%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG112+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:11:11 AM UTC 2026
% Result : Theorem 5.21s 1.44s
% Output : Refutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 216
% Syntax : Number of formulae : 1896 ( 114 unt; 200 def)
% Number of atoms : 6630 (2406 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 8075 (3341 ~;4014 |; 538 &)
% ( 182 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 202 ( 200 usr; 201 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(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = op2(e20,op2(op2(e20,e20),e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/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,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| sP14
| sP13
| sP12 ),
inference(definition_folding,[],[f11,f36,f35,f34]) ).
fof(f38,definition,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| sP17
| sP16
| sP15 ),
inference(definition_folding,[],[f10,f40,f39,f38]) ).
fof(f45,plain,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f46,plain,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f47,plain,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f54,plain,
( ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f55,plain,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f56,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f57,plain,
( ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f59,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f74,plain,
( e21 != h2(e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
( e22 != h2(e12)
| ~ sP7 ),
inference(cnf_transformation,[],[f46]) ).
fof(f80,plain,
( e23 != h2(e13)
| ~ sP6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| e20 != h2(e10)
| sP8
| sP7
| sP6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f129,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f132,plain,
op2(e21,op2(op2(e21,e21),e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f133,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f134,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f135,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f137,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f140,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f141,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f142,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f144,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f145,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f146,plain,
( e23 = op2(op2(e23,e21),op2(e23,e21))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f148,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f149,plain,
( e20 = op2(op2(e20,e21),op2(e20,e21))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f150,plain,
( e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f151,plain,
( e22 = op2(op2(e22,e22),op2(e22,e22))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f152,plain,
( e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f153,plain,
( e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f155,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f156,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f157,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f158,plain,
( e23 = op2(op2(e23,e20),op2(e23,e20))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f159,plain,
( e22 = op2(op2(e22,e20),op2(e22,e20))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
( e21 = op2(op2(e21,e20),op2(e21,e20))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f162,plain,
( e13 = op1(op1(e13,e11),op1(e13,e11))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f165,plain,
( e10 = op1(op1(e10,e11),op1(e10,e11))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f166,plain,
( e13 = op1(op1(e13,e12),op1(e13,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f167,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f168,plain,
( e11 = op1(op1(e11,e12),op1(e11,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f169,plain,
( e10 = op1(op1(e10,e12),op1(e10,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f170,plain,
( e13 = op1(op1(e13,e13),op1(e13,e13))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f172,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f173,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f175,plain,
( e12 = op1(op1(e12,e10),op1(e12,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f176,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f177,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f194,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f195,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f196,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f197,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f198,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f199,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f200,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f201,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f202,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f203,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f204,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f205,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f206,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f207,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f240,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f250,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f254,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f257,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f259,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f263,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f279,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f281,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f282,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f283,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f285,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f287,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f295,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f303,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f304,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f305,plain,
( e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f306,plain,
( e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f307,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f308,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f309,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f311,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f312,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f313,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f314,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f315,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f316,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f318,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f319,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f322,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f323,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f326,plain,
( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f327,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f328,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f329,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f330,plain,
( op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f331,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f332,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f333,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f334,plain,
( e20 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f338,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
( e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f366,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f370,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f371,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f374,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f376,plain,
( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f379,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f380,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f381,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f382,plain,
( e10 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f383,plain,
( e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f385,plain,
( e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f390,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f393,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f394,plain,
( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f395,plain,
( e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f397,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f399,definition,
( spl18_1
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f400,plain,
( e13 != op1(e13,e13)
| spl18_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f401,plain,
( e13 = op1(e13,e13)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl18_2
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f405,plain,
( e12 = op1(e13,e13)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f407,definition,
( spl18_3
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f409,plain,
( e11 = op1(e13,e13)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl18_4
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f413,plain,
( e10 = op1(e13,e13)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl18_1
| spl18_2
| spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f382,f411,f407,f403,f399]) ).
fof(f416,definition,
( spl18_5
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f418,plain,
( e13 = op1(e13,e12)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl18_6
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f422,plain,
( e12 = op1(e13,e12)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl18_7
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f426,plain,
( e11 = op1(e13,e12)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl18_8
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f430,plain,
( e10 = op1(e13,e12)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f431,plain,
( spl18_5
| spl18_6
| spl18_7
| spl18_8 ),
inference(avatar_split_clause,[],[f383,f428,f424,f420,f416]) ).
fof(f433,definition,
( spl18_9
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f435,plain,
( e13 = op1(e13,e11)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl18_10
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f439,plain,
( e12 = op1(e13,e11)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl18_11
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f443,plain,
( e11 = op1(e13,e11)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,definition,
( spl18_12
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f447,plain,
( e10 = op1(e13,e11)
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f450,definition,
( spl18_13
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f452,plain,
( e13 = op1(e13,e10)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl18_14
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f456,plain,
( e12 = op1(e13,e10)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl18_15
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f460,plain,
( e11 = op1(e13,e10)
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f462,definition,
( spl18_16
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f464,plain,
( e10 = op1(e13,e10)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,plain,
( spl18_13
| spl18_14
| spl18_15
| spl18_16 ),
inference(avatar_split_clause,[],[f385,f462,f458,f454,f450]) ).
fof(f467,definition,
( spl18_17
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f469,plain,
( e13 = op1(e12,e13)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl18_18
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f473,plain,
( e12 = op1(e12,e13)
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f475,definition,
( spl18_19
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f477,plain,
( e11 = op1(e12,e13)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f484,definition,
( spl18_21
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f485,plain,
( e13 != op1(e12,e12)
| spl18_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( e13 = op1(e12,e12)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f488,definition,
( spl18_22
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f490,plain,
( e12 = op1(e12,e12)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f492,definition,
( spl18_23
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f494,plain,
( e11 = op1(e12,e12)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f496,definition,
( spl18_24
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f498,plain,
( e10 = op1(e12,e12)
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f501,definition,
( spl18_25
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f503,plain,
( e13 = op1(e12,e11)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl18_26
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f507,plain,
( e12 = op1(e12,e11)
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl18_27
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f511,plain,
( e11 = op1(e12,e11)
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl18_28
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f515,plain,
( e10 = op1(e12,e11)
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f518,definition,
( spl18_29
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f520,plain,
( e13 = op1(e12,e10)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl18_30
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f524,plain,
( e12 = op1(e12,e10)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl18_31
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f528,plain,
( e11 = op1(e12,e10)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f530,definition,
( spl18_32
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f532,plain,
( e10 = op1(e12,e10)
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f535,definition,
( spl18_33
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f537,plain,
( e13 = op1(e11,e13)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f539,definition,
( spl18_34
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f541,plain,
( e12 = op1(e11,e13)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f543,definition,
( spl18_35
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_35])],[avatar_definition]) ).
fof(f545,plain,
( e11 = op1(e11,e13)
| ~ spl18_35 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl18_36
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
fof(f549,plain,
( e10 = op1(e11,e13)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,plain,
( spl18_33
| spl18_34
| spl18_35
| spl18_36 ),
inference(avatar_split_clause,[],[f390,f547,f543,f539,f535]) ).
fof(f552,definition,
( spl18_37
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f554,plain,
( e13 = op1(e11,e12)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl18_38
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_38])],[avatar_definition]) ).
fof(f558,plain,
( e12 = op1(e11,e12)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl18_39
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
fof(f562,plain,
( e11 = op1(e11,e12)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl18_40
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
fof(f566,plain,
( e10 = op1(e11,e12)
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f569,definition,
( spl18_41
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_41])],[avatar_definition]) ).
fof(f571,plain,
( e13 = op1(e11,e11)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,definition,
( spl18_42
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_42])],[avatar_definition]) ).
fof(f575,plain,
( e12 = op1(e11,e11)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,definition,
( spl18_43
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_43])],[avatar_definition]) ).
fof(f579,plain,
( e11 = op1(e11,e11)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f581,definition,
( spl18_44
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_44])],[avatar_definition]) ).
fof(f583,plain,
( e10 = op1(e11,e11)
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f586,definition,
( spl18_45
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f588,plain,
( e13 = op1(e11,e10)
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f590,definition,
( spl18_46
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_46])],[avatar_definition]) ).
fof(f592,plain,
( e12 = op1(e11,e10)
| ~ spl18_46 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f594,definition,
( spl18_47
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_47])],[avatar_definition]) ).
fof(f596,plain,
( e11 = op1(e11,e10)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl18_48
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_48])],[avatar_definition]) ).
fof(f600,plain,
( e10 = op1(e11,e10)
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl18_45
| spl18_46
| spl18_47
| spl18_48 ),
inference(avatar_split_clause,[],[f393,f598,f594,f590,f586]) ).
fof(f603,definition,
( spl18_49
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f605,plain,
( e13 = op1(e10,e13)
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl18_50
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_50])],[avatar_definition]) ).
fof(f609,plain,
( e12 = op1(e10,e13)
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f611,definition,
( spl18_51
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_51])],[avatar_definition]) ).
fof(f613,plain,
( e11 = op1(e10,e13)
| ~ spl18_51 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl18_52
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_52])],[avatar_definition]) ).
fof(f617,plain,
( e10 = op1(e10,e13)
| ~ spl18_52 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_52 ),
inference(avatar_split_clause,[],[f394,f615,f611,f607,f603]) ).
fof(f620,definition,
( spl18_53
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_53])],[avatar_definition]) ).
fof(f622,plain,
( e13 = op1(e10,e12)
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,definition,
( spl18_54
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_54])],[avatar_definition]) ).
fof(f626,plain,
( e12 = op1(e10,e12)
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl18_55
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f630,plain,
( e11 = op1(e10,e12)
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f632,definition,
( spl18_56
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f634,plain,
( e10 = op1(e10,e12)
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f635,plain,
( spl18_53
| spl18_54
| spl18_55
| spl18_56 ),
inference(avatar_split_clause,[],[f395,f632,f628,f624,f620]) ).
fof(f637,definition,
( spl18_57
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f639,plain,
( e13 = op1(e10,e11)
| ~ spl18_57 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl18_58
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_58])],[avatar_definition]) ).
fof(f643,plain,
( e12 = op1(e10,e11)
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f645,definition,
( spl18_59
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_59])],[avatar_definition]) ).
fof(f647,plain,
( e11 = op1(e10,e11)
| ~ spl18_59 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f649,definition,
( spl18_60
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_60])],[avatar_definition]) ).
fof(f651,plain,
( e10 = op1(e10,e11)
| ~ spl18_60 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f654,definition,
( spl18_61
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl18_61])],[avatar_definition]) ).
fof(f655,plain,
( op1(e10,e10) != e13
| spl18_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( op1(e10,e10) = e13
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl18_62
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl18_62])],[avatar_definition]) ).
fof(f660,plain,
( op1(e10,e10) = e12
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl18_63
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl18_63])],[avatar_definition]) ).
fof(f664,plain,
( op1(e10,e10) = e11
| ~ spl18_63 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl18_64
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl18_64])],[avatar_definition]) ).
fof(f668,plain,
( e10 = op1(e10,e10)
| ~ spl18_64 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f669,plain,
( spl18_61
| spl18_62
| spl18_63
| spl18_64 ),
inference(avatar_split_clause,[],[f397,f666,f662,f658,f654]) ).
fof(f670,plain,
( spl18_1
| spl18_17
| spl18_33
| spl18_49 ),
inference(avatar_split_clause,[],[f350,f603,f535,f467,f399]) ).
fof(f671,plain,
( spl18_1
| spl18_5
| spl18_9
| spl18_13 ),
inference(avatar_split_clause,[],[f351,f450,f433,f416,f399]) ).
fof(f672,plain,
( spl18_2
| spl18_18
| spl18_34
| spl18_50 ),
inference(avatar_split_clause,[],[f352,f607,f539,f471,f403]) ).
fof(f673,plain,
( spl18_2
| spl18_6
| spl18_10
| spl18_14 ),
inference(avatar_split_clause,[],[f353,f454,f437,f420,f403]) ).
fof(f674,plain,
( spl18_3
| spl18_19
| spl18_35
| spl18_51 ),
inference(avatar_split_clause,[],[f354,f611,f543,f475,f407]) ).
fof(f675,plain,
( spl18_3
| spl18_7
| spl18_11
| spl18_15 ),
inference(avatar_split_clause,[],[f355,f458,f441,f424,f407]) ).
fof(f677,plain,
( spl18_4
| spl18_8
| spl18_12
| spl18_16 ),
inference(avatar_split_clause,[],[f357,f462,f445,f428,f411]) ).
fof(f678,plain,
( spl18_5
| spl18_21
| spl18_37
| spl18_53 ),
inference(avatar_split_clause,[],[f358,f620,f552,f484,f416]) ).
fof(f679,plain,
( spl18_17
| spl18_21
| spl18_25
| spl18_29 ),
inference(avatar_split_clause,[],[f359,f518,f501,f484,f467]) ).
fof(f680,plain,
( spl18_6
| spl18_22
| spl18_38
| spl18_54 ),
inference(avatar_split_clause,[],[f360,f624,f556,f488,f420]) ).
fof(f681,plain,
( spl18_18
| spl18_22
| spl18_26
| spl18_30 ),
inference(avatar_split_clause,[],[f361,f522,f505,f488,f471]) ).
fof(f682,plain,
( spl18_7
| spl18_23
| spl18_39
| spl18_55 ),
inference(avatar_split_clause,[],[f362,f628,f560,f492,f424]) ).
fof(f683,plain,
( spl18_19
| spl18_23
| spl18_27
| spl18_31 ),
inference(avatar_split_clause,[],[f363,f526,f509,f492,f475]) ).
fof(f686,plain,
( spl18_9
| spl18_25
| spl18_41
| spl18_57 ),
inference(avatar_split_clause,[],[f366,f637,f569,f501,f433]) ).
fof(f690,plain,
( spl18_11
| spl18_27
| spl18_43
| spl18_59 ),
inference(avatar_split_clause,[],[f370,f645,f577,f509,f441]) ).
fof(f691,plain,
( spl18_35
| spl18_39
| spl18_43
| spl18_47 ),
inference(avatar_split_clause,[],[f371,f594,f577,f560,f543]) ).
fof(f693,plain,
( spl18_36
| spl18_40
| spl18_44
| spl18_48 ),
inference(avatar_split_clause,[],[f373,f598,f581,f564,f547]) ).
fof(f694,plain,
( spl18_13
| spl18_29
| spl18_45
| spl18_61 ),
inference(avatar_split_clause,[],[f374,f654,f586,f518,f450]) ).
fof(f695,plain,
( spl18_49
| spl18_53
| spl18_57
| spl18_61 ),
inference(avatar_split_clause,[],[f375,f654,f637,f620,f603]) ).
fof(f696,plain,
( spl18_14
| spl18_30
| spl18_46
| spl18_62 ),
inference(avatar_split_clause,[],[f376,f658,f590,f522,f454]) ).
fof(f697,plain,
( spl18_50
| spl18_54
| spl18_58
| spl18_62 ),
inference(avatar_split_clause,[],[f377,f658,f641,f624,f607]) ).
fof(f698,plain,
( spl18_15
| spl18_31
| spl18_47
| spl18_63 ),
inference(avatar_split_clause,[],[f378,f662,f594,f526,f458]) ).
fof(f699,plain,
( spl18_51
| spl18_55
| spl18_59
| spl18_63 ),
inference(avatar_split_clause,[],[f379,f662,f645,f628,f611]) ).
fof(f700,plain,
( spl18_16
| spl18_32
| spl18_48
| spl18_64 ),
inference(avatar_split_clause,[],[f380,f666,f598,f530,f462]) ).
fof(f701,plain,
( spl18_52
| spl18_56
| spl18_60
| spl18_64 ),
inference(avatar_split_clause,[],[f381,f666,f649,f632,f615]) ).
fof(f703,definition,
( spl18_65
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_65])],[avatar_definition]) ).
fof(f705,plain,
( e23 = op2(e23,e23)
| ~ spl18_65 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f707,definition,
( spl18_66
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_66])],[avatar_definition]) ).
fof(f709,plain,
( e22 = op2(e23,e23)
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f711,definition,
( spl18_67
<=> e21 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_67])],[avatar_definition]) ).
fof(f713,plain,
( e21 = op2(e23,e23)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f715,definition,
( spl18_68
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_68])],[avatar_definition]) ).
fof(f717,plain,
( e20 = op2(e23,e23)
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f718,plain,
( spl18_65
| spl18_66
| spl18_67
| spl18_68 ),
inference(avatar_split_clause,[],[f334,f715,f711,f707,f703]) ).
fof(f720,definition,
( spl18_69
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_69])],[avatar_definition]) ).
fof(f722,plain,
( e23 = op2(e23,e22)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f724,definition,
( spl18_70
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f726,plain,
( e22 = op2(e23,e22)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,definition,
( spl18_71
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_71])],[avatar_definition]) ).
fof(f730,plain,
( e21 = op2(e23,e22)
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,definition,
( spl18_72
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_72])],[avatar_definition]) ).
fof(f734,plain,
( e20 = op2(e23,e22)
| ~ spl18_72 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f737,definition,
( spl18_73
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_73])],[avatar_definition]) ).
fof(f739,plain,
( e23 = op2(e23,e21)
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl18_74
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_74])],[avatar_definition]) ).
fof(f743,plain,
( e22 = op2(e23,e21)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl18_75
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_75])],[avatar_definition]) ).
fof(f747,plain,
( e21 = op2(e23,e21)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl18_76
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_76])],[avatar_definition]) ).
fof(f751,plain,
( e20 = op2(e23,e21)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f754,definition,
( spl18_77
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_77])],[avatar_definition]) ).
fof(f756,plain,
( e23 = op2(e23,e20)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f758,definition,
( spl18_78
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_78])],[avatar_definition]) ).
fof(f760,plain,
( e22 = op2(e23,e20)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl18_79
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_79])],[avatar_definition]) ).
fof(f764,plain,
( e21 = op2(e23,e20)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl18_80
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_80])],[avatar_definition]) ).
fof(f768,plain,
( e20 = op2(e23,e20)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f771,definition,
( spl18_81
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_81])],[avatar_definition]) ).
fof(f773,plain,
( e23 = op2(e22,e23)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f775,definition,
( spl18_82
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_82])],[avatar_definition]) ).
fof(f777,plain,
( e22 = op2(e22,e23)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl18_83
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_83])],[avatar_definition]) ).
fof(f781,plain,
( e21 = op2(e22,e23)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl18_84
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_84])],[avatar_definition]) ).
fof(f785,plain,
( e20 = op2(e22,e23)
| ~ spl18_84 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,plain,
( spl18_81
| spl18_82
| spl18_83
| spl18_84 ),
inference(avatar_split_clause,[],[f338,f783,f779,f775,f771]) ).
fof(f788,definition,
( spl18_85
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).
fof(f790,plain,
( e23 = op2(e22,e22)
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl18_86
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_86])],[avatar_definition]) ).
fof(f794,plain,
( e22 = op2(e22,e22)
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl18_87
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_87])],[avatar_definition]) ).
fof(f798,plain,
( e21 = op2(e22,e22)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl18_88
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_88])],[avatar_definition]) ).
fof(f802,plain,
( e20 = op2(e22,e22)
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl18_85
| spl18_86
| spl18_87
| spl18_88 ),
inference(avatar_split_clause,[],[f339,f800,f796,f792,f788]) ).
fof(f805,definition,
( spl18_89
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_89])],[avatar_definition]) ).
fof(f807,plain,
( e23 = op2(e22,e21)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl18_90
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_90])],[avatar_definition]) ).
fof(f811,plain,
( e22 = op2(e22,e21)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl18_91
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f815,plain,
( e21 = op2(e22,e21)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl18_92
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_92])],[avatar_definition]) ).
fof(f819,plain,
( e20 = op2(e22,e21)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f822,definition,
( spl18_93
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_93])],[avatar_definition]) ).
fof(f824,plain,
( e23 = op2(e22,e20)
| ~ spl18_93 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl18_94
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_94])],[avatar_definition]) ).
fof(f828,plain,
( e22 = op2(e22,e20)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl18_95
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_95])],[avatar_definition]) ).
fof(f832,plain,
( e21 = op2(e22,e20)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl18_96
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_96])],[avatar_definition]) ).
fof(f836,plain,
( e20 = op2(e22,e20)
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f839,definition,
( spl18_97
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_97])],[avatar_definition]) ).
fof(f841,plain,
( e23 = op2(e21,e23)
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f843,definition,
( spl18_98
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_98])],[avatar_definition]) ).
fof(f845,plain,
( e22 = op2(e21,e23)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl18_99
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_99])],[avatar_definition]) ).
fof(f849,plain,
( e21 = op2(e21,e23)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f851,definition,
( spl18_100
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_100])],[avatar_definition]) ).
fof(f853,plain,
( e20 = op2(e21,e23)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f854,plain,
( spl18_97
| spl18_98
| spl18_99
| spl18_100 ),
inference(avatar_split_clause,[],[f342,f851,f847,f843,f839]) ).
fof(f856,definition,
( spl18_101
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f858,plain,
( e23 = op2(e21,e22)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f860,definition,
( spl18_102
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_102])],[avatar_definition]) ).
fof(f862,plain,
( e22 = op2(e21,e22)
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl18_103
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_103])],[avatar_definition]) ).
fof(f866,plain,
( e21 = op2(e21,e22)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl18_104
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f870,plain,
( e20 = op2(e21,e22)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f873,definition,
( spl18_105
<=> e23 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_105])],[avatar_definition]) ).
fof(f875,plain,
( e23 = op2(e21,e21)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f877,definition,
( spl18_106
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f879,plain,
( e22 = op2(e21,e21)
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl18_107
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_107])],[avatar_definition]) ).
fof(f883,plain,
( e21 = op2(e21,e21)
| ~ spl18_107 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f890,definition,
( spl18_109
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_109])],[avatar_definition]) ).
fof(f892,plain,
( e23 = op2(e21,e20)
| ~ spl18_109 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f894,definition,
( spl18_110
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_110])],[avatar_definition]) ).
fof(f896,plain,
( e22 = op2(e21,e20)
| ~ spl18_110 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f898,definition,
( spl18_111
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_111])],[avatar_definition]) ).
fof(f900,plain,
( e21 = op2(e21,e20)
| ~ spl18_111 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,definition,
( spl18_112
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_112])],[avatar_definition]) ).
fof(f904,plain,
( e20 = op2(e21,e20)
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f905,plain,
( spl18_109
| spl18_110
| spl18_111
| spl18_112 ),
inference(avatar_split_clause,[],[f345,f902,f898,f894,f890]) ).
fof(f907,definition,
( spl18_113
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_113])],[avatar_definition]) ).
fof(f909,plain,
( e23 = op2(e20,e23)
| ~ spl18_113 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f911,definition,
( spl18_114
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_114])],[avatar_definition]) ).
fof(f913,plain,
( e22 = op2(e20,e23)
| ~ spl18_114 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f915,definition,
( spl18_115
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_115])],[avatar_definition]) ).
fof(f917,plain,
( e21 = op2(e20,e23)
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl18_116
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).
fof(f921,plain,
( e20 = op2(e20,e23)
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f924,definition,
( spl18_117
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_117])],[avatar_definition]) ).
fof(f926,plain,
( e23 = op2(e20,e22)
| ~ spl18_117 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f928,definition,
( spl18_118
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_118])],[avatar_definition]) ).
fof(f930,plain,
( e22 = op2(e20,e22)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f932,definition,
( spl18_119
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_119])],[avatar_definition]) ).
fof(f934,plain,
( e21 = op2(e20,e22)
| ~ spl18_119 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f936,definition,
( spl18_120
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_120])],[avatar_definition]) ).
fof(f938,plain,
( e20 = op2(e20,e22)
| ~ spl18_120 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f941,definition,
( spl18_121
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).
fof(f943,plain,
( e23 = op2(e20,e21)
| ~ spl18_121 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f945,definition,
( spl18_122
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_122])],[avatar_definition]) ).
fof(f947,plain,
( e22 = op2(e20,e21)
| ~ spl18_122 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,definition,
( spl18_123
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_123])],[avatar_definition]) ).
fof(f951,plain,
( e21 = op2(e20,e21)
| ~ spl18_123 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,definition,
( spl18_124
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_124])],[avatar_definition]) ).
fof(f955,plain,
( e20 = op2(e20,e21)
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f958,definition,
( spl18_125
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl18_125])],[avatar_definition]) ).
fof(f960,plain,
( op2(e20,e20) = e23
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl18_126
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[spl18_126])],[avatar_definition]) ).
fof(f964,plain,
( op2(e20,e20) = e22
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl18_127
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[spl18_127])],[avatar_definition]) ).
fof(f968,plain,
( op2(e20,e20) = e21
| ~ spl18_127 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl18_128
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl18_128])],[avatar_definition]) ).
fof(f972,plain,
( e20 = op2(e20,e20)
| ~ spl18_128 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(avatar_split_clause,[],[f302,f907,f839,f771,f703]) ).
fof(f975,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(avatar_split_clause,[],[f303,f754,f737,f720,f703]) ).
fof(f976,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(avatar_split_clause,[],[f304,f911,f843,f775,f707]) ).
fof(f977,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(avatar_split_clause,[],[f305,f758,f741,f724,f707]) ).
fof(f978,plain,
( spl18_67
| spl18_83
| spl18_99
| spl18_115 ),
inference(avatar_split_clause,[],[f306,f915,f847,f779,f711]) ).
fof(f979,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(avatar_split_clause,[],[f307,f762,f745,f728,f711]) ).
fof(f980,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(avatar_split_clause,[],[f308,f919,f851,f783,f715]) ).
fof(f981,plain,
( spl18_68
| spl18_72
| spl18_76
| spl18_80 ),
inference(avatar_split_clause,[],[f309,f766,f749,f732,f715]) ).
fof(f982,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(avatar_split_clause,[],[f310,f924,f856,f788,f720]) ).
fof(f983,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(avatar_split_clause,[],[f311,f822,f805,f788,f771]) ).
fof(f984,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(avatar_split_clause,[],[f312,f928,f860,f792,f724]) ).
fof(f985,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(avatar_split_clause,[],[f313,f826,f809,f792,f775]) ).
fof(f986,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(avatar_split_clause,[],[f314,f932,f864,f796,f728]) ).
fof(f987,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(avatar_split_clause,[],[f315,f830,f813,f796,f779]) ).
fof(f988,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(avatar_split_clause,[],[f316,f936,f868,f800,f732]) ).
fof(f990,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(avatar_split_clause,[],[f318,f941,f873,f805,f737]) ).
fof(f991,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(avatar_split_clause,[],[f319,f890,f873,f856,f839]) ).
fof(f994,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(avatar_split_clause,[],[f322,f949,f881,f813,f745]) ).
fof(f995,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(avatar_split_clause,[],[f323,f898,f881,f864,f847]) ).
fof(f998,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(avatar_split_clause,[],[f326,f958,f890,f822,f754]) ).
fof(f999,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(avatar_split_clause,[],[f327,f958,f941,f924,f907]) ).
fof(f1000,plain,
( spl18_78
| spl18_94
| spl18_110
| spl18_126 ),
inference(avatar_split_clause,[],[f328,f962,f894,f826,f758]) ).
fof(f1001,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(avatar_split_clause,[],[f329,f962,f945,f928,f911]) ).
fof(f1002,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(avatar_split_clause,[],[f330,f966,f898,f830,f762]) ).
fof(f1003,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(avatar_split_clause,[],[f331,f966,f949,f932,f915]) ).
fof(f1004,plain,
( spl18_80
| spl18_96
| spl18_112
| spl18_128 ),
inference(avatar_split_clause,[],[f332,f970,f902,f834,f766]) ).
fof(f1005,plain,
( spl18_116
| spl18_120
| spl18_124
| spl18_128 ),
inference(avatar_split_clause,[],[f333,f970,f953,f936,f919]) ).
fof(f1007,definition,
( spl18_129
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl18_129])],[avatar_definition]) ).
fof(f1011,definition,
( spl18_130
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl18_130])],[avatar_definition]) ).
fof(f1015,definition,
( spl18_131
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl18_131])],[avatar_definition]) ).
fof(f1019,definition,
( spl18_132
<=> e13 = op1(op1(e13,e10),op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_132])],[avatar_definition]) ).
fof(f1021,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| ~ spl18_132 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1022,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_132 ),
inference(avatar_split_clause,[],[f174,f1019,f1015,f1011,f1007]) ).
fof(f1024,definition,
( spl18_133
<=> e12 = op1(op1(e12,e10),op1(e12,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_133])],[avatar_definition]) ).
fof(f1026,plain,
( e12 = op1(op1(e12,e10),op1(e12,e10))
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1027,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_133 ),
inference(avatar_split_clause,[],[f175,f1024,f1015,f1011,f1007]) ).
fof(f1029,definition,
( spl18_134
<=> e11 = op1(op1(e11,e10),op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_134])],[avatar_definition]) ).
fof(f1031,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| ~ spl18_134 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_134 ),
inference(avatar_split_clause,[],[f176,f1029,f1015,f1011,f1007]) ).
fof(f1034,definition,
( spl18_135
<=> e10 = op1(op1(e10,e10),op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_135])],[avatar_definition]) ).
fof(f1035,plain,
( e10 != op1(op1(e10,e10),op1(e10,e10))
| spl18_135 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1036,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| ~ spl18_135 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1037,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_135 ),
inference(avatar_split_clause,[],[f177,f1034,f1015,f1011,f1007]) ).
fof(f1039,definition,
( spl18_136
<=> e13 = op1(op1(e13,e13),op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_136])],[avatar_definition]) ).
fof(f1041,plain,
( e13 = op1(op1(e13,e13),op1(e13,e13))
| ~ spl18_136 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1042,plain,
( ~ spl18_129
| spl18_136 ),
inference(avatar_split_clause,[],[f170,f1039,f1007]) ).
fof(f1049,definition,
( spl18_138
<=> e11 = op1(op1(e11,e13),op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_138])],[avatar_definition]) ).
fof(f1050,plain,
( e11 != op1(op1(e11,e13),op1(e11,e13))
| spl18_138 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1051,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| ~ spl18_138 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1052,plain,
( ~ spl18_129
| spl18_138 ),
inference(avatar_split_clause,[],[f172,f1049,f1007]) ).
fof(f1054,definition,
( spl18_139
<=> e10 = op1(op1(e10,e13),op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_139])],[avatar_definition]) ).
fof(f1056,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| ~ spl18_139 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1057,plain,
( ~ spl18_129
| spl18_139 ),
inference(avatar_split_clause,[],[f173,f1054,f1007]) ).
fof(f1059,definition,
( spl18_140
<=> e13 = op1(op1(e13,e12),op1(e13,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_140])],[avatar_definition]) ).
fof(f1061,plain,
( e13 = op1(op1(e13,e12),op1(e13,e12))
| ~ spl18_140 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( ~ spl18_130
| spl18_140 ),
inference(avatar_split_clause,[],[f166,f1059,f1011]) ).
fof(f1064,definition,
( spl18_141
<=> e12 = op1(op1(e12,e12),op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_141])],[avatar_definition]) ).
fof(f1065,plain,
( e12 != op1(op1(e12,e12),op1(e12,e12))
| spl18_141 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1066,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ spl18_141 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,plain,
( ~ spl18_130
| spl18_141 ),
inference(avatar_split_clause,[],[f167,f1064,f1011]) ).
fof(f1069,definition,
( spl18_142
<=> e11 = op1(op1(e11,e12),op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_142])],[avatar_definition]) ).
fof(f1071,plain,
( e11 = op1(op1(e11,e12),op1(e11,e12))
| ~ spl18_142 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1072,plain,
( ~ spl18_130
| spl18_142 ),
inference(avatar_split_clause,[],[f168,f1069,f1011]) ).
fof(f1074,definition,
( spl18_143
<=> e10 = op1(op1(e10,e12),op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_143])],[avatar_definition]) ).
fof(f1076,plain,
( e10 = op1(op1(e10,e12),op1(e10,e12))
| ~ spl18_143 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1077,plain,
( ~ spl18_130
| spl18_143 ),
inference(avatar_split_clause,[],[f169,f1074,f1011]) ).
fof(f1079,definition,
( spl18_144
<=> e13 = op1(op1(e13,e11),op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_144])],[avatar_definition]) ).
fof(f1081,plain,
( e13 = op1(op1(e13,e11),op1(e13,e11))
| ~ spl18_144 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1082,plain,
( ~ spl18_131
| spl18_144 ),
inference(avatar_split_clause,[],[f162,f1079,f1015]) ).
fof(f1094,definition,
( spl18_147
<=> e10 = op1(op1(e10,e11),op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_147])],[avatar_definition]) ).
fof(f1096,plain,
( e10 = op1(op1(e10,e11),op1(e10,e11))
| ~ spl18_147 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1097,plain,
( ~ spl18_131
| spl18_147 ),
inference(avatar_split_clause,[],[f165,f1094,f1015]) ).
fof(f1099,definition,
( spl18_148
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl18_148])],[avatar_definition]) ).
fof(f1103,definition,
( spl18_149
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl18_149])],[avatar_definition]) ).
fof(f1107,definition,
( spl18_150
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl18_150])],[avatar_definition]) ).
fof(f1111,definition,
( spl18_151
<=> e23 = op2(op2(e23,e20),op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_151])],[avatar_definition]) ).
fof(f1113,plain,
( e23 = op2(op2(e23,e20),op2(e23,e20))
| ~ spl18_151 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1114,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_151 ),
inference(avatar_split_clause,[],[f158,f1111,f1107,f1103,f1099]) ).
fof(f1116,definition,
( spl18_152
<=> e22 = op2(op2(e22,e20),op2(e22,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_152])],[avatar_definition]) ).
fof(f1117,plain,
( e22 != op2(op2(e22,e20),op2(e22,e20))
| spl18_152 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1118,plain,
( e22 = op2(op2(e22,e20),op2(e22,e20))
| ~ spl18_152 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1119,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_152 ),
inference(avatar_split_clause,[],[f159,f1116,f1107,f1103,f1099]) ).
fof(f1121,definition,
( spl18_153
<=> e21 = op2(op2(e21,e20),op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_153])],[avatar_definition]) ).
fof(f1123,plain,
( e21 = op2(op2(e21,e20),op2(e21,e20))
| ~ spl18_153 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1124,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_153 ),
inference(avatar_split_clause,[],[f160,f1121,f1107,f1103,f1099]) ).
fof(f1136,definition,
( spl18_156
<=> e22 = op2(op2(e22,e23),op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_156])],[avatar_definition]) ).
fof(f1138,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| ~ spl18_156 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1139,plain,
( ~ spl18_148
| spl18_156 ),
inference(avatar_split_clause,[],[f155,f1136,f1099]) ).
fof(f1141,definition,
( spl18_157
<=> e21 = op2(op2(e21,e23),op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_157])],[avatar_definition]) ).
fof(f1143,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,plain,
( ~ spl18_148
| spl18_157 ),
inference(avatar_split_clause,[],[f156,f1141,f1099]) ).
fof(f1146,definition,
( spl18_158
<=> e20 = op2(op2(e20,e23),op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_158])],[avatar_definition]) ).
fof(f1148,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| ~ spl18_158 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1149,plain,
( ~ spl18_148
| spl18_158 ),
inference(avatar_split_clause,[],[f157,f1146,f1099]) ).
fof(f1151,definition,
( spl18_159
<=> e23 = op2(op2(e23,e22),op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_159])],[avatar_definition]) ).
fof(f1153,plain,
( e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ spl18_159 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1154,plain,
( ~ spl18_149
| spl18_159 ),
inference(avatar_split_clause,[],[f150,f1151,f1103]) ).
fof(f1156,definition,
( spl18_160
<=> e22 = op2(op2(e22,e22),op2(e22,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_160])],[avatar_definition]) ).
fof(f1158,plain,
( e22 = op2(op2(e22,e22),op2(e22,e22))
| ~ spl18_160 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,plain,
( ~ spl18_149
| spl18_160 ),
inference(avatar_split_clause,[],[f151,f1156,f1103]) ).
fof(f1161,definition,
( spl18_161
<=> e21 = op2(op2(e21,e22),op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_161])],[avatar_definition]) ).
fof(f1163,plain,
( e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1164,plain,
( ~ spl18_149
| spl18_161 ),
inference(avatar_split_clause,[],[f152,f1161,f1103]) ).
fof(f1166,definition,
( spl18_162
<=> e20 = op2(op2(e20,e22),op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_162])],[avatar_definition]) ).
fof(f1168,plain,
( e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ spl18_162 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( ~ spl18_149
| spl18_162 ),
inference(avatar_split_clause,[],[f153,f1166,f1103]) ).
fof(f1171,definition,
( spl18_163
<=> e23 = op2(op2(e23,e21),op2(e23,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_163])],[avatar_definition]) ).
fof(f1173,plain,
( e23 = op2(op2(e23,e21),op2(e23,e21))
| ~ spl18_163 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1174,plain,
( ~ spl18_150
| spl18_163 ),
inference(avatar_split_clause,[],[f146,f1171,f1107]) ).
fof(f1176,definition,
( spl18_164
<=> e22 = op2(op2(e22,e21),op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_164])],[avatar_definition]) ).
fof(f1177,plain,
( e22 != op2(op2(e22,e21),op2(e22,e21))
| spl18_164 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1178,plain,
( e22 = op2(op2(e22,e21),op2(e22,e21))
| ~ spl18_164 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1181,definition,
( spl18_165
<=> e21 = op2(op2(e21,e21),op2(e21,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_165])],[avatar_definition]) ).
fof(f1183,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| ~ spl18_165 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1184,plain,
( ~ spl18_150
| spl18_165 ),
inference(avatar_split_clause,[],[f148,f1181,f1107]) ).
fof(f1186,definition,
( spl18_166
<=> e20 = op2(op2(e20,e21),op2(e20,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_166])],[avatar_definition]) ).
fof(f1188,plain,
( e20 = op2(op2(e20,e21),op2(e20,e21))
| ~ spl18_166 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl18_150
| spl18_166 ),
inference(avatar_split_clause,[],[f149,f1186,f1107]) ).
fof(f1190,plain,
spl18_42,
inference(avatar_split_clause,[],[f144,f573]) ).
fof(f1191,plain,
spl18_106,
inference(avatar_split_clause,[],[f141,f877]) ).
fof(f1193,plain,
e23 = h2(e13),
inference(forward_demodulation,[],[f132,f140]) ).
fof(f1194,plain,
e20 = h2(e10),
inference(forward_demodulation,[],[f134,f142]) ).
fof(f1208,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f119,f135]) ).
fof(f1283,definition,
( spl18_181
<=> e23 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl18_181])],[avatar_definition]) ).
fof(f1284,plain,
( e23 = h3(e12)
| ~ spl18_181 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1334,definition,
( spl18_191
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl18_191])],[avatar_definition]) ).
fof(f1338,definition,
( spl18_192
<=> e23 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl18_192])],[avatar_definition]) ).
fof(f1339,plain,
( e23 = h2(e13)
| ~ spl18_192 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1341,plain,
( ~ spl18_191
| ~ spl18_192 ),
inference(avatar_split_clause,[],[f80,f1338,f1334]) ).
fof(f1354,definition,
( spl18_195
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl18_195])],[avatar_definition]) ).
fof(f1363,definition,
( spl18_197
<=> e22 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl18_197])],[avatar_definition]) ).
fof(f1364,plain,
( e22 = h2(e12)
| ~ spl18_197 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1366,plain,
( ~ spl18_195
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f77,f1363,f1354]) ).
fof(f1374,definition,
( spl18_199
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl18_199])],[avatar_definition]) ).
fof(f1387,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f74,f135]) ).
fof(f1453,plain,
spl18_192,
inference(avatar_split_clause,[],[f1193,f1338]) ).
fof(f1465,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_subsumption_resolution,[],[f1208,f1194]) ).
fof(f1472,plain,
~ spl18_199,
inference(avatar_split_clause,[],[f1387,f1374]) ).
fof(f1484,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1465,f1194]) ).
fof(f1500,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1484,f1194]) ).
fof(f1516,plain,
( h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1500,f137]) ).
fof(f1532,plain,
( h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1516,f1194]) ).
fof(f1548,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1532,f1194]) ).
fof(f1564,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1548,f1194]) ).
fof(f1580,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1564,f135]) ).
fof(f1748,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1580,f135]) ).
fof(f1819,definition,
( spl18_270
<=> e20 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl18_270])],[avatar_definition]) ).
fof(f1820,plain,
( e20 = h1(e12)
| ~ spl18_270 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1821,plain,
( e20 != h1(e12)
| spl18_270 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1832,plain,
( h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1748,f133]) ).
fof(f1837,plain,
( h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1832,f135]) ).
fof(f1841,plain,
( h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1837,f135]) ).
fof(f1845,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1841,f1194]) ).
fof(f1849,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1845,f135]) ).
fof(f1853,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| 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))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1849,f1194]) ).
fof(f1859,definition,
( spl18_273
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_273])],[avatar_definition]) ).
fof(f1861,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl18_273 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1863,definition,
( spl18_274
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_274])],[avatar_definition]) ).
fof(f1865,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl18_274 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1867,definition,
( spl18_275
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_275])],[avatar_definition]) ).
fof(f1869,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl18_275 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1871,definition,
( spl18_276
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_276])],[avatar_definition]) ).
fof(f1873,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl18_276 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1875,definition,
( spl18_277
<=> op2(e20,e21) = h2(op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_277])],[avatar_definition]) ).
fof(f1877,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl18_277 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1879,definition,
( spl18_278
<=> h1(e12) = h2(op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_278])],[avatar_definition]) ).
fof(f1881,plain,
( h1(e12) != h2(op1(e10,e10))
| spl18_278 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1883,definition,
( spl18_279
<=> h2(op1(e10,e12)) = op2(e20,h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_279])],[avatar_definition]) ).
fof(f1885,plain,
( h2(op1(e10,e12)) != op2(e20,h2(e12))
| spl18_279 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1887,definition,
( spl18_280
<=> h2(op1(e10,e13)) = op2(e20,h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_280])],[avatar_definition]) ).
fof(f1889,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| spl18_280 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1891,definition,
( spl18_281
<=> op2(e21,e20) = h2(op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_281])],[avatar_definition]) ).
fof(f1893,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl18_281 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1895,definition,
( spl18_282
<=> h2(e12) = h2(op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_282])],[avatar_definition]) ).
fof(f1897,plain,
( h2(e12) != h2(op1(e11,e11))
| spl18_282 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1899,definition,
( spl18_283
<=> h2(op1(e11,e12)) = op2(e21,h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_283])],[avatar_definition]) ).
fof(f1901,plain,
( h2(op1(e11,e12)) != op2(e21,h2(e12))
| spl18_283 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1903,definition,
( spl18_284
<=> h2(op1(e11,e13)) = op2(e21,h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_284])],[avatar_definition]) ).
fof(f1905,plain,
( h2(op1(e11,e13)) != op2(e21,h2(e13))
| spl18_284 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1907,definition,
( spl18_285
<=> h2(op1(e12,e10)) = op2(h2(e12),e20) ),
introduced(definition,[new_symbols(definition,[spl18_285])],[avatar_definition]) ).
fof(f1909,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl18_285 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1911,definition,
( spl18_286
<=> h2(op1(e12,e11)) = op2(h2(e12),e21) ),
introduced(definition,[new_symbols(definition,[spl18_286])],[avatar_definition]) ).
fof(f1913,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl18_286 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f1915,definition,
( spl18_287
<=> h2(op1(e13,e10)) = op2(h2(e13),e20) ),
introduced(definition,[new_symbols(definition,[spl18_287])],[avatar_definition]) ).
fof(f1917,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl18_287 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f1919,definition,
( spl18_288
<=> h2(op1(e13,e11)) = op2(h2(e13),e21) ),
introduced(definition,[new_symbols(definition,[spl18_288])],[avatar_definition]) ).
fof(f1921,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl18_288 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1929,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e12,e11)) != op2(h2(e12),e21)
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e11,e13)) != op2(e21,h2(e13))
| h2(op1(e11,e12)) != op2(e21,h2(e12))
| h2(e12) != h2(op1(e11,e11))
| op2(e21,e20) != h2(op1(e11,e10))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h1(e12) != h2(op1(e10,e10))
| op2(e20,e21) != h2(op1(e10,e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1853,f135]) ).
fof(f1930,plain,
( spl18_191
| spl18_195
| spl18_199
| ~ spl18_273
| ~ spl18_274
| ~ spl18_275
| ~ spl18_276
| ~ spl18_277
| ~ spl18_278
| ~ spl18_279
| ~ spl18_280
| ~ spl18_281
| ~ spl18_282
| ~ spl18_283
| ~ spl18_284
| ~ spl18_285
| ~ spl18_286
| ~ spl18_287
| ~ spl18_288 ),
inference(avatar_split_clause,[],[f1929,f1919,f1915,f1911,f1907,f1903,f1899,f1895,f1891,f1887,f1883,f1879,f1875,f1871,f1867,f1863,f1859,f1374,f1354,f1334]) ).
fof(f1931,plain,
( e13 = op1(e12,e12)
| ~ spl18_14
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f456]) ).
fof(f1932,plain,
( e12 = op1(e13,e13)
| ~ spl18_29
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f520]) ).
fof(f1933,plain,
( e11 = op1(e13,e13)
| ~ spl18_45
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1031,f588]) ).
fof(f1934,plain,
( e10 = op1(e13,e13)
| ~ spl18_61
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f656]) ).
fof(f1935,plain,
( e23 = op2(e22,e22)
| ~ spl18_78
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f760]) ).
fof(f1936,plain,
( e22 = op2(e23,e23)
| ~ spl18_93
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f824]) ).
fof(f1937,plain,
( e21 = op2(e23,e23)
| ~ spl18_109
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f892]) ).
fof(f1943,plain,
( spl18_3
| ~ spl18_45
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f1933,f1029,f586,f407]) ).
fof(f1944,plain,
( spl18_4
| ~ spl18_61
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f1934,f1034,f654,f411]) ).
fof(f1945,plain,
( spl18_66
| ~ spl18_93
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f1936,f1116,f822,f707]) ).
fof(f1946,plain,
( spl18_67
| ~ spl18_109
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f1937,f1121,f890,f711]) ).
fof(f1948,plain,
( e11 = e12
| ~ spl18_2
| ~ spl18_3 ),
inference(superposition,[],[f409,f405]) ).
fof(f1952,plain,
( $false
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f1948,f202]) ).
fof(f1953,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1957,plain,
( e10 = e12
| ~ spl18_2
| ~ spl18_4 ),
inference(superposition,[],[f413,f405]) ).
fof(f1961,plain,
( $false
| ~ spl18_2
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f1957,f204]) ).
fof(f1962,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1964,plain,
( e10 = op1(e12,e12)
| ~ spl18_62
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f660]) ).
fof(f1965,plain,
( spl18_24
| ~ spl18_62
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f1964,f1034,f658,f496]) ).
fof(f1973,plain,
( e11 = e12
| ~ spl18_22
| ~ spl18_23 ),
inference(forward_demodulation,[],[f490,f494]) ).
fof(f1974,plain,
( $false
| ~ spl18_22
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f1973,f202]) ).
fof(f1975,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1998,plain,
( e11 = e12
| ~ spl18_14
| ~ spl18_15 ),
inference(superposition,[],[f460,f456]) ).
fof(f2002,plain,
( $false
| ~ spl18_14
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f1998,f202]) ).
fof(f2003,plain,
( ~ spl18_14
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2005,plain,
( e13 = op1(e11,e11)
| ~ spl18_15
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f460]) ).
fof(f2006,plain,
( e12 = e13
| ~ spl18_15
| ~ spl18_42
| ~ spl18_132 ),
inference(forward_demodulation,[],[f2005,f575]) ).
fof(f2007,plain,
( $false
| ~ spl18_15
| ~ spl18_42
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f2006,f200]) ).
fof(f2008,plain,
( ~ spl18_15
| ~ spl18_42
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2012,plain,
( op1(e10,e10) = e13
| ~ spl18_16
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f464]) ).
fof(f2013,plain,
( $false
| ~ spl18_16
| spl18_61
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f2012,f655]) ).
fof(f2014,plain,
( ~ spl18_16
| spl18_61
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f2013]) ).
fof(f2018,plain,
( e11 = op1(e11,e11)
| ~ spl18_35
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1051,f545]) ).
fof(f2019,plain,
( e10 = op1(e12,e12)
| ~ spl18_50
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f609]) ).
fof(f2020,plain,
( spl18_43
| ~ spl18_35
| ~ spl18_138 ),
inference(avatar_split_clause,[],[f2018,f1049,f543,f577]) ).
fof(f2021,plain,
( e12 = e13
| ~ spl18_17
| ~ spl18_18 ),
inference(superposition,[],[f473,f469]) ).
fof(f2025,plain,
( $false
| ~ spl18_17
| ~ spl18_18 ),
inference(forward_subsumption_resolution,[],[f2021,f200]) ).
fof(f2026,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2028,plain,
( e11 = e12
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_demodulation,[],[f524,f528]) ).
fof(f2029,plain,
( $false
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f2028,f202]) ).
fof(f2030,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f2029]) ).
fof(f2036,plain,
( e10 = e12
| ~ spl18_26
| ~ spl18_28 ),
inference(forward_demodulation,[],[f507,f515]) ).
fof(f2037,plain,
( $false
| ~ spl18_26
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f2036,f204]) ).
fof(f2038,plain,
( ~ spl18_26
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f2037]) ).
fof(f2039,plain,
( e10 = e12
| ~ spl18_22
| ~ spl18_24 ),
inference(forward_demodulation,[],[f490,f498]) ).
fof(f2043,plain,
( $false
| ~ spl18_22
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2039,f204]) ).
fof(f2044,plain,
( ~ spl18_22
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2048,plain,
( e11 = e13
| ~ spl18_17
| ~ spl18_19 ),
inference(superposition,[],[f477,f469]) ).
fof(f2052,plain,
( $false
| ~ spl18_17
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f2048,f201]) ).
fof(f2053,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(avatar_contradiction_clause,[],[f2052]) ).
fof(f2073,plain,
( e10 = e13
| ~ spl18_21
| ~ spl18_24 ),
inference(superposition,[],[f498,f486]) ).
fof(f2077,plain,
( $false
| ~ spl18_21
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2073,f203]) ).
fof(f2078,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2091,plain,
( op1(e10,e10) = e11
| ~ spl18_36
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1051,f549]) ).
fof(f2092,plain,
( spl18_24
| ~ spl18_50
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2019,f1054,f607,f496]) ).
fof(f2101,plain,
( e10 = e11
| ~ spl18_36
| ~ spl18_64
| ~ spl18_138 ),
inference(forward_demodulation,[],[f2091,f668]) ).
fof(f2104,plain,
( $false
| ~ spl18_36
| ~ spl18_64
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f2101,f205]) ).
fof(f2105,plain,
( ~ spl18_36
| ~ spl18_64
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2110,plain,
( e11 = e12
| ~ spl18_54
| ~ spl18_55 ),
inference(forward_demodulation,[],[f626,f630]) ).
fof(f2111,plain,
( e10 = op1(e11,e11)
| ~ spl18_51
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f613]) ).
fof(f2114,plain,
( e11 = op1(e12,e12)
| ~ spl18_34
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1051,f541]) ).
fof(f2122,plain,
( spl18_2
| ~ spl18_29
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f1932,f1024,f518,f403]) ).
fof(f2128,plain,
( $false
| ~ spl18_54
| ~ spl18_55 ),
inference(forward_subsumption_resolution,[],[f2110,f202]) ).
fof(f2129,plain,
( ~ spl18_54
| ~ spl18_55 ),
inference(avatar_contradiction_clause,[],[f2128]) ).
fof(f2132,plain,
( e10 = e11
| ~ spl18_24
| ~ spl18_34
| ~ spl18_138 ),
inference(forward_demodulation,[],[f2114,f498]) ).
fof(f2133,plain,
( $false
| ~ spl18_24
| ~ spl18_34
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f2132,f205]) ).
fof(f2134,plain,
( ~ spl18_24
| ~ spl18_34
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f2133]) ).
fof(f2135,plain,
( e11 = e12
| ~ spl18_10
| ~ spl18_11 ),
inference(forward_demodulation,[],[f439,f443]) ).
fof(f2137,plain,
( e11 = e12
| ~ spl18_50
| ~ spl18_51 ),
inference(forward_demodulation,[],[f609,f613]) ).
fof(f2141,plain,
( e11 = op1(e13,e13)
| ~ spl18_33
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1051,f537]) ).
fof(f2142,plain,
( $false
| ~ spl18_10
| ~ spl18_11 ),
inference(forward_subsumption_resolution,[],[f2135,f202]) ).
fof(f2143,plain,
( ~ spl18_10
| ~ spl18_11 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2144,plain,
( $false
| ~ spl18_50
| ~ spl18_51 ),
inference(forward_subsumption_resolution,[],[f2137,f202]) ).
fof(f2145,plain,
( ~ spl18_50
| ~ spl18_51 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2147,plain,
( spl18_3
| ~ spl18_33
| ~ spl18_138 ),
inference(avatar_split_clause,[],[f2141,f1049,f535,f407]) ).
fof(f2150,plain,
( e10 = op1(e10,e10)
| ~ spl18_52
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f617]) ).
fof(f2151,plain,
( e10 = e12
| ~ spl18_50
| ~ spl18_52 ),
inference(forward_demodulation,[],[f609,f617]) ).
fof(f2155,plain,
( $false
| ~ spl18_50
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f2151,f204]) ).
fof(f2156,plain,
( ~ spl18_50
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
fof(f2159,plain,
( e10 = op1(e11,e11)
| ~ spl18_63
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f664]) ).
fof(f2172,plain,
( e11 = e13
| ~ spl18_29
| ~ spl18_31 ),
inference(superposition,[],[f528,f520]) ).
fof(f2176,plain,
( $false
| ~ spl18_29
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f2172,f201]) ).
fof(f2177,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f2176]) ).
fof(f2192,plain,
( e12 = e13
| ~ spl18_37
| ~ spl18_38 ),
inference(superposition,[],[f554,f558]) ).
fof(f2193,plain,
( $false
| ~ spl18_37
| ~ spl18_38 ),
inference(forward_subsumption_resolution,[],[f2192,f200]) ).
fof(f2194,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
fof(f2198,plain,
( e11 = e12
| ~ spl18_42
| ~ spl18_43 ),
inference(superposition,[],[f579,f575]) ).
fof(f2202,plain,
( $false
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_subsumption_resolution,[],[f2198,f202]) ).
fof(f2203,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2212,plain,
( e12 = e13
| ~ spl18_41
| ~ spl18_42 ),
inference(forward_demodulation,[],[f571,f575]) ).
fof(f2213,plain,
( h2(e11) != op2(e21,h2(e12))
| ~ spl18_39
| spl18_283 ),
inference(forward_demodulation,[],[f1901,f562]) ).
fof(f2215,plain,
( $false
| ~ spl18_41
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f2212,f200]) ).
fof(f2216,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f2215]) ).
fof(f2217,plain,
( e21 != op2(e21,h2(e12))
| ~ spl18_39
| spl18_283 ),
inference(forward_demodulation,[],[f2213,f135]) ).
fof(f2228,plain,
( e10 = e12
| ~ spl18_42
| ~ spl18_44 ),
inference(superposition,[],[f583,f575]) ).
fof(f2232,plain,
( $false
| ~ spl18_42
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f2228,f204]) ).
fof(f2233,plain,
( ~ spl18_42
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2235,plain,
( spl18_44
| ~ spl18_63
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2159,f1034,f662,f581]) ).
fof(f2236,plain,
( e11 = e12
| ~ spl18_18
| ~ spl18_19 ),
inference(forward_demodulation,[],[f473,f477]) ).
fof(f2238,plain,
( spl18_64
| ~ spl18_52
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2150,f1054,f615,f666]) ).
fof(f2241,plain,
( e13 = op1(e12,e12)
| ~ spl18_6
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f422]) ).
fof(f2243,plain,
( e11 = op1(e13,e13)
| ~ spl18_37
| ~ spl18_142 ),
inference(forward_demodulation,[],[f1071,f554]) ).
fof(f2244,plain,
( e10 = op1(e13,e13)
| ~ spl18_53
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f622]) ).
fof(f2246,plain,
( $false
| ~ spl18_18
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f2236,f202]) ).
fof(f2247,plain,
( ~ spl18_18
| ~ spl18_19 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2251,plain,
( $false
| ~ spl18_6
| spl18_21
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f2241,f485]) ).
fof(f2252,plain,
( ~ spl18_6
| spl18_21
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2255,plain,
( spl18_3
| ~ spl18_37
| ~ spl18_142 ),
inference(avatar_split_clause,[],[f2243,f1069,f552,f407]) ).
fof(f2256,plain,
( spl18_4
| ~ spl18_53
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2244,f1074,f620,f411]) ).
fof(f2257,plain,
( e10 = e11
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_demodulation,[],[f494,f498]) ).
fof(f2259,plain,
( e10 = e11
| ~ spl18_51
| ~ spl18_52 ),
inference(forward_demodulation,[],[f613,f617]) ).
fof(f2260,plain,
( spl18_44
| ~ spl18_51
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2111,f1054,f611,f581]) ).
fof(f2264,plain,
( e10 = e13
| ~ spl18_61
| ~ spl18_64 ),
inference(forward_demodulation,[],[f656,f668]) ).
fof(f2276,plain,
( $false
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2257,f205]) ).
fof(f2277,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2278,plain,
( $false
| ~ spl18_51
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f2259,f205]) ).
fof(f2279,plain,
( ~ spl18_51
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
fof(f2282,plain,
( $false
| ~ spl18_61
| ~ spl18_64 ),
inference(forward_subsumption_resolution,[],[f2264,f203]) ).
fof(f2283,plain,
( ~ spl18_61
| ~ spl18_64 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2305,plain,
( e13 = op1(e11,e11)
| ~ spl18_11
| ~ spl18_144 ),
inference(forward_demodulation,[],[f1081,f443]) ).
fof(f2310,plain,
( e11 = op1(e11,e11)
| ~ spl18_47
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1031,f596]) ).
fof(f2314,plain,
( e12 = e13
| ~ spl18_11
| ~ spl18_42
| ~ spl18_144 ),
inference(forward_demodulation,[],[f2305,f575]) ).
fof(f2317,plain,
( spl18_43
| ~ spl18_47
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f2310,f1029,f594,f577]) ).
fof(f2318,plain,
( $false
| ~ spl18_11
| ~ spl18_42
| ~ spl18_144 ),
inference(forward_subsumption_resolution,[],[f2314,f200]) ).
fof(f2319,plain,
( ~ spl18_11
| ~ spl18_42
| ~ spl18_144 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2335,plain,
( op1(e10,e10) = e11
| ~ spl18_48
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1031,f600]) ).
fof(f2348,plain,
( e10 = e13
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_demodulation,[],[f588,f600]) ).
fof(f2352,plain,
( e10 != op1(e13,e13)
| ~ spl18_61
| spl18_135 ),
inference(forward_demodulation,[],[f1035,f656]) ).
fof(f2359,plain,
( $false
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2348,f203]) ).
fof(f2360,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2364,plain,
( $false
| ~ spl18_4
| ~ spl18_61
| spl18_135 ),
inference(forward_subsumption_resolution,[],[f2352,f413]) ).
fof(f2365,plain,
( ~ spl18_4
| ~ spl18_61
| spl18_135 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2374,plain,
( e10 = e13
| ~ spl18_1
| ~ spl18_4 ),
inference(superposition,[],[f413,f401]) ).
fof(f2378,plain,
( $false
| ~ spl18_1
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f2374,f203]) ).
fof(f2379,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2381,plain,
( e12 = e13
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_demodulation,[],[f452,f456]) ).
fof(f2382,plain,
( e12 = e13
| ~ spl18_49
| ~ spl18_50 ),
inference(forward_demodulation,[],[f605,f609]) ).
fof(f2391,plain,
( $false
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f2381,f200]) ).
fof(f2392,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2393,plain,
( $false
| ~ spl18_49
| ~ spl18_50 ),
inference(forward_subsumption_resolution,[],[f2382,f200]) ).
fof(f2394,plain,
( ~ spl18_49
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2435,plain,
( e10 = e13
| ~ spl18_29
| ~ spl18_32 ),
inference(superposition,[],[f532,f520]) ).
fof(f2440,plain,
( $false
| ~ spl18_29
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f2435,f203]) ).
fof(f2441,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f2440]) ).
fof(f2512,plain,
( e12 = e13
| ~ spl18_29
| ~ spl18_30 ),
inference(superposition,[],[f524,f520]) ).
fof(f2513,plain,
( e12 = e13
| ~ spl18_29
| ~ spl18_30 ),
inference(superposition,[],[f520,f524]) ).
fof(f2514,plain,
( $false
| ~ spl18_29
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f2513,f200]) ).
fof(f2515,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f2514]) ).
fof(f2516,plain,
( $false
| ~ spl18_29
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f2512,f200]) ).
fof(f2517,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f2516]) ).
fof(f2551,plain,
( e22 = e23
| ~ spl18_65
| ~ spl18_66 ),
inference(superposition,[],[f709,f705]) ).
fof(f2555,plain,
( $false
| ~ spl18_65
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f2551,f194]) ).
fof(f2556,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(avatar_contradiction_clause,[],[f2555]) ).
fof(f2562,plain,
( e22 = op2(e22,e22)
| ~ spl18_94
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f828]) ).
fof(f2563,plain,
( spl18_86
| ~ spl18_94
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f2562,f1116,f826,f792]) ).
fof(f2564,plain,
( e21 = e23
| ~ spl18_65
| ~ spl18_67 ),
inference(superposition,[],[f713,f705]) ).
fof(f2568,plain,
( $false
| ~ spl18_65
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f2564,f195]) ).
fof(f2569,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2572,plain,
( e23 = op2(e22,e22)
| ~ spl18_70
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f726]) ).
fof(f2573,plain,
( e22 = op2(h3(e12),h3(e12))
| ~ spl18_160 ),
inference(forward_demodulation,[],[f1158,f129]) ).
fof(f2574,plain,
( e21 = op2(e23,e23)
| ~ spl18_101
| ~ spl18_161 ),
inference(forward_demodulation,[],[f1163,f858]) ).
fof(f2575,plain,
( e20 = op2(e23,e23)
| ~ spl18_117
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f926]) ).
fof(f2578,plain,
( spl18_67
| ~ spl18_101
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f2574,f1161,f856,f711]) ).
fof(f2579,plain,
( spl18_68
| ~ spl18_117
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f2575,f1166,f924,f715]) ).
fof(f2581,plain,
( op2(e20,e20) = e21
| ~ spl18_112
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f904]) ).
fof(f2584,plain,
( spl18_127
| ~ spl18_112
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f2581,f1121,f902,f966]) ).
fof(f2589,plain,
( e21 = op2(e21,e21)
| ~ spl18_111
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f900]) ).
fof(f2591,plain,
( spl18_107
| ~ spl18_111
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f2589,f1121,f898,f881]) ).
fof(f2599,plain,
( e21 = e22
| ~ spl18_70
| ~ spl18_71 ),
inference(superposition,[],[f730,f726]) ).
fof(f2603,plain,
( $false
| ~ spl18_70
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f2599,f196]) ).
fof(f2604,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2606,plain,
( e20 = e22
| ~ spl18_70
| ~ spl18_72 ),
inference(superposition,[],[f734,f726]) ).
fof(f2610,plain,
( $false
| ~ spl18_70
| ~ spl18_72 ),
inference(forward_subsumption_resolution,[],[f2606,f198]) ).
fof(f2611,plain,
( ~ spl18_70
| ~ spl18_72 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2613,plain,
( e20 = e21
| ~ spl18_75
| ~ spl18_76 ),
inference(superposition,[],[f751,f747]) ).
fof(f2614,plain,
( e20 = e21
| ~ spl18_75
| ~ spl18_76 ),
inference(superposition,[],[f747,f751]) ).
fof(f2615,plain,
( $false
| ~ spl18_75
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f2614,f199]) ).
fof(f2616,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2617,plain,
( $false
| ~ spl18_75
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f2613,f199]) ).
fof(f2618,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2620,plain,
( e21 = e22
| ~ spl18_78
| ~ spl18_79 ),
inference(superposition,[],[f764,f760]) ).
fof(f2621,plain,
( e21 = e22
| ~ spl18_78
| ~ spl18_79 ),
inference(superposition,[],[f760,f764]) ).
fof(f2622,plain,
( $false
| ~ spl18_78
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f2621,f196]) ).
fof(f2623,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2624,plain,
( $false
| ~ spl18_78
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f2620,f196]) ).
fof(f2625,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2624]) ).
fof(f2627,plain,
( e23 = op2(e21,e21)
| ~ spl18_79
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f764]) ).
fof(f2628,plain,
( e22 = e23
| ~ spl18_79
| ~ spl18_106
| ~ spl18_151 ),
inference(forward_demodulation,[],[f2627,f879]) ).
fof(f2629,plain,
( $false
| ~ spl18_79
| ~ spl18_106
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f2628,f194]) ).
fof(f2630,plain,
( ~ spl18_79
| ~ spl18_106
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f2629]) ).
fof(f2633,plain,
( op2(e20,e20) = e23
| ~ spl18_80
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f768]) ).
fof(f2634,plain,
( e21 = e22
| ~ spl18_82
| ~ spl18_83 ),
inference(superposition,[],[f781,f777]) ).
fof(f2638,plain,
( $false
| ~ spl18_82
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f2634,f196]) ).
fof(f2639,plain,
( ~ spl18_82
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f2638]) ).
fof(f2648,plain,
( e22 = e23
| ~ spl18_85
| ~ spl18_86 ),
inference(superposition,[],[f794,f790]) ).
fof(f2652,plain,
( $false
| ~ spl18_85
| ~ spl18_86 ),
inference(forward_subsumption_resolution,[],[f2648,f194]) ).
fof(f2653,plain,
( ~ spl18_85
| ~ spl18_86 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2655,plain,
( e22 = e23
| ~ spl18_70
| ~ spl18_86
| ~ spl18_159 ),
inference(forward_demodulation,[],[f2572,f794]) ).
fof(f2657,plain,
( $false
| ~ spl18_70
| ~ spl18_86
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f2655,f194]) ).
fof(f2658,plain,
( ~ spl18_70
| ~ spl18_86
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f2657]) ).
fof(f2661,plain,
( e23 = op2(e21,e21)
| ~ spl18_75
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f747]) ).
fof(f2663,plain,
( e21 = op2(h2(e12),h2(e12))
| ~ spl18_165 ),
inference(forward_demodulation,[],[f1183,f133]) ).
fof(f2664,plain,
( e20 = op2(e23,e23)
| ~ spl18_121
| ~ spl18_166 ),
inference(forward_demodulation,[],[f1188,f943]) ).
fof(f2665,plain,
( e20 = e23
| ~ spl18_70
| ~ spl18_88
| ~ spl18_159 ),
inference(forward_demodulation,[],[f2572,f802]) ).
fof(f2668,plain,
( e22 = e23
| ~ spl18_75
| ~ spl18_106
| ~ spl18_163 ),
inference(forward_demodulation,[],[f2661,f879]) ).
fof(f2670,plain,
( spl18_68
| ~ spl18_121
| ~ spl18_166 ),
inference(avatar_split_clause,[],[f2664,f1186,f941,f715]) ).
fof(f2671,plain,
( $false
| ~ spl18_70
| ~ spl18_88
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f2665,f197]) ).
fof(f2672,plain,
( ~ spl18_70
| ~ spl18_88
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f2671]) ).
fof(f2674,plain,
( $false
| ~ spl18_75
| ~ spl18_106
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f2668,f194]) ).
fof(f2675,plain,
( ~ spl18_75
| ~ spl18_106
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
fof(f2678,plain,
( e22 = e23
| ~ spl18_105
| ~ spl18_106 ),
inference(forward_demodulation,[],[f875,f879]) ).
fof(f2680,plain,
( op2(e20,e20) = e21
| ~ spl18_104
| ~ spl18_161 ),
inference(forward_demodulation,[],[f1163,f870]) ).
fof(f2684,plain,
( e21 = e23
| ~ spl18_70
| ~ spl18_87
| ~ spl18_159 ),
inference(forward_demodulation,[],[f2572,f798]) ).
fof(f2686,plain,
( $false
| ~ spl18_105
| ~ spl18_106 ),
inference(forward_subsumption_resolution,[],[f2678,f194]) ).
fof(f2687,plain,
( ~ spl18_105
| ~ spl18_106 ),
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2692,plain,
( $false
| ~ spl18_70
| ~ spl18_87
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f2684,f195]) ).
fof(f2693,plain,
( ~ spl18_70
| ~ spl18_87
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2703,plain,
( e20 = e21
| ~ spl18_67
| ~ spl18_68 ),
inference(forward_demodulation,[],[f713,f717]) ).
fof(f2704,plain,
( e20 = e23
| ~ spl18_77
| ~ spl18_80 ),
inference(forward_demodulation,[],[f756,f768]) ).
fof(f2706,plain,
( e20 = e23
| ~ spl18_101
| ~ spl18_104 ),
inference(forward_demodulation,[],[f858,f870]) ).
fof(f2708,plain,
( e22 = e23
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_demodulation,[],[f909,f913]) ).
fof(f2710,plain,
( $false
| ~ spl18_67
| ~ spl18_68 ),
inference(forward_subsumption_resolution,[],[f2703,f199]) ).
fof(f2711,plain,
( ~ spl18_67
| ~ spl18_68 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2712,plain,
( $false
| ~ spl18_77
| ~ spl18_80 ),
inference(forward_subsumption_resolution,[],[f2704,f197]) ).
fof(f2713,plain,
( ~ spl18_77
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2714,plain,
( $false
| ~ spl18_101
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f2706,f197]) ).
fof(f2715,plain,
( ~ spl18_101
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f2714]) ).
fof(f2718,plain,
( $false
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_subsumption_resolution,[],[f2708,f194]) ).
fof(f2719,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2722,plain,
( e21 = e22
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_demodulation,[],[f930,f934]) ).
fof(f2725,plain,
( e21 = e23
| ~ spl18_113
| ~ spl18_115 ),
inference(forward_demodulation,[],[f909,f917]) ).
fof(f2728,plain,
( $false
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_subsumption_resolution,[],[f2722,f196]) ).
fof(f2729,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(avatar_contradiction_clause,[],[f2728]) ).
fof(f2731,plain,
( $false
| ~ spl18_113
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f2725,f195]) ).
fof(f2732,plain,
( ~ spl18_113
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2742,plain,
( e20 = e23
| ~ spl18_113
| ~ spl18_116 ),
inference(forward_demodulation,[],[f909,f921]) ).
fof(f2744,plain,
( $false
| ~ spl18_113
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f2742,f197]) ).
fof(f2745,plain,
( ~ spl18_113
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f2744]) ).
fof(f2758,plain,
( e20 = e23
| ~ spl18_73
| ~ spl18_76 ),
inference(forward_demodulation,[],[f739,f751]) ).
fof(f2761,plain,
( $false
| ~ spl18_73
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f2758,f197]) ).
fof(f2762,plain,
( ~ spl18_73
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f2761]) ).
fof(f2767,plain,
( e20 = e23
| ~ spl18_89
| ~ spl18_92 ),
inference(forward_demodulation,[],[f807,f819]) ).
fof(f2773,plain,
( $false
| ~ spl18_89
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f2767,f197]) ).
fof(f2774,plain,
( ~ spl18_89
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f2773]) ).
fof(f2780,plain,
( e22 = e23
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_demodulation,[],[f773,f777]) ).
fof(f2783,plain,
( e22 = e23
| ~ spl18_121
| ~ spl18_122 ),
inference(forward_demodulation,[],[f943,f947]) ).
fof(f2784,plain,
( $false
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f2780,f194]) ).
fof(f2785,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2787,plain,
( $false
| ~ spl18_121
| ~ spl18_122 ),
inference(forward_subsumption_resolution,[],[f2783,f194]) ).
fof(f2788,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(avatar_contradiction_clause,[],[f2787]) ).
fof(f2795,plain,
( e21 = e22
| ~ spl18_86
| ~ spl18_87 ),
inference(superposition,[],[f798,f794]) ).
fof(f2796,plain,
( e21 = e22
| ~ spl18_86
| ~ spl18_87 ),
inference(superposition,[],[f794,f798]) ).
fof(f2797,plain,
( $false
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f2796,f196]) ).
fof(f2798,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2799,plain,
( $false
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f2795,f196]) ).
fof(f2800,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2801,plain,
( e20 = e23
| ~ spl18_85
| ~ spl18_88 ),
inference(forward_demodulation,[],[f790,f802]) ).
fof(f2804,plain,
( e21 = e23
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_demodulation,[],[f943,f951]) ).
fof(f2806,plain,
( e21 = e22
| ~ spl18_126
| ~ spl18_127 ),
inference(forward_demodulation,[],[f964,f968]) ).
fof(f2812,plain,
( $false
| ~ spl18_85
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f2801,f197]) ).
fof(f2813,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f2812]) ).
fof(f2816,plain,
( $false
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f2804,f195]) ).
fof(f2817,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
fof(f2818,plain,
( $false
| ~ spl18_126
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f2806,f196]) ).
fof(f2819,plain,
( ~ spl18_126
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
fof(f2826,plain,
( spl18_85
| ~ spl18_78
| ~ spl18_151 ),
inference(avatar_split_clause,[],[f1935,f1111,f758,f788]) ).
fof(f2833,plain,
( e20 = op2(e20,e20)
| ~ spl18_120
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f938]) ).
fof(f2838,plain,
( e23 = op2(e23,e23)
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f739]) ).
fof(f2841,plain,
( spl18_128
| ~ spl18_120
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f2833,f1166,f936,f970]) ).
fof(f2842,plain,
( e21 = e23
| ~ spl18_67
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_demodulation,[],[f2838,f713]) ).
fof(f2844,plain,
( $false
| ~ spl18_67
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f2842,f195]) ).
fof(f2845,plain,
( ~ spl18_67
| ~ spl18_73
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f2844]) ).
fof(f2849,plain,
( e20 = e21
| ~ spl18_71
| ~ spl18_72 ),
inference(superposition,[],[f734,f730]) ).
fof(f2854,plain,
( $false
| ~ spl18_71
| ~ spl18_72 ),
inference(forward_subsumption_resolution,[],[f2849,f199]) ).
fof(f2855,plain,
( ~ spl18_71
| ~ spl18_72 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2861,plain,
( e20 = e21
| ~ spl18_119
| ~ spl18_120 ),
inference(forward_demodulation,[],[f934,f938]) ).
fof(f2862,plain,
( e20 = e23
| ~ spl18_121
| ~ spl18_124 ),
inference(forward_demodulation,[],[f943,f955]) ).
fof(f2869,plain,
( $false
| ~ spl18_119
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f2861,f199]) ).
fof(f2870,plain,
( ~ spl18_119
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f2869]) ).
fof(f2871,plain,
( $false
| ~ spl18_121
| ~ spl18_124 ),
inference(forward_subsumption_resolution,[],[f2862,f197]) ).
fof(f2872,plain,
( ~ spl18_121
| ~ spl18_124 ),
inference(avatar_contradiction_clause,[],[f2871]) ).
fof(f2878,plain,
( e21 = e22
| ~ spl18_66
| ~ spl18_67 ),
inference(forward_demodulation,[],[f709,f713]) ).
fof(f2889,plain,
( e21 = op2(e21,e21)
| ~ spl18_99
| ~ spl18_157 ),
inference(forward_demodulation,[],[f1143,f849]) ).
fof(f2890,plain,
( e20 = op2(e23,e23)
| ~ spl18_113
| ~ spl18_158 ),
inference(forward_demodulation,[],[f1148,f909]) ).
fof(f2896,plain,
( $false
| ~ spl18_66
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f2878,f196]) ).
fof(f2897,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f2896]) ).
fof(f2903,plain,
( spl18_68
| ~ spl18_113
| ~ spl18_158 ),
inference(avatar_split_clause,[],[f2890,f1146,f907,f715]) ).
fof(f2911,plain,
( e20 = e22
| ~ spl18_118
| ~ spl18_120 ),
inference(forward_demodulation,[],[f930,f938]) ).
fof(f2914,plain,
( e23 = op2(e21,e21)
| ~ spl18_71
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f730]) ).
fof(f2917,plain,
( e22 = op2(e22,e22)
| ~ spl18_82
| ~ spl18_156 ),
inference(forward_demodulation,[],[f1138,f777]) ).
fof(f2920,plain,
( $false
| ~ spl18_118
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f2911,f198]) ).
fof(f2921,plain,
( ~ spl18_118
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2923,plain,
( e22 = e23
| ~ spl18_71
| ~ spl18_106
| ~ spl18_159 ),
inference(forward_demodulation,[],[f2914,f879]) ).
fof(f2924,plain,
( spl18_86
| ~ spl18_82
| ~ spl18_156 ),
inference(avatar_split_clause,[],[f2917,f1136,f775,f792]) ).
fof(f2925,plain,
( $false
| ~ spl18_71
| ~ spl18_106
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f2923,f194]) ).
fof(f2926,plain,
( ~ spl18_71
| ~ spl18_106
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f2925]) ).
fof(f2929,plain,
( e20 = op2(e22,e22)
| ~ spl18_118
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f930]) ).
fof(f2936,plain,
( spl18_88
| ~ spl18_118
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f2929,f1166,f928,f800]) ).
fof(f2937,plain,
( e20 = e23
| ~ spl18_97
| ~ spl18_100 ),
inference(forward_demodulation,[],[f841,f853]) ).
fof(f2941,plain,
( op2(e20,e20) = e21
| ~ spl18_100
| ~ spl18_157 ),
inference(forward_demodulation,[],[f1143,f853]) ).
fof(f2943,plain,
( $false
| ~ spl18_97
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f2937,f197]) ).
fof(f2944,plain,
( ~ spl18_97
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f2943]) ).
fof(f2949,plain,
( e21 = op2(e23,e23)
| ~ spl18_97
| ~ spl18_157 ),
inference(forward_demodulation,[],[f1143,f841]) ).
fof(f2954,plain,
( e20 = e22
| ~ spl18_78
| ~ spl18_80 ),
inference(superposition,[],[f768,f760]) ).
fof(f2959,plain,
( $false
| ~ spl18_78
| ~ spl18_80 ),
inference(forward_subsumption_resolution,[],[f2954,f198]) ).
fof(f2960,plain,
( ~ spl18_78
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f2959]) ).
fof(f2964,plain,
( e20 = e21
| ~ spl18_91
| ~ spl18_92 ),
inference(superposition,[],[f819,f815]) ).
fof(f2969,plain,
( $false
| ~ spl18_91
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f2964,f199]) ).
fof(f2970,plain,
( ~ spl18_91
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f2969]) ).
fof(f2973,plain,
( e22 = e23
| ~ spl18_97
| ~ spl18_98 ),
inference(superposition,[],[f845,f841]) ).
fof(f2977,plain,
( $false
| ~ spl18_97
| ~ spl18_98 ),
inference(forward_subsumption_resolution,[],[f2973,f194]) ).
fof(f2978,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f2977]) ).
fof(f2981,plain,
( e22 = e23
| ~ spl18_101
| ~ spl18_102 ),
inference(superposition,[],[f862,f858]) ).
fof(f2982,plain,
( e22 = e23
| ~ spl18_101
| ~ spl18_102 ),
inference(superposition,[],[f858,f862]) ).
fof(f2983,plain,
( $false
| ~ spl18_101
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f2982,f194]) ).
fof(f2984,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f2983]) ).
fof(f2985,plain,
( $false
| ~ spl18_101
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f2981,f194]) ).
fof(f2986,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f2985]) ).
fof(f2995,plain,
( e21 = e23
| ~ spl18_101
| ~ spl18_103 ),
inference(superposition,[],[f866,f858]) ).
fof(f2996,plain,
( e21 = e23
| ~ spl18_101
| ~ spl18_103 ),
inference(superposition,[],[f858,f866]) ).
fof(f2997,plain,
( $false
| ~ spl18_101
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f2996,f195]) ).
fof(f2998,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f2997]) ).
fof(f2999,plain,
( $false
| ~ spl18_101
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f2995,f195]) ).
fof(f3000,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f2999]) ).
fof(f3004,plain,
( e21 = e22
| ~ spl18_106
| ~ spl18_107 ),
inference(superposition,[],[f883,f879]) ).
fof(f3008,plain,
( $false
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3004,f196]) ).
fof(f3009,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3008]) ).
fof(f3021,plain,
( e21 = e23
| ~ spl18_125
| ~ spl18_127 ),
inference(superposition,[],[f968,f960]) ).
fof(f3022,plain,
( e21 = e23
| ~ spl18_125
| ~ spl18_127 ),
inference(superposition,[],[f960,f968]) ).
fof(f3023,plain,
( $false
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f3022,f195]) ).
fof(f3024,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3025,plain,
( $false
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f3021,f195]) ).
fof(f3026,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f3025]) ).
fof(f3029,plain,
( e21 = e22
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_demodulation,[],[f862,f866]) ).
fof(f3039,plain,
( $false
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f3029,f196]) ).
fof(f3040,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f3039]) ).
fof(f3070,plain,
( e20 = e21
| ~ spl18_127
| ~ spl18_128 ),
inference(superposition,[],[f972,f968]) ).
fof(f3071,plain,
( e20 = e21
| ~ spl18_127
| ~ spl18_128 ),
inference(superposition,[],[f968,f972]) ).
fof(f3072,plain,
( $false
| ~ spl18_127
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3071,f199]) ).
fof(f3073,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3072]) ).
fof(f3074,plain,
( $false
| ~ spl18_127
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3070,f199]) ).
fof(f3075,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3074]) ).
fof(f3079,plain,
( e20 = e21
| ~ spl18_103
| ~ spl18_104 ),
inference(superposition,[],[f870,f866]) ).
fof(f3083,plain,
( $false
| ~ spl18_103
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f3079,f199]) ).
fof(f3084,plain,
( ~ spl18_103
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f3083]) ).
fof(f3105,plain,
( e22 = e23
| ~ spl18_77
| ~ spl18_78 ),
inference(superposition,[],[f760,f756]) ).
fof(f3106,plain,
( e22 = e23
| ~ spl18_77
| ~ spl18_78 ),
inference(superposition,[],[f756,f760]) ).
fof(f3108,plain,
( $false
| ~ spl18_77
| ~ spl18_78 ),
inference(forward_subsumption_resolution,[],[f3106,f194]) ).
fof(f3109,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
fof(f3110,plain,
( $false
| ~ spl18_77
| ~ spl18_78 ),
inference(forward_subsumption_resolution,[],[f3105,f194]) ).
fof(f3111,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f3110]) ).
fof(f3113,plain,
( e21 = e22
| ~ spl18_74
| ~ spl18_75 ),
inference(forward_demodulation,[],[f743,f747]) ).
fof(f3115,plain,
( e21 = e23
| ~ spl18_80
| ~ spl18_127
| ~ spl18_151 ),
inference(forward_demodulation,[],[f2633,f968]) ).
fof(f3117,plain,
( e21 = e23
| ~ spl18_93
| ~ spl18_95 ),
inference(forward_demodulation,[],[f824,f832]) ).
fof(f3119,plain,
( e22 != op2(e21,e21)
| ~ spl18_95
| spl18_152 ),
inference(forward_demodulation,[],[f1117,f832]) ).
fof(f3122,plain,
( $false
| ~ spl18_74
| ~ spl18_75 ),
inference(forward_subsumption_resolution,[],[f3113,f196]) ).
fof(f3123,plain,
( ~ spl18_74
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f3122]) ).
fof(f3124,plain,
( $false
| ~ spl18_80
| ~ spl18_127
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f3115,f195]) ).
fof(f3125,plain,
( ~ spl18_80
| ~ spl18_127
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3126,plain,
( $false
| ~ spl18_93
| ~ spl18_95 ),
inference(forward_subsumption_resolution,[],[f3117,f195]) ).
fof(f3127,plain,
( ~ spl18_93
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3130,plain,
( $false
| ~ spl18_95
| ~ spl18_106
| spl18_152 ),
inference(forward_subsumption_resolution,[],[f3119,f879]) ).
fof(f3131,plain,
( ~ spl18_95
| ~ spl18_106
| spl18_152 ),
inference(avatar_contradiction_clause,[],[f3130]) ).
fof(f3139,plain,
( e20 = op2(e22,e22)
| ~ spl18_114
| ~ spl18_158 ),
inference(forward_demodulation,[],[f1148,f913]) ).
fof(f3147,plain,
( e22 = e23
| ~ spl18_69
| ~ spl18_70 ),
inference(superposition,[],[f726,f722]) ).
fof(f3152,plain,
( $false
| ~ spl18_69
| ~ spl18_70 ),
inference(forward_subsumption_resolution,[],[f3147,f194]) ).
fof(f3153,plain,
( ~ spl18_69
| ~ spl18_70 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3158,plain,
( e20 = e23
| ~ spl18_69
| ~ spl18_72 ),
inference(superposition,[],[f734,f722]) ).
fof(f3163,plain,
( $false
| ~ spl18_69
| ~ spl18_72 ),
inference(forward_subsumption_resolution,[],[f3158,f197]) ).
fof(f3164,plain,
( ~ spl18_69
| ~ spl18_72 ),
inference(avatar_contradiction_clause,[],[f3163]) ).
fof(f3168,plain,
( e22 = e23
| ~ spl18_117
| ~ spl18_118 ),
inference(forward_demodulation,[],[f926,f930]) ).
fof(f3172,plain,
( e20 = e21
| ~ spl18_68
| ~ spl18_97
| ~ spl18_157 ),
inference(forward_demodulation,[],[f2949,f717]) ).
fof(f3173,plain,
( $false
| ~ spl18_117
| ~ spl18_118 ),
inference(forward_subsumption_resolution,[],[f3168,f194]) ).
fof(f3174,plain,
( ~ spl18_117
| ~ spl18_118 ),
inference(avatar_contradiction_clause,[],[f3173]) ).
fof(f3177,plain,
( $false
| ~ spl18_68
| ~ spl18_97
| ~ spl18_157 ),
inference(forward_subsumption_resolution,[],[f3172,f199]) ).
fof(f3178,plain,
( ~ spl18_68
| ~ spl18_97
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3179,plain,
( e20 = e23
| ~ spl18_65
| ~ spl18_68 ),
inference(forward_demodulation,[],[f705,f717]) ).
fof(f3185,plain,
( e20 = e23
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_demodulation,[],[f926,f938]) ).
fof(f3190,plain,
( $false
| ~ spl18_65
| ~ spl18_68 ),
inference(forward_subsumption_resolution,[],[f3179,f197]) ).
fof(f3191,plain,
( ~ spl18_65
| ~ spl18_68 ),
inference(avatar_contradiction_clause,[],[f3190]) ).
fof(f3196,plain,
( $false
| ~ spl18_117
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f3185,f197]) ).
fof(f3197,plain,
( ~ spl18_117
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3202,plain,
( e21 = e23
| ~ spl18_81
| ~ spl18_83 ),
inference(forward_demodulation,[],[f773,f781]) ).
fof(f3206,plain,
( spl18_107
| ~ spl18_99
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2889,f1141,f847,f881]) ).
fof(f3207,plain,
( $false
| ~ spl18_81
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f3202,f195]) ).
fof(f3208,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3211,plain,
( e20 = e21
| ~ spl18_111
| ~ spl18_112 ),
inference(forward_demodulation,[],[f900,f904]) ).
fof(f3213,plain,
( e21 = op2(e22,e22)
| ~ spl18_98
| ~ spl18_157 ),
inference(forward_demodulation,[],[f1143,f845]) ).
fof(f3214,plain,
( $false
| ~ spl18_111
| ~ spl18_112 ),
inference(forward_subsumption_resolution,[],[f3211,f199]) ).
fof(f3215,plain,
( ~ spl18_111
| ~ spl18_112 ),
inference(avatar_contradiction_clause,[],[f3214]) ).
fof(f3228,plain,
( e20 = e21
| ~ spl18_87
| ~ spl18_88 ),
inference(superposition,[],[f802,f798]) ).
fof(f3232,plain,
( $false
| ~ spl18_87
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f3228,f199]) ).
fof(f3233,plain,
( ~ spl18_87
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f3232]) ).
fof(f3235,plain,
( spl18_88
| ~ spl18_114
| ~ spl18_158 ),
inference(avatar_split_clause,[],[f3139,f1146,f911,f800]) ).
fof(f3236,plain,
( e20 = e22
| ~ spl18_66
| ~ spl18_68 ),
inference(forward_demodulation,[],[f709,f717]) ).
fof(f3243,plain,
( e23 = op2(e23,e23)
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f722]) ).
fof(f3244,plain,
( e21 = op2(e22,e22)
| ~ spl18_102
| ~ spl18_161 ),
inference(forward_demodulation,[],[f1163,f862]) ).
fof(f3251,plain,
( $false
| ~ spl18_66
| ~ spl18_68 ),
inference(forward_subsumption_resolution,[],[f3236,f198]) ).
fof(f3252,plain,
( ~ spl18_66
| ~ spl18_68 ),
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3256,plain,
( e20 = e23
| ~ spl18_68
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_demodulation,[],[f3243,f717]) ).
fof(f3258,plain,
( $false
| ~ spl18_68
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f3256,f197]) ).
fof(f3259,plain,
( ~ spl18_68
| ~ spl18_69
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f3258]) ).
fof(f3269,plain,
( e21 = e23
| ~ spl18_109
| ~ spl18_111 ),
inference(forward_demodulation,[],[f892,f900]) ).
fof(f3273,plain,
( e21 = op2(e22,e22)
| ~ spl18_98
| ~ spl18_157 ),
inference(forward_demodulation,[],[f1143,f845]) ).
fof(f3291,plain,
( $false
| ~ spl18_109
| ~ spl18_111 ),
inference(forward_subsumption_resolution,[],[f3269,f195]) ).
fof(f3292,plain,
( ~ spl18_109
| ~ spl18_111 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3295,plain,
( e20 = e21
| ~ spl18_88
| ~ spl18_98
| ~ spl18_157 ),
inference(forward_demodulation,[],[f3273,f802]) ).
fof(f3299,plain,
( $false
| ~ spl18_88
| ~ spl18_98
| ~ spl18_157 ),
inference(forward_subsumption_resolution,[],[f3295,f199]) ).
fof(f3300,plain,
( ~ spl18_88
| ~ spl18_98
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f3299]) ).
fof(f3303,plain,
( spl18_127
| ~ spl18_100
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f2941,f1141,f851,f966]) ).
fof(f3313,plain,
( e20 = e23
| ~ spl18_109
| ~ spl18_112 ),
inference(forward_demodulation,[],[f892,f904]) ).
fof(f3323,plain,
( $false
| ~ spl18_109
| ~ spl18_112 ),
inference(forward_subsumption_resolution,[],[f3313,f197]) ).
fof(f3324,plain,
( ~ spl18_109
| ~ spl18_112 ),
inference(avatar_contradiction_clause,[],[f3323]) ).
fof(f3328,plain,
( e20 = e22
| ~ spl18_86
| ~ spl18_88 ),
inference(forward_demodulation,[],[f794,f802]) ).
fof(f3346,plain,
( $false
| ~ spl18_86
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f3328,f198]) ).
fof(f3347,plain,
( ~ spl18_86
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f3346]) ).
fof(f3354,plain,
( e22 = e23
| ~ spl18_73
| ~ spl18_74 ),
inference(forward_demodulation,[],[f739,f743]) ).
fof(f3355,plain,
( e20 = e23
| ~ spl18_68
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_demodulation,[],[f2838,f717]) ).
fof(f3356,plain,
( e20 = e21
| ~ spl18_79
| ~ spl18_80 ),
inference(forward_demodulation,[],[f764,f768]) ).
fof(f3368,plain,
( op2(e20,e20) = e22
| ~ spl18_92
| ~ spl18_164 ),
inference(forward_demodulation,[],[f1178,f819]) ).
fof(f3375,plain,
( $false
| ~ spl18_73
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f3354,f194]) ).
fof(f3376,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(avatar_contradiction_clause,[],[f3375]) ).
fof(f3377,plain,
( $false
| ~ spl18_68
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f3355,f197]) ).
fof(f3378,plain,
( ~ spl18_68
| ~ spl18_73
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3377]) ).
fof(f3379,plain,
( $false
| ~ spl18_79
| ~ spl18_80 ),
inference(forward_subsumption_resolution,[],[f3356,f199]) ).
fof(f3380,plain,
( ~ spl18_79
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f3379]) ).
fof(f3384,plain,
( e20 = e22
| ~ spl18_92
| ~ spl18_128
| ~ spl18_164 ),
inference(forward_demodulation,[],[f3368,f972]) ).
fof(f3387,plain,
( $false
| ~ spl18_92
| ~ spl18_128
| ~ spl18_164 ),
inference(forward_subsumption_resolution,[],[f3384,f198]) ).
fof(f3388,plain,
( ~ spl18_92
| ~ spl18_128
| ~ spl18_164 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3398,plain,
( e20 = e23
| ~ spl18_125
| ~ spl18_128 ),
inference(forward_demodulation,[],[f960,f972]) ).
fof(f3413,plain,
( e21 = e23
| ~ spl18_73
| ~ spl18_75 ),
inference(forward_demodulation,[],[f739,f747]) ).
fof(f3421,plain,
( $false
| ~ spl18_125
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3398,f197]) ).
fof(f3422,plain,
( ~ spl18_125
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3421]) ).
fof(f3429,plain,
( $false
| ~ spl18_73
| ~ spl18_75 ),
inference(forward_subsumption_resolution,[],[f3413,f195]) ).
fof(f3430,plain,
( ~ spl18_73
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f3429]) ).
fof(f3469,plain,
( e21 = e23
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_demodulation,[],[f790,f798]) ).
fof(f3478,plain,
( e20 = op2(e20,e20)
| ~ spl18_116
| ~ spl18_158 ),
inference(forward_demodulation,[],[f1148,f921]) ).
fof(f3484,plain,
( $false
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f3469,f195]) ).
fof(f3485,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f3484]) ).
fof(f3489,plain,
( spl18_128
| ~ spl18_116
| ~ spl18_158 ),
inference(avatar_split_clause,[],[f3478,f1146,f919,f970]) ).
fof(f3497,plain,
( e20 = e21
| ~ spl18_95
| ~ spl18_96 ),
inference(forward_demodulation,[],[f832,f836]) ).
fof(f3498,plain,
( e20 = e21
| ~ spl18_115
| ~ spl18_116 ),
inference(forward_demodulation,[],[f917,f921]) ).
fof(f3509,plain,
( spl18_87
| ~ spl18_98
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f3213,f1141,f843,f796]) ).
fof(f3514,plain,
( $false
| ~ spl18_95
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f3497,f199]) ).
fof(f3515,plain,
( ~ spl18_95
| ~ spl18_96 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
fof(f3516,plain,
( $false
| ~ spl18_115
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f3498,f199]) ).
fof(f3517,plain,
( ~ spl18_115
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f3516]) ).
fof(f3526,plain,
( e20 = e22
| ~ spl18_94
| ~ spl18_96 ),
inference(forward_demodulation,[],[f828,f836]) ).
fof(f3528,plain,
( spl18_87
| ~ spl18_102
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f3244,f1161,f860,f796]) ).
fof(f3530,plain,
( e20 = e22
| ~ spl18_114
| ~ spl18_116 ),
inference(forward_demodulation,[],[f913,f921]) ).
fof(f3557,plain,
( $false
| ~ spl18_94
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f3526,f198]) ).
fof(f3558,plain,
( ~ spl18_94
| ~ spl18_96 ),
inference(avatar_contradiction_clause,[],[f3557]) ).
fof(f3559,plain,
( $false
| ~ spl18_114
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f3530,f198]) ).
fof(f3560,plain,
( ~ spl18_114
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f3559]) ).
fof(f3598,plain,
( op2(e20,e20) != e22
| ~ spl18_92
| spl18_164 ),
inference(forward_demodulation,[],[f1177,f819]) ).
fof(f3609,plain,
( $false
| ~ spl18_92
| ~ spl18_126
| spl18_164 ),
inference(forward_subsumption_resolution,[],[f3598,f964]) ).
fof(f3610,plain,
( ~ spl18_92
| ~ spl18_126
| spl18_164 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3612,plain,
( e21 = e22
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_demodulation,[],[f947,f951]) ).
fof(f3617,plain,
( $false
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f3612,f196]) ).
fof(f3618,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f3617]) ).
fof(f3636,plain,
( e20 = e21
| ~ spl18_99
| ~ spl18_100 ),
inference(superposition,[],[f853,f849]) ).
fof(f3642,plain,
( $false
| ~ spl18_99
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f3636,f199]) ).
fof(f3643,plain,
( ~ spl18_99
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f3642]) ).
fof(f3662,plain,
( e23 = h3(e12)
| ~ spl18_85 ),
inference(superposition,[],[f129,f790]) ).
fof(f3672,plain,
( e22 = h2(e12)
| ~ spl18_106 ),
inference(superposition,[],[f879,f133]) ).
fof(f3673,plain,
( spl18_197
| ~ spl18_106 ),
inference(avatar_split_clause,[],[f3672,f877,f1363]) ).
fof(f3677,plain,
( e21 != op2(e21,e22)
| ~ spl18_39
| ~ spl18_197
| spl18_283 ),
inference(superposition,[],[f2217,f1364]) ).
fof(f3678,plain,
( $false
| ~ spl18_39
| ~ spl18_103
| ~ spl18_197
| spl18_283 ),
inference(forward_subsumption_resolution,[],[f3677,f866]) ).
fof(f3679,plain,
( ~ spl18_39
| ~ spl18_103
| ~ spl18_197
| spl18_283 ),
inference(avatar_contradiction_clause,[],[f3678]) ).
fof(f3680,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| ~ spl18_192
| spl18_273 ),
inference(forward_demodulation,[],[f1861,f1339]) ).
fof(f3688,plain,
( e20 = h1(e12)
| ~ spl18_128 ),
inference(superposition,[],[f972,f137]) ).
fof(f3689,plain,
( $false
| ~ spl18_128
| spl18_270 ),
inference(forward_subsumption_resolution,[],[f3688,f1821]) ).
fof(f3690,plain,
( ~ spl18_128
| spl18_270 ),
inference(avatar_contradiction_clause,[],[f3689]) ).
fof(f3697,plain,
( e20 = op2(e22,e21)
| ~ spl18_106 ),
inference(superposition,[],[f142,f879]) ).
fof(f3699,plain,
( e10 = op1(e12,e11)
| ~ spl18_42 ),
inference(superposition,[],[f145,f575]) ).
fof(f3700,plain,
( spl18_28
| ~ spl18_42 ),
inference(avatar_split_clause,[],[f3699,f573,f513]) ).
fof(f3701,plain,
( e10 = e13
| ~ spl18_25
| ~ spl18_28 ),
inference(superposition,[],[f515,f503]) ).
fof(f3705,plain,
( $false
| ~ spl18_25
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f3701,f203]) ).
fof(f3706,plain,
( ~ spl18_25
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3707,plain,
( e11 = e13
| ~ spl18_9
| ~ spl18_11 ),
inference(forward_demodulation,[],[f435,f443]) ).
fof(f3712,plain,
( e10 = e11
| ~ spl18_27
| ~ spl18_28 ),
inference(forward_demodulation,[],[f511,f515]) ).
fof(f3715,plain,
( $false
| ~ spl18_9
| ~ spl18_11 ),
inference(forward_subsumption_resolution,[],[f3707,f201]) ).
fof(f3716,plain,
( ~ spl18_9
| ~ spl18_11 ),
inference(avatar_contradiction_clause,[],[f3715]) ).
fof(f3721,plain,
( $false
| ~ spl18_27
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f3712,f205]) ).
fof(f3722,plain,
( ~ spl18_27
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3726,plain,
( e10 = e11
| ~ spl18_59
| ~ spl18_60 ),
inference(forward_demodulation,[],[f647,f651]) ).
fof(f3735,plain,
( e12 != op1(e11,e11)
| ~ spl18_23
| spl18_141 ),
inference(forward_demodulation,[],[f1065,f494]) ).
fof(f3736,plain,
( $false
| ~ spl18_59
| ~ spl18_60 ),
inference(forward_subsumption_resolution,[],[f3726,f205]) ).
fof(f3737,plain,
( ~ spl18_59
| ~ spl18_60 ),
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3746,plain,
( $false
| ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(forward_subsumption_resolution,[],[f3735,f575]) ).
fof(f3747,plain,
( ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3750,plain,
( e11 = e12
| ~ spl18_62
| ~ spl18_63 ),
inference(forward_demodulation,[],[f660,f664]) ).
fof(f3754,plain,
( e10 = op1(e11,e11)
| ~ spl18_59
| ~ spl18_147 ),
inference(forward_demodulation,[],[f1096,f647]) ).
fof(f3756,plain,
( $false
| ~ spl18_62
| ~ spl18_63 ),
inference(forward_subsumption_resolution,[],[f3750,f202]) ).
fof(f3757,plain,
( ~ spl18_62
| ~ spl18_63 ),
inference(avatar_contradiction_clause,[],[f3756]) ).
fof(f3762,plain,
( spl18_44
| ~ spl18_59
| ~ spl18_147 ),
inference(avatar_split_clause,[],[f3754,f1094,f645,f581]) ).
fof(f3763,plain,
( spl18_21
| ~ spl18_14
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f1931,f1019,f454,f484]) ).
fof(f3781,plain,
( e12 = op1(e13,e13)
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f486]) ).
fof(f3790,plain,
( e11 = e12
| ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f3781,f409]) ).
fof(f3791,plain,
( $false
| ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_subsumption_resolution,[],[f3790,f202]) ).
fof(f3792,plain,
( ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(avatar_contradiction_clause,[],[f3791]) ).
fof(f3799,plain,
( e11 = e13
| ~ spl18_1
| ~ spl18_3 ),
inference(superposition,[],[f409,f401]) ).
fof(f3803,plain,
( $false
| ~ spl18_1
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f3799,f201]) ).
fof(f3804,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
fof(f3810,plain,
( e13 = op1(e11,e11)
| ~ spl18_3
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1041,f409]) ).
fof(f3812,plain,
( op2(e23,e23) != h2(e11)
| ~ spl18_3
| ~ spl18_192
| spl18_273 ),
inference(forward_demodulation,[],[f3680,f409]) ).
fof(f3817,plain,
( e12 = e13
| ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(forward_demodulation,[],[f3810,f575]) ).
fof(f3818,plain,
( e21 != op2(e23,e23)
| ~ spl18_3
| ~ spl18_192
| spl18_273 ),
inference(forward_demodulation,[],[f3812,f135]) ).
fof(f3819,plain,
( $false
| ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f3817,f200]) ).
fof(f3820,plain,
( ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f3819]) ).
fof(f3821,plain,
( $false
| ~ spl18_3
| ~ spl18_67
| ~ spl18_192
| spl18_273 ),
inference(forward_subsumption_resolution,[],[f3818,f713]) ).
fof(f3822,plain,
( ~ spl18_3
| ~ spl18_67
| ~ spl18_192
| spl18_273 ),
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3825,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl18_197
| spl18_274 ),
inference(forward_demodulation,[],[f1865,f1364]) ).
fof(f3828,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(forward_demodulation,[],[f3825,f1339]) ).
fof(f3835,plain,
( e10 = e13
| ~ spl18_9
| ~ spl18_12 ),
inference(superposition,[],[f447,f435]) ).
fof(f3841,plain,
( $false
| ~ spl18_9
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f3835,f203]) ).
fof(f3842,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3845,plain,
( e11 = e13
| ~ spl18_57
| ~ spl18_59 ),
inference(forward_demodulation,[],[f639,f647]) ).
fof(f3851,plain,
( $false
| ~ spl18_57
| ~ spl18_59 ),
inference(forward_subsumption_resolution,[],[f3845,f201]) ).
fof(f3852,plain,
( ~ spl18_57
| ~ spl18_59 ),
inference(avatar_contradiction_clause,[],[f3851]) ).
fof(f3861,plain,
( e10 = e11
| ~ spl18_3
| ~ spl18_4 ),
inference(superposition,[],[f413,f409]) ).
fof(f3865,plain,
( $false
| ~ spl18_3
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f3861,f205]) ).
fof(f3866,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f3865]) ).
fof(f3871,plain,
( op2(e23,e22) != h2(e10)
| ~ spl18_8
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(forward_demodulation,[],[f3828,f430]) ).
fof(f3873,plain,
( e20 != op2(e23,e22)
| ~ spl18_8
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(forward_demodulation,[],[f3871,f1194]) ).
fof(f3875,plain,
( $false
| ~ spl18_8
| ~ spl18_72
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(forward_subsumption_resolution,[],[f3873,f734]) ).
fof(f3876,plain,
( ~ spl18_8
| ~ spl18_72
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(avatar_contradiction_clause,[],[f3875]) ).
fof(f3891,plain,
( e12 = e13
| ~ spl18_21
| ~ spl18_22 ),
inference(superposition,[],[f486,f490]) ).
fof(f3892,plain,
( $false
| ~ spl18_21
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f3891,f200]) ).
fof(f3893,plain,
( ~ spl18_21
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f3892]) ).
fof(f3908,plain,
( e10 = e11
| ~ spl18_39
| ~ spl18_40 ),
inference(superposition,[],[f566,f562]) ).
fof(f3913,plain,
( $false
| ~ spl18_39
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f3908,f205]) ).
fof(f3914,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f3913]) ).
fof(f3916,plain,
( e12 = e13
| ~ spl18_53
| ~ spl18_54 ),
inference(superposition,[],[f626,f622]) ).
fof(f3920,plain,
( $false
| ~ spl18_53
| ~ spl18_54 ),
inference(forward_subsumption_resolution,[],[f3916,f200]) ).
fof(f3921,plain,
( ~ spl18_53
| ~ spl18_54 ),
inference(avatar_contradiction_clause,[],[f3920]) ).
fof(f3932,plain,
( e21 != op2(e23,e22)
| ~ spl18_67 ),
inference(superposition,[],[f206,f713]) ).
fof(f3935,plain,
( e21 != op2(e23,e21)
| ~ spl18_67 ),
inference(superposition,[],[f207,f713]) ).
fof(f3973,plain,
( e22 != op2(e21,e20)
| ~ spl18_106 ),
inference(superposition,[],[f223,f879]) ).
fof(f3986,plain,
( e21 != op2(e22,e23)
| ~ spl18_67 ),
inference(superposition,[],[f230,f713]) ).
fof(f3991,plain,
( e21 != op2(e21,e23)
| ~ spl18_67 ),
inference(superposition,[],[f231,f713]) ).
fof(f3995,plain,
( e22 != op2(e21,e23)
| ~ spl18_82 ),
inference(superposition,[],[f232,f777]) ).
fof(f4001,plain,
( e22 != op2(e20,e23)
| ~ spl18_82 ),
inference(superposition,[],[f234,f777]) ).
fof(f4015,plain,
( e23 != op2(e20,e22)
| ~ spl18_85 ),
inference(superposition,[],[f240,f790]) ).
fof(f4024,plain,
( e23 != op2(e20,e21)
| ~ spl18_73 ),
inference(superposition,[],[f245,f739]) ).
fof(f4034,plain,
( e21 != op2(e21,e20)
| ~ spl18_95 ),
inference(superposition,[],[f250,f832]) ).
fof(f4042,plain,
( e11 != op1(e13,e12)
| ~ spl18_3 ),
inference(superposition,[],[f254,f409]) ).
fof(f4044,plain,
( e11 != op1(e13,e11)
| ~ spl18_3 ),
inference(superposition,[],[f255,f409]) ).
fof(f4047,plain,
( e11 != op1(e13,e10)
| ~ spl18_3 ),
inference(superposition,[],[f257,f409]) ).
fof(f4049,plain,
( e10 != op1(e13,e10)
| ~ spl18_8 ),
inference(superposition,[],[f258,f430]) ).
fof(f4051,plain,
( e13 != op1(e13,e10)
| ~ spl18_9 ),
inference(superposition,[],[f259,f435]) ).
fof(f4058,plain,
( e12 != op1(e12,e10)
| ~ spl18_18 ),
inference(superposition,[],[f263,f473]) ).
fof(f4072,plain,
( e12 != op1(e11,e10)
| ~ spl18_42 ),
inference(superposition,[],[f271,f575]) ).
fof(f4079,plain,
( op1(e10,e10) != e13
| ~ spl18_49 ),
inference(superposition,[],[f275,f605]) ).
fof(f4087,plain,
( e11 != op1(e11,e13)
| ~ spl18_3 ),
inference(superposition,[],[f279,f409]) ).
fof(f4089,plain,
( e11 != op1(e10,e13)
| ~ spl18_3 ),
inference(superposition,[],[f281,f409]) ).
fof(f4091,plain,
( e12 != op1(e10,e13)
| ~ spl18_18 ),
inference(superposition,[],[f282,f473]) ).
fof(f4093,plain,
( e10 != op1(e10,e13)
| ~ spl18_36 ),
inference(superposition,[],[f283,f549]) ).
fof(f4097,plain,
( e10 != op1(e11,e12)
| ~ spl18_8 ),
inference(superposition,[],[f285,f430]) ).
fof(f4100,plain,
( e10 != op1(e10,e12)
| ~ spl18_8 ),
inference(superposition,[],[f287,f430]) ).
fof(f4115,plain,
( e12 != op1(e10,e11)
| ~ spl18_42 ),
inference(superposition,[],[f295,f575]) ).
fof(f4145,plain,
( e22 = op2(e23,e23)
| ~ spl18_160
| ~ spl18_181 ),
inference(superposition,[],[f2573,f1284]) ).
fof(f4146,plain,
( e21 = e22
| ~ spl18_67
| ~ spl18_160
| ~ spl18_181 ),
inference(forward_demodulation,[],[f4145,f713]) ).
fof(f4147,plain,
( $false
| ~ spl18_67
| ~ spl18_160
| ~ spl18_181 ),
inference(forward_subsumption_resolution,[],[f4146,f196]) ).
fof(f4148,plain,
( ~ spl18_67
| ~ spl18_160
| ~ spl18_181 ),
inference(avatar_contradiction_clause,[],[f4147]) ).
fof(f4152,plain,
( e21 = op2(e22,e22)
| ~ spl18_165
| ~ spl18_197 ),
inference(superposition,[],[f2663,f1364]) ).
fof(f4153,plain,
( spl18_87
| ~ spl18_165
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f4152,f1363,f1181,f796]) ).
fof(f4155,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| ~ spl18_197
| spl18_276 ),
inference(forward_demodulation,[],[f1873,f1364]) ).
fof(f4157,plain,
( op2(e22,e22) != h2(e13)
| ~ spl18_21
| ~ spl18_197
| spl18_276 ),
inference(forward_demodulation,[],[f4155,f486]) ).
fof(f4159,plain,
( e23 != op2(e22,e22)
| ~ spl18_21
| ~ spl18_192
| ~ spl18_197
| spl18_276 ),
inference(forward_demodulation,[],[f4157,f1339]) ).
fof(f4160,plain,
( $false
| ~ spl18_21
| ~ spl18_85
| ~ spl18_192
| ~ spl18_197
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f4159,f790]) ).
fof(f4161,plain,
( ~ spl18_21
| ~ spl18_85
| ~ spl18_192
| ~ spl18_197
| spl18_276 ),
inference(avatar_contradiction_clause,[],[f4160]) ).
fof(f4162,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| ~ spl18_192
| spl18_275 ),
inference(forward_demodulation,[],[f1869,f1339]) ).
fof(f4164,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(forward_demodulation,[],[f4162,f1364]) ).
fof(f4166,plain,
( op2(e22,e23) != h2(e12)
| ~ spl18_18
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(forward_demodulation,[],[f4164,f473]) ).
fof(f4168,plain,
( e22 != op2(e22,e23)
| ~ spl18_18
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(forward_demodulation,[],[f4166,f1364]) ).
fof(f4169,plain,
( $false
| ~ spl18_18
| ~ spl18_82
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(forward_subsumption_resolution,[],[f4168,f777]) ).
fof(f4170,plain,
( ~ spl18_18
| ~ spl18_82
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(avatar_contradiction_clause,[],[f4169]) ).
fof(f4172,plain,
( h1(e12) != h2(e10)
| ~ spl18_64
| spl18_278 ),
inference(forward_demodulation,[],[f1881,f668]) ).
fof(f4174,plain,
( e20 != h1(e12)
| ~ spl18_64
| spl18_278 ),
inference(forward_demodulation,[],[f4172,f1194]) ).
fof(f4176,plain,
( $false
| ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(forward_subsumption_resolution,[],[f4174,f1820]) ).
fof(f4177,plain,
( ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(avatar_contradiction_clause,[],[f4176]) ).
fof(f4179,plain,
( op2(e20,e21) != h2(e11)
| ~ spl18_59
| spl18_277 ),
inference(forward_demodulation,[],[f1877,f647]) ).
fof(f4181,plain,
( e21 != op2(e20,e21)
| ~ spl18_59
| spl18_277 ),
inference(forward_demodulation,[],[f4179,f135]) ).
fof(f4183,plain,
( $false
| ~ spl18_59
| ~ spl18_123
| spl18_277 ),
inference(forward_subsumption_resolution,[],[f4181,f951]) ).
fof(f4184,plain,
( ~ spl18_59
| ~ spl18_123
| spl18_277 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4186,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| ~ spl18_192
| spl18_280 ),
inference(forward_demodulation,[],[f1889,f1339]) ).
fof(f4188,plain,
( op2(e20,e23) != h2(e13)
| ~ spl18_49
| ~ spl18_192
| spl18_280 ),
inference(forward_demodulation,[],[f4186,f605]) ).
fof(f4189,plain,
( e23 != op2(e20,e23)
| ~ spl18_49
| ~ spl18_192
| spl18_280 ),
inference(forward_demodulation,[],[f4188,f1339]) ).
fof(f4190,plain,
( $false
| ~ spl18_49
| ~ spl18_113
| ~ spl18_192
| spl18_280 ),
inference(forward_subsumption_resolution,[],[f4189,f909]) ).
fof(f4191,plain,
( ~ spl18_49
| ~ spl18_113
| ~ spl18_192
| spl18_280 ),
inference(avatar_contradiction_clause,[],[f4190]) ).
fof(f4192,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl18_197
| spl18_279 ),
inference(forward_demodulation,[],[f1885,f1364]) ).
fof(f4194,plain,
( op2(e20,e22) != h2(e12)
| ~ spl18_54
| ~ spl18_197
| spl18_279 ),
inference(forward_demodulation,[],[f4192,f626]) ).
fof(f4196,plain,
( e22 != op2(e20,e22)
| ~ spl18_54
| ~ spl18_197
| spl18_279 ),
inference(forward_demodulation,[],[f4194,f1364]) ).
fof(f4198,plain,
( $false
| ~ spl18_54
| ~ spl18_118
| ~ spl18_197
| spl18_279 ),
inference(forward_subsumption_resolution,[],[f4196,f930]) ).
fof(f4199,plain,
( ~ spl18_54
| ~ spl18_118
| ~ spl18_197
| spl18_279 ),
inference(avatar_contradiction_clause,[],[f4198]) ).
fof(f4201,plain,
( h2(e12) != h2(e12)
| ~ spl18_42
| spl18_282 ),
inference(forward_demodulation,[],[f1897,f575]) ).
fof(f4202,plain,
( $false
| ~ spl18_42
| spl18_282 ),
inference(trivial_inequality_removal,[],[f4201]) ).
fof(f4203,plain,
( ~ spl18_42
| spl18_282 ),
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f4206,plain,
( op2(e21,e20) != h2(e13)
| ~ spl18_45
| spl18_281 ),
inference(forward_demodulation,[],[f1893,f588]) ).
fof(f4207,plain,
( e23 != op2(e21,e20)
| ~ spl18_45
| ~ spl18_192
| spl18_281 ),
inference(forward_demodulation,[],[f4206,f1339]) ).
fof(f4208,plain,
( $false
| ~ spl18_45
| ~ spl18_109
| ~ spl18_192
| spl18_281 ),
inference(forward_subsumption_resolution,[],[f4207,f892]) ).
fof(f4209,plain,
( ~ spl18_45
| ~ spl18_109
| ~ spl18_192
| spl18_281 ),
inference(avatar_contradiction_clause,[],[f4208]) ).
fof(f4211,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl18_197
| spl18_285 ),
inference(forward_demodulation,[],[f1909,f1364]) ).
fof(f4213,plain,
( op2(e22,e20) != h2(e11)
| ~ spl18_31
| ~ spl18_197
| spl18_285 ),
inference(forward_demodulation,[],[f4211,f528]) ).
fof(f4214,plain,
( e21 != op2(e22,e20)
| ~ spl18_31
| ~ spl18_197
| spl18_285 ),
inference(forward_demodulation,[],[f4213,f135]) ).
fof(f4215,plain,
( $false
| ~ spl18_31
| ~ spl18_95
| ~ spl18_197
| spl18_285 ),
inference(forward_subsumption_resolution,[],[f4214,f832]) ).
fof(f4216,plain,
( ~ spl18_31
| ~ spl18_95
| ~ spl18_197
| spl18_285 ),
inference(avatar_contradiction_clause,[],[f4215]) ).
fof(f4217,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl18_192
| spl18_284 ),
inference(forward_demodulation,[],[f1905,f1339]) ).
fof(f4219,plain,
( op2(e21,e23) != h2(e10)
| ~ spl18_36
| ~ spl18_192
| spl18_284 ),
inference(forward_demodulation,[],[f4217,f549]) ).
fof(f4221,plain,
( e20 != op2(e21,e23)
| ~ spl18_36
| ~ spl18_192
| spl18_284 ),
inference(forward_demodulation,[],[f4219,f1194]) ).
fof(f4226,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl18_192
| spl18_287 ),
inference(forward_demodulation,[],[f1917,f1339]) ).
fof(f4228,plain,
( op2(e23,e20) != h2(e12)
| ~ spl18_14
| ~ spl18_192
| spl18_287 ),
inference(forward_demodulation,[],[f4226,f456]) ).
fof(f4230,plain,
( e22 != op2(e23,e20)
| ~ spl18_14
| ~ spl18_192
| ~ spl18_197
| spl18_287 ),
inference(forward_demodulation,[],[f4228,f1364]) ).
fof(f4231,plain,
( $false
| ~ spl18_14
| ~ spl18_78
| ~ spl18_192
| ~ spl18_197
| spl18_287 ),
inference(forward_subsumption_resolution,[],[f4230,f760]) ).
fof(f4232,plain,
( ~ spl18_14
| ~ spl18_78
| ~ spl18_192
| ~ spl18_197
| spl18_287 ),
inference(avatar_contradiction_clause,[],[f4231]) ).
fof(f4233,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| ~ spl18_197
| spl18_286 ),
inference(forward_demodulation,[],[f1913,f1364]) ).
fof(f4235,plain,
( op2(e22,e21) != h2(e10)
| ~ spl18_28
| ~ spl18_197
| spl18_286 ),
inference(forward_demodulation,[],[f4233,f515]) ).
fof(f4237,plain,
( e20 != op2(e22,e21)
| ~ spl18_28
| ~ spl18_197
| spl18_286 ),
inference(forward_demodulation,[],[f4235,f1194]) ).
fof(f4239,plain,
( $false
| ~ spl18_28
| ~ spl18_92
| ~ spl18_197
| spl18_286 ),
inference(forward_subsumption_resolution,[],[f4237,f819]) ).
fof(f4240,plain,
( ~ spl18_28
| ~ spl18_92
| ~ spl18_197
| spl18_286 ),
inference(avatar_contradiction_clause,[],[f4239]) ).
fof(f4242,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl18_192
| spl18_288 ),
inference(forward_demodulation,[],[f1921,f1339]) ).
fof(f4244,plain,
( op2(e23,e21) != h2(e13)
| ~ spl18_9
| ~ spl18_192
| spl18_288 ),
inference(forward_demodulation,[],[f4242,f435]) ).
fof(f4246,plain,
( e23 != op2(e23,e21)
| ~ spl18_9
| ~ spl18_192
| spl18_288 ),
inference(forward_demodulation,[],[f4244,f1339]) ).
fof(f4247,plain,
( $false
| ~ spl18_9
| ~ spl18_73
| ~ spl18_192
| spl18_288 ),
inference(forward_subsumption_resolution,[],[f4246,f739]) ).
fof(f4248,plain,
( ~ spl18_9
| ~ spl18_73
| ~ spl18_192
| spl18_288 ),
inference(avatar_contradiction_clause,[],[f4247]) ).
fof(f4284,plain,
( e12 = op1(e13,e13)
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f486]) ).
fof(f4302,plain,
( $false
| ~ spl18_42
| ~ spl18_46 ),
inference(forward_subsumption_resolution,[],[f4072,f592]) ).
fof(f4303,plain,
( ~ spl18_42
| ~ spl18_46 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
fof(f4324,plain,
( e10 = e12
| ~ spl18_4
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f4284,f413]) ).
fof(f4337,plain,
( $false
| ~ spl18_4
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_subsumption_resolution,[],[f4324,f204]) ).
fof(f4338,plain,
( ~ spl18_4
| ~ spl18_21
| ~ spl18_141 ),
inference(avatar_contradiction_clause,[],[f4337]) ).
fof(f4349,plain,
( ~ spl18_40
| ~ spl18_8 ),
inference(avatar_split_clause,[],[f4097,f428,f564]) ).
fof(f4362,plain,
( spl18_63
| ~ spl18_48
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f2335,f1029,f598,f662]) ).
fof(f4368,plain,
( op1(e10,e10) = e13
| ~ spl18_8
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f430]) ).
fof(f4369,plain,
( e11 = op1(e11,e11)
| ~ spl18_39
| ~ spl18_142 ),
inference(forward_demodulation,[],[f1071,f562]) ).
fof(f4370,plain,
( e10 = op1(e12,e12)
| ~ spl18_54
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f626]) ).
fof(f4408,plain,
( $false
| ~ spl18_8
| spl18_61
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f4368,f655]) ).
fof(f4409,plain,
( ~ spl18_8
| spl18_61
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f4408]) ).
fof(f4410,plain,
( spl18_43
| ~ spl18_39
| ~ spl18_142 ),
inference(avatar_split_clause,[],[f4369,f1069,f560,f577]) ).
fof(f4411,plain,
( spl18_24
| ~ spl18_54
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f4370,f1074,f624,f496]) ).
fof(f4439,plain,
( ~ spl18_13
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f4051,f433,f450]) ).
fof(f4457,plain,
( e10 = op1(e13,e13)
| ~ spl18_49
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f605]) ).
fof(f4466,plain,
( e10 != op1(e10,e10)
| ~ spl18_64
| spl18_135 ),
inference(forward_demodulation,[],[f1035,f668]) ).
fof(f4503,plain,
( spl18_4
| ~ spl18_49
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f4457,f1054,f603,f411]) ).
fof(f4509,plain,
( $false
| ~ spl18_64
| spl18_135 ),
inference(forward_subsumption_resolution,[],[f4466,f668]) ).
fof(f4510,plain,
( ~ spl18_64
| spl18_135 ),
inference(avatar_contradiction_clause,[],[f4509]) ).
fof(f4552,plain,
( e11 != op1(e12,e12)
| ~ spl18_34
| spl18_138 ),
inference(forward_demodulation,[],[f1050,f541]) ).
fof(f4555,plain,
( e13 = op1(e11,e11)
| ~ spl18_7
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f426]) ).
fof(f4557,plain,
( e10 = op1(e10,e10)
| ~ spl18_56
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f634]) ).
fof(f4590,plain,
( $false
| ~ spl18_23
| ~ spl18_34
| spl18_138 ),
inference(forward_subsumption_resolution,[],[f4552,f494]) ).
fof(f4591,plain,
( ~ spl18_23
| ~ spl18_34
| spl18_138 ),
inference(avatar_contradiction_clause,[],[f4590]) ).
fof(f4593,plain,
( e12 = e13
| ~ spl18_7
| ~ spl18_42
| ~ spl18_140 ),
inference(forward_demodulation,[],[f4555,f575]) ).
fof(f4594,plain,
( spl18_64
| ~ spl18_56
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f4557,f1074,f632,f666]) ).
fof(f4610,plain,
( $false
| ~ spl18_7
| ~ spl18_42
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f4593,f200]) ).
fof(f4611,plain,
( ~ spl18_7
| ~ spl18_42
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f4610]) ).
fof(f4662,plain,
( e10 = op1(e11,e11)
| ~ spl18_55
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f630]) ).
fof(f4687,plain,
( spl18_44
| ~ spl18_55
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f4662,f1074,f628,f581]) ).
fof(f4704,plain,
( ~ spl18_61
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f4079,f603,f654]) ).
fof(f4710,plain,
( spl18_23
| ~ spl18_34
| ~ spl18_138 ),
inference(avatar_split_clause,[],[f2114,f1049,f539,f492]) ).
fof(f4734,plain,
( op1(e10,e10) = e13
| ~ spl18_4
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1041,f413]) ).
fof(f4750,plain,
( $false
| ~ spl18_4
| spl18_61
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f4734,f655]) ).
fof(f4751,plain,
( ~ spl18_4
| spl18_61
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f4750]) ).
fof(f4780,plain,
( e13 = op1(e13,e13)
| ~ spl18_5
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f418]) ).
fof(f4793,plain,
( $false
| ~ spl18_42
| ~ spl18_58 ),
inference(forward_subsumption_resolution,[],[f4115,f643]) ).
fof(f4794,plain,
( ~ spl18_42
| ~ spl18_58 ),
inference(avatar_contradiction_clause,[],[f4793]) ).
fof(f4826,plain,
( $false
| spl18_1
| ~ spl18_5
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f4780,f400]) ).
fof(f4827,plain,
( spl18_1
| ~ spl18_5
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f4826]) ).
fof(f4868,plain,
( ~ spl18_35
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4087,f407,f543]) ).
fof(f4869,plain,
( ~ spl18_7
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4042,f407,f424]) ).
fof(f4870,plain,
( ~ spl18_51
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4089,f407,f611]) ).
fof(f4871,plain,
( ~ spl18_11
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4044,f407,f441]) ).
fof(f4872,plain,
( ~ spl18_15
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4047,f407,f458]) ).
fof(f4873,plain,
( ~ spl18_16
| ~ spl18_8 ),
inference(avatar_split_clause,[],[f4049,f428,f462]) ).
fof(f4874,plain,
( ~ spl18_56
| ~ spl18_8 ),
inference(avatar_split_clause,[],[f4100,f428,f632]) ).
fof(f4884,plain,
( ~ spl18_30
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f4058,f471,f522]) ).
fof(f4887,plain,
( ~ spl18_50
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f4091,f471,f607]) ).
fof(f4893,plain,
( ~ spl18_100
| ~ spl18_36
| ~ spl18_192
| spl18_284 ),
inference(avatar_split_clause,[],[f4221,f1903,f1338,f547,f851]) ).
fof(f4894,plain,
( ~ spl18_52
| ~ spl18_36 ),
inference(avatar_split_clause,[],[f4093,f547,f615]) ).
fof(f4947,plain,
( spl18_92
| ~ spl18_106 ),
inference(avatar_split_clause,[],[f3697,f877,f817]) ).
fof(f5129,plain,
( e20 != op2(e22,e21)
| ~ spl18_84 ),
inference(superposition,[],[f213,f785]) ).
fof(f5138,plain,
( $false
| ~ spl18_84
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f5129,f819]) ).
fof(f5139,plain,
( ~ spl18_84
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f5138]) ).
fof(f5153,plain,
( e22 != op2(e23,e23)
| ~ spl18_93
| spl18_152 ),
inference(forward_demodulation,[],[f1117,f824]) ).
fof(f5155,plain,
( e23 = op2(e23,e23)
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f739]) ).
fof(f5236,plain,
( $false
| ~ spl18_66
| ~ spl18_93
| spl18_152 ),
inference(forward_subsumption_resolution,[],[f5153,f709]) ).
fof(f5237,plain,
( ~ spl18_66
| ~ spl18_93
| spl18_152 ),
inference(avatar_contradiction_clause,[],[f5236]) ).
fof(f5239,plain,
( e22 = e23
| ~ spl18_66
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_demodulation,[],[f5155,f709]) ).
fof(f5266,plain,
( $false
| ~ spl18_66
| ~ spl18_73
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f5239,f194]) ).
fof(f5267,plain,
( ~ spl18_66
| ~ spl18_73
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f5266]) ).
fof(f5276,plain,
( e23 = op2(e23,e23)
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f722]) ).
fof(f5279,plain,
( spl18_127
| ~ spl18_104
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f2680,f1161,f868,f966]) ).
fof(f5349,plain,
( e22 = e23
| ~ spl18_66
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_demodulation,[],[f5276,f709]) ).
fof(f5382,plain,
( $false
| ~ spl18_66
| ~ spl18_69
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f5349,f194]) ).
fof(f5383,plain,
( ~ spl18_66
| ~ spl18_69
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f5382]) ).
fof(f5414,plain,
( ~ spl18_71
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3932,f711,f728]) ).
fof(f5415,plain,
( ~ spl18_75
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3935,f711,f745]) ).
fof(f5418,plain,
( ~ spl18_83
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3986,f711,f779]) ).
fof(f5419,plain,
( ~ spl18_99
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f3991,f711,f847]) ).
fof(f5420,plain,
( ~ spl18_121
| ~ spl18_73 ),
inference(avatar_split_clause,[],[f4024,f737,f941]) ).
fof(f5425,plain,
( e20 = e22
| ~ spl18_90
| ~ spl18_92 ),
inference(forward_demodulation,[],[f811,f819]) ).
fof(f5427,plain,
( ~ spl18_111
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f4034,f830,f898]) ).
fof(f5433,plain,
( op2(e20,e20) = e23
| ~ spl18_80
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f768]) ).
fof(f5481,plain,
( e22 = op2(e23,e23)
| ~ spl18_81
| ~ spl18_156 ),
inference(forward_demodulation,[],[f1138,f773]) ).
fof(f5493,plain,
( $false
| ~ spl18_90
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f5425,f198]) ).
fof(f5494,plain,
( ~ spl18_90
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f5493]) ).
fof(f5497,plain,
( e22 = e23
| ~ spl18_80
| ~ spl18_126
| ~ spl18_151 ),
inference(forward_demodulation,[],[f5433,f964]) ).
fof(f5518,plain,
( e21 = e22
| ~ spl18_67
| ~ spl18_81
| ~ spl18_156 ),
inference(forward_demodulation,[],[f5481,f713]) ).
fof(f5522,plain,
( $false
| ~ spl18_80
| ~ spl18_126
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f5497,f194]) ).
fof(f5523,plain,
( ~ spl18_80
| ~ spl18_126
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f5522]) ).
fof(f5527,plain,
( $false
| ~ spl18_67
| ~ spl18_81
| ~ spl18_156 ),
inference(forward_subsumption_resolution,[],[f5518,f196]) ).
fof(f5528,plain,
( ~ spl18_67
| ~ spl18_81
| ~ spl18_156 ),
inference(avatar_contradiction_clause,[],[f5527]) ).
fof(f5533,plain,
( ~ spl18_98
| ~ spl18_82 ),
inference(avatar_split_clause,[],[f3995,f775,f843]) ).
fof(f5534,plain,
( ~ spl18_114
| ~ spl18_82 ),
inference(avatar_split_clause,[],[f4001,f775,f911]) ).
fof(f5535,plain,
( spl18_181
| ~ spl18_85 ),
inference(avatar_split_clause,[],[f3662,f788,f1283]) ).
fof(f5536,plain,
( ~ spl18_117
| ~ spl18_85 ),
inference(avatar_split_clause,[],[f4015,f788,f924]) ).
fof(f5550,plain,
( e20 = e22
| ~ spl18_68
| ~ spl18_160
| ~ spl18_181 ),
inference(forward_demodulation,[],[f4145,f717]) ).
fof(f5585,plain,
( $false
| ~ spl18_106
| ~ spl18_110 ),
inference(forward_subsumption_resolution,[],[f3973,f896]) ).
fof(f5586,plain,
( ~ spl18_106
| ~ spl18_110 ),
inference(avatar_contradiction_clause,[],[f5585]) ).
fof(f5607,plain,
( $false
| ~ spl18_68
| ~ spl18_160
| ~ spl18_181 ),
inference(forward_subsumption_resolution,[],[f5550,f198]) ).
fof(f5608,plain,
( ~ spl18_68
| ~ spl18_160
| ~ spl18_181 ),
inference(avatar_contradiction_clause,[],[f5607]) ).
cnf(s1,plain,
( spl18_1
| spl18_2
| spl18_3
| spl18_4 ),
inference(sat_conversion,[],[f414]) ).
cnf(s2,plain,
( spl18_5
| spl18_6
| spl18_7
| spl18_8 ),
inference(sat_conversion,[],[f431]) ).
cnf(s4,plain,
( spl18_13
| spl18_14
| spl18_15
| spl18_16 ),
inference(sat_conversion,[],[f465]) ).
cnf(s9,plain,
( spl18_33
| spl18_34
| spl18_35
| spl18_36 ),
inference(sat_conversion,[],[f550]) ).
cnf(s12,plain,
( spl18_45
| spl18_46
| spl18_47
| spl18_48 ),
inference(sat_conversion,[],[f601]) ).
cnf(s13,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_52 ),
inference(sat_conversion,[],[f618]) ).
cnf(s14,plain,
( spl18_53
| spl18_54
| spl18_55
| spl18_56 ),
inference(sat_conversion,[],[f635]) ).
cnf(s16,plain,
( spl18_61
| spl18_62
| spl18_63
| spl18_64 ),
inference(sat_conversion,[],[f669]) ).
cnf(s17,plain,
( spl18_1
| spl18_17
| spl18_33
| spl18_49 ),
inference(sat_conversion,[],[f670]) ).
cnf(s18,plain,
( spl18_1
| spl18_5
| spl18_9
| spl18_13 ),
inference(sat_conversion,[],[f671]) ).
cnf(s19,plain,
( spl18_2
| spl18_18
| spl18_34
| spl18_50 ),
inference(sat_conversion,[],[f672]) ).
cnf(s20,plain,
( spl18_2
| spl18_6
| spl18_10
| spl18_14 ),
inference(sat_conversion,[],[f673]) ).
cnf(s21,plain,
( spl18_3
| spl18_19
| spl18_35
| spl18_51 ),
inference(sat_conversion,[],[f674]) ).
cnf(s22,plain,
( spl18_3
| spl18_7
| spl18_11
| spl18_15 ),
inference(sat_conversion,[],[f675]) ).
cnf(s24,plain,
( spl18_4
| spl18_8
| spl18_12
| spl18_16 ),
inference(sat_conversion,[],[f677]) ).
cnf(s25,plain,
( spl18_5
| spl18_21
| spl18_37
| spl18_53 ),
inference(sat_conversion,[],[f678]) ).
cnf(s26,plain,
( spl18_17
| spl18_21
| spl18_25
| spl18_29 ),
inference(sat_conversion,[],[f679]) ).
cnf(s27,plain,
( spl18_6
| spl18_22
| spl18_38
| spl18_54 ),
inference(sat_conversion,[],[f680]) ).
cnf(s28,plain,
( spl18_18
| spl18_22
| spl18_26
| spl18_30 ),
inference(sat_conversion,[],[f681]) ).
cnf(s29,plain,
( spl18_7
| spl18_23
| spl18_39
| spl18_55 ),
inference(sat_conversion,[],[f682]) ).
cnf(s30,plain,
( spl18_19
| spl18_23
| spl18_27
| spl18_31 ),
inference(sat_conversion,[],[f683]) ).
cnf(s33,plain,
( spl18_9
| spl18_25
| spl18_41
| spl18_57 ),
inference(sat_conversion,[],[f686]) ).
cnf(s37,plain,
( spl18_11
| spl18_27
| spl18_43
| spl18_59 ),
inference(sat_conversion,[],[f690]) ).
cnf(s38,plain,
( spl18_35
| spl18_39
| spl18_43
| spl18_47 ),
inference(sat_conversion,[],[f691]) ).
cnf(s40,plain,
( spl18_36
| spl18_40
| spl18_44
| spl18_48 ),
inference(sat_conversion,[],[f693]) ).
cnf(s41,plain,
( spl18_13
| spl18_29
| spl18_45
| spl18_61 ),
inference(sat_conversion,[],[f694]) ).
cnf(s42,plain,
( spl18_49
| spl18_53
| spl18_57
| spl18_61 ),
inference(sat_conversion,[],[f695]) ).
cnf(s43,plain,
( spl18_14
| spl18_30
| spl18_46
| spl18_62 ),
inference(sat_conversion,[],[f696]) ).
cnf(s44,plain,
( spl18_50
| spl18_54
| spl18_58
| spl18_62 ),
inference(sat_conversion,[],[f697]) ).
cnf(s45,plain,
( spl18_15
| spl18_31
| spl18_47
| spl18_63 ),
inference(sat_conversion,[],[f698]) ).
cnf(s46,plain,
( spl18_51
| spl18_55
| spl18_59
| spl18_63 ),
inference(sat_conversion,[],[f699]) ).
cnf(s47,plain,
( spl18_16
| spl18_32
| spl18_48
| spl18_64 ),
inference(sat_conversion,[],[f700]) ).
cnf(s48,plain,
( spl18_52
| spl18_56
| spl18_60
| spl18_64 ),
inference(sat_conversion,[],[f701]) ).
cnf(s49,plain,
( spl18_65
| spl18_66
| spl18_67
| spl18_68 ),
inference(sat_conversion,[],[f718]) ).
cnf(s53,plain,
( spl18_81
| spl18_82
| spl18_83
| spl18_84 ),
inference(sat_conversion,[],[f786]) ).
cnf(s54,plain,
( spl18_85
| spl18_86
| spl18_87
| spl18_88 ),
inference(sat_conversion,[],[f803]) ).
cnf(s57,plain,
( spl18_97
| spl18_98
| spl18_99
| spl18_100 ),
inference(sat_conversion,[],[f854]) ).
cnf(s60,plain,
( spl18_109
| spl18_110
| spl18_111
| spl18_112 ),
inference(sat_conversion,[],[f905]) ).
cnf(s65,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(sat_conversion,[],[f974]) ).
cnf(s66,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(sat_conversion,[],[f975]) ).
cnf(s67,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(sat_conversion,[],[f976]) ).
cnf(s68,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(sat_conversion,[],[f977]) ).
cnf(s69,plain,
( spl18_67
| spl18_83
| spl18_99
| spl18_115 ),
inference(sat_conversion,[],[f978]) ).
cnf(s70,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(sat_conversion,[],[f979]) ).
cnf(s71,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(sat_conversion,[],[f980]) ).
cnf(s72,plain,
( spl18_68
| spl18_72
| spl18_76
| spl18_80 ),
inference(sat_conversion,[],[f981]) ).
cnf(s73,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(sat_conversion,[],[f982]) ).
cnf(s74,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(sat_conversion,[],[f983]) ).
cnf(s75,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(sat_conversion,[],[f984]) ).
cnf(s76,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(sat_conversion,[],[f985]) ).
cnf(s77,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(sat_conversion,[],[f986]) ).
cnf(s78,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(sat_conversion,[],[f987]) ).
cnf(s79,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(sat_conversion,[],[f988]) ).
cnf(s81,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(sat_conversion,[],[f990]) ).
cnf(s82,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(sat_conversion,[],[f991]) ).
cnf(s85,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(sat_conversion,[],[f994]) ).
cnf(s86,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(sat_conversion,[],[f995]) ).
cnf(s89,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(sat_conversion,[],[f998]) ).
cnf(s90,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(sat_conversion,[],[f999]) ).
cnf(s91,plain,
( spl18_78
| spl18_94
| spl18_110
| spl18_126 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s92,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s93,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s94,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s95,plain,
( spl18_80
| spl18_96
| spl18_112
| spl18_128 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s96,plain,
( spl18_116
| spl18_120
| spl18_124
| spl18_128 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s97,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_132 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s98,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_133 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s99,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_134 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s100,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_135 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s101,plain,
( ~ spl18_129
| spl18_136 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s103,plain,
( ~ spl18_129
| spl18_138 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s104,plain,
( ~ spl18_129
| spl18_139 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s105,plain,
( ~ spl18_130
| spl18_140 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s106,plain,
( ~ spl18_130
| spl18_141 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s107,plain,
( ~ spl18_130
| spl18_142 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s108,plain,
( ~ spl18_130
| spl18_143 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s109,plain,
( ~ spl18_131
| spl18_144 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s112,plain,
( ~ spl18_131
| spl18_147 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s113,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_151 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s114,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_152 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s115,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_153 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s118,plain,
( ~ spl18_148
| spl18_156 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s119,plain,
( ~ spl18_148
| spl18_157 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s120,plain,
( ~ spl18_148
| spl18_158 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s121,plain,
( ~ spl18_149
| spl18_159 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s122,plain,
( ~ spl18_149
| spl18_160 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s123,plain,
( ~ spl18_149
| spl18_161 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s124,plain,
( ~ spl18_149
| spl18_162 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s125,plain,
( ~ spl18_150
| spl18_163 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s127,plain,
( ~ spl18_150
| spl18_165 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s128,plain,
( ~ spl18_150
| spl18_166 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s129,plain,
spl18_42,
inference(sat_conversion,[],[f1190]) ).
cnf(s130,plain,
spl18_106,
inference(sat_conversion,[],[f1191]) ).
cnf(s149,plain,
( ~ spl18_191
| ~ spl18_192 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s153,plain,
( ~ spl18_195
| ~ spl18_197 ),
inference(sat_conversion,[],[f1366]) ).
cnf(s167,plain,
spl18_192,
inference(sat_conversion,[],[f1453]) ).
cnf(s170,plain,
~ spl18_199,
inference(sat_conversion,[],[f1472]) ).
cnf(s183,plain,
( spl18_191
| spl18_195
| spl18_199
| ~ spl18_273
| ~ spl18_274
| ~ spl18_275
| ~ spl18_276
| ~ spl18_277
| ~ spl18_278
| ~ spl18_279
| ~ spl18_280
| ~ spl18_281
| ~ spl18_282
| ~ spl18_283
| ~ spl18_284
| ~ spl18_285
| ~ spl18_286
| ~ spl18_287
| ~ spl18_288 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s184,plain,
( spl18_3
| ~ spl18_45
| ~ spl18_134 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s185,plain,
( spl18_4
| ~ spl18_61
| ~ spl18_135 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s186,plain,
( spl18_66
| ~ spl18_93
| ~ spl18_152 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s187,plain,
( spl18_67
| ~ spl18_109
| ~ spl18_153 ),
inference(sat_conversion,[],[f1946]) ).
cnf(s189,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s192,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s193,plain,
( spl18_24
| ~ spl18_62
| ~ spl18_135 ),
inference(sat_conversion,[],[f1965]) ).
cnf(s196,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(sat_conversion,[],[f1975]) ).
cnf(s204,plain,
( ~ spl18_14
| ~ spl18_15 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s205,plain,
( ~ spl18_15
| ~ spl18_42
| ~ spl18_132 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s206,plain,
( ~ spl18_16
| spl18_61
| ~ spl18_132 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s207,plain,
( ~ spl18_35
| spl18_43
| ~ spl18_138 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s209,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s210,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(sat_conversion,[],[f2030]) ).
cnf(s212,plain,
( ~ spl18_26
| ~ spl18_28 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s213,plain,
( ~ spl18_22
| ~ spl18_24 ),
inference(sat_conversion,[],[f2044]) ).
cnf(s215,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s220,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s223,plain,
( spl18_24
| ~ spl18_50
| ~ spl18_139 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s226,plain,
( ~ spl18_36
| ~ spl18_64
| ~ spl18_138 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s227,plain,
( spl18_2
| ~ spl18_29
| ~ spl18_133 ),
inference(sat_conversion,[],[f2122]) ).
cnf(s229,plain,
( ~ spl18_54
| ~ spl18_55 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s231,plain,
( ~ spl18_24
| ~ spl18_34
| ~ spl18_138 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s232,plain,
( ~ spl18_10
| ~ spl18_11 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s233,plain,
( ~ spl18_50
| ~ spl18_51 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s234,plain,
( spl18_3
| ~ spl18_33
| ~ spl18_138 ),
inference(sat_conversion,[],[f2147]) ).
cnf(s235,plain,
( ~ spl18_50
| ~ spl18_52 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s240,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s243,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(sat_conversion,[],[f2194]) ).
cnf(s246,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s249,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s252,plain,
( ~ spl18_42
| ~ spl18_44 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s253,plain,
( spl18_44
| ~ spl18_63
| ~ spl18_135 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s254,plain,
( ~ spl18_52
| spl18_64
| ~ spl18_139 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s255,plain,
( ~ spl18_18
| ~ spl18_19 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s257,plain,
( ~ spl18_6
| spl18_21
| ~ spl18_140 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s259,plain,
( spl18_3
| ~ spl18_37
| ~ spl18_142 ),
inference(sat_conversion,[],[f2255]) ).
cnf(s260,plain,
( spl18_4
| ~ spl18_53
| ~ spl18_143 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s261,plain,
( spl18_44
| ~ spl18_51
| ~ spl18_139 ),
inference(sat_conversion,[],[f2260]) ).
cnf(s262,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(sat_conversion,[],[f2277]) ).
cnf(s263,plain,
( ~ spl18_51
| ~ spl18_52 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s265,plain,
( ~ spl18_61
| ~ spl18_64 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s272,plain,
( spl18_43
| ~ spl18_47
| ~ spl18_134 ),
inference(sat_conversion,[],[f2317]) ).
cnf(s273,plain,
( ~ spl18_11
| ~ spl18_42
| ~ spl18_144 ),
inference(sat_conversion,[],[f2319]) ).
cnf(s281,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s283,plain,
( ~ spl18_4
| ~ spl18_61
| spl18_135 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s285,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s286,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(sat_conversion,[],[f2392]) ).
cnf(s287,plain,
( ~ spl18_49
| ~ spl18_50 ),
inference(sat_conversion,[],[f2394]) ).
cnf(s294,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(sat_conversion,[],[f2441]) ).
cnf(s298,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s299,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(sat_conversion,[],[f2517]) ).
cnf(s305,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(sat_conversion,[],[f2556]) ).
cnf(s308,plain,
( spl18_86
| ~ spl18_94
| ~ spl18_152 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s310,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s312,plain,
( spl18_67
| ~ spl18_101
| ~ spl18_161 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s313,plain,
( spl18_68
| ~ spl18_117
| ~ spl18_162 ),
inference(sat_conversion,[],[f2579]) ).
cnf(s315,plain,
( ~ spl18_112
| spl18_127
| ~ spl18_153 ),
inference(sat_conversion,[],[f2584]) ).
cnf(s317,plain,
( spl18_107
| ~ spl18_111
| ~ spl18_153 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s322,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s324,plain,
( ~ spl18_70
| ~ spl18_72 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s325,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(sat_conversion,[],[f2616]) ).
cnf(s326,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s327,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s328,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(sat_conversion,[],[f2625]) ).
cnf(s329,plain,
( ~ spl18_79
| ~ spl18_106
| ~ spl18_151 ),
inference(sat_conversion,[],[f2630]) ).
cnf(s331,plain,
( ~ spl18_82
| ~ spl18_83 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s335,plain,
( ~ spl18_85
| ~ spl18_86 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s337,plain,
( ~ spl18_70
| ~ spl18_86
| ~ spl18_159 ),
inference(sat_conversion,[],[f2658]) ).
cnf(s340,plain,
( spl18_68
| ~ spl18_121
| ~ spl18_166 ),
inference(sat_conversion,[],[f2670]) ).
cnf(s341,plain,
( ~ spl18_70
| ~ spl18_88
| ~ spl18_159 ),
inference(sat_conversion,[],[f2672]) ).
cnf(s343,plain,
( ~ spl18_75
| ~ spl18_106
| ~ spl18_163 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s345,plain,
( ~ spl18_105
| ~ spl18_106 ),
inference(sat_conversion,[],[f2687]) ).
cnf(s347,plain,
( ~ spl18_70
| ~ spl18_87
| ~ spl18_159 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s352,plain,
( ~ spl18_67
| ~ spl18_68 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s353,plain,
( ~ spl18_77
| ~ spl18_80 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s354,plain,
( ~ spl18_101
| ~ spl18_104 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s356,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(sat_conversion,[],[f2719]) ).
cnf(s358,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(sat_conversion,[],[f2729]) ).
cnf(s360,plain,
( ~ spl18_113
| ~ spl18_115 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s363,plain,
( ~ spl18_113
| ~ spl18_116 ),
inference(sat_conversion,[],[f2745]) ).
cnf(s366,plain,
( ~ spl18_73
| ~ spl18_76 ),
inference(sat_conversion,[],[f2762]) ).
cnf(s368,plain,
( ~ spl18_89
| ~ spl18_92 ),
inference(sat_conversion,[],[f2774]) ).
cnf(s371,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s373,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(sat_conversion,[],[f2788]) ).
cnf(s374,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s375,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s376,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(sat_conversion,[],[f2813]) ).
cnf(s378,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(sat_conversion,[],[f2817]) ).
cnf(s379,plain,
( ~ spl18_126
| ~ spl18_127 ),
inference(sat_conversion,[],[f2819]) ).
cnf(s382,plain,
( ~ spl18_78
| spl18_85
| ~ spl18_151 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s385,plain,
( ~ spl18_120
| spl18_128
| ~ spl18_162 ),
inference(sat_conversion,[],[f2841]) ).
cnf(s386,plain,
( ~ spl18_67
| ~ spl18_73
| ~ spl18_163 ),
inference(sat_conversion,[],[f2845]) ).
cnf(s388,plain,
( ~ spl18_71
| ~ spl18_72 ),
inference(sat_conversion,[],[f2855]) ).
cnf(s390,plain,
( ~ spl18_119
| ~ spl18_120 ),
inference(sat_conversion,[],[f2870]) ).
cnf(s391,plain,
( ~ spl18_121
| ~ spl18_124 ),
inference(sat_conversion,[],[f2872]) ).
cnf(s394,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(sat_conversion,[],[f2897]) ).
cnf(s397,plain,
( spl18_68
| ~ spl18_113
| ~ spl18_158 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s401,plain,
( ~ spl18_118
| ~ spl18_120 ),
inference(sat_conversion,[],[f2921]) ).
cnf(s402,plain,
( ~ spl18_82
| spl18_86
| ~ spl18_156 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s403,plain,
( ~ spl18_71
| ~ spl18_106
| ~ spl18_159 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s405,plain,
( spl18_88
| ~ spl18_118
| ~ spl18_162 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s406,plain,
( ~ spl18_97
| ~ spl18_100 ),
inference(sat_conversion,[],[f2944]) ).
cnf(s409,plain,
( ~ spl18_78
| ~ spl18_80 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s411,plain,
( ~ spl18_91
| ~ spl18_92 ),
inference(sat_conversion,[],[f2970]) ).
cnf(s413,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(sat_conversion,[],[f2978]) ).
cnf(s414,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(sat_conversion,[],[f2984]) ).
cnf(s415,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(sat_conversion,[],[f2986]) ).
cnf(s416,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(sat_conversion,[],[f2998]) ).
cnf(s417,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s419,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(sat_conversion,[],[f3009]) ).
cnf(s420,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s421,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(sat_conversion,[],[f3026]) ).
cnf(s423,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(sat_conversion,[],[f3040]) ).
cnf(s428,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(sat_conversion,[],[f3073]) ).
cnf(s429,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(sat_conversion,[],[f3075]) ).
cnf(s431,plain,
( ~ spl18_103
| ~ spl18_104 ),
inference(sat_conversion,[],[f3084]) ).
cnf(s433,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s434,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(sat_conversion,[],[f3111]) ).
cnf(s435,plain,
( ~ spl18_74
| ~ spl18_75 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s436,plain,
( ~ spl18_80
| ~ spl18_127
| ~ spl18_151 ),
inference(sat_conversion,[],[f3125]) ).
cnf(s437,plain,
( ~ spl18_93
| ~ spl18_95 ),
inference(sat_conversion,[],[f3127]) ).
cnf(s439,plain,
( ~ spl18_95
| ~ spl18_106
| spl18_152 ),
inference(sat_conversion,[],[f3131]) ).
cnf(s442,plain,
( ~ spl18_69
| ~ spl18_70 ),
inference(sat_conversion,[],[f3153]) ).
cnf(s444,plain,
( ~ spl18_69
| ~ spl18_72 ),
inference(sat_conversion,[],[f3164]) ).
cnf(s445,plain,
( ~ spl18_117
| ~ spl18_118 ),
inference(sat_conversion,[],[f3174]) ).
cnf(s446,plain,
( ~ spl18_68
| ~ spl18_97
| ~ spl18_157 ),
inference(sat_conversion,[],[f3178]) ).
cnf(s447,plain,
( ~ spl18_65
| ~ spl18_68 ),
inference(sat_conversion,[],[f3191]) ).
cnf(s449,plain,
( ~ spl18_117
| ~ spl18_120 ),
inference(sat_conversion,[],[f3197]) ).
cnf(s451,plain,
( ~ spl18_99
| spl18_107
| ~ spl18_157 ),
inference(sat_conversion,[],[f3206]) ).
cnf(s453,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s454,plain,
( ~ spl18_111
| ~ spl18_112 ),
inference(sat_conversion,[],[f3215]) ).
cnf(s457,plain,
( ~ spl18_87
| ~ spl18_88 ),
inference(sat_conversion,[],[f3233]) ).
cnf(s458,plain,
( spl18_88
| ~ spl18_114
| ~ spl18_158 ),
inference(sat_conversion,[],[f3235]) ).
cnf(s459,plain,
( ~ spl18_66
| ~ spl18_68 ),
inference(sat_conversion,[],[f3252]) ).
cnf(s461,plain,
( ~ spl18_68
| ~ spl18_69
| ~ spl18_159 ),
inference(sat_conversion,[],[f3259]) ).
cnf(s465,plain,
( ~ spl18_109
| ~ spl18_111 ),
inference(sat_conversion,[],[f3292]) ).
cnf(s467,plain,
( ~ spl18_88
| ~ spl18_98
| ~ spl18_157 ),
inference(sat_conversion,[],[f3300]) ).
cnf(s468,plain,
( ~ spl18_100
| spl18_127
| ~ spl18_157 ),
inference(sat_conversion,[],[f3303]) ).
cnf(s470,plain,
( ~ spl18_109
| ~ spl18_112 ),
inference(sat_conversion,[],[f3324]) ).
cnf(s472,plain,
( ~ spl18_86
| ~ spl18_88 ),
inference(sat_conversion,[],[f3347]) ).
cnf(s475,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(sat_conversion,[],[f3376]) ).
cnf(s476,plain,
( ~ spl18_68
| ~ spl18_73
| ~ spl18_163 ),
inference(sat_conversion,[],[f3378]) ).
cnf(s477,plain,
( ~ spl18_79
| ~ spl18_80 ),
inference(sat_conversion,[],[f3380]) ).
cnf(s479,plain,
( ~ spl18_92
| ~ spl18_128
| ~ spl18_164 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s483,plain,
( ~ spl18_125
| ~ spl18_128 ),
inference(sat_conversion,[],[f3422]) ).
cnf(s484,plain,
( ~ spl18_73
| ~ spl18_75 ),
inference(sat_conversion,[],[f3430]) ).
cnf(s489,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(sat_conversion,[],[f3485]) ).
cnf(s491,plain,
( ~ spl18_116
| spl18_128
| ~ spl18_158 ),
inference(sat_conversion,[],[f3489]) ).
cnf(s493,plain,
( spl18_87
| ~ spl18_98
| ~ spl18_157 ),
inference(sat_conversion,[],[f3509]) ).
cnf(s496,plain,
( ~ spl18_95
| ~ spl18_96 ),
inference(sat_conversion,[],[f3515]) ).
cnf(s497,plain,
( ~ spl18_115
| ~ spl18_116 ),
inference(sat_conversion,[],[f3517]) ).
cnf(s499,plain,
( spl18_87
| ~ spl18_102
| ~ spl18_161 ),
inference(sat_conversion,[],[f3528]) ).
cnf(s500,plain,
( ~ spl18_94
| ~ spl18_96 ),
inference(sat_conversion,[],[f3558]) ).
cnf(s501,plain,
( ~ spl18_114
| ~ spl18_116 ),
inference(sat_conversion,[],[f3560]) ).
cnf(s510,plain,
( ~ spl18_92
| ~ spl18_126
| spl18_164 ),
inference(sat_conversion,[],[f3610]) ).
cnf(s511,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(sat_conversion,[],[f3618]) ).
cnf(s513,plain,
( ~ spl18_99
| ~ spl18_100 ),
inference(sat_conversion,[],[f3643]) ).
cnf(s518,plain,
( ~ spl18_106
| spl18_197 ),
inference(sat_conversion,[],[f3673]) ).
cnf(s520,plain,
( ~ spl18_39
| ~ spl18_103
| ~ spl18_197
| spl18_283 ),
inference(sat_conversion,[],[f3679]) ).
cnf(s521,plain,
( ~ spl18_128
| spl18_270 ),
inference(sat_conversion,[],[f3690]) ).
cnf(s523,plain,
( spl18_28
| ~ spl18_42 ),
inference(sat_conversion,[],[f3700]) ).
cnf(s525,plain,
( ~ spl18_25
| ~ spl18_28 ),
inference(sat_conversion,[],[f3706]) ).
cnf(s526,plain,
( ~ spl18_9
| ~ spl18_11 ),
inference(sat_conversion,[],[f3716]) ).
cnf(s529,plain,
( ~ spl18_27
| ~ spl18_28 ),
inference(sat_conversion,[],[f3722]) ).
cnf(s530,plain,
( ~ spl18_59
| ~ spl18_60 ),
inference(sat_conversion,[],[f3737]) ).
cnf(s534,plain,
( ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(sat_conversion,[],[f3747]) ).
cnf(s535,plain,
( ~ spl18_62
| ~ spl18_63 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s538,plain,
( spl18_44
| ~ spl18_59
| ~ spl18_147 ),
inference(sat_conversion,[],[f3762]) ).
cnf(s539,plain,
( ~ spl18_14
| spl18_21
| ~ spl18_132 ),
inference(sat_conversion,[],[f3763]) ).
cnf(s545,plain,
( ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(sat_conversion,[],[f3792]) ).
cnf(s547,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(sat_conversion,[],[f3804]) ).
cnf(s548,plain,
( ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(sat_conversion,[],[f3820]) ).
cnf(s549,plain,
( ~ spl18_3
| ~ spl18_67
| ~ spl18_192
| spl18_273 ),
inference(sat_conversion,[],[f3822]) ).
cnf(s551,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s552,plain,
( ~ spl18_57
| ~ spl18_59 ),
inference(sat_conversion,[],[f3852]) ).
cnf(s555,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(sat_conversion,[],[f3866]) ).
cnf(s556,plain,
( ~ spl18_8
| ~ spl18_72
| ~ spl18_192
| ~ spl18_197
| spl18_274 ),
inference(sat_conversion,[],[f3876]) ).
cnf(s557,plain,
( ~ spl18_21
| ~ spl18_22 ),
inference(sat_conversion,[],[f3893]) ).
cnf(s560,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(sat_conversion,[],[f3914]) ).
cnf(s562,plain,
( ~ spl18_53
| ~ spl18_54 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s567,plain,
( ~ spl18_67
| ~ spl18_160
| ~ spl18_181 ),
inference(sat_conversion,[],[f4148]) ).
cnf(s568,plain,
( spl18_87
| ~ spl18_165
| ~ spl18_197 ),
inference(sat_conversion,[],[f4153]) ).
cnf(s569,plain,
( ~ spl18_21
| ~ spl18_85
| ~ spl18_192
| ~ spl18_197
| spl18_276 ),
inference(sat_conversion,[],[f4161]) ).
cnf(s570,plain,
( ~ spl18_18
| ~ spl18_82
| ~ spl18_192
| ~ spl18_197
| spl18_275 ),
inference(sat_conversion,[],[f4170]) ).
cnf(s571,plain,
( ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(sat_conversion,[],[f4177]) ).
cnf(s572,plain,
( ~ spl18_59
| ~ spl18_123
| spl18_277 ),
inference(sat_conversion,[],[f4184]) ).
cnf(s573,plain,
( ~ spl18_49
| ~ spl18_113
| ~ spl18_192
| spl18_280 ),
inference(sat_conversion,[],[f4191]) ).
cnf(s574,plain,
( ~ spl18_54
| ~ spl18_118
| ~ spl18_197
| spl18_279 ),
inference(sat_conversion,[],[f4199]) ).
cnf(s575,plain,
( ~ spl18_42
| spl18_282 ),
inference(sat_conversion,[],[f4203]) ).
cnf(s576,plain,
( ~ spl18_45
| ~ spl18_109
| ~ spl18_192
| spl18_281 ),
inference(sat_conversion,[],[f4209]) ).
cnf(s577,plain,
( ~ spl18_31
| ~ spl18_95
| ~ spl18_197
| spl18_285 ),
inference(sat_conversion,[],[f4216]) ).
cnf(s579,plain,
( ~ spl18_14
| ~ spl18_78
| ~ spl18_192
| ~ spl18_197
| spl18_287 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s580,plain,
( ~ spl18_28
| ~ spl18_92
| ~ spl18_197
| spl18_286 ),
inference(sat_conversion,[],[f4240]) ).
cnf(s581,plain,
( ~ spl18_9
| ~ spl18_73
| ~ spl18_192
| spl18_288 ),
inference(sat_conversion,[],[f4248]) ).
cnf(s587,plain,
( ~ spl18_42
| ~ spl18_46 ),
inference(sat_conversion,[],[f4303]) ).
cnf(s593,plain,
( ~ spl18_4
| ~ spl18_21
| ~ spl18_141 ),
inference(sat_conversion,[],[f4338]) ).
cnf(s597,plain,
( ~ spl18_8
| ~ spl18_40 ),
inference(sat_conversion,[],[f4349]) ).
cnf(s600,plain,
( ~ spl18_48
| spl18_63
| ~ spl18_134 ),
inference(sat_conversion,[],[f4362]) ).
cnf(s603,plain,
( ~ spl18_8
| spl18_61
| ~ spl18_140 ),
inference(sat_conversion,[],[f4409]) ).
cnf(s604,plain,
( ~ spl18_39
| spl18_43
| ~ spl18_142 ),
inference(sat_conversion,[],[f4410]) ).
cnf(s605,plain,
( spl18_24
| ~ spl18_54
| ~ spl18_143 ),
inference(sat_conversion,[],[f4411]) ).
cnf(s614,plain,
( ~ spl18_9
| ~ spl18_13 ),
inference(sat_conversion,[],[f4439]) ).
cnf(s619,plain,
( spl18_4
| ~ spl18_49
| ~ spl18_139 ),
inference(sat_conversion,[],[f4503]) ).
cnf(s620,plain,
( ~ spl18_64
| spl18_135 ),
inference(sat_conversion,[],[f4510]) ).
cnf(s634,plain,
( ~ spl18_23
| ~ spl18_34
| spl18_138 ),
inference(sat_conversion,[],[f4591]) ).
cnf(s635,plain,
( ~ spl18_56
| spl18_64
| ~ spl18_143 ),
inference(sat_conversion,[],[f4594]) ).
cnf(s636,plain,
( ~ spl18_7
| ~ spl18_42
| ~ spl18_140 ),
inference(sat_conversion,[],[f4611]) ).
cnf(s650,plain,
( spl18_44
| ~ spl18_55
| ~ spl18_143 ),
inference(sat_conversion,[],[f4687]) ).
cnf(s655,plain,
( ~ spl18_49
| ~ spl18_61 ),
inference(sat_conversion,[],[f4704]) ).
cnf(s656,plain,
( spl18_23
| ~ spl18_34
| ~ spl18_138 ),
inference(sat_conversion,[],[f4710]) ).
cnf(s660,plain,
( ~ spl18_4
| spl18_61
| ~ spl18_136 ),
inference(sat_conversion,[],[f4751]) ).
cnf(s664,plain,
( ~ spl18_42
| ~ spl18_58 ),
inference(sat_conversion,[],[f4794]) ).
cnf(s666,plain,
( spl18_1
| ~ spl18_5
| ~ spl18_140 ),
inference(sat_conversion,[],[f4827]) ).
cnf(s672,plain,
( ~ spl18_3
| ~ spl18_35 ),
inference(sat_conversion,[],[f4868]) ).
cnf(s673,plain,
( ~ spl18_3
| ~ spl18_7 ),
inference(sat_conversion,[],[f4869]) ).
cnf(s674,plain,
( ~ spl18_3
| ~ spl18_51 ),
inference(sat_conversion,[],[f4870]) ).
cnf(s675,plain,
( ~ spl18_3
| ~ spl18_11 ),
inference(sat_conversion,[],[f4871]) ).
cnf(s676,plain,
( ~ spl18_3
| ~ spl18_15 ),
inference(sat_conversion,[],[f4872]) ).
cnf(s679,plain,
( ~ spl18_8
| ~ spl18_16 ),
inference(sat_conversion,[],[f4873]) ).
cnf(s680,plain,
( ~ spl18_8
| ~ spl18_56 ),
inference(sat_conversion,[],[f4874]) ).
cnf(s684,plain,
( ~ spl18_18
| ~ spl18_30 ),
inference(sat_conversion,[],[f4884]) ).
cnf(s686,plain,
( ~ spl18_18
| ~ spl18_50 ),
inference(sat_conversion,[],[f4887]) ).
cnf(s688,plain,
( ~ spl18_36
| ~ spl18_100
| ~ spl18_192
| spl18_284 ),
inference(sat_conversion,[],[f4893]) ).
cnf(s690,plain,
( ~ spl18_36
| ~ spl18_52 ),
inference(sat_conversion,[],[f4894]) ).
cnf(s696,plain,
( spl18_92
| ~ spl18_106 ),
inference(sat_conversion,[],[f4947]) ).
cnf(s703,plain,
( ~ spl18_84
| ~ spl18_92 ),
inference(sat_conversion,[],[f5139]) ).
cnf(s745,plain,
( ~ spl18_66
| ~ spl18_93
| spl18_152 ),
inference(sat_conversion,[],[f5237]) ).
cnf(s756,plain,
( ~ spl18_66
| ~ spl18_73
| ~ spl18_163 ),
inference(sat_conversion,[],[f5267]) ).
cnf(s758,plain,
( ~ spl18_104
| spl18_127
| ~ spl18_161 ),
inference(sat_conversion,[],[f5279]) ).
cnf(s770,plain,
( ~ spl18_66
| ~ spl18_69
| ~ spl18_159 ),
inference(sat_conversion,[],[f5383]) ).
cnf(s773,plain,
( ~ spl18_67
| ~ spl18_71 ),
inference(sat_conversion,[],[f5414]) ).
cnf(s774,plain,
( ~ spl18_67
| ~ spl18_75 ),
inference(sat_conversion,[],[f5415]) ).
cnf(s775,plain,
( ~ spl18_67
| ~ spl18_83 ),
inference(sat_conversion,[],[f5418]) ).
cnf(s776,plain,
( ~ spl18_67
| ~ spl18_99 ),
inference(sat_conversion,[],[f5419]) ).
cnf(s777,plain,
( ~ spl18_73
| ~ spl18_121 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s778,plain,
( ~ spl18_95
| ~ spl18_111 ),
inference(sat_conversion,[],[f5427]) ).
cnf(s781,plain,
( ~ spl18_90
| ~ spl18_92 ),
inference(sat_conversion,[],[f5494]) ).
cnf(s785,plain,
( ~ spl18_80
| ~ spl18_126
| ~ spl18_151 ),
inference(sat_conversion,[],[f5523]) ).
cnf(s786,plain,
( ~ spl18_67
| ~ spl18_81
| ~ spl18_156 ),
inference(sat_conversion,[],[f5528]) ).
cnf(s791,plain,
( ~ spl18_82
| ~ spl18_98 ),
inference(sat_conversion,[],[f5533]) ).
cnf(s792,plain,
( ~ spl18_82
| ~ spl18_114 ),
inference(sat_conversion,[],[f5534]) ).
cnf(s793,plain,
( ~ spl18_85
| spl18_181 ),
inference(sat_conversion,[],[f5535]) ).
cnf(s795,plain,
( ~ spl18_85
| ~ spl18_117 ),
inference(sat_conversion,[],[f5536]) ).
cnf(s803,plain,
( ~ spl18_106
| ~ spl18_110 ),
inference(sat_conversion,[],[f5586]) ).
cnf(s805,plain,
( ~ spl18_68
| ~ spl18_160
| ~ spl18_181 ),
inference(sat_conversion,[],[f5608]) ).
cnf(s808,plain,
~ spl18_191,
inference(rat,[],[s149,s167]) ).
cnf(s809,plain,
~ spl18_110,
inference(rat,[],[s803,s130]) ).
cnf(s810,plain,
spl18_92,
inference(rat,[],[s696,s130]) ).
cnf(s811,plain,
spl18_197,
inference(rat,[],[s518,s130]) ).
cnf(s812,plain,
~ spl18_107,
inference(rat,[],[s419,s130]) ).
cnf(s813,plain,
~ spl18_105,
inference(rat,[],[s345,s130]) ).
cnf(s814,plain,
~ spl18_90,
inference(rat,[],[s781,s810]) ).
cnf(s815,plain,
~ spl18_84,
inference(rat,[],[s703,s810]) ).
cnf(s816,plain,
~ spl18_91,
inference(rat,[],[s411,s810]) ).
cnf(s817,plain,
~ spl18_89,
inference(rat,[],[s368,s810]) ).
cnf(s818,plain,
~ spl18_195,
inference(rat,[],[s153,s811]) ).
cnf(s820,plain,
~ spl18_58,
inference(rat,[],[s664,s129]) ).
cnf(s821,plain,
~ spl18_46,
inference(rat,[],[s587,s129]) ).
cnf(s822,plain,
spl18_282,
inference(rat,[],[s575,s129]) ).
cnf(s823,plain,
spl18_28,
inference(rat,[],[s523,s129]) ).
cnf(s824,plain,
~ spl18_44,
inference(rat,[],[s252,s129]) ).
cnf(s825,plain,
~ spl18_41,
inference(rat,[],[s249,s129]) ).
cnf(s826,plain,
~ spl18_43,
inference(rat,[],[s246,s129]) ).
cnf(s827,plain,
spl18_286,
inference(rat,[],[s580,s810,s811,s823]) ).
cnf(s828,plain,
~ spl18_27,
inference(rat,[],[s529,s823]) ).
cnf(s829,plain,
~ spl18_25,
inference(rat,[],[s525,s823]) ).
cnf(s830,plain,
~ spl18_26,
inference(rat,[],[s212,s823]) ).
cnf(s831,plain,
( spl18_78
| spl18_94
| spl18_126 ),
inference(rat,[],[s91,s809]) ).
cnf(s832,plain,
( spl18_99
| spl18_103
| spl18_111 ),
inference(rat,[],[s86,s812]) ).
cnf(s833,plain,
( spl18_75
| spl18_123 ),
inference(rat,[],[s85,s812,s816]) ).
cnf(s834,plain,
( spl18_97
| spl18_101
| spl18_109 ),
inference(rat,[],[s82,s813]) ).
cnf(s835,plain,
( spl18_73
| spl18_121 ),
inference(rat,[],[s81,s813,s817]) ).
cnf(s836,plain,
( spl18_83
| spl18_87
| spl18_95 ),
inference(rat,[],[s78,s816]) ).
cnf(s837,plain,
( spl18_82
| spl18_86
| spl18_94 ),
inference(rat,[],[s76,s814]) ).
cnf(s838,plain,
( spl18_81
| spl18_85
| spl18_93 ),
inference(rat,[],[s74,s817]) ).
cnf(s839,plain,
( spl18_68
| spl18_100
| spl18_116 ),
inference(rat,[],[s71,s815]) ).
cnf(s840,plain,
( spl18_109
| spl18_111
| spl18_112 ),
inference(rat,[],[s60,s809]) ).
cnf(s841,plain,
( spl18_81
| spl18_82
| spl18_83 ),
inference(rat,[],[s53,s815]) ).
cnf(s842,plain,
( spl18_50
| spl18_54
| spl18_62 ),
inference(rat,[],[s44,s820]) ).
cnf(s843,plain,
( spl18_14
| spl18_30
| spl18_62 ),
inference(rat,[],[s43,s821]) ).
cnf(s844,plain,
( spl18_36
| spl18_40
| spl18_48 ),
inference(rat,[],[s40,s824]) ).
cnf(s845,plain,
( spl18_35
| spl18_39
| spl18_47 ),
inference(rat,[],[s38,s826]) ).
cnf(s846,plain,
( spl18_11
| spl18_59 ),
inference(rat,[],[s37,s826,s828]) ).
cnf(s848,plain,
( spl18_9
| spl18_57 ),
inference(rat,[],[s33,s825,s829]) ).
cnf(s849,plain,
( spl18_19
| spl18_23
| spl18_31 ),
inference(rat,[],[s30,s828]) ).
cnf(s850,plain,
( spl18_18
| spl18_22
| spl18_30 ),
inference(rat,[],[s28,s830]) ).
cnf(s851,plain,
( spl18_17
| spl18_21
| spl18_29 ),
inference(rat,[],[s26,s829]) ).
cnf(s853,plain,
( spl18_45
| spl18_47
| spl18_48 ),
inference(rat,[],[s12,s821]) ).
cnf(s854,plain,
( spl18_9
| spl18_6
| spl18_5
| spl18_2
| spl18_1 ),
inference(rat,[],[s232,s20,s846,s286,s552,s18,s848]) ).
cnf(s855,plain,
( ~ spl18_29
| spl18_19
| spl18_18 ),
inference(rat,[],[s196,s849,s850,s240,s299]) ).
cnf(s857,plain,
( ~ spl18_29
| spl18_18
| spl18_14
| ~ spl18_8
| spl18_131
| ~ spl18_4 ),
inference(rat,[],[s99,s105,s101,s600,s603,s660,s47,s283,s620,s193,s213,s535,s850,s843,s294,s299,s679]) ).
cnf(s858,plain,
( spl18_18
| spl18_17
| spl18_14
| spl18_132
| ~ spl18_8
| spl18_131
| ~ spl18_4
| spl18_2 ),
inference(rat,[],[s19,s656,s223,s103,s104,s97,s106,s534,s220,s593,s851,s857,s129]) ).
cnf(s859,plain,
( ~ spl18_29
| ~ spl18_62
| spl18_19
| ~ spl18_8
| spl18_131
| ~ spl18_4 ),
inference(rat,[],[s99,s105,s101,s600,s603,s660,s47,s283,s620,s193,s262,s849,s240,s294,s679,s535]) ).
cnf(s860,plain,
( spl18_17
| spl18_14
| spl18_2
| spl18_132
| ~ spl18_8
| spl18_131
| ~ spl18_4 ),
inference(rat,[],[s660,s101,s283,s97,s193,s106,s220,s593,s851,s859,s843,s255,s684,s858]) ).
cnf(s861,plain,
( spl18_135
| spl18_29
| spl18_40
| spl18_56
| ~ spl18_9
| ~ spl18_4 ),
inference(rat,[],[s844,s281,s690,s41,s48,s283,s620,s614,s530,s846,s526]) ).
cnf(s862,plain,
( spl18_30
| ~ spl18_135
| spl18_18
| spl18_14 ),
inference(rat,[],[s213,s193,s850,s843]) ).
cnf(s863,plain,
( spl18_61
| spl18_29
| ~ spl18_8
| spl18_131
| spl18_13
| ~ spl18_4
| spl18_3 ),
inference(rat,[],[s99,s184,s105,s101,s41,s603,s660]) ).
cnf(s864,plain,
( spl18_7
| spl18_131
| ~ spl18_9
| spl18_6
| spl18_5
| ~ spl18_4
| spl18_3
| spl18_2 ),
inference(rat,[],[s634,s207,s19,s21,s235,s263,s48,s265,s863,s849,s210,s862,s861,s855,s209,s215,s860,s204,s205,s22,s597,s680,s2,s614,s530,s846,s526,s826,s129]) ).
cnf(s865,plain,
( ~ spl18_129
| spl18_19
| spl18_3 ),
inference(rat,[],[s21,s207,s261,s103,s104,s826,s824]) ).
cnf(s866,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_3 ),
inference(rat,[],[s600,s853,s253,s184,s272,s100,s99,s824,s826]) ).
cnf(s867,plain,
( ~ spl18_129
| ~ spl18_4
| spl18_3
| spl18_1 ),
inference(rat,[],[s655,s17,s215,s660,s234,s865,s101,s103]) ).
cnf(s868,plain,
( spl18_131
| spl18_5
| spl18_3
| spl18_2
| spl18_1 ),
inference(rat,[],[s854,s864,s257,s636,s593,s105,s106,s866,s867,s1,s129]) ).
cnf(s869,plain,
~ spl18_131,
inference(rat,[],[s846,s273,s538,s109,s112,s129,s824]) ).
cnf(s870,plain,
( spl18_3
| spl18_2
| spl18_1 ),
inference(rat,[],[s666,s105,s868,s866,s867,s1,s869]) ).
cnf(s871,plain,
( spl18_130
| spl18_18
| ~ spl18_3 ),
inference(rat,[],[s557,s539,s850,s4,s210,s206,s45,s185,s253,s272,s100,s97,s99,s676,s555,s101,s548,s614,s848,s552,s846,s675,s824,s826,s869,s129]) ).
cnf(s872,plain,
( ~ spl18_130
| ~ spl18_3
| spl18_1 ),
inference(rat,[],[s243,s25,s666,s27,s605,s196,s262,s29,s257,s545,s604,s260,s650,s105,s106,s107,s108,s673,s555,s826,s824]) ).
cnf(s873,plain,
( spl18_73
| spl18_70
| spl18_69
| spl18_66
| spl18_65 ),
inference(rat,[],[s435,s68,s833,s434,s378,s66,s835]) ).
cnf(s874,plain,
( ~ spl18_109
| spl18_96
| spl18_95
| ~ spl18_78 ),
inference(rat,[],[s428,s93,s95,s465,s470,s327,s409]) ).
cnf(s875,plain,
( spl18_85
| spl18_82
| spl18_81
| spl18_149
| spl18_72
| ~ spl18_78
| spl18_150
| spl18_70
| ~ spl18_68
| spl18_66
| spl18_65 ),
inference(rat,[],[s401,s79,s75,s354,s415,s834,s874,s500,s837,s375,s467,s493,s67,s356,s65,s446,s119,s437,s113,s838,s382]) ).
cnf(s876,plain,
( spl18_82
| spl18_81
| spl18_65
| spl18_149
| spl18_72
| ~ spl18_78
| spl18_150
| spl18_70
| ~ spl18_68
| spl18_66 ),
inference(rat,[],[s67,s493,s458,s119,s120,s114,s308,s837,s335,s376,s489,s875]) ).
cnf(s877,plain,
( spl18_85
| ~ spl18_82
| spl18_81
| spl18_149
| ~ spl18_78
| spl18_150 ),
inference(rat,[],[s374,s402,s836,s118,s437,s113,s838,s382,s331]) ).
cnf(s878,plain,
( spl18_81
| spl18_149
| spl18_72
| ~ spl18_78
| spl18_150
| spl18_70
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s420,s315,s89,s840,s187,s115,s118,s437,s778,s402,s836,s335,s489,s877,s331,s876,s49,s434]) ).
cnf(s879,plain,
( spl18_86
| spl18_97
| spl18_82
| spl18_83
| spl18_72
| ~ spl18_78
| spl18_70 ),
inference(rat,[],[s401,s79,s75,s354,s415,s834,s457,s874,s836,s439,s308,s500,s837,s130]) ).
cnf(s880,plain,
( ~ spl18_148
| spl18_82
| spl18_83
| spl18_72
| ~ spl18_78
| spl18_70
| ~ spl18_68
| spl18_66 ),
inference(rat,[],[s67,s493,s458,s375,s472,s879,s446,s119,s120]) ).
cnf(s881,plain,
( spl18_70
| spl18_69
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s420,s315,s89,s840,s186,s187,s317,s114,s115,s880,s371,s453,s878,s121,s388,s403,s70,s434,s327,s68,s125,s475,s476,s484,s873,s49,s812,s130]) ).
cnf(s882,plain,
( ~ spl18_109
| spl18_96
| spl18_88
| spl18_114
| spl18_99
| spl18_80
| spl18_122
| spl18_72 ),
inference(rat,[],[s401,s92,s79,s510,s431,s479,s832,s95,s465,s470,s810]) ).
cnf(s883,plain,
( ~ spl18_157
| spl18_82
| spl18_81
| spl18_80
| spl18_122
| spl18_72
| ~ spl18_68
| spl18_66
| spl18_65 ),
inference(rat,[],[s510,s479,s92,s95,s401,s454,s79,s832,s354,s417,s834,s882,s500,s837,s375,s467,s493,s67,s356,s65,s446,s451,s810,s812]) ).
cnf(s884,plain,
( ~ spl18_149
| ~ spl18_70
| ~ spl18_68 ),
inference(rat,[],[s54,s793,s337,s347,s341,s805,s121,s122]) ).
cnf(s885,plain,
( spl18_81
| ~ spl18_157
| spl18_80
| spl18_122
| spl18_72
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s69,s360,s331,s65,s883,s451,s446,s49,s812]) ).
cnf(s886,plain,
( spl18_86
| spl18_113
| spl18_82
| spl18_83
| spl18_97
| spl18_99
| ~ spl18_158
| spl18_80
| spl18_122
| spl18_121
| spl18_72 ),
inference(rat,[],[s483,s90,s95,s449,s454,s79,s832,s354,s417,s834,s882,s458,s457,s836,s439,s308,s500,s837,s130]) ).
cnf(s887,plain,
( ~ spl18_73
| ~ spl18_70
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s67,s493,s458,s375,s472,s886,s360,s69,s371,s453,s885,s446,s451,s119,s120,s113,s329,s477,s511,s125,s70,s833,s476,s484,s777,s324,s322,s884,s49,s812,s130]) ).
cnf(s888,plain,
( spl18_86
| spl18_82
| spl18_83
| spl18_97
| spl18_99
| ~ spl18_158
| spl18_80
| spl18_122
| spl18_72 ),
inference(rat,[],[s510,s479,s92,s95,s401,s454,s79,s832,s354,s417,s834,s882,s458,s457,s836,s439,s308,s500,s837,s810,s130]) ).
cnf(s889,plain,
( ~ spl18_148
| spl18_69
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s67,s493,s458,s375,s472,s888,s371,s453,s885,s446,s451,s119,s120,s49,s324,s373,s835,s353,s66,s887,s881,s812]) ).
cnf(s891,plain,
( ~ spl18_101
| spl18_87
| spl18_88
| spl18_71
| spl18_72 ),
inference(rat,[],[s390,s79,s77,s354,s417]) ).
cnf(s892,plain,
( spl18_69
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s501,s96,s67,s449,s413,s73,s834,s891,s371,s838,s335,s375,s472,s308,s831,s379,s429,s315,s840,s186,s187,s317,s114,s115,s889,s125,s343,s833,s434,s378,s391,s66,s835,s887,s884,s322,s324,s881,s49,s812,s130]) ).
cnf(s893,plain,
~ spl18_74,
inference(rat,[],[s378,s833,s835,s435,s475]) ).
cnf(s894,plain,
( ~ spl18_86
| spl18_148
| ~ spl18_78
| spl18_149 ),
inference(rat,[],[s113,s127,s382,s568,s335,s375,s811]) ).
cnf(s895,plain,
( spl18_150
| spl18_148
| spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s837,s371,s308,s878,s114,s444,s894,s68,s442,s121,s461,s892,s49,s893]) ).
cnf(s896,plain,
( ~ spl18_163
| ~ spl18_68 ),
inference(rat,[],[s378,s835,s833,s476,s343,s130]) ).
cnf(s897,plain,
( spl18_67
| spl18_66
| spl18_65 ),
inference(rat,[],[s880,s371,s453,s895,s878,s125,s896,s68,s121,s442,s444,s461,s892,s49,s893]) ).
cnf(s898,plain,
( ~ spl18_86
| ~ spl18_70
| ~ spl18_67 ),
inference(rat,[],[s79,s431,s449,s832,s73,s778,s891,s836,s335,s375,s472,s776,s775,s773,s442,s324]) ).
cnf(s899,plain,
( ~ spl18_95
| ~ spl18_70
| spl18_148
| ~ spl18_67 ),
inference(rat,[],[s567,s793,s122,s838,s113,s371,s785,s837,s831,s308,s437,s439,s125,s386,s409,s72,s324,s352,s366,s835,s378,s833,s774,s898,s130]) ).
cnf(s900,plain,
( ~ spl18_70
| spl18_148
| ~ spl18_67 ),
inference(rat,[],[s831,s308,s785,s114,s113,s121,s347,s836,s899,s898,s409,s72,s324,s775,s352,s366,s125,s386,s835,s378,s833,s774]) ).
cnf(s901,plain,
( ~ spl18_86
| ~ spl18_78
| spl18_148
| ~ spl18_67 ),
inference(rat,[],[s416,s73,s832,s313,s778,s124,s836,s894,s335,s375,s776,s775,s444,s72,s409,s352,s366,s835,s378,s833,s774]) ).
cnf(s902,plain,
( spl18_97
| ~ spl18_276
| ~ spl18_279
| spl18_81
| ~ spl18_275
| spl18_98
| spl18_101
| ~ spl18_283
| spl18_96
| ~ spl18_285
| ~ spl18_274
| spl18_80
| ~ spl18_287
| ~ spl18_288
| ~ spl18_277
| ~ spl18_273
| spl18_99
| spl18_65
| ~ spl18_49
| ~ spl18_64
| ~ spl18_36
| ~ spl18_45 ),
inference(rat,[],[s521,s571,s95,s183,s688,s470,s576,s573,s57,s834,s65,s170,s808,s818,s822,s827,s167]) ).
cnf(s903,plain,
( ~ spl18_95
| spl18_86
| ~ spl18_274
| spl18_80
| ~ spl18_287
| spl18_148
| ~ spl18_288
| ~ spl18_277
| ~ spl18_273
| ~ spl18_67
| spl18_65
| ~ spl18_49
| ~ spl18_54
| ~ spl18_64
| ~ spl18_36
| ~ spl18_45
| ~ spl18_21
| ~ spl18_31
| ~ spl18_39
| ~ spl18_18 ),
inference(rat,[],[s315,s95,s421,s483,s90,s363,s839,s406,s902,s115,s122,s567,s569,s793,s838,s445,s574,s371,s570,s791,s75,s837,s417,s423,s520,s308,s832,s437,s439,s496,s577,s778,s776,s352,s125,s386,s835,s378,s833,s774,s900,s167,s811,s130]) ).
cnf(s904,plain,
( spl18_148
| ~ spl18_288
| ~ spl18_277
| ~ spl18_273
| spl18_66
| spl18_65
| ~ spl18_49
| ~ spl18_54
| ~ spl18_64
| ~ spl18_36
| ~ spl18_14
| ~ spl18_8
| ~ spl18_45
| ~ spl18_21
| ~ spl18_31
| ~ spl18_39
| ~ spl18_18 ),
inference(rat,[],[s414,s75,s73,s405,s313,s124,s113,s382,s457,s489,s836,s903,s901,s556,s444,s72,s409,s579,s68,s900,s775,s352,s366,s125,s386,s835,s378,s833,s774,s897,s167,s811,s893]) ).
cnf(s905,plain,
( spl18_66
| spl18_65
| ~ spl18_54
| ~ spl18_64
| ~ spl18_36
| ~ spl18_14
| ~ spl18_8
| ~ spl18_45
| ~ spl18_21
| ~ spl18_31
| ~ spl18_39
| ~ spl18_18
| ~ spl18_3 ),
inference(rat,[],[s437,s838,s836,s335,s375,s402,s841,s786,s118,s904,s581,s835,s572,s378,s833,s549,s774,s775,s897,s848,s552,s846,s675,s13,s690,s674,s686,s167]) ).
cnf(s908,plain,
( ~ spl18_83
| spl18_87
| spl18_86
| spl18_70
| spl18_148
| ~ spl18_66 ),
inference(rat,[],[s75,s499,s405,s376,s123,s124,s838,s114,s745,s308,s837,s331,s453,s127,s568,s811]) ).
cnf(s909,plain,
( ~ spl18_153
| spl18_94
| spl18_93
| spl18_111
| spl18_67 ),
inference(rat,[],[s433,s831,s89,s379,s421,s315,s840,s187]) ).
cnf(s910,plain,
( spl18_87
| spl18_86
| spl18_70
| spl18_148
| ~ spl18_66 ),
inference(rat,[],[s75,s499,s405,s123,s124,s115,s909,s376,s838,s371,s837,s308,s437,s439,s778,s836,s908,s127,s568,s394,s130,s811]) ).
cnf(s911,plain,
( spl18_150
| spl18_149
| spl18_85
| spl18_86
| spl18_148
| spl18_67 ),
inference(rat,[],[s315,s379,s840,s831,s308,s187,s317,s382,s114,s115,s113,s812]) ).
cnf(s912,plain,
( ~ spl18_150
| ~ spl18_66 ),
inference(rat,[],[s835,s756,s340,s125,s128,s459]) ).
cnf(s915,plain,
( ~ spl18_126
| spl18_88
| ~ spl18_161
| ~ spl18_162
| spl18_72 ),
inference(rat,[],[s79,s385,s758,s479,s379,s510,s810]) ).
cnf(s916,plain,
( ~ spl18_73
| ~ spl18_70
| ~ spl18_66 ),
inference(rat,[],[s477,s72,s70,s366,s484,s459,s394,s324,s322]) ).
cnf(s917,plain,
( ~ spl18_70
| ~ spl18_66
| spl18_65 ),
inference(rat,[],[s325,s72,s833,s353,s378,s66,s835,s916,s324,s442,s459]) ).
cnf(s918,plain,
( spl18_86
| spl18_148
| spl18_70
| ~ spl18_66 ),
inference(rat,[],[s73,s770,s312,s313,s121,s123,s124,s911,s489,s910,s459,s394,s912]) ).
cnf(s920,plain,
( spl18_103
| spl18_122
| spl18_71
| spl18_126
| spl18_111
| spl18_87
| spl18_68 ),
inference(rat,[],[s501,s92,s839,s358,s513,s77,s832]) ).
cnf(s921,plain,
( ~ spl18_72
| spl18_126
| spl18_128
| spl18_111
| spl18_79
| ~ spl18_86
| ~ spl18_66 ),
inference(rat,[],[s501,s92,s96,s445,s449,s73,s417,s920,s373,s391,s835,s484,s70,s388,s444,s459,s394,s375,s335]) ).
cnf(s922,plain,
~ spl18_76,
inference(rat,[],[s378,s833,s835,s326,s366]) ).
cnf(s923,plain,
( spl18_81
| spl18_93
| ~ spl18_158
| spl18_68
| spl18_65 ),
inference(rat,[],[s358,s92,s94,s373,s378,s510,s90,s429,s479,s483,s491,s497,s839,s458,s406,s376,s795,s65,s838,s397,s810]) ).
cnf(s924,plain,
( ~ spl18_73
| spl18_126
| spl18_125
| spl18_114
| spl18_113 ),
inference(rat,[],[s92,s511,s445,s833,s90,s484,s777]) ).
cnf(s925,plain,
( spl18_86
| ~ spl18_66
| spl18_65 ),
inference(rat,[],[s401,s92,s96,s373,s391,s835,s924,s379,s421,s429,s468,s839,s458,s497,s457,s69,s836,s453,s923,s745,s439,s308,s837,s402,s451,s397,s118,s119,s120,s918,s459,s394,s917,s130,s812]) ).
cnf(s926,plain,
( spl18_149
| ~ spl18_72
| spl18_148
| ~ spl18_86
| ~ spl18_66 ),
inference(rat,[],[s921,s379,s429,s315,s840,s187,s317,s329,s115,s113,s394,s912,s812,s130]) ).
cnf(s927,plain,
( ~ spl18_72
| spl18_148
| ~ spl18_86
| ~ spl18_66 ),
inference(rat,[],[s73,s312,s313,s123,s124,s926,s444,s459,s394,s335]) ).
cnf(s928,plain,
( spl18_149
| ~ spl18_80
| spl18_148
| ~ spl18_66 ),
inference(rat,[],[s840,s315,s187,s317,s436,s115,s113,s394,s912,s812]) ).
cnf(s929,plain,
( ~ spl18_149
| spl18_85
| ~ spl18_66 ),
inference(rat,[],[s73,s770,s312,s313,s121,s123,s124,s459,s394]) ).
cnf(s930,plain,
( spl18_148
| ~ spl18_86
| ~ spl18_66 ),
inference(rat,[],[s72,s928,s927,s459,s929,s335,s922]) ).
cnf(s931,plain,
( ~ spl18_128
| ~ spl18_73
| spl18_114
| spl18_113 ),
inference(rat,[],[s510,s924,s479,s483,s810]) ).
cnf(s932,plain,
( ~ spl18_73
| spl18_114
| ~ spl18_157
| ~ spl18_158
| spl18_68 ),
inference(rat,[],[s924,s379,s421,s468,s839,s491,s931,s397]) ).
cnf(s933,plain,
( spl18_127
| spl18_114
| ~ spl18_157
| ~ spl18_158
| spl18_68 ),
inference(rat,[],[s92,s510,s358,s479,s94,s491,s497,s839,s468,s378,s373,s835,s932,s810]) ).
cnf(s934,plain,
( spl18_114
| spl18_68
| ~ spl18_157
| ~ spl18_158 ),
inference(rat,[],[s401,s96,s92,s491,s379,s429,s933,s373,s391,s835,s932]) ).
cnf(s935,plain,
( spl18_65
| ~ spl18_3
| ~ spl18_54
| ~ spl18_64
| ~ spl18_36
| ~ spl18_14
| ~ spl18_8
| ~ spl18_45
| ~ spl18_21
| ~ spl18_31
| ~ spl18_39
| ~ spl18_18 ),
inference(rat,[],[s934,s458,s119,s120,s930,s472,s925,s459,s905]) ).
cnf(s936,plain,
( spl18_149
| spl18_150
| spl18_86
| spl18_148
| ~ spl18_65 ),
inference(rat,[],[s909,s308,s186,s317,s114,s115,s310,s305,s812]) ).
cnf(s937,plain,
( ~ spl18_72
| spl18_86
| spl18_148
| ~ spl18_65 ),
inference(rat,[],[s75,s405,s499,s376,s489,s73,s312,s313,s123,s124,s936,s125,s343,s70,s328,s68,s324,s388,s444,s447,s310,s305,s130,s893]) ).
cnf(s938,plain,
( spl18_86
| spl18_148
| ~ spl18_65 ),
inference(rat,[],[s96,s385,s429,s93,s465,s834,s406,s439,s839,s308,s501,s831,s92,s915,s405,s341,s312,s121,s123,s124,s936,s373,s391,s125,s835,s343,s484,s70,s322,s68,s409,s477,s72,s937,s447,s310,s305,s130,s893,s922]) ).
cnf(s939,plain,
( spl18_149
| spl18_148
| ~ spl18_65 ),
inference(rat,[],[s436,s315,s72,s840,s324,s187,s317,s68,s115,s113,s894,s447,s310,s305,s127,s568,s375,s938,s922,s812,s893,s811]) ).
cnf(s940,plain,
( spl18_148
| ~ spl18_65 ),
inference(rat,[],[s72,s409,s444,s68,s73,s337,s312,s313,s121,s123,s124,s939,s335,s938,s447,s310,s305,s922,s893]) ).
cnf(s941,plain,
( ~ spl18_78
| ~ spl18_65 ),
inference(rat,[],[s832,s417,s454,s834,s95,s874,s409,s451,s406,s429,s468,s839,s501,s500,s439,s308,s837,s792,s472,s458,s934,s119,s447,s120,s940,s130,s812]) ).
cnf(s942,plain,
~ spl18_65,
inference(rat,[],[s416,s77,s73,s390,s449,s96,s391,s835,s484,s70,s477,s72,s322,s324,s442,s68,s941,s429,s468,s376,s457,s839,s458,s501,s934,s119,s120,s940,s305,s310,s447,s922,s893]) ).
cnf(s944,plain,
( ~ spl18_3
| spl18_1 ),
inference(rat,[],[s935,s842,s16,s193,s844,s4,s24,s853,s220,s560,s551,s614,s206,s600,s851,s45,s845,s848,s209,s686,s185,s253,s227,s272,s552,s871,s100,s97,s98,s99,s101,s846,s872,s189,s548,s555,s672,s675,s676,s942,s824,s826,s869,s129]) ).
cnf(s946,plain,
( ~ spl18_129
| spl18_1 ),
inference(rat,[],[s17,s215,s234,s619,s865,s103,s104,s192,s870,s944]) ).
cnf(s947,plain,
( spl18_3
| spl18_1 ),
inference(rat,[],[s552,s46,s42,s233,s287,s842,s193,s253,s265,s620,s635,s14,s605,s220,s25,s666,s259,s260,s650,s105,s107,s108,s866,s946,s192,s870,s869,s824]) ).
cnf(s948,plain,
spl18_1,
inference(rat,[],[s947,s944]) ).
cnf(s950,plain,
~ spl18_3,
inference(rat,[],[s547,s948]) ).
cnf(s951,plain,
~ spl18_4,
inference(rat,[],[s285,s948]) ).
cnf(s952,plain,
( ~ spl18_64
| ~ spl18_129 ),
inference(rat,[],[s552,s46,s42,s229,s562,s842,s193,s223,s231,s9,s253,s226,s265,s620,s261,s619,s104,s207,s234,s103,s824,s950,s826,s951]) ).
cnf(s953,plain,
~ spl18_129,
inference(rat,[],[s298,s850,s851,s213,s220,s223,s13,s254,s952,s215,s255,s619,s261,s865,s104,s951,s824,s950]) ).
cnf(s954,plain,
spl18_130,
inference(rat,[],[s866,s950,s869,s953]) ).
cnf(s955,plain,
spl18_143,
inference(rat,[],[s108,s954]) ).
cnf(s956,plain,
spl18_142,
inference(rat,[],[s107,s954]) ).
cnf(s958,plain,
spl18_140,
inference(rat,[],[s105,s954]) ).
cnf(s959,plain,
~ spl18_55,
inference(rat,[],[s650,s824,s955]) ).
cnf(s960,plain,
~ spl18_53,
inference(rat,[],[s260,s951,s955]) ).
cnf(s961,plain,
~ spl18_39,
inference(rat,[],[s604,s826,s956]) ).
cnf(s963,plain,
~ spl18_7,
inference(rat,[],[s636,s129,s958]) ).
cnf(s964,plain,
spl18_23,
inference(rat,[],[s29,s959,s963,s961]) ).
cnf(s965,plain,
~ spl18_24,
inference(rat,[],[s262,s964]) ).
cnf(s967,plain,
~ spl18_54,
inference(rat,[],[s605,s955,s965]) ).
cnf(s968,plain,
spl18_56,
inference(rat,[],[s14,s960,s959,s967]) ).
cnf(s970,plain,
spl18_64,
inference(rat,[],[s635,s955,s968]) ).
cnf(s971,plain,
spl18_135,
inference(rat,[],[s620,s970]) ).
cnf(s972,plain,
~ spl18_61,
inference(rat,[],[s265,s970]) ).
cnf(s973,plain,
~ spl18_63,
inference(rat,[],[s253,s824,s971]) ).
cnf(s974,plain,
~ spl18_62,
inference(rat,[],[s193,s965,s971]) ).
cnf(s976,plain,
spl18_50,
inference(rat,[],[s842,s967,s974]) ).
cnf(s978,plain,
~ spl18_49,
inference(rat,[],[s287,s976]) ).
cnf(s980,plain,
~ spl18_51,
inference(rat,[],[s233,s976]) ).
cnf(s983,plain,
spl18_57,
inference(rat,[],[s42,s972,s960,s978]) ).
cnf(s984,plain,
spl18_59,
inference(rat,[],[s46,s973,s959,s980]) ).
cnf(s992,plain,
$false,
inference(rat,[],[s552,s984,s983]) ).
fof(f5637,plain,
$false,
inference(avatar_sat_refutation,[],[s992]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n002.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 19:32:23 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 4.29/1.39 % (674657)Detected formulas, will run a generic FOF schedule.
% 4.29/1.39 % (674664)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=2240469005:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.29/1.39 % (674667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3671713057:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.29/1.39 % (674666)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2912992484:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.29/1.39 % (674665)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2646166245:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.29/1.39 % (674662)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=2655735943:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.29/1.39 % (674668)dis-21_1_sil=8000:lcm=predicate:random_seed=1001500918: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)
% 4.29/1.39 % (674663)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=595034690:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.29/1.39 % (674668)Refutation not found, incomplete strategy
% 4.29/1.39 % (674668)------------------------------
% 4.29/1.39 % (674668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.39 % (674668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.39 % (674668)CaDiCaL version: 2.1.3
% 4.29/1.39 % (674668)Termination reason: Refutation not found, incomplete strategy
% 4.29/1.39 % (674668)Time elapsed: 0.016 s
% 4.29/1.39 % (674668)Peak memory usage: 89 MB
% 4.29/1.39 % (674668)Instructions burned: 31 (million)
% 4.29/1.39 % (674665)Instruction limit reached!
% 4.29/1.39 % (674665)------------------------------
% 4.29/1.39 % (674665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.39 % (674665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.39 % (674665)CaDiCaL version: 2.1.3
% 4.29/1.39 % (674665)Termination reason: Instruction limit
% 4.29/1.39 % (674665)Termination phase: Saturation
% 4.29/1.39 % (674665)Time elapsed: 0.050 s
% 4.29/1.39 % (674665)Peak memory usage: 90 MB
% 4.29/1.39 % (674665)Instructions burned: 111 (million)
% 4.29/1.39 % (674666)Instruction limit reached!
% 4.29/1.39 % (674666)------------------------------
% 4.29/1.39 % (674666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.39 % (674666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.39 % (674666)CaDiCaL version: 2.1.3
% 4.29/1.39 % (674666)Termination reason: Instruction limit
% 4.29/1.39 % (674666)Termination phase: Saturation
% 4.29/1.39 % (674666)Time elapsed: 0.051 s
% 4.29/1.39 % (674666)Peak memory usage: 88 MB
% 4.29/1.39 % (674666)Instructions burned: 121 (million)
% 4.29/1.39 % (674667)Instruction limit reached!
% 4.29/1.39 % (674667)------------------------------
% 4.29/1.39 % (674667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.39 % (674667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.39 % (674667)CaDiCaL version: 2.1.3
% 4.29/1.39 % (674667)Termination reason: Instruction limit
% 4.29/1.39 % (674667)Termination phase: Saturation
% 4.29/1.39 % (674667)Time elapsed: 0.072 s
% 4.29/1.39 % (674667)Peak memory usage: 90 MB
% 4.29/1.39 % (674667)Instructions burned: 139 (million)
% 4.29/1.39 [W928 19:32:23.872440084 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.
% 4.29/1.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.29/1.39 [W928 19:32:23.872476280 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.
% 4.29/1.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.29/1.39 [W928 19:32:23.872496721 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:23.872503703 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:23.872517888 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:23.872536108 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 % (674676)lrs+10_1_sil=8000:sp=occurrence:random_seed=2003061473:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.21/1.44 % (674677)lrs+10_1_sil=32000:urr=on:br=off:random_seed=773985112:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.21/1.44 % (674678)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3050484610:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.21/1.44 % (674668)------------------------------
% 5.21/1.44 % (674668)------------------------------
% 5.21/1.44 % (674677)Instruction limit reached!
% 5.21/1.44 % (674677)------------------------------
% 5.21/1.44 % (674677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.44 % (674677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.44 % (674677)CaDiCaL version: 2.1.3
% 5.21/1.44 % (674677)Termination reason: Instruction limit
% 5.21/1.44 % (674677)Termination phase: Saturation
% 5.21/1.44 % (674677)Time elapsed: 0.079 s
% 5.21/1.44 % (674677)Peak memory usage: 90 MB
% 5.21/1.44 % (674677)Instructions burned: 158 (million)
% 5.21/1.44 % (674678)First to succeed.
% 5.21/1.44 % (674678)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-674657"
% 5.21/1.44 % (674676)Instruction limit reached!
% 5.21/1.44 % (674676)------------------------------
% 5.21/1.44 % (674676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.44 % (674676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.44 % (674676)CaDiCaL version: 2.1.3
% 5.21/1.44 % (674676)Termination reason: Instruction limit
% 5.21/1.44 % (674676)Termination phase: Saturation
% 5.21/1.44 % (674676)Time elapsed: 0.146 s
% 5.21/1.44 % (674676)Peak memory usage: 90 MB
% 5.21/1.44 % (674676)Instructions burned: 286 (million)
% 5.21/1.44 % (674664)Refutation not found, incomplete strategy
% 5.21/1.44 % (674664)------------------------------
% 5.21/1.44 % (674664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.44 % (674664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.44 % (674664)CaDiCaL version: 2.1.3
% 5.21/1.44 % (674664)Termination reason: Refutation not found, incomplete strategy
% 5.21/1.44 % (674664)Time elapsed: 0.424 s
% 5.21/1.44 % (674664)Peak memory usage: 131 MB
% 5.21/1.44 % (674664)Instructions burned: 1146 (million)
% 5.21/1.44 [W928 19:32:24.102182821 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102213651 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102249397 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102262047 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102297294 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102319368 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102462151 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102485951 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102523278 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102536011 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102566901 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 [W928 19:32:24.102580214 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.
% 5.21/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.21/1.44 % (674682)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=3323316906:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.21/1.44 % (674683)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=551100310:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.21/1.44 % (674684)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1060035745:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.21/1.44 % (674683)Instruction limit reached!
% 5.21/1.44 % (674683)------------------------------
% 5.21/1.44 % (674683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.44 % (674683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.44 % (674683)CaDiCaL version: 2.1.3
% 5.21/1.44 % (674683)Termination reason: Instruction limit
% 5.21/1.44 % (674683)Termination phase: Saturation
% 5.21/1.44 % (674683)Time elapsed: 0.106 s
% 5.21/1.44 % (674683)Peak memory usage: 88 MB
% 5.21/1.44 % (674683)Instructions burned: 297 (million)
% 5.21/1.44 % (674664)------------------------------
% 5.21/1.44 % (674664)------------------------------
% 5.21/1.44 % (674682)Instruction limit reached!
% 5.21/1.44 % (674682)------------------------------
% 5.21/1.44 % (674682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.44 % (674682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.44 % (674682)CaDiCaL version: 2.1.3
% 5.21/1.44 % (674682)Termination reason: Instruction limit
% 5.21/1.44 % (674682)Termination phase: Saturation
% 5.21/1.44 % (674682)Time elapsed: 0.147 s
% 5.21/1.44 % (674682)Peak memory usage: 91 MB
% 5.21/1.44 % (674682)Instructions burned: 249 (million)
% 5.21/1.44 % (674678)Refutation found. Thanks to Tanya!
% 5.21/1.44 % SZS status Theorem for theBenchmark
% 5.21/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 5.92/1.63 % (674678)------------------------------
% 5.92/1.63 % (674678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.63 % (674678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.63 % (674678)CaDiCaL version: 2.1.3
% 5.92/1.63 % (674678)Termination reason: Refutation
% 5.92/1.63 % (674678)Time elapsed: 0.117 s
% 5.92/1.63 % (674678)Peak memory usage: 91 MB
% 5.92/1.63 % (674678)Instructions burned: 232 (million)
% 5.92/1.63 % (674678)------------------------------
% 5.92/1.63 % (674678)------------------------------
% 5.92/1.63 % (674657)Success in time 0.758 s
% 5.92/1.63 % Vampire exiting
%------------------------------------------------------------------------------