl42_9
| ~ spl42_90
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(forward_subsumption_resolution,[],[f4637,f682]) ).
fof(f4640,plain,
( ~ spl42_9
| ~ spl42_90
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(avatar_contradiction_clause,[],[f4639]) ).
fof(f4642,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl42_189
| spl42_201 ),
inference(forward_demodulation,[],[f2090,f1791]) ).
fof(f4644,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(forward_demodulation,[],[f4642,f1638]) ).
fof(f4646,plain,
( op2(e21,e20) != h3(e11)
| ~ spl42_107
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(forward_demodulation,[],[f4644,f1249]) ).
fof(f4648,plain,
( e21 != op2(e21,e20)
| ~ spl42_107
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(forward_demodulation,[],[f4646,f1638]) ).
fof(f4649,plain,
( $false
| ~ spl42_35
| ~ spl42_107
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(forward_subsumption_resolution,[],[f4648,f794]) ).
fof(f4650,plain,
( ~ spl42_35
| ~ spl42_107
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(avatar_contradiction_clause,[],[f4649]) ).
fof(f4661,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl42_162
| spl42_203 ),
inference(forward_demodulation,[],[f2098,f1638]) ).
fof(f4663,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(forward_demodulation,[],[f4661,f1791]) ).
fof(f4665,plain,
( op2(e20,e21) != h3(e11)
| ~ spl42_119
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(forward_demodulation,[],[f4663,f1300]) ).
fof(f4666,plain,
( e21 != op2(e20,e21)
| ~ spl42_119
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(forward_demodulation,[],[f4665,f1638]) ).
fof(f4667,plain,
( $false
| ~ spl42_47
| ~ spl42_119
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(forward_subsumption_resolution,[],[f4666,f845]) ).
fof(f4668,plain,
( ~ spl42_47
| ~ spl42_119
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
fof(f4669,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| ~ spl42_153
| spl42_202 ),
inference(forward_demodulation,[],[f2094,f1593]) ).
fof(f4671,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(forward_demodulation,[],[f4669,f1791]) ).
fof(f4673,plain,
( op2(e20,e23) != h3(e13)
| ~ spl42_113
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(forward_demodulation,[],[f4671,f1275]) ).
fof(f4675,plain,
( e22 != op2(e20,e23)
| ~ spl42_113
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(forward_demodulation,[],[f4673,f603]) ).
fof(f4677,plain,
( $false
| ~ spl42_38
| ~ spl42_113
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(forward_subsumption_resolution,[],[f4675,f807]) ).
fof(f4678,plain,
( ~ spl42_38
| ~ spl42_113
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(avatar_contradiction_clause,[],[f4677]) ).
fof(f4680,plain,
( op2(e20,e22) != h3(op1(e10,e13))
| ~ spl42_189
| spl42_205 ),
inference(forward_demodulation,[],[f2106,f1791]) ).
fof(f4682,plain,
( op2(e20,e22) != h3(e12)
| ~ spl42_110
| ~ spl42_189
| spl42_205 ),
inference(forward_demodulation,[],[f4680,f1262]) ).
fof(f4684,plain,
( e23 != op2(e20,e22)
| ~ spl42_110
| ~ spl42_153
| ~ spl42_189
| spl42_205 ),
inference(forward_demodulation,[],[f4682,f1593]) ).
fof(f4686,plain,
( $false
| ~ spl42_41
| ~ spl42_110
| ~ spl42_153
| ~ spl42_189
| spl42_205 ),
inference(forward_subsumption_resolution,[],[f4684,f820]) ).
fof(f4687,plain,
( ~ spl42_41
| ~ spl42_110
| ~ spl42_153
| ~ spl42_189
| spl42_205 ),
inference(avatar_contradiction_clause,[],[f4686]) ).
fof(f4688,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl42_189
| spl42_204 ),
inference(forward_demodulation,[],[f2102,f1791]) ).
fof(f4690,plain,
( op2(e20,e20) != h3(e10)
| ~ spl42_124
| ~ spl42_189
| spl42_204 ),
inference(forward_demodulation,[],[f4688,f1321]) ).
fof(f4692,plain,
( e20 != op2(e20,e20)
| ~ spl42_124
| ~ spl42_189
| spl42_204 ),
inference(forward_demodulation,[],[f4690,f1791]) ).
fof(f4694,plain,
( $false
| ~ spl42_104
| ~ spl42_124
| ~ spl42_189
| ~ spl42_190
| spl42_204
| ~ spl42_218
| ~ spl42_230 ),
inference(forward_subsumption_resolution,[],[f4692,f4378]) ).
fof(f4695,plain,
( ~ spl42_104
| ~ spl42_124
| ~ spl42_189
| ~ spl42_190
| spl42_204
| ~ spl42_218
| ~ spl42_230 ),
inference(avatar_contradiction_clause,[],[f4694]) ).
fof(f4697,plain,
( h3(e11) != h3(e11)
| ~ spl42_79
| spl42_207 ),
inference(forward_demodulation,[],[f2114,f1130]) ).
fof(f4698,plain,
( $false
| ~ spl42_79
| spl42_207 ),
inference(trivial_inequality_removal,[],[f4697]) ).
fof(f4699,plain,
( ~ spl42_79
| spl42_207 ),
inference(avatar_contradiction_clause,[],[f4698]) ).
fof(f4702,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| ~ spl42_162
| spl42_206 ),
inference(forward_demodulation,[],[f2110,f1638]) ).
fof(f4703,plain,
( op2(e21,e22) != h3(e13)
| ~ spl42_93
| ~ spl42_162
| spl42_206 ),
inference(forward_demodulation,[],[f4702,f1190]) ).
fof(f4704,plain,
( e22 != op2(e21,e22)
| ~ spl42_93
| ~ spl42_162
| spl42_206 ),
inference(forward_demodulation,[],[f4703,f603]) ).
fof(f4705,plain,
( $false
| ~ spl42_30
| ~ spl42_93
| ~ spl42_162
| spl42_206 ),
inference(forward_subsumption_resolution,[],[f4704,f772]) ).
fof(f4706,plain,
( ~ spl42_30
| ~ spl42_93
| ~ spl42_162
| spl42_206 ),
inference(avatar_contradiction_clause,[],[f4705]) ).
fof(f4708,plain,
( op2(e22,e21) != h3(op1(e13,e11))
| ~ spl42_162
| spl42_209 ),
inference(forward_demodulation,[],[f2122,f1638]) ).
fof(f4710,plain,
( op2(e22,e21) != h3(e12)
| ~ spl42_70
| ~ spl42_162
| spl42_209 ),
inference(forward_demodulation,[],[f4708,f1092]) ).
fof(f4712,plain,
( e23 != op2(e22,e21)
| ~ spl42_70
| ~ spl42_153
| ~ spl42_162
| spl42_209 ),
inference(forward_demodulation,[],[f4710,f1593]) ).
fof(f4713,plain,
( $false
| ~ spl42_17
| ~ spl42_70
| ~ spl42_153
| ~ spl42_162
| spl42_209 ),
inference(forward_subsumption_resolution,[],[f4712,f717]) ).
fof(f4714,plain,
( ~ spl42_17
| ~ spl42_70
| ~ spl42_153
| ~ spl42_162
| spl42_209 ),
inference(avatar_contradiction_clause,[],[f4713]) ).
fof(f4715,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| ~ spl42_189
| spl42_208 ),
inference(forward_demodulation,[],[f2118,f1791]) ).
fof(f4717,plain,
( op2(e22,e20) != h3(e13)
| ~ spl42_73
| ~ spl42_189
| spl42_208 ),
inference(forward_demodulation,[],[f4715,f1105]) ).
fof(f4719,plain,
( e22 != op2(e22,e20)
| ~ spl42_73
| ~ spl42_189
| spl42_208 ),
inference(forward_demodulation,[],[f4717,f603]) ).
fof(f4721,plain,
( $false
| ~ spl42_22
| ~ spl42_73
| ~ spl42_189
| spl42_208 ),
inference(forward_subsumption_resolution,[],[f4719,f738]) ).
fof(f4722,plain,
( ~ spl42_22
| ~ spl42_73
| ~ spl42_189
| spl42_208 ),
inference(avatar_contradiction_clause,[],[f4721]) ).
fof(f4724,plain,
( h3(e10) != h3(e10)
| ~ spl42_64
| spl42_211 ),
inference(forward_demodulation,[],[f2130,f1066]) ).
fof(f4725,plain,
( $false
| ~ spl42_64
| spl42_211 ),
inference(trivial_inequality_removal,[],[f4724]) ).
fof(f4726,plain,
( ~ spl42_64
| spl42_211 ),
inference(avatar_contradiction_clause,[],[f4725]) ).
fof(f4729,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| ~ spl42_153
| spl42_210 ),
inference(forward_demodulation,[],[f2126,f1593]) ).
fof(f4730,plain,
( op2(e22,e23) != h3(e11)
| ~ spl42_67
| ~ spl42_153
| spl42_210 ),
inference(forward_demodulation,[],[f4729,f1079]) ).
fof(f4731,plain,
( e21 != op2(e22,e23)
| ~ spl42_67
| ~ spl42_153
| ~ spl42_162
| spl42_210 ),
inference(forward_demodulation,[],[f4730,f1638]) ).
fof(f4732,plain,
( $false
| ~ spl42_15
| ~ spl42_67
| ~ spl42_153
| ~ spl42_162
| spl42_210 ),
inference(forward_subsumption_resolution,[],[f4731,f707]) ).
fof(f4733,plain,
( ~ spl42_15
| ~ spl42_67
| ~ spl42_153
| ~ spl42_162
| spl42_210 ),
inference(avatar_contradiction_clause,[],[f4732]) ).
fof(f4734,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl42_162
| spl42_200 ),
inference(forward_demodulation,[],[f2086,f1638]) ).
fof(f4757,plain,
( e21 = h2(e12)
| ~ spl42_47
| ~ spl42_190 ),
inference(forward_demodulation,[],[f4586,f845]) ).
fof(f4758,plain,
( op2(e21,e21) != h3(e10)
| ~ spl42_104
| ~ spl42_162
| spl42_200 ),
inference(forward_demodulation,[],[f4734,f1236]) ).
fof(f4776,plain,
( $false
| ~ spl42_47
| spl42_173
| ~ spl42_190 ),
inference(forward_subsumption_resolution,[],[f4757,f1694]) ).
fof(f4777,plain,
( ~ spl42_47
| spl42_173
| ~ spl42_190 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4778,plain,
( e20 != op2(e21,e21)
| ~ spl42_104
| ~ spl42_162
| ~ spl42_189
| spl42_200 ),
inference(forward_demodulation,[],[f4758,f1791]) ).
fof(f4785,plain,
( e20 != h2(e10)
| ~ spl42_104
| ~ spl42_162
| ~ spl42_189
| spl42_200 ),
inference(forward_demodulation,[],[f4778,f598]) ).
fof(f4789,plain,
( $false
| ~ spl42_104
| ~ spl42_162
| ~ spl42_189
| ~ spl42_190
| spl42_200 ),
inference(forward_subsumption_resolution,[],[f4785,f1803]) ).
fof(f4790,plain,
( ~ spl42_104
| ~ spl42_162
| ~ spl42_189
| ~ spl42_190
| spl42_200 ),
inference(avatar_contradiction_clause,[],[f4789]) ).
fof(f4795,plain,
( e20 = e23
| ~ spl42_167
| ~ spl42_190 ),
inference(forward_demodulation,[],[f1663,f1803]) ).
fof(f4842,plain,
( $false
| ~ spl42_167
| ~ spl42_190 ),
inference(forward_subsumption_resolution,[],[f4795,f493]) ).
fof(f4843,plain,
( ~ spl42_167
| ~ spl42_190 ),
inference(avatar_contradiction_clause,[],[f4842]) ).
fof(f4866,plain,
( ~ spl42_167
| ~ spl42_25 ),
inference(avatar_split_clause,[],[f4157,f749,f1662]) ).
fof(f4984,plain,
( ~ spl42_23
| ~ spl42_15 ),
inference(avatar_split_clause,[],[f4294,f705,f740]) ).
fof(f4990,plain,
( ~ spl42_34
| ~ spl42_22 ),
inference(avatar_split_clause,[],[f4320,f736,f788]) ).
fof(f4992,plain,
( ~ spl42_159
| ~ spl42_22 ),
inference(avatar_split_clause,[],[f4099,f736,f1622]) ).
fof(f4995,plain,
( ~ spl42_34
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f4298,f770,f788]) ).
fof(f4996,plain,
( ~ spl42_159
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f4161,f770,f1622]) ).
fof(f4998,plain,
( e10 = e13
| ~ spl42_61
| ~ spl42_64 ),
inference(forward_demodulation,[],[f1054,f1066]) ).
fof(f5061,plain,
( $false
| ~ spl42_79
| ~ spl42_95 ),
inference(forward_subsumption_resolution,[],[f4256,f1198]) ).
fof(f5062,plain,
( ~ spl42_79
| ~ spl42_95 ),
inference(avatar_contradiction_clause,[],[f5061]) ).
fof(f5074,plain,
( $false
| ~ spl42_61
| ~ spl42_64 ),
inference(forward_subsumption_resolution,[],[f4998,f175]) ).
fof(f5075,plain,
( ~ spl42_61
| ~ spl42_64 ),
inference(avatar_contradiction_clause,[],[f5074]) ).
cnf(s13,plain,
( spl42_2
| ~ spl42_49 ),
inference(sat_conversion,[],[f939]) ).
cnf(s14,plain,
( spl42_7
| ~ spl42_50 ),
inference(sat_conversion,[],[f948]) ).
cnf(s15,plain,
( spl42_12
| ~ spl42_51 ),
inference(sat_conversion,[],[f957]) ).
cnf(s16,plain,
( spl42_13
| ~ spl42_52 ),
inference(sat_conversion,[],[f966]) ).
cnf(s17,plain,
( spl42_19
| ~ spl42_53 ),
inference(sat_conversion,[],[f980]) ).
cnf(s18,plain,
( spl42_24
| ~ spl42_54 ),
inference(sat_conversion,[],[f989]) ).
cnf(s19,plain,
( spl42_25
| ~ spl42_55 ),
inference(sat_conversion,[],[f998]) ).
cnf(s20,plain,
( spl42_30
| ~ spl42_56 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s21,plain,
( spl42_36
| ~ spl42_57 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s30,plain,
( spl42_81
| spl42_82
| spl42_83
| spl42_84 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s35,plain,
( spl42_101
| spl42_102
| spl42_103
| spl42_104 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s41,plain,
( spl42_61
| spl42_77
| spl42_93
| spl42_109 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s44,plain,
( spl42_62
| spl42_66
| spl42_70
| spl42_74 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s46,plain,
( spl42_63
| spl42_67
| spl42_71
| spl42_75 ),
inference(sat_conversion,[],[f1328]) ).
cnf(s49,plain,
( spl42_65
| spl42_81
| spl42_97
| spl42_113 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s50,plain,
( spl42_77
| spl42_81
| spl42_85
| spl42_89 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s53,plain,
( spl42_67
| spl42_83
| spl42_99
| spl42_115 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s55,plain,
( spl42_68
| spl42_84
| spl42_100
| spl42_116 ),
inference(sat_conversion,[],[f1337]) ).
cnf(s56,plain,
( spl42_80
| spl42_84
| spl42_88
| spl42_92 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s60,plain,
( spl42_94
| spl42_98
| spl42_102
| spl42_106 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s61,plain,
( spl42_71
| spl42_87
| spl42_103
| spl42_119 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s62,plain,
( spl42_95
| spl42_99
| spl42_103
| spl42_107 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s64,plain,
( spl42_96
| spl42_100
| spl42_104
| spl42_108 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s67,plain,
( spl42_74
| spl42_90
| spl42_106
| spl42_122 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s69,plain,
( spl42_75
| spl42_91
| spl42_107
| spl42_123 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s75,plain,
( ~ spl42_64
| spl42_73 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s76,plain,
( spl42_78
| ~ spl42_81 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s77,plain,
( ~ spl42_83
| spl42_86 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s78,plain,
( ~ spl42_84
| spl42_90 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s79,plain,
( spl42_95
| ~ spl42_101 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s80,plain,
( spl42_99
| ~ spl42_102 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s81,plain,
( ~ spl42_104
| spl42_107 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s83,plain,
( spl42_116
| ~ spl42_122 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s85,plain,
( spl42_61
| spl42_82
| spl42_103
| spl42_124 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s86,plain,
( ~ spl42_64
| ~ spl42_73
| spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s95,plain,
( spl42_61
| ~ spl42_125 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s100,plain,
( spl42_66
| ~ spl42_126 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s105,plain,
( spl42_71
| ~ spl42_127 ),
inference(sat_conversion,[],[f1447]) ).
cnf(s110,plain,
( spl42_76
| ~ spl42_128 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s115,plain,
( spl42_77
| ~ spl42_129 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s117,plain,
( ~ spl42_82
| ~ spl42_130 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s120,plain,
( spl42_82
| ~ spl42_130 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s122,plain,
( ~ spl42_82
| ~ spl42_131 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s125,plain,
( spl42_87
| ~ spl42_131 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s127,plain,
( ~ spl42_82
| ~ spl42_132 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s130,plain,
( spl42_92
| ~ spl42_132 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s133,plain,
( ~ spl42_103
| ~ spl42_133 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s138,plain,
( ~ spl42_103
| ~ spl42_134 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s140,plain,
( spl42_98
| ~ spl42_134 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s143,plain,
( ~ spl42_103
| ~ spl42_135 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s148,plain,
( ~ spl42_103
| ~ spl42_136 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s150,plain,
( spl42_108
| ~ spl42_136 ),
inference(sat_conversion,[],[f1492]) ).
cnf(s155,plain,
( spl42_109
| ~ spl42_137 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s156,plain,
( ~ spl42_64
| ~ spl42_73
| ~ spl42_138 ),
inference(sat_conversion,[],[f1498]) ).
cnf(s161,plain,
( ~ spl42_64
| ~ spl42_73
| ~ spl42_139 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s166,plain,
spl42_64,
inference(sat_conversion,[],[f1509]) ).
cnf(s176,plain,
( ~ spl42_152
| ~ spl42_153 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s183,plain,
( ~ spl42_160
| ~ spl42_162 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s203,plain,
( spl42_13
| spl42_25
| spl42_37
| spl42_143 ),
inference(sat_conversion,[],[f1770]) ).
cnf(s206,plain,
( spl42_2
| spl42_6
| spl42_10
| spl42_147 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s207,plain,
( spl42_15
| spl42_27
| spl42_39
| spl42_151 ),
inference(sat_conversion,[],[f1774]) ).
cnf(s208,plain,
( spl42_3
| spl42_7
| spl42_11
| spl42_151 ),
inference(sat_conversion,[],[f1775]) ).
cnf(s211,plain,
( spl42_1
| spl42_29
| spl42_41
| spl42_155 ),
inference(sat_conversion,[],[f1782]) ).
cnf(s212,plain,
( spl42_13
| spl42_17
| spl42_21
| spl42_155 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s213,plain,
( spl42_2
| spl42_30
| spl42_42
| spl42_159 ),
inference(sat_conversion,[],[f1784]) ).
cnf(s214,plain,
( spl42_14
| spl42_18
| spl42_22
| spl42_159 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s215,plain,
( spl42_3
| spl42_31
| spl42_43
| spl42_163 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s216,plain,
( spl42_15
| spl42_19
| spl42_23
| spl42_163 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s217,plain,
( spl42_4
| spl42_32
| spl42_44
| spl42_189 ),
inference(sat_conversion,[],[f1792]) ).
cnf(s218,plain,
( spl42_16
| spl42_20
| spl42_24
| spl42_189 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s219,plain,
( spl42_5
| spl42_17
| spl42_45
| spl42_167 ),
inference(sat_conversion,[],[f1794]) ).
cnf(s220,plain,
( spl42_25
| spl42_29
| spl42_33
| spl42_167 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s221,plain,
( spl42_6
| spl42_18
| spl42_46
| spl42_171 ),
inference(sat_conversion,[],[f1796]) ).
cnf(s222,plain,
( spl42_26
| spl42_30
| spl42_34
| spl42_171 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s223,plain,
( spl42_7
| spl42_19
| spl42_47
| spl42_175 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s225,plain,
( spl42_8
| spl42_20
| spl42_48
| spl42_190 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s226,plain,
( spl42_28
| spl42_32
| spl42_36
| spl42_190 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s228,plain,
( spl42_37
| spl42_41
| spl42_45
| spl42_179 ),
inference(sat_conversion,[],[f1807]) ).
cnf(s229,plain,
( spl42_10
| spl42_22
| spl42_34
| spl42_183 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s231,plain,
( spl42_11
| spl42_23
| spl42_35
| spl42_187 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s232,plain,
( spl42_39
| spl42_43
| spl42_47
| spl42_187 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s233,plain,
( spl42_12
| spl42_24
| spl42_36
| spl42_191 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s234,plain,
( spl42_40
| spl42_44
| spl42_48
| spl42_191 ),
inference(sat_conversion,[],[f1817]) ).
cnf(s235,plain,
( spl42_1
| ~ spl42_147 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s237,plain,
( spl42_9
| ~ spl42_188 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s238,plain,
( spl42_14
| ~ spl42_155 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s239,plain,
( spl42_18
| ~ spl42_163 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s240,plain,
( spl42_22
| ~ spl42_189 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s241,plain,
( spl42_27
| ~ spl42_167 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s242,plain,
( spl42_31
| ~ spl42_171 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s243,plain,
( spl42_35
| ~ spl42_190 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s244,plain,
( spl42_40
| ~ spl42_179 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s245,plain,
( spl42_44
| ~ spl42_183 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s246,plain,
( spl42_48
| ~ spl42_187 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s250,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_191
| spl42_192
| spl42_193
| spl42_194 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s251,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| spl42_191
| spl42_192
| spl42_193
| spl42_194 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s256,plain,
( spl42_143
| ~ spl42_192 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s270,plain,
( ~ spl42_52
| ~ spl42_159 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s274,plain,
( ~ spl42_159
| ~ spl42_193 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s277,plain,
( spl42_159
| ~ spl42_193 ),
inference(sat_conversion,[],[f1873]) ).
cnf(s279,plain,
( ~ spl42_53
| ~ spl42_159 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s283,plain,
( ~ spl42_54
| ~ spl42_159 ),
inference(sat_conversion,[],[f1879]) ).
cnf(s288,plain,
( ~ spl42_55
| ~ spl42_175 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s289,plain,
( ~ spl42_48
| ~ spl42_55
| ~ spl42_187 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s292,plain,
( ~ spl42_56
| ~ spl42_175 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s293,plain,
( ~ spl42_48
| ~ spl42_56
| ~ spl42_187 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s296,plain,
( ~ spl42_175
| ~ spl42_194 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s297,plain,
( ~ spl42_48
| ~ spl42_187
| ~ spl42_194 ),
inference(sat_conversion,[],[f1893]) ).
cnf(s298,plain,
( spl42_175
| ~ spl42_194 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s301,plain,
( ~ spl42_57
| ~ spl42_175 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s302,plain,
( ~ spl42_48
| ~ spl42_57
| ~ spl42_187 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s303,plain,
( ~ spl42_9
| ~ spl42_58
| ~ spl42_188 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s307,plain,
( ~ spl42_9
| ~ spl42_59
| ~ spl42_188 ),
inference(sat_conversion,[],[f1903]) ).
cnf(s311,plain,
( ~ spl42_9
| ~ spl42_60
| ~ spl42_188 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s315,plain,
spl42_79,
inference(sat_conversion,[],[f1911]) ).
cnf(s317,plain,
~ spl42_156,
inference(sat_conversion,[],[f1929]) ).
cnf(s322,plain,
( spl42_179
| spl42_183
| spl42_187
| spl42_191 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s323,plain,
( spl42_143
| spl42_159
| spl42_175
| spl42_191 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s326,plain,
( spl42_152
| spl42_156
| spl42_160
| ~ spl42_189
| ~ spl42_196
| ~ spl42_197
| ~ spl42_198
| ~ spl42_199
| ~ spl42_200
| ~ spl42_201
| ~ spl42_202
| ~ spl42_203
| ~ spl42_204
| ~ spl42_205
| ~ spl42_206
| ~ spl42_207
| ~ spl42_208
| ~ spl42_209
| ~ spl42_210
| ~ spl42_211 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s339,plain,
( ~ spl42_6
| ~ spl42_7 ),
inference(sat_conversion,[],[f2399]) ).
cnf(s342,plain,
( ~ spl42_7
| ~ spl42_8 ),
inference(sat_conversion,[],[f2408]) ).
cnf(s349,plain,
( ~ spl42_19
| ~ spl42_20 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s351,plain,
( ~ spl42_14
| ~ spl42_16 ),
inference(sat_conversion,[],[f2440]) ).
cnf(s353,plain,
( ~ spl42_17
| ~ spl42_18 ),
inference(sat_conversion,[],[f2447]) ).
cnf(s355,plain,
( ~ spl42_17
| ~ spl42_20 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s357,plain,
( ~ spl42_21
| ~ spl42_23 ),
inference(sat_conversion,[],[f2463]) ).
cnf(s360,plain,
( ~ spl42_155
| ~ spl42_189 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s361,plain,
( ~ spl42_155
| ~ spl42_189 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s362,plain,
( ~ spl42_29
| ~ spl42_31 ),
inference(sat_conversion,[],[f2486]) ).
cnf(s363,plain,
( ~ spl42_1
| ~ spl42_4 ),
inference(sat_conversion,[],[f2490]) ).
cnf(s365,plain,
( ~ spl42_21
| ~ spl42_22 ),
inference(sat_conversion,[],[f2498]) ).
cnf(s367,plain,
( ~ spl42_26
| ~ spl42_27 ),
inference(sat_conversion,[],[f2513]) ).
cnf(s372,plain,
( ~ spl42_33
| ~ spl42_35 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s374,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s379,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s380,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s381,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s382,plain,
( ~ spl42_47
| ~ spl42_48 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s383,plain,
( ~ spl42_34
| ~ spl42_36 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s386,plain,
( ~ spl42_13
| ~ spl42_15 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s387,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s388,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s392,plain,
( ~ spl42_6
| ~ spl42_8 ),
inference(sat_conversion,[],[f2645]) ).
cnf(s393,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(sat_conversion,[],[f2650]) ).
cnf(s395,plain,
( ~ spl42_29
| ~ spl42_32 ),
inference(sat_conversion,[],[f2661]) ).
cnf(s397,plain,
( ~ spl42_41
| ~ spl42_43 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s398,plain,
( ~ spl42_25
| ~ spl42_26 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s399,plain,
( ~ spl42_38
| ~ spl42_40 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s401,plain,
( ~ spl42_155
| ~ spl42_159 ),
inference(sat_conversion,[],[f2687]) ).
cnf(s404,plain,
( ~ spl42_9
| ~ spl42_11 ),
inference(sat_conversion,[],[f2706]) ).
cnf(s405,plain,
( ~ spl42_13
| ~ spl42_14 ),
inference(sat_conversion,[],[f2708]) ).
cnf(s407,plain,
( ~ spl42_2
| ~ spl42_3 ),
inference(sat_conversion,[],[f2734]) ).
cnf(s408,plain,
( ~ spl42_18
| ~ spl42_20 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s409,plain,
( ~ spl42_18
| ~ spl42_20 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s411,plain,
( ~ spl42_175
| ~ spl42_190 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s413,plain,
( ~ spl42_34
| ~ spl42_35 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s414,plain,
( ~ spl42_31
| ~ spl42_32 ),
inference(sat_conversion,[],[f2791]) ).
cnf(s415,plain,
( ~ spl42_171
| ~ spl42_190 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s416,plain,
( ~ spl42_183
| ~ spl42_191 ),
inference(sat_conversion,[],[f2795]) ).
cnf(s417,plain,
( ~ spl42_23
| ~ spl42_24 ),
inference(sat_conversion,[],[f2804]) ).
cnf(s418,plain,
( ~ spl42_187
| ~ spl42_191 ),
inference(sat_conversion,[],[f2810]) ).
cnf(s420,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s422,plain,
( ~ spl42_171
| ~ spl42_175 ),
inference(sat_conversion,[],[f2838]) ).
cnf(s423,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(sat_conversion,[],[f2844]) ).
cnf(s425,plain,
( ~ spl42_25
| ~ spl42_28 ),
inference(sat_conversion,[],[f2855]) ).
cnf(s427,plain,
( ~ spl42_30
| ~ spl42_32 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s428,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(sat_conversion,[],[f2870]) ).
cnf(s429,plain,
( ~ spl42_27
| ~ spl42_28 ),
inference(sat_conversion,[],[f2894]) ).
cnf(s430,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s432,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(sat_conversion,[],[f2915]) ).
cnf(s434,plain,
( ~ spl42_9
| ~ spl42_12 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s435,plain,
( ~ spl42_22
| ~ spl42_23 ),
inference(sat_conversion,[],[f2952]) ).
cnf(s437,plain,
( ~ spl42_41
| ~ spl42_44 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s438,plain,
( ~ spl42_1
| ~ spl42_3 ),
inference(sat_conversion,[],[f2984]) ).
cnf(s440,plain,
( ~ spl42_45
| ~ spl42_46 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s442,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(sat_conversion,[],[f3025]) ).
cnf(s448,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(sat_conversion,[],[f3068]) ).
cnf(s449,plain,
( ~ spl42_22
| ~ spl42_24 ),
inference(sat_conversion,[],[f3088]) ).
cnf(s451,plain,
( ~ spl42_159
| ~ spl42_189 ),
inference(sat_conversion,[],[f3120]) ).
cnf(s452,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(sat_conversion,[],[f3153]) ).
cnf(s453,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(sat_conversion,[],[f3155]) ).
cnf(s454,plain,
( ~ spl42_18
| ~ spl42_19 ),
inference(sat_conversion,[],[f3175]) ).
cnf(s455,plain,
( ~ spl42_163
| ~ spl42_189 ),
inference(sat_conversion,[],[f3177]) ).
cnf(s457,plain,
( ~ spl42_13
| ~ spl42_16 ),
inference(sat_conversion,[],[f3197]) ).
cnf(s460,plain,
( ~ spl42_38
| ~ spl42_39 ),
inference(sat_conversion,[],[f3245]) ).
cnf(s461,plain,
( ~ spl42_46
| ~ spl42_48 ),
inference(sat_conversion,[],[f3274]) ).
cnf(s464,plain,
( ~ spl42_159
| ~ spl42_163 ),
inference(sat_conversion,[],[f3314]) ).
cnf(s465,plain,
( ~ spl42_159
| ~ spl42_163 ),
inference(sat_conversion,[],[f3316]) ).
cnf(s467,plain,
( ~ spl42_183
| ~ spl42_187 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s469,plain,
( ~ spl42_5
| ~ spl42_7 ),
inference(sat_conversion,[],[f3351]) ).
cnf(s471,plain,
( ~ spl42_66
| ~ spl42_68 ),
inference(sat_conversion,[],[f3376]) ).
cnf(s475,plain,
( ~ spl42_73
| ~ spl42_74 ),
inference(sat_conversion,[],[f3390]) ).
cnf(s477,plain,
( ~ spl42_73
| ~ spl42_75 ),
inference(sat_conversion,[],[f3397]) ).
cnf(s479,plain,
( ~ spl42_66
| ~ spl42_67 ),
inference(sat_conversion,[],[f3404]) ).
cnf(s480,plain,
( ~ spl42_63
| ~ spl42_64 ),
inference(sat_conversion,[],[f3409]) ).
cnf(s485,plain,
( ~ spl42_109
| ~ spl42_110 ),
inference(sat_conversion,[],[f3427]) ).
cnf(s486,plain,
( ~ spl42_93
| ~ spl42_96 ),
inference(sat_conversion,[],[f3431]) ).
cnf(s495,plain,
( ~ spl42_78
| ~ spl42_79 ),
inference(sat_conversion,[],[f3479]) ).
cnf(s497,plain,
( ~ spl42_79
| ~ spl42_80 ),
inference(sat_conversion,[],[f3487]) ).
cnf(s498,plain,
( ~ spl42_85
| ~ spl42_88 ),
inference(sat_conversion,[],[f3493]) ).
cnf(s504,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(sat_conversion,[],[f3515]) ).
cnf(s505,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(sat_conversion,[],[f3517]) ).
cnf(s507,plain,
( ~ spl42_102
| ~ spl42_104 ),
inference(sat_conversion,[],[f3526]) ).
cnf(s508,plain,
( ~ spl42_77
| ~ spl42_79 ),
inference(sat_conversion,[],[f3530]) ).
cnf(s512,plain,
( ~ spl42_70
| ~ spl42_71 ),
inference(sat_conversion,[],[f3552]) ).
cnf(s516,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(sat_conversion,[],[f3586]) ).
cnf(s520,plain,
( ~ spl42_106
| ~ spl42_107 ),
inference(sat_conversion,[],[f3601]) ).
cnf(s521,plain,
( ~ spl42_123
| ~ spl42_124 ),
inference(sat_conversion,[],[f3608]) ).
cnf(s523,plain,
( ~ spl42_106
| ~ spl42_108 ),
inference(sat_conversion,[],[f3617]) ).
cnf(s525,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(sat_conversion,[],[f3626]) ).
cnf(s529,plain,
( ~ spl42_62
| ~ spl42_64 ),
inference(sat_conversion,[],[f3652]) ).
cnf(s530,plain,
( ~ spl42_65
| ~ spl42_66 ),
inference(sat_conversion,[],[f3654]) ).
cnf(s531,plain,
( ~ spl42_86
| ~ spl42_88 ),
inference(sat_conversion,[],[f3656]) ).
cnf(s532,plain,
( ~ spl42_97
| ~ spl42_100 ),
inference(sat_conversion,[],[f3658]) ).
cnf(s535,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(sat_conversion,[],[f3681]) ).
cnf(s537,plain,
( ~ spl42_73
| ~ spl42_76 ),
inference(sat_conversion,[],[f3714]) ).
cnf(s538,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(sat_conversion,[],[f3723]) ).
cnf(s540,plain,
( ~ spl42_85
| ~ spl42_86 ),
inference(sat_conversion,[],[f3731]) ).
cnf(s541,plain,
( ~ spl42_98
| ~ spl42_100 ),
inference(sat_conversion,[],[f3748]) ).
cnf(s546,plain,
( ~ spl42_89
| ~ spl42_90 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s548,plain,
( ~ spl42_98
| ~ spl42_99 ),
inference(sat_conversion,[],[f3809]) ).
cnf(s550,plain,
( ~ spl42_85
| ~ spl42_87 ),
inference(sat_conversion,[],[f3826]) ).
cnf(s553,plain,
( ~ spl42_113
| ~ spl42_116 ),
inference(sat_conversion,[],[f3843]) ).
cnf(s554,plain,
( ~ spl42_113
| ~ spl42_116 ),
inference(sat_conversion,[],[f3845]) ).
cnf(s555,plain,
( ~ spl42_97
| ~ spl42_98 ),
inference(sat_conversion,[],[f3855]) ).
cnf(s556,plain,
( ~ spl42_65
| ~ spl42_67 ),
inference(sat_conversion,[],[f3863]) ).
cnf(s558,plain,
( ~ spl42_90
| ~ spl42_91 ),
inference(sat_conversion,[],[f3908]) ).
cnf(s560,plain,
( ~ spl42_102
| ~ spl42_103 ),
inference(sat_conversion,[],[f3919]) ).
cnf(s561,plain,
( ~ spl42_82
| ~ spl42_84 ),
inference(sat_conversion,[],[f3923]) ).
cnf(s562,plain,
( ~ spl42_97
| ~ spl42_99 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s565,plain,
( ~ spl42_113
| ~ spl42_115 ),
inference(sat_conversion,[],[f3949]) ).
cnf(s566,plain,
( ~ spl42_113
| ~ spl42_115 ),
inference(sat_conversion,[],[f3951]) ).
cnf(s569,plain,
spl42_188,
inference(sat_conversion,[],[f3975]) ).
cnf(s572,plain,
( ~ spl42_151
| ~ spl42_188 ),
inference(sat_conversion,[],[f3989]) ).
cnf(s573,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(sat_conversion,[],[f3997]) ).
cnf(s574,plain,
( ~ spl42_167
| ~ spl42_175 ),
inference(sat_conversion,[],[f4002]) ).
cnf(s575,plain,
( ~ spl42_143
| ~ spl42_188 ),
inference(sat_conversion,[],[f4011]) ).
cnf(s580,plain,
( ~ spl42_41
| ~ spl42_42 ),
inference(sat_conversion,[],[f4087]) ).
cnf(s581,plain,
( spl42_38
| ~ spl42_188 ),
inference(sat_conversion,[],[f4129]) ).
cnf(s582,plain,
( ~ spl42_64
| spl42_110 ),
inference(sat_conversion,[],[f4176]) ).
cnf(s587,plain,
( ~ spl42_173
| ~ spl42_190
| spl42_230 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s592,plain,
( ~ spl42_104
| ~ spl42_190
| ~ spl42_191
| spl42_218
| ~ spl42_230 ),
inference(sat_conversion,[],[f4373]) ).
cnf(s619,plain,
( ~ spl42_41
| spl42_153
| ~ spl42_189 ),
inference(sat_conversion,[],[f4592]) ).
cnf(s620,plain,
( ~ spl42_3
| ~ spl42_153
| spl42_162 ),
inference(sat_conversion,[],[f4599]) ).
cnf(s623,plain,
( ~ spl42_6
| ~ spl42_85
| ~ spl42_153
| ~ spl42_162
| spl42_197 ),
inference(sat_conversion,[],[f4612]) ).
cnf(s624,plain,
( ~ spl42_84
| ~ spl42_153
| ~ spl42_189
| spl42_196 ),
inference(sat_conversion,[],[f4620]) ).
cnf(s625,plain,
( ~ spl42_25
| ~ spl42_98
| ~ spl42_153
| ~ spl42_162
| spl42_199 ),
inference(sat_conversion,[],[f4630]) ).
cnf(s626,plain,
( ~ spl42_9
| ~ spl42_90
| ~ spl42_153
| ~ spl42_189
| spl42_198 ),
inference(sat_conversion,[],[f4640]) ).
cnf(s627,plain,
( ~ spl42_35
| ~ spl42_107
| ~ spl42_162
| ~ spl42_189
| spl42_201 ),
inference(sat_conversion,[],[f4650]) ).
cnf(s629,plain,
( ~ spl42_47
| ~ spl42_119
| ~ spl42_162
| ~ spl42_189
| spl42_203 ),
inference(sat_conversion,[],[f4668]) ).
cnf(s630,plain,
( ~ spl42_38
| ~ spl42_113
| ~ spl42_153
| ~ spl42_189
| spl42_202 ),
inference(sat_conversion,[],[f4678]) ).
cnf(s631,plain,
( ~ spl42_41
| ~ spl42_110
| ~ spl42_153
| ~ spl42_189
| spl42_205 ),
inference(sat_conversion,[],[f4687]) ).
cnf(s632,plain,
( ~ spl42_104
| ~ spl42_124
| ~ spl42_189
| ~ spl42_190
| spl42_204
| ~ spl42_218
| ~ spl42_230 ),
inference(sat_conversion,[],[f4695]) ).
cnf(s633,plain,
( ~ spl42_79
| spl42_207 ),
inference(sat_conversion,[],[f4699]) ).
cnf(s634,plain,
( ~ spl42_30
| ~ spl42_93
| ~ spl42_162
| spl42_206 ),
inference(sat_conversion,[],[f4706]) ).
cnf(s635,plain,
( ~ spl42_17
| ~ spl42_70
| ~ spl42_153
| ~ spl42_162
| spl42_209 ),
inference(sat_conversion,[],[f4714]) ).
cnf(s636,plain,
( ~ spl42_22
| ~ spl42_73
| ~ spl42_189
| spl42_208 ),
inference(sat_conversion,[],[f4722]) ).
cnf(s637,plain,
( ~ spl42_64
| spl42_211 ),
inference(sat_conversion,[],[f4726]) ).
cnf(s638,plain,
( ~ spl42_15
| ~ spl42_67
| ~ spl42_153
| ~ spl42_162
| spl42_210 ),
inference(sat_conversion,[],[f4733]) ).
cnf(s641,plain,
( ~ spl42_47
| spl42_173
| ~ spl42_190 ),
inference(sat_conversion,[],[f4777]) ).
cnf(s644,plain,
( ~ spl42_104
| ~ spl42_162
| ~ spl42_189
| ~ spl42_190
| spl42_200 ),
inference(sat_conversion,[],[f4790]) ).
cnf(s658,plain,
( ~ spl42_167
| ~ spl42_190 ),
inference(sat_conversion,[],[f4843]) ).
cnf(s659,plain,
( ~ spl42_25
| ~ spl42_167 ),
inference(sat_conversion,[],[f4866]) ).
cnf(s686,plain,
( ~ spl42_15
| ~ spl42_23 ),
inference(sat_conversion,[],[f4984]) ).
cnf(s689,plain,
( ~ spl42_22
| ~ spl42_34 ),
inference(sat_conversion,[],[f4990]) ).
cnf(s690,plain,
( ~ spl42_22
| ~ spl42_159 ),
inference(sat_conversion,[],[f4992]) ).
cnf(s691,plain,
( ~ spl42_30
| ~ spl42_34 ),
inference(sat_conversion,[],[f4995]) ).
cnf(s692,plain,
( ~ spl42_30
| ~ spl42_159 ),
inference(sat_conversion,[],[f4996]) ).
cnf(s693,plain,
( ~ spl42_79
| ~ spl42_95 ),
inference(sat_conversion,[],[f5062]) ).
cnf(s694,plain,
( ~ spl42_61
| ~ spl42_64 ),
inference(sat_conversion,[],[f5075]) ).
cnf(s697,plain,
spl42_38,
inference(rat,[],[s581,s569]) ).
cnf(s698,plain,
~ spl42_143,
inference(rat,[],[s575,s569]) ).
cnf(s699,plain,
~ spl42_151,
inference(rat,[],[s572,s569]) ).
cnf(s700,plain,
~ spl42_39,
inference(rat,[],[s460,s697]) ).
cnf(s701,plain,
~ spl42_37,
inference(rat,[],[s430,s697]) ).
cnf(s702,plain,
~ spl42_40,
inference(rat,[],[s399,s697]) ).
cnf(s704,plain,
( spl42_159
| spl42_175
| spl42_191 ),
inference(rat,[],[s323,s698]) ).
cnf(s705,plain,
~ spl42_95,
inference(rat,[],[s693,s315]) ).
cnf(s706,plain,
spl42_207,
inference(rat,[],[s633,s315]) ).
cnf(s709,plain,
~ spl42_77,
inference(rat,[],[s508,s315]) ).
cnf(s710,plain,
~ spl42_80,
inference(rat,[],[s497,s315]) ).
cnf(s711,plain,
~ spl42_78,
inference(rat,[],[s495,s315]) ).
cnf(s712,plain,
( ~ spl42_9
| ~ spl42_60 ),
inference(rat,[],[s311,s569]) ).
cnf(s713,plain,
( ~ spl42_9
| ~ spl42_59 ),
inference(rat,[],[s307,s569]) ).
cnf(s714,plain,
( ~ spl42_9
| ~ spl42_58 ),
inference(rat,[],[s303,s569]) ).
cnf(s715,plain,
~ spl42_192,
inference(rat,[],[s256,s698]) ).
cnf(s716,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| spl42_191
| spl42_193
| spl42_194 ),
inference(rat,[],[s251,s715]) ).
cnf(s717,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_191
| spl42_193
| spl42_194 ),
inference(rat,[],[s250,s715]) ).
cnf(s721,plain,
~ spl42_179,
inference(rat,[],[s244,s702]) ).
cnf(s722,plain,
spl42_9,
inference(rat,[],[s237,s569]) ).
cnf(s723,plain,
~ spl42_12,
inference(rat,[],[s434,s722]) ).
cnf(s724,plain,
~ spl42_10,
inference(rat,[],[s420,s722]) ).
cnf(s725,plain,
~ spl42_11,
inference(rat,[],[s404,s722]) ).
cnf(s726,plain,
~ spl42_60,
inference(rat,[],[s712,s722]) ).
cnf(s727,plain,
~ spl42_59,
inference(rat,[],[s713,s722]) ).
cnf(s728,plain,
~ spl42_58,
inference(rat,[],[s714,s722]) ).
cnf(s729,plain,
( spl42_44
| spl42_48
| spl42_191 ),
inference(rat,[],[s234,s702]) ).
cnf(s730,plain,
( spl42_24
| spl42_36
| spl42_191 ),
inference(rat,[],[s233,s723]) ).
cnf(s731,plain,
( spl42_43
| spl42_47
| spl42_187 ),
inference(rat,[],[s232,s700]) ).
cnf(s732,plain,
( spl42_23
| spl42_35
| spl42_187 ),
inference(rat,[],[s231,s725]) ).
cnf(s733,plain,
( spl42_22
| spl42_34
| spl42_183 ),
inference(rat,[],[s229,s724]) ).
cnf(s734,plain,
( spl42_41
| spl42_45 ),
inference(rat,[],[s228,s721,s701]) ).
cnf(s735,plain,
( spl42_3
| spl42_7 ),
inference(rat,[],[s208,s699,s725]) ).
cnf(s736,plain,
( spl42_15
| spl42_27 ),
inference(rat,[],[s207,s699,s700]) ).
cnf(s737,plain,
( spl42_2
| spl42_6
| spl42_147 ),
inference(rat,[],[s206,s724]) ).
cnf(s738,plain,
( spl42_13
| spl42_25 ),
inference(rat,[],[s203,s698,s701]) ).
cnf(s740,plain,
~ spl42_61,
inference(rat,[],[s694,s166]) ).
cnf(s741,plain,
spl42_211,
inference(rat,[],[s637,s166]) ).
cnf(s743,plain,
spl42_110,
inference(rat,[],[s582,s166]) ).
cnf(s744,plain,
~ spl42_62,
inference(rat,[],[s529,s166]) ).
cnf(s746,plain,
~ spl42_63,
inference(rat,[],[s480,s166]) ).
cnf(s748,plain,
~ spl42_109,
inference(rat,[],[s485,s743]) ).
cnf(s749,plain,
( ~ spl42_73
| ~ spl42_139 ),
inference(rat,[],[s161,s166]) ).
cnf(s750,plain,
( ~ spl42_73
| ~ spl42_138 ),
inference(rat,[],[s156,s166]) ).
cnf(s751,plain,
~ spl42_137,
inference(rat,[],[s155,s748]) ).
cnf(s752,plain,
~ spl42_129,
inference(rat,[],[s115,s709]) ).
cnf(s753,plain,
~ spl42_125,
inference(rat,[],[s95,s740]) ).
cnf(s758,plain,
( ~ spl42_73
| spl42_126
| spl42_127
| spl42_128
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_138
| spl42_139 ),
inference(rat,[],[s86,s751,s752,s753,s166]) ).
cnf(s759,plain,
( spl42_82
| spl42_103
| spl42_124 ),
inference(rat,[],[s85,s740]) ).
cnf(s760,plain,
~ spl42_101,
inference(rat,[],[s79,s705]) ).
cnf(s761,plain,
~ spl42_81,
inference(rat,[],[s76,s711]) ).
cnf(s762,plain,
spl42_73,
inference(rat,[],[s75,s166]) ).
cnf(s763,plain,
~ spl42_76,
inference(rat,[],[s537,s762]) ).
cnf(s764,plain,
~ spl42_75,
inference(rat,[],[s477,s762]) ).
cnf(s765,plain,
~ spl42_74,
inference(rat,[],[s475,s762]) ).
cnf(s766,plain,
~ spl42_139,
inference(rat,[],[s749,s762]) ).
cnf(s767,plain,
~ spl42_138,
inference(rat,[],[s750,s762]) ).
cnf(s768,plain,
~ spl42_128,
inference(rat,[],[s110,s763]) ).
cnf(s771,plain,
( spl42_91
| spl42_107
| spl42_123 ),
inference(rat,[],[s69,s764]) ).
cnf(s772,plain,
( spl42_90
| spl42_106
| spl42_122 ),
inference(rat,[],[s67,s765]) ).
cnf(s774,plain,
( spl42_99
| spl42_103
| spl42_107 ),
inference(rat,[],[s62,s705]) ).
cnf(s777,plain,
( spl42_84
| spl42_88
| spl42_92 ),
inference(rat,[],[s56,s710]) ).
cnf(s779,plain,
( spl42_85
| spl42_89 ),
inference(rat,[],[s50,s761,s709]) ).
cnf(s780,plain,
( spl42_65
| spl42_97
| spl42_113 ),
inference(rat,[],[s49,s761]) ).
cnf(s781,plain,
( spl42_67
| spl42_71 ),
inference(rat,[],[s46,s764,s746]) ).
cnf(s782,plain,
( spl42_66
| spl42_70 ),
inference(rat,[],[s44,s765,s744]) ).
cnf(s783,plain,
spl42_93,
inference(rat,[],[s41,s748,s709,s740]) ).
cnf(s784,plain,
~ spl42_94,
inference(rat,[],[s516,s783]) ).
cnf(s785,plain,
~ spl42_96,
inference(rat,[],[s486,s783]) ).
cnf(s786,plain,
( spl42_102
| spl42_103
| spl42_104 ),
inference(rat,[],[s35,s760]) ).
cnf(s787,plain,
( spl42_82
| spl42_83
| spl42_84 ),
inference(rat,[],[s30,s761]) ).
cnf(s788,plain,
~ spl42_51,
inference(rat,[],[s15,s723]) ).
cnf(s789,plain,
( spl42_17
| spl42_155
| spl42_13
| spl42_5 ),
inference(rat,[],[s245,s733,s388,s413,s731,s732,s246,s357,s365,s442,s573,s212,s219,s659,s738]) ).
cnf(s790,plain,
( spl42_34
| spl42_30
| spl42_22
| spl42_155
| spl42_26
| spl42_1 ),
inference(rat,[],[s211,s362,s437,s242,s245,s222,s733]) ).
cnf(s791,plain,
( ~ spl42_23
| spl42_18
| spl42_20
| spl42_14
| ~ spl42_25
| spl42_8
| spl42_1 ),
inference(rat,[],[s397,s731,s211,s382,s395,s418,s225,s226,s730,s243,s383,s413,s790,s692,s214,s417,s435,s425,s398,s238]) ).
cnf(s792,plain,
( spl42_22
| spl42_14
| spl42_13
| spl42_2
| spl42_1 ),
inference(rat,[],[s716,s289,s297,s418,s225,s21,s732,s243,s383,s413,s790,s20,s274,s283,s692,s214,s13,s14,s339,s16,s398,s17,s453,s791,s353,s355,s789,s238,s432,s738,s392,s737,s235,s788,s728,s727,s726]) ).
cnf(s793,plain,
( spl42_30
| spl42_34
| spl42_159
| spl42_155
| spl42_26
| spl42_2
| spl42_1 ),
inference(rat,[],[s362,s211,s242,s580,s222,s213]) ).
cnf(s795,plain,
( spl42_103
| spl42_99
| ~ spl42_199
| ~ spl42_202
| spl42_87
| ~ spl42_197
| ~ spl42_198
| ~ spl42_196
| spl42_82
| ~ spl42_210
| spl42_71
| ~ spl42_209
| ~ spl42_47
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| spl42_152
| ~ spl42_162
| ~ spl42_208
| ~ spl42_189 ),
inference(rat,[],[s632,s326,s629,s592,s644,s627,s61,s786,s774,s759,s183,s587,s641,s80,s317,s706,s741]) ).
cnf(s796,plain,
( ~ spl42_103
| ~ spl42_90
| spl42_130
| spl42_66 ),
inference(rat,[],[s758,s133,s138,s143,s148,s100,s105,s512,s782,s130,s535,s125,s550,s779,s546,s762,s768,s767,s766]) ).
cnf(s797,plain,
( ~ spl42_98
| spl42_103
| spl42_87
| ~ spl42_197
| ~ spl42_198
| ~ spl42_196
| spl42_82
| ~ spl42_210
| spl42_71
| ~ spl42_209
| spl42_65
| ~ spl42_47
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| ~ spl42_162
| ~ spl42_153
| ~ spl42_208
| ~ spl42_189
| ~ spl42_25 ),
inference(rat,[],[s630,s795,s780,s548,s555,s625,s176,s697]) ).
cnf(s798,plain,
( ~ spl42_84
| spl42_82
| ~ spl42_210
| ~ spl42_209
| spl42_66
| spl42_65
| ~ spl42_47
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| ~ spl42_153
| ~ spl42_208
| ~ spl42_189
| ~ spl42_25
| ~ spl42_6 ),
inference(rat,[],[s504,s64,s80,s507,s60,s797,s520,s525,s771,s521,s759,s796,s550,s623,s779,s546,s558,s626,s78,s624,s620,s735,s339,s512,s782,s120,s785,s784,s722]) ).
cnf(s799,plain,
( spl42_84
| spl42_82 ),
inference(rat,[],[s538,s777,s779,s531,s540,s77,s787]) ).
cnf(s800,plain,
( spl42_82
| ~ spl42_210
| ~ spl42_6
| ~ spl42_209
| spl42_66
| spl42_65
| ~ spl42_47
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| ~ spl42_153
| ~ spl42_208
| ~ spl42_189
| ~ spl42_25 ),
inference(rat,[],[s799,s798]) ).
cnf(s801,plain,
( ~ spl42_98
| spl42_68
| spl42_84
| spl42_65 ),
inference(rat,[],[s553,s55,s780,s541,s555]) ).
cnf(s803,plain,
( ~ spl42_97
| spl42_98 ),
inference(rat,[],[s81,s64,s520,s523,s60,s80,s532,s562,s785,s784]) ).
cnf(s805,plain,
( ~ spl42_106
| spl42_100 ),
inference(rat,[],[s81,s64,s520,s523,s785]) ).
cnf(s806,plain,
( ~ spl42_90
| spl42_84 ),
inference(rat,[],[s498,s777,s779,s535,s546]) ).
cnf(s807,plain,
( ~ spl42_98
| spl42_90
| spl42_65 ),
inference(rat,[],[s83,s772,s554,s805,s780,s541,s555]) ).
cnf(s808,plain,
( spl42_66
| spl42_65
| ~ spl42_47
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| ~ spl42_153
| ~ spl42_208
| ~ spl42_189
| ~ spl42_15
| ~ spl42_17
| ~ spl42_25
| ~ spl42_6 ),
inference(rat,[],[s758,s133,s143,s774,s505,s150,s805,s520,s523,s772,s83,s554,s780,s803,s140,s807,s806,s117,s122,s127,s561,s800,s638,s781,s105,s512,s635,s782,s100,s620,s735,s339,s762,s768,s767,s766]) ).
cnf(s809,plain,
( ~ spl42_98
| spl42_83
| spl42_67
| spl42_65 ),
inference(rat,[],[s565,s53,s780,s548,s555]) ).
cnf(s810,plain,
( spl42_82
| spl42_67
| spl42_65 ),
inference(rat,[],[s771,s525,s521,s64,s759,s507,s560,s60,s805,s505,s53,s566,s780,s803,s809,s77,s540,s779,s546,s558,s78,s799,s785,s784]) ).
cnf(s811,plain,
( spl42_65
| ~ spl42_47
| ~ spl42_6
| ~ spl42_190
| ~ spl42_191
| ~ spl42_35
| ~ spl42_206
| ~ spl42_205
| ~ spl42_153
| ~ spl42_208
| ~ spl42_189
| ~ spl42_15
| ~ spl42_17
| ~ spl42_25 ),
inference(rat,[],[s538,s777,s779,s531,s540,s77,s53,s505,s55,s554,s566,s780,s803,s801,s561,s810,s471,s479,s808]) ).
cnf(s812,plain,
~ spl42_65,
inference(rat,[],[s512,s782,s781,s530,s556]) ).
cnf(s813,plain,
( ~ spl42_47
| ~ spl42_190
| ~ spl42_35
| ~ spl42_25
| ~ spl42_6 ),
inference(rat,[],[s811,s634,s631,s620,s216,s619,s636,s239,s217,s353,s453,s437,s219,s734,s442,s432,s381,s735,s339,s659,s427,s435,s733,s416,s704,s692,s222,s415,s398,s411,s413,s812,s783,s743,s762]) ).
cnf(s814,plain,
( ~ spl42_190
| ~ spl42_35
| spl42_13
| ~ spl42_6 ),
inference(rat,[],[s360,s217,s212,s388,s453,s731,s223,s813,s365,s733,s416,s418,s704,s427,s692,s222,s411,s415,s381,s735,s339,s398,s738,s413]) ).
cnf(s815,plain,
( ~ spl42_35
| spl42_13
| ~ spl42_6 ),
inference(rat,[],[s242,s222,s414,s427,s226,s814,s374,s413,s425,s398,s738]) ).
cnf(s816,plain,
( ~ spl42_191
| spl42_13
| spl42_2
| spl42_1 ),
inference(rat,[],[s379,s213,s731,s401,s442,s212,s219,s355,s218,s691,s351,s733,s792,s240,s357,s417,s435,s732,s416,s418,s432,s659,s738,s815,s737,s235]) ).
cnf(s817,plain,
( ~ spl42_47
| spl42_191 ),
inference(rat,[],[s437,s729,s734,s382,s442]) ).
cnf(s818,plain,
( ~ spl42_189
| spl42_191
| spl42_13
| spl42_50
| spl42_5
| spl42_49 ),
inference(rat,[],[s17,s716,s18,s453,s288,s292,s296,s301,s449,s789,s704,s277,s240,s361,s451,s16,s788,s728,s727,s726]) ).
cnf(s819,plain,
( ~ spl42_17
| spl42_189
| spl42_191
| spl42_190
| spl42_52
| spl42_7
| spl42_8
| spl42_2 ),
inference(rat,[],[s716,s274,s283,s213,s427,s217,s437,s580,s734,s573,s288,s292,s296,s301,s225,s223,s17,s355,s453,s13,s14,s381,s735,s817,s788,s728,s727,s726]) ).
cnf(s820,plain,
( spl42_13
| spl42_2
| spl42_1 ),
inference(rat,[],[s387,s731,s729,s246,s573,s219,s819,s818,s817,s816,s243,s815,s659,s16,s738,s13,s432,s392,s14,s339,s737,s235]) ).
cnf(s821,plain,
( ~ spl42_35
| ~ spl42_191
| spl42_2
| spl42_1 ),
inference(rat,[],[s813,s220,s731,s658,s397,s226,s211,s427,s428,s793,s690,s733,s372,s374,s413,s737,s235,s238,s405,s429,s367,s736,s386,s820,s418,s416]) ).
cnf(s822,plain,
( ~ spl42_191
| spl42_2
| spl42_1 ),
inference(rat,[],[s717,s298,s19,s574,s659,s219,s442,s731,s397,s211,s270,s274,s395,s17,s214,s226,s21,s20,s349,s355,s409,s383,s691,s218,s18,s733,s240,s417,s435,s732,s243,s821,s416,s418,s13,s432,s14,s339,s737,s235,s457,s238,s405,s429,s736,s386,s820,s788,s728,s727,s726]) ).
cnf(s823,plain,
( ~ spl42_183
| spl42_47 ),
inference(rat,[],[s387,s731,s245,s467]) ).
cnf(s825,plain,
( ~ spl42_189
| spl42_191
| spl42_15
| spl42_5 ),
inference(rat,[],[s452,s219,s216,s574,s435,s704,s240,s451,s455,s573,s246,s322,s823,s817,s721]) ).
cnf(s826,plain,
( spl42_2
| spl42_1 ),
inference(rat,[],[s716,s270,s274,s279,s283,s213,s427,s217,s825,s437,s580,s734,s297,s573,s289,s293,s302,s246,s322,s823,s817,s822,s386,s820,s381,s14,s735,s339,s432,s737,s13,s235,s788,s728,s727,s726,s721]) ).
cnf(s827,plain,
( ~ spl42_25
| ~ spl42_31
| ~ spl42_35 ),
inference(rat,[],[s415,s222,s226,s398,s425,s413,s374,s423,s414]) ).
cnf(s828,plain,
( ~ spl42_31
| ~ spl42_35 ),
inference(rat,[],[s429,s226,s241,s658,s220,s827,s362,s414,s374,s372]) ).
cnf(s829,plain,
( ~ spl42_47
| spl42_31
| spl42_3 ),
inference(rat,[],[s658,s219,s225,s353,s409,s239,s215,s397,s734,s382,s442,s469,s342,s735]) ).
cnf(s830,plain,
( ~ spl42_189
| spl42_17
| spl42_19
| spl42_23
| spl42_5 ),
inference(rat,[],[s386,s789,s216,s361,s455]) ).
cnf(s831,plain,
( ~ spl42_35
| ~ spl42_191
| spl42_1 ),
inference(rat,[],[s238,s211,s351,s395,s218,s217,s830,s353,s409,s454,s221,s440,s734,s388,s397,s731,s829,s242,s828,s435,s449,s733,s413,s393,s469,s339,s735,s407,s826,s418,s416]) ).
cnf(s832,plain,
( ~ spl42_191
| spl42_1 ),
inference(rat,[],[s408,s221,s225,s440,s573,s734,s397,s731,s829,s242,s414,s226,s383,s429,s733,s736,s435,s686,s732,s243,s831,s416,s418,s342,s339,s735,s407,s826]) ).
cnf(s833,plain,
( ~ spl42_189
| spl42_1 ),
inference(rat,[],[s398,s222,s738,s422,s423,s386,s689,s704,s215,s825,s240,s451,s455,s469,s735,s407,s826,s397,s734,s573,s246,s322,s823,s817,s832,s721]) ).
cnf(s834,plain,
spl42_1,
inference(rat,[],[s574,s219,s704,s353,s465,s221,s215,s242,s414,s217,s833,s397,s437,s734,s461,s573,s246,s322,s823,s817,s832,s339,s469,s735,s393,s407,s826,s721]) ).
cnf(s835,plain,
~ spl42_2,
inference(rat,[],[s448,s834]) ).
cnf(s836,plain,
~ spl42_3,
inference(rat,[],[s438,s834]) ).
cnf(s837,plain,
~ spl42_4,
inference(rat,[],[s363,s834]) ).
cnf(s839,plain,
spl42_7,
inference(rat,[],[s735,s836]) ).
cnf(s840,plain,
~ spl42_5,
inference(rat,[],[s469,s839]) ).
cnf(s841,plain,
~ spl42_8,
inference(rat,[],[s342,s839]) ).
cnf(s842,plain,
~ spl42_6,
inference(rat,[],[s339,s839]) ).
cnf(s849,plain,
( ~ spl42_35
| ~ spl42_191 ),
inference(rat,[],[s830,s353,s454,s217,s221,s427,s440,s213,s734,s380,s388,s397,s731,s435,s690,s829,s242,s733,s828,s413,s418,s416,s840,s837,s842,s835,s836]) ).
cnf(s850,plain,
~ spl42_191,
inference(rat,[],[s408,s221,s225,s440,s573,s734,s397,s731,s829,s242,s414,s226,s383,s429,s733,s736,s435,s686,s732,s243,s849,s416,s418,s842,s841,s836]) ).
cnf(s851,plain,
~ spl42_47,
inference(rat,[],[s817,s850]) ).
cnf(s853,plain,
~ spl42_183,
inference(rat,[],[s823,s851]) ).
cnf(s855,plain,
spl42_187,
inference(rat,[],[s322,s850,s721,s853]) ).
cnf(s856,plain,
spl42_48,
inference(rat,[],[s246,s855]) ).
cnf(s861,plain,
~ spl42_45,
inference(rat,[],[s573,s856]) ).
cnf(s865,plain,
spl42_41,
inference(rat,[],[s734,s861]) ).
cnf(s866,plain,
~ spl42_42,
inference(rat,[],[s580,s865]) ).
cnf(s867,plain,
~ spl42_44,
inference(rat,[],[s437,s865]) ).
cnf(s868,plain,
~ spl42_43,
inference(rat,[],[s397,s865]) ).
cnf(s869,plain,
~ spl42_189,
inference(rat,[],[s423,s213,s215,s451,s455,s835,s866,s836,s868]) ).
cnf(s870,plain,
spl42_32,
inference(rat,[],[s217,s867,s837,s869]) ).
cnf(s871,plain,
~ spl42_30,
inference(rat,[],[s427,s870]) ).
cnf(s872,plain,
~ spl42_31,
inference(rat,[],[s414,s870]) ).
cnf(s874,plain,
spl42_159,
inference(rat,[],[s213,s866,s835,s871]) ).
cnf(s876,plain,
spl42_163,
inference(rat,[],[s215,s868,s836,s872]) ).
cnf(s880,plain,
$false,
inference(rat,[],[s464,s876,s874]) ).
fof(f5151,plain,
$false,
inference(avatar_sat_refutation,[],[s880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n019.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:31:04 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.44/1.35 % (146154)Detected formulas, will run a generic FOF schedule.
% 4.44/1.35 % (146159)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2871239474:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.44/1.35 % (146160)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=711190120:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.44/1.35 % (146163)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4248892671:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.44/1.35 % (146165)dis-21_1_sil=8000:lcm=predicate:random_seed=1755129829:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.44/1.35 % (146164)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=979453684:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.44/1.35 % (146162)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1866163335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.44/1.35 % (146161)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2123579013:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.44/1.35 % (146165)Refutation not found, incomplete strategy
% 4.44/1.35 % (146165)------------------------------
% 4.44/1.35 % (146165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146165)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146165)Termination reason: Refutation not found, incomplete strategy
% 4.44/1.35 % (146165)Time elapsed: 0.020 s
% 4.44/1.35 % (146165)Peak memory usage: 89 MB
% 4.44/1.35 % (146165)Instructions burned: 40 (million)
% 4.44/1.35 % (146163)Instruction limit reached!
% 4.44/1.35 % (146163)------------------------------
% 4.44/1.35 % (146163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146163)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146163)Termination reason: Instruction limit
% 4.44/1.35 % (146163)Termination phase: Saturation
% 4.44/1.35 % (146163)Time elapsed: 0.050 s
% 4.44/1.35 % (146163)Peak memory usage: 88 MB
% 4.44/1.35 % (146163)Instructions burned: 120 (million)
% 4.44/1.35 % (146162)Instruction limit reached!
% 4.44/1.35 % (146162)------------------------------
% 4.44/1.35 % (146162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146162)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146162)Termination reason: Instruction limit
% 4.44/1.35 % (146162)Termination phase: Saturation
% 4.44/1.35 % (146162)Time elapsed: 0.051 s
% 4.44/1.35 % (146162)Peak memory usage: 90 MB
% 4.44/1.35 % (146162)Instructions burned: 111 (million)
% 4.44/1.35 % (146164)Instruction limit reached!
% 4.44/1.35 % (146164)------------------------------
% 4.44/1.35 % (146164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146164)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146164)Termination reason: Instruction limit
% 4.44/1.35 % (146164)Termination phase: Saturation
% 4.44/1.35 % (146164)Time elapsed: 0.073 s
% 4.44/1.35 % (146164)Peak memory usage: 90 MB
% 4.44/1.35 % (146164)Instructions burned: 140 (million)
% 4.44/1.35 [W928 19:31:04.927382537 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:04.927412496 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:04.927431973 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:04.927438187 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:04.927451097 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:04.927456661 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 % (146173)lrs+10_1_sil=8000:sp=occurrence:random_seed=1739938729:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.44/1.35 % (146174)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1405608787:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.44/1.35 % (146175)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3078356863:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.44/1.35 % (146165)------------------------------
% 4.44/1.35 % (146165)------------------------------
% 4.44/1.35 % (146174)Instruction limit reached!
% 4.44/1.35 % (146174)------------------------------
% 4.44/1.35 % (146174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146174)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146174)Termination reason: Instruction limit
% 4.44/1.35 % (146174)Termination phase: Saturation
% 4.44/1.35 % (146174)Time elapsed: 0.077 s
% 4.44/1.35 % (146174)Peak memory usage: 90 MB
% 4.44/1.35 % (146174)Instructions burned: 158 (million)
% 4.44/1.35 % (146173)First to succeed.
% 4.44/1.35 % (146175)Also succeeded, but the first one will report.
% 4.44/1.35 % (146173)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-146154"
% 4.44/1.35 [W928 19:31:05.145149972 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.145184915 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.145220195 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.145231032 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.145269418 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.145279798 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147634849 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147662975 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147698525 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147710755 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147737902 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 [W928 19:31:05.147748989 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.44/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.44/1.35 % (146179)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3825708205:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.44/1.35 % (146180)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1934642490:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.44/1.35 % (146180)Instruction limit reached!
% 4.44/1.35 % (146180)------------------------------
% 4.44/1.35 % (146180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.35 % (146180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.35 % (146180)CaDiCaL version: 2.1.3
% 4.44/1.35 % (146180)Termination reason: Instruction limit
% 4.44/1.35 % (146180)Termination phase: Saturation
% 4.44/1.35 % (146180)Time elapsed: 0.105 s
% 4.44/1.35 % (146180)Peak memory usage: 88 MB
% 4.44/1.35 % (146180)Instructions burned: 295 (million)
% 4.44/1.35 % (146173)Refutation found. Thanks to Tanya!
% 4.44/1.35 % SZS status Theorem for theBenchmark
% 4.44/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.44 % (146173)------------------------------
% 5.29/1.44 % (146173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.44 % (146173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.44 % (146173)CaDiCaL version: 2.1.3
% 5.29/1.44 % (146173)Termination reason: Refutation
% 5.29/1.44 % (146173)Time elapsed: 0.113 s
% 5.29/1.44 % (146173)Peak memory usage: 91 MB
% 5.29/1.44 % (146173)Instructions burned: 234 (million)
% 5.29/1.44 % (146173)------------------------------
% 5.29/1.44 % (146173)------------------------------
% 5.29/1.44 % (146154)Success in time 0.691 s
% 5.29/1.44 % Vampire exiting
%------------------------------------------------------------------------------